diff --git "a/data/dm_maths/full_data_1/1103_11255.jsonl" "b/data/dm_maths/full_data_1/1103_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1103_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 13858559.\nAnswer: 11, 13, 199, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 1, y: 2, p: 1, n: 2}. Give prob of sequence spff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112 - 37?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 67*c**6\/30 + 101*c**5\/6 - 2*c**2 - 1479. What is the third derivative of q(m) wrt m?\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19024 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s - 88 + 51 + 2*s**3 - 6*s**2 + 58. Suppose -3*r + w + 65 = 0, 5 = -3*w + 17. Calculate the remainder when d(5) is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 2 in descending order.\nAnswer: 14, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023 (base 5) to base 3.\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 183 = -193 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*r = 34, -19*r + 16*r = 4*b - 16. Let c = 734 - b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95217 = -130*n + 421*n + 487*n - 3589 for n.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890156 is divided by 3502.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4854*-58.8\nAnswer: -285415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3439827, -13759305, -30958425, -55037181, -85995567, -123833577?\n\"Answer: k**3 - 3439827*k**2 - 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*u - 89, 4*u - 159 = -u - 12*q + 15*q for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {b: 2, o: 10, n: 1, p: 1, c: 2, i: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*u = 4*f - 5, -5*f - 5*u = 0. Let s = -9.5 + 7. Let x = s - -1.5. Which is the closest to f? (a) 0.3 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 0. Suppose -l*r = -3*r + 4. Solve 0 = 4*h + r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12 + (5 - (2185\/(-76))\/23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-5)\/(10\/6). Let k(b) be the third derivative of -b**6\/120 + b**5\/60 - b**4\/24 + b**3\/3 - 8*b**2. Let l be k(v). Solve l*n - 5 = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 81, 180, 317?\n\"Answer: 19*m**2 + 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - 160\/30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2640 + 6*x + 296 + 47*x**4 + 4*x - 2*x wrt x?\nAnswer: 188*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*g + 3*g - 600. Sort -4, 0.5, -0.8, g.\nAnswer: -4, -0.8, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*r + 24*r - 84 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 44*s + 289. Determine q(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 180 = 4*i. Let v(s) = -s**3 + 6*s**2 + 3*s - 15. Let z be v(6). Differentiate 43 - i*o**z + 73*o - 38*o - 35*o with respect to o.\nAnswer: -135*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -142. Is x\/2*-4*(-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 1387*q**2 - 4*q - 55*q**5 + 4*q - 8*q**5 wrt q?\nAnswer: -3900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45293841*f**3 + 12653141 wrt f.\nAnswer: -135881523*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3616 and 10848?\nAnswer: 10848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 2. Let h(p) = -11*p + 6. Let w(q) = 6*h(q) - 17*j(q). Let x be w(0). Solve 3*n = x*c + 1, -c + 3*c = 5*n + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 33 = r, -2*r + 5*d + 216 = 177 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*f + 100 = 0, -4*j = -5*j + 5*f + 16. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1 - (-51 - -45)) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/4 + x**3\/6 - 5*x**2 - 23*x. Let f be a(3). Is (f\/(-10))\/((-1)\/2) - -409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 9:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 411*r + 39. Let t(h) = -189*h - 18. Let d(x) = -6*l(x) - 13*t(x). Let i(v) = -18*v**2. Calculate i(d(m)).\nAnswer: -1458*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -9, -4, 734 in ascending order.\nAnswer: -9, -4, 0, 3, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 14\/8 - 3029939\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:40 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 24. Let l(h) = -2*h**2 + 2535*h + 87. What is w(l(n))?\nAnswer: -4*n**2 + 5070*n + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7\/32, 4 in descending order.\nAnswer: 4, 1, 7\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 426\/24 - (-1)\/4. Solve 5*i + 4*n + 23 = 0, -6*n - r = 4*i - 3*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 - 23500*l**3 - 93976*l**2 - 93968*l = 0.\nAnswer: -11746, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.05 (c) -1.9 (d) 0.3 (e) 0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/60 + h**4\/3 - 4*h**3\/3 + 3*h**2\/2 - 43*h. Let o(t) be the first derivative of d(t). What is o(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 14. Let p(n) = -n - 4. Let w be p(j). Suppose -d = 2*o - 113, w*o = -d - 0*d + 229. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14942 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(920\/480)*22\/(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/18 - (-3)\/(-18) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 14*c + 49 + 46 + 38.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 14) to base 13\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*w = -5*w + 10, -5*m = -4*w - 78. Let h = m - 12. Suppose 0*x = -4*j - 4*x - 12, 0 = -2*j + 3*x + 4. Is h != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-15) + 8\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a6 - 632?\nAnswer: -57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-585))\/(28\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 7172744\nAnswer: 21\/7172744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085010 is divided by 633?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 6*z**2 + 2*z. Let i(o) = -8*o - 4. Let p be i(-1). Let b(r) = 1 - 5 + p + 2*r. What is n(b(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31025 + 72*k + 31025 to v + x*k and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30672 = -3*d + 3*o, 3*d + 3*o - 30665 = -o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -3, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213013323.\nAnswer: 3, 29, 191, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/4 + 186*a**4 - 1481*a**3\/4 - 1117*a**2\/2 + 1485*a - 742 = 0. Calculate a.\nAnswer: -2, 1, 2, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -562 + 16296\/29. Which is the biggest value? (a) f (b) -0.3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 49, 42, 35, 28, 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740764367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 52235595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99417 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahht when four letters picked without replacement from {h: 4, a: 1, t: 6}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 + 203*y**2*z + y*z + 9*y - 36*z wrt y?\nAnswer: 12*y + 406*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 216*l**3 - 6*l**2 - 652*l - 432 = 0. What is l?\nAnswer: -108, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-24 - (37 + -34)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose 0 = k - d*k + 8. Suppose 2*x - 3 = -2*f - 9, -5*f = -k*x - 12. Solve -l - 5 = -f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2, -6*d = -d + 2*b - 133. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 + 6*g**3 - 4*g + 3*g + 0*g**3 + 0*g**2 - g**2. Let o be (-6 + 4)\/(1 - (-3)\/(-1)). Calculate d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2883824 divided by -1441912?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66725, -66736, -66745, -66752?\n\"Answer: i**2 - 14*i - 66712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 15 = -5*k, -5*k + 8*k = 5*z - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 6. Determine w(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -3*p + 5*p - 3*a, 4*a = -2*p + 126. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 578*j - 13 = 575*j, -w - 4*j = -22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11213312 (base 5) in base 12?\nAnswer: 4a5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-36)*(2 + -4 + 2). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7014 + 7013. Let k = -1 + -1. Which is the biggest value? (a) k (b) -2.5 (c) -1\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 7*d**2 + 5*d + 39. Let g be h(-9). What is the units digit of (0 - (-3 + 0))\/(3\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-3 - 2*m + 3) + 2*m - 2*m - 3*m - m - 2*m + 2*m + (-4 + 4 - 2*m)*(4 - 3 + 0) as u*m + b and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u. Let t(r) = -19*r. Let n(o) = -7*g(o) + 5*t(o). Determine n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*m - 216 = 0, 11*m = -3*l + 10*m + 166. What is the highest common factor of 72 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*q - 19 - 8, 4*w + 4*q = 0. Factor -3*l**2 - 2*l**4 - l**2 + 4*l**2 + 6*l**w - 8*l.\nAnswer: -2*l*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -24. Let s be -3*(-3)\/z + (-220)\/(-3). Suppose 2*p - s = -7. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 161. Let n be j(33). What is the highest common factor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/15 + 277*y**4\/3 + 2224*y**3\/3 + y**2 + 8363*y. Factor t(o).\nAnswer: -4*(o - 556)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - (1 + -10 + 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -8) + 12 - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose m*c = -0*c. Do c and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -40 + 30 + -44?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qos when three letters picked without replacement from {c: 2, s: 1, o: 13, q: 1}.\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/90 and -17\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/(i*i**(-9)))**13\/((i\/i**(-1\/4))**22*i**(-6)\/(i*i\/(i\/(i**(-6)\/i)))) assuming i is positive.\nAnswer: i**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -23, -4 in descending order.\nAnswer: -3, -4, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/184 and 97\/36.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8455 and 15.\nAnswer: 25365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (54\/3*11)\/(2\/8).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s*s**24)**(26\/7) assuming s is positive.\nAnswer: s**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3175 from -2.\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 4 (c) -1\/9 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*j*n**3*z**3 - j*n**3*z + 14*j*z + 48*n**3*z + 8*n**2*z**3 + 2*n wrt j?\nAnswer: 12*n**3*z**3 - n**3*z + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 2*f - f + 0*f**3 - 4*f + 4*f**3 + 3. Let c(w) = 15*w**3 + 7*w**2 - 11*w + 11. Let n(a) = -6*c(a) + 22*s(a). Solve n(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200242647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:45 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 165. What is the remainder when o is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.946 + 0.646. Let z = 0.115 + -0.055. Sort b, 0.3, -0.4, z.\nAnswer: -0.4, b, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13817593.03 to the nearest 100000.\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 280 = 3*c. Suppose 0 = a + 5*i + 15, 2*i + c = -3*a - 2*i. Let x be a\/6*(-36)\/15. Solve 2*l = -4*u + x + 4, -2*l = -4*u + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.034 in -6.04, -5, -0.1, 0.2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(0*r - 3*r + 0*r + (2*r - 3 + 3)*(2 + 2 - 3) + 0*r + 0*r + 2*r + 4*r + r - 4*r + 1 + 2*r - 1)*(-10792*r + 10792*r + 227*r**3).\nAnswer: -1816*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -8*o - 64 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15740 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*p + 13, 3*p + 3 = -0*p. What is the units digit of (-342)\/4*j\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/80 - 47*a**4\/48 + 201*a**3\/8 - 2349*a**2\/8 + 2*a - 132. Factor r(x).\nAnswer: (x - 29)*(x - 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 412.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5, -2*r = -2*i - i - 33. Solve 2*q - 7*q = -r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) 4 (c) -38\/11 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246680 by 49336.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -810 + 805. Sort m, 37, 0, 4 in descending order.\nAnswer: 37, 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -7 (c) -3 (d) 5.9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 31*h**2 + 187*h + 72. Let m be y(-23). Which is the nearest to 10? (a) 0.5 (b) m (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54185954 to the nearest 100000.\nAnswer: -54200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2212 - 1456*s - 37*s**2 - 31*s**2 + 62*s**2 + 1352*s wrt s.\nAnswer: -12*s - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-41)\/4 + -1)*(7 + -3). Let p = r - -48. Suppose 4*z - 4*x = 8*z - 268, -177 = -p*z + 3*x. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 283, 426, 569?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*u**2 + 231*u**2 - 103*u**2 + 2*u)*(u + 0 + 0).\nAnswer: 20*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 7) to base 11.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2086*o + 8389*o - 2091*o - 2096*o - 2097*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566634 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -279139, -558284, -837441, -1116616, -1395815, -1675044, -1954309?\n\"Answer: -z**3 - 279138*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 3\/1532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*g + 16 = 483*g. Let i be 16\/20*10\/g. Solve -12 = -d - 3*t - i, 0 = 2*t - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2910\/7 + 2\/7. Let h be 3\/(-1)*m\/(-24). Suppose -5*t + 5*u = -h - 8, -5*u = 4*t - 3. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929225493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b**2 - 3*b\/5 = 0. Calculate b.\nAnswer: -1\/75, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14c7c - -3306?\nAnswer: 17f82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -16, 16, 50, 86?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-136) + (-2)\/(3 + -1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*x + 6, 3 = 2*z - 4*x - 1. Let k(t) = -10*t - 258. Let y be k(-28). Which is the closest to 1? (a) z (b) y (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433165 (base 8) to base 14\nAnswer: 3abc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (29 - -4) + -2 + 3.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51302, 51344, 51386, 51428, 51470?\n\"Answer: 42*z + 51260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19399, -39534, -59669, -79804?\n\"Answer: -20135*k + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46 + 14523?\nAnswer: 14522.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128 = 22*v - 69*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-260)\/2 + 1). Is -2 + 1*(f + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)\/q)\/(q*q\/q**(-8)*q))\/(q\/q**(-4\/5))**33 assuming q is positive.\nAnswer: q**(-417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-9))\/(6\/99). Suppose j - z = 2*x, 4*x - 3*j + 38 = -10. Let s(m) = -m**2 - 10*m - 5. List the prime factors of s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 506384*x + 325484 with respect to x.\nAnswer: 506384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24237 divided by -46?\nAnswer: -24237\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 1053*u + 2048*u - 1027*u)*(8*u + 1 - 12*u + 0*u) to l*u**2 + s*u + r and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**2 + 4*h**2 + 10*h**2. Let m(a) = a**2 - a + 2. Let j(s) = 12*s**2 - 8*s + 16. Let l(o) = j(o) - 8*m(o). What is l(r(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9538, 9595, 9652, 9709, 9766, 9823?\nAnswer: 9880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - i - 14 = 0, 72*x + 64 = 68*x + 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + (2 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.618 + 7.9. Let i = -0.182 + k. Which is smaller: 1\/82 or i?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/6 + w**3\/6 - 892*w**2. Let j be (-24)\/9*(-6)\/(-4). Let f(c) = 5*c - 2. What is j*r(z) - 3*f(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*j - 0 - 4, -2*j + 6 = 2*r. Suppose 4*n = -3*k - 42, 176*n - 178*n + 44 = -5*k. Let f be 108\/(-26) + 10\/65. Sort k, f, r in decreasing order.\nAnswer: r, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhjhiapjp. What is prob of sequence ihpp?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/2 + 49\/10. Let u = 8 - 8.8. Let n = u + -0.2. What is the closest to n in j, 2\/3, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 9*r - 9*r + 4*r. Let d(i) = -i. Calculate d(u(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 v, and 1 l when four letters picked without replacement from {l: 2, u: 5, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 178216?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -466 * 0.607\nAnswer: -282.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:43 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.026562699 to two dps.\nAnswer: -4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/15 and 43\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 63*i + 1. Let n be u(3). Round n to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let d = -9 - v. What are the prime factors of d*-1*(-3)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34462, -34569, -34744, -34987, -35298?\n\"Answer: -34*r**2 - 5*r - 34423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -29, -23, -15, -5, 7?\n\"Answer: v**2 + v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001759 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -10*l + 9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15977000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = -6. Let h(i) = 34*i + 21. Let p(c) = -12*c - 7. Let z(l) = 4*h(l) + 11*p(l). Let u(r) = 5*r + 8. Calculate n*u(j) + 7*z(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-9)\/(-36)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 + 8. Suppose 3*g = 2*o + 10, 3*o = -5*g - o + 2. Find the second derivative of z - 5*z**h + g*z**4 + 2*z wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 - h + 4. Let x(r) = r**3 - r**2 - 1. Let d be (-3)\/(3\/(-10)) - 1. Let j = d + -11. Let k(q) = j*x(q) + g(q). What is k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*n = -8, -6*n = 4*o - 5*n + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 4*h**2 - 3*h - 2. Let a be p(-2). Suppose -i + 2*d = -11, -2*d - 74 = -0*i - a*i. Suppose -55 = -4*l + i. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqv when three letters picked without replacement from aqqnkvqnkn.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtttxxxtttx. What is prob of sequence ttt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*f + 3978 - 22947 - 108*f + 53*f in the form h*f + n and give n.\nAnswer: -18969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1039487. Let x(m) = 3*m**2. Calculate d(x(c)).\nAnswer: -3*c**2 - 1039487","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 b when three letters picked without replacement from {b: 5, y: 1, v: 2, h: 1, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.1 - -7. Let w = -31\/66 - 1\/33. What is the closest to j in 0.1, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 940809064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222188\/6812685 + 4\/13763. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*c + 3, c = 2*m - 2*c - 11. Let z(h) = -12*h. Give z(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 69*m + 26040. Determine j(-131).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express 682*q**3 + 677*q**3 - 1345*q**3 + 21 as l*q**3 + b + p*q + f*q**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 954 - 932. What is the remainder when 60 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 86*k + 2. Let b be g(1). Let q be (b\/(-55))\/(2\/5). Let u(s) = 4*s + 5. Determine u(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 + 10 = 0. Suppose -4*v + 8 = -3*y - 3*v, t*v - 6 = -y. Is (-460)\/(-15) + y\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 7*d + 5. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 2*g**2 - 6*g + 12. Let l be n(4). Let a = -103 - l. Solve 0 = 2*b + a - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 69545?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5\/7 - 18*z**4\/7 - 3357*z**3\/7 - 3288*z**2\/7 + 6660*z\/7 = 0.\nAnswer: -30, -2, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nzzngggnnnzgnngzn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21786 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -82.9. Which is the closest to -0.1? (a) y (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3169 + 1125?\nAnswer: 4294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 167*m - 3*m**2 - 159*m)*(-2 - 2*m + 0 + 3).\nAnswer: 16*m**3 - 24*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-24) + (-1)\/(-6) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzzhzzhhzhzhzhhzzhh. What is prob of sequence zzhh?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 14. Let c be (-4)\/8*s + 12. Factor c*w + 1 + w**4 - 4*w - 4*w**3 - 8*w + 6*w**2.\nAnswer: (w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/(o\/(o\/(o\/o**(-1\/3)))))\/((o**(2\/17)\/o)\/(o\/o**4)) assuming o is positive.\nAnswer: o**(-635\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*w - 27. Let o be (w\/(-108))\/(2\/(-6)). Sort -3\/5, 0.03, o.\nAnswer: -3\/5, o, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34989, 60014, 85039, 110064, 135089?\n\"Answer: 25025*l + 9964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 7, 21 = -25*x + 21*x - 3*q. Let t(i) = -10*i. Let h be t(-1). Let l = -8 + h. Solve -n + 2*j - 5 = -l*n, -2*n + 3*j - 4 = x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 - 255. Suppose z = 4*q + 7*q - 55. Put 7, q, -5 in increasing order.\nAnswer: -5, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -1 (c) 2\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57457916 and 1087351.\nAnswer: 1091700404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 6. Let q(b) = 5. Let i(h) = -5*n(h) - 6*q(h). What is i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 0 in descending order.\nAnswer: 4, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17197 and 733381?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2724 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*j - 53. Suppose -o = o - 4. Let q(r) = 2*r - 1. Let w be q(5). Solve o*z - w = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:29 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 58 = u - 3*u, -17 - 2 = -5*u + 6 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-15))\/((-1140)\/475)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6984128 (base 11) to base 4\nAnswer: -232202313110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-4) - 1)*4. Let j be 24\/14 - p\/77. Suppose 3*y = -j*y + 3395. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -61*n - 32*n**2 - 57*n + 118*n. Let s(j) be the first derivative of j**3 - 58. Determine f(s(g)).\nAnswer: -288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4)*2 + 1308\/8. Suppose f = 6*c + 18. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 4. Let h be w(-4). Suppose 3*y - 20 = -2*y. Put y, -5, h, 3 in descending order.\nAnswer: y, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19006560 divided by 14184.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9520 and -17\/198170?\nAnswer: 26951120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -1025, -1813, -2601, -3389, -4177?\nAnswer: -4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 2, l: 9, z: 3}. Give prob of picking 2 n and 2 z.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 1\/6*y**3 - 1\/336*y**8 + 0*y - 1\/60*y**6 + 1\/8*y**4 + 0 - 1\/70*y**7 + 1\/30*y**5 - 4*y**2. Find g, given that f(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfwl when four letters picked without replacement from lhuufwl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356335 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, -5, -4, -1, 10.\nAnswer: -14, -5, -4, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*u = -370*u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v - 11\/3*v**3 + 13\/12*v**4 + 0 - 26*v**2. Differentiate j(n) with respect to n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 14*k - 25. Suppose 0 = -d - 1. Put k, 5, d in ascending order.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 - (-2 + -2)) + (-17 - -41 - 35).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 4. Suppose -u + l - 6 = 0. Is 12 a factor of (5 - 1)*76\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 73276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18*n + 1 - 4*n.\nAnswer: 14*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4)*(-3)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 3 + -30 + -35 + 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dme when three letters picked without replacement from mmmde?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3485 + 1.9485. What is the third biggest value in w, -1, 0.09, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 1021, 1601?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)\/n**1)**(-1\/3)\/(((n*n**(-3\/8)*n)\/n)\/n**(2\/7)*n**(-1\/16)*n*n*n**3*n*n) assuming n is positive.\nAnswer: n**(-2221\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 363*l.\nAnswer: -363*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(38) + sqrt(38))*1)\/(sqrt(2)*1*3) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1523?\nAnswer: -1\/1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15639.85 to the nearest 100.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 317\/3. Let y = 14350 + -14350.3. Let n = 2 + -4. Which is the fourth biggest value? (a) y (b) n (c) 1\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 29 = 3*d, 0 = -2*t + d - 2*d + 5. Suppose 70 - 214 = t*a. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12352?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.21 - 31.049?\nAnswer: -28.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:29 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/66)\/(-1 + (-24)\/9 + 5).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -167b3 (base 12) to base 15\nAnswer: -984c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*a - 308*a + 2*j + 36 = 0, -5*a = -2*j - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3897 and 107\/12264?\nAnswer: 15930936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-825)\/(-110)*(-6)\/(-18)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (110\/880)\/((-1)\/(-16)). Let m(i) = 2*i**3 - 2*i**2 - 6. Let g(l) = -1. Calculate o*g(v) + m(v).\nAnswer: 2*v**3 - 2*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddfdf. What is prob of picking 1 f and 2 d?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*k**3*n - 108*k**3 - 6*k**2 + 7*n**4 wrt n.\nAnswer: 26*k**3 + 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*i - 43, -4*s + 41 - 1 = 2*i. Find the first derivative of -21*w**3 - i + w**3 + 36*w**3 wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeddjjpjjdjdjj. Give prob of sequence ddd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 576 - 530. Suppose 0 = -10*a + h*a - 72. Solve 0*d - 4*m + 4 = -3*d, 4*d = -a*m + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -335 and -11705.\nAnswer: 3921175","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 106716553.\nAnswer: 0, 2, 106716553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 9 = -3*g - u, -2*g = -u - 1. Is g bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 35*k**2 - 5*k - 3. Let f be z(2). Is f*(0 - 1)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 3*l + 40. Let q be m(5). Suppose q = 2*p - 3500 - 1314. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10333.3 + 10358.3026. Let b = v - 25. What is b rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -3*g. Suppose -2*t + 7*t + 15 = g, 5*p - 3*t = 19. Suppose 3*a + 8 + 1 = 3*q, -9 = -q - p*a. Solve -q*b = 1 - 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) - 82\/10. Suppose 5*k + 0*k - 30 = 0. Let p(j) = 5*j**2 + 4*j**2 - 10 - k*j**3 - j**2 - 2*j + 7*j**3. Give p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (23 + 4 - 29).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from nxxmmxnnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 + 200*t**4 - 1076*t**3 + 1336*t**2 + 848*t - 1760.\nAnswer: 4*(t - 2)**3*(t + 1)*(t + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -61*r**3 + r - 2. Calculate z(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 47*s - 7 + 5 + 2.\nAnswer: 47*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -16, -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 3*f**2 + 4*f**2 - 366 + 19*f**2 + 366 + f - f - 2*f**2 + (2*f + 0*f - f)*(-1 + 1 + f).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = -4*j, -n - 2*n - 3 = j. Suppose 9*a - 693 = -n*a. Let u = -16 + a. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15232353 (base 7) in base 9?\nAnswer: -2654713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192253 is divided by 327.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-2 + 34))\/((-1)\/(-2)). Calculate the highest common divisor of 32 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1.03?\nAnswer: -4.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600)*-1 - sqrt(2600) - sqrt(2600) - (sqrt(2106) - (sqrt(2106)*1 + sqrt(2106)) - sqrt(2106)))\/(sqrt(8)\/(sqrt(8)\/sqrt(2)*-5)))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*u - 8 = -3*j, 3*j + 2*u - 8 = 0. Let c(y) = y**3 + y**2 - y + 18. Calculate the remainder when c(j) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5b1?\nAnswer: -5af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/25)\/((-17)\/85)*-20 + -17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.1, 9401, 1\/5, 3, -0.1 in decreasing order.\nAnswer: 9401, 3, 1\/5, 0.1, 0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2. List the prime factors of d(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19145 and 1975217?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7282*a + 50977. Calculate b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - a + 2 = 0, 4*g - 5*a - 21 - 7 = 0. Factor 785*w**2 + g*w - 5*w + 3*w**5 - 6*w**4 - 779*w**2.\nAnswer: 3*w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 5894*v + 17655. Give n(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, -0.3, 2, 3, 1\/12392?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302 - 3*x**4 + 304 - x**3 + 4*x**2 - x**3 + x to r + q*x**3 + m*x**2 + j*x**4 + c*x and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 - 221*d - 2041. Determine c(-9).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147.99999951 + -148. What is i rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 12) to base 15.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**4*o + 120502*c**3*o - 5*c*o + 4852*o wrt c?\nAnswer: 36*c**2*o + 723012*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f + 12. What is the third derivative of k**2 - 70*k**f + 13*k**2 - 66*k - 15*k**2 wrt k?\nAnswer: -8400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 214 = -18 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 33*f**2 - 430*f - 19. Determine r(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Let q(g) = g**2 - 5*g + 6. Let x be q(4). Is x > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64054133 less than -67?\nAnswer: 64054066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, 1\/6, -74?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and 2260.\nAnswer: -214700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13*4.1\nAnswer: -53.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xqlwu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -6350\nAnswer: 31750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 37 - 10*g - 2*g**2 - 2*g.\nAnswer: -2*g**2 - g + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1783692.221 - -23.\nAnswer: 1783715.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9128508 times 4\nAnswer: -36514032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8279259.26.\nAnswer: -8279254.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 513 = 4*q + 5*n, -4*q + 3*n + 2001 = 0. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 8*f**2 + 20*f + 1. Let m be o(10). Sort 41, m, 3.\nAnswer: m, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2950*h**3 - 6828*h**3 + 2983*h**3 + 2323*h**3.\nAnswer: 1428*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrurrrruur. Give prob of sequence rurr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - 15 = 0. Suppose -a*g + 3*j = -4, -4*j + 5 + 3 = 0. Solve -6 - 12*f**2 - 30*f**g + 2 + 22*f + 10*f**2 + 14*f**3 = 0 for f.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**3 + 53*z**3 + 6*z**3 - 2*z**2 + 20*z**3 + 27*z**3 + 14.\nAnswer: 90*z**3 - 2*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 28 - (-12 - 1)) + 1 + -5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3455, 11, 2\/17, -0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (399\/(-49) + -9)*1. Is c at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 21. Suppose -10*f = 3*f + 117. Let x be j(f). Let b be (2 - 1)*-1 - x. Solve 6*u - b*u = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*l - 18\/5 - 2\/5*l**2.\nAnswer: -2*(l - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 330\/(-132)*((-16)\/(-5))\/(-2). Suppose 5*q - 21 = s, -q - 766 = -h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 - 16 = -4*d, -2*u + 5*d = -34. Let k(c) = -c**2 + 10*c - 10. List the prime factors of k(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2576672, 5153345, 7730018, 10306691, 12883364?\n\"Answer: 2576673*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/7)\/o*o*o*o**(3\/5))**(10\/13))**(15\/4) assuming o is positive.\nAnswer: o**(1065\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*o + 21 - 21 + 2*o**2 as y + s*o**2 + t*o and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -978131, -1956260, -2934389, -3912518, -4890647, -5868776?\n\"Answer: -978129*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0671120565678 - -4580062.0671248565678. Let h = 4580013 - b. Let s = 49 + h. What is s rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 + 374. Let t = s - 212. Let g = t - -105. Do 16 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429736 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose 0 = -4*q + s + 110 - 1, -3*q + s + 81 = o. Calculate the greatest common divisor of q and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 11. Let b(g) = -2*g**2 + 13*g - 3. Let o be b(6). Let a be 40\/(-30)*(o + 0). Put a, -3, u in descending order.\nAnswer: u, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 104 = -12*s + 2*t, -2*s - 8 = -14*t for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2844358*v**2 + 3065987 with respect to v.\nAnswer: -5688716*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 22*x**3 + 210*x**2 - 450*x.\nAnswer: 2*x*(x - 15)**2*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5122*y + 5049*y + 4271 + 1423 for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267637 - 10*h**2 + 267636 + 267636 - 802909.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-37 + (-21 - -33) - 44)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 942*y - 85*y + 1014*y as g*y + l and give g.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -12246, 5, 2, -12 in increasing order.\nAnswer: -12246, -12, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17651 (b) -1 (c) 2\/7 (d) 1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 535*m**9\/504 + m**5\/30 + 103*m**4\/12 + 118*m**2 - m. Find the third derivative of t(j) wrt j.\nAnswer: 64200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9728 and 1368.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 29*t**2 - 742 - 81.\nAnswer: -42*t**2 - 823","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*(-304)\/(76\/(-4))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 1586 + 439 = 0. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 2*r - 100 + 0*r to l*r + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 72. Let t = 82 + g. Suppose -17 = 5*l + 4*i, -4*l + 3*i + 4 + 1 = 0. Which is the closest to l? (a) -1.3 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + -1 + sqrt(117) + 3 + 0 + -5*(sqrt(117) + 0))**2*-6.\nAnswer: -11230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Suppose -c + 2 = -z. Suppose g - 2*i = 10, 2*g - 38 = -c*i + 17. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 - 27*f - 13. Let h be k(-13). Solve h*s = 8*s - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 0 - (19 + -21 - -20 - -7)) + -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1601425 + 36198575 = 0. Round p to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltltttllll. Give prob of picking 1 l and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 2. Let x be w(2). Let f be 3\/12*2*x. Suppose -p - 4*v - f = -26, 2*v = 5*p - 37. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 1272*b**3 + 5025*b**2 + 6300*b.\nAnswer: 3*b*(b - 420)*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -97*u. Let k(n) = n**2. Calculate r(k(b)).\nAnswer: -97*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 + (-3 + 1 - -4) - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -22, 3, 7 in increasing order.\nAnswer: -22, -4, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36782099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 196888125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3659 divide 216034678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*v**3 - 9*l**2*v**2 + 21*l**2*v - 18*l**2 - l*v**3 - 33*l*v**2 - 896*v**3 + 2*v**2 wrt l?\nAnswer: 6*v**3 - 18*v**2 + 42*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -726, -1410, -2080, -2730, -3354?\n\"Answer: x**3 + x**2 - 694*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r + 7*r - 341. Solve 2*h + 1 - r = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - d**2 + 3*d - 4. Suppose 8*n = 4*n - 20. Let y be (2 - n\/(-4))*-4. Calculate the remainder when l(y) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, q: 1, i: 2, r: 1, j: 1}. What is prob of picking 1 q, 1 j, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2. Let g be p(1). What is the derivative of g*t - 3*t - 2 - 1 wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171799? (a) -0.1 (b) -28 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 6, 11 = -5*a + 4*a - 4*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) + (266 + 7)\/(-13). Let c(u) = u**3 + 24*u**2 + 21*u - 46. Let d be c(z). Solve d = x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -92, -49, 14, 103, 224, 383, 586?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22080000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1512503 - -4?\nAnswer: -1512455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*r - 16, 16*r + 23*r - 36*r - 9 - 7 = -t for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**10)\/(m\/m**14) assuming m is positive.\nAnswer: m**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z - 29. Let h be i(6). Let l = 2266 - 2268. Which is the closest to h? (a) l (b) -0.2 (c) -3\/4 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 - -2)\/(-3). Suppose -5*i + 16 + s = 4*v, -v = 4. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 11:04 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(5808))**2.\nAnswer: 264*sqrt(3) + 5817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (-36)\/(-3 - -7). Solve p - g = -5*f + 3*p, 3*p = -2*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 2. Suppose -5*s = 3*p - 53, -794 + 808 = 2*p - 2*s. What is the closest to p in k, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43033868?\nAnswer: 2, 17, 632851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.13717387 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -185.2, -5, 585?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1611 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -32249997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0 - 6) - -1. Let t be ((-4)\/5)\/(19\/20 + 99\/(-132)). Suppose 4*b - 10 = 2*b. Put k, b, t, -10 in descending order.\nAnswer: b, t, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - 13\/3. Let k be (-3)\/i + (-477)\/(-36). Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 2 + (-102 - -107).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 76*r - 2 = 75*r, 40 = -4*m + 12*r - 24*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 + f + 2. Suppose -2*v = -u + 4 + 4, u - 11 = v. Calculate the remainder when u is divided by b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101002321110 + -1?\nAnswer: -101002321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a minute in seconds?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/115 and -53\/5602.\nAnswer: 644230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -12 (c) -22 (d) 0 (e) 168 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2399 - -0.0399. Which is the smallest value? (a) 0 (b) -0.068 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-2)\/(-2)*1. Suppose 6*j = 4*a + v*j - 8, -3*a - 5*j + 38 = 0. Suppose -2 + a = 2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6724, 6683, 6594, 6439, 6200, 5859, 5398?\nAnswer: 4799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3646a (base 11) to base 14\nAnswer: 1519b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122 + -125?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeveeeee. Give prob of sequence ee.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -12, 0 = 2*c + 3*h + 3*h - 4*h. Let x = 7 - 1. Suppose 0 = 3*d, -t + c*d - 820 = -x*t. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 85, 146, 207, 268, 329?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21244 - 318614\/15. Factor -2\/15*a**3 + 8\/5 + 4\/3*a**2 + u*a.\nAnswer: -2*(a - 12)*(a + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4920 - 4926. What is the biggest value in 2, 141, w?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*j - 35*j - 309*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7403 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1113 + 4?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1\/6*a**2 - 164\/3*a - 13448\/3 = 0?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13402c - -4?\nAnswer: 134032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9907633 to the power of 1\/2, to the nearest integer?\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(5 - 2) + 23. Suppose 4*h = -4*n + 32, -2*n + 4*n - b = 2*h. Let y(i) = -i**3 + 4*i + 2. Calculate the remainder when y(-3) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-274 - 2*v + 140 + 140)*(-v + 2*v + v) as f*v**2 + p + x*v and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1027 + -372630?\nAnswer: -371603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -26*w**2. Let t(x) = -5 + 5 + 355798*x**2 - 355788*x**2. What is t(y(s))?\nAnswer: 6760*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + q)*(-1 + 3 - 1) + 97*q - 84*q - 397*q + (-2 + 1 + 3)*(-3*q + 0*q + q).\nAnswer: -390*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.8 or 31356270?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/27 + 25080\/2592 + (17 - 27)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*sqrt(396) + 2 + (sqrt(99) + 1 + -1 + 5 + sqrt(99)*2)**2.\nAnswer: 120*sqrt(11) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/360 + q**4\/48 - q**3\/18 + 10*q**2. Factor w(c).\nAnswer: -(c - 2)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - -14) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 8*s**2 + 3*s - 46. Let r be u(-10). Sort -5, r, 3.\nAnswer: r, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-15*(8 + -4). Let t = b - 31. Let f = -0.3 - -0.4. Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 99*c - 100*c - 1 + 9. Determine i(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 20*g - 6*g + 30 - 10*g. Let q be t(-8). Let y(k) = k**3 + 4*k**2 + 4*k + 2. Let m be y(-2). What is the nearest to m in -1, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49841*l**3*m**2 + 5*l**3*m*n**2 - 2029*l**3 + 7*l*m**2*n**3 + 4*l*n**3 + 2*l*n**2 + m*n**2 wrt m?\nAnswer: 99682*l**3 + 14*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Calculate the least common multiple of ((-10)\/j)\/((-2)\/4) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306636 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524057505 to the power of 1\/2, to the nearest integer?\nAnswer: 74324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.921328l to millilitres.\nAnswer: 6921.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -135, 2, -357?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1822 + 1818. Which is the smallest value? (a) z (b) -54 (c) -0.1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -14. What is the remainder when 21 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16144 - 16139 - 2*g**2 + 4*g**2 + 8*g. Give c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -819 + 819.3. Let t = 9.4 + -10.69. Let i = 1.2 + t. Which is the smallest value? (a) i (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 7 - (-49 - -70)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) -8 (c) 16623 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**35\/(i**2)**12 assuming i is positive.\nAnswer: i**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - l**2 - l. Let i = 231 + -188. Let p(c) = 16*c + 14*c + 9*c - i*c. Give p(u(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 1, v: 8, q: 2}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.36 (b) -4 (c) 1 (d) 0.0508 (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55\/16492 - 1\/2356. Let i = g + 202\/665. Which is smaller: -8\/5 or i?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71044 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) -3.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 61760\nAnswer: -308800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33357607 - 19*p - 33357607.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411031650.\nAnswer: 2, 5, 41, 1176113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276*j**5 + 6*j**4 + 24621*j**2 + 48260576*j wrt j.\nAnswer: 5520*j**3 + 72*j**2 + 49242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 5 (c) 1059 (d) -2\/5 (e) 0.5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -62\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27842590.\nAnswer: 2, 5, 2784259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*o**2 - 2*o**4 + 7 - 21*o**2 + 78*o**2 - 4*o - 17*o**2 wrt o?\nAnswer: -24*o**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(180) + -1) - (-3 + sqrt(180))*-2)**2 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -722, -968, -736, -20, 1186, 2888, 5092?\n\"Answer: c**3 + 233*c**2 - 952*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 2. Let n = -5 - -9. Suppose 11*c = n*c + 14. What is q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(o\/(o\/(o\/(o*o\/(o**2\/o)))))))\/o)**(2\/65)*o\/(o**(-2\/7)*o)*o**(1\/9) assuming o is positive.\nAnswer: o**(25\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -655*b + 658*b. Suppose i + 5*w = 38, -i - w = 2*w - 42. Let o = i + b. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 2*u**4 + 14*u**4 + u**4 + (4 - 7 + 4)*(3*u**4 - u**4 + 0*u**4) to the form x*u**3 + z*u + w*u**4 + s + t*u**2 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 17*z - 27. Determine y(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Suppose -q*l - 2*z - 2*z = -64, 2*l + 3*z = 68. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:53 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8875?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 + (-20)\/(-15). Suppose -c*m = -3*m + 9. Does 8 divide 6\/4*84\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7363, 29442, 66237, 117748, 183975?\n\"Answer: 7358*p**2 + 5*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*a + 25 = -a, -2*a = -2*n + 30. What is the remainder when 39 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 2\/13, -2\/5, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52734478?\nAnswer: 2, 863, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-259)\/74 - -12)*-2*(0 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*z + 63*z - 3 + 8*z**4 - z**2 - 122*z as s*z**3 + b + t*z + d*z**4 + x*z**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + 310. Calculate the highest common divisor of u and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 3*n**4\/8 + 41*n**3\/6 + 14*n**2. List the prime factors of p(8).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021198044 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3, 0.2, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9841 = -32*n - 3121. Suppose -252 = -6*i - n. Suppose 4*g = 5*g - 11. Calculate the least common multiple of g and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f*f*f\/(f\/f**4)*(f*((f**0\/f)\/f)\/f)**(-2\/139))**(-2\/9) assuming f is positive.\nAnswer: f**(-188\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1111*s**2 - 4548*s - 9. Determine d(-4).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5625015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 604 by -3.\nAnswer: -604\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let c(r) = -r**2 - 7*r - 5. Let u be c(-6). Let i(o) = 3*o**2 - o - 10. Let t(j) = u*i(j) + q(j). What is the derivative of t(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 27 = 9*f + 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/121 and 17\/11?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107687877.\nAnswer: 3, 11, 17, 19, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 26*j - 69. What is n(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5910)\/(-18) - 4*3\/36 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13419974621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 10. Let v be h(-6). Suppose 5*c = v*m + 110, -m - 92 = -4*c + 3*m. Calculate the least common multiple of 6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -1 - -1*10. Suppose -180 = -0*t - 2*t. What is the highest common factor of t and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 0*x + 21. Which is the second smallest value? (a) x (b) -0.4 (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -22. Let x(c) = -6*c**3 + 9*c**2 - 4*c + 3. Let l(k) = k**3 - k**2. Suppose -14 = -i - 15. Let t(b) = i*x(b) - 5*l(b). Give t(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12291*h**3 + 12268*h**3 - 24566*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2045 - 1093. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82.4*-0.5\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*30\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*p + 59, 2*o - 81 = 4*p + o. Let t be (-6)\/(-4)*p\/(-6). Let m = 11 - t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 7) in base 6?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1*-1)\/((-225)\/(-75))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 3*g**2 - 10 + 2*g**2 + 1535610*g**3 - 1535607*g**3 as j*g + l*g**2 + f*g**3 + r and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 13) to base 6\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21 - 11)*(-153)\/(-15). Suppose -7*p + 136 = -r. Calculate the remainder when 113 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11) + -19 + (13 + -22 + 0 - -35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321613 (base 7) in base 2?\nAnswer: -1000111000101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -253 + 560*j**2 - 187 - 561*j**2 - 441*j = 0.\nAnswer: -440, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17974 divided by 1.\nAnswer: 17974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.214 + -0.014. Let h be (-15)\/(-6) + 8 + 454\/(-44). Sort -0.2, h, -0.5, n.\nAnswer: -0.5, -0.2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*q = 131*q + 52 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 334494 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*o + 75, -o - 309 = -4*a - 4*o. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 1. Let o(m) = -m - 1. What is -g(s) + 2*o(s)?\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3422 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -12, 4, -0.5, 31206?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15474, -15041, -14320, -13311, -12014, -10429?\nAnswer: -8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -0.2 (c) 10\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/2) - -48. Let f = 1877 - 1922. Let j = f + v. Solve -b + j = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 8. Let y be 2\/10 + 292\/(-10). Let q be 1 + (0 - 1)*y. Suppose q = 5*s - 0*s. Let v(o) = -1. Give s*v(f) - b(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (10 - 2)) + 2 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 1220, 2641, 4612, 7133, 10204, 13825?\nAnswer: 17996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/36*3)\/(52\/2730*-259*-5)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -13. Let i = -8 + b. Solve 2 + i = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9990 and 105180?\nAnswer: 35024940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:51 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (6 + -9)) + (8 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10015, -10004, -9971, -9904, -9791?\nAnswer: -9620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -37b21c (base 13) to base 10\nAnswer: -1338336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132 (base 7) in base 9?\nAnswer: -1874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 + 4746*m**2 + 8*m + 5438. Determine s(-678).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/50*(-60)\/(-18). Let i = 1502\/407 - 2\/37. Which is the smallest value? (a) 5 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463618 (base 10) in base 8?\nAnswer: -1611402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5092442012 rounded to four dps?\nAnswer: -0.5092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 2) + -5 + (-24 - 3) + 0\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 2, g: 8, x: 2, m: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 159*m - 161*m - 4*x + 86, -4*m + 176 = 4*x. Solve -8*i - i = -m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.15179.\nAnswer: 0.84821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-14) + (-90)\/40.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a93 (base 11) to base 5.\nAnswer: 411131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k + 5. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (667\/1334 + 9\/2 + 0)\/(-1) + -64\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2250 + 2256. Let t = -9 - -13. Sort x, 1, t in ascending order.\nAnswer: 1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16748 or -231?\nAnswer: 16748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118? (a) -10 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 716*y**2 + 1592*y**2 + 2*y - 849*y**2)*(-3*y**2 - y**2 + y**2) to the form f*y + i*y**2 + r + u*y**4 + m*y**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-1178*d**2 + 2*d**3 - 6*d**5 + 2357*d**2 - 1181*d**2).\nAnswer: -6*d**5 + 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/120 - m**5\/40 - m**4\/8 - 2*m**3\/3 + 2. Let w(v) be the third derivative of p(v). Let l = 9 - 11. Give w(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -7, 2, -5, 29 in descending order.\nAnswer: 29, 5, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9569012 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 2*d - 2*d**2 + d - d**3 + 2*d + 2*d**4 in the form b + y*d**4 + k*d**2 + s*d**3 + z*d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/20)\/((-8)\/(-100))*41\/((-2665)\/(-260))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 - -15.84. Let v = 16.00011 - o. Round v to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243031454 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.847 - 30.66718. Let n = -1.18 + c. What is n rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let x be k(4). Suppose -x*q - 20 = -10*q. Solve -2*a = 4*c - 15 - 7, -q*a = 3*c - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 45 = -109. Let w(v) = -3*v**3 + 48*v**2 + 5*v - 11. Let o(q) = -q**3 + 16*q**2 + 2*q - 2. Let s(g) = 8*o(g) - 3*w(g). Is 33 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 797775469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-406)\/(-87))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 747\/242 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - sqrt(325))*1.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:15 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92781*u**2 + 897067*u.\nAnswer: -185562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 101, 81, 41, -19, -99, -199?\n\"Answer: -10*y**2 + 10*y + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 40760.1 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - -222. Suppose -s = -2*m - 0*u - u, -500 = -3*m - 4*u. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6010\/25 + -3 - (-2)\/(-5) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-14))\/(2\/(-21)). What is the biggest value in 0.02, s, -3\/5, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 4, z: 6, h: 2, w: 1, m: 3}. Give prob of picking 2 h and 1 z.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4558)\/(-3) + (-78)\/(-117)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 19282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 33.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {x: 1, b: 1, o: 2, f: 1, u: 5, g: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677033763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 85*b**2 + 170*b - 247. What is the remainder when 93 is divided by c(83)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*l - 21, 0 = -3*l - l + 4*d + 32. Calculate the remainder when (2\/4)\/((-33)\/(-2508)) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**10)\/(z**(-2\/13)\/z)*z\/(z\/z**(1\/12))*z\/z**(-2\/5))**(-4\/17) assuming z is positive.\nAnswer: z**(4963\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 258178*b**2 + 152045 wrt b?\nAnswer: 516356*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - -102.5. Let b = f - 103.000063. What is b rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {f: 2, g: 3, q: 1, z: 4, m: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14862545 is divided by 6387.\nAnswer: 6383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by -2.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 43. 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 (4*s**2 - 3*s**2 - 4*s**2)*(-1 + 10 + 1)*(s - 2*s + 3*s).\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 6. Let r be z(4). What is the remainder when r\/27 - (-482)\/18 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -713, -712, -711, -710, -709?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 174 = -6*c. Suppose -109 = -4*j + 227. Calculate the remainder when j is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*-1*2\/(-4)*-1. Let q be (-10)\/20*x\/(-1). Solve 3*l = -12, 3*y + 5*l + 17 = -q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 3912 = -28*f. Let a = f + -591. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*m**2 + 41*m**2 - 257*m**2.\nAnswer: -310*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*v**2 + 18*v + 8*v**6 + 226*v**3 - 18*v - 9*v**6 wrt v.\nAnswer: -120*v**3 + 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1865 divide 107880925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*w = -114*w + 414*w + 7398 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 2\/9, 2, -0.12, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 412 - -308. Suppose 0 = -m + b + 21980. What is m rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 339711 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 - 6*c + 3. Determine r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-2*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(204) + 3*sqrt(204)))\/(1*sqrt(108) - sqrt(12)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-9)*(w*w**(-4\/3)\/w)\/((w**5*w)\/w))**(-22) assuming w is positive.\nAnswer: w**(1606\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-660)\/(-160))\/((-3)\/4)*-2*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + -2005342?\nAnswer: -2005420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*p**3 - 71*k*p*u + 4*k + 2*p**3 - 2*u - 176 wrt p.\nAnswer: 3*k*p**2 - 71*k*u + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -819190?\nAnswer: 81918a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 5, -12\/347?\nAnswer: -12\/347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 1612?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 114*w**2 - 114*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-20)*(-1242)\/23*(-30)\/(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -0*u. Suppose -u*x + 18 = -3*s, -2*s - x = -4*x + 15. Let n(d) = -d**3. Does 9 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -603, -1500, -2699, -4200, -6003, -8108?\n\"Answer: -151*z**2 - 142*z + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2026\/3 - 97163\/144. Find the common denominator of 73\/96 and t.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - 420\/(-50). Let g(i) = -14*i + r*i + 179 + i. What is the tens digit of g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -89. Let g = -5 + w. Let a = -0.08 + 0.07. What is the biggest value in g, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19)*1 + sqrt(19)*1 + -3 + -2.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + 3*x + (3 - 2 + 0)*(-3 - 4 + 4)*(0*x + 3*x - 5*x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**3 - q**2 + 7*q - 3. Let a be w(-2). Suppose -434*i = -431*i - a. What is the highest common factor of i and 680?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 12*m)*(393 + 375 + 437 + 526).\nAnswer: 12117*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = v - 108, -4*v = -3*b + 100. Suppose 47*a - b*a = 460807. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 less than -5?\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = -p + 2, 3*z + 2*p = 27. Suppose 5*b - z*b + 6 = 0. Is 3\/2 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 1155, 2297, 4113, 6825, 10655, 15825?\nAnswer: 22557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 125. Suppose 4*k = -4*i + 232, k + 3*k = -i + 70. What is the remainder when i is divided by s(18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1803*s**3 - 2*s**2 - 7*s + 13. Let v be r(2). Let n = v + 30133. What is n rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -202. Let w = j - 117. Let x be 0 - (w\/16 + -3). What is the second smallest value in -3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -88*z + 40 - 15 - 246*z + 16. Is y(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -195*t**2\/2 + 1619. Let f(q) = -5*q**2. Calculate v(f(a)).\nAnswer: 975*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**7\/10080 + p**6\/2880 - p**4\/12 + 7*p. Let j(s) be the third derivative of q(s). Factor j(l).\nAnswer: l*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 22217 + 722217. Let v be (216\/20)\/((-3)\/r). Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 <= -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 483*j**4\/4 + 1814*j - 961. Differentiate d(b) with respect to b.\nAnswer: 1449*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2976 by 186.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.2, -1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61302 = 8*a - 4802. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73159 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 655\/8 + -82. Suppose -19 = 5*m - 4. Let s = 152 - 151.94. Which is the biggest value? (a) s (b) m (c) 0 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 58*o + 330. Give n(-63).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 667*h**2 - 3906*h - 220. Determine o(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:47 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 7*d - 16420 + 4*d.\nAnswer: -2*d - 16420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065 - 2065 + 227*i.\nAnswer: 227*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*j - 8. Suppose -2*r - j*g + 8 = 0, 5*r - g - 20 = -0*g. Let t = r - -10. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*c = 13, -7*y - c = -5*y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**4 - w**3 - w**2 + w - 1. Let l(t) = 3*t**4 + 4*t**3 + 6*t**2 - 4*t + 4. Let y(p) = l(p) + 4*v(p). What is the third derivative of y(r) wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/5 + 4*s**3\/5 - 4*s**2 - 1986. Factor b(q).\nAnswer: 4*q*(q - 2)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/3 - 1269*p + 1374812\/3 = 0. Calculate p.\nAnswer: 404, 3403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -3, -389, 8\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9064.584 + -9050. What is h rounded to 1 decimal place?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s**3 - 8*s**3 - 11*s**3 + (-5*s - 2*s**2 + 5*s)*(-2*s - s + 2*s) + (83 + 25 - 33)*(s**2 - s**2 + s**3).\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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: Suppose -41 = -4*p - 4*x + 143, -2*p + 107 = -3*x. Suppose 6*u - p + 31 = 0. Solve 0 = u*a - 6 - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2. Let b(c) = -10*c - 4. Let g(f) = 0*f + 103 + 0*f - 102 + f. Let h(m) = b(m) + 4*g(m). What is h(j(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -3\/7 (c) -19 (d) -38\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 46101045483516578 - 46101045483516575.\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826459 is divided by 2792.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*a**2 - 7 + 8 - 1 to o*a + h + d*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let a(v) = -35*v**2. Give a(d(n)).\nAnswer: -35*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = 2. Let m be ((-10)\/x)\/((-2)\/4). Let o = -5 + m. Solve o = 2*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 - 21 = 0. Solve g = -2*u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 7, i: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*m - 6*m = -31, -2*m = 4*t - 6. Suppose -43 + 39 = -t*s. Solve -4*j + s = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)\/((x**(-5)*x)\/x)*x**(-1\/9)*x**(-3\/7))\/((x*x**(-2)\/x*x*x*x\/(x*x\/x**(-6))*x)\/(x*x**4*x**(-1))) assuming x is positive.\nAnswer: x**(3581\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-6))\/(-5))\/(10*15\/(-120))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*p**2 - 1 - 133*p**2 + 1.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 w when four letters picked without replacement from jstjjkjjjewjjttsee?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:30 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/3))\/a)**(-19)\/(a**(-1))**(1\/9))\/((a**(-6\/11)*a**(-4\/3))\/(a**(2\/5)*a)**(-11\/3)) assuming a is positive.\nAnswer: a**(1579\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 21. Let m be t(-6). Let s = m + -21. Suppose 2*p + 110 = 4*y, s*y + 4*y - 75 = -5*p. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 7 = 2*t + 1, -2*v = -t + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 12 + b - 12 - 370*b**2 - 676*b**2.\nAnswer: -1046*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 25*x + 67. Is z(-21) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243250 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559992 is divided by 279996.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) -8.5 (c) -2.7599 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2589074670 rounded to the nearest 1000000?\nAnswer: -2589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1338*q - 149867. Determine o(-112).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 4 - 17*l + 10*l + 6*l to the form u + d*l and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0\/(-1*(-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l + 20. What is the units digit of (-14)\/6*15\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462*y**3 - 65*y wrt y?\nAnswer: -2772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 4*y + 21. Let z = 5 + 0. Calculate the lowest common multiple of 22 and k(z).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89699\/18 + -4991. Calculate the common denominator of -77\/192 and h.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-2 + (-1 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2118261960 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960204 > 1960228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 3\/7 (c) 3\/4 (d) 5\/3 (e) 17407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/55 - 72\/33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -63281 (base 9) to base 7\nAnswer: -232555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 minutes after 1:23 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/((g*(g*(g\/(g**6\/g))\/g)\/g*g)\/g)*g**(1\/2)\/g*(g*g**2)\/g)**(-43) assuming g is positive.\nAnswer: g**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 191.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78372?\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 23*k**3 + 0*k - k**3 + k**3 - k**3 + 0*k**3 + 2*k**3 - k**3 + k**2 - 2*k**3 - k**2 + (-3*k - 5*k + 6*k)*(0*k + 0*k + k**2).\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0785+-19.39\nAnswer: -19.3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 + s + 1. Let m be o(-2). What is the closest to 1 in m, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b2 + 1451?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12 = 18. Let v(t) = 5*t + 2 - t**3 + 2*t**q - 11*t + 5*t**2. Calculate v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438256 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-24) + 36\/48\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 1. Suppose -f + l - 45 = -0*f, -h*f = -4*l + 94. Let w = f + 74. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + (sqrt(121) - (sqrt(121) - 1*sqrt(121))))*4)\/(sqrt(55)\/(sqrt(5) - sqrt(20))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1186*o**4 - 1291.\nAnswer: -4744*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204773.6 rounded to the nearest one hundred thousand?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 428386677*j**2*l + 165*j*l - 4*j - 107724 wrt j?\nAnswer: 856773354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 20*u = 17*u + 9, 3*f + 4*u + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 2970.\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 17 - 21*q**2 + 44*q**2 - 26*q**2 - 2 - q - 2.\nAnswer: -9*q**2 - q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -11*f**4\/2 + 513. Let s(y) = -153*y**3. Calculate 27*b(n) - 4*s(n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -344, -112, 2, 4, -2, 6 in decreasing order.\nAnswer: 6, 4, 2, -2, -112, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:14 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 1. Calculate n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 10, 6*c + 24 = 3*g + 3*c. Suppose 2*q = 3*u - 8, 4*u + q = u + 5. What is the third derivative of 3*o**g + 29*o**4 - 4*o**u - 29*o**4 wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 3, 4, -1, 5 in descending order.\nAnswer: 5, 4, 3, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -27. Suppose 0*a = a + h. Let s(k) = -2*k + 2. Let u(f) = -f + 1. Determine a*u(m) + 3*s(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 368 = -2*b. Suppose -3*h - 3 = -2*a - b, -h - 4*a + 25 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5440 divided by -64.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -49*z**3 - 2*z**2 - 2*z - 1. Let x be 12\/(-6) + (-1 - -1). Let g be (x\/(-8))\/((-2)\/8). Let d be p(g). Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 4*v - 4. Let t be b(-3). Let p be t\/((-2)\/(-2))*13. Let i = p + 26. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 11961?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1603 + 1608. Which is the second smallest value? (a) 10 (b) 3 (c) -2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 12\/13, 23, -11, -3, 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11839365 by -171585.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173832911.\nAnswer: 7, 269, 92317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.7405*-0.11\nAnswer: 0.081455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 18 - 40)*(-11 + 3 + 2)*(2 - 2 + 1)*(4*a + 6*a + 2*a) to the form w + y*a and give y.\nAnswer: 3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, -0.1, -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**2 + 9*p + 153. Let j(t) = 3*t**2 + 5*t + 61. Let n(w) = -5*j(w) + 2*r(w). What is n(-14)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 3*d**2 - d**2)*(2 - 1 + 2) + (4*d - 4 + 4)*(4 - 4 + 15)*(0*d - d + 8*d).\nAnswer: 426*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3)*6)\/((sqrt(28) - sqrt(7))*1) + 4.\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(29\/(-15) - -2). Let t = -14 - r. Solve -p + t = -2*p, o = 5*p + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110191*l**3*x + 24*l**3 + 7*l**2*x - 157*l**2 + l*x + 2*l - 9 wrt x.\nAnswer: 110191*l**3 + 7*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g - g)*(-2 + 2 - g) + (-3*g**2 + 5*g**2 + g**2)*(2 + 0 - 1).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 x when three letters picked without replacement from {z: 2, l: 2, x: 1, p: 2, o: 1, n: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 4*k**2 + 13*k + 10. Let o(g) = -g**3 - 3*g**2 + 14*g + 11. Let w(f) = 3*o(f) - 4*x(f). What are the prime factors of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 + 7*z**2 - z - 1. Let a be j(-3). Let p(m) = m - 27. Let u be p(a). Which is bigger: u or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 7*r - 8. Let v be l(-2). Let t be 10*(-3)\/v - (-6)\/(-2). Solve -a = -0*a + 4*g + 20, 0 = -5*a - t*g - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 6:00 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k - 4. Let o be u(-5). Let t = 4 + o. Solve -3*i = -1 - t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634060.\nAnswer: 2, 5, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49568 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x. Let r(t) = 29*t**2. Give r(l(c)).\nAnswer: 725*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = -5*s + 11, -2*x = -3*s + 4. Suppose 15 + x = -g. Let f = 36 + g. What is the least common multiple of 2 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/66 and 41\/11610.\nAnswer: 127710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d - 56. Let j = d + 18. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c6 (base 14) to base 2\nAnswer: 10101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-93)\/(-9))\/(1\/(-3)). Which is smaller: o or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4008 = 4007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -5\/84*h**8 - 10*h**2 + 26\/3*h**4 - 8\/15*h**7 - 11\/10*h**6 + 38\/15*h**5 - 10 - 16*h**3 + 0*h. Let s(j) = 0. What is j?\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.14, 372, 5?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**6\/30 + 11*f**5\/10 - 11*f**4\/4 + 7*f - 12. Find the third derivative of z(r) wrt r.\nAnswer: 24*r + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1226099899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 minutes before 6:43 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 != 2.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kaaakkaaklck.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112320, -224641, -336962?\n\"Answer: -112321*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82510066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1*(7 - 23). Let l = a - -19. Let o = 64 - l. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/270 - -1\/27. Let h = -292 - -293. Are h and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c - 130 = 47. Let x(z) be the third derivative of -c*z**2 + 0 - 1\/12*z**4 + 0*z + 0*z**3. Let d(y) = y. Calculate d(x(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 460, 439, 412, 379, 340, 295?\n\"Answer: -3*r**2 - 12*r + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8821075 and 108721.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118864919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - 110. Suppose 3*g = 4*y + 43, -g + 10 + 2 = -y. Sort a, 1, y in descending order.\nAnswer: 1, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(729)*2 - sqrt(729)) + sqrt(9))\/(sqrt(108) + (sqrt(108)*-2 - sqrt(108) - sqrt(108)))*5)**2.\nAnswer: 571\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 263 = 1271. Suppose u = 5*q + 6. Solve -b - 4*b = -4*j - q, -19 = -4*b + 3*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - h = 577, -b - b = 5*h - 379. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 27896.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5 + (-340)\/(-70).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Suppose -5*b = -3*y - 2*b, y = 4*b - 6. Let p(l) = l**2 - 3*l**y - 3*l**2. Let v(c) = 6*f(c) + p(c). Let j(k) = k. Calculate j(v(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -31. Let l(s) = -7*s - 35. Let r be l(d). Suppose 5*h - 1452 + 187 = r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*t + 16 = 2*d, 82*t - 24 = -5*d + 85*t for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1368)\/(-266)*(-14)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16*-1 + 91\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose 9*l - 6*l + 12 = t. Let u = 35 - l. What is the greatest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 845\/35 - 1\/7. Let z be (-198)\/k + 1\/4. Let v = -4 - z. Solve v - 1 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*y - 1828 + 104 = 5620 for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*y**3 - 2732*y**2 + 1189982?\nAnswer: -138*y**2 - 5464*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (56\/(-42))\/((-2)\/12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.06 (b) -0.3 (c) 2\/237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by ((-16)\/(-9))\/(-8) + (-184)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-22))\/((-5)\/(-60)*-2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -1.693815?\nAnswer: -2.306185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/(4\/9). What is the first derivative of t + 1 - 9*n - 4 - 5 wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 3*o**2 - 3*o - 1. Let p be k(4). Suppose 5 + 1 = p*g. Find the third derivative of 2*x**g + 0*x**5 - 2*x**6 + 0*x**5 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74200, -74466, -74736, -75010, -75288?\n\"Answer: -2*n**2 - 260*n - 73938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15 - -5 - (-20 + -22). Let l(g) = -6*g**2 + 3 - g - 3 - 2 - g**3. Let c be l(-6). What is the greatest common factor of j and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 705 in -0.5, 0.34, -0.3?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 62*i = 200*i - 1296624. List the prime factors of i.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 965*d**2. Let p(y) = -2646*y + 1362*y - 3*y**2 + 1284*y. What is p(i(q))?\nAnswer: -2793675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5933888922.\nAnswer: 2, 3, 13, 79, 131, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1*2\/4). Suppose i*n = -21*n + 161. Sort n, -4, 4, -3 in decreasing order.\nAnswer: n, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2\/4). Let o = 1 + f. Which is bigger: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*n = -284*n + 5523. Let b(c) = 29*c + 1. Let j be b(9). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -135, -157, -199, -267, -367, -505?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 2*l**2 + 0*l**2)*(-467 - 166 - 3*l - 245).\nAnswer: -3*l**3 - 878*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(128) - sqrt(128))*2 + -2*sqrt(128)*3 - (2*sqrt(128)*-6 - (5 + -1*sqrt(128) + sqrt(128) - sqrt(128))))**2.\nAnswer: 400*sqrt(2) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/14 + (-40 - -32) + (-165)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 1368?\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d + 5*d**3 + 23*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*m*x**2 + 278078*m*x - 28177*m - x**2 - 1444 wrt x.\nAnswer: 28*m*x + 278078*m - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1)\/z)\/z*z)\/z)\/z*z**(-18)*z\/((z*z\/z**(-10))\/z)*z**(-2\/9) assuming z is positive.\nAnswer: z**(-290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 56069.877546895?\nAnswer: -56069.677546895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28735740 divided by -18930.\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21646 is divided by 668?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/72*6*(-12)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**5 + 31*j**2 - 17*j - 17. Let r(n) = 2*n**5 - 10*n**2 + 6*n + 6. Let z(c) = 6*o(c) + 17*r(c). Find the third derivative of z(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5626783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14269806 divided by 1585534?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5155164 (base 7) to base 10.\nAnswer: 618867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-13 - 7 - (73 - 45)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0224 minus 10908.60343528?\nAnswer: -10908.58103528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 23 (c) 0 (d) -26\/11 (e) 1\/3 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12*p + 42 = -10*p, 2 = 2*p. Solve -3*l = l + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3*h - 3*h)*(-193 + 193 - h)*(79*h**2 - 25*h**3 - 79*h**2).\nAnswer: -25*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 23*g**2 - 5*g - 16. Let t be a(-12). Is 30 a factor of t\/(-3)*(-1116)\/(-155)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 11\/3, -3, 24, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**3\/5 - 101346*m**2\/5 - 19569024*m\/5 = 0.\nAnswer: -192, 0, 33974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002488 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 14 + 19 - 23) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -753 + 758. Sort 1\/4, -1\/14, 1, a.\nAnswer: -1\/14, 1\/4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(-10 - 7 + 0)*(-4 + 4 + 6*m) in the form d*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from khhhhhhhc?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and -97\/36895956?\nAnswer: 73791912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19957*s - 19996*s + 429 = 0. What is the remainder when 2399 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*-2*20\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 45 - 30, 0 = -5*k - 2*b. Solve 4*a - 26 = -k*c, -52*a - 5 = 3*c - 57*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 24*t - 275. Give f(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592782424 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10330 divided by -10330.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158139 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = m - 12 - 25, -70 = -10*z. Let q(w) be the first derivative of -1\/9*w**3 - 4\/3*w - 15 - 5\/6*w**m. Suppose q(x) = 0. Calculate x.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77078303.53 to the nearest 10000.\nAnswer: -77080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 2*i - 29. Let k = i - 90. Suppose -a = k*a - 918. What is the remainder when a is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 405 + 3?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1660256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 46. Suppose 3*d - 12 = 0, -s*a - 4*d + 13 = -63. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 23*j - 24*j + 1, -5*y + 1 = -2*j. Let f(z) = 5*z**3 - 3*z**2 + z - 1. Determine f(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 4, 14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -197844470 and -2243.2.\nAnswer: -197846713.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240925411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 7600, 0.3, -0.1, 1, 0, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.8, -0.1, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450459981 smaller than 450459981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5709 + 5717. Solve 2*g - 4*l = 2 - y, g + 4*l = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3078*v - 83030. Give k(27).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 252*n**2 - 281*n + 5. Let f(k) = 126*k**2 - 110*k + 2. Determine -5*f(r) + 2*m(r).\nAnswer: -126*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*g - 118*g + 66*g + 240*g.\nAnswer: 547*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4 and 74\/9458001.\nAnswer: 37832004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 + 1 - 22*p**3 + 8 - 9.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -21. Let h(n) = 7*n**2 + 14*n + 2. Let p(x) = -10*x**2 - 21*x - 3. Let v(b) = 7*h(b) + 5*p(b). List the prime factors of v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2 - 1))*1. Solve -a + 0 - 8 = -3*m, x = m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 79*a**2 - 109*a - 8. Let x be k(-6). What is x rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0 + 2\/9*c**3 + 1\/18*c**4 + c + 1\/3*c**2. Factor y(b).\nAnswer: 2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-50)*-2 + 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 50 = -5*c - 2*t, -31 = -3*c - t. Suppose 20 = m + v, v = -m + 2*v + c. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -91?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7163 by 6840.\nAnswer: 377\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 18*v - 28. Let g be b(16). Sort 3, -7, g.\nAnswer: -7, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 4, -1\/5, 0.2, 33?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-6)*927\/(-6).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*v - 41. Let z(y) = -17*y**2 + 614*y - 66. Let t be z(36). Sort v, -4, t.\nAnswer: v, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 22*x - 485. Let m be v(22). Which is smaller: m or -12\/169?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose -h = -6*h - m - 3, 2*h + b*m = -9. Let g = 72 - 68. Solve h = -r - g*r + d - 22, 5*d = 4*r + 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.0063. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61046174041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68972 - 68952. Let k = -3 + 39. What is the remainder when k is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t**4 - 2*t - 1411 - 1544 + 20*t**3 + 2952 in the form z*t**4 + o*t**3 + s*t + g + f*t**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 210*b + 5613. Does 14 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 58*m**2 + 5. Let o(k) = 29*k**2 + 3. Let n(s) = -5*o(s) + 2*y(s). What is the first derivative of n(q) wrt q?\nAnswer: -58*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7506 - 2436. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2435 and 473851.\nAnswer: 2369255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fieienkfnkfffken.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 5. Let m(w) = -3*w - 1. Determine -4*a(c) - 4*m(c).\nAnswer: -8*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935801?\nAnswer: 3, 7, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 121. Let y be c(-17). Solve -4*n - 2 = -2*x + 3*x, -5*n - 1 = y*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -15. Let p = 0 + h. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -26, -33, -40, -47, -54?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 14 = -0. Solve 0 = -5*m + 3*s - 21, -g*s = -m + s - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/36 - 2*s**3\/9 - s**2\/2 + s - 1. Factor d(f).\nAnswer: -(f + 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69572, -278232, -625984, -1112834, -1738788, -2503852, -3408032?\nAnswer: -4451334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 730684117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*g = -1503, 5*g - 905 - 1092 = -4*x. Let p = 537 - x. Do 33 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -8 - -17 - (-28 + -3 + 4)) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51835 divided by 10367?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.52 times -0.35\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 4 + (-9 - 1)*(1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 7. Let c be a(-4). Calculate the remainder when 42 is divided by 46*c\/5 - (-27)\/(-135).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431493246 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34545898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 507*j**2 + 97*j**2 + 192*j**2 - 91*j**2 in the form s*j + z + x*j**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1182048)\/(-147) + 16\/(-112). What is u rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjtdwdjdwzqww. What is prob of picking 1 d and 1 w?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -158*m**2 - 8230*m + 154. Calculate w(-52).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394638 = -10354*u - 29876 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.292, 1\/5, -3\/5, 1\/3 in increasing order.\nAnswer: -3\/5, -0.292, 1\/5, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48957, -195878, -440747, -783564?\nAnswer: -1224329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/3280*(-11 - -6)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9332 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 262*c + 4162. Let q be k(-15). What is the highest common factor of 2146 and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/((y\/y**(4\/7))\/y)*(y\/y**(-5\/4))\/(y*y**16\/y))**49 assuming y is positive.\nAnswer: y**(-1211\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 - -173. Suppose c = -5*h - 3*n + 722, -2*h + 158 = -h + 4*n. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/6*8\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-10) - (8\/(-5) - -2). Solve 3*y - 5*z = -17, -w*z + 0*z = -2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d3 (base 15) in base 13?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.112 - -0.012. What is the fourth smallest value in -0.3, -0.06, w, -2\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1142*u - 1146*u + 32 = -t + 6, 0 = 8*u + 3*t - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let q(x) = -7*x - 4*x + 0*x. Determine z(q(k)).\nAnswer: -121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 2*a + 8. Let k be r(-2). Suppose -3*t = 4*p - 10 - 19, 5*t + 13 = p. Let h = p + -5. Solve k*z = -h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**3*m**3 + 50*a**3*m - 14*a*m**3 + a*m**2 - 7*a*m wrt m?\nAnswer: -66*a**3 - 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10146 - 10142. Factor -3\/4*z**5 + 0*z - 9\/4*z**3 + 9\/4*z**r + 3\/4*z**2 + 0.\nAnswer: -3*z**2*(z - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(4 - 3 - 2)*(-19 + 33 + 68)*(3*m**3 - 3*m**3 + 2*m**3) - 2*m**3 + 6*m**3 - 2*m**3 to w*m**2 + q + u*m**3 + n*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 7)*(-y**4 + 3*y**4 - y**4) + (-2*y**3 - 5*y**3 - y + 6*y**3)*(0*y - 6*y + 4*y) to the form w + b*y**3 + f*y**4 + c*y + q*y**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 71243.6 and 4866.5?\nAnswer: 66377.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 20. Let x be 1\/i - 1*(-18)\/10. What is the third derivative of -58*o**4 + 127*o**4 - 15*o**x - 61*o**4 wrt o?\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**4 + 90*v**3 + 345*v**2 - 440*v = 0.\nAnswer: -11, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95901?\nAnswer: 3, 13, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 452275 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r**3 - 91*r**2 + 12*r + 23. What is d(7)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.161 - -41350604877\nAnswer: 41350604877.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, 3, 4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 894715445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 20. Let n(o) = 29*o**2 - 2*o - 4. Let a be n(3). Suppose a = 5*z - 149. Calculate the highest common factor of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 5*h - 5. Let j(g) = 7*g + 7. Let t(i) = 15*i + 15. Let u(b) = -13*j(b) + 6*t(b). What is 2*r(f) - 10*u(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27973*j**3*z - 170*j**3 + 3*j**2 + 4 wrt z.\nAnswer: 27973*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7353.8 + -7354. Let a be ((-2)\/6)\/((-2)\/(-3)). Sort n, 3\/34, a in increasing order.\nAnswer: a, n, 3\/34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106947845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500989386?\nAnswer: 2, 7, 61, 2928559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3099454 by -2.\nAnswer: -1549727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 0.1, -156, 1\/3, 0?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 401*q + 4*q**3 - 17*q**3 - 399*q + 2 + (-2 - 3 + 3 + 2 - 1 + 0 + (1 + 2 - 1)*(-1 - 2 + 1) + 0 + 2 - 4 + 0 + 1 + 0)*(-7 + 7 - 13*q**3).\nAnswer: 65*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/23 + 16*l**3\/23 + 18*l**2\/23 - 36*l\/23.\nAnswer: 2*l*(l - 1)*(l + 3)*(l + 6)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 13. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-8))\/((-2)\/8). Let u = b - 3. Suppose u*q = 5*q. Let o(p) = -p**3 + p**2 - 5. Give o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.81 + -45.81. What is the fourth biggest value in 3, 0.07, k, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 72 = -3*m. Let h(t) = t**3 - 10*t**2 + 9*t + 5. Let l be h(m). Solve -q + 4*q = 2*f + 9, f + 15 = l*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 2*u + 1. Let b(a) = -a**2 + 6*a - 6. Let h be b(4). Let v(s) = s**2 + s + 1. Let d(l) = h*v(l) + t(l). Differentiate d(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 9*q + 192. Let s = q + -77. Calculate the remainder when s is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 9. Suppose -2*f - 3*f + 5 = m. Let y(x) = 2*x. Determine y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -i + 45, -2*i + 3*i = 5*p. What is the greatest common divisor of i and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 708838, 1417686, 2126546, 2835424, 3544326, 4253258, 4962226, 5671236?\n\"Answer: s**3 + 708841*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Suppose -2*t = 4*a - 0*t - 74, l = -4*a + t + 65. Solve -5*b + b = 3*v - a, -3*v + 15 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s. Let r(y) = y - 3. Let p(l) = 4*l - 3*l + 2*l - 1 - 4*l. Let c be ((-4)\/6 - (-21)\/18)*6. Let m(a) = c*p(a) - r(a). What is x(m(k))?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/2))**(11\/3))**(5\/3) assuming h is positive.\nAnswer: h**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42702661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*k + 59 = -813*k + 3*x, 0 = 4*x - 5*x + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -1. Let p = k - -0.6. Put 4, p, -3 in descending order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44890276 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -28*t - 91. Determine z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by -192?\nAnswer: -67\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 362*k**2*m**3*x - k**2*m**3 + 26*k**2*m**2*x - 1049*k + 19*m**3 wrt x.\nAnswer: 362*k**2*m**3 + 26*k**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**5 + 436*w**4 - 1602*w**3 - 104376*w**2 + 141496*w + 140160 = 0 for w.\nAnswer: -73, -16, -2\/3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0518 + -0.0418. Let i = 22 + -19. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1027, 4514, 10385, 18634, 29255, 42242?\n\"Answer: -s**3 + 1198*s**2 - 100*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 15. Let h = 12 - f. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -964*r**4 - 669*r**2.\nAnswer: -23136*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/58*(-7453)\/514?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1*5)\/sqrt(6))**2 - (sqrt(19) + (sqrt(190) - (sqrt(190) - (sqrt(190) + sqrt(190)*-1)))\/sqrt(10) + 3).\nAnswer: -sqrt(19) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 65*p - 487117 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 3255*o**2 - 46011*o + 161553 = 0.\nAnswer: -1099, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 4*o - 2. Let u be x(-5). Suppose 0 = -33*r - 59 - 28 - 45. Let w(c) = 5*c**2 + 6*c - 6. Let k(f) = 6*f**2 + 7*f - 7. Give r*w(y) + u*k(y).\nAnswer: -2*y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*q - 10 - 49, -100 = 5*q + 5*x. Let f = -16 - q. Suppose -f*d + 5*d - 14 = 0. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c + 54a?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -32. Suppose -2*s = 0, -5*i = -d*i + 4*s + 9. Let m(b) = -60*b - 3. What are the prime factors of m(i)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buuupyybpywuuuwwpdu. Give prob of sequence wu.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150923 - 744.\nAnswer: -151667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*w - 97*w + 369*w + 17976 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**5 - 2*h**4 + 977006*h**3 - 3*h**2 + 17783*h - 3.\nAnswer: -120*h**2 - 48*h + 5862036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ffyrygyfgfwf?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2634\/(-42) - (-6)\/(-21). Let l be (1 + -2)\/(-7) - 54\/r. Does 6 divide (l\/(-2))\/(30\/(-1320))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i + 40 - 850. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11538?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.05 - -0.05. Let y = -5.1 + 9.1. Let o be -9*(-8)\/12 - 28\/6. Which is the nearest to s? (a) y (b) -6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*s**3 - 19*s + 11*s + 9*s - 5 + 4 to the form d*s**3 + v*s + f*s**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101101111 + 110?\nAnswer: 101000101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.026 (c) 11\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 + 3*g + 1. Give d(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 176*n**2 - n - 3. Calculate the remainder when i(-1) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2434.\nAnswer: 12170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 25*x**3\/6 - 26*x**2 + x. Let y = -11544 - -11551. List the prime factors of n(y).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16245293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 2*v**2 - 2. Let t = -1 - 1. Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**3 - 9*p**2 + 107*p. Let d(w) = -7*w + 21. Let m(h) = -4*d(h) - 5*l(h). What is m(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 39, -1\/6, 1, -0.211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-6)\/4))\/(104\/156). Solve 5*d = -h + 4, 2*d = -d - 4*h - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p**2 + 1. Suppose 2*t + 5 = -3*t. Let z be d(t). Let f = z + -11. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, 6, 73, -5, -27, 3 in decreasing order.\nAnswer: 73, 14, 6, 4, 3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7363 + -7061. What is the remainder when r is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 4. Let y(d) = 2*d - 1. Calculate the remainder when y(l) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2 - 4)*(-1309)\/(-33). Let u = 1\/13291 + 28442731\/119619. Let o = u + t. Put 4\/5, 1, o in descending order.\nAnswer: 1, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434436.2 milligrams in nanograms?\nAnswer: 434436200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -109003 times -4\nAnswer: 436012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 62 - 51 - 22)*(0*t**2 - 3*t**2 + 0*t**2) to g + i*t + v*t**2 and give v.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/45*(-1 + -29). Suppose -k = -2*z - 2*z. Suppose -2*l + 3*m + 19 = -5, z*m + 65 = 5*l. What is the greatest common factor of 120 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 18.91. Let f = h + -1.81. Which is bigger: f or -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 57\/7. Let o = 3 - 1. Let y be (1 + o\/(-2))\/1. Is t > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -269091, -269092, -269093, -269094, -269095, -269096?\n\"Answer: -b - 269090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.573889136 and 172.\nAnswer: 173.573889136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13618*d - 272376. What is j(20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from zqzzzzizdiad?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*g - 2*g = 13, -3*o = 3*g - 6. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 26. Let o be m(-12). Let x be (-48260)\/66 + (-3 - o\/6). Let c = x + 4379\/6. What is the common denominator of -11\/52 and c?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/501 and -65\/18?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 4*x + x + (-3*x + 28*x + 17*x)*(-2 + 1 - 1).\nAnswer: -86*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1554662*g. Let o(s) = -2*s**2. Calculate y(o(x)).\nAnswer: -3109324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:39 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 106688.42?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-54)*(-1 + -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -425*f. Let p(o) = -o**2 + 291*o - 54. What is p(l(t))?\nAnswer: -180625*t**2 - 123675*t - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1369)\/((-3)\/6*2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*l + 80 = -631 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/2 - 885*t**2 - 73773*t\/2 + 757485 = 0. Calculate t.\nAnswer: -543, -62, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 627 - (-2 + -6). Let o = d + 79. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -30, -44 in descending order.\nAnswer: -9, -30, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 + 4*m + 13. Let d be w(7). Let q = d - 214. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5*y**4\/4 + 2*y**3 - 11*y + 4. Let o(r) = 6*r**3 + 6*r**2 - 12. Let x(j) = 4*k(j) - 3*o(j). Solve x(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*q*r**2 - 3*o*r + 4*q*r**2 + 30*q - 4*r**2 wrt r?\nAnswer: 2*o*q + 8*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 8.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21746 divided by 1956?\nAnswer: -10873\/978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -354*r + 8261. Calculate the remainder when d(20) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 - 5*f**3 + 4*f**3)*(2039*f - 3617*f - 3182*f + 1635*f - 2804*f) in the form w*f**3 + d*f**2 + t*f + p + y*f**4 and give y.\nAnswer: 5929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 times -15?\nAnswer: -10680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -10. Solve 5*b + 4*c = z, 5*b + 8*c = 3*c + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 197, 412, 649, 920, 1237, 1612, 2057, 2584?\n\"Answer: 2*j**3 - j**2 + 204*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6 + 2. Suppose -2*i = -6*i. Let z(a) = i*a**p + 12*a - 3*a**2 - 9*a. Calculate z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2029*a**2 - 850 - 8427*a**2 + 850 in the form t*a + c*a**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6498 and 15846?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6352143 - -151?\nAnswer: -6351662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 1, i: 7}. What is prob of sequence bi?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2, 0.8, -0.066?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -3*s + 180. Solve 6*c = 4*c - s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3854 is divided by 902.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4 - 4)*(-9081 + 9081 + 65*b) - 32*b**2 - 19*b**2 - 27*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmxnmx. What is prob of sequence xm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) 2\/125 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbplbjwbpwbwpplpp. Give prob of sequence bjlw.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - c + 19754 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*x - 23 = 0, 3*x - 11 = -d - 4. Solve -4*o + d*k - 16 = 8*k, -20 = -5*o + 3*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + 4) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.027 + -0.173. Let l = -6 + 6.5. What is the closest to 1 in f, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232 - -13?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5396.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1.5. Suppose 5*o = 2*a - 35, a + 10 = -3*o - 0*a. Let x = -0.79 + -0.21. What is the closest to 1\/4 in x, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4065 + 2853. Let m = 2723 + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 9*g**2 + 8*g**2 + (-4*g + 6*g + 0*g)*(6*g + 0*g - 4*g) - 4*g**2 + 3*g**2 + 0*g**2 + 0*g + 2*g**2 + 0*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -507, 0.815?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5153, 20308, 45043, 78926, 121525, 172408?\nAnswer: 231143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8016522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 - 293. Solve -2*y + h = 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8540 and 2407060.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 24 + 2. What is the least common multiple of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973861 a multiple of 569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -39*(-2 - (-296)\/(-12)). Let r be (c\/(-12))\/(3\/(-45)). What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*n - 16, 0 = 2*t + 3*n + 50 - 70. Let i(f) = f**2 + 4*f + 2. Let s be i(-6). Sort 0.2, t, s in descending order.\nAnswer: s, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 53 - (-42 + 50)) + 2 + 7?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.2 + -44. Let o = s + 0.7. Let m be (4\/2 - 0)\/(-5). What is the biggest value in -3, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 50 = 4*y - 2*y - 3*m + 13, 1066 = -2*y - 360*m for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52*-0.3\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + f**2 + 3*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:39 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -879*a**2 - 4*a - 4. Let y(s) = -1752*s**2 - 9*s - 9. Give -13*h(r) + 6*y(r).\nAnswer: 915*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*x + 4)*(-4 + 4 + 3*x + (2*x + 4 - 4)*(3 - 4 + 0) + 0*x - x + 4*x) to the form o*x**2 + n*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x. Let c(a) = -727*a**2 + 3*a + 30364. Determine i(c(o)).\nAnswer: -3635*o**2 + 15*o + 151820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + 1. Let v be b(1). Suppose 4*f + v = 3*f. Let c = 30 + -61\/2. Is f at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:06 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 237, 1493, 4891, 11499, 22385, 38617?\n\"Answer: 178*v**3 + 3*v**2 + v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(8 - 2 - 3)*(-6 + 3 + 1 + (1 + 0 - 3)*(2 - 2 + 1) + 3 - 2 - 3 - 5 + 3 + 3 - 3 - 1 + 2)*(-3 - 5*v + 3).\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -5 - -6) + -3 + 8. Differentiate t + 286 - 8*b - 163 + 4*b**2 - b**2 wrt b.\nAnswer: 6*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 2, g: 1, a: 2, p: 2, n: 2}. What is prob of picking 1 g and 2 p?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**3*s**3 - 12*r**3*s**2 - 5*r*s**2 + 15*s**3 wrt s.\nAnswer: 36*r**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 50\/((-3)\/(-3)). Let l be (84\/r)\/(4\/(-14)). Suppose -w - l = -7. Put 5, -2, w in ascending order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z**2 + 2*z - 9. Determine v(-4).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 4\/3*j**3 - 13\/2*j**2 + 3*j + 33. Factor x(v).\nAnswer: (v - 3)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (sqrt(7) + (sqrt(84) + sqrt(84)*1)\/sqrt(12))**2)*4.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 0.2, 249, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -7, 1, -34, -0.1 in descending order.\nAnswer: 71, 1, -0.1, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/49666 and -37\/11763.\nAnswer: 446994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25772 and 13284.\nAnswer: 85588812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 1)*(3 - 4 - 6) - 2 + 2 + 1)*(8 - 8 - 10*u) + 0*u + 3*u + 0*u in the form l*u + s and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25 + 2 - 6244*p + 6255*p. Let b be t(3). Calculate the highest common factor of 720 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-11)\/44*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60329*i**4 - 3*i**2 + 16*i - 518?\nAnswer: 1447896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ffrffrrfffr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (-22 + 7 - -15 - -16 - 11).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*s + 5 = 0, 9 = 5*m - 3*s + 2*s. Let q = m - 6. Find the common denominator of 1690\/825 + q\/22 and -131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -1026, -1539?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1217?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 3. Let v(r) = 36*r - 6. Give v(y(a)).\nAnswer: -72*a + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-10)*(-10)\/4. What is the units digit of (-1 + -2)\/((-6)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 161*a + 199. Let k be c(13). Suppose 0 = -4*s + 4*b + 1824, 8*s + k = 13*s - b. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - 11021212?\nAnswer: -11021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 510, 959, 1552, 2283, 3146?\nAnswer: 4135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67582724 to the power of 1\/2, to the nearest integer?\nAnswer: 8221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 33*n**2 + 1620*n + 114. Calculate q(-49).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5724? (a) -1\/5 (b) -1 (c) -1.4 (d) 4 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1081 + -1078. Factor -1\/6*o**i + 1\/6 + 1\/6*o - 1\/6*o**2.\nAnswer: -(o - 1)*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5343*j + 5282*j + 2562 = 0 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n + 36 = 36*n - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2969, 2970, 2971?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -379*y + 12351 - 4392. Calculate the highest common factor of y and 9149.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 443833.96 to the nearest 100.\nAnswer: 443800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -936 divided by -4.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 3, -0.3, -232\/27, 0.1?\nAnswer: -232\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.59 less than -93?\nAnswer: 182.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from zzzzzzqqzzzzzzqqqzq?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 5*x + 16, -l + 117 = -26*x + 40 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11032 + 10?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -458310282.37999803 - -458310285. Let r = q + -2.62. Round r to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1193405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*f = 25, 4*a - 16 = -2*f - 2. Find the first derivative of 9 + a + 6 - 4 + 83*m wrt m.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15076 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -132 - -9 - (4 + 3 + 18 + -10)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173285.\nAnswer: 3, 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16885 and 614?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9193 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4 + 332*c**3 + 976*c**2 - 422912*c + 1655808 = 0.\nAnswer: -33, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 5) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/553 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) 5 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 436*r + 144*r + 120*r + 140*r with respect to r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228631027*c**3*g**3 - 3*c**3*g**2 + 4*c**3*g - 7*c*g**2 + 4*c*g + 970*c - g wrt g.\nAnswer: 1371786162*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273 + 273. Let m(r) be the second derivative of 1\/10*r**5 + 0*r**3 - 3*r**2 + f*r**4 + 0 - 7*r. What is the derivative of m(k) wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/24 and -37\/411.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d - 32210. Let f = d + 3242. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*u**4 - 42*u**4 - 287*u**4)*(3 - 2 + 1).\nAnswer: -496*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.44 + 3. Let f = -0.04 + -0.2. Let g = f - a. Round g to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27086668, 27086669, 27086670?\nAnswer: 27086671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188699 is divided by 953.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+16232\nAnswer: 16232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21467 + -12826. What are the prime factors of x?\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g + 695. Let u be q(44). Calculate the greatest common divisor of u and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -110*i**2 + 45*i - 155. Let w(k) = 5*k**2 - 2*k + 7. Let y(x) = 2*u(x) + 45*w(x). What is the derivative of y(r) wrt r?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777017635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -451380*p - 20. Let k be c(-29). What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17739, -33952, -48643, -61812?\nAnswer: -73459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**2 - 3*b + 18. Let f(h) = 38*h**2 + 13*h - 78. Let l(r) = -3*f(r) - 13*g(r). Let j(d) = 1382*d. Determine l(j(p)).\nAnswer: 5729772*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*p - 24*p + 252. Suppose 1 + 1 = i. What is the closest to -1 in p, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7853638*i**6 + 10313*i**2 + 29*i wrt i?\nAnswer: 942436560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by -2872305.\nAnswer: -119\/2872305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 43.0028. Round f to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1229997, 1229990, 1229985, 1229982, 1229981?\nAnswer: 1229982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197*d*g**2*o**2 + 158*d*g*q - 57*g**2*q + 2*g*o**2 + 2*g*q - 2*o**2 + 9 wrt d.\nAnswer: 197*g**2*o**2 + 158*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = -2*r - 5*b, 0 = 3*r - 3*b - 15. Suppose -5*d - 2*u - 8 = 0, 7 = -r*u - 1. What is the first derivative of d*p + 16 - 6*p + 8 - 9 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9578823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - 27*p - 2*p**3 - 17*p**2 + 8*p**2 - 22*p + 10*p**2 + 51*p as j*p**3 + z + s*p**2 + i*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 214*k**2 + 427*k - 6. Give x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598 = 42*a - 7*a + 11*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 51*n**2 - 15*n + 37. Let p(r) = 26*r**2 - 9*r + 21. What is -3*l(o) + 5*p(o)?\nAnswer: -23*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 137 = 85*l + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 91?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-81)\/4)\/3)\/(6\/(-32)). Suppose -26 = 2*g - i. Suppose 8*a = g - 5. Solve -2*m + a*m = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117558 is divided by 291.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14*14*(-13)\/(-858)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-6) - (-1 - -3). Suppose -h + w*z + 40 = 0, 2*h - 3*z + 16 = 3*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**6\/90 - 14*y**3\/3 + 19. Let z(i) be the third derivative of x(i). Let u(p) = -6*p**2. Determine u(z(r)).\nAnswer: -96*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/5, -0.11, -1\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/350 and 7\/25?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = -5*u. Suppose 2*x = 2, -u*v - 5*x = -0 - 5. Let b = 140\/3 - 46. Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -8. Suppose 28 = 4*h, 32*q - 29*q + 0*h - 33 = 3*h. Solve q = 3*d + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Suppose 52*y - 48*y - 32 = 0. Suppose -3*h + 5*i + 22 = -6*h, -3*h + i + y = 0. Let b(p) = 5*p - 3. Calculate h*b(q) - 2*v(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1705.5621 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983849371?\nAnswer: 7, 29, 31, 315247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (9 - 13 - -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 7*w + 3. Let r(u) = u**3 - 11*u**2 + u - 16. Let s be r(11). Determine o(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -33, -22, -19, -30, -61, -118?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*k - 871922 = 59*k. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 885 = -4*t, 0 = -5*h - 5*t + 1480. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 250209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/5)*x)\/(x**2*x))\/(x**(-1\/16)\/x*x*x**(-6)*x*x) assuming x is positive.\nAnswer: x**(117\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 8\/7, 0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 193.1. Is r greater than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 12 = 0, 4*f - 3*q - 363 = 327. Solve f = -57*y + 99*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10001669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 1. Let j be n(1). Suppose l + 3 = s, -6 = 3*s + s + j*l. Suppose s = -5*f - c + 92, -6*f = -f + 2*c - 89. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 496, 473, 238, -209, -868, -1739?\n\"Answer: -106*m**2 + 295*m + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(3\/5)*f*f)\/(f*f**(1\/29)\/f))\/(f**(-8)*((((f\/f**(-20))\/f)\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-788\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -323\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 - 32*p**4 + 68*p**3 - 40*p**2 = 0. Calculate p.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 50*k**2 - 311*k - 418. What is a(-43)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066320016 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - 3) + 2 + 5 + 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16001746 - -0.5.\nAnswer: 16001746.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 6*c + 3 - 4*c + 2*c - c**3 + 0. What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 213 = 11*o. Which is the second smallest value? (a) -0.1 (b) -1.721 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + -2 + 2 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/9 + 626*b**3\/9 - 145045*b**2\/9 + 4896476*b\/3 - 60636100 = 0.\nAnswer: 103, 174, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -189.\nAnswer: -10\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 11\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**4 + 0*q**4 + 3*q**4)*(4 - 3 - 6)*(749 + 538 - 136) to the form g*q + l*q**3 + x*q**4 + i*q**2 + a and give x.\nAnswer: -5755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:05 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -18*-4*(-1)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 33 = -3*v - 4*v. Calculate the least common multiple of 480 and v.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34001 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*l + 3*i, 2*l + 16*i = 12*i + 6. Is 255 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(12\/(432\/(-9)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/30 - c**4\/2 - 3*c**3 + 8*c**2. Let s(w) = 0. Calculate w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.099 (b) 21 (c) 2\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {b: 1, u: 1, e: 1, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 69 = 43. Suppose -5*k + 3*m = -v, -17 + 49 = 5*k - 2*m. Suppose -3*u - u = k. Is u greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*l + 423*l + 469*l - 2238*l + 462*l + 460*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406757 divided by -5.\nAnswer: -406757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 2. Let b(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/3 - y**2\/2 - 28*y. Give b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2801744 and 107\/176.\nAnswer: 2801744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 60 = 3*u. Let m = u + -4. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h - 72 = -85*h. Let x be (-8)\/(-24)*h\/4. Which is the second biggest value? (a) 4\/5 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - 390c164?\nAnswer: -390c156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - x + 12. Let p be k(3). Solve p = 5*b + 2*m - 25, 0*b + 5*m - 28 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*0.3\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/16)\/(2\/16). Let j = c - 7. Let u = -5 + j. Solve 4*i + 2*l + 5 = -9, u = -4*i - 5*l - 23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48563.47 grams?\nAnswer: 48563470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23495067.4 take away 0.229?\nAnswer: 23495067.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 86 = -5*z, -3*z - s - 28 = 18. Is -13 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6111 and 13774.\nAnswer: 867762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180)\/sqrt(900)*-3)\/(sqrt(490)*2*6 + (sqrt(490) - -1*sqrt(490))*3).\nAnswer: sqrt(2)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h - 108. Give b(-18).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05484434 and -71.\nAnswer: -70.94515566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 8*u + 417. Let j = u - -125. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 136, -5.\nAnswer: -5, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48667 and 3649?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21732, 20936, 20150, 19380, 18632, 17912, 17226, 16580?\n\"Answer: n**3 - n**2 - 800*n + 22532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/132)\/(-25)*((5 - 14) + 0).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/7 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - ((1 - -7) + -12 + 10)) + -10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 + 4*j + 8. Let x be p(5). Solve 0 = -o - x*y + 4, -y = -5*o - 6 - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92476.\nAnswer: 2, 61, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1476651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 10. What are the prime factors of z(3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26b + 21?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*o - 78738 = -59*o + 651*o for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -1 (c) -4 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3697*c**3 + 5508*c**3 + 13941*c**3.\nAnswer: 15752*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 567 and 15.\nAnswer: 8505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -895*b**2. Suppose -8*v + 20 = -3*v + 2*a, 2*a = v + 8. Let c(p) = -2*p + 3*p + v*p - 5*p. Calculate c(l(g)).\nAnswer: 1790*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -172\/25141 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*k + j, 4*j - 139 = -5*k + 1. 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 r(w) = w**3 + 8*w**2 + w + 7. Let h be r(-8). Let c = 0.6 + -1. Let m = 5.4 + c. What is the second smallest value in h, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82142?\nAnswer: 2, 67, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6508224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from nnifvxn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 23 = -1. Suppose -4*i - 3 = -5*i. Put i, 1, w in descending order.\nAnswer: w, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322.7 + -786.7. Which is bigger: a or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, k: 2, z: 1, d: 4}. What is prob of picking 4 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -1. Suppose 205*b + 604*b + 691 = -3354. Put b, q, 7, -4 in descending order.\nAnswer: 7, q, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 53 = 3*x, -11*x + 76 = -6*x - 4*i. Suppose -4047 = -x*p + 3569. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*m + 6*m + 27*m + 333, 13 = 4*a - 3*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42220780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90326775.\nAnswer: 3, 5, 7, 11, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*(sqrt(684) + -4 + sqrt(684) + 1)*1 + -3)*-1.\nAnswer: -4 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/6 + 2*t**3\/3 + 2*t**2\/3 + 5. Factor n(s).\nAnswer: 2*s*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 4. Let l be q(-4). Suppose -4*d + 0*d + l = 0. Suppose -10 = 5*w + 4*v - d*v, -v = -5*w + 5. Do -7 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d - 2, 2*p = -2*d. Put 22, p, -5 in descending order.\nAnswer: 22, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 30. Suppose 58 = -2*z + 182. Let o = z + m. What is the remainder when o is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:21 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 10 + 66 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260840790 divided by 414033.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*w + 20 = 21, 10 = 2*w. Calculate the highest common factor of k and 448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**4 + o**3*y - 1663*o**2 - 2*y - 38131 wrt o.\nAnswer: 4*o**3 + 3*o**2*y - 3326*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 * -0.13.\nAnswer: -13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o - 50. Let r = 38 + -45. Is 4 a factor of b(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7 + 9*f - 15*f**2 + 36*f**2 - 20*f**2. What is v(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 6. Let t(f) = -3*f + 7. Determine 3*i(n) - 2*t(n).\nAnswer: -3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 16. Suppose 3651 = v + 2*v + 5*p, 0 = c*v + 3*p - 6085. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d1 - 1b?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + 81 + -81.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.46 - 0.06. Let d = 1.7 + 8.8. Let c = d - 11. What is the second biggest value in s, 2, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21120336, -21120339, -21120342, -21120345, -21120348?\nAnswer: -21120351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 775425 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - 319096.08.\nAnswer: -319165.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.0955904 to one decimal place.\nAnswer: 42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkkk when four letters picked without replacement from {d: 3, k: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:12 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2 and -173\/118710.\nAnswer: 118710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 + 2. Let y(v) = -5*v**3 + 4*v**2 + 9. Let q(z) = 9*m(z) - 2*y(z). Find the third derivative of q(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*h + 336, -2*s + 843 = h + 156. Calculate the remainder when s is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41135448*d**5 + 3499*d**2 - 2917 wrt d.\nAnswer: -2468126880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -441*y + 3438. What is the tens digit of f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38628739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5585752 litres to millilitres.\nAnswer: 558.5752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718391284 to the power of 1\/3, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/(31922\/(-3990) + 8)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8056689 to the power of 1\/2, to the nearest integer?\nAnswer: 2838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + y + 101, 2*t - 7*t + 171 = -3*y. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400149709*m**2 - 6*m + 28914229 wrt m.\nAnswer: 800299418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72476*f = -71057*f + 148995 for f.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 12*c - 104. Let x be d(18). Solve -b + 0*b = x*r + 17, -4*r - 22 = 2*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 125300293*d**2\/3 - 142007014*d\/3 - 33413416\/3 = 0. What is d?\nAnswer: -4\/5, -1\/3, 8353354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = c - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 208*i**2 + 6*i + 3. What are the prime factors of g(-1)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 4. Let k(d) be the third derivative of -d**3\/6 + d**2. Let c(p) = -5*k(p) - m(p). What is the derivative of c(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w**4\/2 + 141*w**3\/2 + 145*w**2 - 258*w + 36 = 0 for w.\nAnswer: -6, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673272305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/14*3\/((-72)\/8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*j + 752, -2*w + j + 376 = -0*w. Suppose 5*u = -4*o + w, -2*o - 46 = 4*u - 140. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) - (-4)\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38290565, 76581128, 114871691?\n\"Answer: 38290563*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2374 + -2386. Put -5, 0.2, u, -3\/4 in ascending order.\nAnswer: u, -5, -3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/7 - 34*h\/7 + 12 = 0. Calculate h.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l, 5*l - 27 = a - 5*a. Suppose a*x - 19 = 119. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4797249\/74 + 64829. Let x = 94831\/12 - 7910. Find the common denominator of i and x.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13807045 by 305.\nAnswer: -45269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 4) to base 9\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.952 * 21\nAnswer: 61.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -8 (b) 2 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 552, -4, -1\/3?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*6\/4)\/(279\/7998). Solve -46*f + t*f = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -5.8. Let g = 0.03319 + -0.03319. Which is the closest to g? (a) -0.2 (b) f (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:01 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, -2, -5, 30 in decreasing order.\nAnswer: 30, -2, -5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -177, -153, -109, -39, 63?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27380 is divided by 1834?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = d - 114, -273*d + 278*d - 5*q = 585. Let r(u) = -13*u. Let b be r(4). Let a = d + b. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/8)\/(1\/2). Suppose -2*g = -5*g + l. What is the second derivative of 3*t**5 - t + 2*t - g*t**5 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498027.\nAnswer: 71, 211, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158.3 - -156.3. Let s be 8\/(-30) + 1\/(-3). Let d = 3.19 - 0.19. Sort d, s, -5, x.\nAnswer: -5, x, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -1, -2\/5, -0.2507 in ascending order.\nAnswer: -3, -1, -2\/5, -0.2507, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24. Suppose -2*a + 4*a = 10. Suppose 0 = -a*b + b. Is c at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105146 (base 10) in base 12?\nAnswer: 50a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 9*f - 10. Determine l(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -12. Let q = -1 - 2. Let w be 1\/3 + q\/(-18). What is the nearest to 0.1 in h, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141296 is divided by 104?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4949129, 4949105, 4949081, 4949057?\n\"Answer: -24*z + 4949153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (0 + -12)*2*(-2)\/6 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -2 - 5. Let a(h) = 4*h**2 + 6*h + 5. Let c be a(z). Put -2, c, 1, -1 in descending order.\nAnswer: c, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 14*w + 19*w + 120739, 40237 = r - 4*w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3652\/81241 + -18\/593. Let h = m + 119\/1233. Let t = 72 - 72. What is the second smallest value in 0.4, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 3*z**4 + 2*z**4)*(6*z - 5*z + 0*z - 5*z + 5*z + 2*z + 7*z + 0 + 0 + (3*z + 0 + 0)*(-1 - 2 + 2)).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6733 + 33663\/5. Sort -1, k, 1.53, 0.6 in decreasing order.\nAnswer: 1.53, 0.6, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29459095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 982873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v + 2. Let b(i) = -17*i + 4. Let y(l) = 5*a(l) - 3*b(l). What is the units digit of y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 27 + 0*t + 3*t + 13 + 13.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 14. Let j(n) = 2*n + 28. Let u(m) = 6*j(m) - 11*q(m). Let c(t) = -7. Let v(b) = -5*c(b) - 2*u(b). Let f(r) = -r + 4. What is 11*f(h) - 6*v(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893730674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685957857.\nAnswer: 3, 13, 787, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3376 - -8058. What are the prime factors of a?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-five quarters of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1074 and 43\/12.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267061 - -1339826\/5. Let j = -910 + p. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**1\/a*a))**(2\/47)*a\/(a\/(a\/a**(-2\/15)))*(a\/a**(-3\/5))\/a)**(-28) assuming a is positive.\nAnswer: a**(-728\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15096 and 1632.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6788*z + 8751 - 90207 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 21 + 12. Let o(x) = -x**2 + 20*x - 46. Calculate the least common multiple of o(17) and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.470983ug to grams.\nAnswer: 0.000000470983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let y = -4 + 4. Let o(q) = -1 - q**2 - 3*q - q**3 + y*q**2 - 3*q**2. Determine o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 + 13*m + 1. Let c(s) = s**2 - 1. Let d(v) = a(v) + 3*c(v). Let q be d(-7). Solve 0 = -g - g + q*k - 14, 5*g = -k - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o + 7*o - 2 - 5*o in the form v*o + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3090)\/(-2884))\/(6\/(-14)). Which is the closest to 0.2? (a) -8\/79 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.968.\nAnswer: 0.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55, 69, 99, 151, 231, 345?\n\"Answer: b**3 + 2*b**2 + b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.9 and 289631.\nAnswer: 289629.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1284)\/(-116) - 6 - 2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012002 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17248425 + 1?\nAnswer: -17248424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.39 + 66. Let k = 0.61 - q. Let m = -0.06 + -0.14. Which is the second smallest value? (a) -2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000137 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*h + 3299. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x + 2*x + (2 + 0 - 4)*(0 - x + 0) - 2*x - 3*x + 4*x + (0 - 6 + 3)*(x - 3*x + x) - 5 + 5 - x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351 + 7*p - 2346 - 2361 + 9414 - 2358.\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12688*c - 12675*c + 286 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 19*r - 51. Let b be t(24). What is the highest common divisor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(-2 - 2 + 2)*(-23 + 10 - 5)*(3 - 15 - 8).\nAnswer: 720*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - x - 490 = 0, 0 = -3*u - x + 453 + 29. Let y be (0 + 3)\/(5\/30). Let q = y + 0. Calculate the greatest common divisor of u and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/2044 + 67393\/96068. Find the common denominator of w and 83\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -4993*y**6\/30 + 695*y**3\/6 - 3*y**2 - 3285*y. Find the second derivative of z(i) wrt i.\nAnswer: -59916*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214 - 420 + 206 + 154*t**2 - 835*t wrt t?\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbzbzbbzzbbzbbbzbbb. Give prob of picking 1 z and 3 b.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 33*t**3 - 12*t**2 - 3*t + 8. Determine x(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13)**(3\/4)*(p**(3\/4))**(24\/7) assuming p is positive.\nAnswer: p**(345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -332. Which is the smallest value? (a) -39 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 0.1, -1\/5, -22, -2, 0.5 in decreasing order.\nAnswer: 104, 0.5, 0.1, -1\/5, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*n + 140191 - 125197 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4903 + -4884. Suppose 4*z = 3*p - 46, -2*p = 3*p + 5*z - 65. Solve -p*r + f*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61280*y**5 - 13762*y?\nAnswer: 1225600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*a**5 - a**4 + 45*a**2 - 45517*a.\nAnswer: -1380*a**3 - 12*a**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 168 = -2*p + 105, -2*o = -p - 42. What is the highest common factor of 273 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13630 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let d(a) be the first derivative of 2016*a**3 + 6093. Calculate d(n(f)).\nAnswer: 6048*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**6\/5 + 5*w**2\/2 - w. Differentiate g(j) with respect to j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a = -82*a - 3*r - 49, -4*a + 148 = 4*r. Solve -27*x + a*x - 3*z = -22, -x = 4*z + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -97 + -107b?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mzbzbbemebmez?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -27*l + 14*l - 22 - 15*l + l**2 - 1. What is the remainder when 69 is divided by k(30)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 6*j. Let w(m) = 2*m**2 - 5*m. Let v(r) = -6*w(r) + 5*z(r). Let g(d) = -47*d. What is v(g(l))?\nAnswer: -4418*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 156*o + 4. Let r be 2 + 1*(-1 + 1). Let v be j(r). Suppose -u - 8 = -5*u, -u = -3*t + v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 687*m + 24297. Give y(-38).\nAnswer: -1809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10320 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(17) + -1*sqrt(1088))**2)*5.\nAnswer: 20835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-288)*4\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 411983931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 + 9*f - 6. Let d = -6 - -10. Calculate the least common multiple of x(d) and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) + -1 + -1 + 5*(2*sqrt(405))**2 + (sqrt(405) - (sqrt(405) + (2 + sqrt(405))**2 + 0)) + sqrt(405).\nAnswer: -18*sqrt(5) + 7692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-27))\/(160\/(-72))*-6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 192089*i - 7491467. Give j(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*v**2 - 7\/6*v + 5\/3.\nAnswer: (v - 5)*(v - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -405 - 7595?\nAnswer: -799a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/13, -0.4, 0.03, 14, -2\/29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e (base 16) to base 7.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose -f*b - 2 - 8 = 0. Let p(d) = -3*d - 3 - d + 0*d. Determine p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8540 - -144237. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 3*x**2 - x. Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8661089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9014?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = -5*r, z = -2*r - 0*r + 7. Let n = r + -1. What is the highest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 18630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402961 and 59891.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5229837 - -172609967\/33. Suppose 2*z + z + 774 = c, -5*z - 1546 = -2*c. Let l = c - s. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -81, -3, -1, 5, -32.\nAnswer: -81, -32, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i*v + 200089*i + 30*v + 9677 wrt i.\nAnswer: -9*v + 200089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Let z = -0.4101 - 0.5899. Which is the nearest to z? (a) 4 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 6. Let c be s(-6). Suppose 4*u - 5*v + c = 1, 0 = -2*u - 5*v + 23. Suppose -3*j + 13 = 3*x + j, x + 1 = -u*j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 8*f\/5 + 7\/5.\nAnswer: (f + 1)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.79 + -11.18. Let v = q - 0.61. What is the nearest to -1 in v, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 57. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 593963034*g - 409428033 wrt g.\nAnswer: 593963034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - t**2 - 33 + t**2 - 2*t**2 + 4*t**2 + (0*t + 2*t - 4*t)*(5*t - 2*t - t))*(6 + 0 - 3) + 27*t**2 - t**2 + 6*t**2.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -33454021 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -183177*-5\nAnswer: 915885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:07 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -37. Let r(m) be the first derivative of 0*m**3 + 1\/2*m**u + 0*m**2 + 2 + 2*m. What is the derivative of r(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*w + 3*w + 35, o = 4*w + 5. Suppose 0 = h + 5*y - 46, -2*h + 12 = -y - 25. Let t = -18 + h. Solve 0 = -t*f - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 9*o - 27*o - 187*o - 8*o.\nAnswer: -235*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33389 divided by -392\nAnswer: -33389\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21434269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 291692.\nAnswer: -875076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 16. Suppose 2*k - k = -d*i + 93, 5*i = 2*k + 113. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k + 18. Suppose -3*r + z + 48 - 11 = 0, r + 3*z = k. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gllllcflygljljffl. What is prob of picking 1 j, 1 y, 1 g, and 1 c?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1349*d**3 + 1192*d**2?\nAnswer: 8094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17897?\nAnswer: 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442172 (base 12) in base 5?\nAnswer: -3301211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100110001110000 (base 2) to base 5.\nAnswer: -121422444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.008.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/3 (b) 2 (c) -0.1 (d) -7\/6 (e) -2828 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487 - 487. Suppose -r + 4*g - 4 = -2, 2*r - 3*g = 1. Suppose -y - r = -1. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/40*4)\/((-36)\/(-30)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 535219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309757\/18 + 17216. What is the common denominator of d and -85\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*((q*q*q**14)\/q)\/q)\/q*q**25*q)\/(q**(1\/8)*q)**(-1\/11) assuming q is positive.\nAnswer: q**(3617\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*j = 60 + 38, -4*q + 100 = 5*j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572786 to the power of 1\/2, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 3. Let s be 0\/(20\/(-11 - -21)) - (-2 + 4). Let y(u) = -5*u + 2*u + 2*u. Determine s*y(d) + n(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16629*c = -16640*c - 33 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010100010 - -1?\nAnswer: 1001010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**4 - 33*f**3 - 12*f**2 - 2*f - 2. Let j(l) = -14*l**4 + 33*l**3 + 11*l**2 + 3*l + 3. Let c(m) = 2*j(m) + 3*x(m). Find a such that c(a) = 0.\nAnswer: -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -469605588 divided by -354687\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14755789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let c = z - 2. Is 1\/3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/27 (b) 2 (c) 9 (d) -9 (e) 3 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(136)*-2 + sqrt(136))\/sqrt(8) - (sqrt(17) + -1*sqrt(17)*1)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a + 17. Determine m(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275641585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25443 - 1?\nAnswer: 25442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1389\/4 + 5558*n**2 - 11113\/4*n - 4*n**3.\nAnswer: -(n - 1389)*(4*n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose a + 6 = s*a. Suppose -5*n - 61 = -2*r, -2*r = 5*n - 5 - 6. Calculate the highest common divisor of a and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3 + (3 - 5 + 0)*(-2 + 2 - 2) - 4 + 0 - 5)*(-2 - 4 + 5)*(y + 2*y + 0*y) to w*y + u and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 3bd0c0?\nAnswer: -3bd0c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.549919 micrograms to nanograms.\nAnswer: 549.919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 18.5. Let h = -1034 + 1058. Let q = h - a. Is q at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 79117.83 centimeters?\nAnswer: 791.1783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82)\/(-287))\/(1*-1*-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 125988.\nAnswer: 125988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.013 + -2.013. Put 4, 5, m, 3 in increasing order.\nAnswer: m, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 - 5*g**2 + 3*g + 3. Let x(m) = 1093*m**3 - 4*m**2 + 0*m**2 + 7 - 5 + 2*m - 1089*m**3. Determine 3*x(p) - 2*y(p).\nAnswer: 4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, 1 w, and 1 b when four letters picked without replacement from {x: 2, w: 1, b: 2, h: 3, l: 3, t: 3}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**4\/12 - 5*s**3\/6 + 3*s**2\/2 + s + 53. Give m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173 and 2996533?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/6 + 2*z. Let u be ((-20)\/(-16))\/(3\/(-12)). Determine g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/((-16)\/80). Let z(p) = 52*p**2 - p. Let c be z(i). Suppose -c = -2*x - 0*x + h, -99 = -x - h. What are the prime factors of x?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/10)\/(-1)*-5. Suppose -5*j - 3 - 12 = 0. Let w = k + j. Which is the second smallest value? (a) -0.3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.24932 * 3\nAnswer: -6.74796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*r - 37355, 0*r = -4*y + 5*r + 29857. Suppose 5*b = 4237 + y. Suppose -3*w + b = 4*a, 0*a + 1746 = 3*a - w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -281, -548, -931, -1436?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-4))\/((-9)\/(-24)). Let s be ((-3)\/12)\/(d\/(-16)). Sort -1, s, -2\/13.\nAnswer: -1, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -928451 and -928451 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -4\/3 (b) -1\/9 (c) 1\/3 (d) 0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1389 divided by -2581\nAnswer: -1389\/2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.05996 times -605\nAnswer: 36.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 179533534 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:02 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_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 b(o) = o**3 + 7*o**2 - 8*o + 4. Let l be b(-8). Let f(x) = -2*x + l*x - 1 + 0*x. Let d(j) = j. Calculate 3*d(v) - 2*f(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 9, q: 1, d: 2}. What is prob of sequence dd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (6 + -2) - (3 - 2). Suppose -j - l = -128. Let i = 0 - -32. What is the remainder when j is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99700838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4*w + 3. Suppose -2*a + 3*a = -2. Let z be c(a). Let t be 5*(-2 + 5) + z. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -800*n**5 + n**3*u**3 - 696*n**2*u**3 - 4*n*u**3 wrt n.\nAnswer: -48000*n**2 + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/9 + 40863992*w**3\/9 - 69577757045332*w**2\/3 + 417466419680024*w\/9 - 208733189408018\/9 = 0.\nAnswer: 1, 10215997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = 80*w - 1179 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4, -107*w + 2*n + 43 = -102*w. Calculate the least common multiple of w and 395.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*1\/((21\/2)\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1 + -1)*(15 - -34). What are the prime factors of 24\/(-9)*(o + -1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 24 = -11*r. Let f(t) = 7*t**3 - 2*t**2 + 2*t + 3. Let v be f(-2). Let i be (r\/10)\/(13\/v). What is the second biggest value in -1, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3705\/1170)\/(3\/(-30))*2\/15*9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10)\/j)\/(j*j**(-3)*j))\/((j\/j**(2\/13))\/j*j**(-4)) assuming j is positive.\nAnswer: j**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5708074 and 16?\nAnswer: 45664592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -898\/11 + 13771\/154. Find the common denominator of 1\/(-15)*402\/(-8) and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {u: 2, f: 4, a: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000366256 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8107914 and 1230?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.407 - -0.007. Suppose -2*y + 8 = -3*k, -6*y = -0*k + 3*k + 24. Which is the nearest to y? (a) 2\/13 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1))\/y**3)\/(y**(1\/4)*y*y**(4\/5)\/y*y*y))\/((y*y\/(y\/((y**(-1\/3)\/y)\/y))*y*y**(-3))\/(y**(2\/7))**(-3\/23)) assuming y is positive.\nAnswer: y**(-7283\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-1 - -5) + (-2914)\/682).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-9)*(-12)\/16. Factor 1\/3*y**5 + 0 + 0*y**2 - z*y**4 + 0*y + 0*y**3.\nAnswer: y**4*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 - 49 = 36*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -861, -878, -913, -972, -1061?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/12 + 2\/12. Determine q so that -q**2 + 0*q**4 - 2*q**2 + 3*q**c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-7) + (3 - 4). Suppose 0 = -2*x + h + 36, 43 = 5*x - 2*h - 47. Let r = x + -19. Is t >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-3))\/(6\/(-9)). Let y be t\/(-4) + (-350)\/(-20). Suppose 5*g - y = -2. Sort 4, -4, g in ascending order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41094 and 465732.\nAnswer: 1397196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 + 285. Which is the second biggest value? (a) 4\/5 (b) 4 (c) f (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655871513?\nAnswer: 11, 59624683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c - 2 = 0. Sort c, -4, -3 in ascending order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 0.36 (b) 0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 17. Let u be t(-11). Suppose -3*d + 0*d + 5427 = 2*s, -4*s + 10909 = -u*d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 93*n**2 + 2*n - 253. Calculate m(31).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 + -224 + (-6 - 1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-39) + 2\/(-52)*4. Does 8 divide u\/2 + 20115\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 51*z**3 + z**2 - 2*z + 2. Let t be f(1). Suppose -11*q + 3 = -t. Solve -q*j + j = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) -13 (b) -3\/8 (c) 2 (d) -83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 16*a**7\/7 - 17*a**4\/6 + a**3\/3 - 44*a. Find the third derivative of k(w) wrt w.\nAnswer: 5760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11992100 and 400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 10*o - 82. Suppose 0 = -5*x + 4*j + o, 3*x - 3*j - 7 = x. Solve 4*a - 18 = -x*f, 5*a + 10 = 5*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 31*w**2 + 66*w + 54. Let q be v(33). Suppose -12*i = -21*i - q. Let k(j) = 3*j - 1. Let d(h) = -8*h + 3. Calculate i*d(p) - 17*k(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 11, -0.117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 105 = -8*b. Suppose b*i - 22*i + 4 = 0. What is the second derivative of x**i - 5*x**4 - 8*x**4 - 3*x**4 + 12*x wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - -16.7. Let r = -18.9945 + c. Round r to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 46\/24591?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 96114, -0.249, -0.5?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**3 - 10*x - 1 - 14*x - 3*x - 13*x**2 + 25*x in the form l + k*x**3 + u*x + s*x**2 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 4021100.\nAnswer: 44232100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 + 777 = 17*v. Suppose l + v = 2*o, 4*l - 228 = -5*o + 6*l. What is the greatest common divisor of 66 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*((sqrt(60) - (sqrt(60) - -3*(sqrt(60) - -3*sqrt(60))))\/(-4*sqrt(192) - sqrt(192)))**2*3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36579a (base 14) in base 10?\nAnswer: 1859196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15878977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5 + 4*j - 6 - 8 + 1. What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4249546 and 23\/126?\nAnswer: 38245914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110100100?\nAnswer: -110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 675*m**2*q + 1276*m**2 with respect to q.\nAnswer: 675*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**2 - 900*h + 720. Give d(83).\nAnswer: 1799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*o - 243 + 248, -4*o = 2*n - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224962038 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and 1407.147.\nAnswer: 1421.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*(1 + 1). Let s be ((-40)\/30)\/((-8)\/18). Is r greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871669453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 21, -4, 32\/5, 18, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/13 - 66*n**2\/13 + 720*n\/13 - 2592\/13 = 0.\nAnswer: 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255\/77 - -38\/11. Let i(j) = -2*j**3 - 7*j**2 + 15*j + 10. Let f be i(-7). Let g = 247 - f. Is g <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/120 + o**5\/60 - 2*o**4\/3 - 11*o**3\/6 + 99*o**2. What is the remainder when 292 is divided by q(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 4*v - 39 + 6*v - 10*v.\nAnswer: -v - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840441 is divided by 154?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48418 and -2745.5.\nAnswer: 45672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-10) - 2119\/(-65) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1268150351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51812681 is divided by 6849?\nAnswer: 6845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 13.2. What is the nearest to -1 in 0, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4718, 0.2, 1\/7, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 2411195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20716 + -20715. Sort 3, -5, -16, i.\nAnswer: -16, -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - i**2 - 2*i + 4. Let j be k(1). Put -1, 3, j in decreasing order.\nAnswer: j, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310021201 (base 5) in base 8?\nAnswer: -14162707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8873 is divided by 2952?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 291 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145395 times -0.1?\nAnswer: -14539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 419?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6)*-2))\/(sqrt(36)\/sqrt(300) + sqrt(3)) - ((-2 + sqrt(98))*-1 - (-1 + sqrt(98) + sqrt(98) + -3)**2).\nAnswer: -1265*sqrt(2)\/12 + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7))**2 + 2 - 4*2*sqrt(5).\nAnswer: -8*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 6*y**2 + 3*y**2 + (y + 3*y - 5*y)*(-3*y - 5*y + 0*y) to the form l*y**2 + m + k*y and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.831, -0.1, 0.5, 1\/62 in decreasing order.\nAnswer: 0.831, 0.5, 1\/62, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/120 - t**5\/10 - t**4\/3 + 5*t**3\/3 - 3*t**2. Let i be k(7). Calculate the greatest common factor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11005509*v**3 - 10*v**2 - 6*v + 906170.\nAnswer: 66033054*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -2)\/((-2)\/4). Suppose 0 = h - x + 6. Find the second derivative of 7*a**4 + 5*a**4 - 21*a - 2*a**h + 5*a wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 4613*o**2 + 5317635*o + 5322249.\nAnswer: (o - 2307)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.256 - 40.256. Which is the closest to -1\/5? (a) 2\/3 (b) u (c) -6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4489*f*z**2 - 2675*z**2 + 2 wrt f.\nAnswer: -4489*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. What is the units digit of (-1)\/o + (-9)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*y - 2, y = 6*z - 237 + 238 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.674 - 28.674. Is i equal to 71\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + n. Suppose 9*g = -6*g + g + 28. Let w(r) be the first derivative of 1\/3*r**3 + 0*r**g + 0*r + 13. Calculate d(w(h)).\nAnswer: -2*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**2 - 3464*u + 17847 wrt u?\nAnswer: 4*u - 3464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r + 9, 2*z = -3*r + 7385. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 5*y - 4*y = -2, 79*y - 74*y - 134 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20\/(-12) + (1292\/12 - -2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + 100. Suppose -5*v + 41 + 39 = 0. Suppose 0 = 4*b + v - 88. Calculate the greatest common divisor of b and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1127305?\nAnswer: 4\/1127305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1035, 0.2, -2\/3, -4, -0.181?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -223 and -1.06.\nAnswer: 236.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24334 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 611 + -596. Suppose -11*q = -28156 - i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let u = -83 - -67. Let h be -3 + (24\/(-6) - u) + -5. Solve v*g = g + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 4*z + 104, 2*x - 4*x - 2*z = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/5623 + 11252\/16869. Determine b so that -2*b - a + 2\/3*b**2 + 2*b**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((18\/(-75))\/((-40)\/(-25))). Suppose -p*l + 33 + 7 = 0. Solve l - 7 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 354, 317, 270, 219, 170, 129, 102, 95?\n\"Answer: p**3 - 11*p**2 - 11*p + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 3*m - 1. Let q(i) = 4*i - 3*i + 3 - 2 + 4*i - i**2. Let l be q(4). Let v(c) = -4*c**3 - 5*c - 1. Let d = 177 - 180. Give d*v(b) + l*o(b).\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.009006 millilitres in litres?\nAnswer: 0.006009006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2575044l to millilitres.\nAnswer: 257.5044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22012120 (base 4) in base 5?\nAnswer: 2310433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 109 = -66. Let t = i + 8. Let w(j) = -j**2 - 17*j + 5. What is the units digit of w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 52496*m**3 - 689114974*m**2 + 4133272560*m - 6199200225.\nAnswer: -(m - 26245)**2*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9632, -3, -1, 0.12, 20?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.718 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**28*d**(7\/3)\/(d\/d**(1\/15))*(d**(-2\/5))**28\/(d**3*d**(2\/3)) assuming d is positive.\nAnswer: d**(-886\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -1\/2 (c) 1\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1496 = -5*l + 2099. Suppose -179 + l = -v. Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 869, -0.3, 241?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsau when four letters picked without replacement from saoguofu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, 915, 4, -2, -5, 2 in ascending order.\nAnswer: -38, -5, -2, 2, 4, 5, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676282 is divided by 267628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35041240 divided by -3?\nAnswer: 35041240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 12) + -12 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000109 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2749, 2769, 2825, 2935, 3117, 3389, 3769, 4275?\n\"Answer: 3*n**3 - n + 2747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 621335648*g + 48257248434447488.\nAnswer: 2*(g - 155333912)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197168?\nAnswer: 2, 3, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5288*i**2*v + 2705*i**2 - 2 wrt v.\nAnswer: -5288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 316741754.\nAnswer: 1266967016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*u**4 - 46*u**2.\nAnswer: 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in 4, 14, -5, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -788.64871 rounded to 1 decimal place?\nAnswer: -788.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (24 + -4 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 1, i: 2, l: 2, t: 2, g: 4}. Give prob of sequence tla.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3220 = -3*q, -q + 0*q + y + 1075 = 0. What is the remainder when q is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 10 (b) 0.5 (c) -98 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.54 + -5.24. Let t = -447 - -7597\/17. Which is the second biggest value? (a) w (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 - 6*w**3 - 3*w - 3286?\nAnswer: -4*w**3 - 18*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4418\/2923 or 2?\nAnswer: 4418\/2923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/133, -2, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:13 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57125 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1154, 4809, 10894, 19409, 30354, 43729, 59534?\n\"Answer: 1215*n**2 + 10*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/38 and -79\/2058.\nAnswer: 39102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 376 = -5*x, 0 = -3*x - 2*g - 54 - 172. Let v be (1 - x)\/((-1)\/(-1)). Let s = -761\/10 + v. What is the common denominator of s and 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5\/803 (b) 2\/9 (c) 2\/13 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -38830.\nAnswer: 2\/19415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*b + 2*b - 10, 0 = 3*k - 15. Suppose -5*l = -5*z + 15, 7 = 3*l + 2*z - 4. Put -6, b, l, 4 in descending order.\nAnswer: 4, l, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3226, 12918, 29086, 51730, 80850, 116446?\n\"Answer: 3238*m**2 - 22*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45079660.\nAnswer: 2, 5, 499, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1395?\nAnswer: -2\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a02608 - 80?\nAnswer: -a02688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/5, -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/12)\/(-2 + (-10)\/16). Let p = 0 + -0.4. What is the nearest to -1 in -1\/3, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Suppose -2*j + 2 = -3*j. Let n be -4 + (1 - (j - 0)). Is f smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.04750084 to four decimal places.\nAnswer: -1.0475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 146, 220, 294?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/11638 and -1\/33856.\nAnswer: 372416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (320\/176)\/((-276)\/(-132)). Which is greater: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - o. Let m be s(1). Let i(a) = a**3 - 6*a**2 - 2*a. Give i(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10262557.\nAnswer: 10262557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75132 + 27539 = 54*f - 2457*f + 20969 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -297*t + 737 wrt t.\nAnswer: -297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:00 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - m + 20 = 0, -3*k + 438*m - 437*m + 13 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i - 1. Is s(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23641979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*u = 131*u - 1914 + 13100. Solve -36 - u = -35*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9201 or 9200?\nAnswer: 9201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3874?\nAnswer: 1162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3*q + 0*q)*(-23322*q**2 - 26577*q**2 + 46803*q**2) to the form j*q**3 + z*q + v*q**2 + y and give j.\nAnswer: 3096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 8. Let d be r(0). Let c = 8 - d. Sort c, 5, -2 in decreasing order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 divided by -23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8005 is divided by 2520.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*b + 17, -4*w - 4*b - 2 = 2. Suppose -3\/2*y**3 + y**w - y**4 + 0 + 0*y = 0. What is y?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*sqrt(931))**2 + sqrt(19) - sqrt(19))*-6 + -1).\nAnswer: -67035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/7 + 12*a**4\/7 + 9*a**3\/7.\nAnswer: 3*a**3*(a + 1)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 77*s + 7464 - 5854 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*c**2 - 372*c**2 + 183*c**2 + 1868*c**3 - 1908*c**3.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.7 + 119.7. Let l = 13870.15795 - 13969.16. Let r = l + y. Round r to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 828c?\nAnswer: -8274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1233 and -1?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20338 and -49\/4677740.\nAnswer: 4677740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -251272.456 - 3.2192\nAnswer: -251275.6752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 160. Let x be h(-55). Solve -x*v + 12 + 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(11\/2)\/((t**(3\/29)\/t)\/t))\/(t**(-7)\/(t*t**(-14)*t)) assuming t is positive.\nAnswer: t**(139\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 540 + 3?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77824.03 nanograms in kilograms?\nAnswer: 0.00000007782403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89325*q**2 - 419*q + 3 wrt q?\nAnswer: -178650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(0 + -13)*(-2262)\/(-1508)*(-140 + 138).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509990 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.161506292 - 568.6.\nAnswer: -581.761506292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (-1*sqrt(121) + sqrt(121) - sqrt(121)))\/sqrt(11) + 5 + sqrt(11)*1.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 53\/(-795) + (-3437784)\/(-135). What is the highest common factor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91351 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 10*n + 3. Let q be t(0). Let l = 11 + -8. Suppose 0 = -4*r + l*f + 164, 0*r - 4*f - 92 = -2*r. Sort r, 0, q.\nAnswer: 0, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 370 = 4*p, s + 80 = 4*p - 299. Let u be 10\/25 - (p\/60 - 1). What is the second biggest value in u, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 7*r**3\/4 + 9*r**2\/2 + 2*r.\nAnswer: -r*(r - 4)*(r + 1)*(3*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13617398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-35))\/((-39)\/182))\/(236\/(-6))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -b - 0*k - 259, -2*b - 3*k - 513 = 0. Let j = 140 - b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8137 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/5)\/f**9)\/(f**(-8))**(-28))**(4\/11) assuming f is positive.\nAnswer: f**(-4636\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -36\/11, -1, 3, 0.29, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6 + -3 + (-102)\/(-68))\/((-45)\/18)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r*((r*r**(-11))\/r)\/r)**(-7\/2)\/(r*r**(-1)\/r*r*r\/(r*r*r\/((r**(-2\/5)\/r*r)\/r)*r))**(6\/7) assuming r is positive.\nAnswer: r**(1112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4 + 5886*r**3 + 267408*r**2 - 4995150*r - 5256675 = 0.\nAnswer: -1915, -61, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a635 (base 12) to base 2.\nAnswer: 11101110000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/15*-5 + -7. Let s(l) = -10*l - 4. Let m(n) = -19*n - 7. Give q*m(y) + 7*s(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1452 and 232683?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84033865 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (37 - 40 - ((11 - 0 - 9) + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -13 = -200\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38354854264 + 38354880403.894127. Let l = 26093.894 - w. Let x = l + 46. Round x to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -60523.\nAnswer: 60523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -7 + 1 + 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + u = 34, 0 = 41209*u - 41203*u - 24 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 708362364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(486)*-2 - sqrt(6)) - sqrt(6))*-3)\/(-4*sqrt(81)\/sqrt(3)).\nAnswer: -19*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 38 + 34 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150165545 is divided by 83751.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105150000 rounded to the nearest 1000000?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**2\/2 + 8. Give s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2. Let o(a) = -6*a**2 + 2*a - 9. Let m(q) = 5*g(q) + o(q). Let s(v) = 3*v**2 - 26*v - 12. Let h(f) = 4*m(f) + s(f). Calculate h(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -633 - 197. What is the remainder when w\/2 + -1 + 3 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*n - 4249 + 8495 - 4248)*(54*n - 54*n + 9*n**2) in the form z*n**2 + f + d*n + h*n**3 and give h.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443301 + -13?\nAnswer: 443244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -28*d**3. Let o(j) = -7*j**3. What is -26*o(k) + 6*v(k)?\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnjrjjrrhnjn. Give prob of sequence rrn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2 - s**2 + 0*s**2 - 42*s**2 - 11*s wrt s.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*-2 + -2. Let f(k) = -k + 2. Let m(u) = -3*u + 5. Give x*m(h) + 8*f(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 - 4.87. Let a = r - -5.2. Is -0.1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3137*w - 734*w + 1285*w.\nAnswer: 3688*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13412 = -2599*q + 2120*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43711 - -62539. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 81*m - 540 = 0. Calculate m.\nAnswer: 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00136150359 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*f - 54*f + 73*f)*(-1 - 2*f**3 + 1) + 3*f**4 + 2*f**2 - 2*f**2 + (f + f - 3*f)*(4*f**3 - f**3 - f**3).\nAnswer: -105*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4941 + 7823 + 4776 = -805*m - 4195 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) + -3 + -3. Suppose 0 = 10*y + 5 + 65. Sort d, -3, y in descending order.\nAnswer: -3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 193939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/204410 and 53\/8.\nAnswer: 817640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*l + 1465, -10*l - 2*o = -15*l + 1435. Let r = l + -153. Calculate the lowest common multiple of r and 22.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0. Let j = 22768\/435 - 1\/145. Let r = j + -53. What is the third biggest value in r, t, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226896 is divided by 226885?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:53 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 57. Let j be z(0). Let t be 1\/(1\/(0 - j)). Let u = -35 + t. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/47 + -206\/423. Put 0, v, 13, -0.5 in increasing order.\nAnswer: -0.5, v, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 6*n**2 + 8*n + 4. Let i be w(4). Suppose 7 = 3*o - 8. Put i, -6, o, -1 in ascending order.\nAnswer: -6, -1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 6915*w**2 - 62478*w.\nAnswer: 3*w*(w - 2314)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 532 - 539.82. Let p = b + 4.9. Let h = 0.08 - p. Sort -0.1, -2\/7, h in descending order.\nAnswer: h, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1744 + 1783 = 0. Let j(g) = -2*g**2. Let c(a) be the first derivative of -5*a**3\/3 + 2. Determine k*j(l) - 6*c(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - 113.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1002 - 1004. Let q = -17\/11 + 10\/11. Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6613038 or 6613047?\nAnswer: 6613038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/(-11))\/132)\/(((-40)\/(-55))\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 236331.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 10. Let w be o(7). Calculate the common denominator of -29\/4 and 4 + w - (-268)\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 2249*b + 5*b**2 + 4*b**2 + 0*b**2 - b**2.\nAnswer: -b**2 - 2249*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -3. Let n = 37 - r. Calculate the lowest common multiple of 8 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*y + 2890 = 0, -x = y - 634 - 326. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -420 (b) 2\/9 (c) -11\/12 (d) -5 (e) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44040171 to 3 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -89. Let l be ((-2)\/f)\/(3\/(660\/8)). Let s = l + -36. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*f**3*i**3 + f**3 - 2169*f**2*i**2 + 1677*f*i**2 - f + 2*i**3 - 22*i + 1 wrt f.\nAnswer: -144*f*i**3 + 6*f - 4338*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1861979524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(80\/(-96)*20\/(-25)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by 136986?\nAnswer: 116\/68493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4430 - 2426. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from {h: 3, b: 1, d: 1, m: 5, e: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 31*u**2 + 41*u - 66. What is the thousands digit of o(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 16 = -2*h + 10*k, 5*h - 5*k = 25. Let v(z) = z**2 - 8*z + 18. What is v(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80365, 80370, 80375?\nAnswer: 80380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 5*l + 6*l - 8*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.34*-0.236\nAnswer: -0.08024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/115652 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 1. What is w(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 81.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1595 - -3066. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, -4, -7.5 in decreasing order.\nAnswer: -4, -7.5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -36064*i - 432418. Calculate t(-12).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 + -3 - (-7 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 14*h - 19. Let p = 49 - 36. Let m be f(p). Let b(l) = l + 16. Let t be b(m). What is the greatest common factor of 55 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 2*sqrt(272)) + 3 - (sqrt(272) + 0)*4)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -42. Suppose 0 = g + 2*g. Put p, 4, g in descending order.\nAnswer: 4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 968 + -900.9. Let r = m + -69.1. What is the fourth smallest value in 0.2, 3, -1, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 36. Suppose -j*v = -7*v + 54. Let h = 24 + v. Solve b = h*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i\/(i\/(i\/i**(1\/3))))\/i)\/i)\/i*i)\/i)\/i)**(-14)*i**(2\/3)\/i**(-9)*((i\/i**5)\/i**(-2))\/(i*(i*i**(-2\/7))\/i*i\/(i*i**6\/i*i*i)*i) assuming i is positive.\nAnswer: i**(1252\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -7. Calculate the highest common factor of 54 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47290838 and 952?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5\/1 + (-94 - -386)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 5*w)*(9*w - 2*w + 0*w)*(3 - 2 + 0).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*n + 5*s, 12 - 7 = 5*n - 2*s. Which is the second smallest value? (a) 1\/5 (b) -0.32 (c) n (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o - 256. Let a = o - -197. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -15*f**2. Let o(z) = 130711*z**2. What is o(x(p))?\nAnswer: 29409975*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858459?\nAnswer: 3, 7, 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3) - 5\/(-15). Let c(m) = -m**3 + 2*m**2 + 3*m. Give c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1839 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12282 divided by 6\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 468544933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 3:33 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3564, 7086, 10560, 13986?\nAnswer: 17364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*l = 322, 20*k - 4*l + 326 = 23*k. Calculate the remainder when k is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11766 - -11756. Let p(l) = -4*l - 14. Determine p(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*s**2 - 37*s**2 + 243*s**2)*(s**2 + 0*s**2 + 2*s + 0*s).\nAnswer: 275*s**4 + 550*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67 * -0.13.\nAnswer: -0.0871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1758613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.7. Let r = -1047 + 6287\/6. Which is the biggest value? (a) r (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16111 (base 16) to base 8.\nAnswer: -260421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from hanannndhaaah.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1530\/(-170) - (-150)\/18. Suppose 4*r - 25 = -5, x - 2*r + 6 = 0. Which is the fourth biggest value? (a) 0 (b) 2 (c) j (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -210*o**2 - 24*o - 24. Let l(k) = k**2 + k + 1. Calculate 3*d(g) + 72*l(g).\nAnswer: -558*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - n + n - 2*n = 14, 0 = -2*l + 5*l - 5*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 + 16*z - 30. Let p(d) = d**2 + d - 3. Let q(a) = 12*a**2 - 48*a + 2. Let t be q(4). Let r(m) = t*y(m) - 20*p(m). Solve r(s) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8190986 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**7\/3 - 13*f**3\/6 + 9*f. Find the second derivative of l(p) wrt p.\nAnswer: 280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221941 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -429?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 43*r**2 - 6*r + 13. Suppose 0 = -v + g + 6, 3*v = 4*g - 0*g + 22. Is 15 a factor of j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 15*f - 124 = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3912646, -3912643, -3912640, -3912637, -3912634, -3912631?\nAnswer: -3912628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24250 at least 24247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001630338 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5*n + 193*h**4*n - 56*h**3*n + 7043*h**2 + n wrt h?\nAnswer: -60*h**2*n + 4632*h*n - 336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 3*m + 4*m)*(3*m**2 - 2*m**2 + 0*m**2) - 6*m**3 - 98*m**3 - 14*m**3 - 179*m**3.\nAnswer: -287*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.03814*-0.2\nAnswer: 0.007628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2 - 913*v + 763. What is a(-153)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 222. Suppose 9*a - 10 = -g. Let q be (-4)\/2 - (-2 + 2). Sort 3, a, q in ascending order.\nAnswer: a, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*x + 519*x**2 - 261*x + 79*x + 76*x.\nAnswer: 519*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -498*p**3 - p**2 + 6*p + 6. Is r(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950 divided by 19.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-1428)\/196)\/(-51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 39?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 4) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -42*x**3 - 35*x**2 + 35*x - 35. Let d(w) = w**3 + w**2 - w + 1. Give 35*d(r) + i(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*s - 8*s + 25*s - 16*s)*(3*s + 2*s - s) to the form v*s**2 + h*s + w and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 35 = -4*c - 15, 3*a + c = 176. Suppose -8 = -2*j, 0 = -3*p + j - 17 + a. Let y = p + 10. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 474\/5, 5, -1.7 in decreasing order.\nAnswer: 474\/5, 5, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101920392?\nAnswer: 2, 3, 7, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 4, c: 1, z: 5, k: 4}. What is prob of sequence kc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159241 to the power of 1\/2, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 780, 909, 1130, 1443, 1848, 2345, 2934?\n\"Answer: 46*u**2 - 9*u + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4411255 - 305?\nAnswer: -4412004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elhh when four letters picked without replacement from uhlelhtf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1 + -3 + 3. Suppose 0 = 4*z - 16, -35 = -4*x - l*z + 33. Let p = 0 + x. What is the remainder when 38 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -51. Let j = 44 + r. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142207 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 868*n + 4335. Give b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*o + 145*o + 155*o + 160*o + 148*o + 163*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*112115\nAnswer: 224230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*c + 6*c. Suppose 291 = 4*r + 3*w, -r - c*w - 2*w = -89. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 1, 7*i - 4*i = -2*n + 169. Solve -13*k = n - 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 4*k, -7 = -4*p + 2*k - k. Suppose 4*s = -m - 8 + 21, 0 = -s + m + p. Sort 5, 2, s in decreasing order.\nAnswer: 5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621076 to the power of 1\/2, to the nearest integer?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 2, 4*o + 41 = d. Suppose 0*n - 8 = 2*n, -7 = g + 4*n. What is the highest common factor of g and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + 271250 + 12*j - 271248 + 18*j**2 + 10*j to the form z*j**2 + g*j + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 + d**5\/30 + d**4\/6 - d**3\/6 - d**2. Let n be q(3). Suppose 0 + 2\/7*u + 2\/7*u**3 + 4\/7*u**n = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 42*f + 6*f)*(14*f - 14*f + 8*f**2).\nAnswer: 384*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 83*n - 168. Calculate the remainder when 267 is divided by r(-39).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712119163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -50304 (base 7) in base 14?\nAnswer: -4604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 3, v: 2, t: 2, a: 1}. What is prob of sequence rprt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/18*-14 + (-1 - (0 + 2)). Solve -4*i - 9 = l*z - 1, 4*i + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317376658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 58*o**2 + 10*o - 4. Let j(m) = m**2 + 2*m + 1. Let u(h) = -6*j(h) + v(h). What is the hundreds digit of u(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-0.02922986.\nAnswer: 0.2922986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 8*i - 5. Let t(x) = -3*x**3 - x. Let w be t(i). Suppose -w*c - 328 = -8*c. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1181, -3508, -6989, -11636, -17461?\n\"Answer: -2*l**3 - 565*l**2 - 618*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -18*a**3 + a**2. Let z be m(-1). Suppose 3*n = c - z + 7, 5*n - 22 = -3*c. Suppose -535 = -c*r + 1580. List the prime factors of r.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -47, -134, -277, -488, -779?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9799 + 11199 = -56*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147934398 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-2)\/(36\/(-16) + 2 + 483\/7084).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5452330 + 4?\nAnswer: 5452334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.46 in -0.4, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 7 + 7 = 0. Let r(w) = w**2 - 41*w - 51. Let v(u) = 21*u + 26. Let a(t) = d*r(t) + 5*v(t). Is a(-13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + a + 0 - 16*a)*(16*a - 136 + 136).\nAnswer: -240*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s - 1. Let d be -2 + 1 + 5\/1. Suppose -3*o + o = d. Let u be ((-2)\/o)\/(2 + -1). Give c(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thv when three letters picked without replacement from {h: 5, q: 1, i: 4, t: 4, v: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -5.3. Let w = 1.7 + -3.7. What is the second smallest value in 5, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = a - 3 - 7, 3*a + 4*v = 14. Calculate the remainder when 170 is divided by 2*(1 - a) + (-10 - -55).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37795 plus 0.082?\nAnswer: 0.45995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:41 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -936064487 divided by 2\nAnswer: -936064487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*n - 18, -5*n - 3*x - 9 = -x. Let v(t) = t**3 - 45*t**2 + 4*t - 174. Let d be v(45). Sort 5, n, d in decreasing order.\nAnswer: d, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -31169757.\nAnswer: 2\/10389919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 2825.9633\nAnswer: 2825.5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 849396647 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 92610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + a + 4. Let q be i(2). Let v = -16 - -19. Put q, v, 2 in decreasing order.\nAnswer: v, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89243.33um to centimeters.\nAnswer: 8.924333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 227 and -7.\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 + 2*a**2 - a**2)*(-6*a - 3*a - 4*a) to b*a**3 + n + l*a + d*a**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 0.0477.\nAnswer: 0.1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570 - 21*w + 284 + 284.\nAnswer: -21*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 601059 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 plus 1055676?\nAnswer: 1055676.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 1. Let j(m) = -13*m**3 + 5*m**2 - 5*m - 5. Let y = 3556 - 3551. Give y*l(t) - j(t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1178451, 0 in decreasing order.\nAnswer: 0, -0.5, -1178451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 34. Suppose -2*w + 4*i + 20 = 2*i, -5*w - 2*i + 57 = 0. What is the least common multiple of w and b(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -427333304 from 5.\nAnswer: 427333309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:53 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -78*n - 59. Let h(a) = a + 1. Let j(z) = -5*h(z) + r(z). What is the derivative of j(b) wrt b?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 divided by 62?\nAnswer: 369\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 5*y**3 - 65*y - 33*y.\nAnswer: 2*y**3 - 98*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 60 = -11*s. Suppose s = w - 12. Calculate the remainder when 106 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13011.97*-2.\nAnswer: 26023.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 - -556. Suppose -3*c + 169 = -t. What are the prime factors of c\/3*48\/16?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1485, -5996, -13529, -24084, -37661, -54260?\nAnswer: -73881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l + 4. Let q be r(4). Suppose t - 4*t + 2*z = -252, 252 = 3*t - 5*z. Calculate the greatest common divisor of t and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*r - 31*r - 17961 + 2247. What is the remainder when r is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622769*m + 553893*m + 85077*m.\nAnswer: 1261739*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -3*a. Let c be 3 + ((-81)\/6)\/a. Let t = 2.8 - 3. What is the smallest value in 2, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 5, q: 2, b: 3, x: 1, k: 1}. Give prob of sequence bxvv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -27 (b) 97 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983.8093ng to micrograms.\nAnswer: 0.9838093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24775 is divided by 381.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -127 (b) 1\/9 (c) -1\/36 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 0*a**2 + 0*a**2 + a + 7*a**3.\nAnswer: 7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 6. Let s(h) = h**2 - 15*h + 47. Let g be s(11). Let w be p(g). Solve -1 = -3*b - v, -4*b - 3*v = -w*b + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2889\/5 in -0.3, -4, 33, 2\/5, -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywnnywnxybnwwbyy. Give prob of sequence yy.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 3*s**2 - 2*s**2 - 2*s**2 + 0*s**2 + 4*s**2 - 2 + 2 - 2*s**2 + (4 + 1 - 3)*(-2*s**2 - 4*s + 4*s) - 13*s**2 + 9 + s - 4 + 10*s**2.\nAnswer: -9*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -7a3a856?\nAnswer: -7a3a851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + a**3 + 2 - 140*a**2 + 16*a**3 + 140*a**2 + (5*a**2 - 6*a**2 + 0*a**2)*(4 - 5*a - 4).\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*u + 500 = -149*u. Let t = 272 + u. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i + 9 + 19 + 7*i in the form j*i + h and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 554.0108 + -554. Let d = 0.3622 + i. What is d rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -9795, -32974, -78077, -152406, -263263, -417950, -623769?\nAnswer: -888022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) 107693 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 58*i + 410. Let t be h(13). Let u(f) = -161*f**2 + 3*f. Let n be u(2). Is t*(-5)\/(-10) - n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 221 - 55)*(-15 + 15 + 13*h**3).\nAnswer: -4576*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*d + d = 2, v = -2*d - 12. Let z be ((-2)\/3)\/(v\/(-9)). Let q = -36274 - -36275. What is the closest to q in 0, z, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/23 and 9\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.9755293 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.179 times 873?\nAnswer: -8013.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.57561 to 2 dps.\nAnswer: -86.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) + 27 + -2. Suppose -3*s + w = -2*s. Let a = 36 - s. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Let q be 3\/(9\/(-6) - -3). Suppose -12 = -4*l, -p - q*l = -5*p - 2. What is the nearest to p in -3\/2, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-24))\/(2\/(-3)). Is 2 - (-411 + 0)*i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 + 3. Let r be z(4). What is the common denominator of (-20)\/r*(-156)\/32 and 71\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7026 divide 411864120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1762\/6167)\/((-128)\/84).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4042.8 + -4006.80155. Let v = i + -36. What is v rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -422278781\/16 - -26401693. Let t = -9265 + k. Let u = -307\/130 - -84\/13. What is the common denominator of t and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 14908919?\nAnswer: -5963567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(1*(-3 + 1))\/4. Suppose 3 = -o*s + 13. Solve -3*d - s*d - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*a**2 + 243*a**2 - 70*a**2 - 110*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 - 34 - 1 - 3*d**4 - 63*d**4 wrt d.\nAnswer: -264*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 130126040*v**2. Let u(k) = -4*k. What is u(y(b))?\nAnswer: -520504160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:52 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132995998 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -4, 1, 6, 11, 16?\n\"Answer: 5*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 + 5. Let h = n + -0.6. Let g = 8.4 + h. What is g rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 6*t**2 + 2*t - 45. Let i be n(-8). Sort 5, 4, i in decreasing order.\nAnswer: i, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/12)\/(16\/12). Suppose 0*z = 5*o - 2*z - 17, -o - 2*z + g = 0. Suppose 552 = o*q + 3*q. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.560702331 rounded to five dps?\nAnswer: -0.5607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:00 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 2. Let r = -3 + -2. Let b = r - -8. Suppose -3 + 11 = -2*x. Let o(n) = 6*n + 3. Calculate b*o(p) + x*f(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18282.49 - 18369. Let d = o + 87. What is d rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + t + 1. Let n = -10 - -15. Suppose -k + 14 = 2*q, 0 = -k + 6*q - 2*q - 10. Let m(b) = -k*b + 6*b - 4*b**2 + 4*b + 4. Give n*c(g) - m(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 - 5*z - 1. Let q(l) = l**2 + l - 2. Let t(s) = -3*q(s) + v(s). Give t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8910 and 163\/139320.\nAnswer: 1532520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*a**4 - 127120*a**3 - 937*a**2 + 3*a + 3093.\nAnswer: -1752*a - 762720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1691832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215767869, 431535740, 647303611, 863071482, 1078839353?\nAnswer: 1294607224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727571 (base 8) to base 9.\nAnswer: 407275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533979.\nAnswer: 3, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 6*a - 5. Let t(c) = -2*c**2 - 5*c - 4. Let s(p) = 2*p**2 - p. Let n be s(2). Determine n*t(i) - 5*w(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2103 - 2107. Let s be (12\/(-16))\/((-2)\/8). Which is the nearest to 0? (a) s (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(-47)) - (-40 - -40). Solve 51*i = j*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4302648, -4302460, -4302274, -4302090, -4301908, -4301728?\nAnswer: -4301550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from kqqqaqaaqaqaaqkqqa.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h + 13. Let s be z(9). Find the common denominator of (-6)\/s + -1 - (-3111)\/(-4880) and 111\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233255 + 4?\nAnswer: -233251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - -2 - (11 - 12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 36 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 235*l - 686. What are the prime factors of f(36)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23283780.\nAnswer: 2, 3, 5, 13, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2559 = -6*y - 2583 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n - 2*n + 4*s, 1 = n + s. Solve 2*o + k = 3, -3*o - 2*k + 7 = n*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/3 + 11*k**2\/2 - 3*k. Let n be o(-5). Let x = 329\/11 + -30. Is x less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 5. Let o be n(-4). Let g be (o\/36)\/(3\/(-12) - 0). Suppose 5*f - 1025 = g*y, -2*y + 127 = f - 65. List the prime factors of f.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 5, i: 1, o: 7}. What is prob of sequence joo?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 793585337 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -677812 - 1545907. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**2 - 1. Let f(b) = -112*b**2 + 36*b + 12. Let l(r) = f(r) + 12*w(r). Factor l(p).\nAnswer: -4*p*(p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124 - 105) + -12 + 0 - (-1 + -15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 459.265*-3.4\nAnswer: -1561.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**26*w*w)\/w)**(-31))**(-1\/13) assuming w is positive.\nAnswer: w**(837\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/4 - 4*c**2. Let b(z) = 2*z. Calculate b(i(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1959, -1005, 1591, 6651, 14997, 27451, 44835?\nAnswer: 67971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/8)*c)\/c*c\/(c\/(c\/(c**(2\/7)\/c*c))))**3\/((c**(4\/7)*c**(-2\/13)*c)\/(c**5*c*c\/c**(5\/2))) assuming c is positive.\nAnswer: c**(4077\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4)\/w)\/w**1*(w**(-1)*w)**(-44) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(28)\/sqrt(4) + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 680 and 1785.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10892772*b*f**2 + 101639*b - 8*f**2 - 3*f + 25 wrt f.\nAnswer: -21785544*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207330.\nAnswer: 2, 5, 307, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8 = v, -411*a = 4*v - 410*a + 37 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 78294*p - 510829203 = 0. What is p?\nAnswer: -13049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -13, 25, 101, 227, 415?\n\"Answer: 2*z**3 + z**2 - 5*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1349 and 355?\nAnswer: 6745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24505 = 93*j + 5161. What is the least common multiple of j and 96?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -2510255?\nAnswer: 2510253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3022 divide 61516337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54694386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*n + 128. What is the highest common factor of 72 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:55 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 6)*((-4*l + l + 0*l)*(l**2 - l**2 + 2*l**3) + 0*l + 2*l**4 + 0*l) as w*l**4 + s*l**3 + c*l + q + f*l**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*g - 173*g - 59*g + 664*g.\nAnswer: 1184*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -22 - 3. Suppose -4*h - 15 - 26 = -i, 70 = -5*h - g*i. Let x = h + 25. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 15 = 0, -9*q + 5*p + 39 = -8*q. Let w be 4*(-4)\/q + 508\/6. What is the greatest common divisor of 63 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.36406 * 0.5.\nAnswer: -5.18203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**5 + 4*t**5 + 2*t + 0*t**5)*(1 - 3 + 0).\nAnswer: 2*t**5 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -315, -469, -621, -771, -919?\n\"Answer: c**2 - 159*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + 254. Suppose 0 = -24*h + 50 + b. What is the highest common divisor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5111297 milligrams to tonnes.\nAnswer: 0.0000000005111297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:24 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3361244 + 870560808\/259. Let f = -8\/37 - z. Factor -2\/7*c**3 - 8\/7*c**2 + f + 6\/7*c.\nAnswer: -2*(c - 2)*(c + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -6, -4 in decreasing order.\nAnswer: 212, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**2 + 109*a**3 - 119*a**2 - 109*a**3 + 27*a**6 wrt a?\nAnswer: 3240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2. Let v be y(2). Let z(w) = -5*w + 10. Let f be z(7). Let k = f + 25. Put -3, k, v in decreasing order.\nAnswer: v, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 14) to base 2.\nAnswer: -111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 5.866.\nAnswer: -1.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f - 33*f + 144 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*o - 11 = 4, -p - 2 = 4*o - 8*o + 4 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183516072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 59 in decreasing order.\nAnswer: 59, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1116 and -99\/38.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27205 - 14040. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0.6. Let y = l - 0.9. Which is the biggest value? (a) 0.06 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02792 rounded to four decimal places?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 36*k. Let o(s) = -7*s - 11*s + 6*s. Let n(d) = 3*l(d) + 8*o(d). Let i(p) = 2*p**2. Give i(n(w)).\nAnswer: 288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 9:26 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 2*h**2 - 21*h**3 - 5*h**3.\nAnswer: -22*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41664 = -17*y + y. What is the tens digit of (-1)\/(8\/y)*32\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -0.1. Let h = -2.6 + 2.2. Let x = 0.1 - 0.1. Which is the nearest to x? (a) h (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3268 and 774?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -874 and 119.8?\nAnswer: 993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnmt when four letters picked without replacement from {m: 4, s: 3, d: 1, t: 1, n: 5}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 13 = 2*f. Suppose 0 = 4*q - 2*k + f, -2*q - 2*k - 15 = q. Let h(u) = u**2 + 3*u - 1. Is 2 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.078 + 1.078. Let n(w) = 2*w**2 + 29*w - 14. Let s be n(-15). What is the closest to s in -2\/11, t, 0.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -6*h - 632064. Is 17\/85 + h\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (93\/5 + -18)\/((-16)\/180))*16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 393 = -4*g, f - 398 + 11 = 2*g. What is the remainder when f is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 228, 529, 1132, 2139, 3652?\nAnswer: 5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 1:51 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 + 134. Let w = -2 - -1. Put w, g, -3 in decreasing order.\nAnswer: g, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123 a factor of 761065700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 25998.\nAnswer: 1403892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10159065 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 - (-1079)\/(-65) - 85098\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 7*i + 80. Let v be n(13). Let f(h) be the first derivative of -8*h - 7 - 7\/2*h**v. Find the first derivative of f(c) wrt c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 10. Let t be (735\/9)\/(9\/27). Suppose 4*i = 63 + t. Let a = -87 + i. Determine c(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 1, 2, 0.13, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 227990.\nAnswer: 2051910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a22 - -117?\nAnswer: -490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 - 61564*n**2\/9 + 123134*n\/9 - 61568\/9 = 0. What is n?\nAnswer: -30784, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2. Let z(n) = 5*n**2 + 3*n**2 - 3*n**2 + 4*n**2. Calculate s(z(q)).\nAnswer: 324*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -5 (c) -2\/7 (d) -3\/419\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468530 by -468530.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69589 and 55809?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -162. What is the closest to 0.1 in 5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.75577 to two decimal places.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-8 - 11) + -5 + 0\/(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2778579, 2778551, 2778523, 2778495, 2778467, 2778439?\n\"Answer: -28*p + 2778607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(66) + sqrt(66) + sqrt(66))*3)\/(4*(sqrt(42)\/(sqrt(14)\/sqrt(2)) + sqrt(6))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1031463 - 3418?\nAnswer: 1027044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 156 = 26*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/1)\/(8 - 7). Calculate the highest common divisor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - 64*f**2 + 6*f + 101. Let k be i(-16). Solve -k*g + 3*z = 46 - 6, -15 = 2*g - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73304 = 2953*g - 6888 + 33986 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165, 2590, 4553, 7324, 11173, 16370?\nAnswer: 23185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 85907.31 nanometers?\nAnswer: 85.90731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 180280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068002?\nAnswer: 2, 37, 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10702, 12117, 13538, 14965?\nAnswer: 16398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.119186 millimeters?\nAnswer: 0.7119186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41382 times -47\nAnswer: 1944954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -29.\nAnswer: 113\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1778162, 3556147, 5334132?\nAnswer: 7112117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2, -7, -4, 3, -194.\nAnswer: -194, -7, -5, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103781.\nAnswer: 59, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 12*t + 17. Let q be s(10). Put 1, 5, q, -5 in increasing order.\nAnswer: -5, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1257734*r**4 + 604366*r**2 + r - 1 wrt r.\nAnswer: 30185616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/430664 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/739109 and 4\/950283?\nAnswer: 6651981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 15*s - 16. Determine f(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -3, 4, -4, 5 in descending order.\nAnswer: 20, 5, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3)*b)\/(b*b**(-2\/17)))\/(b\/b**(-2\/13)*(b\/(b\/(b*b**(-35))))\/b))**6 assuming b is positive.\nAnswer: b**(42384\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 + 8 + 1. Let u = 13 - 6. Find the second derivative of -13*x**3 - 31*x + q*x + u*x + 29*x wrt x.\nAnswer: -78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 2. Let w be ((-2)\/(-5))\/((-31)\/5). Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:51 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 1512?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + (6 - (-7 + (2 - -8))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6030, 6033, 6026, 6003, 5958, 5885, 5778, 5631?\n\"Answer: -z**3 + z**2 + 7*z + 6023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgb when three letters picked without replacement from {b: 3, g: 4, l: 1, w: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**4 - 16991*f**3 - f**2 + 67118 wrt f?\nAnswer: 264*f - 101946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488100, 488076, 488038, 487980, 487896, 487780?\nAnswer: 487626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -4, -2.\nAnswer: -12, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/(-6))\/(8\/(-12)). Let s = -4 + n. Suppose 5*j - 7 = -4*r, -3*j = 4*r - j + 2. Is r bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**2 + 3*x + 4*x + x - 6*x**2 wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4857 is divided by 475.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4352 + -4351. Let d be (4\/6)\/(-1) + 2. What is the nearest to -1 in 0.1, d, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 0.1531?\nAnswer: 10.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywnk when four letters picked without replacement from nnwnwyywnnwwwkwwyn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0.03 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184163.965 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u = 246 - 130 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 + 5*z**2. Suppose 4*t + 26 + 2 = 0. Let g(q) be the third derivative of -3*q**6\/40 + 11*q**5\/60 - q**2. Calculate t*n(f) + 3*g(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*w = w - 28, -16 = -3*a - 2*w. Let g = 6 - 6. Suppose g = 2*d + 4*t - 10, t - a + 1 = -d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 6, t: 2, e: 1, b: 5}. Give prob of picking 2 o and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93816881 to the nearest integer?\nAnswer: 9686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 6711 - 2510. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215505 - 215505 + 5*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dptt when four letters picked without replacement from dttttptttdtttttpp.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-2)*8295\/(-45)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-2\/23)\/q)*q))\/q)\/(q*q**(-7))*((q**6*q)\/q)\/(q*q**(-8)) assuming q is positive.\nAnswer: q**(366\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111333*t + 28104*t - 50631*t - 9216*t.\nAnswer: -143076*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -223712 (base 11) in base 8?\nAnswer: -1267615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 13) to base 9\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:34 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 14*i = 0. Suppose 0 = l - 4 - 1, -q + 2*l - 13 = i. Suppose 5*z - 14 - 11 = 0. Put q, z, -4 in descending order.\nAnswer: z, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 41 + 4 + 108*h + 102*h**2 - 202*h**2 + 103*h**2. What are the prime factors of v(-37)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x. Let p be c(2). Suppose p = -3*z + 11. Let o be (-36)\/15*(-10)\/z. Solve 0*g - 4*g = o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378407, -378409, -378411, -378413, -378415?\nAnswer: -378417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + f**4 - 4*f**4 + (-f**2 - 2 + 2)*(f**2 + 0 + 0) + 2*f - 2*f + 2*f**4 - 3*f - 2*f**4 + 3*f.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.1939 centimeters to kilometers.\nAnswer: 0.000971939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101110001011010010 (base 2) to base 13.\nAnswer: -1bc95c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:26 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 + 5*r*x**3 - 222*r*x - 5*x**3 - 62*x**2 - 2 with respect to r.\nAnswer: 6*r**2 + 5*x**3 - 222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 597 or 316591\/529?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -383\/4. Let -k*n**2 + 0 + 1\/2*n**3 - 1\/2*n + 5\/4*n**4 = 0. What is n?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136503 (base 7) in base 5?\nAnswer: 1320231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -o + 2, o + 13 = 4*m - 3. Solve -6 = -m*c, 0 = -2*n - 4*c - 0*c + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/3, -0.308, -20\/559, 1, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(228)*-2 - (-3*(2*sqrt(228) - sqrt(228)) + sqrt(228)))\/(sqrt(108)*2*-1).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1066 - 25*m + 1066 + 1 - m - 1 + (4 - 5 + 3)*(-3*m + 4*m - 3*m) + 3*m - 14*m + 2*m + (-6 + 2 + 2)*(-1 + m + 1).\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*((u**(-1)*u)\/u)\/u)**(-27)\/(u\/(u**(-1)\/u))**(-5\/6)*(u**(-3)\/u**3)**29 assuming u is positive.\nAnswer: u**(-343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1099875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*1\/(-2))\/((-4)\/(-96))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 - 21*z - 102. Let w be l(-17). Let f = 1 - -1. Suppose -w = -12*t + f*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 12 + 3. Let m be (2 + 1)*(y + -4). Let g = 12 - m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14476 + 22265. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1078*v**3 + 15*v**2 - 121*v + 2. Let g(m) = 539*m**3 + 6*m**2 - 52*m + 1. Calculate 7*g(k) - 3*h(k).\nAnswer: 539*k**3 - 3*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -590 + 1039. Suppose -5*s - b + 4301 = 4*r, 3*s = -12. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*t**2 - 1 + 1 + 253*t**2 to a + n*t**2 + c*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*l**4 - 2*l + 247.\nAnswer: -216*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/3 - 2\/3. Suppose 0 = -z*h + 5*i + 65, 2*h + 0*i - 38 = -i. Let d be 2295\/75*((-1)\/(-5))\/((-6)\/(-50)). What is the highest common divisor of h and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) + 14\/(-63). Let y(m) = -m - 3*m + c*m + 6*m. Let p(b) = -3*b**2. Give y(p(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (7 - (2 + -29))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 14*c - 8*c + 90*c**2 + 36*c.\nAnswer: 90*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 52 = -20*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a835 (base 13) to base 16\nAnswer: 5b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -54776119991136.\nAnswer: -54776119991141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1013, -1510, -2023, -2558, -3121?\nAnswer: -3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4492831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7159 - 7054. Solve -12*h - f = -165 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277 - -732. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 2*t + 1\/3*t**3 + 0*t**5 + 0 + 0*t**4 + 0*t**2 + 2\/15*t**6. What is the second derivative of o(d) wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 10*a**2 - 31*a + 206. Determine b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -l - 144 + 151, 3*l - 5*g = 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12936842.\nAnswer: 2, 29, 223049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*p + 20 = 0, -4*w + 2 + 18 = 4*p. Which is bigger: w or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**13))\/b*b)\/b**(-1\/17))**(-19) assuming b is positive.\nAnswer: b**(4180\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4235, 4229, 4223, 4217, 4211, 4205?\n\"Answer: -6*s + 4241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 11. Let m be -2*(45\/(-6) - 2). Let w = 11 - m. Let s be c(w). Solve 1 + 11 = s*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210043 + -3?\nAnswer: 210040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 10)*15\/2. What is the third derivative of n*z**2 + 3*z**5 - 14*z**2 - 11*z**5 wrt z?\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-44)*((-60)\/90)\/(15\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.159 * -0.3\nAnswer: -0.3477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 345*t**2 - 705*t - 355.\nAnswer: 5*(t - 71)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 3 - 1 + i. Let c be r(3). Let m = -475 + 476. What is the highest common divisor of c and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -651, -644, -509, -168, 457, 1444?\nAnswer: 2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/24 and 149\/10920?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -37*z - 45 + z**3 - 17*z**2 + 34 - 21*z - 21 - 25. Is x(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271 + -270. What is the nearest to 0 in u, 2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k - 1 - k + k + 2*k. Let u(s) = 3*s**2 - 15*s - 3. Let p(w) = 5*i(w) + u(w). Suppose p(o) = 0. Calculate o.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 12*g + 37)*(-2 + 0 - 3 - 2 - 2 + 1 + (6 - 4 - 3)*(-4 - 2 + 5) - 2 + 3 + 0 + 3 - 1 - 3)*(4 + 3*g - 4).\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4\/(q*q**3)*q**4\/q**(4\/5) assuming q is positive.\nAnswer: q**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112396.\nAnswer: 2, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-19071)\/(-4238) - 350\/4\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*s + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(1571\/(-144)). Let q = -4704713\/9426 - o. Let j = -503 - q. Calculate the common denominator of 23\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)*2*-1 + (sqrt(572) + sqrt(572)*1)*1)\/(3*sqrt(1331)*1 + sqrt(1331)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-7 + 1 + 1)*(0*p - 113*p**2 + 0*p + 302*p**2).\nAnswer: 1890*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-48))\/(((-36)\/3)\/(-900)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4 - (-3)\/(-2). Let y(o) = o**2 + 3*o + 2. Let h be y(x). Suppose 5 = -h*f + 51. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-100)*45 + 43.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*c + 13*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3458306 (base 10) to base 5\nAnswer: 1341131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 572\/2574 - (12\/2)\/270. Factor 0*u - 1\/5*u**4 + 1\/5*u**2 + 0 + 1\/5*u**3 - g*u**5.\nAnswer: -u**2*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.91 - 0.11. Let a = u + 0.2. Let q = a + -9.5. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*t**3 - 2688*t**2 - 78*t**3 + 2688*t**2.\nAnswer: 344*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 2, g: 4, k: 2, q: 1, u: 2}. Give prob of picking 1 q, 1 g, and 2 z.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 83.5. Let z = -20 - h. What is the second biggest value in z, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*(4 + (-16)\/(-1)). Let d be (-1 - 0)\/(-2 + 15\/p). Suppose -3*v + 3*u = -3 - 0, -d*v - 3*u = 18. Sort 5, v, -1 in decreasing order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-9)*-12*((-2916)\/945)\/(-18).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.8 + 151. Let g = 36 - j. Let h be (-5)\/(-3) + (-2 - -1). Which is the closest to h? (a) g (b) 1\/8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4711 is divided by 3069?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8053, 16157, 24259, 32359, 40457?\n\"Answer: -s**2 + 8107*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 15. Suppose 0 = -0*o - o + x. Calculate the remainder when 10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -48. Solve -2 + z = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/12 - 4)\/(3\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*o - 37 - 34*o**4 + 116*o - 57*o wrt o?\nAnswer: -136*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 115.2674?\nAnswer: 5.76337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -3\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -420, -1679, -3778, -6717, -10496, -15115, -20574?\n\"Answer: -420*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 - w**2 + 5. Calculate i(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011110 (base 2) to base 15.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50\/8 + -8)\/((-11)\/44). Let k = 5 + -8. Let v be 14\/k*84\/(-8). What is the highest common divisor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 26*l**2 + 130*l + 3319. What is u(-25)?\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28059 - 0.08059. Which is the second smallest value? (a) 140 (b) r (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*j - 2. Let v(h) = -7874*h + 8. Let b be v(j). What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39870)\/(-186060))\/(((-42)\/4)\/1).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7736056 and 27928?\nAnswer: 7736056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*1*(-1 - 0). Let w(u) = -u + 3. Let j be w(-18). Let f = j + -26. Sort 1, s, f in decreasing order.\nAnswer: 1, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1709356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(612) + (-1 + sqrt(612) + sqrt(612) + -4)**2 + -3.\nAnswer: -114*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163279 and 623872.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -153*d - 765. Let a be k(-5). Let m(z) be the third derivative of -1\/44*z**4 - 1\/660*z**6 + 3*z**2 + 0*z + 1\/33*z**3 + 1\/110*z**5 + a. Factor m(s).\nAnswer: -2*(s - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111264.\nAnswer: 2, 211, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*a*q**2*u**2 - 54*a*q*u**2 + 35*q**2*u**2 - 49*u**2 wrt a.\nAnswer: -23*q**2*u**2 - 54*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**3 - 2*a**2 - 2*a - 1. Let z be 10\/(-1)*(2 - 3). Suppose 5*y - z = -0*y. What is the least common multiple of h(-1) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -4 (c) 5 (d) 1 (e) 94\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 283\/44170?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l + 60*l**3 - 20*l**3.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -152011.8603 rounded to the nearest one thousand?\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82586216 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-252)\/(-5) + (-8)\/20. Let y = 159 + -236. Let t be y\/22 - (-214)\/4. Is t greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*i**5 - 61*i**4 - i**3 - 16*i**2 + 1646*i wrt i?\nAnswer: 1560*i**2 - 1464*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11362289 greater than 11362289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 85, 6\/17, -3, 605?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5957 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s + 6. Let z = 2 - s. Suppose 2*p - c - 12 = 0, 5*c = -z*p + 19 - 4. Solve 0 = -5*j - 5 - p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1409 + 281 + 340)*((5*s - 3*s - 4*s)*(-3*s + 2*s - s) + (-s + 0*s + 0*s)*(6*s - 4*s - 3*s)).\nAnswer: -3940*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339\/165842 or 1?\nAnswer: 339\/165842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072)*2 - -2*(sqrt(63) + sqrt(252)\/sqrt(4) + sqrt(63)))\/(sqrt(36) + sqrt(36) + sqrt(36)*1 + sqrt(36)\/(sqrt(16) - sqrt(4))).\nAnswer: 30*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 27 = 0. Let w = 3 + t. Let f = -8 + w. Solve -s = -4*s - f*g + 26, 5*s + g = 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040661 divided by 37?\nAnswer: 55153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 10, y: 6}. Give prob of sequence yh.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -81*y. Let i(o) = 23*o. Determine i(m(z)).\nAnswer: -1863*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.179218ug?\nAnswer: 0.000000179218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2 - 6 - 52*j**3 - 59*j**3 + 109*j**3 - 210*j.\nAnswer: -2*j**3 - 210*j - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h - 681. Determine q(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 + -85.85. Let q = -84.99999887 - w. What is q rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 3*n - n + 4*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 196*m - 169*m - 810. Calculate the lowest common multiple of m and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6992879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 11, 18, 5 in descending order.\nAnswer: 18, 11, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 620*j + 20 - 4 = -628*j, 7 = 4*v - 3*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -1139004\nAnswer: 17\/379668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (0\/(-4))\/4. Let t(h) be the first derivative of -h**q - 12 - 9 - h + 11. Let j(c) = -3*c - 2. Give 3*j(o) - 4*t(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t. Let a(r) = -2*r**2 - 103*r. Determine n(a(x)).\nAnswer: -18*x**2 - 927*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 106.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 18 - 2*j - 20)*(29*j - 17*j + 0*j).\nAnswer: 24*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1696684 - -213778769\/126. Let f = 138\/7 + w. Calculate the common denominator of -79\/26 and f.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.997 + 0.7377. Let t = w + 0.26. Round t to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 + 8*r**2 + 8*r. Let a(x) = 3*x**3 + 5*x**2 + 5*x. Let d = 123 - 80. Let c = d - 48. Give c*y(j) + 8*a(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/21 not equal to -441.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/40 + 7*v**4\/24 + 3*v**2. Find the second derivative of j(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -38. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/96*y**4 + 0*y + 0 + 4*y**2 + 0*y**3 + 1\/480*y**5. Factor m(d).\nAnswer: d*(d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.1 (b) 1\/11 (c) 4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from ufuuuuhhf.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246649 is divided by 82144?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/27*((-243)\/18)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c3 - 0?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 32*b - 35*b - 201*b.\nAnswer: -217*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -9. Let i be (-8)\/w + 2\/3. Suppose 0*p = i*p - 24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 126040368*d + 126040367.\nAnswer: (d - 126040367)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2290720 and 104.\nAnswer: 29779360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = k. Let v(c) be the second derivative of c**5\/20 - 2*c**4\/3 + 7*c**3\/6 - 3*c**2\/2 + 2*c. Let h be v(7). Is h >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1501625045 + 2?\nAnswer: 1501625047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x - 6. Let i be x\/(-4) + 11\/2. What are the prime factors of 2\/i + (-106)\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 47?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 39. Let h be j(27). Let w = h - 58. Solve 0 = -2*o - w + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -49. Suppose 0 = b*g - 28*g + 234. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/239382 and 62\/3159.\nAnswer: 2154438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25607996 and 68302.\nAnswer: 332903948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/28 + 1 + ((-28)\/(-308) - 220612\/4312)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 - (9 + (-7 - -4)) - (77 - 20).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96133 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14125 is divided by 1557?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f**(-4)\/f*f*f)\/f))\/f*f**11 assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -3)\/(7 + 16030\/(-2289)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((1 - -1) + -4)*20\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 q when four letters picked without replacement from qqwwwwwwqwjoqq?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**2 + 6*c - 5. Let s(g) = 2*g**2 + 2*g - 1. Let z(b) = i(b) - 3*s(b). Let r(u) = 5*u**2 + u - 3. Calculate -3*r(x) + 4*z(x).\nAnswer: x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 957.881l?\nAnswer: 957881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Let p = -4.9 + u. Which is the smallest value? (a) -0.2 (b) p (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a**2 - 501*a - 33. Give p(-22).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305910.\nAnswer: 2, 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = 2*j, 4*m - 3*j - 7 = 0. Let c = m - -1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 87 = 28*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 35324*s**2 - 211924*s - 142. Give r(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.009 - 0.009. Let v = -3.8 + 3.699. Let y = v - q. What is y rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:03 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1241814 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32906448.8 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*k = 2*i + 16, -5 = 5*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-10) + 26\/(-65). Calculate the remainder when 62 is divided by 6\/j + -1 - (-255)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/43)))**9\/(p*p**(2\/35)*p*p*p*p**17) assuming p is positive.\nAnswer: p**(-32006\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 - 10*g - 10. Let b be w(-5). Suppose -b = -3*j - 2*z + 67, 107 = j - 3*z. What are the prime factors of j?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1650*s**3 - 238?\nAnswer: -4950*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942682 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -16.6, 3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25960.4? (a) 41 (b) -7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 21351543*r - 19 + 21351543*r - 24*r**3 in the form w + k*r**3 + l*r + b*r**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+2303018\nAnswer: 2303017.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35299.\nAnswer: 11, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4\/4 + 19*v**3\/4 - v**2 - 3*v = 0.\nAnswer: -2\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 + 0.098.\nAnswer: 34.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 14. Sort d, -3, 4 in descending order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 2*p + 210, 4*p = -4*s - 384. Let o = p - -497\/5. Factor 8\/5*u + o + 8\/5*u**2.\nAnswer: 2*(2*u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -32342012?\nAnswer: -32342040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t + 3)*(-5 + 5 + t + (-13331 + 14426 - 7409)*(-t - 2*t + t)).\nAnswer: 25258*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 91 and 638\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)\/w)**(2\/13)\/((w\/(w*w**(-1)))\/w**(1\/7)))\/(w\/w**5*w*w**(1\/6)*(w*w**(-6))\/(w\/(w\/(w*w**5)))) assuming w is positive.\nAnswer: w**(6973\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*p + u, 67*u = -4*p + 64*u + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69593\/10 + -6948. Find the common denominator of u and -43\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4642 = 12*v - 23*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*d - 1, 5*x - 3 = 3*x + 5*d. Let r be 6\/8 + (-53775)\/(-300). Suppose 9*l = x*l + r. What is the highest common factor of l and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10598.4946 rounded to the nearest ten?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z. Let i be 32 + (1 + 5)\/(-3). Suppose z*l - i = -3*l. Solve 3*b - 1 = -l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 7*d**5\/60 - 7*d**3\/6 - 8*d**2 + 13. Let t(q) be the second derivative of y(q). What is the derivative of t(b) wrt b?\nAnswer: 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 3. Let w(r) = 75*r**2 - 6*r - 1. Let g(b) = -w(b) - 2*y(b). What is the second derivative of g(p) wrt p?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 64. Let l be a(7). Let h be (-4)\/((-5)\/(10\/4)). Let x(r) = r**3 - r + 6 - r**h - 1 - 5*r**2. Determine x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/19)\/d*d)\/d)\/((d**21\/d*d)\/d*d) assuming d is positive.\nAnswer: d**(-420\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 441 + 2?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((266\/19)\/(-2))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, r: 3, f: 1, w: 2, g: 2}. Give prob of sequence frra.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*t - 8 = 0, -t = -i - 5*t + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692 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: Let d(s) = s - 3. Let a be d(7). Put 5, a, -2 in descending order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246, -2319, -3364, -4369, -5322, -6211, -7024, -7749?\nAnswer: -8374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)\/(0 + 1) + 2. Solve -4*k = 2*v + 86 - 84, -j*v = k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -67. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdw when three letters picked without replacement from rwadar?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2443 + 2455 = -4*s - 5*y, -5*y + 3 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2*-88 - 1. Let r = -173 + h. Solve 3*z - 2*f = -0 - r, 2 = -f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 9. Suppose 3*i + d = 9. Solve 0 = -r - i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-18)*3*1\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/5, 0, 1\/7, 0.078, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjkmm. Give prob of picking 2 n and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/10 - 2*a**4\/5 - 4*a**3\/15 - a. Let t(f) = 0. Calculate f.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44321 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/19456 and 113\/16576.\nAnswer: 5039104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/53? (a) 4 (b) 275 (c) -1.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**2 + 0 - 1\/3*f**3 - 12*f. Let z(o) be the third derivative of o**4\/12 - o**2. Give z(k(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/4, 0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 + 188.9. Which is smaller: h or -9\/13?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114.75 + 1.75. Let d = u - -114. Which is the nearest to d? (a) 0.5 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118416198 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4)**(-42) assuming g is positive.\nAnswer: g**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n - 623. Let j be l(-24). Which is smaller: j or -331?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:20 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 120, 178, 236?\n\"Answer: 58*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:46 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 254094647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a - 91. Let b(c) = -11*c + 59. Determine 7*b(y) + 5*w(y).\nAnswer: 3*y - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107819*j**2*t**3 + 7*j*t**3 + 4836*j*t**2 - 2*j - t**3 wrt j.\nAnswer: -215638*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 - -195. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:48 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 566 + -546. Suppose 511*z + l = 515*z. Solve 13 = 3*j - 2*k, -6*k + 3*k - 10 = z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7 and -321072?\nAnswer: 321072.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpsymzgyg. What is prob of picking 1 p, 2 y, and 1 g?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33027880*n**4 + 446393219 with respect to n.\nAnswer: -132111520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*s**3 - 3*s**2 - 2363*s**3 + 1117*s**3 + 3*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.1 (b) 42 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let r be (2\/6 - i)*-15. Let q(w) = w**3 + 4*w**2 - 6*w - 2. Let x be q(r). Solve -2*o - 5 - x = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89666 and -8?\nAnswer: 717328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 388*x + 202. Is d(6) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25008177079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 701442027 to the nearest integer?\nAnswer: 26485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221 + 203.12. Let n = 20.1 + g. Let r = -0.18 - n. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201552106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nollnnqllkjnnnqqlnqq. What is prob of picking 3 n?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*1142\nAnswer: 1598.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -0.2, -0.78 in increasing order.\nAnswer: -101, -0.78, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1053)*-2)**2 + (sqrt(1053) - (sqrt(1053) + sqrt(1053) + 0)**2*2) + 4 + -2.\nAnswer: -4194 + 153*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1815286 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 48*j = -21*j - 28*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 121. Let l = 311 - 321. Let a = l + w. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1.531 (c) -5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*i + 10 = 0, -i + 25 = -h - 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84890 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 201*c**4\/4 + 37*c**2 + 2*c - 212. Find the second derivative of b(k) wrt k.\nAnswer: 1206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55965 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 14*a**2 + 17*a**2 + 12*a**2 + 10*a**2 to n*a**2 + u*a + x and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r + 11*r**2 + 9*r + 2 - 7*r**2. Let q = 24 + -19. Is v(q) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 323424*a**2 - 241510 wrt a?\nAnswer: 646848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 13*j + 98100. Round j to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(((sqrt(132)\/sqrt(4))\/sqrt(11))**2 - (-2 + sqrt(3) + 0)**2).\nAnswer: -24*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3146 and -3145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243 + 3*q - 528 + 231)*(-28 + 2*q**3 + 28)*(q - q + q).\nAnswer: 6*q**5 - 108*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63104 = 3227*c - 85338 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p + 16*p + 2 + 0)*(-247 - 210 + 555) - 5*p + 0*p + 6*p + (-1 - 1 + 4)*(0*p - p + 2*p).\nAnswer: -193*p + 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 14504.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12628\/5 + -2514. Let x be (7 + -1 - 4) + (1 - -2). Suppose 5*y - 70 = -3*l, 0 = x*y - 3*l - 2*l - 30. Is j > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4 - 5*i**3\/6 + 1027*i - 2. Let b(r) = 11*r**2 - 6*r. What is -5*b(a) + 6*k(a)?\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 661\/(-10) - 9\/6. Let i = g + 68. Determine s so that 6\/5*s**2 - i + 4\/5*s = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 112. Let j be h(9). Calculate the highest common factor of j and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**4\/4 - 2*q**3 + 2*q**2 - 6*q - 215. Find the second derivative of v(g) wrt g.\nAnswer: 6*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 39994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 476 + -1.82.\nAnswer: 474.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39\/86, 5, 2\/11, -4, -10?\nAnswer: 39\/86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k\/k**8)**(-25) assuming k is positive.\nAnswer: k**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*(-24)\/36\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10) - 6\/(-12))*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017230361 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3*w**3 + 156*q**3 - 3*q**2*w**3 - 3*q**2*w + 171*w**2 + 15*w wrt w?\nAnswer: -30*q**3*w - 18*q**2*w + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4\/11 - 2*m**3\/11 - 14*m**2\/11 + 2*m\/11 + 12\/11 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -74\/3. Let o = -62\/13 + 408\/91. Let s = -2.2 + 0.2. Which is the nearest to g? (a) o (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-33) - (-68)\/(-187).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:14 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6872427.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42.8 - 42.327. Let d = -4.473 + a. What is the third smallest value in 2, -0.3, d, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 - -2.54. Which is the fourth smallest value? (a) 64\/5 (b) -5 (c) f (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 5*f**2 - 3*f + 9. Let a be x(-4). Find w, given that 0*w**3 + 24*w + w**2 - 6*w**4 - 12*w - 9*w**3 + 11*w**2 + 3*w**a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/16 + 31*l**3\/4 - 45*l**2 + 6*l + 101. Solve f(w) = 0.\nAnswer: 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1776.3+-2891884642\nAnswer: -2891882865.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27539 divided by 4.\nAnswer: 27539\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9269\/5 + -1848. Let x = -198\/35 + z. Which is the third smallest value? (a) -4 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2096 (b) 109 (c) 5 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -1\/3, 5, -2\/15, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2268725, 2268632, 2268539?\n\"Answer: -93*j + 2268818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.92248 and 2.\nAnswer: -1.84496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**23\/(d*d\/(d\/((d\/(d**(-2\/3)\/d))\/d))*d*d**9)*((d\/d**5)**34)**(-5\/11) assuming d is positive.\nAnswer: d**(2381\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - -1 - (-2)\/(-2). Solve -g - q*j + 3 = 11, 3 = -3*g - 5*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (17 - 0) - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*j - 24 = 0, 3*j - 10 = -2*j. Suppose -2*m = -3*m + 2. Calculate the remainder when w\/6 - 8\/12 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4\/2 - 1263*w**3\/2 + 116583*w**2\/2 - 2656653*w\/2 + 1270665 = 0.\nAnswer: 1, 33, 85, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2952 and 78424.\nAnswer: 28938456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0247 (b) 49 (c) 53\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y + 64. Let s be y*((-3)\/(-2))\/3. List the prime factors of (0 - 2)\/((-1)\/s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8)*f**(-8))\/(f\/f**(-2))**(-1\/50)*(f**(2\/9)*f\/f**(3\/5)*f)\/(f\/f**2)**(1\/29) assuming f is positive.\nAnswer: f**(35453\/13050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 465780 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 912693700 to the nearest one million.\nAnswer: 913000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - t**2 - 7*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-28)*2\/(-3). Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - d - 1. Let w(q) = -7*q**2 + 2*q + 1. Let l(o) = -5*f(o) - 2*w(o). What is l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Let o(d) = -6*d + 0 - t - d. Let g(z) = 12*z + 9 - 9*z + 10*z. What is 6*g(q) + 11*o(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -4 + 7 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*q**2 - 6*q**3 - 42*q**2 + (-2*q**2 + 7*q**2 - q**2)*(-3*q - 2*q + 3*q) - q**2 + 6*q**2 - 2*q**2 - 5*q**3.\nAnswer: -19*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**15\/i)*i)*i\/(i\/(i\/(i*(i**(8\/3)*i)\/i))))\/(((i\/i**(-2\/41))\/i)\/(i*i\/(i**(2\/29)*i))))**(-5\/4) assuming i is positive.\nAnswer: i**(-182195\/14268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t**3 + 1786*t**2 - 1155*t = 0. What is t?\nAnswer: 0, 15\/23, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1024 from 0.2.\nAnswer: 1024.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = -15. Let j be (90*1)\/(u + 4). Let o = j + -33. Solve -2*d - 2 = -o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 891 + -1137. Let y = -257 - d. Let q = -61 - -551\/9. Is q greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110000010100101001010000?\nAnswer: -110000010100101001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, k: 6}. Give prob of picking 1 n and 1 k.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1985081 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-572)\/1496 - 2*4\/68?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*g**5 - 18\/7*g**3 - 4\/7*g**2 + 19\/7*g - 8\/7*g**4 + 12\/7 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -1, -25*m = -3*m - 21*m + 4*b - 11 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 6*(3*sqrt(35)\/sqrt(5)*-4 + 5)*5)*-3)**2.\nAnswer: -34758720*sqrt(7) + 301125924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 1:46 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 5*n + 5*o, o - 1 + 5 = -16 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, x: 8, y: 5}. What is prob of picking 4 x?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + (2 - 4) - (72 - (-39 - -31))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -4 - (-66 + 68).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 503008389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -483 (base 15) to base 8.\nAnswer: -1777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85114104 and 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**3 + 2*x - 2. Let f(k) = 280*k**3 - 75 - 5*k + 38*k + 30*k + 12. Give 63*c(y) - 2*f(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -207845?\nAnswer: -7\/207845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3452510230 to the nearest integer?\nAnswer: 58758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from zobqyzn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:58 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -388?\nAnswer: 7\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 7*d - 15. Let u(g) = -g**2 - 4*g - 8. Calculate -5*u(c) + 3*y(c).\nAnswer: -c**2 - c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445912882?\nAnswer: 2, 222956441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*h**4 + g**2 + 67*h**4 - h**2 + 15 wrt h?\nAnswer: -8*g**2*h**3 + 268*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 12143304234?\nAnswer: 12143304243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**5*s - 6*c**5 - 30*c**4 + 3*c**2*s + 5*c**2 + 2*s wrt c.\nAnswer: 180*c**2*s - 360*c**2 - 720*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - w - 1. Let v(r) = -42330*r**2 - 14940*r - 14940. Give 14940*d(n) - v(n).\nAnswer: -2490*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25.1. Let p be 13\/5 - 12\/20. Suppose -3*x = q + 2*q + 6, -4*q = p*x + 10. Which is the closest to 3\/5? (a) f (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z*((z*z*z**(-8\/9))\/z)\/z)*z)\/(z\/z**(5\/13)) assuming z is positive.\nAnswer: z**(383\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 1045 + 602. Put 5, -4, d in increasing order.\nAnswer: d, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 39756*k**3\/5 + 516837*k**2\/5 + 1669869*k\/5 + 378\/5 = 0?\nAnswer: -7, -6, -3\/13252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*b - 11, -2 = -r + b + 3. Suppose -3 + r = -y. Let d = y - -2. Sort 5, 3, d.\nAnswer: 3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -2\/467, 0.378, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {v: 4, k: 5, g: 5, n: 2, c: 3}.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/32452767 and 53\/26.\nAnswer: 843771942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0 - 2*k**2 + 0*k**2 - k**3 + k + 5*k**2 + 2. Let l be 1*-1 + 5 + -1. Let b be v(l). Calculate the highest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*k + 38 = c, -5*c - 5*k = -80. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -380, -580, -774, -956?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - 1.1. Let i = 0.7 + -5.7. Which is the third biggest value? (a) -0.2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-664)\/48 - 312\/144.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2. Let o(h) = 43*h**2 + 6. Suppose 31 - 46 = -3*l, -t - 28 = -5*l. Let y(b) = 345*b**2 + 46. Let a(c) = t*y(c) + 23*o(c). Determine a(x(j)).\nAnswer: -414*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20901480 by -302920.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -392, -619, -866?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1694371 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - m - 11 = -7*x, x - 3*m = 17. Which is the third biggest value? (a) -3\/7 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 29*s**2 + 5*s - 7. Let l(b) = -43*b**2 - 8*b + 11. Let j(t) = 8*h(t) + 5*l(t). Calculate j(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*b**2 - a**3*b*q - 4*a**3*q - 177*a**3 + 41936*a**2*b**2*q + 44*a**2*b*q + 10*a**2*b - 276*b**2 wrt b.\nAnswer: 6*a**3 + 83872*a**2*q - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 430\/26327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 m, and 1 u when four letters picked without replacement from {o: 4, l: 1, u: 2, m: 1, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/11 + 100676*x\/11 - 2719710\/11 = 0.\nAnswer: -50365, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231437808.\nAnswer: 2, 3, 7, 229601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(432)*-3 - sqrt(432)) + sqrt(432))\/sqrt(9) - (sqrt(48) + (sqrt(48) - (-6*(sqrt(48) + -1))**2 - sqrt(48)))) + -5.\nAnswer: -304*sqrt(3) + 1754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*k**2*o**2 + 2*g*k**2*o - 7*g*k**2*p + 2*g*k*o**2 + 2*g*k*o*p - 298*k*o**2*p wrt k.\nAnswer: 4*g*o**2 + 4*g*o - 14*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(96\/288).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (3 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -717 - -741. Calculate the lowest common multiple of 189 and h.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/4 + -8 - (1 + -5). Let d be 1 + 3*(14 - 1). What is the highest common divisor of c and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411bc5 (base 13) in base 12?\nAnswer: 61253a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b31b (base 12) to base 11\nAnswer: -13694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = -3*x - 14, 3*x = -2*p - 1. Let b be 2 - 5 - (-3 + p). Solve -3*o + b*o = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*u**3 - 6*u**3 + 5*u**3 + (2*u + 0 + 0)*(-2*u**2 + 0*u + 0*u) + 0*u**3 - 4*u**3 + 2*u**3 + (u - 4*u + u)*(u**2 + 4*u - 4*u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-26168)\/(-14248476))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 32. Let z = p - 8. Let j = 0 + -0.1. What is the closest to j in 3\/4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18748 and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**3 + 13*g**3 + 4*g**3 - 56*g**3 - 2*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/381 or 345?\nAnswer: 1\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(2\/(-753)). Let k = r - 504. Is k greater than -253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from vvbj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -b, b - 3*v - v + 18 = 0. Let c be 2*(b\/14 - 0). Let d be 1\/(50\/(-20)) - 14\/(-60). Sort d, c, -1\/2, -3 in ascending order.\nAnswer: -3, -1\/2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(6 + (-2640)\/448)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*a + 10 = 0, -11 = -0*x + 5*x + 3*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 15) in base 7?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3390 and -53\/3390.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -191 + -6 - -3 - 1\/(1\/3). Is c > -1183\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 a factor of 1967065765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o - 6. Is 9 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 111792*u**2 - 619902324*u + 2358807545448.\nAnswer: -4*(u - 2538)*(u + 15243)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*g**2 + 28*g**2 + 17*g**2 + 22*g**2.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67620002*t**2*z - 127*t*z - 2449*t - z + 30 wrt t?\nAnswer: -135240004*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971 + 48*q - 11*q - 13*q.\nAnswer: 24*q + 971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 10512?\nAnswer: -10503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106680 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -71 (b) 5\/24 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, and 1 s when three letters picked without replacement from nnrrsrsndrdrddd?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50, 24, -20, -82, -162, -260, -376?\n\"Answer: -9*b**2 + b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/3223059 and -43\/4347.\nAnswer: 29007531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.6 - 10. Let r = 0.1 - k. What is the second smallest value in -1\/5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 + 686 = 1075*u + 115 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -22. Solve 8*f - 3*f - 2 = -4*h, 2*f + 3*h = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 20. Which is greater: 1.6 or p?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/16)\/(-1))\/((-1625)\/(-52))\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19563, -20418, -21861, -23892, -26511, -29718, -33513?\n\"Answer: -294*f**2 + 27*f - 19296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 37 = 6*h + 59 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -8, 80, 224, 424?\n\"Answer: 28*b**2 - 52*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74658194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3\/4 (b) -2\/19 (c) 0.5 (d) 4.38362 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 17}. What is prob of sequence mms?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117260225 divided by 4690409?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6314 less than 43942?\nAnswer: 43933.3686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h - 19*h + 5*h in the form x*h + z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/(v\/(v**(-2\/3)*v))*v**(-3\/2)\/v*v\/v**(-1\/3))\/((v\/v**(2\/7))**48)**(19\/4) assuming v is positive.\nAnswer: v**(-6917\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91648 is divided by 10182?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -2.5. Let d = 8 + -8.3. Let z = 0.2 - d. What is the second biggest value in z, h, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 50. Calculate the remainder when 147 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127653632.9914 - 5868.0086. Let q = y + 127659502.06999951. Let a = 1.07 - q. Round a to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -36. Let u = o + 65.0000003. What is u rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 15*w + 11. Let i be d(8). Solve -17 + i = -5*s + q, -12 = 2*s + 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*sqrt(84))*-6)\/((sqrt(192)*-1 - sqrt(192)) + sqrt(192)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 8*w**2 + 9*w + 2. Let t be r(-9). Suppose -3*a + 23 = 3*q + q, 2*q + 5*a - 29 = 0. Factor -2 + 10*c**q + 2*c + c**t - c**2 + 6*c**3.\nAnswer: 2*(c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 734*(-25)\/(-130) + 4\/(-26). Suppose -v*b = -145*b + 480. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6286668 and 2312?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 905227\/6 less than or equal to 150871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + f - 2)*(-f + 2*f + f + f - 7*f + f + (-5*f + f + 2*f)*(0 - 2 + 1) - 1 + 1 + 2*f + 2*f + 0 + 0)*(1 - 2 - 1).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/2*8\/(-3). What is the common denominator of (-26)\/4 - 0\/2 and 18\/l + 3\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2400 - 4334513?\nAnswer: -4332113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195)*-2 + sqrt(195) - sqrt(195))\/sqrt(5)*-2)\/(sqrt(21)\/((sqrt(140)\/sqrt(4))\/sqrt(5))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = 13*k + 15*k. Solve k = -3*n + n + 2, 5*n = z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.736 * -0.583655\nAnswer: 0.42957008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbq when three letters picked without replacement from qqmbqqkqbqqmqqqqqqq.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:49 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2. Let o(p) be the first derivative of -2*p**3\/3 + 20. Give o(a(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e477 (base 15) to base 5.\nAnswer: -3021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + c8c0?\nAnswer: c8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.039249 + 17.031. Round k to four dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 207 = -0*j - 5*k, 5*j = -5*k + 510. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 634.57 - 643. Let r = -0.77 + b. Let s = -10.34 - r. What is s rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*g = 8174 - 364 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 18454 + 22220. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-8 + 4)) + 1. Suppose q*u - 63 + 23 = 0. Solve 0 = -n - n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553*(-1)\/(-21)*450\/(-150).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05389 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-12) + (-1)\/4. Let f(c) = c + 1. Let l(m) = -m**2 - 2*m - 2. Let x(h) = 2*f(h) + 2*l(h). Let b(s) = -2*s**2 - 2*s - 3. What is t*x(k) - 3*b(k)?\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a. Let m(k) = -8*k**2 + 4*k + 2. Let u(g) = -18*g + 3 + 2 - 1 + 16*g. Let b be u(5). Give b*j(w) + m(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328035203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 66*c - 2 = 33*c. Let w(l) be the third derivative of 0*l - 1\/6*l**4 - 1\/2*l**3 + 0 + 15*l**c. Give w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -19 - (-23 + 3) - -18. Solve -18 = -14*w + u*w + m, 0 = -4*w + 3*m - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32949912 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 - 8*d + 9. Let n be k(-4). What is the greatest common divisor of 200 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006286 to 7 decimal places.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 855 and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19 - -51)\/5 + -9. Solve -11*c = 27 - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -13*k + 15*k. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3 + 6, -3*h = -s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**1)\/z)\/z**(-2\/3))\/(z\/(z\/(z*z**(-1)*z*z))*z**(-2\/13)*z)*(z**4\/(z*z*z**(-2\/17)))\/(z\/((z**1*z*z)\/z))**(-18) assuming z is positive.\nAnswer: z**(-11312\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11409 and 27.\nAnswer: 102681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 + -95. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91910 to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1628*r - 1626*r - 76 - 1632*r - 148 + 4*r**2 + 4884*r.\nAnswer: 4*r**2 - 2*r - 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/5 - 134*w**4\/5 - 4068*w**3\/5 + 5656*w**2 - 7840*w = 0 for w.\nAnswer: -70, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39846 = -33*u - 39714 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -51.1. What is the nearest to r in 0.06, -3\/7, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/16 - (-22)\/11\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*w + 541, 3*w = -22*p + 19*p + 405. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -192. What is the second derivative of -j + 19*g - 26*g - 25*g + 91*g**2 + 149 wrt g?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15 - 6897*o - 7 + 39 + 24. Is d(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 29736*p**2 + 29727*p + 59466.\nAnswer: 3*(p - 9911)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62472730 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.431 + 142.831. Let l = f + -111.47. Let v = l - 30. Sort v, -2\/7, -0.3.\nAnswer: -0.3, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8\/17 (c) 668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671 + 18*t + 544 - 1725 + 775.\nAnswer: 18*t + 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14322, 14340, 14358, 14376, 14394?\nAnswer: 14412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 11) to base 8.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444738, 444729, 444720, 444711, 444702?\nAnswer: 444693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-4)*u)\/(u\/(u*u**(-15\/4)\/u)))\/((u*u**(2\/23))\/(u**18*u)))**(5\/12) assuming u is positive.\nAnswer: u**(9275\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 648 = 2*u - 0*d, 5*u - 1597 = d. Calculate the greatest common divisor of u and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1091, 1071, 1047, 1019, 987?\n\"Answer: -2*p**2 - 14*p + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6467 or -0.5?\nAnswer: -6467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-87)*240\/(-820).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115428625286 + 115429943732.99998. Let d = k + -1318434. Let i = d - 13. What is i rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*d - 6 - 2, 5*u = -4*d - 20. Suppose w = -3*w + 40. Suppose 5*z - w + d = 0. Solve 0 = -i + 2 + z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/8 in 3\/4, -3, 6796?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:24 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*q - 4 = -18*z + 32, -2 = -z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j + 1. Let w(u) = -9*u**2 + 4*u - 1. Let a(t) = 6*v(t) - w(t). What is the tens digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 18*b - 35. Calculate m(24).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p - 27*p = -19758. Solve -3*y = p - 204 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10146*p**2 + 322*p + 963. What are the prime factors of r(-3)?\nAnswer: 3, 11, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*p - 110 + 124, -33 = -2*t - 7*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -45. Suppose 3*o = -2*g + 17, -2*g - g + h = 2*o. What is the third derivative of -2*p**6 + 0*p**6 - p**6 - g*p**2 wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 0*h**2 - 2*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(272) + -2 + sqrt(272) + sqrt(272))**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -16\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7226*a + 6174*a**2 - 7877*a**2 + 5868*a**2 wrt a?\nAnswer: 8330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, o: 1, j: 12}. Give prob of sequence jo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*86\/6. Let j = c - -22. What is the nearest to 0 in 5\/4, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002496 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 1051, 2327, 4097, 6355, 9095?\nAnswer: 12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*b = -29, -4*l + 2*b + 0 = -14. Suppose -5*s = p + 6 + 2, -2*p - 1 = -l*s. Let h = s - -1. Sort -4, -3, h in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -8, -13277097 in ascending order.\nAnswer: -13277097, -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.3.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 - 477*l\/7 + 3828.\nAnswer: -3*(l - 44)*(l + 203)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**2 + 3188*g - 3188*g + 657*g**3 + 24 wrt g?\nAnswer: 3942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/8*(-12)\/3. Suppose -2*w + h*w = 20. What is the units digit of 8\/w - 38\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 372. What is the greatest common divisor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-4 - 0 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 4346*n**2 + 1419992*n - 2822616.\nAnswer: 2*(n - 1773)*(n - 398)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 (base 12) in base 14?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5826 - 5?\nAnswer: -5832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 5*z**3 - 5*z**3 + 2*z**3 + 2 - 2 + (-2*z**2 + 6*z**2 - 2*z**2)*(0 + 0 + 2*z) as l*z + k*z**2 + p + h*z**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3a27446 (base 12) to base 16\nAnswer: -af7bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let w(r) = -1817996*r**2 - 320*r. Give w(x(q)).\nAnswer: -7271984*q**2 + 640*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2431 - -2430.989885. Let s = 0.516 - 0.506. Let m = w + s. What is m rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 8142*f**2 - 5414187*f + 1061507268.\nAnswer: -3*(f - 1836)*(f - 439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**4 - 1145*v + 24219.\nAnswer: -4*v**3 - 1145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 10*v**2 - 89*v - 4. What is a(-7)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 - 496\/(-12). Solve 5*m + h = 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjaay. What is prob of picking 2 y and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291163703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let z(k) be the second derivative of -7*k**4\/3 + 35*k. Determine z(q(b)).\nAnswer: -112*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -33. Calculate the remainder when 16 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1380 and 129\/1840.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309.\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65949083?\nAnswer: 757, 87119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 27. Suppose 0 = -5*c + 5*i + 160, 2*c = -4*i + 81 - 23. What is the remainder when c is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2 + 3 + 2 + 3 - q**2. Let j be g(0). Solve -o + 3*o = j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 2*y + 4. Let o be s(0). Solve 3*f - 4*a + 1 = -30, -3*f + 1 = o*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64795970 divided by 5?\nAnswer: -12959194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**3\/2 - 35*r. Let i = -26 - -23. Determine p(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (41 + 1)*(5 - 87\/21) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.9 times -3\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 2, d: 2}. Give prob of picking 2 r and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.98 - -4.88. Let x = -0.7 - 1.1. Let v = i + x. Are v and -27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -283.2 and 492600319?\nAnswer: 492600602.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/324 and 59\/3756996.\nAnswer: 11270988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 351, 279, 137, -99, -453?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1653 and 66678163.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*h = 14, j - 2*h - 10 = -7*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 147305230\nAnswer: 3\/147305230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7262.9 to the nearest 10.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1160*f*s**2 + 2*f*s + 2*f - 4139*s**2 wrt f.\nAnswer: -1160*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let o be f(5). Let d be (o\/10)\/(5\/25). Let c = d + 7. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*-0.7\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -12\/13 (b) 5 (c) 91.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 140, 217, 298?\n\"Answer: 2*q**2 + 67*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6) + 5 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 2*r**4 - 194*r**2 + 6 + 100*r**2 + 93*r**2 as d*r + w*r**2 + i + a*r**3 + k*r**4 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498490753?\nAnswer: 23, 21673511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57794849 is divided by 1674.\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.003 - 0.018. Let q = r - 0.819. Let s = -0.83999947 - q. What is s rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*g = -731 + 1621 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)\/w*w\/w**(-1\/6))**(1\/3) assuming w is positive.\nAnswer: w**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, x: 1, z: 2, n: 3, e: 3}. Give prob of sequence em.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 13 = -q - 59, k + 2*q - 18 = 0. Let r(p) = -2*p + 10. Let j be r(4). Find the second derivative of k*h**j - 3*h - 29*h + 48*h wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014572535303 rounded to five decimal places?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4312.888ml?\nAnswer: 4.312888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52948?\nAnswer: 2, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a + 1. Let c(i) = 19*i - 1. Give 5*c(x) + 4*o(x).\nAnswer: 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {y: 1, i: 6, s: 2, z: 2, r: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5557*n**3 + 5594*n**3 + 12 + 13 wrt n?\nAnswer: 111*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832)*-6)**2 - (sqrt(1300) + -1 + sqrt(1300))**2.\nAnswer: 48*sqrt(13) + 24751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/29 in 1\/3, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 20720.\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 + 7*r + 8. Let p be 6\/(-5)*-1*-5. What is w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2190 divided by 146\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) -4 (c) -27 (d) 0.04 (e) -2\/11 (f) 24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/30 - 7*i**4\/24 + 5*i**3\/6 - 7*i**2. Let n(v) = -2*v**3 + 11*v**2 - 5*v + 4. Let w be n(5). Does 9 divide a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6102 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)*h**(-14)*h**(-8\/11)\/h**(10\/7) assuming h is positive.\nAnswer: h**(-1552\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (45 - 48) + -21.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 6\/4 - 162\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42801 + 42800.9. Which is the biggest value? (a) z (b) 0.3 (c) 2\/13 (d) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 39. Let r be k(-11). Solve -r*m + 3*h = -m - 25, -3*m - 4*h = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 88 + 21*k + 36*k - 38 - 27.\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43235 divided by 5.\nAnswer: 8647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m**2 + 41300. Let f(t) = -t. Determine f(c(k)).\nAnswer: 11*k**2 - 41300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 - 2*t + 2. Let a be i(2). Let y be (34\/a + -4)*-5. Solve 0 = -y*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 3}. Give prob of sequence ee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/16 (b) 48 (c) 20 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2709 - -5829. Suppose -6*x + u = -x. Let o = x - 373. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 77. Let q = 50 + z. Calculate the greatest common factor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by 341.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 4*j - 452 = -9*l, -461 = 4*l + 5*j. Let t = -264 - -150. Do l and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 17}. What is prob of sequence jjj?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-44 + 10) - 31.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2503\/51 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (-26)\/6. Suppose -2*h = -s*h - 3*b + 549, -4*h + 5*b = -1065. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 282078 divided by -94026?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -13. Let z be ((-3)\/l)\/(2\/24). Let i(c) = c + 6. Let y(h) = 3*h + 17. Let b(j) = z*y(j) - 17*i(j). Let n(f) = 2*f. What is n(b(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 14*k = 0. Suppose 9 = 3*u - 4*q, -2 + 16 = -5*u - 3*q. Which is the closest to -2\/5? (a) u (b) 2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o + 5959 + 5961 + 5961 - 29808 + 5957 + 5963.\nAnswer: -28*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-4)\/12 - -3. Suppose o + 3*o = 0. Solve -5*n = 4*a - 11, o = f*a - 5*n - 2 - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*s*w**2*y**3 + 42371*s*w**2 + 21*s*y**3 + 3*s*y - 4*y**2 - 9 wrt w?\nAnswer: 42*s*w*y**3 + 84742*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 3 = -15*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.82 + -0.14. Let y = -0.04 + g. Let p = y + 5. What is the smallest value in -0.2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 47932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(450\/(-140)))\/((-24)\/(-15) + -2). What is the highest common divisor of 2401 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120039 is divided by 1611?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 - 10 = 0. What is the common denominator of (4\/24)\/(66\/120) and 15\/72 + y\/(-3)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-240)*10\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -77. What is the remainder when p is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + d + 24, 0 = 4*z + 3*d - 2 - 6. Find q such that -13*q + 5*q**2 - 7*q + 10*q + z = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9779550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 d when three letters picked without replacement from {v: 1, n: 3, s: 6, u: 1, d: 4}.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 165288210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008954590 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13573 or 13593?\nAnswer: 13573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 10*b - 11. Let l be p(-10). Let c = l + 17. Let g = -3 - -7. What is the lowest common multiple of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -2*w, 3*g - 2*w - w - 12 = 0. Find the third derivative of 3*i**g + 0*i**3 - 5*i**3 + 3*i**2 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -77, -169, -297?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -12, -7, 0, 9, 20, 33?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*n**5 + 156369*n**4 - 11*n + 167308.\nAnswer: -800*n**3 + 1876428*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62700, 127178, 191656, 256134, 320612?\n\"Answer: 64478*x - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90 - ((-5)\/(-2) - 1\/2). Calculate the highest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -334 - -5012\/15. Let y(z) be the first derivative of -2\/5*z**2 - 1 - b*z**3 + 0*z. Determine k so that y(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 9*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/40)\/(6\/4). Solve -3*m - q*m**3 + 3\/2*m**2 + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(1331))**2 - (sqrt(1331) + 4)**2*5.\nAnswer: -440*sqrt(11) + 14560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 7*h - 4. Let w be g(7). Let d(j) = 9 - 9*j + 3*j - 3*j**3 + 17*j - 2*j. Let v(k) = -k**3 + 4*k + 4. Determine w*d(b) + 9*v(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/84 and -131\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 10) + 201 + -208\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54632 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 886 - 888. What is the closest to -0.1 in 1\/6, 4, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 40214*i**2 - 404251232*i - 808663328.\nAnswer: -(i - 20108)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 12*j - 2*v - 2, -5*v - 5 = 0. Let q(g) = -g + 9. Let z be q(4). Suppose z*s - 21 - 24 = j. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.973 + -16. Let l = -1.973 + r. Which is the third biggest value? (a) -1\/4 (b) 1 (c) l (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 - 1117*v**2\/2 + 21815*v\/2 + 137125\/2 = 0.\nAnswer: -5, 25, 1097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0 - 19\/6*c**3 - 9*c**2 + c. What are the prime factors of j(-5)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t**2 + 11*t + 287 wrt t?\nAnswer: 10*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:17 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676645 divided by 135329.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 715339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -711, 3, -12, -19, 4, -2 in decreasing order.\nAnswer: 5, 4, 3, -2, -12, -19, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.14? (a) -65 (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - 0.09. Let s = 181.4 + -181. What is the biggest value in 1\/3, s, -2, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 1\/((-3)\/15). Let y be 35\/20 + g\/8. Let u be 2 - -5 - (1 + -1). Solve b - k = -b - u, -y*b + 3*k = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92936 and 1.\nAnswer: 92936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:57 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24094904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1512050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a milligram in micrograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-332)\/2)\/(-2)*(8 + -7). Let q = n - -74. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 65*n + 13967 - 13737, 3*w + n - 7 = 7 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2822524783 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -199\/4. Let s be (-8)\/(-28) + (-57)\/(-21). Suppose 0*x = s*x. Do x and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 651.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19909 and 135659.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399423?\nAnswer: 3, 211, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -356, -779, -1356, -2081, -2948, -3951, -5084?\nAnswer: -6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 + s**2\/2 - 3*s + 9. Let j be y(-2). Put -3, -15, j in ascending order.\nAnswer: -15, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (1 - -55) + 4 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21078, -42153, -63226, -84297?\n\"Answer: t**2 - 21078*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.44 (b) 964 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 227085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -131*k + 166. Let t be r(1). What is the highest common divisor of 140 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34835703, 34835702, 34835701, 34835700, 34835699, 34835698?\nAnswer: 34835697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/316 and -145\/23226.\nAnswer: 46452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**4 - 6 - 16*y + 17*y + 12*y**2 + 4*y**4 + 4 to v*y**3 + r + i*y + g*y**4 + j*y**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*i + 4*i**2 - 201*i + 413*i to the form l + b*i + j*i**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -166 and 193.436.\nAnswer: -32110.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 10) to base 7\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/51)\/(-1) - 411656\/(-136) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -627?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(245) + (4 + (sqrt(245) - (sqrt(245) + 2)))**2 + (sqrt(5) + sqrt(80) + -3)**2*2.\nAnswer: -53*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p. Let q be 42\/(-4)*(-9)\/((-18)\/(-16)). Let x = q + -76. Let i(o) = 0*o**2 - 8*o**2 + 3*o**2 - x*o**2. Determine r(i(w)).\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - (-11 + 5 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 10*d**2 + 13*d + 25. Let f be s(-11). Let g(x) be the first derivative of 1\/2*x**2 + 2*x + 1\/3*x**f - 5. Let b(w) = 1. Give -4*b(p) + g(p).\nAnswer: p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -z + 4*i, -8*z - 156*i = -160*i - 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 18 = 2*o. Let l = o + -9. Let k = 0 - l. Which is smaller: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = -5*b, -2 = 2*b + r - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 412478037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*b + 4757. What are the prime factors of b?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 95*q**2 + 1990*q + 1783. What is u(-20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -0.2251 (c) 27\/2 (d) -2\/129 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/5 + 15\/(-25). Let d be (-18)\/4*u\/(-3). Solve 0 = 5*h - 2*l - 7, -d = 2*h - 3*l - 0*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/720 - 23*q**5\/60 + 15*q**4\/4 - 134*q**3\/9 - 6*q**2 - 13. Factor t(l).\nAnswer: (l - 134)*(l - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-1 - -2))*(-86)\/(-172). What is the nearest to u in -0.2, -2\/15, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-33))**(-3)*((d*d*d**(39\/2))\/d)\/d*d**(-33)*d assuming d is positive.\nAnswer: d**(173\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*p = 35, 7*b - 37 = 2*b - 3*p. Calculate the remainder when 14 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2227*t + 0 - 1139*t - 1131*t + 0. Let p(n) = -5*n + 3. Let i = -4 - -1. Let m(g) = 16*g - 10. Let s(h) = i*m(h) - 10*p(h). Give s(v(b)).\nAnswer: -86*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(10\/(-124)*(-12)\/15). Suppose -26*w = -g*w. Put -4, 4, w in ascending order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26261 (base 9) to base 13\nAnswer: -80a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/12, -0.2, -14 in increasing order.\nAnswer: -14, -1, -0.2, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 2, j: 5}. What is prob of picking 2 w and 2 j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709076, -709087, -709098, -709109?\nAnswer: -709120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 37723708\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*c**2*w**3 + 18*c**2*w**2 + 285*w**3 + 3*w**2 wrt c?\nAnswer: -24*c*w**3 + 36*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 11:41 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) - (((2*sqrt(152))\/sqrt(8) - sqrt(19)) + sqrt(19))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 478 + -478. Let i = 2 - -3. Which is the nearest to o? (a) -0.1 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:17 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1601812, 3203596, 4805378, 6407158, 8008936, 9610712, 11212486?\n\"Answer: -i**2 + 1601787*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 12*f**2 - 5*f - 15. Suppose -5*r + 19 = -41. Suppose -4*d - 36 = r. Let b be o(d). Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/48 and -71\/2508.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*s + 27, t = -4*t + 3*s + 30. Suppose t*b = 8*b - 60. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/20*4 - 44\/110. Suppose -r = 4 - 8, s = -4*g + r + 932. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/14995512 and 127\/357036?\nAnswer: 14995512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11011100100001001111 (base 2) to base 5\nAnswer: 212400442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8599386.69 rounded to the nearest one thousand?\nAnswer: -8599000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(3\/(-36)*-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.087 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 371376716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-88)\/20*10\/(-4). Suppose -t - 5*f - 20 = 0, t - 3*f + j = -9. Let s be 86\/(-18) - t\/(-90). Is s > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in 0.2, 2, -18.74, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -4*g - 5*n, -2*n - 17 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 54\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 4 (b) -0.9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (237\/(-1501) + 447\/(-57))*5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11578988\/15 or -771933?\nAnswer: -11578988\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4069, -8110, -12105, -16036, -19885?\n\"Answer: 3*p**3 + 5*p**2 - 4077*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 29*z**3 - 4*z**2 - 7*z + 1. Let r(w) = 58*w**3 - 7*w**2 - 12*w + 2. Determine -7*k(g) + 4*r(g).\nAnswer: 29*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 513.641 millilitres?\nAnswer: 0.513641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2742864 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734419.413 milliseconds to weeks.\nAnswer: 0.0012143178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {j: 4, b: 6, d: 4, e: 1, m: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:01 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*i - 15, -5*f + i = 3*i - 10. Solve 3*h + 3 = w - 5*w, f = -h - 4*w - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 14 + 10. Suppose -5*n - 5*t = -100, -n + 0*n + 5*t + 20 = 0. What is the remainder when n + -1 - (2 + 1) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from cml?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8*(-24 - -20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 45*j = 113, -227*x - 2*j + 17 = -228*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/(b*b*b*(b\/(b*(b\/(b*b\/(b\/b**(1\/2))*b))\/b))\/b))\/((b*b**(-2))\/b**(-3)))**(-2\/7) assuming b is positive.\nAnswer: b**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y**2 + 6*y**2 - 9*y - 2*y**2 - 5 - 5*y**2. Let b be z(-5). Suppose 0 = -13*c + 10*c + b. Solve k + 2 = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 0.3?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -0*u + 3*u + 7, -4*u + 4*b + 12 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a3 - 1211?\nAnswer: -102a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 25 = v, v = -4*v + 2*q + 10. Let z = 1 - v. Solve -2*i + z = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 934*f**2 + 362928*f + 360482*f - 717575*f + 4890*f**2 wrt f?\nAnswer: 11648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24939)\/(-18))\/(2\/68). Let i = u - 13144. Suppose -5*n + i = 463. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m**2 + 3*m**4 + 18*m**2)*(-3*m + m + 0*m) + 5*m + 3*m**5 - 5*m - m**5 + 10*m**5 + 3*m**5.\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 5*k + 5. Let n(w) = 3*w**2 - 4*w - 4. Let d(b) = -5*n(b) - 4*s(b). Let p(x) = 16*x + 3. What is p(d(l))?\nAnswer: 16*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3926156 to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287489 is divided by 1310?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -39*t**3 - 4*t**2 - t - 1. Let o = 90 + -86. Let a(f) = -79*f**3 - 7*f**2 - 2*f - 2. Let j(h) = o*a(h) - 7*q(h). Does 7 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*w = -34 + 23, 5*y + 4*w + 25 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-0.0279.\nAnswer: -0.6417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 16 = 12*f. Suppose -9*j = -f*j + 80. Suppose 9*k - j = 4*k. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 286 = -261 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43338 (b) 2\/9 (c) 0.5 (d) -0.2 (e) -0.3 (f) 1 (g) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/5, -2, 0.5, -4, 45 in increasing order.\nAnswer: -4, -2, 0.5, 36\/5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 11*2\/(-2). Let y = j + 18. Suppose 4*s + 156 = 2*u, -75 = -u + y*s + 3. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6060327 and 39.\nAnswer: 6060327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(301\/129)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -3*sqrt(70)*-2) + (-1*sqrt(70) - sqrt(70))*2)\/(sqrt(60)\/(1*sqrt(30)\/sqrt(5))) + 2.\nAnswer: -9*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-96)\/30 + (-2)\/30*-3. Let i(j) = j**3 + j**2 - 3*j + 3. What is i(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - -749)*(1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 + -9)*(-1338)\/(-54)*-6. Sort 1\/8, r, -2\/7.\nAnswer: r, -2\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 2*m**2 - 2*m**2 - m**2 - 48624*m**3 + 48626*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -220120 (base 3) to base 4\nAnswer: -22113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = o - 13, -8*p + 5*o = -9*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/4)\/(6\/4))\/((-1584)\/(-19008)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 7*z + 6. Let g(r) = r**2 - 8*r + 4. Let n be g(8). Give l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/104 + (-524)\/(-32). Solve u + m = -3*p, 21 = 149*u - 150*u - 4*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*g - 700 = -403*g for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:55 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-3))\/n)*n*n**(-2\/15)\/n)\/((n*n**(-3\/7)\/n)\/(n\/((n\/n**4)\/n))) assuming n is positive.\nAnswer: n**(976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2\/3*u**3 + 4 + 3\/4*u**4 + 0*u + 0*u**2. What is the third derivative of w(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-135 - -122)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.8 + -17.3. Which is the closest to -0.1? (a) 23\/2 (b) w (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w = 67*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-21)))\/f**(-5\/9))**(-7\/4) assuming f is positive.\nAnswer: f**(-679\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9243 + 1.7?\nAnswer: 5.6243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3 (c) 5 (d) 3 (e) -22.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1375*v = 803*v + 63 - 63 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1020\/41310 + (-33728)\/1296.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 972 = 738. Calculate the highest common factor of m and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 16*t + 90. Let p(y) = 36*y - 181. Determine -4*p(d) - 9*z(d).\nAnswer: 9*d**2 - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 1894856*l + 56849280.\nAnswer: -4*(l - 473744)*(l + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -352\/7. Let m be 0 + 3 - 3\/3. Solve 2\/7*f**m - 4\/7 - j*f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {n: 1, p: 5, i: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-3 + -3*5*(3 + 2*sqrt(396) + -1*sqrt(396) + -4))**2).\nAnswer: -8640*sqrt(11) + 356964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 90*b**2 + 7*b - 5*b.\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1944574840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)\/(d*d**41*d))\/((d\/(d**(-2\/39)\/d)*d)\/(d*d**(29\/5)*d*d)) assuming d is positive.\nAnswer: d**(-12139\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 7\/2 (b) -1 (c) -25.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-41))**24\/((z**1)**(-8\/15)*(z**(2\/7)*z)**(-2\/3)) assuming z is positive.\nAnswer: z**(25976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*k**3 - 161*k**3 - 39*k**3 - 90*k**3.\nAnswer: -466*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3776014 to the nearest one thousand.\nAnswer: 3776000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116157, -116148, -116127, -116088, -116025, -115932, -115803?\n\"Answer: h**3 + 2*h - 116160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 1.6. Let n = f + -3.5. Let z be (-24)\/(-45) - 2\/6. Which is the closest to -0.2? (a) n (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210576?\nAnswer: 2, 3, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30927930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 98*f**2 - 58*f - 497. Is r(-62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531574429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 714.0687 - 0.0687. Let a = d + -714.383. What is a rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -125. Let t(x) = -x + x + x - 7*x + 10 + 3*x. Determine t(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 292052944, 584105891, 876158838, 1168211785?\n\"Answer: 292052947*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -61. Let c be 60\/(-40)*w\/(-6). Find the common denominator of (7\/14)\/((c\/13)\/(-1)) and -91\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x**2. Let t(o) be the second derivative of -1\/4*o**4 + 14*o + 0*o**3 + 0 + 0*o**2. What is f(t(q))?\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 not equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjpg when four letters picked without replacement from {j: 1, p: 2, g: 2, n: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.908239 kilometers to centimeters.\nAnswer: 790823.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2*b + b**2 + 2*b) + b**2 - 3*b**2 + 5*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 21*t = -93*t + 2288. Solve 3*c + 46 - t = -4*f, 4*c = 2*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose -v = -g - 5, 2*g + 3*v = 11 - 6. Calculate the remainder when (1\/1*g)\/(18\/(-3141)) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1504 - -2948.\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57018.\nAnswer: 2, 3, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiqqzqzziqqq. What is prob of sequence zqzq?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 99 times -0.3\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/23 - 28*u\/23.\nAnswer: 2*u*(u - 14)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3513 or -3515?\nAnswer: -3513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*x - 44, -273 = -4*x + 4*v - 193 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 3*j + 4*s = -28, 4*j - 3*s = 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -5 (b) 1 (c) 2 (d) 10046 (e) -4 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100010000 (base 3) in base 8?\nAnswer: 732226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*z + 4 + 8, -2*h - 18 = 4*z. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.6 - 57. Which is smaller: g or 0.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -d - 4*d - 117896, 0 = 2*s - 4*d - 117902. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fe26 (base 16) in base 15?\nAnswer: -28a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0553046301 to five dps.\nAnswer: 0.0553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h. Suppose -12 = 5*f + 2*j, -5*j = f - 13 - 3. Let y(m) be the third derivative of -m**2 + 1\/6*m**3 + 0*m - 1\/12*m**4 + 0. Give f*y(n) + 3*z(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 365.001376 + -365. Round k to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + 6*(sqrt(125) + ((sqrt(125) + sqrt(125) + 0)**2 - sqrt(125))) + (sqrt(125)*1)**2*2.\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1468016 and 20.\nAnswer: 7340080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 3, 0.09, 5\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390670865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 135 = -4*h, -4*h + 4*j + 26 + 118 = 0. Suppose 7*y - 12*y = -h. Solve -x - 2*x = 4*u + 24, -y = x + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-12 - 3) + 11321 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 20744376?\nAnswer: 1\/6914792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, 94, 8, -5.\nAnswer: -490, -5, 8, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y = -n - 44*y + 7542, 4*n + 4*y - 30120 = 0. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y = 70*y + 81*y - 48 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187018082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6 + (-21)\/(-3)) - 3*-69767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 + 19*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15435 + 15439. Put -6, v, -91 in increasing order.\nAnswer: -91, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27439299?\nAnswer: 3, 23, 71, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*s**4 + 971*s**3 - 3186*s**2 + 572*s wrt s.\nAnswer: 360*s + 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (332\/28)\/(((-30)\/525)\/(16\/(-40))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45*6.89\nAnswer: 310.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22720*z**3 + 45414*z**3 + 43388*z**3.\nAnswer: 111522*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + ((sqrt(176)*-2 - sqrt(176))*-3*1 - (3 + -2 + (sqrt(176) - (1 + sqrt(176))))))**2.\nAnswer: 288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qqbzqngzqgbqnqqqgqq?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182 + 201. Calculate the remainder when 188 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4827990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270462686 and 8.\nAnswer: 1081850744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2. Let k(t) = 2 + 4 - 7. Let s(r) = -r - 3. Let g(m) = -3*k(m) + s(m). Give v(g(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1\/3*6. Let a(s) be the second derivative of s**3\/6 - 7*s**2\/2 + s. Calculate a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/4953753 and 44\/63.\nAnswer: 4953753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oho when three letters picked without replacement from {o: 3, h: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13752 and 1029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/5)\/(4\/10). Let t = -14.48 + 14.88. Which is the nearest to 8? (a) v (b) t (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6746151, 6746162, 6746181, 6746208, 6746243?\nAnswer: 6746286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-30)*480\/320\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 11. Let f(w) = -w - 1. Let c(n) = 6*f(n) + t(n). Let a be c(-6). Let z be (-12)\/(-2) + 15\/a. Solve 2*j + z*j + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a + 10. Let y(m) = 2*m**2 + 11*m + 32. Let w be y(a). Let h be (-9)\/w + 20\/6. Solve l = -k + 6, -1 + 7 = -3*l + h*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*q*z**4 - 5*q*z**2 - 24081*q*z - 40*z**3 - 2*z wrt z?\nAnswer: 1212*q*z**2 - 10*q - 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2622 (b) 9 (c) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 120 (c) 5 (d) 2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**35*(m*(m**3*m)\/m)\/(m\/(m**(-1)*m)))**(-27))**(-42) assuming m is positive.\nAnswer: m**43092","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = v. Let n(l) = -l**3 - 8*l**2 - 2*l - 14. Let a be n(v). Solve r - 6 = -a*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 45*m + 198. What is c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:37 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21020713 divided by 21020713.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (2 + -1 + 1). Let w(n) = -3*n - 5. Let a(i) = 4*i + 6. Let g(z) = 4*a(z) + 5*w(z). Let o(k) = -k + 1. Give x*g(t) - o(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:54 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*a - 639, 70 = -a - 3*b - 65. Let h = a + 240. Round h to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = -u, 2*z + 2*u - u - 11 = 0. Let h be 2\/4 - 6\/(-4). Suppose h*r - 14 = r. Calculate the remainder when r is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1868*a + 1 + 935*a + 0 + 927*a. Let y(l) = -7*l**2. What is y(v(i))?\nAnswer: -252*i**2 + 84*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131559, -131554, -131547, -131538, -131527, -131514, -131499?\n\"Answer: z**2 + 2*z - 131562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1105 + -1089. Let q(b) = -25*b - 2. What is the remainder when q(-7) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1451 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14261?\nAnswer: 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:22 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 126, 1\/4, -7, -1\/5, -14, 93?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + ((sqrt(42) - sqrt(294)\/(sqrt(7) - sqrt(343)))\/(-5*(sqrt(6) + 3*sqrt(6))))**2).\nAnswer: -57257\/2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -31120*m**2 + 27*m - 102. Let c be t(-14). What is c rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6016\/160 + (-154)\/(-35) + (-45)\/15.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 66603 + 135*p - 536*p + 3*p**2 - 57*p - 436*p = 0. Calculate p.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94540, 189141, 283796, 378505, 473268?\nAnswer: 568085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -634 + 3*b**3 + 942*b - 431*b - 2*b**2 + 1028*b + 634 as q*b + h + s*b**2 + z*b**3 and give q.\nAnswer: 1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 35*y = 12. Let b(u) = 2*u**2 - 5*u + 11. Let s(a) = -a**2 + 2*a - 5. Let g(v) = -4*b(v) - 9*s(v). Let w be g(-3). Solve h = w*h - y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74357\/1760 + 3\/1760. Is 41 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1596 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*j = 221*j - 144 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {b: 8, n: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*h**4 + 4746*h**3 + 382353*h**2?\nAnswer: 1296*h + 28476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9257*b. Let g(w) = 66134*w**2. What is g(q(y))?\nAnswer: 5667157968566*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-51)\/6 - -5)*(-80)\/14. Let q be (72\/40)\/(3\/v). What is the greatest common divisor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one fifths of a millisecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/13, 6\/13, 0.2 in ascending order.\nAnswer: 0.2, 6\/13, 16\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341*y**3 - 404*y**3 - 43*y**2 + 43*y**2.\nAnswer: -1745*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26243.\nAnswer: 7, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 198857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 25*f**2 - 15*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 2, -4\/3 in decreasing order.\nAnswer: 2, -0.3, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11608 + 6542. What is t rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -133*t**6\/30 + 11*t**2\/2 + 165*t. Differentiate x(j) wrt j.\nAnswer: -532*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*g = 3*l - 114, 4*g = 3*l - 62. Calculate the remainder when 326 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by 385?\nAnswer: -256\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*h**2*v**2 + 47*h**2*v + 4*h*v**2 - 37*h*v + 3*h + 6 wrt h?\nAnswer: -226*v**2 + 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17706 (base 8) to base 11.\nAnswer: -6125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20004, 40009, 60014, 80019?\nAnswer: 100024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13331 + -1465. Is i a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -10. Suppose -3*r - c + 41 = 0. What is the smallest common multiple of -6*(-1)\/(-2)*-2 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s + 1 - 1 - 11*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26579006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -640950 greater than -640917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5566*a**3 + 2 + 0 + 5567*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/1*(-60)\/(-135)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 27*s + 63. Suppose 5*v + 470 = -27*v - 458. Calculate m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 25?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16292*c - 26 = 16305*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16856105 is divided by 5618694?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/15 + 7378*m**2\/5 - 4083354*m + 61228178\/15 = 0. Calculate m.\nAnswer: 1, 5533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:05 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 + 2\/4*0. Let j(w) = w**3 + 7*w**2 + 4*w + 6. Let l be j(-6). Calculate the greatest common divisor of l and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -83?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 621 - 619. Let f be 1*(-3)\/((-6)\/(-8)). What is the third smallest value in f, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - 4*r)*(-3 + 6 + 1)*(301*r + 63*r**2 - 301*r).\nAnswer: -1512*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3737, 4778, 6513, 8942?\nAnswer: 12065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = m + 4*m + 5, -4*m = 2*t + 12. Suppose -2*s + 0*s = -30. Solve -s = -9*x + t*x, -l + 4*x - 14 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 35. Let h be m(-4). Calculate the remainder when (0 - 134)*(h\/(-2))\/(-13) is divided by 2\/1*51\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0 + 3*g**3 - 11*g + 7\/2*g**2. What is the units digit of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1\/(-2))*-2. Calculate the remainder when 25 is divided by (9 - -1 - -3)\/c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/30 + 3\/40. Suppose 10*y = 5*y - 130. Let h = 27 + y. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (-37 - (56 + -97))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a28522 (base 12) to base 11.\nAnswer: 1488687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, 4*t - 25 = -5*s + t. Suppose -5*c + 3 = -22, 2*w + 19 = s*c. Find the third derivative of -k**3 - w*k**2 - 48*k**6 + 50*k**6 + k**3 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*m - 3507 = -4*t - 126*m, 2*m = 6. What is the greatest common factor of t and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 15*d + 15*d + (1 - 1 - 2)*(2*d**2 - 2*d**2 - 8*d**2) to the form w*d + l + r*d**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-5)*q))\/q*q\/(q\/q**23))**(-46) assuming q is positive.\nAnswer: q**(-1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 + 2*t - 5. Let a be f(6). What is the units digit of (-8 + a)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 37, -15 in increasing order.\nAnswer: -94, -15, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 4*a, 4*a - 4*b + 5*b = 14. Let d(z) = -z**2 + 5*z - 2. Let w be d(a). Let u be w\/(-10) + 3\/(-5). Which is smaller: -2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -33, 63, 213, 435, 747?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 157*r**2 - 2*r + 6. Let q(g) = -g**2 + 1. Let v(k) = l(k) + 2*q(k). Let f be v(-6). Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from {t: 2, m: 2, n: 2, a: 1, h: 1, o: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 58243*p - 58237*p - 2*p**3 + 3 + (0 + 0 - 2*p**2)*(0*p + p - 2*p) + 9 - 3*p**3 - 9.\nAnswer: -4*p**3 + 6*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i + 3*o + 96 = 0, 0 = 4*o. Let m = i - 22. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 19*f. What is the lowest common multiple of ((-75)\/(-9))\/1 - 1\/3 and a(17)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746232272 - 164*d + 5*d**3 + 164*d + 746232272.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002613267388 rounded to five decimal places?\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4710 = 49*k + 1133. Suppose -167 = -4*q + 2*s + 3*s, -2*s + 146 = 4*q. Calculate the remainder when k is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) 1678\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*b + 84*b - 97*b to the form j + t*b and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8486 + -26984\/3. Let r = g - -510. Put r, 4, 0.3 in increasing order.\nAnswer: 0.3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011 + -10000?\nAnswer: 110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 45. Suppose -j = 2*j + 48. Let p be ((-2)\/24)\/((-6)\/j). What is the nearest to -1 in -0.1, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**3 + 4*x**2 + 26*x - 32. Let w be f(3). Which is bigger: w or -58?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i - 6. Let a(y) = y**2 - y. Let u(p) = 4*a(p) + f(p). Let c be u(-6). Calculate the highest common factor of 34 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16 - (-4715)\/287)*(-14)\/6. Which is the second biggest value? (a) 0.3 (b) 3865 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 9*b**2 - 19\/24*b**4 + 0*b**3 + 1\/60*b**5 + 0*b + 0. Find the second derivative of g(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-156)\/46)\/3 - -1. Let x be ((6\/10)\/(-3))\/((54\/15)\/(-18)). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03100156 plus -478.71?\nAnswer: -478.67899844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182.9999838 - 183. What is i rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090594789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.192 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 15 = -27910*p + 27913*p, 5*q - 4*p = 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -20*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*l = -30 - 394, -k + 5*l = -106. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.2 (b) 7\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + 5 + -9)) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79609849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 f when three letters picked without replacement from {a: 1, v: 2, f: 1, y: 1, j: 2, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 6*h**2 - 5*h + 4. Let b be t(-5). Suppose -5*s + b = -1. Calculate the least common multiple of 22 and 11 - (-2 - (s - 0)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1644521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(-4 + (sqrt(1216) + -1 + sqrt(1216) - sqrt(1216)) + (sqrt(76) - (2*sqrt(76) + sqrt(76)))\/sqrt(4) + 1)*-4.\nAnswer: -96*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -16. Let i be (2\/10)\/(2\/5). Let l = -4.5 + 6.5. What is the nearest to l in s, 3\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (4 - 1) + -1. Suppose h = 5*r + 5 + 10. What is the units digit of ((-299)\/39)\/(1\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -113. Suppose -5*j + 10*j - 75 = 0. Calculate the highest common divisor of j and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4 + 2 + 0). Suppose -3*x + 0*a + 11 = n*a, 10 = 3*x + a. Suppose 27 = x*y - 45. Solve -v = 2*r + 3, 4*v + y = 3*r + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22)\/1*6\/(-2220)*-74?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12182 + -12223.808. What is n rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - l**2 + 2. What is the smallest common multiple of (43 - 13)*2\/5 and m(-2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 93876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4426, 4432, 4430, 4414, 4378, 4316?\n\"Answer: -w**3 + 2*w**2 + 7*w + 4418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136166 divided by 1322?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177420420*p**4 + 2*p**3 - 674635820*p**2 wrt p.\nAnswer: -4258090080*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 13. Let d be h(-3). Solve l - 2 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 99918.\nAnswer: -9, -5, 99918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 62238778950?\nAnswer: -62238778949.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 6. Let m(f) = f**3 + 6*f**2 + 4*f + 5. Let r be m(-5). Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let h be (12\/(-15))\/(1\/5). Let c(o) = -78*o - 155. Let a be c(-2). Sort n, h, a in decreasing order.\nAnswer: n, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n**3 + 131608*n**2 - 154667600*n + 44180000 = 0 for n.\nAnswer: 2\/7, 2350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34653 - 21*l**2 - l**4 - 34655 + 67*l**2)*(3 + 0 + 6) to the form k*l**2 + t*l**4 + z*l**3 + q*l + s and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 - 15?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 - o + 3. Let j be l(3). Suppose j = -3*i - 8 - 19. Let v be -76 + 22 + 2553\/46. Which is the closest to 2? (a) i (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 5048541?\nAnswer: 5048538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2 + (-211)\/(881136\/(-14558))?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(234)*4 - (sqrt(234) + 1*sqrt(234))\/sqrt(9))\/((5*-1*sqrt(128) + sqrt(128))*-5).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15948 divided by 3\nAnswer: -5316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13617639?\nAnswer: 3, 7, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001010111011 (base 2) to base 15.\nAnswer: -d855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3429?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 1239*r**2 + 1237*r**2 - 3*r.\nAnswer: -2*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 15, -19, -67, -129, -205?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 78900 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25202\/35 + 720. Sort 1\/4, y, -4 in descending order.\nAnswer: 1\/4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + 7?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3648 divide 466560960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(2) + sqrt(2)*1 + (sqrt(50))**2*-4 + 3.\nAnswer: -189 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3007 = -38*j + 25113. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 26*j**2 + j + 1. Let u be m(1). Suppose h = 4*w - u - 234, -2*w = -3*h - 136. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**3 + f**3 - 139*f**3.\nAnswer: -114*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**2 + 0 + 1\/4*g**3 + 1\/8*g**4 + 26*g. Determine q, given that y(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 128*k + 3272. Calculate the smallest common multiple of o(-25) and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 432\/104 - 12\/78. Solve 4*m = 3*h - 7, 31 = -6*h + h - z*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/3 - 72*d**4 - 11872*d**3\/3 - 7274*d**2 + 58529*d\/3 + 22898 = 0.\nAnswer: -107, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38892 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -18. Let x be 6\/(-2) + m\/(-4). Let q be -5*4\/(-60)*x. Is q > 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16560 and 500?\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*b + 9 = 2, 4*h - 3*b - 5 = 0. Suppose 25 = 3*l + h*l. Suppose l*p - 201 - 124 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4808*r**3 - 580*r - 7.\nAnswer: 28848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -66 - -22 - -23 - -53.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114326583 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 147*p**3 - 666*p**2 + 4524*p - 5160 = 0.\nAnswer: -43, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 1. Let x = 8 - 9. Let r be c(x). Solve 4*p - 2*s = 2*s + 20, 25 = r*p - 5*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, y: 11, k: 5, r: 2}. What is prob of picking 1 a, 2 r, and 1 l?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*d - 20*d**3 - 2 + 11*d**2 + 18*d**3 - 11*d**2 to z*d**3 + u + r*d + w*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 1 + 6*p + 2*p**2 + 2*p**2. Let h be v(-9). Let b = -22 + h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*y - 11, 3*y = -3*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 2, 9, 16?\n\"Answer: 7*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and -29\/272556?\nAnswer: 1362780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t*t\/(t*t\/(t*t*t**(-3\/2))))**34*((t\/t**(-5))\/(t**(2\/5)\/t))\/(t\/(t*t**(-1)))**9 assuming t is positive.\nAnswer: t**(-777\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n + 7. Let w = -15 + 9. Let u = 11 + w. Let q be p(u). Solve t - 4*g - 19 = g, q*g + 9 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/24*(-21)\/(-2). Let k = p + 15. Which is the biggest value? (a) 0.2 (b) -7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43819 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from rdrdrdddddrdnrdrd.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285.14*-1.\nAnswer: -285.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4550\/26209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 9*j - 11. Let r(x) = -5*x + 46 + 7*x - 48. Let a(s) = 2*g(s) - 11*r(s). Factor a(t).\nAnswer: -2*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t + 3*t**4 - 9*t - 2*t**4 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 19, 52, 117, 226, 391?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 - -31. Let g = 270.99999829 - k. What is g rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211012012 + 1?\nAnswer: 211012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 8.85 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25035 is divided by 124?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - 1064\/9. Which is the smallest value? (a) 0.8 (b) y (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (-7 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2358 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4248 + 4457. Calculate the highest common factor of p and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 1. Let l be c(-4). Let a(j) = -8*j**2 - 1. Let o be a(l). What is the units digit of -1 - 4\/(12\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 1620983578.46\nAnswer: 1620983578.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let s = 6 - v. Solve o - 21 = b - 5*b, o - s = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:05 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*q - 15, -4*m - 3*q = -0 + 1. Suppose -4*f - 2 = -2*f + 2*u, 3*f - m = -2*u. Solve -5*t = -t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 11*j**3 + j**2 - j + 0*j**3 + 6*j**3 - 3 + 1 to the form t + c*j**3 + f*j + k*j**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 44 = 4*g, -5*g - 26 - 31 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20623741661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*p - 2*p + 3*j, -9 = -3*j. Suppose 0*h - 5*h = -p*i - 23, 0 = 3*h - 2*i - 13. Solve h*b = -3 + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 116, 129, 156, 203, 276?\n\"Answer: j**3 + j**2 + 3*j + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17*36\/816)\/(9\/(-8)). Which is the third biggest value? (a) j (b) -4 (c) -2\/5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12969 divided by -9.\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -26406.\nAnswer: -5\/8802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-25) + (-68)\/(-20). Suppose -11*c + 30 + q = 0. What is the first derivative of -28 + 79 + 3*b**3 - 42*b**c wrt b?\nAnswer: -117*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) 0.3 (c) 6170881\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 615, 1619, 3067, 4983, 7391, 10315, 13779?\n\"Answer: 4*w**3 + 186*w**2 - 2*w - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 - m. Let o be f(1). Let n be 12\/10*(-5)\/(-2). What is the second derivative of 4*v**5 - 2*v - n*v**o + 0*v wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999203462 > 1999203462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5477669 divided by 176699?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/20*(-3)\/(-9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 464696*s**2 + 61.\nAnswer: 464696*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929627.\nAnswer: 929627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 10*c**2 - 3*c - 3. Let g(o) = -2*o**3 - 21*o**2 + 5*o + 5. Give 3*g(w) + 5*l(w).\nAnswer: -w**3 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -101.96437.\nAnswer: 305.89311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(2)*-4)\/((sqrt(175) + sqrt(7))*-6 + sqrt(7)).\nAnswer: 4*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 equal to -0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 6. Let a be p(-6). What is the hundreds digit of (-7 + 407 + 2)*4\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*s - 50760 = -69*s - 133*s + 42*s for s.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0, 390, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/45*((-381)\/(-889))\/((-2)\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3433425866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + r + 1)*(-10*r**2 + 10*r**2 - 5*r**3).\nAnswer: -5*r**4 + 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -5.2. Which is the third smallest value? (a) v (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-80)*((-5)\/4)\/1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.3 - -139. Which is the biggest value? (a) h (b) -3 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/5 + 4*i**4\/5 - 2*i**3\/5 - 4*i**2\/5 + 3*i\/5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Suppose z = -4*b - 4*i, 0*i = 4*b - 2*i - 12. Suppose 0*n - b*n + 120 = 4*v, -v = 3*n - 30. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*t - 6. Let d(x) = x**3 + 8*x**2 + 8*x + 6. Calculate d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2947*l - 2070*l = -245833 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**2 + 71*o + 36. Calculate s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38148792 to the power of 1\/2, to the nearest integer?\nAnswer: 6176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 - -6?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.62258 to 2 dps.\nAnswer: 15.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -646999817, -1293999638, -1940999461, -2587999286, -3234999113, -3881998942?\nAnswer: -4528998773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -749, -468, 859, 3238, 6675?\nAnswer: 11176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(2 + c - 2) + (7*c - 11*c - 13*c)*(-3 - 2 + 4) to d + h*c and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**2 + 9245*k - 60. Let l(r) = 5*r**2 + 3089*r - 18. Let t(d) = -3*j(d) + 10*l(d). Determine n, given that t(n) = 0.\nAnswer: -631, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3366454 and 698.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 2, l: 5, y: 1, p: 1, v: 1}. What is prob of sequence eph?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((2 - 2) + 1). Let n be 1\/d - 18\/(-8). Suppose -1 + 27 = n*l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.028 and 250.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -954*l**3 - 4*l**2 + 20*l + 18. Calculate q(-1).\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 14}. What is prob of sequence ppp?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*r**4 + 12*r**4 - 31*r**4)*(-r + 3*r - r + 2*r + 0 + 0 - 2*r + 1 - 1 - 4*r + 3*r + 2*r + (-r + 3*r - 4*r)*(0 + 1 - 2) - 5 + r + 5).\nAnswer: -210*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from poooop?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62593020 and 2835.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 638.9999948 - 639. What is m rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p + 118. Calculate z(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43353187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 36)*(-2*u**4 + 0*u**3 + 0*u**3 + 3*u**4 - 3*u**4 - 2*u**4 + (3*u**3 - u**3 + 0*u**3)*(0*u + 0*u - u) + 0*u - 2*u**4 + 0*u).\nAnswer: 336*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*a**5 + 16*a**2 + 3406*a wrt a.\nAnswer: 1080*a**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -20. Suppose 0*x + 28 = -2*z + 2*x, -4*z - 76 = x. Let c = v - z. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54043315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 3. Let w = -2 + 3. Is w less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j*j**(-2\/15)*(((j\/j**(-4))\/j)\/j)\/(j*j\/j**(1\/4)))\/(j**(-2\/17)\/(j**(2\/15)*j)*(j\/((j*j**5\/j)\/j))\/(j**(-2)\/j)) assuming j is positive.\nAnswer: j**(433\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 45. Suppose -k + y = 2*f, -4*k - k + 23 = -f. Suppose -15 - 25 = -k*w - 5*g, w + 12 = 4*g. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3\/6 + 19*u**2\/2 + 70*u. Calculate the remainder when 125 is divided by q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40571*j - 26*j**2 + 121721*j - 40571*j - 40579*j + j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60*(-180)\/2025)\/(((-76)\/3)\/(-2))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5471127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 26 = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 35 = -0*i. Suppose i*o - j = 24, 5*o - 16 = 2*o + j. Find r, given that -2\/17*r**o + 4\/17*r - 4\/17*r**3 + 2\/17 + 0*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 107, 2\/7, 15\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 7. Suppose -3*u - d + 173 = 2*u, -4*u - 3*d + 134 = 0. Let s = 13 + u. Calculate the greatest common divisor of b and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5126.88 to the nearest ten.\nAnswer: -5130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/22)\/c))\/(c*c\/c**(-3\/13)*c))\/(c**(-1)\/c)**(-7\/4))**18 assuming c is positive.\nAnswer: c**(-12294\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 1 + (57 - (22 + 23))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -2. Let x be 34\/8 + (-2)\/8. Solve n = 3*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 38.6. Let g = -0.4 + 0.22. What is the third biggest value in 2, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -25*o**3 + o**2 + 4*o + 4. Let n(k) = k + 1. Give -4*n(g) + y(g).\nAnswer: -25*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:21 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-12)\/56*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 82 = -2*z. Let j = 124 + z. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060163851 to 6 dps.\nAnswer: 0.006016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3330 + -120?\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771.8995 - 888.8994232. Let x = -117 - o. Round x to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {x: 2, o: 1, q: 4, t: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91424 and 51703129?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90 - 4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001 - 21?\nAnswer: -102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.215, 3, -5?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32052*p + 128234*p - 32056*p - 32069*p - 32052*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103152, -101980, -98806, -92628, -82444?\n\"Answer: 167*l**3 - l**2 + 6*l - 103324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 10*u. Let f(l) be the second derivative of 1\/80*l**5 + 0 + 0*l**2 - 1\/24*l**3 + u*l**4 - 2*l. Factor f(g).\nAnswer: g*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:35 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, 5\/3, -71, 0.3 in ascending order.\nAnswer: -71, 0.3, 5\/3, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 20 = 5*o - 3*q, -2*o - 9 = 5*q. Let d be ((-42)\/14)\/((-6)\/o). Does 15 divide 12 - (-3 + 0\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 3*j + 411, 345 = -4*c - 3*j. Let l = c + 106. Calculate the lowest common multiple of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 1373, 2259, 3235, 4301, 5457?\nAnswer: 6703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-7)\/(-4)) + 5 + -18. Let n be (-2)\/((-56)\/(-236)*i - -4). Let g = -49 + n. Solve -g = 5*x, 3*o = -2*o - 3*x - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42397518 and 16213?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (548 + 7*o + 552 - 1110)*(3*o**4 - 3*o**4 + 2*o**4).\nAnswer: 14*o**5 - 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n - 12. Let a be p(7). Solve 3*s - u = -a*s + 4, -5*s - 8 = 2*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -36*x. Let r(n) = -23*n**2 - 6*n - 12. Let u(p) = 44*p**2 + 10*p + 20. Let v(h) = -5*r(h) - 3*u(h). What is v(i(o))?\nAnswer: -22032*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -89287 + 89287 + 3577*z in the form v*z + b and give v.\nAnswer: 3577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*i + 59. Let k = 97\/2 + i. Sort 2, 3, k.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5515.224 to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2046194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(7\/56). Let i be 12\/(-30)*(0 - -60)\/2. Let j = h - i. Which is bigger: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 + 2*f + 6. Let l be r(-6). Let q be l\/(-30) - 4\/(-10). Solve -5*z + q = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 55. Let z(x) = -x + 23. Let w be z(r). Suppose 18*t = w*t + 2524. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0, -3, -1\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105089, -101402, -97715, -94028?\nAnswer: -90341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w. Let a(s) = -s + 2331. Calculate c(a(n)).\nAnswer: 5*n - 11655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -74.\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {o: 1, r: 1, q: 1, m: 4, y: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 662.2 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 19 = 3*c, 2*g + c = 3*c - 6. Suppose 0 = 54*q - 46*q - 24. Sort -3, g, -1, q in decreasing order.\nAnswer: q, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.04*850.8.\nAnswer: 884.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2630\/399 + -118\/19. Let h(g) = g**3 - g**2 + 2*g. Let i be h(0). Is i smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1000100?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 7963975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from iiikjyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v - 85 - 3. Which is the closest to -3? (a) -1 (b) -6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38568 + -38559. Suppose -3*h + 0 = -15. Suppose 5*v = -4*j + 239, -142 + 20 = -2*v + h*j. Calculate the remainder when v is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -1. Let a(y) = -14*y + 73. Let b(t) = -4. Let r(p) = a(p) - 4*b(p). Let u be r(6). Put s, 1, 4, u in decreasing order.\nAnswer: u, 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*7*-2*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 4. Let k be i(3). Suppose 4*x = -2*m + 34, -2*x + 3*x = -4*m + 82. Let b = m - 13. What is the greatest common divisor of k and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/46221 and 1\/131832?\nAnswer: 2031135624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q**3 - 22*q**3 - 2*q - 43*q**3 + (0*q**2 + 0*q**2 - 2*q**2)*(-17*q + 21 + 43*q - 20*q) to the form x*q + z*q**3 + y*q**2 + p and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21) - (-77)\/(-105)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10013194309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let v be g(-5). Let n = v + -15. Put 3, n, -2 in decreasing order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o**3 - 5*o**2 + 262*o + 6. Let x(l) = -2*l**3 - l**2 + 1. Determine g(r) - 5*x(r).\nAnswer: 2*r**3 + 262*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7548 - -12056. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*y = 91*y. Solve 44\/3*f**4 + y - 8\/3*f**2 + 0*f - 20\/3*f**3 - 16\/3*f**5 = 0 for f.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -50. Suppose -x = -2*i - 0*i. Suppose -4*n + 7*n - i = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -140748936.\nAnswer: 1\/46916312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9584*b + 777400 + 228920 for b.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -271, -1771, -3231, -4651, -6031, -7371?\n\"Answer: 20*b**2 - 1560*b + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -678883 minus 0.4?\nAnswer: -678883.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3118 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**21)\/(((y**(-29)\/y)\/y)\/y))**(-15))**(-2\/23) assuming y is positive.\nAnswer: y**(360\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 7*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 37. Let f = 10153 - 10166. Calculate y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*x = 2 + 2, 0 = -5*s + 4*x. Suppose -5*j - 3*d = -11, -s*j - 4*d - 38 + 50 = 0. Calculate the lowest common multiple of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 422 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30386289 and 7?\nAnswer: 212704023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 3*g + 3. Let x(o) = 21*o**3 - 31*o - 31. Let a(d) = -4*d**3 + 6*d + 6. Let v(b) = 11*a(b) + 2*x(b). Give -4*p(h) + 3*v(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110100101 (base 2) to base 15.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.836 + 38.836. Let h = -75 + 37. Let f = h + t. Is -0.016 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*x - 70*x = -o - 763, -3*x = 3*o - 783. Suppose -5*c + 73 = -87. Calculate the highest common divisor of c and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1862981 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11348, 11254, 11098, 10880, 10600, 10258?\n\"Answer: -31*x**2 - x + 11380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3919 - 23581\/6. Let q = r + 155\/14. Sort q, -1, -4\/7 in descending order.\nAnswer: q, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*x)*(-2 + 4 + 0) - 4 + 4 - x + x + 3*x - 2*x - 3*x + 4*x + x)*(3 + 4 - 6).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7758568, 7758567, 7758566, 7758565?\nAnswer: 7758564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280 - 277. Let f(h) = -h**d + 7*h**2 - 11*h**2 + 10*h**2 - 8 + 4*h. What is f(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 times -37207?\nAnswer: 5506636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v)\/((v*v**(2\/7))\/v) assuming v is positive.\nAnswer: v**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182033428 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -133450314?\nAnswer: 133450322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 10374 = -44*g. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/21, -3, -0.2?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 309*(-380)\/(-1506890)*-28*(-10)\/(-12)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26658 is divided by 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001 * 1816.1.\nAnswer: 1.8161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b + 11. Let m(w) = w**3 + 2*w**2 - w - 3*w + 0*w - 3. Let u be m(-3). What is the tens digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292268*i**3*k**2 - 170*i**3*k - 6254*k**2 - 36149 wrt i.\nAnswer: 876804*i**2*k**2 - 510*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1099.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13756 and 76348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115, -102, -89?\n\"Answer: 13*u - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*t - 8 = 0, -3*w + 0*w + 5*t + 4 = 0. Suppose -2*g - 4 = -w*g. Suppose 0*b = -g*b + 24. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z*z**(-2)*z)\/z))**(-14)\/(z\/(z\/(z*z*z\/z**(-7)*z)))**(-17))**(2\/115) assuming z is positive.\nAnswer: z**(346\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, -1\/3, -3 in increasing order.\nAnswer: -3, -2, -1\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -84, -69, -34, 27, 120?\n\"Answer: q**3 + q**2 - 9*q - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29658318721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137\/6 + 23. Let q(r) be the second derivative of 2*r + 1\/2*r**2 + 0 - f*r**3. Differentiate q(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (11 - 11) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00631739 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/2)*z))\/z*z*z)\/z*z**(-5)*z*(z\/(z**1\/z*z*z*z))\/z*z**(-6)*z assuming z is positive.\nAnswer: z**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 11*i**2 - 8*i - 32. Let o = 5756 + -5746. Give t(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454.6000001239 - 454.6. What is f rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12994?\nAnswer: 2, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b + 10*b - 3*b. Let t(w) be the first derivative of -w**5\/20 - w**3 - 4. Let u(n) be the third derivative of t(n). What is o(u(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqbqq. What is prob of sequence bj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33027811.\nAnswer: 89, 371099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7 - 11*h**2 + 36*h - 19*h + 7 - 12*h. Let w(v) = 2*v**2. Calculate f(w(d)).\nAnswer: -44*d**4 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -294\/11?\nAnswer: -294\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -159*z - 346. Let a(c) = -2*c - 2. Let i(p) = -a(p) + d(p). Let s(h) = 79*h + 171. Let v(f) = 4*i(f) + 9*s(f). What is the derivative of v(n) wrt n?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p - 1. Let s(x) = 5*x**2 - 6*x + 15. What is -s(c) - 4*z(c)?\nAnswer: -c**2 + 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -63*d - 24. Suppose 13 = -2*q + g, -5*q = g + 22 + 21. Let y be t(q). Is (-64)\/y + 3377\/15 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 5*n**2 - 2*n - 14\/3*n**3 + 3\/2*n**4 + 29. Factor k(b).\nAnswer: 2*(b - 1)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235802.\nAnswer: 2, 7, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*k + 8, 9*o = 6*o - 5*k - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 greater than or equal to -0.9131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.237, 2890, 4, 0.2, 5\/3?\nAnswer: 2890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943 > -1698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29184 and 1715586.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13424010 (base 8) in base 4?\nAnswer: 23202200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 25*n**2 - 31*n + 389. What is r(11)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = -3*f, -4*t = f - 4 - 6. Let s(n) = -4*n + 2. Let d be s(f). Let g = d + -7. Solve 4*a = j, -2*a = 3*a + g*j + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -860 - -860. Let i = 1 + 0. Which is the closest to i? (a) 3 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)**26 assuming a is positive.\nAnswer: a**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + -32041?\nAnswer: -32234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let t(a) = -a + 2. Let q(p) = -2*r(p) + t(p). Let w(z) = 4*z**2 - 3*z - 3. Let c(d) = d**2 - d - 1. Let h(b) = 6*c(b) - 2*w(b). Give h(q(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 378.4 and -3?\nAnswer: 381.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, p: 12}. What is prob of sequence prrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*x - 15 = 0, 8 = 4*w + 4*x - 20. Suppose -10 = -t - w. Suppose 5*q - 114 = -0*n + 4*n, t*n - 39 = -2*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 305*j**4 - 3*j**3 - 3*j**2 + 32. Let x(o) = 305*o**4 - 2*o**3 - 2*o**2 + 34. Let h(t) = 2*b(t) - 3*x(t). Differentiate h(y) with respect to y.\nAnswer: -1220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Suppose 21*o - 15*o - 24 = 0. What is the smallest value in l, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 - 0.4.\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384.8 - -356. Let l = 0.8 + q. Let k = -19 - l. What is the second biggest value in -0.5, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let k be m(8). Let f = k - 5. Suppose -3*t + f = -5. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42958 rounded to one dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:39 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 318*l - 2*l**2 + 4 - 1 - 6 - 1 as t + y*l + r*l**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69943\/158132 + (-2)\/78?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 9*b + 54. Calculate d(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 1, -257, 4 in descending order.\nAnswer: 4, 1, 0, -11, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 8. Suppose -g = -h*g + 31. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3781332265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:59 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5478953 is divided by 14929?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/17 + 45442*a**3\/17 + 24*a**2\/17 - 545336*a\/17 + 727072\/17 = 0. What is a?\nAnswer: -4, 2, 22721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6883.95067 + -6884. Round n to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3152.5 and 529.\nAnswer: 3681.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241924*d**2 + d**3 - 241929*d**2 + 483853*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 - 11*y**4\/6 + 265*y**3\/6 - 217*y**2 - 7563*y. Factor w(u).\nAnswer: -(u - 7)*(u - 2)*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*l - 7*l + 25*l)*(l**3 - l**3 - 2*l**3) to m*l**2 + c*l + z*l**4 + b*l**3 + d and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*y - 323*y - 31 + 31)*(-y - 68*y**2 + 67*y**2 - 8*y).\nAnswer: 479*y**3 + 4311*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7)*1)\/((-1866)\/391860)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/7 - 1838040*k**4\/7 - 422300718234*k**3\/7 - 844594084324*k**2\/7 = 0. What is k?\nAnswer: -459509, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qookjyoqykokyoqoqq. Give prob of picking 1 j and 1 q.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8857807*z - 215566475 with respect to z.\nAnswer: -8857807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*z, 11*z = -2*u + 14*z - 2. Sort -3, 0.022, 2\/7, u in decreasing order.\nAnswer: u, 2\/7, 0.022, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202244086 to the power of 1\/2, to the nearest integer?\nAnswer: 14221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 1.2. Let r = -0.06 + -0.24. Let i = 1510\/13 - 116. What is the smallest value in m, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 13*r**2 - r - 17. Let p be a(-13). Let u(h) = 9*h**2 + 4*h + 4. Let k(v) = -10*v**2 - 5*v - 5. Calculate p*k(s) - 5*u(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/((-28)\/24)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 989129 or 989282?\nAnswer: 989282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 14. Let y be k(-5). Suppose 2*q - p + y = 6, 0 = 3*q - 2*p - 6. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40750 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: Let s be (-28)\/210 - (-8)\/60. Solve s = -6*z + z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226 (base 13) to base 8\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.085 + -0.085. Suppose -7 = -h + 2. What is the nearest to h in -2, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 95 - 11 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798804149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 20*t**2 + 40*t + 70. Give u(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*v - 6*h - 44, 3*v - 44*h + 254 = 902 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 5*f + 80. Let x(v) = 2*v**2 - 2*v - 27. Determine 3*o(j) + 8*x(j).\nAnswer: -2*j**2 - j + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - s - 5*s)*(298 + 3*s**2 - 149 - 159) as q*s + w*s**2 + h*s**3 + c and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 1. Let b be p(-4). Let x(j) = 20*j - 1. Let l(c) = -936*c + 48. Let u(q) = -l(q) - 48*x(q). Calculate u(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1. Let u = -31 - -33. Let n(j) = j + 2. Let l(h) = u*a(h) + n(h). Let c(p) = -4*p. What is c(l(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) -0.046 (d) -8\/1273 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 437*h**3 + 440 wrt h.\nAnswer: 1311*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3752 + 2*p - 4373 - 28532.\nAnswer: 2*p - 36657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (2288\/(-144) + 13). Let h = 0.3 - 0.1. What is the closest to h in -0.07, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 15*q**3 - 1 + 0*q**2 - 13*q**3 - 6*q as g*q + a*q**2 + d + z*q**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i = -59*i + 84 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75432 and 17304?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 3*g**2 - 7*g + 100. Determine b(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 3*i + 2*i)*(3*i + 0*i + 0*i + (-i + i - 7*i)*(6 - 2 - 2)) as y*i**2 + o + q*i and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 - 2*w - 1. Let g be v(-1). Let b(a) = -a + 7. Let p be b(g). Let u(y) = 2 - y - p. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -79.33. Let x = 0.0113 - -0.1187. Let l = b - x. Sort l, 0.3, -5.\nAnswer: -5, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*x**4 - 15*m*x**2 - 7*m + 9*x**4 + 2089*x**3 + 15 wrt x?\nAnswer: 72*m*x + 216*x + 12534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 21*f = 186576. Calculate the common denominator of (f\/45)\/(-26) + 6\/(-10) and -47\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 6, b: 4}. Give prob of sequence yccb.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c + 193. Let u(t) = -2*t**2 + 10*t. Let p be u(5). What are the prime factors of y(p)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4566 - -4?\nAnswer: 4572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 + 5311 = 9*v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.9643325 and -109.097.\nAnswer: -116.0613325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5473*z**3 - 205*z**2 + 3*z + 1?\nAnswer: -32838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 372895*g**2. Let h(v) = 2*v**2. Calculate h(z(c)).\nAnswer: 278101362050*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b = -1078*b + 125*b - 18194 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8153 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -19*n**8\/336 + 11*n**4\/24 + 23*n**2. What is the second derivative of w(u) wrt u?\nAnswer: -380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/((-70)\/(-21) + -4). What are the prime factors of ((-230)\/4)\/(1\/h)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**1*(q**(-7)\/q)**(-2\/71))**(-45) assuming q is positive.\nAnswer: q**(1350\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226675\/12 + 18890. Which is the fourth biggest value? (a) 18 (b) x (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44549?\nAnswer: 44549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from xxzxxgxxxzxxxvxxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 148689517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737060521.\nAnswer: 7, 113, 2196031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*z - 679*z - 529*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-6 + 31)) + (-4 - 4) + 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/7 and -57\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 1. Let y be u(-1). Solve 5*k - y*s - 2*s = -30, s - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by -60.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 673944 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-5*(sqrt(192)*2 + 3)**2 - (0 + sqrt(192) + sqrt(192))*-6*1) + 4.\nAnswer: -31076 - 3072*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -57, -95, -135, -177?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -726031.0427 rounded to the nearest one hundred?\nAnswer: -726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -12, -16, -36, -78?\n\"Answer: -p**3 + p**2 + 10*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -42. Let p = u + 43.0000074. What is p rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*u - 484 - 533 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*l**3 + 108*l**2 + 107259 wrt l.\nAnswer: 561*l**2 + 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 4 + 3*sqrt(931)*-2*-6))**2.\nAnswer: 37800*sqrt(19) + 30164625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1110*g**3 - 5*g**2 + 44*g wrt g?\nAnswer: -6660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.692 - -1.108. Which is the second biggest value? (a) -4 (b) r (c) -3 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:07 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**3 - 161*i**2 - 158*i**2 - 2 - 32*i**2 + 119*i**2 to r*i + v*i**3 + f + t*i**2 and give t.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/7)*v))**19\/(v**6*v*v**(-2)))**48 assuming v is positive.\nAnswer: v**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 165 - 68 + 294 - 68.\nAnswer: -5*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -x - 12, 0*x + x + r = 0. Calculate the remainder when (-11)\/(-1*x\/(-9)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19*f**2 + f + 6. What is k(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 229930.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 30*p**2 + 2*p + 33. Let v(y) = -30*y**2 - 3*y - 33. Let z(j) = 5*t(j) + 4*v(j). What is the second derivative of z(b) wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let a = 0 + 0. Sort v, a, -3 in descending order.\nAnswer: v, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4526 smaller than -4505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 120*a**3 - 4*a**2 - 20*a - 47. Let c(t) = 40*t**3 - t**2 - 6*t - 16. Determine 7*c(v) - 2*i(v).\nAnswer: 40*v**3 + v**2 - 2*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 5, f: 3, y: 2, b: 5}. What is prob of picking 1 y, 1 b, and 1 f?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5868321?\nAnswer: 3, 19, 102953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52577344097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*1 - sqrt(76))\/sqrt(2))\/(sqrt(2)*-3*-3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*z = -149*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/7 and -68\/483771.\nAnswer: 3386397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Suppose -4*m + 1 = -3, -21 = -c*u - 5*m. Suppose 5*v = -u*y + 73, 5*v = -2*y + 2*v + 37. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 2*g + 26 + 3)*(-3 + 2 - 5)*(2*g - 2*g - g**3).\nAnswer: -12*g**4 + 612*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 14*v + 18*v + 16*v.\nAnswer: 49*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 4*n - 1. Let t be ((-4)\/6)\/(-2)*-3. Let z be (0 - -4) + t + 1. Determine j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 806*o + 642*o - 461*o in the form q*o + n and give q.\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) + 322\/6. Suppose -m = -4*f - 29 - w, -5*f - 242 = -3*m. Suppose -3*b = r - m, r - b + 3*b - 77 = 0. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 3*z + 1. Let b(v) = -3*v**2 + 2*v. Suppose -2 - 4 = 3*j. Let y be (6\/9)\/(8\/(-36)). What is j*p(a) + y*b(a)?\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - ((sqrt(539)*-2 + sqrt(539) - sqrt(539))**2 - sqrt(11))) + sqrt(11) - sqrt(11)) + sqrt(11) + sqrt(99) + 0 + sqrt(11).\nAnswer: -2156 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 416486 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 7*y = 13 - 14, q = -4*y - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y - 7244103 + 3*y + 7244098. Let g(j) = -10*j - 9. Determine 3*g(c) - 5*t(c).\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 3. Let h(p) = 3*p - 2*p - 2293 + 2291. Let k(n) = -2*n + 1. Let i(u) = -h(u) - k(u). What is f(m) + 3*i(m)?\nAnswer: -2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*x = 98. What is the remainder when 27 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -665?\nAnswer: 4\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -3. Let l = -6 + q. Let s(w) = w + 2. Let v be s(l). Which is the smallest value? (a) v (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14933, -59755, -134491, -239141, -373705, -538183?\n\"Answer: -14957*a**2 + 49*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 8865?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*j + 7857 + 2636 - 2328 = -7035 for j.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 11*j**2 + 24*j - 14. What are the prime factors of s(-14)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 - 148*t**3 + 505*t**2 + 10158*t + 9504 = 0.\nAnswer: -6, -1, 11, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(2) - (-1 + sqrt(7)*1) - (sqrt(14)\/(2*sqrt(2)) - (-1 + sqrt(28) - sqrt(7))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7044 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:28 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 1. Suppose 4*v + 8 - 4 = 0. Let f(k) = k**3 + 2*k**2 + 1. Calculate v*z(j) + f(j).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*b**2 + 26986*b**3 + 26987*b**3 + 0*b**2 + 26993*b**3 - 80969*b**3.\nAnswer: -3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3546560.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*1)\/((-21)\/14). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -133734, -133763, -133786, -133803, -133814, -133819?\n\"Answer: 3*s**2 - 38*s - 133699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 2*v**2 - 2*v + 1. Let h(t) = -t**3 + 7*t**2 - 5*t - 5. Let b be h(6). Let n be j(b). Suppose -w + n*w = 38. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39535, 79307, 119079, 158851, 198623, 238395?\n\"Answer: 39772*d - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 209, 828, 1879, 3362, 5277?\n\"Answer: 216*i**2 - 29*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 1, j: 4, g: 1, h: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 52993073029?\nAnswer: -52993073028.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*g**2 + 621*g - 311*g - 310*g to w*g + u + d*g**2 and give d.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*f + 2*f - 7 = 0, -5*f = -3*t - 1. Sort -7, t, -1 in descending order.\nAnswer: t, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d - 8. Let a be o(-5). Let r(v) = -46*v**2 + 84*v**2 - a*v**2. Let y(w) = 51*w**2. Give y(r(h)).\nAnswer: 51*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 times 8?\nAnswer: 0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -20*v**3 + 3*v - 1. Let p(u) = -4*u**3 + 2 + 13*u**3 + 30*u**3 - 5*u. Determine -3*p(j) - 5*w(j).\nAnswer: -17*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let h(b) = -172 - 170 + 61*b + 342. Calculate v(h(k)).\nAnswer: -61*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 314492 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flhgqqlllllllml. What is prob of sequence hq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 + 122. Suppose -i - 417 = -5*c. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100033121331 (base 4) to base 8.\nAnswer: -20173175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/205 (b) -190 (c) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3234 - 25811\/8. Let w = -320\/263 + 1825\/24196. Find the common denominator of g and w.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 10, -4 in descending order.\nAnswer: 10, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -65?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:27 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.3 + 27.183. Let m = c + 0.217. What is the second biggest value in 0.5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47693572 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u - 18. Suppose 4*o + 2*l = -12, 2*l - 4*l + u = -2*o. Let b = o - -5. Solve b = -j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 166 - 38 = 0. Solve 0 = h - 9*h - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 22.6, -2\/7, 1276?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9893 by 66.\nAnswer: 9893\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 38 = 42 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -435*x + 117. Determine l(1).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358*f**4 + 35*f**3*m - f**2*m + 10*f*m + f + 2*m + 1902 wrt f.\nAnswer: -4296*f**2 + 210*f*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 48*v**2 - 49*v - 100. Let n(p) = 5*p**3 - 46*p**2 + 12*p - 74. Let a be n(9). Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -1058*k**3\/39 + 92*k**2\/13 - 8*k\/13 + 21. Let t(m) = 0. Calculate m.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22575 - -32256. List the prime factors of m.\nAnswer: 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -45. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9))**(-5\/3)*o\/(o\/(o**(-3\/5)\/o))*o**(-2\/17))\/((o**0)**(-50)*(o*o*o**(2\/7))**24) assuming o is positive.\nAnswer: o**(-914824\/16065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8500 and 90?\nAnswer: 76500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 251279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by 25714.\nAnswer: -59\/12857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243)*-2 + 4))**2 - (-2*(sqrt(243)*4 + sqrt(243)))**2.\nAnswer: -22097 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 8*j + 8. Suppose -5*b - f + 27 = 0, -4*b + 4 = 11*f - 8*f. What is y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = m - 9, -7*m + 6 = z - 5*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1928\/7 + -275. Suppose -3 = 3*k - 3*r, 2*r - 26 = -4*k - 0*r. Sort 3, y, k in increasing order.\nAnswer: y, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/4)\/(-2)*-12. Suppose -g*k = -4*k - 8. Suppose -5*a = k*a - 108. Solve 2*f = -2 + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/181604 and -33\/9868?\nAnswer: 448017068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Let j(g) = 626871*g. What is y(j(i))?\nAnswer: -392967250641*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 12*q**2 + 61*q**2 + 27*q**2 + 2 as u*q**2 + m*q**3 + d + l*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14 + 9*l + 4 + 9. Let u be b(1). Calculate the common denominator of ((-12)\/u)\/(15\/(-53)) and -41\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 28 + 4 + 23 + 13129*l**2.\nAnswer: 13129*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -171 + -5?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*v = -84, 5*v + 5 - 47 = -96*a + 98*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*v**5 + 6*v**5 + 6*v**5 - 19*v**2 wrt v?\nAnswer: 1440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -3. Let h be (-6 - (-2 + 0)) + (-351)\/39. Let i be (-16)\/(-64) + h\/36. Which is the nearest to -0.03? (a) i (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 28 = 7*l. Let v = l - 9. What is the units digit of (-6)\/v - (-2)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*v**3 - v**2 + 270958*v - 12981708?\nAnswer: 12*v**2 - 2*v + 270958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-266)\/(-95) - 81\/27. Let u = -0.2 - -0.1. What is the fourth smallest value in u, -0.5, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - 7*u**2 - 4*u - u**2 + 7*u**2. Let v be n(-3). Let h = -6 + 28\/5. What is the closest to h in -0.4, -0.2, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 638247.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 + 5*s + 3. Let q be ((-3)\/(-2))\/((-2)\/12*3). What is the least common multiple of ((-24)\/(-15))\/(3\/15) and m(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -15*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13040 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*s + 2*s - 10, 2*b + 4*s = -20. Suppose 3*q - 5*q - 4*g - 6 = b, 3*q - 6 = -g. Let d = 19 + q. Calculate the remainder when 85 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4 + 294*g**2 + 2*g - 293*g**2 + 1 to the form o + q*g**2 + f*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - h - 1)*(-2 + h + 2)*(-20 - 19 + 113) to the form v*h + u + x*h**2 and give x.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29286, -58577, -87904, -117285, -146738, -176281, -205932?\nAnswer: -235709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 - 2680*b**3 - 2076425*b**2 + 6263860*b + 8337600 = 0. What is b?\nAnswer: -432, -1, 4, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6958.0706 - 6959. What is p rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -341054*l**4 - 2914*l**2 - 32*l?\nAnswer: -8185296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129279.\nAnswer: 3, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(17) + 3 - sqrt(17)))**2 + 0 - (4*sqrt(85)*-1)\/sqrt(5).\nAnswer: 4*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -132967*y - 7579106. Calculate u(-57).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*c = -25, -131 = 2*c - 127. Calculate the remainder when 116 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - 19506\/10. What is t rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and 69\/837782?\nAnswer: 4188910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6800 and 68.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16907094497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25527942 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 10*w. Let g be q(10). Suppose -5*l + 5 = -g. Determine y, given that -5\/2*y - l - y**2 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s - 4. Let b = -15 - -11. Let m be q(b). What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -3868.8.\nAnswer: 116.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -0.645 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(176) + sqrt(176) + sqrt(176) + -1 + -5)**2 + (5*(sqrt(11) - (sqrt(11) + 1 + sqrt(11))**2) - sqrt(33)\/(sqrt(9)\/sqrt(3))) + 4.\nAnswer: -256*sqrt(11) + 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2057, 2, -146, -3 in decreasing order.\nAnswer: 2, -3, -146, -2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j + 5. Let l(i) be the first derivative of -7*i**2 - 2*i - 4. Let p(x) = 3*h(x) + 7*l(x). What is the first derivative of p(o) wrt o?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = 4*z + 4, -h = 3*z - 1. Let o(p) = p + 20. Is o(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1959*m + 182207. Determine c(93).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 73151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 55 = 5*p, -5*i - p + 5*p = -187. Let y = i + -35. Let b(s) = s**3 - 5*s**2 + 4*s - 2. Let l be b(4). Does l = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (0 - 4) - (323 - 339) - -76?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2 + 3*u - 3. Let h(f) = f - 3. Let o be h(6). Let k(j) = -10*j**2 + 4*j - 2. Let g(a) = o*k(a) - 4*x(a). What is the derivative of g(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 6008519 - 6008519.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(847) + -1) + -1)**2 + 3 + (sqrt(847)*2)**2 + -5)*-2.\nAnswer: -22050 + 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*f + 64 = 0, -3*a + f - 25 = -84. What is the highest common factor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.069344 - -0.39.\nAnswer: 0.459344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n**2 + 4*n**2 + 51*n**2 - 18*n**2 in the form u + z*n + j*n**2 and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000066507 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -22 - 2*f + 86*f**2 + 7 + 14. Let i be l(-1). Solve 4 + 87*y - i*y - 4*y**2 + 0*y**2 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 36) + 125 + -92 - (-150)\/11.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 73 = 27. Suppose -3*g - 2*g = -p. Suppose -7 + 22 = g*o. Sort o, 2, -4.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 5 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13701 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 503315 or 5536480\/11?\nAnswer: 5536480\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 4*p - 16, 4*p = -5*m + 51. Suppose -f + p + 19 = 0. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 11*s**2\/3 + 384*s - 2100.\nAnswer: -(s - 25)*(s - 6)*(s + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2367*r**2 - 457. Let v(n) = -n. What is v(t(c))?\nAnswer: -2367*c**2 + 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372\/(-930))\/(32\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 64 + 60 - -54.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*y, -2*o - 4*y - 4 + 0 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1363402 + -31?\nAnswer: -1363433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 - -6 - (1 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o - 193*o + 3391 = 260*o - 431 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = 282 - 415 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3612000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 87. Which is the closest to 4? (a) 5 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2107 (base 8) to base 15.\nAnswer: 4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*v - 85*v**2 + 44*v**2 + 59*v**2 - 1407*v**6 wrt v.\nAnswer: -168840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -77*l**3 - 2*l**2 + l + 2. Calculate the remainder when j(-1) is divided by -1 + 1 + 25 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 17037*h + 59 - 27 - 28 in the form b + t*h and give t.\nAnswer: -17037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-87)\/36 + -1 + 6. Let w(m) be the second derivative of 4*m + s*m**3 + 0 + 0*m**2 - 1\/4*m**4. Find the second derivative of w(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-17))**(-10)\/(v**(6\/11)*v*v*v**(11\/5)))**(25\/2) assuming v is positive.\nAnswer: v**(45445\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 9732, 2, 9?\nAnswer: 9732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163 - -161) + 2 + (2 - 2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 33*v + 49*v = 0. Let p(y) = y**3 - y**2 - 2*y + 6. What is p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, v: 5, i: 1}. Give prob of sequence vi.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -7. Let d(l) = 5*l**2 - l**3 + 3 - 2 + l - 3 + l**2. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2579453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1076 and 103834.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 13\/5. Suppose 6 = -0*d + u*d. Let k be 1\/d + (-2)\/4. Solve -x = -k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + 1 + 0 + 2 + 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 19*s - 85. Let r be (-21)\/2*(-26)\/(-39). Let h be p(r). Let j = 122\/3 - 368\/9. Is j less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-7)*(8\/(-6) + 2). Factor 4\/7*p**3 + 0 - f*p**2 + 0*p.\nAnswer: 2*p**2*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423786555 to the power of 1\/2, to the nearest integer?\nAnswer: 37733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 5765*h**2 - 5789*h**2 + 11552*h**2.\nAnswer: -2*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(57 - -7). Let y = 131 - 89. Let m = y - h. Sort m, -4, -5.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 + 227. Suppose -1522 = -4*g + 3*n, -5*n + r*n + 1141 = 3*g. What are the prime factors of g?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1971*c**3\/8 - 3627*c**2\/2 + 26895*c\/8 - 363\/4.\nAnswer: 3*(3*c - 11)**2*(73*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*(-16)\/8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 67 + 25 = 0. Let h(k) = 2 + 4*k**2 + 2 - 2 - 5*k**2 - 7*k. Calculate the remainder when y is divided by h(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 285*x**2 - 13*x + 273*x**2 + 34*x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 9*g - 12. What is the least common multiple of g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 668*k - 8. Does 52 divide l(-160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - ((-2)\/(-6) - 26\/(-39)). Solve -1 = t - 3*c, s = -2*t + 4*t + 5*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 33 + 4 + 2 = 0. Solve -33 = 5*g + x - 42, -s*g - 3*x + 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + q + 2. Let v be l(-7). Let m be (-4)\/(-2) + 6*((-245)\/(-30) + -8). Calculate the greatest common divisor of m and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980917711 to the power of 1\/2, to the nearest integer?\nAnswer: 54598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/12)\/((-534)\/48). Let o = m - 99\/445. Let y = 17 + -16.7. Which is the third biggest value? (a) y (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (11 + -2 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 - 3*o**2)*(2*o + o - 2*o)*(-3*o**2 + 2*o**2 - o**2).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 125*g**2 - 419*g + 6. Let k(m) = m. Determine k(a(y)).\nAnswer: 125*y**2 - 419*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1566 and 25\/522.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:14 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -f10 (base 16) in base 15?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 5*f**2 + 7*f + 2. Let r be j(-5). Let o be (120\/16)\/((-2)\/4). Let z = o - r. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {i: 3, p: 2, w: 2, v: 6, q: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2 - 11. Suppose 0 = 2*l, -2*u - 2*l = -m*l - 26. Let j = u + -9. Solve -j = -2*h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -93. Let i = -53.1 - -50.1. What is the second smallest value in -1, -0.2, w, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -24. Solve x*z - 4 = 0, -2*a - 4*z + 3 = 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 5*a - 26. Let g(b) be the third derivative of 0*b + 1\/4*b**4 + 4*b**a + 1\/3*b**3 + 1\/120*b**6 + 1\/12*b**5 + 0. What is g(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/1*((-6)\/57 - 280\/950). Sort -4, -19, x in increasing order.\nAnswer: x, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53\/333, -0.35, 0.044, 5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:44 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 10*w - 3740 = 0. What are the prime factors of w?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97323260 or 97323259?\nAnswer: 97323260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 416847501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 7725?\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 18*d + 3. Let g(u) be the third derivative of u**7\/2520 - 9*u**4\/4 - u**3\/3 + u**2 + 6. Let v(z) be the second derivative of g(z). Calculate h(v(n)).\nAnswer: 18*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 520\/3*v**3 + 0*v + 0*v**2 - 136. Let b(j) = -2*j**2. Give h(b(a)).\nAnswer: 2080*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 1 + 40 + 865?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*-60950254\nAnswer: 243801016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-4 + (10 - 3)) - -4. Let a be k\/40 + (-285)\/(-24). Let p = -3 + a. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -34 + 9*l + 23\/2*l**2. What is the first derivative of v(o) wrt o?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 1. Let w be g(-3). Let o = -9 + w. Factor 0*u - 6\/7*u**5 - 2\/7*u**2 - 10\/7*u**3 + 0 - o*u**4.\nAnswer: -2*u**2*(u + 1)**2*(3*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409869 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -104.3913 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*2 + -4. Let v = -94 + 140. Let q be v\/6 - 1\/(-3). Solve 3*m - b = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 0*t**3 + 7*t**3 + (2*t**2 - 5*t**2 + 2*t**2)*(5*t - 4*t + t) + 2*t**3 - 3*t**3 - 6*t**3 to w*t**3 + p*t + i*t**2 + c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -16. Let k = i + -14. Solve -7*o + k*o = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55)\/(-55))\/((-2)\/(-22934)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 515052, 515058, 515064, 515070, 515076, 515082?\n\"Answer: 6*t + 515046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5000 and 119576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 3*u)*(-90 + 144 + 167 + 155)*(u**2 - u**2 + 2*u**2) as o*u**3 + r*u + c + v*u**2 and give o.\nAnswer: -2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -19.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2680.18443 seconds to weeks.\nAnswer: 0.004431521875","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the third derivative of -94503*z**6 + 2*z**2 + 39*z - 6?\nAnswer: -11340360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/1571 and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -8*a + 585. 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: Factor -3*t**5 - 283*t**4 - 1084*t**3.\nAnswer: -t**3*(t + 4)*(3*t + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -39. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 863122*a**2 + a - 863122.\nAnswer: -(a - 863122)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.2633 decades in centuries?\nAnswer: 41.22633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-12) - -2)\/((-4)\/(-1398054)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 1\/3 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 15) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 12. Let z = -9 - x. Suppose -6*j + 639 = -z*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -19, -32, -49, -70, -95?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**2*r**3 + 38*g**2 - 94*g + 11*r**3 wrt g.\nAnswer: 22*r**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*u - 12. Put u, 20, 5 in decreasing order.\nAnswer: 20, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2875, -1, 0 in descending order.\nAnswer: 0, -1, -2875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 3, y: 2, h: 9, f: 2}. What is prob of picking 2 t?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -34 + 27. Is 56 a factor of (49194\/63 - -3) + 1\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 + 0*w**3 + 0*w**4 + 301\/60*w**5 - 56*w**2 + 0*w. Let y(n) = -2*n**2. Calculate b(y(o)).\nAnswer: 1204*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5614754 is divided by 1403680?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2212 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*p - 15, 57*y - 4*p = 59*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 12*l + 48 = 0. What is the smallest common multiple of l and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 69 - (2 + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8357246352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425171.\nAnswer: 227, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207359134 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from uhuhuhhhhuhhhuhhhhh.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -44*b**2 - 8*b + 33. Let j be u(-6). Let y = -596 - j. What are the prime factors of y?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 21\/4 (c) 3\/80 (d) -0.4 (e) 13\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*14\/13860*-5.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let n = l - -2.4. Let y = n - -2.6. Which is the closest to 0.2? (a) y (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3589*s**2 - 10*s + 233. Let z(i) = 1792*i**2 + 6*i - 116. Let d(q) = -3*c(q) - 5*z(q). Differentiate d(k) with respect to k.\nAnswer: 3614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in -1.2, -0.6, 3\/8, -2\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196360 is divided by 49848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 w when three letters picked without replacement from wtwtwttttwwt.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 = -4*a + 67, 2*a + 64 = 4*q. Let s be (-2912)\/(-6)*(-42)\/(-28). What is the remainder when q is divided by ((-16)\/9 - -2) + s\/126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/24)\/17*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 - 2454562?\nAnswer: -2455052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001631 to 7 dps.\nAnswer: -0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59548698 is divided by 139?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.382 - 1.4. Let a = -0.642 + d. What is a rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70821\/86)\/(-183)*(-24)\/(-45).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3068 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 + 19 = 0. Let x(q) = -2*q + 2*q**2 + q**2 + q - 9 + 6. Let v(y) = 4*y**2 - y - 4. Give f*v(l) + 5*x(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygygy. Give prob of sequence ygyg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.7 + 54.7. Let m = 0.11 + 0.09. Which is the third smallest value? (a) t (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 2. What is the lowest common multiple of w and 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3\/5 - 4*z**2\/5 + 16*z\/5 + 16\/5 = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -x + 4, x = 3*r - 12. Let v = -2.6 + 3. Let k = -2.03 - -0.03. Which is the third smallest value? (a) v (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269978 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5246729mm?\nAnswer: 0.0005246729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.314215 years in centuries?\nAnswer: 0.05314215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75930 or -2567?\nAnswer: -75930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/(-30) - (-1)\/(-3). Suppose 2*c = h*d - 62, -14 = 5*d + 2*c - 87. Calculate the remainder when 57 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:49 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -93*y - 43*y. Which is the nearest to y? (a) -36 (b) 5 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11185 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 152502977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 191 (b) 119 (c) 3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 18468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 13, -0.06, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)\/(u\/u**(-1))*(u\/(u*u\/(u**(2\/15)\/u)*u))\/(u**4*u) assuming u is positive.\nAnswer: u**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2) - (-54)\/15. Let x = -472 + 5190\/11. What is the third biggest value in x, -67, g?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*q**3 + 75\/4*q - 75\/4 + 3\/4*q**2.\nAnswer: -3*(q - 5)*(q - 1)*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -46, 0, 66, -44, -1 in decreasing order.\nAnswer: 66, 7, 4, 0, -1, -44, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 32. Let l be u(0). Suppose -3*i - 3*v = 72 - 84, 0 = 5*i - 2*v - 20. Calculate the greatest common divisor of l and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 15*h**4 - 6*h**2 + 15*h**2 - 35*h**3.\nAnswer: 5*h**2*(h - 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2. Let b(x) = 70*x**2 - x. Give b(a(w)).\nAnswer: 3430*w**4 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 31. Let x be f(11). Suppose 3*m = 16*m + x. Let i(o) = 10*o**3 + 2*o**2 + 2*o + 1. What is i(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31558\/(-2545)*(-2)\/(-48)*15?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382.7 - 243. Let f = p + -140. What is the third biggest value in -1\/5, f, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 901024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-32)*26\/39\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4195*u = 4201*u - 2286. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**3 + 62305*n**2 + 193627520*n - 2918448300 = 0.\nAnswer: -6238, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -8, 14, -158, -5 in descending order.\nAnswer: 45, 14, -5, -8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w + 62*w + 4*u + 10 = 0, 0 = -2*w + 2*u + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)*(x\/(x**(1\/6)\/x))\/x)\/(x*x*x\/(x\/x**(-6))*(x\/(x\/x**(-6\/13)))\/x))**(-2\/29) assuming x is positive.\nAnswer: x**(601\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (149\/298)\/((-10)\/28)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 - 2*u + 10. What is d(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 5*y - 700*y**2 + y - 46*y**4 - 1 + 49*y**4 as n*y**2 + m*y**3 + b*y**4 + c*y + g and give n.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -13, -1, 206 in increasing order.\nAnswer: -83, -13, -1, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1abdcb8e + 4?\nAnswer: 1abdcb93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -43. Suppose -z = g + g. Sort 2, 5, g, 3 in increasing order.\nAnswer: g, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*b - 5, 0 = b - 1. Let a(f) = -f**2 - 7*f**3 + 15*f**3 - 1 - q*f**3 + f. Let v(r) = -3*r**3 + 5*r**2 - 5*r + 5. What is 10*a(m) + 2*v(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -54*c + 1. Let s be r(-2). Let t = s - 52. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l - 2. Let g(v) = -v. Let d(z) = 5*g(z) - t(z). What is d(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 293 + 28. Let k(i) = i**2 - 10*i + 8. Let h be k(6). Let q = h + s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.43 + -29.6. Which is the third smallest value? (a) -3 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/6 - (-4 + 2). Is r less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23025 and 23225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1039 - 527 - 529 + 3*d as v*d + y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i, 37*z - 2*i - 1 = 38*z. Let r = 2.7 - -0.3. Let s = 3.4 - r. Which is the nearest to z? (a) 5 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((56\/944)\/(-7)). Let y(d) = -120*d + 1. Let c be y(-2). Let s = c - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and (-58)\/(-18) - (-7 - (-585)\/81).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*p**3 - 36*p**3 - 42*p**3 - 32*p**3 - 41*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4361 - 2104. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951 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: In base 10, what is -5 - 141763966?\nAnswer: -141763971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45896*j**3 - 204*j**2 - 76857358*j wrt j.\nAnswer: 275376*j - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68166 and 648648.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4424 and 3063928?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + t - 390 = 0, 2*l - 4*t - 520 = -2*l. Suppose 8*h + 2 - l = 0. Calculate the highest common divisor of 48 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-22)*(-660)\/120 - 16\/(-444)*-276.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*d**3 + 2*d**2 - 20234?\nAnswer: 75*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4287 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40435 + -20037?\nAnswer: -60474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99 - 77) + -1 + -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:02 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -57. What is the closest to 0 in 2\/21, t, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 737 * 1.71.\nAnswer: 1260.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -35\nAnswer: 24\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 2*p)*(2*p**4 + 4*p - 14 + 14) + 0*p**5 - 3*p**5 + 4*p**5.\nAnswer: 3*p**5 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 23 = -5*d + 76, 0 = k + 3. Suppose -7*a - 240 = -d*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 49 = -5*w. Let u be 12\/(-9) - (3 - (w + 3)). Factor 0 - 4\/3*v - 4\/3*v**3 - u*v**2.\nAnswer: -4*v*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8968 + 8990 + 8975 - 26931 - 63*v.\nAnswer: -63*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -2\/7 (c) -2\/5 (d) -3\/2 (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*u**2 - 205*u**3 + 54*u**3 - 116*u**2 to the form f*u**2 + h + o*u**3 + i*u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 408 + -387. Suppose 0 = -2*m + 4*k + 48634, -24*m + g*m + 72957 = -4*k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 10, f: 4}. Give prob of sequence ffw.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l + 486. Give d(-42).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -78\/83267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*4\/100)\/(1\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27320 divided by 2?\nAnswer: -13660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(3 - 5 + 5)*(-2 + 2 - 1)*(-34*w**2 + 72*w**2 - 244 - 40*w**2).\nAnswer: 6*w**3 + 732*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*z - 5*z + 51, 3*z - 49 = -5*x. Suppose -x*o = -14*o. Suppose -3*l + 8*l - 215 = o. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42308136 and 120536.\nAnswer: 42308136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222476 is divided by 3970.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*j*q**3 - 16*j*q**2 + 44627*j*q - 23*j - 7*q**3 - 29*q**2 - q wrt q?\nAnswer: -150*j*q - 32*j - 42*q - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 4)\/(1 + 0). What is the common denominator of 65\/2 and 1 + q - (-147)\/27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1672648 * -264\nAnswer: -441579072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111207481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w - 29. Suppose 0 = 2*m - 4*f + 24, -6*f + f - 61 = 4*m. What is g(m)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2083*s + 2060*s + 43 + 26 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = 0, v + 1 = 1039*h - 1043*h - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61881 + 163838. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 34006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*r + l, 4*l = 2*r + l - 96. Let a = -41 + r. Solve a*p = 2*w - 6, -2*w + p - 12 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308*u + 1079*u + 151 + 499 = 3627 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 184. Let z be a(-48). Solve -6*y + z + 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -31*r**4\/12 - r**3 - 5*r**2\/2 - 1767*r. Give p(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l + 6. Let x be d(2). Solve -i = i + x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/3 + 1443604*f\/3 + 520998127204\/3 = 0. Calculate f.\nAnswer: -721802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-1)\/(6*(-8)\/(-528)). Put -1, p, 2, -2 in decreasing order.\nAnswer: 2, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 4*j**3 - 13*j**3 + 13*j**2 + 6*j**3.\nAnswer: 4*j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {p: 3, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1026 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 923.2.\nAnswer: -276.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let w(f) = 176*f**3 - f**2 + 2*f - 1. Let n be w(c). Let z = -607 + n. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15295 and 1288.\nAnswer: 122360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*r = -285*r - 269*r - 2047 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*x**2 - 1 + 1 + 93*x**2.\nAnswer: -163*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421*j - 103 + 2*j**2 + 428*j - 847*j to t*j + v*j**2 + c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 209*j. Let a(z) be the second derivative of z**4\/12 + 11*z - 60. Give b(a(k)).\nAnswer: 209*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -396159.2*-0.5\nAnswer: 198079.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924581519?\nAnswer: 547, 1690277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 13*p**7\/42 - 9*p**4\/2 + 115*p + 62. Let i(a) be the first derivative of y(a). Find the third derivative of i(q) wrt q.\nAnswer: 780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/7 + -6)*4\/(-6936). Is 0 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95172 and 5880?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 23*i**2 - 6*i + 7. Let k be t(5). Suppose 0 = -205*m + 16445 + 9590. Suppose -2*u + k = 4*a + u, a - 2*u - m = 0. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Solve 0 = 5*i + 3*p - 0*p + 3, 4*i = -5*p - t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u + 5. Let s be h(6). Suppose -2*k + s*k - 2*g = 40, -3*g + 76 = 4*k. Suppose 21 = x - k. What is the remainder when x is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -36*g**2 + 160*g - 35. Let f(t) = -18*t**2 + 91*t - 18. Determine -7*f(m) + 4*l(m).\nAnswer: -18*m**2 + 3*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2959\/1422 + -2\/79. Let x = -159945\/476 + -1557378\/6545. Let v = 6356\/11 + x. What is the common denominator of v and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 158.\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.5 - -22.1. Which is the nearest to -2? (a) x (b) -0.5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 4*q**2 - 3*q + 4. Suppose 7*x = 10*x - 120. Suppose 5*z + 0*h - h - 238 = 0, -z + x = -4*h. Let w = z - 52. Give j(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -593183337 and -10184.\nAnswer: -593193521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3\/4, -5, 10, -0.3, -0.2 in ascending order.\nAnswer: -5, -3\/4, -0.3, -0.2, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 24 - 112 = 0. Let f = 53 - z. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yryyyyyyryyy?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -47*h - 2. Suppose 2*q + 4*o + 16 = 0, -4*q - 4*o - 18 = 2. List the prime factors of k(q).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/140 - 3*v**4\/28 + 8*v**3\/7 + 32*v**2 + 8*v + 12. Find n, given that y(n) = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2. Let y(x) = -5*x - 4. Let t(l) = -11*l - 9. Let v(m) = -4*t(m) + 9*y(m). What is g(v(b))?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 8 (c) -1\/2 (d) 0.5 (e) -160 (f) 32 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87 - -2755?\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 15*d - 12. Let j be z(-12). Suppose -99 = -5*k - j. Calculate the smallest common multiple of 9\/k + (-148)\/(-20) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:56 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*t**5 - t**2 + 2*t + 10?\nAnswer: 1060*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63440840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 236804539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1464529823 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101022110 (base 4) in base 16?\nAnswer: 11294","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let w = 0.52 - 0.74. Let b = 0.08 + w. Is m != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 - 6. Let i = -148 - t. Which is smaller: 1\/34 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + -0.3. Let r be (-13)\/130 - (-118)\/(-20) - 1. Let j = -94\/3 + 31. What is the nearest to -1 in o, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648496.\nAnswer: 2, 40531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Factor 2\/7*y**s + 2\/7*y - 2\/7*y**3 - 2\/7.\nAnswer: -2*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03608 or 0.39446?\nAnswer: -0.03608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 7. Does 18 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-102)*((-41)\/205)\/((-5)\/((-450)\/8)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1136 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 23922*x - 35007099.\nAnswer: -3*(x + 1931)*(x + 6043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-32)*-2)\/(5355\/(-90678)). Which is smaller: m or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*((-621)\/(-12))\/(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 259 + -270. Find the common denominator of ((v\/11)\/(2\/30))\/(-4) and -16\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**3 + 1114*c**2 + 1105*c + 29999. Determine t(-123).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18461 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (1 + sqrt(1584) + 1))**2 - (-3 + (sqrt(1584) + 0)**2).\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 6*c**2 - c + 1. Let v be i(6). Let q be 0 + (v - -3) - (-2 + 30). Let s = q + 5. Is -24 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 10) in base 7?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 568 = 1581. Let w = 407 - x. Is w a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*h**3 + 1870*h**3 + 26733*h**2 + 4 - 26733*h**2.\nAnswer: 3344*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 21033011123 (base 4) in base 11?\nAnswer: 1403aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)\/h)\/h*h)\/(h*h**(-13))*(h*h**28)\/(h**(-23)\/h))**(-24) assuming h is positive.\nAnswer: h**(-1488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 43881*h + 133325. What is f(-3)?\nAnswer: 1682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 50*n - 237. Solve 4*p = 2*m, 5*m - 18 = 3*p - n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 321770004 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*c + 2. Let a = 67 - c. What is the tens digit of (4\/1)\/4*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwwwrwr. What is prob of picking 2 r and 1 w?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 6. Let y be q(6). Suppose -m + y*j + 27 = 3*j, 57 = 3*m - j. What is the least common multiple of m and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 99 = -0*n + n, g = -2*n - 36. Let t = -181\/7 - g. Suppose t*y**2 + 2\/7*y + 1\/7 = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -4. Let k = m + -23. Suppose -2*d - 74 - 20 = -4*l, -k*d + 95 = 5*l. 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 prob of picking 1 x and 2 y when three letters picked without replacement from {z: 2, y: 2, x: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -2) + 7 - -2) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9475 + 9475 + 25*n.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - f - 7 = 7*j, j = 5*f - 21. Let z be (2*(-3)\/(-15))\/((-4)\/5). Which is the closest to z? (a) 0.3 (b) 13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(931) + sqrt(931))**2 - (2 + sqrt(931) + 2)) + ((-2 + sqrt(171)*1)*2)**2.\nAnswer: -41*sqrt(19) + 1628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3, w + 3*w + 17 = c. Suppose -16 = -2*i, h - 4 - 9 = 5*i. What is the remainder when h is divided by w\/((-15)\/24) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*l + i, 3*i + i - 9 = -l. Let s = 1346\/3 - 448. Put s, 4, l in decreasing order.\nAnswer: 4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 20 = 5*q + 3*z, -4*z = -4*q + 2*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*b - 13221 = -101*b - 13*b + 1339. Let y(k) = 2*k**3 - 6*k**2 - 4*k + 5. What is the remainder when y(6) is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 30*k**2 - 193*k + 31. What is g(5)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*m + 15, -2*m - 6*k = 57 - 55 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 4)*(-5 + 0 + 4)*(-2*r + 3*r - 2*r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 6 = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 k, and 1 t when four letters picked without replacement from {k: 1, t: 1, z: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*h + 38, 2*q - 18 = 5*h - 4*h. Let l(m) = 2*m**2 + 11*m + 16. What are the prime factors of l(h)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79172.58 litres in millilitres?\nAnswer: 79172580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*a + 111 - 43, -2*z + 5*a + 88 = 0. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128069.\nAnswer: 83, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(26) + sqrt(1274)))\/sqrt(2).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + 1)**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4492 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55040 divided by 2930\nAnswer: 5504\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 4068330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466950 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 553, 1095, 1625, 2137, 2625, 3083, 3505?\n\"Answer: -u**3 + 549*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 203, 654, 1523, 2948, 5067?\n\"Answer: 23*h**3 + 2*h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4596\/11 or -417?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 3\/241 (c) -245 (d) 1\/6 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240165 and 1350?\nAnswer: 2401650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 16. Suppose g - i = -3*g. What is the third derivative of -6*q**2 + g*q**2 - q**2 - 4*q**6 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -5908\/31877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -316, -707, -1254, -1957, -2816?\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2442351028 to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289984 (base 10) in base 3?\nAnswer: 2102112112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:51 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1629884280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25468315.\nAnswer: 5, 5093663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9145\/3658)\/(-60*2\/(-3))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 103, 136, 195, 286, 415?\n\"Answer: b**3 + 4*b**2 - 6*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-5)\/20 + (-346)\/(-8)?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 48*g**2 + 24*g**2 - 25*g**2.\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*w + x + 32, -5*w = -5*x - 50. Let v be 8\/w + 21\/(-45). Factor -1\/5*r**3 + 0 + v*r - 3\/5*r**2 + 3\/5*r**4.\nAnswer: r*(r - 1)*(r + 1)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 - 7*g**2 + 8*g - 6. Let d be b(4). Let n = -168 + d. Solve -3*o = -n*i + 14, 3*i + o = 2*o + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40102199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 2*d)*(4*d - 2*d + 2*d + (-4 + 1 + 4)*(-2*d + 4*d - 3*d) - d - 4*d + 4*d)*(-3*d**2 + 4*d - 4*d).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4031715 and -20.4.\nAnswer: -4031735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 325077 - -6?\nAnswer: 325105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 17}. Give prob of picking 2 w.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -520270*k. Let m(n) = -3*n. Calculate h(m(b)).\nAnswer: 1560810*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from izz?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 5*u - 3. Let x be s(-6). Suppose -10 = -0*q - 2*q. Let t(v) = 3*v + 3. Let p be t(0). Solve x*k = -4*d - p, 0 = -q*k - 3*d - 7 - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-2)*(t\/(t*(((t\/(t\/(t*t**(-5)*t)))\/t*t)\/t)\/t))\/(t\/t**7) assuming t is positive.\nAnswer: t**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 316721322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)\/a**(-1\/3)*(a\/(a*a**(2\/7))*a)\/a**(-13) assuming a is positive.\nAnswer: a**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 3*x + 2*x - 1 - x + 1 + (0*x - x + 3*x)*(-505 + 167 - 96).\nAnswer: -871*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1065 - 1053. What is the highest common factor of 93 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.1. Suppose 4*d = d + 9. Suppose 7*b - 5*q = 2*b - 10, d*b - 2*q = -3. What is the closest to l in b, -3\/2, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -466*m**3 + 12*m**2. Let r(b) = -1398*b**3 + 40*b**2. What is 10*g(l) - 3*r(l)?\nAnswer: -466*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 95214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1) + (-35)\/(-7). Suppose -m - c*p + 18 = 2*m, -5*m + 21 = 2*p. Suppose -m*z + 3 = 0, 2*f - z = -6*z + 17. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 7. Suppose 331 - 87 = 4*r. Suppose 72*v - 187 = r*v. What is the remainder when f is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5302.\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 3*v - v)*(2*v + 0*v + 0*v) + (-4 + 3*v + 4)*(-12*v - 87 + 87) as i*v + b*v**2 + y and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11 - 3 - 122*l + 20 - 6 to the form j*l + v and give j.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(13\/4*2346\/(-5083)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1270 = 4*q, -5*d + 5*q + 3243 + 3077 = 0. Suppose s - d = -s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((12\/75)\/1)\/(4\/10). Sort q, 6, -5\/2.\nAnswer: -5\/2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 1267\/5. Let b = x + 2. Let p = -157\/220 + -2\/55. What is the third smallest value in p, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1241*r**2 + 2*r - 3. Let j be (3\/2)\/(24\/16). Let y be x(j). Suppose -2*d - y + 374 = -4*c, 4*d = -4*c + 848. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-104)*4)\/(7\/(-28))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207134089*u*v**2 + 8*u*v - 11805*v + 471 wrt v?\nAnswer: -414268178*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7762*h - 7681*h - 1215 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 40 = -4*h, 2*o + 0*h - 24 = 4*h. Solve 4*b - c + 17 = 0, -4*b + 2*c - 6 = o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*i - 2612 = -260*i. Suppose 2*b - 241 - i = -3*k, -k + 3835 = 5*b. What are the prime factors of b?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 14, 39, 76, 125?\n\"Answer: 6*p**2 - 5*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((-2 - 3) + 5)) + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucwzuwcuu. What is prob of sequence wcwu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -3*s - 8*s. What is the remainder when 92 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4 - 9*y**3 - 3*y**2 + 9*y + 6 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -124643565\/4 < -31160892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 782 - -16418?\nAnswer: 17311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*f + 51*f**2 - 49*f**2 - 2*f**4 + 5*f**4 to g*f**4 + r*f**3 + h + c*f**2 + q*f and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 1. Let o be (-2)\/10 - (-144)\/(-30). Let w(y) = 5*y + 1. Let p(l) = o*w(l) + 6*r(l). Give p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66407\/12 - 5539. Suppose -w - 2*j + 36 = 4, -4*w + 136 = 4*j. What is the common denominator of g and (-2 - (-69)\/w)*750\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 6. Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(200)*2 - sqrt(200)))\/(sqrt(40)\/sqrt(1000)))**2.\nAnswer: 125000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d + 7. Suppose -49*u = -2*z - 48*u + 17, -3*u = 9. Let o(i) = 9*i + 7. Calculate z*o(x) - 6*k(x).\nAnswer: 3*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/35))**37*(t\/(t*t**37)*t)\/(t*t**(1\/26)*t))**(-2) assuming t is positive.\nAnswer: t**(32691\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 + s**2 - 1. Let g(f) = 16*f**3 - 10*f**2 + 2*f + 6. Determine g(q) + 3*r(q).\nAnswer: q**3 - 7*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 2*z**2 - 2*z**2 + (2*z - 5*z + z)*(z**2 + 3*z**2 - 3*z**2) - 2*z**3 + 0*z**2 + 0*z**2)*(1 - 1 + 2*z**2).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(-5*v - 3*v + 2*v)*(4*v**2 + 0*v**2 + 1 - v**2) - 7*v**3 - 9*v**3 + 9*v + 17*v**3 as p*v**3 + d*v**2 + k + f*v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37379.63 + 37315. What is u rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 29*v + 192. Give t(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 6*m + 1. Let y(h) = h**3 - 11*h**2 - 11*h - 7. Let j be y(12). Suppose -j = 4*v + 11. Calculate r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11228435 divided by -2245687\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*n - n - 10, 4*n = 8. Suppose m = -3*y + 2*y. Suppose 5*a - 20357 - 3643 = y. What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*1 + sqrt(6) - sqrt(6))\/sqrt(288).\nAnswer: 7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 7. Suppose 12 = 3*d + v, -3*d + 6 + 6 = -v. Suppose w + 0*w - d = 0. What is the remainder when t is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:46 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 20, -4*p - 19 + 7 = -3*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.47, -0.3, 4, -184, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 44\/(-28))\/(-2). Which is the closest to h? (a) -0.4 (b) -2\/19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 86*l - 855. Let a(u) = -14*u. What is 6*a(n) + z(n)?\nAnswer: 2*n - 855","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 5751 = 6525. What are the prime factors of h?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110101 (base 2) in base 8?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/10 + (-249)\/(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 12*n**2 - 12*n + 8. Let c be t(8). Suppose 0 = -71*p + 49*p + 4334. Let u = c + p. Round u to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - l = -78, 2*l + 1051 = 17*d - l + 1285 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/3*x**3 + 0*x**2 - 2*x + 2. What is the derivative of q(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000306231 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 107*g - 1913. Let v be i(18). Solve -s - 22*z + 17*z = v, -5*s = -z - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11626 - 0?\nAnswer: 11626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 - 75140*g**2 + 3159408*g = 0.\nAnswer: -37612, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 518891940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 23\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) -51 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*l = -i - 4, 0 = 4*i - 5*l + 2. Suppose 16 = -i*m + 3*m. Let x = -5 + m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -740007.\nAnswer: -51800.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 5*h**2 + 2*h + 4. Let n = -9 - -15. Let l be n\/4 - 90\/20. What are the prime factors of p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5550)\/1665*(-1)\/6*(-9)\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from voogf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1)\/(51\/66). Let w = 26842.2 - 26842. What is the smallest value in k, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 - 0.1. Let t = 3.7 + g. Let w = 0.2 + t. What is the closest to w in -0.5, 1, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + r = -2*s + 13, 0 = -2*s - r - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -33*u**2 - 22*u - 11. Let s = 73 + -67. Let c(q) = -17*q**2 - 12*q - 6. Let b(a) = s*n(a) - 11*c(a). Let w(l) = 8*l. What is b(w(m))?\nAnswer: -704*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(18\/(-12)) + (-2)\/3. Factor 2\/3*w**2 - 1\/3*w + f - 1\/3*w**3.\nAnswer: -w*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 17679?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -78*i - 1253. Let d be l(-16). Suppose 0*g - 8 = 4*g. Let f = g + 5. Let u(k) = -k + 3. Let c(j) = -j**2 - j + 5. What is d*u(s) + f*c(s)?\nAnswer: -3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 54*q**2 - 2*q. Let j be z(-2). Let v be 10\/(-4)*33\/j. Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 725699 - 10*c + 2*c**2 - 362849 + 10*c - 362850.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 3*f - f**2 + 2*f**2 + 1 - 2*f. Suppose -2*q - 8 = -3*q. Suppose 0 = 5*x - q*x - 6. What is y(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -1. Suppose d + 2*g - 5 = 0, -7*d + 4*g - 6 = -5*d. Let n be d + -1 + 63\/7. What is the smallest value in n, z, 1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 - 14748*h**3 - 44280*h**2 - 16*h + 59040 = 0?\nAnswer: -2, 1, 3690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9 + 2\/9*j**2 + 2\/3*j.\nAnswer: 2*(j + 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101608 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 22*x = 9, -i = 2*x - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -45509?\nAnswer: -4\/45509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15112, 15093, 15064, 15019, 14952, 14857, 14728?\nAnswer: 14559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, t: 1, i: 2, e: 2, g: 4}. Give prob of picking 2 e and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206 and 11?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + c + 1 = 7*o, 5*o - 3*c = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-71 - -63) + 10572 + 3?\nAnswer: 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 1}. What is prob of sequence xrx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**3\/3 + 222. Let a(s) = -s**3. Determine 2*a(r) - v(r).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = w + 3*w - 2, 4*w + 2 = c. Let a = -9 - -18. Suppose h - 5*j = -h - 15, -a = -3*j. Solve -o - c*z + 7 = 16, -3*o + 5*z - 5 = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*n**2 + 1 + 24*n**2 + 2 - 83*n**2 in the form t*n**2 + i + z*n and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6+-1.11\nAnswer: 4.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280979286 divided by 6.\nAnswer: -46829881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + -10 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48709 by 80.\nAnswer: -48709\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -1)*(-2)\/(-5). Suppose h*f = 5*f - 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. Suppose -2*p + p = -5*k + 11, r = 3*p + 5*k - 47. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*b. Suppose -b*m - 1 = 3. Which is greater: -6\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**3*n - 2*j**3 + 9*j**2*n - 197*j**2 - 2*n wrt n.\nAnswer: 7*j**3 + 9*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097.318kg in tonnes?\nAnswer: 6.097318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -445 + 4001\/9. What is the nearest to 0.1 in -0.3, 2, -5\/2, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 18 (c) -1\/2464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1))**(-33)\/(q**(1\/2)*q)**2)**(-2\/71) assuming q is positive.\nAnswer: q**(204\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -600 - 1?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3231, 0, 4 in descending order.\nAnswer: 3231, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 + 7*l + 6. Let m be y(7). Let w = m - -3. Let r = -52 - -97. Calculate the highest common divisor of r and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 39. Let d be (v\/(-32))\/(3\/4). Solve -j + 16 = -4*p, 5*j + 2*p = d*p - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184873 is divided by 184549.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**3 - 7*r**2 - r - 5. Let z(p) be the first derivative of -p**4 - 2*p**3 - p**2\/2 - 4*p + 12. What is 6*y(i) - 7*z(i)?\nAnswer: -2*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14834, 14835, 14838, 14837, 14826, 14799, 14750?\n\"Answer: -u**3 + 7*u**2 - 13*u + 14841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(-3*(-2 + sqrt(28)\/sqrt(4) - (2 + sqrt(252) + sqrt(7))) + -4))**2.\nAnswer: 5328*sqrt(7) + 37657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:02 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.988, -3\/2, 268, 0.5?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Which is the smallest value? (a) 4 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3182390 - 0.014.\nAnswer: 3182389.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.507 greater than -32472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115527, -462720, -1041583, -1852116, -2894319, -4168192, -5673735?\n\"Answer: -115835*m**2 + 312*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 - 5*m - 2. Let z be p(-4). Let u be -151*(z - 4 - -1). Suppose -b - 1 = 0, 0*r + b = -4*r + u. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3187910\nAnswer: 12751640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*g + 16, 12 = 3*g + b - 4*b. What is l in -21*l - g*l**2 - 8*l + 38*l = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21838 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 0. Let b be (4\/x)\/(1\/12). Let y = b + 26. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20801 (b) 5 (c) -2\/9 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10573*s**3 - 5943*s**2 + 50. Let z(g) = g**3 + g**2 - 5. Let r(f) = y(f) + 10*z(f). What is the third derivative of r(b) wrt b?\nAnswer: 63498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -24 - (-1)\/(-2)*(-9 + 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 73\/6 - 1\/6. Suppose 0 = -6*w + 10*w - h. Suppose -4*m = 2*u + 2, -w*m = -5*u - 0*u + 60. Solve 5*o + 2*g - 15 = 0, o + 0*o + u = 2*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169, -159, -149, -139?\n\"Answer: 10*s - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 151181?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/6 + -7\/30. Let h = -7253928\/297295 - 14\/59459. Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 208893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/(-12)*2\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/25 - -2)*15\/18. Let l be (-15)\/(-22)*(-88)\/(-110). What is the nearest to 2\/7 in l, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553316, -553318, -553320, -553322, -553324?\nAnswer: -553326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 3*j + 11*j + (7 - 7 + 7*j)*(-3 + 2 - 2).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v + 9*v + 13*v**2 + 17*v to the form f + d*v**2 + k*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -6*1*sqrt(77))\/(sqrt(7) - ((sqrt(49) - sqrt(441)) + sqrt(49))\/sqrt(7)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and -73\/22608.\nAnswer: 113040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 15. Suppose 2*i - 3*j - 6 = 0, 0 = -5*i + 11*j - u*j - 4. Let n be ((-2)\/20)\/(1\/(-4)). Which is the third smallest value? (a) i (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, -18, -219, -420?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-6)\/(-9)*(-2395)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 14 + -13 - -34.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 36 = -t. Let i(m) = -5*m. Let g(v) = 11*v. Calculate t*g(w) - 10*i(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 13*w + 4*w)*(w**2 - 4*w**2 + 4*w**2) + 5*w**3 - w**3 - 2*w**3 + w**3 + 2*w**3 - 7*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 3, n: 2, c: 1, z: 2, g: 2}. What is prob of picking 1 g and 1 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(2\/21))**(-1\/17)*h**(-3\/7)\/(h*h\/((((h\/(h**(1\/6)*h)*h)\/h)\/h)\/h))*(h*h**(2\/15)*h)\/h**(2\/5) assuming h is positive.\nAnswer: h**(-4373\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-5)\/(30\/(-114)))\/(108\/(-828)*-23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - z + 4*z + 40, -z + 100 = 5*j. Suppose 0 = -4*b - 0*b + j. Let g = -21 + 24. Put 2, -5, b, g in decreasing order.\nAnswer: b, g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 3. Suppose -2*x - 3 = -19. Let d be u(x). Put d, -1, -4 in ascending order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-26) - (-88)\/104. Is (-13)\/((6\/6)\/((-1)\/q)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(30)\/sqrt(3)) - sqrt(21))\/(sqrt(21)\/(1*sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 2) + (-641)\/(-4). Let i = 165 - r. Put 3\/2, 1\/4, i in decreasing order.\nAnswer: 3\/2, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/5))\/((v\/(v**5\/v))\/v)*((v\/(v\/(v*v**8)))\/v)\/((v*v**(-11)*v)\/v*v) assuming v is positive.\nAnswer: v**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-15) + (-13)\/(-3) - -1. Suppose -3*r + 2*w + 8493 = 5*w, -b*r - w = -14163. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-6)*(-8)\/10. Suppose 4*h + 1651 - 404 = 3*l, 0 = -d*l - 5*h + 793. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**3 - 4*d**2 + 3*d - 45. Let j(k) = 19*k**3 - 7*k**2 + 5*k - 91. Let l(g) = 3*j(g) - 5*w(g). Differentiate l(y) wrt y.\nAnswer: 21*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 2, v: 3, n: 6}. Give prob of picking 1 n and 2 b.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300355549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/657951 or 1.4?\nAnswer: -2\/657951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15884 and 36942840?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16233, 16200, 16167?\nAnswer: 16134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-104)\/20)\/(-1*(-2)\/(-15)). What is the closest to s in 1\/2, -4, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axmauxuaa. What is prob of sequence axu?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 12*r = -5*n - 50, 25 = -5*r for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7173.063 kilograms?\nAnswer: 7173063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.5. Let u(i) = -2*i - 14. Let t be u(-11). Let r = 26\/3 - t. Which is the nearest to r? (a) -3\/7 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2093, 4187, 6267, 8327, 10361?\n\"Answer: -j**3 - j**2 + 2104*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*w - 4*f + 33, 5*w - 5*f = 70. Suppose 0 = -y - 2*y - 4*r + 472, -5*r = -20. Let q = y + -147. Solve 20 = q*l + 3*v, 2*l - w = -4*v + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6048 and 1270584.\nAnswer: 15247008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -215.9. Let p = -174 + l. What is the closest to -1 in -8\/5, p, 0.1?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -90*u**5 - 2475*u**4 - 23075*u**3 - 76275*u**2 - 30375*u + 7290 = 0.\nAnswer: -9, -2\/3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 17148 + 66082 = 4*t, -5*m + 5*t + 138670 = 0. What are the prime factors of m?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 6*n - 8 = 0. Let u(v) be the first derivative of -n*v**3 - 2*v - 2\/5*v**5 + 2 - 2*v**4 - 4*v**2. Factor u(y).\nAnswer: -2*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66.781*0.6\nAnswer: 40.0686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/7 (b) 4\/5 (c) 16 (d) 4 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48144 divided by 8?\nAnswer: 6018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098338783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22869382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-14)\/1512). What is the highest common divisor of 378 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111220*u**6 - 121507*u**2 wrt u?\nAnswer: 13346400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 8. Let j be p(-2). What is the greatest common factor of j and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64825730.99999925 - 64825739. Let q = 8 + k. Round q to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 488091*r**2 + 571*r**4 - 487883*r**2 + 307*r**4 + 426*r**4 wrt r.\nAnswer: 31296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:41 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/13, 2\/29, 8\/5, -1.2, -0.3, -2\/19?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-4 - (-34 - 0)). Let j = 33 + w. Suppose 5*i + 44 = j*o - 156, 2*o - 64 = -2*i. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 h when four letters picked without replacement from {o: 4, i: 11, h: 4}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*d + 42, -6*d + 22 = n - 9*d. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 150 in descending order.\nAnswer: 150, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 1\/2*f**3 + 3*f**2 + 0*f - 7\/6*f**4 + 0. What are the prime factors of y(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 3.7, 3, -2, -5, 2.5, 4 in increasing order.\nAnswer: -36, -5, -2, 2.5, 3, 3.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 23561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -334, -1090, -2564, -4996, -8626?\nAnswer: -13694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -3 (b) 1\/2 (c) 2 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-98)*-3548*1\/(-2). Let q = -32023\/252 + h. Calculate the common denominator of q and 83\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 12*p**5\/5 + 2*p**4 - 28*p**3\/3 + 4*p**2 + 16. Factor o(x).\nAnswer: 4*x*(x - 1)*(x + 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a minute?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2533 and 20030.\nAnswer: 50735990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141503 (base 8) in base 9?\nAnswer: 75511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 184 = -5*o, -3*o + 3 = 0. Suppose -l - 2*c = -12, c = -l + 1 + 12. What is the greatest common divisor of l and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99240756*f**6 - 143158098*f**2?\nAnswer: -11908890720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1220253 (base 8) to base 11\nAnswer: 20a524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab - 59?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*o + 275*o - 139*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-50))\/1)\/(360\/96).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 589, 1367, 2501, 4015, 5933, 8279?\n\"Answer: 4*b**3 + 142*b**2 - 8*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*f + 9, -315*z - 4*f - 17 = -310*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -417, -400, -371, -330, -277?\n\"Answer: 6*h**2 - h - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 17.88 (c) -191 (d) 0.1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7))**(8\/13))**21 assuming y is positive.\nAnswer: y**(216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 64 = -3*i, 4*g + 73 = i + 2*i. Let j be (-116)\/(-20) - 6 - 636\/(-5). Suppose 5*f - 3*b - i = 80, -5*f - 3*b + j = 0. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/22)\/((-258)\/(-1892)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/11 + (-6)\/33. What is the common denominator of (-264)\/54 + (h - -3) and (4*3\/28)\/(20\/(-14))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92637 + 69104 + 246590 = 7553*c - 22190 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 7, o: 2}. What is prob of picking 1 n, 1 o, and 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 - -423. Suppose 0 = -5*l + 9*l - z. Let h = l - 17. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -32, -5\/2, -3\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9\/(-1) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8 + (-37)\/(-2). Suppose -3*u = 0, u + 16 = -0*w + 2*w. Calculate the remainder when 136\/3 - 6\/k is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666513 > 3666556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 10*j - 1. Let x be g(9). Let n = x + -6. Factor -w**2 + 2*w**2 - n + 0*w**2 - w.\nAnswer: (w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -6, 17*i - 2895 = 15*i - s. Is i >= 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -11*a**5\/120 - 7*a**4\/24 - a**3\/3 - 3. Let z(p) be the third derivative of q(p). Let s be z(-6). Round s to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 110 in descending order.\nAnswer: 110, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1133628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.55945ns in days?\nAnswer: 0.000000000002390734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 143021040 (base 5) in base 15?\nAnswer: ec980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-126)\/15)\/7)\/(4\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13563514774431 take away 17?\nAnswer: 13563514774414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s + 0*s**3 - 10*s**2 + 0 - 3\/20*s**5 + 0*s**4. Let u(k) be the third derivative of -k**4\/8 + 5*k**2. Determine a(u(h)).\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4988 = 7*c - 11*c. Let m = c - 1858. Let j = m - -2429\/4. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*v = 6, 7*v = 6*v - 2. Let z(q) be the third derivative of 12*q**2 + 0 - 1\/20*q**5 - 2\/3*q**3 - 1\/120*q**6 + 1\/24*q**4 + a*q. What is z(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3868605 by -5.\nAnswer: 773721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {t: 1, r: 3, e: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1*4\/(-20)). Suppose -a + q - 1 = 2*q, -a - v*q = 1. Let x(z) = 2*z**2 - 3*z - 1. Let l(n) = n**2 - n + 1. What is a*x(m) + l(m)?\nAnswer: -m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -47, -5, 75, 205?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 + -35121\nAnswer: -35121.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27 + 29 = 0. Let m = d + -9. Let h(i) = 4*i**2 + 47*i - 54. What is the lowest common multiple of m and h(-13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 4, w: 1, s: 5, c: 4, z: 3}. Give prob of sequence zhzp.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 96 = 0. What is the remainder when l is divided by ((-102)\/24)\/(2\/(-8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + 3 + (1 + -1 + (sqrt(17) - (-2*sqrt(17) + 5)))**2.\nAnswer: -30*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -27a?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.4, -1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*a + 12, 0 = 2*k + 2*k + 16. Let u(h) = 4*h**2 + 14*h - 5. Let s be u(-4). Suppose 0*z = -s*z - p + 505, -4*z + 5*p + 648 = a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581.883 micrograms in tonnes?\nAnswer: 0.000000002581883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 14 = 5*t + 60, -3*m = 5*t - 178. Let v = 53 - m. Let i(y) = -y**3 - y**2 + 1. What is i(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76334*b + 76333*b + 2*b**2 - 3 - 6 + 2*b**3 to the form r + o*b**3 + m*b**2 + g*b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u. Suppose -3 = m - 0*d + 3*d, 0 = -3*m + 5*d + 19. Let h(v) = -v + 3 - v - m. Determine h(i(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-1))\/((-32)\/(-576)*-63)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 622917409 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j*j\/(j\/((j**(-2\/11)*j)\/j)))**33)**(-9\/7) assuming j is positive.\nAnswer: j**(-837\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. Let r = -6 + 13. Let i(a) = -a - 3. Let d(l) = r*t(l) - 4*i(l). What is the first derivative of d(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpbjy. Give prob of sequence wb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 23 - 8 + 16*l - 87*l**2 - l**3 + 73*l**2. Let x be q(-15). Solve 4*a = 5*r + 1, -2*r + x*r + 26 = 5*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**0))\/k)\/(k\/(k*k**4)))**(-49) assuming k is positive.\nAnswer: k**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/35862 and 77\/401432?\nAnswer: 51784728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4 - 3 + 5*h - 10*h + 4*h. Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.613 and -0.256.\nAnswer: -0.412928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -169*o**2 + 181*o**2 + 156*o**2. Let d(j) = j**2. Give t(d(g)).\nAnswer: 168*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + 0)*-6 - sqrt(175)) + -2*sqrt(175)*-2)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*k + 2*h**3*r**3 + 2*h**2*r**3 + 5*h*k*r**3 + k*r**3 - 28*k*r wrt h.\nAnswer: 6*h*k + 12*h*r**3 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4029807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16730336084.99972 + 16729961967. Let y = m - -374132. Let f = 14 - y. Round f to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.52. Sort z, -3\/4, 0.2 in descending order.\nAnswer: z, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -17, 10.269, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55221691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3\/5, 4\/3, -2\/5, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) -1\/19306 (c) 2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*(i\/((i\/(i\/((i\/(i**(2\/5)*i))\/i*i)))\/i))\/i*i*(i**(-11)*i)**(-3\/19))**(19\/6) assuming i is positive.\nAnswer: i**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, e: 6}. What is prob of sequence hhhe?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*1136\/426.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198 - -216. Suppose -3*f - h - 68 + t = 0, 3*h = -4*f + 463. Let q = -82 + f. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r + 1. Let w be z(5). Let s be ((-4)\/w)\/((-6)\/27). List the prime factors of (-1 + 0 - s)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = j + 24 - 2, n = -5*j + 22. Let y be (-74)\/(-84) - 2\/n - 1. Let s = -0.7 - -0.8. Which is the closest to s? (a) 0 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:18 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263873 = 131*w - 39785. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -1.916, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*-2*sqrt(1250)*-4*-4*4.\nAnswer: 12800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8090*v - 90 = 8081*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, g: 3, n: 2}. What is prob of picking 3 g?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiizzzyziyzzziiyxy. Give prob of picking 1 x and 1 i.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86308141919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + n + 0*n)*(-5 + 42 + 14) to the form s + j*n and give j.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.3488 - -0.1388. Let k = -0.81 - t. What is k rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let v(z) = -2*z - 4. Let q be v(-3). Let x be ((-1)\/q)\/((-1)\/4). Let m(y) = x*y - 2 + 2. Determine r(m(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - b**2 + 10 - 10 to the form h*b + d*b**2 + o and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296 - -5034\/17. Let t = 242 - 167. Let x = t - 73. Which is the second biggest value? (a) 3 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**4 + 4*c**3 - 6*c**2 - 2*c - 2. Let k(i) = -i**4 - i**3 - i**2 - i - 1. Let p(s) = -2*d(s) + 4*k(s). Factor p(w).\nAnswer: 4*w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 1, k: 1, g: 1, z: 1}. What is prob of picking 1 k, 1 i, 1 z, and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116064\/1612*1\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, 2*k - 1879 = 2*x + 4455. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257 + -267. Calculate the common denominator of (h\/(4400\/33))\/(6\/218) and 103\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.624 to 1 dp.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from cccchcchchaahacccc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 19095029.\nAnswer: 19095024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -64, -47, 26, 173, 412, 761?\n\"Answer: 3*s**3 + s**2 - 45*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*x = -95*x + 130*x + 1520 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g - 1. Let b(x) = -x**2 + 5*x + 3. Let s be b(6). What is the lowest common multiple of 22 and u(s)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgpvgvgypggygvnv. What is prob of sequence vvyv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.05, 6\/7, 4, 7, -6772?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 345*s - s**3 - 345*s - 2*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.26, -162, 0.3, -355.\nAnswer: -355, -162, -0.26, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007077024798 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115398886?\nAnswer: 2, 57699443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = -2*m + 14, -5*m = -k - 13. What is the third derivative of -3*n**2 - n**m - n**2 + 6*n**3 wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -65\/4. Let f = 76.99 + -66.99. Which is the third biggest value? (a) -0.1 (b) 0.01 (c) f (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:53 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -184. Suppose -3*l = -62 + n. Solve 5*s - 12 = m + l, 2*s = 3*m + 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102734 is divided by 169?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -y - 2*s, -y + 9 = 3*s - 8. Suppose 0 = y*j - 3 + 13. Let h(q) = -3*q**3 - 2*q - 1. Let l(a) = 4*a**3 + 3*a + 2. Give j*l(g) - 3*h(g).\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 5?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 41 = -4*k, 55*i - k - 11 = 57*i. Let p(a) = a. Let x(j) = 4*j**2 + 2*j + 2. Calculate i*x(c) + 2*p(c).\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -8*z**6\/3 - 194*z**5 - 6375*z**4\/4 - 4420*z**3\/3 - 1075*z**2\/2 + 7383*z. Let x(g) = 0. What is g?\nAnswer: -43, -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*b - 338 - 362 = 0, -n + 215 = 3*b. Suppose -n = 5*g - 10*g. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -582*t**3 - 77820*t**2 + 2 + 207*t**3 - 2*t - 2 + 77822*t**2 to the form y + a*t**2 + p*t + z*t**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9558621, -9558623, -9558625, -9558627, -9558629, -9558631?\nAnswer: -9558633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + n + 2. Let q(l) = 4*l**2 + 2*l + 4. Let d be (-36)\/(-14) + 5\/(350\/30). Calculate d*q(j) - 5*c(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215729446?\nAnswer: 2, 107864723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 8, m: 1, q: 3, u: 1}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120.98 - 78.235141.\nAnswer: -199.215141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 822252 and 9.\nAnswer: 2466756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11985*h + 7980 = -11970*h. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose 0 = -0*o - 4*o + l. Let h be 3 - (0 - 0) - o. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*m + 145*m + 134*m + 336 = -141*m for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1090*y**2 + 116*y - 1072*y**2 + 6768*y + 2160*y**2 - 5923682.\nAnswer: -2*(y - 1721)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -155, -98, -41, 10, 49, 70, 67, 34?\n\"Answer: -x**3 + 6*x**2 + 46*x - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2243*g + 4. Let t(q) = -4490*q + 11. Give -5*b(f) + 2*t(f).\nAnswer: 2235*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*f - 3*b, b - 28 = -2*f - 40 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488317 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 - 12*c**3 - 52*c**2 + 108*c + 144 = 0.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33497 and 115251.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-2))\/(22*(-875)\/(-3080)*(-2)\/(-10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - 1)*(1\/(-22) + (-2050)\/4510)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*650859.\nAnswer: -130171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 333 - -311. Suppose -3*z + a = -229. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 3, z: 1}. What is prob of picking 1 n and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/5 - 132*x**2\/5 = 0.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2512*f*s - 2887*f + s**4 wrt s.\nAnswer: -2512*f + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*n**2 + 941*n**2 - 452*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -152, -91 in increasing order.\nAnswer: -152, -91, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -2 - (57 - 105)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010000110000010 (base 2) in base 9?\nAnswer: 842004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 191*a = 186*a - 60, -4*a - 21 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 2*c - 6. Let h(w) = w**3 + 5*w**2 - 3*w - 1. Let x be h(-5). Let m = 17 - x. Is r(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -44, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.079 + -0.251. Let g = j - 6.67. What is the closest to g in 2\/13, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065140.\nAnswer: 2, 5, 19, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((3\/1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:24 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280629 to the power of 1\/2, to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16520713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -259, -399, -555, -733, -939?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 635 + -635.5. Which is the nearest to 121? (a) 4 (b) -0.1 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2)*l)**(14\/9) assuming l is positive.\nAnswer: l**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, 47 in decreasing order.\nAnswer: 47, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 31) + -7 + (0 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/8*4\/(-2). What is the units digit of ((-6)\/(-4))\/(j\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-15)*138\/1196*2\/(-3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.0583561 + 5?\nAnswer: -9.0583561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/2 + 7*h**3\/3 + 5*h**2. Differentiate a(q) with respect to q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3. Let l = -0.1 - x. Suppose -4*f = 4*d - 4, 0*d = 3*f + 5*d - 13. Which is the closest to -0.1? (a) l (b) f (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 146? (a) 2\/87 (b) 3 (c) -4 (d) -6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {b: 3, j: 8, g: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 70002425.5 + -15.2\nAnswer: 70002410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*o + 2*l, -10 = 8*o - 6*o + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c*g*q**2 - c*g*q*z**2 + c*q**3*z + 139*g*q**3*z**2 - g*q**3*z + 4*g*q*z**2 + 50*q**3 wrt z.\nAnswer: -2*c*g*q + 278*g*q**3 + 8*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*(-12)\/2*(-9)\/405.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1176 by -12.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(236\/(-7552))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + g - 3 + 21, 0 = 3*g + 9. Put 1, -5, d in increasing order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-25)*832\/112)\/((-18)\/(-45))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:21 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*j - j. Let i be 2\/(-12) + (9\/72)\/((-33)\/220). Let p(m) = -m**2. Let b(y) = 5*y**2 - y + 1. Determine i*b(x) + j*p(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, 5, 4, 1, -4, -5 in descending order.\nAnswer: 5, 4, 1, 0, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 1, i: 1, z: 2, k: 1}. What is prob of sequence zku?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -1062 + 1042 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -l + 5*l, 3*p + 5*l = -8. Let c be 2*-1*-6 - 1. Solve -p*u - j - c = -4*j, -j + 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 18*v - 234 = 0. Is ((-35)\/126 + (-4)\/v)*-2122 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -1)*(-4)\/8. Let t = -1 - -5. Solve x = -4*i + 1, -x + t = -5*i + o*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1383*y**4 - 130 + 1489*y**4 + 822*y**4 with respect to y.\nAnswer: 3712*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose 5*x + d*x - 75 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 70*b - 68*b. Sort b, -6, -4 in ascending order.\nAnswer: -6, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 - 12*f**4 - 16*f**3 + 48*f**2 - 16*f = 0.\nAnswer: -2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 536 - 383 = 0. Solve 11 = -4*k - 5*b, -3*k + 11*b = t*b + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875842505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(40\/(-16)*9\/15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2584 greater than -21024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbbh when four letters picked without replacement from {h: 13, b: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1900 + 1896)*((-213)\/4)\/((-15)\/10 + 3)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 862608.09 to the nearest 1000.\nAnswer: 863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1449 (b) -0.1 (c) 0.01 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21007100 - -3?\nAnswer: -21007075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*f + 190*f - 377*f - 8*f**2 - 2 - 2*f**3 + 5 to k*f**3 + c*f**2 + y + v*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:52 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -250, 4, -4, 5 in decreasing order.\nAnswer: 5, 4, 0, -4, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 + 46*q + 251. What is r(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*l + 2*l - 23612, 0 = -l - 5*f + 5939. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 > -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -111*q**3 - 11*q**2 - 6*q - 11. Let t(n) = 22*n**3 + 2*n**2 + n + 2. Suppose 26*x + 174 = -30*x + 62. Give x*l(s) - 11*t(s).\nAnswer: -20*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 59*h**3 + 89 + 67*h**3 - 42.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 - 205. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59497*y**4 - 101*y**3 + 10139755*y**2 - 2 wrt y.\nAnswer: 1427928*y - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55769 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 40 = 9*m. Suppose -5*n + 19 = -2*t, 5*t - 17 - m = -2*n. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1774727468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 148630 = -c + 148504, -3*p = -10*c + 166 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnud when four letters picked without replacement from uczunwcd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19150164 divided by 3921\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -g + 10, 3*f - g + 14 = 4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 16*r**2 + 7*r - 3. Give y(12).\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1884781 is divided by 21916.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-48)\/2*(-6)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, l: 12}. Give prob of sequence lul.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:11 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-236)\/3 - (-4)\/6. Suppose 133 = -2*f + f. Let m = f - v. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(((x\/x**(1\/3)*x)\/x)\/x)))**(-4))**(31\/2))**(2\/147) assuming x is positive.\nAnswer: x**(124\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, h: 5}. What is prob of picking 1 y and 1 h?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41335406.\nAnswer: 2, 7, 313, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Let d(j) = 125*j**2 - 44*j - 17. Determine d(n(c)).\nAnswer: 500*c**4 + 88*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*o - a - 28, 5*o = -2*a - 57. Let k(r) = -11*r - 69*r**3 + 1 - 15*r**2 + 68*r**3 + 3*r**2. Let m be k(o). Sort m, -5, -2 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-278)*22\/(-165)*60\/10.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 8*a**2 - a - 35. Let f be s(-6). Let t = -169 - f. Solve i + 0*d = 2*d + 7, -d - t = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -9*p**8\/56 + p**4\/6 + 5*p. What is the third derivative of r(n) wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251104818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 58*w**3 + 8*w**2 + 88*w - 2. Determine i(-2).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -208, -1353, -3260, -5929, -9360?\n\"Answer: -381*i**2 - 2*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = p + 6. Suppose 0 = -2*g + p + 5. Suppose 0 = 16*j - 411 - 677. Calculate the remainder when j is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57159, 72151, 87143?\n\"Answer: 14992*d + 42167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvxd when four letters picked without replacement from {c: 3, g: 3, d: 2, b: 1, v: 1, x: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 2, -4, -14, -28?\n\"Answer: -2*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooqqqqqqqqoqqoqqq. Give prob of sequence qqo.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {o: 1, t: 9, v: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 689 + 9381?\nAnswer: 9a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.1 - -17. What is the fourth smallest value in -1, -0.3, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3350.792l?\nAnswer: 3350792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/9 in -5\/108, 2\/7, -4?\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from wffffwnw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16860036353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*g - 4*g - 218. Solve -g*t + 4*t = -f + 5, -4*f - 25 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11740758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -26*m + 75. Suppose -20*f + m*f + 40 = 0. Let d be (-1)\/(3\/(-117))*f\/6. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/124*(-4)\/(-3)*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**6\/3 - 8*z**5\/5 + 2*z**4 + 16*z**3\/3 - 2*z**2 - 8*z - 5. Determine w, given that g(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2 + 2. Suppose p*j - a - 12 = 4*a, 2*a = 0. Suppose -2 = 5*b - g + 3, -j*b + g = 5. Solve -2*s = -m + 3, 0 = -s - b*m + 4*m + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20555, 20548, 20541, 20534, 20527, 20520?\nAnswer: 20513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 22. Let m be (-4)\/18 - (-58)\/r. Let z(j) = 2*j**3 - 2*j**2 + j - 4. What is the remainder when z(m) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.142 + 0.142. Which is the nearest to 2\/7? (a) -1\/9 (b) -2\/27 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:40 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2212686 is divided by 13658?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 44*o + 1. Let d be t(3). Let i be (-1)\/(-5) - d\/240. Let m = -5\/16 + i. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 96 = -11*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.4 in 0.5, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/3 + 46045*b**2\/3 - 552864*b + 4976748 = 0. Calculate b.\nAnswer: -46081, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99692 is divided by 3677?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 8. Let h(w) = -2*w - 1. Let p be h(-4). List the prime factors of p\/(7\/o)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -560 - 308 + 91. Calculate the highest common factor of 15207 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 4. Let d(v) = -v**3 - 6*v**2 - 7*v - 1. Let x be d(-5). What is the units digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 68*z - 15. Let o(y) = 73*y - 20. Let i(j) = 3*o(j) - 4*r(j). Let w(h) = 3*h**2 + 2*h. What is i(w(q))?\nAnswer: -159*q**2 - 106*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.022? (a) -2\/7 (b) 0.2 (c) -8\/87 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/12 + 5*w**3\/6 - 3*w**2 - 17*w. What is the remainder when p(4) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092582248 to 7 dps.\nAnswer: 0.0000926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7726*v - 2 = 3*k + 7728*v, -3*k - k = 2*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(5\/8)*d*d**11)\/(((d\/((d**(-7\/2)\/d)\/d))\/d)\/(d**(-3\/14)\/d)) assuming d is positive.\nAnswer: d**(317\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 2\/11 (c) 1.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246152?\nAnswer: 2, 29, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {f: 11, t: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/((-8)\/280).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233414434 + 3?\nAnswer: -233414431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 + 4 - 19*v as n + m*v and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 29*b**2 - 14*b - 48. What is the tens digit of n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huhu when four letters picked without replacement from kkkhkuhkkkhikkhkkuhi.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*i**2 + 12*i - 18*i**2 - 19*i**2 + 67*i**2 to the form d*i + u*i**2 + w and give u.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.21 + -3.41. Which is the second biggest value? (a) -1.2 (b) 7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*x - 3128 + 2408 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -7*v + 555. Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20703924 rounded to the nearest one hundred thousand?\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.82392 - -0.17608. Sort l, 6, -29, -3, -0.5 in descending order.\nAnswer: 6, l, -0.5, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/2)\/l*(l*(l**2*l)\/l)\/l)\/(l**(-2\/5)\/l*l)**(-15) assuming l is positive.\nAnswer: l**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -454 + 208. Let n = -176 - f. Let s = 7 + 3. Calculate the highest common factor of n and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose -4 = -0*d - p*d. What is the second derivative of 2*n**d + 29 + 2*n + 4*n - 29 wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6)*l*l\/((l*l\/((l*l**(3\/7)\/l)\/l))\/l))\/((l*l**(-4)\/l*l)\/(l**6*l)) assuming l is positive.\nAnswer: l**(122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -24 (c) -26 (d) -3\/2 (e) -666 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3015.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-65)\/(-39))\/(1\/219)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 525 - 1?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2502927 - 2\nAnswer: -2502929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -156\/7 - 2\/7*n**2 + 58\/7*n = 0.\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151349 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.292 - 554.292. Let l = c + 552.6. Put -0.4, -2, l in ascending order.\nAnswer: -2, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + b**2 - 5. Let j(z) = -1 + 6 - 3*z**3 + 4 - 2*z**2. Suppose 0 = -4*g - 0*g - 12. What is g*j(q) - 5*c(q)?\nAnswer: -q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**3 - 1. Let t be ((11 + -9)*(-3 + 2))\/2. Determine g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8068*j + 4817*j + 7933*j)*(0 + 10 - 2) to the form a + o*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.28 and 0.19929.\nAnswer: -0.08071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47539 and 3836.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-7392)*(-7 - 2 - -2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/20300 and -69\/5053685?\nAnswer: 101073700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -8, -4, 3 in ascending order.\nAnswer: -8, -4, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3918 divided by -1959.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/4215 and 29\/150?\nAnswer: 42150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t - s = -79*t + 27*t + 22, 4*t = 5*s + 308 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 2*b. Suppose -772*f + 5257 = 1397. Sort -3, b, f in descending order.\nAnswer: f, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2917*s**2 + 7*s. Let r be o(4). What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let x = 1 + o. Suppose 0*z - 21 = -x*z. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*k**3 - 2*f**3*k + 28*f**3 - f - 210*k**3 wrt f?\nAnswer: 18*f*k**3 - 12*f*k + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1138727\/(-183084) + ((-35)\/(-165))\/(-7)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80)*-1*4*1 + 2.\nAnswer: -16*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -57, -78, -93, -102, -105, -102?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 234998 and 0.2.\nAnswer: 234998.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d**2 + 3*d**2 - d)*((3*d + 2 - 2)*(4 - 2 + 0) + 9*d + 12*d + 2*d).\nAnswer: 29*d**3 + 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -12*d + 14. Let f(p) = -24628 + 7*p**d + 24628. Let u(b) = -43*b. What is u(f(t))?\nAnswer: -301*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169\/8 - 195\/8. Find the common denominator of k and ((-79)\/3)\/(6\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -13*x**3 + 78*x**2 + 2. Let r(q) = -38*q**3 + 232*q**2 + 7. Let v(u) = 2*r(u) - 7*s(u). What is the third derivative of v(f) wrt f?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 8*m - 10. Let b = 68 - 41. Suppose -45*u = -83*u + 836. Suppose 35 = -u*a + b*a. Give d(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/4 of a hour?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/7120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11 = 4*n - n, -2*s = -2*n - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -120467 and -120467 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -495*s**2 - 55*s + 1 wrt s.\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, -126, -246, -406, -600, -822?\n\"Answer: h**3 - 29*h**2 + 6*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 332650, 332642, 332630, 332614?\n\"Answer: -2*f**2 - 2*f + 332654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z. Suppose n - 2*n = z. Let v(s) = 2*s**2 - s + s + n*s. Let l(w) = w. Determine l(v(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -18765\/10034 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let a = 51 + -51. What is the closest to -4 in a, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.573 + 5.273. Which is the nearest to -3\/2? (a) z (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - m**2 - 3*m - 7. Determine y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 22 = 10*w - 3*w + 127 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -3*f**5\/110 - 7*f**4\/66 - 2*f**3\/33 + 5*f + 5. Let t(c) be the first derivative of n(c). Factor t(v).\nAnswer: -2*v*(v + 2)*(3*v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91172, -90811, -90450, -90089, -89728, -89367?\nAnswer: -89006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.84498405 rounded to 2 decimal places?\nAnswer: -43.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/2 - (-1)\/2) + 5475\/(-365).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 98*z - 94*z + 3128 = 0, -2*s - z = -3098. Calculate the remainder when s is divided by 200.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 0*s - 9*s)*(2*s - 3*s + 5*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 77 and -90170.3.\nAnswer: -90093.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -131\/2 (b) -2\/3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/2*-1*1. Let a = -171 + 169. What are the prime factors of (i + 279)*a\/(-4)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55732 not equal to 55732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*g + 294806 - 5671, -g = 2*p - 192755. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (322\/(-42) - -6). What is the second biggest value in 3, 50, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from {z: 2, o: 16}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 - -237. Suppose 5*w - 4*n - 18 = -v*n, 1 = -n. Solve -p - 4*t = -2*p + 15, 0 = -4*p + w*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 3*b + 7*b - 3*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 145*i - 7980. What is m(55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 764 + 674. What is the highest common divisor of h and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let u(a) = 3455 - 8*a**2 - 3455. Calculate m(u(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**6\/540 + c**5\/270 + c**4\/108 - c**3\/27 + 15*c**2\/2 - 8. Let m(x) be the second derivative of p(x). Factor m(s).\nAnswer: -2*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84658 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8809215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 + f. Let g(y) = -8*y + 47. Let h be g(6). Let s(v) = -26*v**3 + 5*v**2 - 3*v + 57. Let q(n) = h*s(n) - 5*i(n). Differentiate q(p) wrt p.\nAnswer: 63*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 + 1 = 0. Let m be 8\/6 + (-2)\/2. Which is the third smallest value? (a) 4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-36))\/((-82)\/(-4059)*77)*(-45)\/(-2)\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159 divided by 209?\nAnswer: 4159\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.036 - -28.964. Let d = 26 - r. Which is the second smallest value? (a) 4\/3 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39899.3999998 + 39897.5. Let v = 1.9 + p. Round v to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/12951953 and -14\/20353069?\nAnswer: 142471483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 20*r + 22. Determine u(-15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/6, -9, 1\/27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260221 and 37.\nAnswer: -9628177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/45 and -127\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Suppose 5 = h*d - 3. Suppose 4*l - 37 - 5 = -d*z, -l = -3*z. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 5*q + 5. Let c be b(-5). Suppose 0 = 2*x - c*x + 9. Suppose x*p = -2 + 8. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3972124.9 rounded to the nearest ten thousand?\nAnswer: -3970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 815*m**2 - 817*m**2 + 7*m - 7*m. Let j(w) = 1 + 20*w - 27*w + 35*w. What is z(j(v))?\nAnswer: -1568*v**2 - 112*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, 1, 5, 2, 11 in descending order.\nAnswer: 17, 11, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 a when four letters picked without replacement from {p: 5, a: 7, z: 1}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/(-20) + (6\/(-5) - -1). Suppose -k*d - 1209 = -3*i + 123, 2*i + 4*d = 918. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 + 18*c**2 - 2*c + 11. Let d be a(12). Let m be 2\/(-1) - d\/(-36). Let l = m + 505\/9. Calculate the common denominator of l and -64\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8481, -68983, -233527, -554133, -1082821, -1871611, -2972523?\n\"Answer: -8670*z**3 - z**2 + 191*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let f(t) = 18*t. Determine r(f(i)).\nAnswer: 648*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016531 a multiple of 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 130\/71 (b) -3.98 (c) 1\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s + 9*s**2 + 21*s**2 + 0*s. Let w(a) be the third derivative of a**5\/60 - 122*a**2. Determine o(w(m)).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20444 and 141494?\nAnswer: 5376772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 45*f + 214. Let y be d(-42). Suppose -16*p = 3*x - 20*p - 507, 0 = 2*x - 2*p - y. What are the prime factors of x?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -590, -1192, -1808, -2444, -3106, -3800?\n\"Answer: -g**3 - g**2 - 592*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 605124645 + 5?\nAnswer: 605124653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15245612?\nAnswer: 2, 73, 109, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(432))**2 + sqrt(3) + 3 + (-5*sqrt(3))**2 - (5 + sqrt(18)\/(-3*sqrt(6)) + sqrt(3) + 3)).\nAnswer: -143*sqrt(3) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753 + 1753 + 1564*g**2.\nAnswer: 1564*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3))\/((t\/(t\/((t\/t**(11\/5)*t)\/t)))\/t)*t**3*t**(-18) assuming t is positive.\nAnswer: t**(-182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.97 + -624.97. Let a = z + 624. Put a, -4, -7 in descending order.\nAnswer: a, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 5*s + 88. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/6 - 139*b**2\/2 - 19321*b\/2 - 2685619\/6 = 0.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-4))\/(3\/(-12)). Let m be (r\/(-1))\/(3\/24). Find the second derivative of x + 5*x**2 - m*x + x - x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177281 is divided by 1304?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 0. Let f = 29737 + -29734. Suppose -3\/8*h**2 + t - 3\/8*h + 3\/8*h**4 + 3\/8*h**f = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*l + 242*l + 234*l + 3.\nAnswer: -24*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y**2 - 17*y - 27. Let r be h(-17). Let v = -38732\/9 + r. Factor v*k**2 - 2\/9*k**5 - 16\/9*k + 14\/9*k**4 - 4*k**3 + 0.\nAnswer: -2*k*(k - 2)**3*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and -66.851.\nAnswer: 16.71275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 10*m - 8. Suppose -3*j - 4 = 5*k - 29, 2*k + 16 = m*j. Factor -2*r**2 + 126*r + 3*r**k + 1 - 247*r + 123*r.\nAnswer: (r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/((-15)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*r + 18, 4*z - 3*z = -2*r + 7. Let p be (0 + 2)\/(r\/4). Suppose -51 = p*h + 4*i - 163, 76 = 3*h + i. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*14\/(-10)*2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 2. Let x(i) = -3 + 2 + 0. Let s(p) = w(p) + 4*x(p). List the prime factors of s(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9383*l**4 - 5982*l**3 - 39404182 wrt l.\nAnswer: 37532*l**3 - 17946*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 8*y**2 + 9*y - 2. What is the units digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 500*g + 10080 = 0. Calculate g.\nAnswer: 28, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.45 + 28.32. Let t = n - -0.93. Round t to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*(sqrt(99) + sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) + 1)) + 2) - sqrt(99))) + -2*(0 + sqrt(99))*5))**2.\nAnswer: -264*sqrt(11) + 47920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/5, -0.1, -4, 0.159, 15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**2 + 1245*y**5 - 1271*y**5 + 3*y**2 wrt y.\nAnswer: -1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 412550.\nAnswer: 412496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20110 - -12?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, m: 6, h: 3, a: 1, q: 1}. Give prob of picking 1 q, 1 h, and 1 a.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-5) + (-1 - -2). Suppose 7*z - v*z = 3*t - 5, 11 = -3*t - 4*z. Let f be (-1)\/(1\/((-2)\/(-2))). Is t greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (2 - 22))*1. Suppose 6*g - l = -4*g. Solve 3*a - g*v - 2 = 0, -5*v = a - v - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 2, j: 1, u: 5}. Give prob of sequence ppjc.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -1827?\nAnswer: -1826.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19615*h - 517 = 19597*h + 707 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + ((2*sqrt(98) + sqrt(98))*-5 - sqrt(98) - (0 + sqrt(98) + 1) - (2*sqrt(98) + sqrt(98) + 0 + 0))**2.\nAnswer: 280*sqrt(2) + 39194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 806570?\nAnswer: 806565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + -14. Let m = i - -33. Let t be 1*m\/(-9) - (7 + -8). Which is the second smallest value? (a) 1\/6 (b) 2\/19 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**2*z - 1450*j**2 + 2*j + 4*z + 3042 wrt j?\nAnswer: -12*j*z - 2900*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 - 14*d + 9. Let r = 30 - 23. List the prime factors of b(r).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 18. Let p(z) be the first derivative of -2*z - 1\/2*z**2 - 2. Let r(c) be the first derivative of p(c). Determine 18*r(x) + s(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3578759700 rounded to the nearest 1000000?\nAnswer: -3579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 5. Let p(v) = v**3 - v**2 + 5*v + 8. Is p(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 - 126021*p + 126024 = 0 for p.\nAnswer: -42008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) + (-160)\/(-330)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.8901 - 0.1099. Let z = 16.3 - -0.7. Let y = z + q. Which is the smallest value? (a) y (b) -2\/23 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)\/2*0. Let x be 4\/(0 + 1 + z). Suppose x*r - r = 72. Calculate the greatest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -55, -126, -225?\n\"Answer: -14*q**2 - q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-719*k**3 - 29*k**2 - 4*k**2 + k + 718*k**3 - 2)*(0 + 2 - 3) to s*k + r*k**2 + m + i*k**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:02 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93858 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21588505427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -837496*i**2*v + 2*i**2 + 11*i*v**4 - 5*i - 403941 wrt v.\nAnswer: -837496*i**2 + 44*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 35) + (5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*h**3*q**3 + h**3 - 3*h**2*q + 2*h*q**3*v - 102*h - 875*q**3*v + 59*q**2*v wrt q.\nAnswer: -378*h**3 + 12*h*v - 5250*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*b + 44. Factor -1\/2*o**3 + 0 - 2*o + 2*o**b.\nAnswer: -o*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*y + 12 = 0, -4*j - 4*y = -3*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -2. Let o = z - -8. Let b = o + 8. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 + 433 = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**2 - 383*t**2 + 113*t**2 + 1053 - 1055.\nAnswer: -352*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*1*-5 - (1 + sqrt(396)*-2) - (-5 + sqrt(396) + 3)*3)**2*2.\nAnswer: -720*sqrt(11) + 28562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222 + 0 + (13 - 17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -0.1, -3, 3\/4 in descending order.\nAnswer: 2, 3\/4, 0.3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w - 243 = -6543. What is the smallest common multiple of w and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/280 + 62*n**7\/525 + 34*n**6\/75 + 10*n**2 - 17. Suppose w(y) = 0. Calculate y.\nAnswer: -2, 0, 68\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*a + 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4352786, 8705571, 13058356?\nAnswer: 17411141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 389 = 232 - 796 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 84*i - 113. What is the units digit of v(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598757 or -4.2?\nAnswer: -598757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 11:22 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125321?\nAnswer: 7, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.813 + -4.813. Let v = -2.04 - -0.04. Put 1\/5, r, v in descending order.\nAnswer: r, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*t + 478 = 0, -39 = b - 5*t - 152. Calculate the remainder when 407 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*v = 3*t - 5, -3*t + 5 = v. Find the first derivative of 9*d**2 - 2*d**3 - 7*d**2 - 4*d**t - 54 wrt d.\nAnswer: -6*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1377 + 39*l + 42*l - 164*l + 44*l + 44*l to k*l + h and give h.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2108720 and 336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-2) - (-5)\/(-10). Let w(p) = p**3 + 7*p**2 + 9*p + 12. Let f be w(i). Let m(b) = -b + 1. Determine m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9960?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4465*j + 4514*j - 2)*(j + 2*j - j) + 0*j**2 + 3*j**2 + 4*j**2.\nAnswer: 105*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06088 - 0.106. Let l = y - -0.11561. Let g = 0.07 - l. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 472040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzucpuczupapub. What is prob of sequence ab?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82745\/(-120))\/67 + 10 + 10\/(-12).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25 + 9*m + 9*m - 15*m. Let x = -23 + 41. Is 8 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 8*p + 3. What are the prime factors of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3517, 7035, 10553, 14071?\n\"Answer: 3518*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/((w*w**5)\/w))\/(w**1)**(-5\/9)*(w**(3\/5)\/(w*(w*w**5)\/w*w))\/(w**(1\/3)*w)**(-15) assuming w is positive.\nAnswer: w**(322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 + -200. What are the prime factors of (c*(-300)\/(-32))\/((-6)\/16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 128 = -4*h, 0*h - h - 5*k = -36. What is the remainder when 246 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*h + 3*b, 0*h + 4 = 4*h + 3*b. Let f(j) = -j + 4. Let w be f(h). Solve -2*a - 5 + w = -n, 0 = 5*n - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 38 = -4*m, 11*a + 55 = 5*m + 6*a. What is the common denominator of -2*(-4 + 2) + (-58)\/15 and 5\/m + 25\/(-22)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*c = 60, -2*c + 6*c = -3*w + 55. Let h = -16 - -24. Let m = w - h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 5*d**3\/3 + 90. Let r(t) be the third derivative of 7*t**5\/20 + 20*t**2. Give r(b(n)).\nAnswer: 525*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35957298 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(108) + sqrt(108)*-2)*4 + (sqrt(108) - (sqrt(108) + (sqrt(108) - sqrt(108)*-1)))*-2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/48)\/(2\/66). Let k = 26 + c. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14 = -2*i + 4*j, j - 1 = 0. Let k(n) = -24*n + 1. List the prime factors of k(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 - 264. Let o be (-2*(-2)\/u)\/(3\/90). Solve -6*a = -4*a + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-9) + (-836)\/24 + -3 and (1\/7)\/(1\/(-27)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.99543 + -0.06457. Let c = j - -28.6. Let n = 53 + c. Round n to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2945 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 150*n + 5502. Let f be w(-103). Calculate the highest common divisor of f and 1715.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x, 5*x - 2*x + 78 = 3*m. Which is smaller: 23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(30\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + -2 - -3*sqrt(425) - sqrt(85)\/(sqrt(15)\/(sqrt(15)\/sqrt(5))).\nAnswer: -2 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5127 + 5251. Calculate the remainder when 487 is divided by k.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 - (0 + 0)\/(-3) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h**2 - h - 12. Let d(t) = 39*t**2 + t + 9. What is -3*d(v) - 2*r(v)?\nAnswer: -37*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 3. Let a be 12\/8 - 3 - 11\/(-2). What is n(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 20374534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11528933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 122*s**2 + 106*s + 145. Is j(-121) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*p = -1, 2*i + p - 6 = -1. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4068.8 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 3*s**4 - 2*s**4)*(100 + 38*s + 68 - 41*s).\nAnswer: 3*s**5 - 168*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5 - 0)\/265)\/(2\/(-4)). Which is the third biggest value? (a) -0.4 (b) 3 (c) h (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 611440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -171, -373, -693, -1125, -1663, -2301, -3033?\n\"Answer: t**3 - 65*t**2 - 14*t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 117*c - 3*c**3 - 114*c - 1 - 7*c**2 + 4*c**2. Calculate m(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 412 + 163. Let o = f - -117. Solve -w + 20 = 4*s, 3*w + o*w + 15 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from adddaaddadaa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = -6. Suppose -4*m - 377 = -5*u - 2510, -c*u - 1599 = -3*m. Let a = m + -315. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.5 (c) 9 (d) -64 (e) -1\/4 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:30 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4178168 (base 12) to base 14\nAnswer: -18d7636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 71*s - 33. Let r be z(35). Solve -j - r = -7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -50. Suppose 3*a - a - l = 0. Suppose 33*q = -234*q + 3738. Calculate the least common multiple of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q + 42 = 51*q. Let c = 25 - q. Suppose c*u = -16 + 68. Solve 0*m + 2*b - 7 = -m, 3*b = -2*m + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 717*d - 529243. Determine h(-724).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/2*(2 - 4). Let q(j) = 43*j - 19. Let t(p) = 359*p - 152. Let u(a) = -25*q(a) + 3*t(a). Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98919\/2788 + 1272\/41. Let x = -80\/17 - o. Which is the smallest value? (a) -37 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 11*d - 18 + 18 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5 (b) -1\/5 (c) -2 (d) -976 (e) -0.1 (f) 0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**4\/4 + b**3\/2 - 2*b**2. Let d(i) = 3*i + 1. Let t(v) = 9*d(v) - 4*y(v). What is the derivative of t(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3284*x**2 - 9840*x**2 - 41*x**3 + 3279*x**2 + 3277*x**2.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -56\/9, 4, -0.01, 0.3?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27923 is divided by 9303?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488332, -1953143, -4394496, -7812391?\nAnswer: -12206828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 4*i)*(266 - 157 - 198)*(-3*i + 4*i - 3*i).\nAnswer: 356*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -1, 26 in descending order.\nAnswer: 26, 4, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and 228.43.\nAnswer: -59.3918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 68. Let q be 3\/(-15) - h\/10. Solve -4*n + 2 = 2*w - 0*w, q*n = -4*w + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 47 - ((-8)\/(-12))\/(10\/(-135))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 61. Suppose -4*w = k + 16, 0*k + w = -3*k - m. Let h = 26 + k. What is the highest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6309 = -2*r - 3*w + 1206, 25 = 5*w. Let g be r*(-4)\/(-6)*640. What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-458)\/9 - (-26)\/(-234). Let d = 11 - k. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44555 is divided by 493.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48754, 48764, 48782, 48808, 48842?\nAnswer: 48884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 494779742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.93 - 3.93. What is the nearest to 2 in z, 2\/5, 31, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -2)**2 + 1 - (-2 + sqrt(539) + sqrt(539) + 2)**2 - (-1 + 1*(sqrt(539) - -3*(2*sqrt(539))**2)).\nAnswer: -8079 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 380. Let w = t - -219.01. Let u = w + -1.053. What is u rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w + 232 = 2*p, 2*p - 5*w - 232 = 0. Calculate the remainder when p is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64.194 nanograms?\nAnswer: 0.000000064194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9680862 is divided by 4278?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + 4 + 0 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Let i(a) = 2*a**2 - 7*a - 7. Let h be i(l). Solve -5*v - h = 2*z - 3*z, 3*v = -z - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - -1)*(3 - 2). Let o(t) = -15 + z - 60001*t**3 - t - 2*t**2. Let p be o(-1). Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311.8 * 267.71.\nAnswer: 83471.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 73 = 3*z - 5*c, 3*c = -5*z + 56. Suppose -g - 1 = -4*p - z, -3 = -4*g + p. Suppose g = -4*y + 5*y - 185. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 233 + -196.7. Let q = b + -32.6. Let h = 4 + -3. Is h not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 660.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 76. Suppose -2*n - z = -398. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1 - 37*l + 35*l - 2 to z*l + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (9 - 17) + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3574387 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 5*t**3 - 10*t**3 + 3*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135771 + 135771 + 357*u**5 + u + 2*u**5 - u + (0 + 0 + 3*u)*(u**4 + 0*u**2 + 0*u**2) - 2*u**5 + 2*u**5 - u**5.\nAnswer: 361*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -131566 divided by -1?\nAnswer: 131566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/12 + 3*l**2. Let o(s) be the third derivative of 0 + 1\/8*s**4 + 0*s**3 - s + 10*s**2. Determine o(c(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**2 + 13*g - 13. Let s(u) = 5*u**2 - 13*u + 14. Let f(t) = -5*s(t) - 4*z(t). Let l be f(9). Solve -5*o = 15, 5*x - 3*o - 11 = l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 390*w**2 - 946*w - 30981. Give c(-197).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-210))\/(10586\/(-1185))?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*s**2 + 27*n**3*s + 6206*n**2*s**2 - 9732*n**2*s wrt s?\nAnswer: 4*n**3 + 12412*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 0, 5 in decreasing order.\nAnswer: 5, 0, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*l - 6, -l + 5*o + 10 - 28 = 0. Find the third derivative of -24*s**3 + 93*s**l - 13*s**4 - 2*s**4 + 24*s**3 wrt s.\nAnswer: -360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2e63c?\nAnswer: -2e63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose h = 4*b + 3*f - 4*f - 27, 0 = 5*b - 4*f - 20. Suppose 3*u - b = -5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i + 11*i**2 + 11*i - 13*i**2 - 24*i. Let o(q) = -3*q**2 + 4*q. Determine o(l(n)).\nAnswer: -12*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -443.4, -0.3, 7, -1\/5 in descending order.\nAnswer: 7, -1\/5, -0.3, -443.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*x + 21. Suppose -22*a + x*a = -96. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1304 to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 16) to base 11\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70552 and 10.\nAnswer: 352760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1561*k**3 + 1578*k**2 - 10*k + 20. Let m(p) = p**3 - p**2 - 2*p + 4. Let d(i) = 10*m(i) - 2*t(i). What is the third derivative of d(s) wrt s?\nAnswer: 18792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323478 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 19 + -2 + -17 + 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 7*k + 224938 - 224638 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 9*s**2 - 17*s - 3. Let h be v(5). Solve -h = 10*j - 16*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**2 + 24*y + 3. What is the remainder when (-3)\/(-1*(-1)\/(-3)) is divided by f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 8*u + 2. Let f be 3\/2*(1 - -1). Suppose -4*j = -5*j - 2, 5*k - f*j + 24 = 0. List the prime factors of b(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 19*o + 156. Let j be b(6). Suppose -1 = -2*d - 3. Let n = d - -1. Solve n = 3*f - 6 - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -10.9, -0.01, 2\/29, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*p**4 + 3\/8*p**3 + 0*p + 3\/4*p**2.\nAnswer: -3*p**2*(p - 2)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2031*g - 1475*g - 1952*g + 34810 = -14312 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*5*-2)\/(sqrt(40)\/sqrt(2) + sqrt(20) - (-3*(sqrt(5) - -2*sqrt(5) - sqrt(5) - sqrt(5)) - sqrt(5))).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 13. Suppose 5 = b*n - q, -n - 5 = 4*q - q. Let w be (n + 15)*(-3 + -2872). What is w rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24336313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -1.61. Let r = q - 2.8. Let z = 1.1 + r. Which is the closest to z? (a) -2\/17 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3)\/p))**(-21)\/(p**(1\/9))**(-31))**(-17) assuming p is positive.\nAnswer: p**(15538\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212\/1045 + 2\/95. Let j = -1.8 + 4.8. Sort g, -0.3, j in increasing order.\nAnswer: -0.3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 5, d: 1, y: 7, z: 2}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 19*q**3\/3 - 55*q**2 + 28*q + 1. Let p be x(-35). Which is the biggest value? (a) 0.5 (b) 5 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.214 (b) 0.08 (c) 3 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 75170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-82)\/6. Let a = q + 19. What is the common denominator of a and (1\/10)\/(2\/505)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -582, 452\/87?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934950647 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286.83 - -287. What is the second smallest value in 0.01, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -352732696?\nAnswer: 105819808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -12943\nAnswer: 5\/12943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 - 13*m + 16. Let a be r(5). Let t be a*(2 + -204 - -2). Which is bigger: t or -201?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 45 = -6*v. Suppose 0 = 4*b - 8*b - 48. Let a = b - v. Solve -3*x = 2 + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/4 - (-2)\/8. Let k = -241 + 129. Let z = -786\/7 - k. Which is the second smallest value? (a) y (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, e: 2, c: 1, r: 3}. Give prob of picking 3 y and 1 c.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5777872, -11555764, -17333656, -23111548?\n\"Answer: -5777892*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1739112*m**6 + 20594*m**2 + 71 wrt m?\nAnswer: 208693440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o + 5*o + 7*o + 4 - 19 + 10*o.\nAnswer: -6*o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6555 - 3979. Suppose 2*j - r - 12 = -2*j, -3*j + 14 = -2*r. What is the second derivative of 18*f - 2576*f**2 + q*f**2 - j*f**3 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 0 + r**3 + 0 - r + 3*r**4 - 2 in the form m*r**3 + b + d*r**2 + h*r**4 + g*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98026\/41 + -2391. Which is the second smallest value? (a) -1\/7 (b) -18 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = g + 2*i, 12*g + 4*i = 16*g - 16. Which is the second smallest value? (a) 0.05 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6 + -1)*92\/(-3). Suppose 0 = m*h - 31*h - 5745. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*j = -579 - 890 - 3223 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 98 = -5*o, -4*o - 272 = -4*u - 76. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tot when three letters picked without replacement from {o: 1, s: 11, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 27*j + 40 = 0. Let n = j - -23. Suppose n*y - 12*y = 33. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a407a (base 15) in base 5?\nAnswer: 113113430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -829*y - 7461. Give u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -434, -870, -1306, -1742?\n\"Answer: -436*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(208) - (1 + sqrt(208)))*-6 + -5) + 2*3*(sqrt(208) + -1) + 1)*-3)**2.\nAnswer: -1728*sqrt(13) + 67536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.8 - 34. Let r = h + 3.7. Let j = 0.5 + r. Put 0, j, -2 in increasing order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1769992\/13 + 135714. Let i = b + 439. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by 3850.\nAnswer: -73\/3850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186594667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q - 17*q - 156 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*l + 15, 3*l - 4*w - 5 = 2*l. Let g = l + 29. Is ((-12)\/g)\/(7\/(-49)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 259, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 17 = 4*c, -2*m + m = 3*c - 3. Let -4\/7*z - 2\/7*z**c - 2\/7 = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/11 and 4 + 0\/3 + (-2325)\/684.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 - 100*x + 474. What is c(6)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, x: 1, v: 4, g: 1, j: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -460\/13 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110055 - -2?\nAnswer: -110053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530297230 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:31 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 2904610*f\/7 - 5809212\/7.\nAnswer: -2*(f - 1452303)*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2\/(-2) + 0. Suppose 0 = 3*x + t - 15. Suppose 0 = s - 4*s - 2*w + 18, 4*s - x*w - 24 = 0. Solve -s = -y + 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*i - 3*i. Suppose -3*g + 123 = 3*j, -7*g - 189 = -5*j - i*g. What is the remainder when 90 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23\/2*6\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 3*p**4 + 3*p**4 + (-2*p**4 - 3*p**4 + 3*p**4)*(-1 - 1 + 3) + 2 - 87*p**4 + 30*p**4 - 300*p**4.\nAnswer: -358*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 54*s**2 + 162*s - 4. Determine u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*u + 111092 + 168048 = 2680. What is the remainder when u is divided by 219?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 550901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/((-444)\/15423376*4\/(-3)). Round o to the nearest one hundred.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, t: 3, p: 9, r: 1, i: 3}. What is prob of picking 1 r and 1 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29792891*s - 36171292 wrt s?\nAnswer: 29792891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*u + u - 34 = 0, -5*h + 46 = -288*u + 284*u for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 1, e: 1, x: 1, a: 2, o: 2}. What is prob of picking 2 a and 1 e?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-6) + (-2)\/(-12). Let y = -4 + 4.2. Let o = -1\/101 - 199\/303. What is the closest to o in p, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 712, 2371, 5598, 10915, 18844, 29907?\nAnswer: 44626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -9*i + 0*i**2 + 0*i**5 + 0*i**3 - 31\/12*i**4 + 0*i**6 + 0 - 1\/14*i**7. What is the third derivative of f(g) wrt g?\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 729*i**2*y - 4055955*i**2 + 8*i*y with respect to y.\nAnswer: 729*i**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*y - 13*y - 15*y in the form g*y + a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w**3 - 2*w**2 - 33*w - 24. Let u(g) = -3*g**3 - g**2 - 11*g - 8. Let h(k) = -4*c(k) + 11*u(k). Is h(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v**2 + 0)*(-232*v**2 + 16031 - 16031).\nAnswer: -464*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(539) + sqrt(539) + -1)**2.\nAnswer: -56*sqrt(11) + 4316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 8*s**2 - s - 4. Suppose 0 = -4*b + 93 - 125. Determine g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:35 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - n - 939, -3*u = -n + 4*n - 708. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 647912 - 647912 + 787*c. Let j(k) = -3 - k**2 + 3. Determine g(j(x)).\nAnswer: -787*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -1, -5 in increasing order.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 - 4*d - 14. Give h(-7).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -58. Suppose -13 = -9*w + 5. Let r(a) = -79*a**3 + 36*a**3 + 5*a**w + 5*a + 37*a**3. Let o(l) = 5*l**3 - 4*l**2 - 4*l. Give p*o(x) - 4*r(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2\/15*v**4 + 2\/5*v**2 + 7\/15*v**3 + 0 + 83*v. Factor q(a).\nAnswer: -2*(a - 2)*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 433 divided by 10\nAnswer: 433\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**7\/2520 + 29*u**6\/720 + u**5\/15 - 5*u**4\/8 + 3*u**2. Let b(t) be the second derivative of l(t). Is 25 a factor of b(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24821\/5 - -4965. Solve -z*v**3 + 4\/5 + 12\/5*v**2 - 12\/5*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123461 (base 7) to base 3\nAnswer: 1011101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 11. Calculate s(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 8772109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - 6*p**2 + 25*p + 4. What is the lowest common multiple of o(3) and 245?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465580 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.015 + 6.485. Let a = f - 5. Which is smaller: -2\/7 or a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0)\/(-25 - 2222\/(-44))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/15)\/(3*(-6)\/60). Suppose u*r + 4*r = 3300. What are the prime factors of r?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57793 = -18*q + 21929. What are the prime factors of q?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 6*g)*(-4 + 6 - 1)*(-266 + 32*g + 266).\nAnswer: -160*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9813167 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1\/5)*((h\/(h*h\/h**(-6))*h)\/h)\/h*h)\/(h**(-1))**(-7) assuming h is positive.\nAnswer: h**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.435 + -0.33. Let j = 0.205 - f. Which is the closest to j? (a) -6\/11 (b) -3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -29. Let l be 5*(h + -3 + 9). Let n = l + -101. What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*m - 1068*m - 1300*m = 287*m + 304*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/8 - 156549*u\/4 + 939267\/8.\nAnswer: 3*(u - 104363)*(u - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1001262 by 6.\nAnswer: -166877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1909*c**2 + 7636*c - 3. Determine v(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*i - 107*i - 231. Let o(a) = -a**3 + 32*a**2 - 33*a + 29. Is o(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -124 + (1 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -db404c?\nAnswer: -db403d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - 1\/3. Solve -10 + v = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 8493*b - 33924.\nAnswer: -3*(b + 4)*(b + 2827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-2\/3)\/a)*a**7)**(-1\/9)\/(((a*a*a*a\/a**4*a)\/a**(-5))\/(a*a**(-2\/5)\/a)**39) assuming a is positive.\nAnswer: a**(-3076\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 920*c - 275 - 605 = 638 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -53, -2\/5, 1370, 1, -19?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - d + 10*d - 7*d + (-2*d + d + 2*d)*(5 + 2 - 11).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**2*y**2 - 2677*r**2 + 3*r*y**2 + 75*r*y - 136*y**2 wrt y?\nAnswer: -10*r**2 + 6*r - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 5 - s + 24.\nAnswer: -2*s + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 27*y = 66. Let w(x) be the first derivative of x**2 + 9*x - 1. What is w(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -39*p**2 + 35*p + 108. Let f(s) = -13*s**2 + 8*s + 27. Calculate -9*f(o) + 2*y(o).\nAnswer: 39*o**2 - 2*o - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12072895?\nAnswer: 5, 43, 233, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-40) + 2928\/(-1220)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 - a + 1. Let q = -3 + 4. Is 14 a factor of i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/35)\/(-9*4\/(-28))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22086.212 to the nearest one hundred.\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-385)*(-6)\/(-12)*(-33)\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -675*u + 480. Give n(2).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*n + 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**(-3) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -35. Suppose 0 = 76*z - 163 - 141. Solve -z*l - y - 4 = 0, 5*l - 5*y = -7 - a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 at most as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, i: 4, a: 1, s: 1, l: 4}. What is prob of sequence lial?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 9. Let w = -41 + z. Let b = w - -87. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -4*m + 28*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 21*a + 12. Let d be j(6). Let u(f) = 103*f - 205*f + 2*f**2 + d*f. Let g(l) be the second derivative of l**4\/6 - 5*l. Determine g(u(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 3 (c) 18 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2898\/(-23751) + (-24)\/156)\/((-240)\/6)\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-33)*-11*20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 687\/8. What is the second smallest value in 2\/7, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 134*g**2\/13 - 31838*g\/13 + 31704\/13.\nAnswer: 2*(g - 1)*(67*g - 15852)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6743851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*g - 3, -1924*g + 6*i = -1928*g + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81317 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111100 + 10110001111110?\nAnswer: 11001001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5284832252.\nAnswer: 2, 7, 59, 3199051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 40. Solve 0 = 29*i - 25*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477724?\nAnswer: 2, 13, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 148368 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: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3)*1*-2)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)*x)\/x**(-5)*(((x*x*x**0)\/x)\/x)**23)\/((x*x**2)**(-28))**(-17) assuming x is positive.\nAnswer: x**(-7108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w + 5*p - 49, -p + 49 = w. Let l = -67 - -94. Let r = w - l. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*o - 30 = 0, 57*o - 62*o - 17 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 86*q**2 - 270*q + 322. Determine k(89).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*h + 142 - 130, -2 = -4*a - 2*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -5 (c) -0.4 (d) 64.69964\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 2*sqrt(242) + 1 + -3 + 1*sqrt(242))**2*6.\nAnswer: -1056*sqrt(2) + 23256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + 0 + 2 + -14 + 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75*-0.5\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 7.96. Let s = -7.7 + n. Which is the nearest to 2? (a) -5 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 192 + f**2 + 192 - 4*f**2. Let k(g) = 4*g + 10. Let v(t) = 8*t + 21. Let n(m) = -7*k(m) + 3*v(m). Give n(o(i)).\nAnswer: 8*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.029 (b) 1\/3 (c) -22 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*h + 70, -4*h - 52 = -c + 5*c. Let i be c\/(-7 - -3) + 3259996. What is i rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l + l)*(2*l - l - 2*l) + 2 + 21*l**2 - 2 + 15*l**2 - 2*l + 2*l + 1)*(l**2 - 5*l**2 + 3*l**2).\nAnswer: -35*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/2 - 1831*g\/2 - 11817 = 0. What is g?\nAnswer: -1818, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1463, 2929, 4395, 5861?\n\"Answer: 1466*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60613, -61914, -63215, -64516?\n\"Answer: -1301*g - 59312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20 = -0*u, n - 4*u = -5. Suppose 0 = -4*k + 2*k + 5*d + 200, 3*d = 6. Calculate the highest common divisor of k and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14115.\nAnswer: 3, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-507)\/(-6))\/13*1*46. What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*a**3*o**6 + 14*a**3*o**4 + 32*a**3 - 6*a*o**2 wrt o?\nAnswer: -2400*a**3*o**3 + 336*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 149778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1190 and -0.5.\nAnswer: 1189.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127\/4 + -32. Let u be (-4 - 318\/(-84)) + (-4)\/(-8). Sort f, -0.2, 0.4, u in decreasing order.\nAnswer: 0.4, u, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -3.04. Let x = -0.2 + 2.2. Is x at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m + 4*n + 20 = 30*m, 6*n + 44 = 4*m. Sort -1, m, -3, 83, 0 in ascending order.\nAnswer: -3, -1, 0, m, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240097 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -67*y**8\/56 - y**7\/21 - y**6\/30 + 95*y**4\/12 - y**3\/3 - 5*y**2\/2 - 3188*y. Find the third derivative of c(z) wrt z.\nAnswer: -8040*z**3 - 120*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c + 35\/24*c**4 + 44*c**2 + 0*c**3 + 0. Determine b(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(-6 + 2 + 2) + 0*g + 0*g - 2*g - 3*g + 3*g + g + 3*g + 9*g - 4*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - 0.08. Let f = -88.94 + 88. Let m = f - q. What is m rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062*-0.048.\nAnswer: -0.002976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -656?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5 + 8)*((1 - 5 + 1)*(-2 - 2*t + 2) + 6*t - 3*t - 2*t).\nAnswer: 147*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o + 3*g - 12 = 25*o, -2*o + 12 = 3*g. Solve 4*c + 15 = y, 4*c = -o*y - y - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(12\/((-4032)\/70)). What is the greatest common factor of 546 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**2 + 2158*z + 6015. Give l(-213).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2077 and 36038027.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**2. Let n(v) = -4589*v + 7. Give n(r(s)).\nAnswer: 41301*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 59?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2411100, 2411109, 2411122, 2411139, 2411160?\nAnswer: 2411185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1755)\/(-315))\/(707\/98 + -7)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30911\/21 - 1472. What is the closest to 2\/3 in 0.08, o, 3\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:44 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(209)*2 - sqrt(209)))\/(sqrt(176) - sqrt(176)*-2 - sqrt(11)))**2*6 + 3.\nAnswer: 3213\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*l - 144528, -3*l - 85876 = -2*q + 10475. Does 220 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - (9 + -5)) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2639)\/(-455) - 2\/(-10). Let a(y) = -2*y**2 + 14*y - 20. Give a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 26, 0.7, -0.1, 4 in descending order.\nAnswer: 26, 19, 4, 0.7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 2. Let u(h) = -21*h - 15. Let a(k) = -15*c(k) + 2*u(k). Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(177\/4))\/(390\/30*(-12)\/(-78))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119\/4 - -30. What is the nearest to l in 1, 1\/7, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 1913*z**3 + 26 + 11611*z**3.\nAnswer: 9698*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -32*m**5\/13 + 1616*m**4 - 3303282*m**3\/13 - 11787038*m**2\/13 - 5272840*m\/13 - 633216\/13 = 0?\nAnswer: -3, -1\/4, 272, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + y**2 - y - 6. Let p be x(-3). Let b = p + 51. Solve 8 = -b*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*p**2 + 20*i**3*p + 197489*i**3 + 2*i**2*p**2 + 6*i**2*p - 2*i**2 - 6*i*p**2 - 2691*i wrt i?\nAnswer: 6*p**2 + 120*p + 1184934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210.77 - -210.77. Let h(b) be the third derivative of -b**4\/24 - b**3\/2 - 2*b**2. Let d be h(-7). Is u greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129.6 + -141. Let k = w - -112.4. Let g = k + -101.0000033. What is g rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10442102 (base 5) to base 2.\nAnswer: -10110110011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 21. Let g(m) = 5*m**3 + 2*m**2 + 4. Let h(p) = 6*p**3 + 2*p**2 + 5. What is f*h(d) - 4*g(d)?\nAnswer: -2*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 18. Suppose -4*x = -5*w + 48, -x - w + 13 = 4*w. Let s = x - f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14922 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4736795 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*u**3*y + u**3 + 3*u**2*y + 7*u*y - 10 wrt u.\nAnswer: -150*u*y + 6*u + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-3)\/4)*6\/2. Let m = -2.168 - -2.368. Which is the second biggest value? (a) 17\/4 (b) -2\/9 (c) g (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = -3*m, 578*m = -o + 574*m - 6. Put -5, o, -48 in descending order.\nAnswer: o, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 3. Let t be w(3). Which is smaller: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**35\/(n**(-5)*n**(4\/5)))**(-4\/15) assuming n is positive.\nAnswer: n**(-784\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 8*s + 9. Calculate l(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3 - 3*v**3 + 5*v**2 + 2*v + 2*v**3 - 4*v. Let u be n(5). Let l = -13\/193 - 6883\/965. Is l < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 9 + 3*l - 7*l.\nAnswer: -l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**3*(o*o**(1\/6)*o)\/o*(o**(-2\/5)*o)\/o**(-6)*(o**(2\/7)\/(o\/o**(-1\/3)))**(-28) assuming o is positive.\nAnswer: o**(351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 106, 16, 3, 4, 5 in descending order.\nAnswer: 106, 16, 5, 4, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63\/5*m - 24\/5*m**2 + 6 - 6\/5*m**4 + 63\/5*m**3 = 0. Calculate m.\nAnswer: -1, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*b + 575 = 406*b. Solve -4*o = 3*y - b, -o - 5*y + 51 - 24 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 119*q**5\/60 - q**4\/12 - 4*q**3\/3 + 16*q**2. Let h be s(5). Suppose 4*x - 2039 - h = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, -45954 in increasing order.\nAnswer: -45954, -24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557 + -226. List the prime factors of s.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 10*j**4 + 65*j**3 - 30*j**2 - 175*j + 130 = 0.\nAnswer: -13\/2, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11f - -e0?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03699983 - -0.037. Round i to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:48 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 711\/119 or 7?\nAnswer: 711\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 146.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 56. Calculate the remainder when m(13) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-13)*r)*r*r*r**(-3\/8)*r)\/(((r*r*r**45)\/r)\/r)**(-46))**22 assuming r is positive.\nAnswer: r**(183623\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/1 + (12\/3 - -346)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5*s - 2*s)*(119 - 119 - 3820*s**2).\nAnswer: -7640*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -24 - 32 + 79 - 27 + 11*g. Determine q(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251a (base 12) to base 16.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40673624 and 24.\nAnswer: -976166976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -26 - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1510069 to the nearest 1000.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2896*o + 60494. Give f(-21).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629097441.\nAnswer: 3, 7, 29957021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279212 is divided by 433.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 bigger than 4.572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d**2*f**2*i - d**2*f - d**2*i + 9*d*f**2*i + 2*d*f**2 + 145*d*f*i - 2*f wrt f.\nAnswer: -38*d**2*i + 18*d*i + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 - 1137*c + 1137*c + (-c**3 + 3*c**3 + 0*c**3)*(0 - 1 + 0) + c**3 - 2*c**3 + 2*c**3 to j*c**3 + d*c**2 + t + w*c and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -91.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 3*p - 2*p - 122 + 33 + 6*p. Let n be h(15). Which is smaller: 43 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32841 = 1813*x + 28801 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*o - o - 592, -2*m = -o + 194. Let w = -3526 + 2210. Let h = w + 1367. What is the greatest common factor of o and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26974447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4179\/(-126) - (-3)\/18. Let m = x + 83. What is the remainder when m is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1779 + -1771. Calculate the lowest common multiple of g and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 6. Let b be i(0). Solve -b*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*l - 2*s - 5, -10 = 5*l + 2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07847392 + -875.\nAnswer: -874.92152608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190\/67 + -2835\/536. What is the common denominator of -41\/10 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3\/4)\/((-36)\/(-7591824)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14.7. What is the second biggest value in -5, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(13\/5)\/b**4)**(-21) assuming b is positive.\nAnswer: b**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 149. What is the remainder when 723 is divided by v(28)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Let f be 2 - 2 - (-1 - -1). Let q = -69 - -69. Solve 3*i - v*o + 18 = q, f = -o + 3 - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 519*t - 121. Let g be z(3). Suppose -4*p = -9864 + g. Is p a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-33))**(-1\/2)*v**(-42)*v**(-2\/19) assuming v is positive.\nAnswer: v**(-1123\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 3*l**2 - 6*l**2 + (-4*l - l + 0*l)*(2*l - l + l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6271577*y - 6645520?\nAnswer: -6271577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10420410 (base 5) to base 14.\nAnswer: -25740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218.6 + -7.4. Let i = -164 - g. What is the second smallest value in i, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 10897?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 150075 (b) -3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32811.95 micrograms?\nAnswer: 0.00000003281195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10036789*f**3*o**3*x**3 + 133*f**3*o*x**3 - 2*f**3 + 237*f*o**2*x**2 - 2*o**2*x**3 wrt o?\nAnswer: 60220734*f**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 6:31 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0267854 * 2.44\nAnswer: -0.065356376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22597 = -i - 3*k, 3*i - 40*k + 67803 = -37*k. Round i to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 661 or 3306\/5?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*d + 40 = -2045*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one sixths of a hour?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.2 + 37.2. Let b = t - 24. Sort 0.1, 4, b in descending order.\nAnswer: 4, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.83 and -42114518.7?\nAnswer: 42114520.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + 3b?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*-3)\/sqrt(8)*-4 - (2 + sqrt(114)\/(sqrt(24)\/sqrt(4)))*6) + -3.\nAnswer: -30*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 25785728*x\/11 + 14064936.\nAnswer: 2*(x + 6)*(x + 12892858)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**3\/15 + 48*k**2\/5 + 1152*k\/5 + 168. Factor j(z).\nAnswer: 2*(z + 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*6)\/sqrt(6) + (-1 + sqrt(2))*2*6)**2.\nAnswer: -720*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5*m + 16*m - 2)*(-2*m - 3*m**2 + 2*m)*(0 - 2 + 1).\nAnswer: 69*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32557181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:04 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 40. Let x be (g\/6)\/((-4)\/(-6)). Is (x - 4)\/(1\/155) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - j = -2*j - 11, 4*j - 4 = 0. Let n(q) = r + 4 + 1 - 1 + 2*q. What are the prime factors of n(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 423?\nAnswer: -211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -515, -553, -635, -761, -931?\n\"Answer: -22*s**2 + 28*s - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005543 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(12\/2 + (-23848)\/4065).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 8. Let h be t(6). Suppose 4*z - 141 = -6*y + y, h = z - 2*y. Solve -10 + z = -4*l + o, -4*l + 4*o - 36 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {a: 10, s: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 968 = 11*y - 254. Calculate the remainder when 166 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -512?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e13e64 + -2?\nAnswer: -1e13e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 2:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6)\/(13*1\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.5. Let l = o + -0.1. Let c = 40.41 + -40.42. What is the smallest value in 3, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 26*w - 79*w - 3 + 22*w - 2 + 19*w. Let f(p) = -13*p - 4. Determine -4*d(i) + 5*f(i).\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*q - 2228601 + 2223701 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let d = -22.486 - 0.014. Let v = d + 23. Is t <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*1 + -4 + (sqrt(128)\/sqrt(4))**2*4)*6.\nAnswer: 36*sqrt(2) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 4*h**2 + h + 7. Let z be d(-4). Suppose z*b = -2*m + 10, 12 = 2*b + 2*b + 2*m. Is ((-2791)\/(-7) - 2) + b\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9033.66 litres?\nAnswer: 9033660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*r - 4 = 0, -16 = -u - 2*r - r. Let c be 3\/6*56\/u. Let q(x) = x - 4. Give q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let x be (82\/(-32) - h)*-12. Let v = x + -7. Sort v, 2, -3 in increasing order.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.98472 micrograms to tonnes.\nAnswer: 0.00000000009498472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -76. Let c be 21\/12 + 10\/q. Solve j + 12 = -c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13255432 + -5?\nAnswer: -13255441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1062842.\nAnswer: -5314210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -363841 != -363842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.042 (b) 0.3 (c) 3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + z - 3, -11 = 2*t + z - 2. Let p = t - 0. Let l(r) = -20*r - 27. Let w(x) = 13*x + 17. Let v(s) = 5*l(s) + 8*w(s). Calculate v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178265373 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 0)*(g**2 - 3*g**2 + 4*g**2)*(3 + 5*g - 3 + (0 + 3 + 0)*(-56*g - 3*g - 100*g)).\nAnswer: 944*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10)*10\/2 - -19. Let j = 35 - 35. Solve 4*b - u + 0 = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 1)*(2*m - 32 + 32).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:01 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030365.9 plus 0.4?\nAnswer: -1030365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let r(o) = -o + 2*o**a + o + 1 - 3*o - 7*o**3. Is r(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.3 - 33. Let a = -1.8 - u. Let z = -2.26 + 0.26. Put a, 1, z in decreasing order.\nAnswer: 1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p**5 - 5*p**4 + 15*p**2 - 18*p - 75. Let n(r) = r**4 + 2*r**2 + r + 3. Let v(l) = -5*n(l) - x(l). Find the second derivative of v(b) wrt b.\nAnswer: 400*b**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -30*((-3)\/(-5) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, -2, -1, 2, -5, 618 in ascending order.\nAnswer: -38, -5, -2, -1, 1, 2, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. Let z(f) = 2*f + 4. Let j be z(-5). Let k = j - -5. Sort o, k, 4 in ascending order.\nAnswer: o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 41*m - 102. Let j be 1*14\/21*69\/2. Calculate the remainder when i(j) is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, -15, -47, -91, -147, -215?\n\"Answer: -6*k**2 - 2*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011 + -1101?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16224?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 983031129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(-1)\/6*54 and (7*1)\/((-20)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*v = -12, -4*d + 2*v = 1 - 13. Suppose -i - 3*m + 156 = 0, -4*m = -d*i + 124 + 396. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141544887 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: What is 154 minutes after 3:59 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -103 (c) -429 (d) -3\/7 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139021 + 29194477\/210. Calculate the common denominator of d and 31\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1377*b**3 + 303*b**2 + 1.\nAnswer: 8262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2\/(-5)*(-70)\/(-8386). Is n not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -11b?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 814 - p**3 - 814 + 3*p**2 as d + m*p**3 + o*p + j*p**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 + 139 = -28*i + 70 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 + 80690*i**3\/7 - 276528*i**2 + 11612448*i\/7.\nAnswer: -2*i*(i - 40321)*(i - 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/67 and -47\/1228?\nAnswer: 82276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 28. Suppose a = -0*a + 18. Calculate the remainder when a is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 19 - 2)*(-8*o - 3*o**2 + 8*o) as u*o**2 + h + s*o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 396*p + 5659. Calculate q(-14).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/100 and 103\/2085290.\nAnswer: 20852900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 615 - -13228357876.\nAnswer: 13228358491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 11*p + 5. Let j be y(-11). Suppose 3*z + j*c = 102, 0 = z + 3*c - 0*c - 34. Let m = -12 + z. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6671 - -33357\/5. Let 0*t - a*t**2 + 2\/5*t**4 + 2\/5*t**5 + 0 - 2\/5*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-1960)\/(10\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 5*d - 96*d - d**2 + d as p + f*d**2 + s*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 610276*a**4 - 206437.\nAnswer: 2441104*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l**2 - 4*l**2 + 4*l**2)*(-10*l - 13*l + 8*l) + 3*l**3 + 0*l**3 - 4*l**3 - l**2 + l**2 + l**3)*(7*l - 23*l - 6*l)*(2 + 4 - 1).\nAnswer: -1650*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11721, -23442, -35163, -46884, -58605, -70326?\nAnswer: -82047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 42 = -372. Let z(y) = 88*y**2 + y + 1. Let b be z(3). Suppose -b = -2*h - q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*97\/(75175\/(-150))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -160, -4, -1\/2, 2\/5, 33?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -12. Suppose 2*o - k = -3. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 divided by -1?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/84, 13\/8, -0.2, -0.4, 1, 8\/7 in ascending order.\nAnswer: -0.4, -0.2, 1\/84, 1, 8\/7, 13\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -55. Let i = f - -44.9. Is i at least as big as 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 237.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 4*r - 2*w, -12 = -3*w. Suppose 11*o - 19 - 322 = r. What is the remainder when o is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-32\/3)\/v**12 assuming v is positive.\nAnswer: v**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*m - 364 - 261 = 0, -2*q - 3*m = -240. What is the least common multiple of q and 3?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -t - 8442, 0 = 24*n - 21*n + 2*t - 8433. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -10)*(-7)\/(-7). Which is the nearest to 1? (a) -0.2 (b) 7 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l. Let j(q) = q - 3. Suppose 0 = 5*b - 4*g - 25, 25 = 5*b - g - g. Let x(s) = -s + 5. Let h(z) = b*j(z) + 3*x(z). Give t(h(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose q - 2 = 1, 0 = -2*p + v*q - 7. Suppose 0 = -h + p*h - 48. Calculate the lowest common multiple of 10 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l**4 - 327*l**3 + 7512*l**2 - 7857*l + 756 = 0. Calculate l.\nAnswer: -12, 3\/28, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00379079 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -120212 (base 3) to base 15\nAnswer: -1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199.4 - -4.4. Let q = g + 194.99999526. What is q rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/223? (a) 3\/7 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:35 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -4, 0, 4 in decreasing order.\nAnswer: 4, 0.8, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k. Let g be o(2). Let r = -2 + g. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(551245\/(-15))\/1. Let m = 24304490 - 17194241. Suppose 5*z = -p + m. What is z rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31234, -62483, -93732, -124981?\n\"Answer: -31249*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27913 times -0.4?\nAnswer: -11165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -20. Let i(x) = x**3 - 7*x**2 - 6*x - 11. Let z be i(b). Suppose -z*k - c = c - 5, -2*k + 31 = -5*c. Solve h = -k*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:45 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7248423 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22 = -3*v - 6*i, -5*i + 13 = -3*v. Solve -v*b = 11 - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.158 and -1.6.\nAnswer: 0.2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 18864*w + 285*w**2 + 3 + 18857*w - 37722*w.\nAnswer: 285*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5874\/(-356)*1288\/253.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 plus -0.004313093?\nAnswer: 2.295686907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - (-45 + (7 - -15) - -44).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*v - 50, 0 = -5*o + 3*v - 0*v - 158. Let j be (-3 + o\/(-6))\/(8\/12). Factor -13\/4*x**3 + 1\/2 + 1\/4*x - 9\/4*x**2 - 5\/4*x**j.\nAnswer: -(x + 1)**3*(5*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85391395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*a - 5 + 13 = 0, -4*a = -4*g. Let x be (3\/2)\/(g\/(-4)). Suppose -4*l = -x*l - 63. What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2536264849 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -70925372 divided by 4\nAnswer: -17731343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*(-9)\/(-2). Let k be 42\/9 + (-4)\/d. Let p be ((-38)\/(-8))\/(1\/k). Solve 3 = 3*j + 4*x + p, -3*x - 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -8*b. Let t = 17 - b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.838 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, -1, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_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: Evaluate ((28\/8)\/(-1))\/((-1)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from {o: 1, y: 4, f: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -22*x**2. Let n(v) be the first derivative of v**5\/60 - 3*v**2\/2 - 17. Let m(i) be the second derivative of n(i). Give h(m(g)).\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, 4, 7, 2 in decreasing order.\nAnswer: 7, 4, 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 688*c**2 - 1413*c**2 + 687*c**2. Let m(j) = 3*j. Give o(m(w)).\nAnswer: -342*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-10) + (-20)\/(-100)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2477497 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - (-1 + (-2)\/(-1)). Suppose -5*o = 3*i - 111, -q = -i - 3*o + 26. Calculate the greatest common factor of 105 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 833563.\nAnswer: 21\/833563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-3705019.\nAnswer: 29640152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 85 = -3*t. Let d = 102 - t. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.55 + -0.35. Let w = 12 + k. Which is smaller: w or 48?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 25*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -7*j**6\/360 + j**5\/60 - 8*j**3\/3 + 13. Let z(s) be the third derivative of r(s). Find the second derivative of z(q) wrt q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*2595\/(-346)*(-7)\/(-3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.917503 litres to millilitres.\nAnswer: 1917.503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixteen fifteenths of a minute?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + 6 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 246, 8, -1, 3 in increasing order.\nAnswer: -1, 3, 8, 66, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50655863.25 rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14945.2224 + 14945. Round r to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40000020)\/(-50) + (36\/(-15) - -2). What is y rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 2. Let c = 43 - 41. What is d(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*11*24\/66.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + -18 + (-15)\/(-3). Solve 2*s = -2*y - 8, 0 = -39*s + 44*s + a*y + 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 406 and 15696511?\nAnswer: 219751154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/13, -3.4, -0.023 in ascending order.\nAnswer: -3.4, -0.023, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3376 in 2\/3, -2\/15, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7616*n - 1. Is u(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4177, -4988, -5841, -6742, -7697, -8712, -9793?\nAnswer: -10946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 465*n**3 + 2*n**2 - 4*n. Let q(g) = 107416*g**3 + 463*g**2 - 926*g. What is -2*q(p) + 463*v(p)?\nAnswer: 463*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m + 7. Let v(l) = 6*l + 2. Calculate the smallest common multiple of v(2) and d(-5).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 7*n + 3*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(5\/(-3) - -1). Suppose 0 = -c*b - l + 396, 292 = 2*b - 5*l + 45. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 13 - 18 - 2*r**2 + 34 + 5*r**2 - 14 as z*r**2 + a*r + y*r**3 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*y**3 + 24*y**2 + 3*y**2 + 0 - 2*y - 16*y**2 in the form x*y**3 + m*y**2 + c + p*y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577956047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1546*c - 580*c + 155*c - 963*c.\nAnswer: -2934*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -64*b**3\/3 - 21*b**2\/2 + 3*b - 68. Find the second derivative of n(w) wrt w.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1396 - -1405) + -2 + 0 + -1 + 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129155 or -129188?\nAnswer: -129155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 22*q**2 + 45*q + 19. Does 7 divide a(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 319186 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.041 + 1.959. Let x = 0.1427 - -7.8573. What is the biggest value in 7, x, 2\/5, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 25 = -t, -107*w + 106*w = t - 17. What is the smallest common multiple of w and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5733.4.\nAnswer: -5729.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 24 = 24. Suppose 1445 = x*q - 2797. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 109*h**3 - 2506*h**2 - 19*h - 90. Let k be n(23). Let o = 8 + -2. Solve -v - k = -o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 bigger than 776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 - 7*i - 6. Let z be c(-4). What is the highest common factor of 242 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4*g = -11, 5*s - 2*s + 1 = -2*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2 + 69*k - 420 = 0.\nAnswer: -28, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/30716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835562 is divided by 278494.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 1305, 2938, 5231, 8190, 11821, 16130, 21123?\nAnswer: 26806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h. Let m(y) = 2*y. Suppose d = -0 - 6. Let k(c) = d*o(c) - 14*m(c). Let w(t) = -t. Calculate k(w(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.124027.\nAnswer: 0.372081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) -32 (b) 4 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 929696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5700, 5585, 5470?\nAnswer: 5355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12261113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83123\/24 + -3467. Find the common denominator of r and -29\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5891.\nAnswer: 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399680 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (-2*sqrt(84) + sqrt(84)))*2)\/(1*sqrt(432) + sqrt(12)).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 104b38bc - -2?\nAnswer: 104b38c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -18322596.\nAnswer: -18322595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjomo. What is prob of picking 1 o and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -9, 41, -43 in decreasing order.\nAnswer: 41, 5, -1, -9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 2:24 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 84 + 18 = -132 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.58 - -388348.\nAnswer: 388340.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12616 plus -2?\nAnswer: -1.87384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-2))\/7 + -3. What are the prime factors of (k - (6 + -1)) + 255?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + -5 + (sqrt(1216) + -3)*-6 + -4*(sqrt(1216) + -2) + sqrt(1216) + 0 + 1)**2.\nAnswer: -3168*sqrt(19) + 98978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**3\/3 + 12. Let t(f) be the first derivative of -2*f**3\/3 + 2. Give t(u(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 78, 94, 76, 12, -110, -302?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or -5604773?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.422755 to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*w**2 - 40*w**2 + 38*w**2)*(-4*w**2 - 4*w**2 + 5*w**2).\nAnswer: -282*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggrgrgrrgrrrgggg. What is prob of sequence rrg?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15816*a = 15835*a - 551 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-225)\/(-20)))\/(53\/((-389232)\/(-96))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 266 = 3*o. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -193603, -194572, -195541, -196510, -197479?\n\"Answer: -969*a - 192634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 148401.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762756740 take away -0.72?\nAnswer: -1762756739.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518.2018 - 517.9. Round k to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let m(p) = 15*p - 8. Let w(k) = 31*k - 14. Let n(q) = 7*m(q) - 4*w(q). Calculate i(n(g)).\nAnswer: -361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 138673154 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.76, 0.054, -5, 4?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165229.\nAnswer: 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368 - -63. Suppose 8*v - 9*v - 4*q + 97 = 0, 0 = -5*v - 2*q + i. What is the greatest common factor of 935 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*j + 35, 5*j - 124 + 156 = -2*s. Put s, 4, 5, -2\/41, -1\/3 in descending order.\nAnswer: 5, 4, -2\/41, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 + 7629*h**2 - 122337*h - 129965 = 0.\nAnswer: -7645, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*25.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3039583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2, 9 in descending order.\nAnswer: 9, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omlooqlulozlo. Give prob of sequence muz.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -63*w - 1. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5872729 minus 407?\nAnswer: -408.5872729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = 0. Let n = -73 - -85. Suppose c - 3 = 4*j - g*j, 3*j = 4*c - n. Solve -y = y - c*p, -2*y = -4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -11, -5?\n\"Answer: 6*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/(-4)*(-48320)\/7248\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 17*q = 197, -409*q + 26 = -3*l - 408*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -515 - (3\/(-3) - (-3 + 0)). Let l = y - -1303. What are the prime factors of l?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = -5*y, -y - 5*w + 11 = 9. What is the third derivative of 25*x**4 + 117*x**2 + 24*x**4 + x**5 - 221*x**y wrt x?\nAnswer: 60*x**2 + 1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.3479843 to 0 dps.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, 45, 1.8664 in ascending order.\nAnswer: -0.3, 2\/7, 1.8664, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:16 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 328 in 1\/6, -1\/2, 0.7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g + 5. Suppose -g*o = -4*o. Let q be 8\/(-21)*(-9)\/12. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397276 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 339\/(-396) + 2\/6. Let t = 3\/11 + j. Let g = 0.151 - 3.151. Which is the biggest value? (a) -1 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 47\/162648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 3 + 11 + 0*c. Let x = 59 - 65. Calculate the remainder when 37 is divided by y(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16290.3328 - -2.\nAnswer: -16288.3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21045\/263 greater than or equal to -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {b: 2, o: 1, r: 1, i: 2, c: 4, u: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1658398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 + -0.4. Let v = n - -0.56. Which is the nearest to 0.4? (a) -0.5 (b) v (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18.6, -82, -215?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557 - -1408. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t**3 + 6*t**2 - 6*t. Let a(f) = -f**3 + f**2 - f. Let y(c) = 3*c**2 + 106*c + 212. Let r be y(-2). Determine r*a(x) - 2*k(x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + 4*z + 5 + 2*z**4 + 0*z + 2 + z**4. Let o = -27 - -41. Let u(c) = 8*c**4 - 12*c**3 + 12*c + 20. Let v(y) = o*w(y) - 5*u(y). Factor v(l).\nAnswer: 2*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s - 8*s + s**2 - 57 + 92. Let t be l(10). Let q = -11 + 15. Solve q*z = m - 0*m + 1, t*m + 24 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 3.8, 0, -0.4, -730, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**4 + 4*m**4 + 2*m**4)*(-14 - 3 + 6) + (m + 3*m + 0*m)*(4*m**3 - 7*m + 7*m) to the form t*m**4 + y + h*m**3 + v*m + l*m**2 and give t.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 104 = -16*m, -q - 5*m - 42 + 27 = -43 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225903 + -66415397\/294. Calculate the common denominator of -51\/1568 and v.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-2 - 5)) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*g - 166*g - 157*g - 191*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*j + 12, -j + 2*m - 8 = -2*j. Suppose -k + j = -9. Calculate the least common multiple of k and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*n**5 - 7*n**4 + 8*n - 898 wrt n.\nAnswer: -920*n**3 - 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 736940 rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99106 (base 14) to base 12.\nAnswer: 15a5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 160\/(-70) - 2\/(-7). Let i be -8 - y - (-2 + -1). Let x(s) be the second derivative of s**4\/6 + s**3\/2 - s**2 - 6*s - 3. Calculate x(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2739, 1\/4, 2, -8\/39, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2942, -23625, -79846, -189401, -370086, -639697, -1016030, -1516881?\n\"Answer: -2966*m**3 + 27*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6 and 20\/(-15) - 0 - 19\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67676023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29108144 and 3?\nAnswer: 29108141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-30) + 8\/24. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24807 - -25333. Which is greater: 517 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19024.2 - -19025. What is the closest to -10 in k, 3, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 55*x**2 + 69*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-20))\/((-8)\/(-1415)). Suppose 0 = -z - 5, -z + 121 + 154 = -4*i. Is t greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5500 (base 8) to base 14\nAnswer: 109a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -49*v + 3529. Let g(j) = -139*j + 10595. What is 17*d(n) - 6*g(n)?\nAnswer: n - 3577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t = 10*t. Suppose t = -4*d - 4*x + 1288, 0*d - 4*d + 1288 = -2*x. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 11635*c**2 - 33837488*c - 33849124.\nAnswer: -(c - 5818)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 10*v - 7. Let f be i(9). Suppose -7*a + 12*a - 30 = 0. Solve -13 = 3*n + n - 3*r, -a = f*n - 2*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -340, 4.67, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 15112592*i - 114195218479232 = 0. What is i?\nAnswer: 15112592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7482.158099 rounded to the nearest integer?\nAnswer: -7482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {l: 2, x: 2, g: 5, h: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 4525090 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {r: 2, q: 2, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -381896064*s**3 - 96587273 with respect to s.\nAnswer: -1145688192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 10) to base 8\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 1 + 6 - 2*j + 5*j - 14.\nAnswer: 6*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12420)\/(-1725)*110\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {h: 2, j: 2, k: 1, o: 1, m: 1, t: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168630 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 84, 176, 310, 492?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*j + 13384 - 16246 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8291 + -1995. Suppose o = 8*a - 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 81. Sort 5, -2, -1, v in decreasing order.\nAnswer: 5, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13 - (-8 - (2 + -9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - b - 1. Let g be h(-1). Let q be 5 + (1 - (g + 3)). Suppose -21 = -2*c + c. Solve u = q*p + c, 4*u + 3 = -2*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-4 - 470\/25). Let s be (-73)\/3 + (-3)\/(-9). Let l = s - a. Which is smaller: l or 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:50 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 13. Let u be ((-14)\/(-21))\/((-2)\/q). What is the third smallest value in 1\/2, u, -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -300, -281, -242, -177, -80, 55?\n\"Answer: g**3 + 4*g**2 - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let q(m) = -6 + s*m**2 - m**2 + 7*m - 2*m + 0*m**2. Let i be (8\/(-3))\/(2\/(-3)). Determine q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41005 (base 7) to base 9\nAnswer: -14577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 39. Determine x(21).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*j**4 - 8*j**4 + 24*j**4 + (4*j**2 - 3*j**2 + j**2)*(j**2 + j - j) - 3 + j**4 + 3.\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Let a be 4*(3\/6 - b). Suppose a*m = -0*m. Does 0 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 5, p: 2, f: 1, q: 4}. Give prob of sequence hq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*27\/(-9)*94\/(-2115)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*x + 0 + 3*x)*(-1 + 1 + 3 + (2 + 3 - 2)*(1 - 6 + 2)) in the form y + d*x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a - 5736 + 5796 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)\/z)\/z*z**6\/z)**(-27))**(2\/17) assuming z is positive.\nAnswer: z**(-1242\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(2\/13)*r)\/r*r*r**(9\/2))\/(((r**(-5)*r)\/r)\/(r**(-7)*r)) assuming r is positive.\nAnswer: r**(173\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470 divided by 294.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1 - (6 + -15)) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 0 in ascending order.\nAnswer: 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:50 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - 2. Let q = 74 + m. Let h = q - 36. Sort -3, h, -0.3 in descending order.\nAnswer: h, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 9}. Give prob of picking 3 a.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 43 = -23 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*w = 312, -2*g + g = -3*w - 313. Suppose 5*l - 5*x - g = 0, -4*x - 75 - 39 = -2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -8*b + 7*b - 4, -f - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 0)*(7*a**2 - 19*a**2 + 7*a**2) to the form i*a**2 + u*a + c and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 7*t - 4950. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 44215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31439?\nAnswer: 149, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -45*m**2 + 38*m + 40. Let h(j) = 9*j**2 - 7*j - 8. Calculate -11*h(s) - 2*v(s).\nAnswer: -9*s**2 + s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62547\/4 - 16292. Let h = n - -659. Calculate the common denominator of h and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2000 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {a: 9, d: 3, z: 5, o: 3}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1326048629 and 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/20)\/(1\/2). Let v(r) be the second derivative of -r**5\/10 - r**2\/2 - 2*r. Let x(h) = h - h**3 - 285*h**2 + 285*h**2. Give d*v(p) - x(p).\nAnswer: -p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 3*d**2 + 6*d + 4. List the prime factors of i(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 3. Let b = n - 20. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -19 - 10) + 42\/(-35)*-10 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -20. Let l = a - -57. Let v(n) = -n - 1. Let s be v(-4). What is the greatest common divisor of l and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 8.6. Let l = j - -11. Which is the nearest to -5? (a) -2\/11 (b) l (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 11182\/6)\/((-50)\/(-75))?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -31, -81, -161, -277?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**8\/112 - h**6\/40 + 5*h**2\/2 + 2. Let x(b) be the second derivative of r(b). Let x(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -628226\nAnswer: 314113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8792680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8677 and 423.\nAnswer: 422.1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -36606812.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3c05 (base 13) to base 5\nAnswer: -233444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014672301 rounded to five dps?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 2. Let z be x(5). Let m be 6*z\/6 - 0. What is the units digit of m\/(-6) - (-33)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7 + 1. Let l be 10\/m + 9\/(-3). Let f = -544 - -2187\/4. Is f greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -43. Suppose 47 = o - v. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -141599*b**3\/3 + 2*b**2 + 7*b + 1. Let t be a(-5). Let g be t\/30 - 4\/10. Round g to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 + 6*b + 5. Let s be h(-4). Sort -5, 5, s in descending order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/56)\/1*(-6)\/((-48)\/(-40))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 63. Let u be 7\/(49\/3) - 64\/t. Solve 10*a = u*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 20, -0.5, -3, -2031, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85201 is divided by 85191.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuqduxsusuxqddxuq. Give prob of sequence dsq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((425\/12036)\/(-25))\/(20\/28806) - -2 and 11\/24.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 2\/7 (c) 15 (d) 5.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 43. Let j be t\/(-2) + 3 - (4 - 3). Solve j*p + 24 = -4*k, -3*k + 8*k = 5*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 6, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose -2 = -y + z. List the prime factors of 2\/y + (-8)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2401817 - -11?\nAnswer: 2401828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0 + 4*k + 2\/3*k**3 + k**2 + 7\/12*k**4. Calculate the remainder when i(-2) 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 150067661?\nAnswer: 3761, 39901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 15 = 3*u. Let n be (-2)\/(u - (-55)\/19). Suppose 5*r - 2*j + n = -28, -5*r = -j + 51. Sort 5, r, -1.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 513 = g, -2621 = -5*g - 3*n + 4*n. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116*-101\nAnswer: 11716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from {k: 4, i: 2, t: 4, r: 4, n: 4, y: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-20)\/12) + (-6)\/(-15). Solve -4*y - a = -l, -22 = -2*y + 2*l - 6*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 169724, 1 in decreasing order.\nAnswer: 169724, 1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 31*i**2 + i + 30. Calculate h(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/12, 2, -7\/3, 9?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c + 3810. Let f(y) = -9*y - 2539. Calculate 5*d(j) + 8*f(j).\nAnswer: 3*j - 1262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53193670?\nAnswer: 2, 5, 101, 52667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 1.9, 45?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21173 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-80))\/(6*13\/(-3900))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*j**4 - 183*j**4 - 148*j**2 - 4454*j + 137*j**4 + 19*j**4 + 4*j**3 wrt j?\nAnswer: -24*j**2 + 24*j - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 10:07 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23173 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 882\/(-588)*(6860\/21)\/(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/4*456\/(-38). Let l = x + 39. Sort 9, l, -5.\nAnswer: -5, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 22. Let p = 23 + r. What is the highest common divisor of 64 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395707 + 395707 + 44739*d**2.\nAnswer: 44739*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 (base 9) in base 15?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -106, 24, 4.\nAnswer: -106, 2, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**4*h - 1048*g**3*h - 1352*h + 1 with respect to g.\nAnswer: 16*g**3*h - 3144*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - k)*(0*k - 2*k + 0*k) - 9*k**2 - 4*k**2 + 0*k**2 to the form o*k + y + h*k**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 - 3*j**2)*(-3*j - 45442 + 91178 - 44517).\nAnswer: 6*j**3 - 2438*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 - -295. Suppose -97 = -k + 5*q, p*k - 11*q + 9*q - 416 = 0. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i**2 - 253*i + 252. Let w be c(1). Which is greater: w or -151\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9254.116 nanograms?\nAnswer: 0.000000009254116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 5*p - 14. What are the prime factors of o(-7)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Suppose j + 4 = 2*f, n = 4*j - f + 3*f - 24. Suppose 2*l + j = 8. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*w**6 - 42*w**2 + 20*w**4 + 28*w**4 + 1281*w**2 wrt w?\nAnswer: 1800*w**3 + 1152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + 0. Let x = r + -20.5. Let j = 0 + 0. Sort -0.4, x, j in descending order.\nAnswer: j, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefxxeexxxf. Give prob of picking 2 f and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 2 + d - 6*d - 5*d to the form a + n*d and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -37*r**7\/210 + 46*r**4\/3 + 35*r**2 - 2*r. Find the second derivative of x(w) wrt w.\nAnswer: -444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1548\/(-486))*(0 + (-2)\/(-5))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seveniuin. Give prob of picking 1 e, 1 s, 1 i, and 1 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 - 5*t + 14. Let r be k(-6). Let g be (2\/(-3))\/(r\/(-60)). Suppose 3*h - 317 = 5*y, y + 541 = g*h - y. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942992?\nAnswer: 2, 281, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**4 - 8*b**3 + 8*b**2 - 497*b + 2370. Let x(p) = -p**4 + 5*p**3 - 5*p**2 + 331*p - 1579. Let z(i) = -5*c(i) - 8*x(i). Differentiate z(w) wrt w.\nAnswer: -8*w**3 - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 369*t - 6641. Let v be f(18). Put 4, -2, v in decreasing order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192*-4.8776\nAnswer: -936.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3420857l?\nAnswer: 342.0857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*a = 2787, a - 1391 = 2*f - 6965. What are the prime factors of f?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2126046 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d. Let a = -5 + 7. Let i(w) = -4*w**2 - 1. Let y be ((-6)\/(-12))\/((-1)\/(-2)). Give a*z(v) + y*i(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*t + 36*t + 75*t - 2 + 19*t - 11*t to the form p + i*t and give i.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 8\/9*c + 8\/9*c**2 + 1\/6*c**4 + 36 - 22\/27*c**3. Factor i(v).\nAnswer: 2*(v - 2)**2*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 6 = 21*f - 2*j, -3*f - 3*j = -3. Solve -f*o + 6 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 12. Suppose 28 = 11*l - 9*l + b, -b = -m*l + 28. Which is smaller: l or 41\/3?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 97*r**2 - 52*r - 353. What is d(-6)?\nAnswer: -2453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -9) + (-4 - (4 + -5)) + 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -9058 (b) 1\/5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g + 50. Let i = 18 + -15. Calculate the remainder when g is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 222?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -74*v + 300. Let j be n(-2). Is 448 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223993 - 2*o**2 - 3*o**2 - 224000)*(5*o**2 - 2 + 7*o**2 - 4*o**2).\nAnswer: -40*o**4 - 46*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11031, -1 in descending order.\nAnswer: 0, -1, -11031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276, 2580, 3874, 5152, 6408, 7636, 8830?\nAnswer: 9984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286811243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -15. Let y = 83 - 53. Let i = y + -34. Which is the third biggest value? (a) 4 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202000001 + -10?\nAnswer: 1201222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -22. Let d = -4 + 24. Let q = 28 - d. Calculate the smallest common multiple of q and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-4*(sqrt(13) + -1))**2 + 5*-3*sqrt(13) - (1 + (1*-2*sqrt(52))**2))*-3.\nAnswer: -45 + 138*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 47 = -10*v - 5*h, 0 = 2*v + 2*h - 10 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.1. Let t = -49\/472 - 227397\/3304. Let h = t - -69. What is the smallest value in l, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14666*v**2 + 7061*v\/4 - 17\/2.\nAnswer: (8*v + 1)*(7333*v - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -2\/3 (c) -3\/4 (d) -0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 10731.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 5, 7, 2, 17, -13, 18 in descending order.\nAnswer: 18, 17, 7, 5, 2, -13, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 264*i - 26*i - 15477 = -37*i for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32329)\/(-363) - (-2)\/(-33). Which is smaller: r or 359\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:45 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -17*b + 20. Give i(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 667061420 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozrcq. Give prob of sequence roq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 + 2*x**2 + 0*x**2 - 9*x**2. Let u(i) = -3044 + 3044 - 34*i. Determine u(g(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*v - 68*v - 15345 = 0. What is the remainder when v is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdd when three letters picked without replacement from mnmmmmmmnddmm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*x**2 - i**3 + 44*i**2*x + 35*x**4 + 4*x**2 wrt x?\nAnswer: -4*i**3 + 420*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350\/40*(-19)\/((-1425)\/(-120))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 97 - 2*u + 0*u + 3*u. Let o be i(0). Let w = o - 12. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:14 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + (9 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)*(i**(-1\/27)\/i)\/i*(i\/(i**(-1\/10)*i))\/((i\/((i\/((i*i\/(i\/(i*i**0\/i)))\/i))\/i))\/i*i))**(2\/3) assuming i is positive.\nAnswer: i**(-3763\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-532)\/(-12) + 4)*-3. Let k be 6\/15 - a\/(-175). Let m = 2 - 3. Sort k, m, 3.\nAnswer: m, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*v - 6014 = -2754*v - 410 - 56661 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 43058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 13929280*c**2 + 24253119094074*c - 48506182471044 = 0.\nAnswer: 2, 3482319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064365 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115536094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t + 3 = -51*t, -3*g + 19 = 4*t. Solve g*k + 4 = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15123*f**4 - 2*f**2 + 10627*f wrt f.\nAnswer: -362952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1848)\/(-63) - 30) + 142\/6. What is the highest common divisor of 25162 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j, 3*r + 3*j + 141 = 7*r. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 180, 286, 412, 564, 748?\n\"Answer: g**3 + g**2 + 82*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692241, 1384533, 2076825?\nAnswer: 2769117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 5*w + 2. Suppose 4*m + 11 = -9. Let o = 25 + m. Let k = o - 4. Let q(n) = -6*n**2 - 26*n - 10. Calculate k*d(b) + 3*q(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*t - 5\/4*t**3 + 5*t**2 - 45\/2.\nAnswer: -5*(t - 3)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 144*t = 26226. What is the greatest common divisor of t and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6173960 and 2360?\nAnswer: 364263640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6208, -24841, -55868, -99265, -155008, -223073, -303436?\n\"Answer: 4*p**3 - 6221*p**2 + 2*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2 - 2 + o - 2*o. Suppose -7*s + 40 = -12*s. Let z be j(s). Solve -4*x + 28 = -4*r + 2*r, 3*r - z*x + 32 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 1. Let a be (3 + -6 - -4)*-1. Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/3 (b) 0.12 (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(30)\/sqrt(3)))\/(3*sqrt(10)*5).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27418*v**2 + 112*v + 141047574?\nAnswer: -54836*v + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4632 and 2895?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 24*u + 2. Let v(w) = 3*w**2. Give g(v(s)).\nAnswer: -27*s**4 - 72*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0 - 2. Suppose -z*c + c = -1. Let s(d) = c - d + 0 + 2. What is s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001994613279 rounded to seven dps?\nAnswer: -0.0001995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iktyj. What is prob of sequence kyt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 + 2*z. Let n be m(-6). Suppose 181 = 4*p - f, 4*p - n = -4*f + 116. Let k = -29 + p. What is the greatest common factor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 10*b**2 - 8*b**2 - 6*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 596b406?\nAnswer: -596b364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131615, -131619, -131623?\nAnswer: -131627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5430 is divided by 602?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104494\/78 + (-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 8:05 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9789*t - 9796*t - 119 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - b**3 + 0*b**3)*(2*b + 0*b - 10*b) + (2*b + 0*b + 2*b)*(-2*b + 2*b + b**3).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*1*2. Let q be (-1 - f) + 1 + 2. Solve 0 = h + 1, 4*o + 5*h - 2*h + 7 = q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1430096.\nAnswer: -286019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from jljgwlwcjjcjcj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 9, 0.2, 4\/5, 1, -56.66 in decreasing order.\nAnswer: 9, 1, 4\/5, 0.2, 0.06, -56.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 20264*l - 961244 = 0. Calculate l.\nAnswer: -5113, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(125) + sqrt(125)*-4) - (sqrt(18)\/(sqrt(9) + sqrt(36)\/sqrt(4)) + (0 + sqrt(2))*-2).\nAnswer: 10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 - 3 = -21*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 42*d**2 + 110 + d + 117.\nAnswer: 42*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -4*j**3\/3 + 9*j**2 + 7*j + 7. Let l be z(5). Let c(k) = -3*k**3 + k**2 + 9. What are the prime factors of c(l)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1215 - -2200. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10\/d**(-2)*(d\/d**(-15\/2))\/(((d**(-28)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 7*o**4\/12 - o**3\/6 - 2*o - 18. What is the second derivative of c(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007532 to 4 dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let a(t) = 5*t**2 - t + 3. Suppose 2 = -2*f + 3*f. Suppose f = 5*z + 7. Let s(o) = z*a(o) + q(o). Differentiate s(k) wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178618*k + 413619.\nAnswer: 178618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -7 + -24 - -33 - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/19)\/q*q)\/q*q*q**(-2\/11))\/(q**6*q**(2\/9)\/q))**8 assuming q is positive.\nAnswer: q**(-82904\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 3. Let z(s) = -4*s**2 + 5. Let m(j) = 10*p(j) + 6*z(j). Let x(u) = -3*u**2. Determine x(m(c)).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284677 is divided by 3196?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o**3 + 2 - 24*o**3 - 5*o**2 + 9*o**2 + 43*o**3 + 3*o**2 in the form r + h*o**3 + g*o + l*o**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 2175965 - 1260179 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2 + 3*s - 3. Let y(l) = 7*l**2 - 4*l + 4. Suppose -2*u + 10 - 16 = 0. Calculate u*y(p) - 4*c(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 14*r - 117 = 0. Let h = -33 - r. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -6 (b) 0.1 (c) -8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/5)\/((-2)\/(-10)). Suppose -5*b = 2*v - 102, 2*b + 3*v = v + j. Suppose -b = -2*m - 3*m. Solve m*w - u - 10 = 0, -3*w - w = 3*u - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0476 - -2.0524. What is the second biggest value in -0.5, -3, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 31 + 41 = 0. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242.515 and -14.\nAnswer: -256.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + r + 5 = 0, 225*r = 3*p + 221*r - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 8. Calculate the remainder when 74 - -30*(-4)\/(-12) is divided by t(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -29\/4. Let q = 6.1 + -4.1. What is the nearest to g in 0.2, 3, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47126967 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - (-2)\/3. Let d = 19 + -19. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-126))\/5*(-936)\/7280.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 24621 = 4*p - 22139, s + 4*p = 11681. Is s a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 >= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1567064 (base 15) to base 14.\nAnswer: -20bc201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-2)*(-3)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)*2*2)\/sqrt(11) + ((sqrt(539) - 2*sqrt(539)) + sqrt(44)\/sqrt(4) + 2)*-4.\nAnswer: -8 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 13\/(-2). Let d = -149.8493 + -0.1507. Let g = -148 - d. Which is the second biggest value? (a) j (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -46. Let s = z + -19. Solve -9\/5*j**2 + s - 2\/5*j = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -13.96. Let a(h) = -6*h + 12. Suppose 5*p = -2*l - 0*l + 2, -12 = 3*l. Let q be a(p). Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-200)*-2995)\/((-4)\/(-10)). Let v be (n\/4)\/((-27)\/(-360)). Round v to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/30 + u**4\/2 - 3*u**3 + 4*u**2 + 26*u. Let k(m) be the first derivative of o(m). Solve k(f) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1457 + 1434 + 1 + (3 - -1) - -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let f(n) = -5*n + 2. Let q be f(m). Let j be ((-36)\/(-42))\/(66\/(-385)*-25 + -4). Solve j*x + q = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 91.962. Let k = -3.962 + r. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 + 23*k**2 - 6*k + 11. Calculate s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180581654 by -2.\nAnswer: 90290827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g**3 - g**2 - 13*g + 14. Let u be y(1). Solve -2*d = 4*x + 12, -u = d + d + 5*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*l = 0, -4*a + 2*l - 5 = -3*l. Let c(m) = 4*m + 7. Let p(v) = -6*v - 10. Determine a*p(h) + 7*c(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 4*r**2 - 3*r - 3. Let q be x(-2). Suppose q*w - 2*s - 154 - 55 = 0, s = -4*w + 264. Suppose w = -11*z + 892. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x**5 + 0*x**3 + 1\/4*x**4 + 0*x**6 + 5*x**2 + 0 + 0*x**7 - 13\/336*x**8 + 0*x. Find the second derivative of f(g) wrt g.\nAnswer: -260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.7 take away -4?\nAnswer: 118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28.4*-1.4\nAnswer: 39.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6*895 + (-10)\/60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g**(-2)\/g)\/g*g*g)\/g)\/g)**42\/(g**2)**(-35\/6))**(-1) assuming g is positive.\nAnswer: g**(343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259 + 1260 + 415*t + 93*t.\nAnswer: 508*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5176*l*p*t - l*p - 66*l + 2*p - 1 wrt t?\nAnswer: -5176*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 2548*t**2 - 10*t.\nAnswer: 2548*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 1. Let o be p(3). Let k = o - -1. Calculate the remainder when 18 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15113 divided by 8448\nAnswer: -15113\/8448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/549, -0.01, -4, 89 in descending order.\nAnswer: 89, 2\/549, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.9 - -25.3. Let h = 10.4 - r. Let j = 6 + -5.8. Which is the closest to j? (a) -2\/3 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = 6*f. Suppose 0 = -j + 3*z - 2, j + f*z - 16 = -0*j. Let w be 6 + -9 + (j - 2). Solve -w*b = b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55684627\/1617 - -34437. Let s = m + -22461\/2156. Find the common denominator of s and 49\/86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 742?\nAnswer: 741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + (-1 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/51 - 43\/204. Let o(l) = 2*l + 6. Let d be o(-4). What is the closest to q in d, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21128*72.\nAnswer: 15.21216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-8 - (22 - -8)) - (-3 - (3 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 + 3*v + 1. Let i(w) = w**2. Let s(r) = -c(r) - 2*i(r). Let m be s(4). What is the highest common divisor of m and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 4*r**5 - r**5 + (-1 + 1 + 3)*(5*r**5 - 7*r + 7*r).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*g - 7*g - 22*g)*(0*g - 3*g - 6*g)*(6 - 2 - 9).\nAnswer: -2340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/11, 1, 3\/4, -444?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 15, -3 in ascending order.\nAnswer: -4, -3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c - 5. Suppose 0 = u - 0*u. Let l be j(u). Let g(z) = -z**3 - 5*z**2 - z - 2. What is the smallest common multiple of g(l) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73636 + -73636.0045747. Round m to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2 - -3. Let h = -136 - -189.7. Let f = -54 + h. What is the nearest to 0 in 0.1, f, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 5987640.7.\nAnswer: 29938203.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c + c)*(0 - 1 - 1)*((3 + 0 - 1)*(-4*c + 2*c + c) - 37*c - 303*c + 7*c) to m*c + g*c**2 + b and give g.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 5}. Give prob of sequence dff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzzz when four letters picked without replacement from {n: 3, z: 17}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12039*j**2 - 250*j - 245*j + 495*j + 12044*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/(1\/3). Let m = 0 + g. Suppose 18 = 3*p - m*i - 96, -3*i = p - 38. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442334040 (base 5) to base 3.\nAnswer: -10121110000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-1)\/(-6)). Let o be 80\/(-210)*6\/(-8). Factor 0 - 2\/7*l**4 + 2\/7*l**3 - 2\/7*l + o*l**h.\nAnswer: -2*l*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-42))\/((-356)\/534)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from lvvwwl?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 + (12 - 1))*25*(-5538)\/79875\nAnswer: -104\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 38.3. Let p = 20\/209 - -2\/209. Which is the smallest value? (a) p (b) 3 (c) v (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 + 1195*d**2 + 1300*d - 24000 = 0.\nAnswer: -5, 4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-18)*(-24)\/(-810).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.8 - -42. Which is the closest to -0.1? (a) n (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y - 1 = 0. Which is the smallest value? (a) 0.5 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 0 = 6*a. Calculate the remainder when 36 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101404824127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -97?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 2*v - 25 - 4*v**2 + 8 + 8*v. Let r(h) = -2*h**3 + 3*h**2 + 3*h + 4. Let z be r(3). What are the prime factors of l(z)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 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: Solve 7737288*u**3 + 5455468*u**2 + 198172*u - 8 = 0.\nAnswer: -2\/3, -1\/26, 1\/24799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsssssqsssqqsssssss. What is prob of picking 1 q and 3 s?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402 - 401. Solve 3*c - g = 2*j, -50 = 4*c + 5*j - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471703716 to the nearest integer?\nAnswer: 21719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -979.6 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -8*y**2 + 0 + 0*y + 2\/75*y**5 - 7\/30*y**4 - 4\/15*y**3 + 7\/150*y**6. Let j(z) = 0. Calculate z.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 4*l**4 + l**4 + (l**2 + l**4 - l**2)*(-1 + 2 + 0) - 30*l - 25*l - 573*l**4 + 55*l.\nAnswer: -575*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 22693924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a**3 - 876*a**2\/7 - 1287*a\/7 + 54\/7 = 0. Calculate a.\nAnswer: -3, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3282*s - 268 = 5*o + 3270*s, -s + 20 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -31, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 34*x**3 + 9*x - 7. Let i(z) = 17*z**3 + 5*z - 4. Determine -7*i(c) + 4*s(c).\nAnswer: 17*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -0*l - 2*l + 12, 0 = 5*t + 3*l - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 399 - 319 = -322 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 2*r + 80. Suppose 4 = 4*f - r. Let m(b) be the first derivative of -b**3\/3 + 5*b**2\/2 - b - 3. Give m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 + 1349. What are the prime factors of k?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*h**3\/4 + 9019*h**2\/4 - 285*h\/2.\nAnswer: h*(h + 95)*(95*h - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 344863, 344861, 344857, 344851, 344843, 344833?\n\"Answer: -s**2 + s + 344863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvc when four letters picked without replacement from cvvvcccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*m - 300, 3*k + 5*m = 96 + 158. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7428415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 4*r - 0*d, 3*r - 5*d = -22. Let t = -3889\/9 + 431. Is t less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 - 3*d + 3*d**2 - 12*d**2 - 10 + 7 + 4*d**2. Let g(c) = -c**2 - c - 1. What is 3*g(j) - z(j)?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/30 + l**4\/8 - 2*l**3 + 9*l**2. Let m be j(2). Factor -2\/7*c**3 + 2\/7 - 2\/7*c**m + 2\/7*c.\nAnswer: -2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 2*t + t - 3*t**4 - 3*t**3 + 6*t**4.\nAnswer: 3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3\/2 + z**2 - 3*z. Let h be t(-3). Solve -4*v = -3*w - 2*w + 8, 3*w - h = v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*-5 + 2 + -1.\nAnswer: -10*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6197.\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28791744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -912 + 91*v**3 + 909 + 64*v**2 + 315*v**3 wrt v?\nAnswer: 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24187\/3 - -27210371\/3375. Let g = v + 61891\/13500. Find the common denominator of 10\/5*67\/(-44) and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411445451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -22*s - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 75*h + 46 + 89*h - 165*h. Determine o(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 7. Let z be (1*-1)\/((-1)\/1). Which is the closest to 0? (a) i (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58969632133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.117 in 0.1, -0.4, 3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*-5)\/5*(3\/4)\/((-3)\/22).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6 and 30\/9959.\nAnswer: 59754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h + 2 = 76. Calculate the remainder when 247 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13247621*j**4 + 28*j - 127150?\nAnswer: -158971452*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 3*w**2 - 2 - 9*w**2 + w - 5*w. Let u be v(-2). Are u and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 422595 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 - 14)\/(15\/140). Let p be ((45\/(-3))\/3)\/(-1). Solve -p*d = o - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 0*c**2 + 4*c**2 + (c - 1 + 1)*(-2*c + 0*c + 0*c) + 3*c**2 + 0*c**2 + 0*c**2 to t*c**2 + s*c + v and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)\/m*m)\/(m\/m**(-7)))\/(m**7\/(m*m**(-1))) assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((1\/5)\/(-1)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8*s + 6 + 0.\nAnswer: 8*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*19\/((-1729)\/(-780)). Factor 15\/7*u**4 + s*u**2 - 15\/7*u - 3\/7*u**5 - 30\/7*u**3 + 3\/7.\nAnswer: -3*(u - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 24.45362kg?\nAnswer: 24453620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193 + 408. List the prime factors of y.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 2*f = 0. Suppose f = q - 3*h - 4, 13 = 5*q - 4*h - 7. Solve g - 8 = -q*n, 4*g - 2*n - 12 = 2*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.308619 + 0.027219. Let s = j + 0.3004. Let l = -0.019 + s. Which is greater: -1\/7 or l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 34*u - 37. Let i be q(16). Which is the nearest to 2\/7? (a) -33 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/3 - 308*l**4\/3 + 4054*l**3 - 23408*l**2\/3 + 11552*l\/3 = 0. What is l?\nAnswer: 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*20\/(-110).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 17. Let l be k - 19 - -8*1. Solve -2*r - l = -3*i, 0*r - r = -2*i + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxcccyyxxzycyp. What is prob of sequence yc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (619\/(-1238))\/(-2*1\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914 > 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 14. Let o be z(11). Let v be 1\/(-4) + 34\/o. Let d be 105\/(-99) + v\/12. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 3, a: 3, j: 1, t: 1, i: 2}. What is prob of sequence gj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 483*k**2 - 32*k - 66. What is the hundreds digit of c(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:40 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/30*145\/(-348)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from {x: 5, g: 10, y: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 15. Let r be 99\/(-90) - z\/(-2). Let a be 1\/(1 + 0 + -2). What is the nearest to r in -5\/3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 12 (c) 3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(147) - (sqrt(21)\/sqrt(448) + sqrt(3) + sqrt(3))) + ((-3*sqrt(12))\/sqrt(4) - (-3 + sqrt(3)*1)).\nAnswer: 3 + 175*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 + 3295*f - 16896. Determine a(544).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zimimaw. Give prob of sequence imm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886 - -198337.\nAnswer: 199223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1915, -4, 8 in ascending order.\nAnswer: -4, 8, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/264 and (-7 - 9732\/(-684))*(-6)\/48.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28501405 or 28501414?\nAnswer: 28501414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-196)\/32 - 150\/2480?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01358 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:03 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**8\/42 + 4*d**7\/15 - 7*d**6\/12 - 11*d**5\/15 + 17*d**4\/12 + 8*d**3\/3 + 251*d**2. Determine t so that a(t) = 0.\nAnswer: -8, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/16)\/(-1*-7*(-15)\/(-70)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (99 - 89)) + -78.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzzxqqzx. What is prob of picking 2 x and 2 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/((-84)\/(-8)))\/(4\/72). Solve 6*n - 2*n - b = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110110 + 1101010001100?\nAnswer: 1100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17181*x + 2388298. Determine c(139).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/15)*f*f)\/(((f\/(f**0\/f))\/f)\/f)*f**(-2\/7)*f**(7\/5))\/(f**(-1\/14)\/f**(2\/3))**23 assuming f is positive.\nAnswer: f**(1397\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(176) - (sqrt(176) + -1) - sqrt(176))**2 + (-5 + 0 + sqrt(176))**2)*2.\nAnswer: -112*sqrt(11) + 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*h**5 + 8*h**5 - 5*h + 8*h - 3*h**4 - h**5 + 3*h**4 + (h**2 + 0*h**2 + h**2)*(h**3 - 3*h**3 + h**3) - 3*h**5 - h**5 + 2*h**5 + h**5 - h**5 - 2*h**5.\nAnswer: 16*h**5 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 288291*j**2. Let s(b) = 2*b. Calculate s(d(p)).\nAnswer: 576582*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 7 = -u. Calculate the remainder when 17 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 345 = -5*d, -39532*d + 2*f = -39537*d - 145 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-9))\/((-1)\/6). Let a = -1 + i. Let z = a + 9. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-70)\/6)\/((-115)\/16905)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = -19940 + 19237 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5337 divided by -3.\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**3 - 8*d**2 + 5*d + 9. Let s(l) = -2*l**2 + 6*l**3 - 14643*l + 3*l**2 + 29290*l + 5 - 5*l**2 - 14644*l. Determine -3*c(p) + 5*s(p).\nAnswer: -3*p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13627 - -16267. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/250 and -54\/567125?\nAnswer: 1134250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/5 - (4 + -1). Let q be (2*(-1)\/(-35))\/(114\/(-190)). Is q > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 2.2. Let q = -25\/28 + 8\/7. Which is the second biggest value? (a) z (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, -61428, 2\/231?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + 190*d**2 + 2952*d + 3. Give k(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 127. List the prime factors of k(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6 - (192 + (-46 - 192))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-62)\/22 - -3) + (-1149)\/(-33). Suppose -u*p - 41*p = -71*p. Let z = 1 + -5. Sort p, 4, z in decreasing order.\nAnswer: 4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322221313 (base 4) in base 2?\nAnswer: -100111010101001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 25, -1, -134701, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20139.468 to the nearest 10.\nAnswer: 20140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30047 + -25181. Which is smaller: 34066\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -21)*(-6)\/(-10)*(-25)\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpcjlcpcjrjppjhchhjj. What is prob of sequence rjc?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13519 (base 12) to base 10\nAnswer: -26661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 223 in -119\/8, -1, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058124 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 4750531425\nAnswer: -4750531425.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 3*a - 37 = 0, 114 = 4*f - 2*a. What is the least common multiple of 18 and 1269\/117 + 4\/f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*12\/(-15)*5. Suppose i*r = -2 + 6. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 2 = 2. Suppose o = 5*a - 10*a + 360. Calculate the greatest common divisor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4194*y + 1 - 1398*y - 1403*y - 1397*y. Determine k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 196*z + 456. Give w(-3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 728, 675, 600, 491, 336?\n\"Answer: -2*j**3 + j**2 - 42*j + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*q**2 - 101191*q + 6 + 101191*q + 0*q + 0*q - q**2 + (q + 0*q - 3*q)*(-1 - 2*q + 1) + 2*q**2 - 2*q**2 - 2*q**2 + (-2*q - 4*q + 4*q)*(-3*q + 5*q - 4*q).\nAnswer: 19*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*h - 34, 12*h - 7*h + 59 = -2*z. Suppose -5 = -3*r - 2*r. What is the tens digit of (-2446)\/z + (-10)\/55*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 117441?\nAnswer: 117440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 312 (b) -3 (c) 0 (d) 4 (e) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + x - 6 + 17 + (5 - 4 - 2)*(-9 - 7*x + 9).\nAnswer: 8*x + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 2041*o**2 - 4706*o**2 + 3*o + 2378*o**2 - 3*o to h*o**2 + m + d*o and give h.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(2\/4). Let g be (s + -3)\/(-2) + -1. Let p(o) = o**2 + 7*o + 6. Let x be p(-6). Is g smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/4, 2, -6, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 21 + 19 = 0. Let l be (u\/6)\/(8\/(-12)). Suppose -2*y - 310 = -3*d - 3*y, -l*d + y = -514. What is d rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 11. Suppose t = h - 5. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(504) - (-2*sqrt(504) - sqrt(504))*1)\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 7*q + 5915. Let y be ((-12)\/(-7))\/(26\/q). Calculate the greatest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8184 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2736)*2 + -3)**2.\nAnswer: -576*sqrt(19) + 175113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.02.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -21 (c) -0.5 (d) -0.08 (e) -2\/27 (f) 8.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Find the third derivative of d**6 - d**2 - 2*d**6 + 0*d**p - 3*d**2 wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 160 - 696 = 5*s, 3*f - 1263 = -3*s. Is 83 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165 - -5?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3186 and 3186?\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/6 (b) 1\/4 (c) 2\/49 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 9*y + 12. Let b be ((-4)\/(-6))\/(((-4)\/y)\/2). Suppose -b*q - 5*p = -10, 2 = q + p - 3. Let v(i) = -i - 5. Calculate v(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((2*sqrt(88) - sqrt(88))\/sqrt(2) - sqrt(44))*-6)\/(((1*sqrt(240))\/sqrt(10))\/(sqrt(96)*3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14105, 0.2, -0.2, -0.1, 58.\nAnswer: -14105, -0.2, -0.1, 0.2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 21*b + 27. List the prime factors of h(19).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-559)\/1032*1\/(6\/8)*18\/(-4).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 179.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1269142*y - 1269302*y + 5600 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (10 + -1 + 2 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose n + 23 = b*t, 2 = n + 5. Factor 5*l**5 - 2 + 2 - l - 4*l - t*l**4 + 10*l**2.\nAnswer: 5*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*m - 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-10)\/(-5)*(-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*n**4 + 4*n + 7*n**2 - 5*n - 5*n**2 in the form a*n**4 + x + t*n**3 + k*n + i*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/((z*z**(-1\/4))\/z)))**(3\/8)*z\/(z*z\/(z*(z\/z**7)\/z))*z**5)**(-5\/6) assuming z is positive.\nAnswer: z**(275\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17. Let x be u + 1\/(-2)*(0 + -2). Is (x - (3 - -1)) + (-920)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 1 (c) -4 (d) -0.1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-37433)\/(-656) + -57)*40)\/((-5)\/204)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 596 divided by -2\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -5*f**3\/6 - 10*f**2 + 2040*f. Let c(h) be the third derivative of h**4\/24 + 6*h**2. Calculate c(t(j)).\nAnswer: -5*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 5. Let v(s) be the first derivative of s**3 + 17. Calculate v(y(m)).\nAnswer: 12*m**2 - 60*m + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-2)\/2)\/(-14). Let j = -3 + 3.2. Which is the biggest value? (a) x (b) j (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 11 - 2*g**2 + 0*g**3 + 9 + 3*g**3 in the form k*g + z + d*g**2 + h*g**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 0*n. Sort -5, -3, n in decreasing order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 2) + -3 + -9 - (6 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202002 + 10012211021?\nAnswer: 10012002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-5 + 3) - 6. Let d(l) = 3*l**2 + 147. What is the tens digit of d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1\/1156 (c) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3537 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4656 and -39\/40.\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:57 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1057.\nAnswer: -211.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98009 divided by -98009.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (650\/12)\/(-5) - (109 + -115) - -3. Which is the closest to d? (a) -0.2 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26624712 is divided by 13312334.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(2 - 955\/(-5)). Let g = k - 145. What is the remainder when g is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1508104, -3016210, -4524316, -6032422?\n\"Answer: -1508106*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/49, -1, -0.055?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-8) + 5 + 12\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 124242002?\nAnswer: 124242002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 - 2*k + 2. Let l(h) = -12*h**2 - 7*h + 7. Determine -7*d(t) + 2*l(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Let q(p) = p**2 - 4. Let x(l) = -l**2 + 5. Let c(a) = u*q(a) + 4*x(a). Let g(m) = 14*m**2. Calculate c(g(k)).\nAnswer: 196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735 = -11*z - 1746 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (276\/27 + (-8)\/36)*1. What is the highest common factor of 60 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.01 - 7.01. Is 9 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6892 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 9*i + 100. Let p be l(6). Let f = -55 - -85. Suppose -3 + f = 3*n. Are n and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -y. Let a be (-3 - y)*8\/(-16). Solve -4*w - 24 = 4*k, 0*w - a*k = -2*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 3, v: 4}. Give prob of sequence vv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221\/3 + -72. Let j = 16\/9 - r. Find the common denominator of j and 1 + 655\/(-68) + (-14)\/119.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:22 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 23*x + 111. Let n(g) = 70*g + 332. Let h(z) = -10*a(z) + 3*n(z). Is 40 a factor of h(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 42*o**3 + 3*o**2 - 9*o - 2. Let q be f(-8). Let p = 72242 + q. Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316 less than 28?\nAnswer: 27.9684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = -1. Let q be (0 - g)*(-1 - -2). Suppose q*s - n + 2*n = 1279, 0 = -4*s - n + 1706. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(44))**2 - ((2 + sqrt(11)*3 - sqrt(11)) + sqrt(11))).\nAnswer: -3*sqrt(11) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-32) + (-46)\/(-40)*2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082 times -3?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 39. Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -10*f**3\/3 - 3*f**2 - 32. Suppose b(m) = 0. Calculate m.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d**2 + 6*d**2 + 10*d**2 + 3*d - d**2. Let i be m(-2). Suppose 2*j = 4, 0*j - 2*j - i = -2*v. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1470 and 42840?\nAnswer: 299880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 55037?\nAnswer: -55033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3024)\/324*(-36)\/(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100102962923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21005383 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: Which is smaller: -3819 or -403?\nAnswer: -3819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -419. Calculate the remainder when b is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y. Let k(n) = -n - 3. Let o be k(3). Let t = 22 + -17. Let g(h) = -h + t*h - 6*h + 3*h. Calculate o*g(x) + w(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 37668613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.76 - -0.24. Sort 5, -3, o, -4 in decreasing order.\nAnswer: 5, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlppttpgigte. What is prob of sequence pepg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*l + 15*l**4 - 75*l)*(-6 + 6*l + 6)*(0 + 1 + 0)*(0 - 2 + 6) - 3*l**5 + 13*l**5 - 2*l**5.\nAnswer: 368*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 0.1, -1\/8, 0.4, 4, -1\/2 in increasing order.\nAnswer: -1\/2, -1\/8, 0.1, 0.4, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - -2) - (1 + -23 + 14 + -21)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 28*p**2 - 28*p - 27. Let f be y(-13). Which is the closest to 1\/3? (a) f (b) -49 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.8 - -22. Let o = m - -0.8. Which is the smallest value? (a) o (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = -w, 0*d = 5*w - 4*d + 9. Let u be (-72)\/(-42)*w\/2. Let v be (1 + -3)\/(0 - -1). Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - -10) - (-8 + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 20. Let l(f) = -12*f**2 + 2*f - 2*f + 10*f**2. Determine l(o(h)).\nAnswer: -8*h**4 + 160*h**2 - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 10, 1, -10, -23?\n\"Answer: -i**2 - 4*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*o**2 + 288800\/11 - 1520\/11*o = 0. Calculate o.\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85257 is divided by 21304?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -273*((-32)\/(-10) - 3). Let d(x) = -x**2 + 7*x + 5. Let n be d(-5). Let t = n - r. Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(1250) - sqrt(50))*-4)\/(2*sqrt(10)*2))**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-106)\/6)\/(7\/(-21)). Let g = -23 + x. Suppose -5*m - g = 3*u, 17 = -u - 2*m - 2*m. Which is the second smallest value? (a) u (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 3, c: 3}. Give prob of picking 2 i and 1 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77289 + -52951. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from pprczzpzzmzp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2480310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:40 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 123860*c**4 - 766321325*c**3 + 9212584450*c**2 - 6913001120*c - 16891783040 = 0.\nAnswer: -12392, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -147 in increasing order.\nAnswer: -147, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 42. Let w(j) = 145969 - 145969 + j. Determine w(y(a)).\nAnswer: -a**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + v = -16, n - 5*n - 5*v - 32 = 0. Let o be (-70)\/(-15) - n\/24. Solve o*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -79?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1352 by 1.\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g + 1. Let i be c(2). Let s = 0.5 - -0.6. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 1. Let w be a(1). Factor 2*m**3 - 2*m**5 - 5*m - w*m**4 + 0*m**5 + 2*m**2 + 5*m.\nAnswer: -2*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 - 106 - 30*1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.04, -3, -4, -156 in increasing order.\nAnswer: -156, -4, -3, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/216 + 4*z**5\/45 + 5*z**4\/54 - 101*z**2. Find d, given that r(d) = 0.\nAnswer: -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 - 23*h + 14. Let v be a(11). Let d(w) be the second derivative of 1\/100*w**5 + 0*w**2 + 1\/30*w**4 + 0*w**v + 3*w + 0. Factor d(c).\nAnswer: c**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2) + -1 + -2. Let x be j\/5 - (-44)\/10. Solve -q + x*q = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136, 370, 606, 844, 1084, 1326, 1570?\n\"Answer: z**2 + 231*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**3 + 14*g - 4704. Let j(k) = -5*k**3 + 8*k - 2352. What is -4*a(z) + 7*j(z)?\nAnswer: z**3 + 2352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 708.2, 1\/4, -7\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**2 - m - 12. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 276 = o, 4*o - 301 = -s - 0*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 1. Let w = -327 + 336. Suppose 40 + 14 = -w*p. Give k(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28*(-6)\/(-24) + -8. Let w be g\/27*-75 + 8\/36. Let d be (-8)\/28 - (-275)\/7. Calculate the highest common divisor of w and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/2)*n*n**(-9))\/((n*n*n**(4\/3))\/(n*n**(4\/7)\/n))*((n**(-1\/5)*n)\/n)\/((n*n\/(n\/((n\/n**3)\/n)))\/n)*(n**(5\/4)\/n)\/n**6 assuming n is positive.\nAnswer: n**(-4289\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**7\/1680 + g**5\/20 + 5*g**4\/6 - 66*g**2. Let a(b) be the third derivative of t(b). Let x(p) = -51*p. Give a(x(y)).\nAnswer: 153*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b912 (base 12) to base 11\nAnswer: 142a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i + 48. Suppose 0*o - i = -3*o. Calculate the greatest common divisor of o and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7717941078 to the power of 1\/3, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 409127180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g**3 + g)*((-5*g + 2*g + 0*g)*(2 - 2 + g) + 640*g**2 - 211*g**2 - 266*g**2) + (g - 2 + 2)*(-g**4 + 0*g**4 - g**4).\nAnswer: 318*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/34600 and 87\/48440.\nAnswer: 242200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1*(5 - 1). Let l(k) = -k**3 + 9*k**2 - 8*k - 8. Let i be l(m). Let c = 0 - i. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + 7 + (-2 - -2 - -6) + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265196056 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:54 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose j = c + 3*c. What is the first derivative of p + c - p - 2*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/2 - 3*i**2\/2 + 2*i. Determine b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/8))\/(v**(-2\/19)*v*v*v))\/(v**(-2\/7))**(5\/11))**(5\/9) assuming v is positive.\nAnswer: v**(-36865\/35112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**4 + 23*z**3 + 23*z + 4 wrt z.\nAnswer: -36*z**2 + 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001636 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8074316 nanometers in millimeters?\nAnswer: 0.0000008074316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*l + 1 + 7, 4*t + l = 23. Let c = -695 - -696. What is the smallest common multiple of t and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - (4 - (-7 - -6)). Let n(o) = -12*o - 1 + m*o - 3*o. Let s(g) = 7*g**3 + 6*g - 6. Calculate -6*n(a) + s(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 3. Let y(r) be the first derivative of -r**2 - r - 11. What is -2*t(u) + 5*y(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(30)\/sqrt(6)*-3)**2*-4.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -1 + 49. What is the smallest common multiple of 18 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -11 + -16 + 22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from {e: 12, z: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t - t**4)*(0 - 2 + 0) + (-7*t**4 - 7*t**4 - 6*t**4)*(-3 + 1 - 2).\nAnswer: 82*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29525904071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136728658 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l + 44 = 61*l + 4*y, -4 = 2*l + 4*y for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 10 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 + 11*u + 11. Let s(b) be the second derivative of b**4\/6 + b**3\/3 + b**2 - b - 8. What is 2*l(w) - 11*s(w)?\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 = -s + 7, s = -4. Which is the fourth smallest value? (a) -1\/5 (b) -0.1 (c) 2\/827 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 7*t - 14. Let p be o(8). Suppose 2*h - 3*a = p, -4*h + 2*a = -0*h - 484. Let l = h - 73. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**4 - 4 + 4)*(-2*s + 0*s + 0*s).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxk when three letters picked without replacement from {z: 1, h: 1, x: 2, k: 1, d: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*k**2*q**2 + 61*k**2*q + 14*k*q**2 + 6*k wrt q.\nAnswer: 162*k**2 + 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 8. Let h be n(-6). Suppose 22 = -h*b + 2*r + 124, -2*b + 47 = 3*r. What is the remainder when 1 + (-6)\/3 - -75 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 - 3*t + 5. Give d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 287355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2 + (1 - 2). Let v be j\/4 - (-46)\/8. Let r = -1839 + 1846. Is v <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/5 - 67817*m**2\/5 + 1276285*m - 150015399\/5 = 0.\nAnswer: -67911, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 8. Let h(s) = -s + 1. Determine 3*c(r) - 24*h(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/12)\/(1\/9). What is the second smallest value in z, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/9*((-77285)\/(-5125) + 6\/(-75))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose -q + 26 = b, -q + 2 + g = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17352388 to the nearest integer?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2128 divided by 112.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {f: 5, a: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 d, and 1 c when four letters picked without replacement from iidimicmdii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1636 + 0.2236. What is the closest to 0 in p, -7, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 85*i + 170*i + 7*i**2 - 85*i to the form k*i + z*i**2 + y and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 88*m - 6. Let q(b) = 182*b - 10. What is 7*d(n) - 3*q(n)?\nAnswer: 70*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12051)\/26)\/((-465)\/(-62)) - 2\/10?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*q = 617*q - 3*o + 15, 0 = -3*q + 2*o - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/4 (c) -5 (d) -0.1 (e) 0.4 (f) 485\/13 (g) -22\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10020 in 1, 0, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2395, 2358, 2297, 2200, 2055, 1850, 1573, 1212?\n\"Answer: -2*m**3 - 23*m + 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - 5\/(-25)*-5. Calculate the greatest common divisor of 40 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -65. Solve 0*i - 6 = -t*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23141.\nAnswer: 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 8, -5*t + 0*u = 2*u - 5057. Let b = t + -629. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4088, 8201, 12314, 16427, 20540, 24653?\n\"Answer: 4113*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20 and -25\/114192.\nAnswer: 570960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - x + 15*x - 6 = 10*x, -78 = 4*q + 18*x for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14324377?\nAnswer: 23, 367, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 31*y - 94 = -3*m, 0 = 2*y + 5*m - 49 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 6) + -1 + -2 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-44)*788\/(-4137).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/32)\/((-3)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -5 (b) 4 (c) 1\/6 (d) -788\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1147358619499\/14081286660 + 1\/29582535. Let w = -1455\/17 + k. Find the common denominator of w and ((-546)\/32)\/(342\/(-57)).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1479933 - -1162234.\nAnswer: -317699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 82008?\nAnswer: 656064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324847 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27758 rounded to the nearest one hundred?\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**5 - d**5 + 4*d**5)*(-5 + 2 + 1) + 22*d**5 + 2*d**4 + 9*d**5 - 13*d**5.\nAnswer: 22*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (517\/22 - 24). Let l = 0.85 + -0.05. Which is the second biggest value? (a) l (b) k (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-5)*(-7 + (-104)\/(-12)). Suppose -27*w + 30*w + 14 = 5*u, 0 = 3*w - i*u + 24. Do -21 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 9, 25, 59, 117, 205, 329?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/1 - -292 - (0 - 2). Suppose -2111 + v = -3*w. Suppose 5*i - w = 163. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + -7 + -1 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4*(-7)\/(4*-14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 - -0.006. Round x to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -35 + (45 - 57) + 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-14 + -7)\/(-21). Solve h*t - 18 = 4*y, 0 = 30*t - 29*t + 5*y + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*i**5 - 21*i**4 - 188*i**3 - 75490586*i**2.\nAnswer: 39960*i**2 - 504*i - 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510695416?\nAnswer: 2, 7, 11, 61, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (59 - 9)*(-112)\/(-10). Suppose -x = -9*f + f. Calculate the highest common divisor of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 42 = -25*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n - 127. Let z be x(14). Let c = -39 + z. Solve -2*p = 5*h + 20, 0 = h + c*p - 1 + 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/n**(-3\/7))\/((n**(1\/6)\/n)\/(n**(3\/4)*n)))\/((n**2*n*n**(-4)\/n*n)\/((n*n**(1\/3)*n)\/n)**39) assuming n is positive.\nAnswer: n**(5293\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4216828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - -1*sqrt(88))*6 + 2*sqrt(88)*-2)\/(1*sqrt(968) + -2*sqrt(8)*-5))**2.\nAnswer: 704\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 66 = -3. Suppose -w*o + 24*o = 204. Let k = 9 - -11. Calculate the least common multiple of k and o.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771190131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 15) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -686*a**4\/11 - 16092972*a**3\/11 + 13794312*a**2\/11 - 3941264*a\/11 + 375360\/11 = 0?\nAnswer: -23460, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693, 1474, 2253, 3030, 3805?\nAnswer: 4578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((7 - 7) + 18\/(-4)). Let o = 0.12 - -3.88. What is the nearest to -3 in o, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 6, d: 4}. Give prob of sequence tz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*v - 15, 0 = 3*v - 3*z - 9 - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25784365 to the power of 1\/2, to the nearest integer?\nAnswer: 5078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*t - 32, 2*t + 3*t = 5*m. Let v = m - 11. Let g = -7 - v. Solve -b + 1 - 4 = g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 - 9.4. Let o = 3.90228 + w. Round o to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 36\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(-3)\/48\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -28*c + 3. Let h(l) = -3*l + 2. Let i(d) = 18*h(d) - 2*s(d). Give i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (54\/(-63))\/(1\/7). Let w(j) = -3*j**3 - 6*j**2 - 8*j - 1. Let n(g) = 3*g**3 + 5*g**2 + 8*g + 2. Let l(c) = u*w(c) - 5*n(c). Factor l(v).\nAnswer: (v + 2)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -13724.\nAnswer: 3\/13724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 343645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57557*q*u**2 + 2*q*u - 6003653*q - 5*u**2 wrt u.\nAnswer: 115114*q*u + 2*q - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (322\/28)\/23*11.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -6 - (-1258)\/(-187). Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/15175740 and 57\/308450.\nAnswer: 75878700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715930?\nAnswer: 2, 5, 29, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 497 = 4103. Suppose -15*j + t = -5*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 + -209. Solve -5*n = q + 32 - 9, 4*n = -3*q - u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 16*o**3 + o**2 + 25*o + 30. What is the second derivative of p(q) wrt q?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let m = 5 + v. Which is the third smallest value? (a) 0.3 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:38 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2537963 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 11*x - 10. Calculate r(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**2 + 0 - 1\/28*g**8 - 11\/6*g**4 + 2\/5*g**5 - 1\/3*g**3 + 0*g**6 + 0*g**7 - 13*g. Find the third derivative of k(x) wrt x.\nAnswer: -240*x**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 11, 2*g - 104 = 3*s. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)*0 - -2. Suppose -2*m + o*j + 206 = 2*m, -5*j - 144 = -3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717486931?\nAnswer: 17, 19, 1583, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-182))\/(((-13)\/78)\/((-8)\/12))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 26*p**2 - 71*p + 35. Let f(y) = y + 18. Let s be f(4). List the prime factors of h(s).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/(10\/(-12)). Let y = 23 - 37. Let f = y + 15. Which is greater: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18737.2 in -5, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 6. Let t(d) = -1011. Let v(k) = -361. Let g(r) = -5*t(r) + 14*v(r). Suppose 2*s = -1 - 1. Give s*h(f) + 3*g(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/42 + (-5)\/2. Suppose -4*f + 3*s + 519 + w = 0, -116 = -f - 2*s. Calculate the least common multiple of 6 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1\/60*v**5 - 1\/3*v**4 - 6*v**2 - 22 + 11\/6*v**3 + 0*v. Let c(o) be the second derivative of w(o). What is c(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k - 1 - 47 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o. Suppose 0 = 3*x - 2*r - 176, 4*r + 9 - 5 = 0. Let c = x - 46. Solve -3*l + 2*i + 12 = 0, -3*l + 3*i = -o*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59612848*k**5 + 148914431*k?\nAnswer: -1192256960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164604 by -3.\nAnswer: 54868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((-1*sqrt(133) + sqrt(133))*5 - sqrt(133)))\/((-1*sqrt(875))\/sqrt(5)))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 5:29 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -313534.7929943.\nAnswer: -313534.3929943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**3\/5 - 8468*h**2 + 2297224*h\/5 - 1702240 = 0.\nAnswer: -10639, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 6. Suppose 6*r = -0*r + 12. Suppose -r*t + 15 = 3*t. Let s be l(t). Solve m + s*v = -4, m - 5*v = -m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*o + 8 = -1, -o - 3 = 3*f. Let i be 1*4*15\/5. Solve -i = -3*u - f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 263 = h, -167 = -3*b + b - h. Let f be (b\/(-4) - (-8 + 5))*1. Which is greater: f or -19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(720) + sqrt(720) - (sqrt(5) + (sqrt(5) - sqrt(20)) + 1)**2.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.42, -0.3, -1431?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15025 is divided by 56?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/4859 + -287290\/422733. Let l = 228771461\/95700 - 59762\/25. Let a = w - l. Calculate the common denominator of 97\/20 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 8*k - 5 + 5*k. Let h be l(1). Suppose -h*b + b = -6. Solve -n + 5 = b*y, 0*y + 5*y - 20 = -5*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -82. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m - 15 = -55*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x + 11. What is z(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.49876989 - -5.03575816. Let l = h - 2.537. Round l to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-22)\/198).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -105, -215, -369, -567?\n\"Answer: -22*h**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-7)\/((-70)\/(-3)). Solve -a = 2*s + w - 0*w, -3*s - 4*w + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92160 and 128448.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1761 - -2194. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 4*a**2 - 5. Let b(j) = j**3 + 13*j**2 - 14*j + 2. Let q be b(-14). Let t(u) = u**2 + 6*u**q + 1 - 4*u**2 - 2*u**2. Give -6*t(v) - w(v).\nAnswer: -2*v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/2 - 91*m**4 + 1692*m**3 - 11888*m**2 + 36544*m - 41472 = 0.\nAnswer: 4, 8, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -n + 24, 4*n + n - o = 72. Let a(s) = -s + 39. Is 24 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from ffllllfflffflflllf?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 3*g + 22. Let b(p) = 6*p**2 + 3*p - 21. Let f(a) = -4*b(a) - 5*i(a). Let x be f(-7). Let 8\/15*s + 0 - 2\/15*s**x = 0. What is s?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((6 - 0) + (-231 - -216))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30615 - -8?\nAnswer: -30607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 1619*p - 36556. Give y(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -15 (b) 4 (c) 3 (d) 0.08 (e) 0 (f) 1.05 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26435424 and 21099.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:56 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1155 and -1.04137404.\nAnswer: -0.92587404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -j + 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001201585 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 900 = -3*k, -3*k - 3*s = 780 + 126. Let y = 541 + k. Calculate the highest common factor of 60 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1184618 and 12.\nAnswer: 7107708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*18\/(-4)*35\/(-315).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 287\/42)*-2. Is w less than 145\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 4. Let l(h) = -5*h - 3. Let z be l(f). Suppose -y + r + 8 = 3, -y = r + 5. Solve -2*k = 6 - y, -b - z = 4*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 293 + 1019. What is the highest common divisor of 96 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575016 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96696.92 kilograms in tonnes?\nAnswer: 96.69692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, 4, -125 in increasing order.\nAnswer: -125, -4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 7, t: 3, x: 2, o: 4, e: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4504 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 68. Suppose 112 = -y*f + 87. Let s be (-19)\/(-4) - f\/20. Solve 4*q + 29 = 4*b + s, -3*q = 2*b - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663\/715 + 6\/22?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 187*q**3\/3 + 27*q**2 + 35*q. Differentiate i(t) wrt t.\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**41\/(t**(-6)*((t\/(t\/(t*t**(-5))))\/t)\/t*t) assuming t is positive.\nAnswer: t**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56592603*q**3 + 36557733*q wrt q.\nAnswer: 339555618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11118994?\nAnswer: 2, 739, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 96. Let a = i + -70. Let l be (a - (60\/8)\/(-3))*0. Solve -2*q + 6 = 2*p, l*p - 4*p - q - 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Suppose -5*y + 5*m = -995, 8*m - 12 = r*m. List the prime factors of y.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.6, -0.0225, 1, 3\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1835 - -2000. Calculate the remainder when h is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-36) - (-35)\/4. Suppose i*a - 20 = 4*a. Let u be 8\/6*18\/a. Calculate the highest common factor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c)*(0*c + c + c)*(1 - 1 + c)*(122*c + 234 - 242*c + 121*c).\nAnswer: 2*c**4 + 468*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169540522 is divided by 7089?\nAnswer: 7087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z**5\/11 - 19797040*z**4\/11 - 15837608*z**3\/11 - 3167520*z**2\/11 = 0 for z.\nAnswer: -395940, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499236*d = -499238*d + 4*p - 76, 0 = 4*d - 4*p + 76 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 0*s - 1\/2*s**3 + 0 - 3\/2*s**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85, -177, -271, -367?\n\"Answer: -d**2 - 89*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735758395?\nAnswer: 5, 223, 659873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*f - 16, -2*f + f + 7 = 3*u. Suppose 0 = -2*p - u*i - i + 12, 4*i + 44 = 2*p. Solve -g + p = -3*x, -2 = -x + g - 2*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7241, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390599*a**3 + 390464*a**3 - 781068*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21335376163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i - 3. Let u(c) be the first derivative of -c**2\/2 + 6*c - 15. Let j be u(9). What are the prime factors of w(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 352, 709, 1076, 1459, 1864?\n\"Answer: v**3 - v**2 + 353*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 m when four letters picked without replacement from vhmkvkvmvmk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108892208 divided by 4.\nAnswer: 27223052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.0304985.\nAnswer: -0.00060997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + (5 - (-9 + 8)). Sort g, 2, 6.\nAnswer: g, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16684476 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 40684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 121, -45, -47 in decreasing order.\nAnswer: 121, -4, -45, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:13 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 43562*p**2\/5 - 8715*p - 522756\/5.\nAnswer: (p - 4)*(p + 3)*(p + 43563)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 468\/22230*(100\/12)\/(-5)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.77 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(432) - (1 + sqrt(432) + sqrt(432))**2) + 5 + 2 + ((sqrt(432) - (-1 + sqrt(432)))*6 + 2)**2.\nAnswer: -1663 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.270989 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212627430 and 2625030.\nAnswer: 212627430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 2 = -62 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1464*i**2 - 73493 + 73493 + 3*i + i**2 - 3*i + (0*i + 3*i - 4*i)*(-1 + 1 - 2*i).\nAnswer: 1467*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*9.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10685 is divided by 205?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 26. Let j be 2\/7 - (12 - 1518\/77). Calculate t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 - 34*r**3 + 32*r**2 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1, -68*z + 4*x = -69*z + 204097. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70706659.4 rounded to the nearest one million?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13491 + 34923 = 38*f. Put -5, f, 2, -4 in descending order.\nAnswer: f, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -344?\nAnswer: 5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 - 7*g - 4. Calculate s(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -228 - -228.000057. What is c rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.59 - -141.41. Let g = 140 - t. Which is the closest to 0.1? (a) -2\/5 (b) -9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*x + 506 = 0, 0 = l + 2*x - 4*x - 128. Suppose 0 = -5*w + l - 16. Let h = w - 12. What is the smallest common multiple of 18 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((-18)\/10 - ((-17328)\/2660 + -27))\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 9.8, -22 in decreasing order.\nAnswer: 9.8, 0.06, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 5*m + 29. Determine u(26).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 2:55 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -55\/6*d**3 - 2\/35*d**7 + 0*d**5 + 0*d + 0 + 0*d**4 - 21*d**2 + 0*d**6. Differentiate t(o) with respect to o.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-4\/13))\/n**40)\/((((((n\/(n\/n**(2\/65)))\/n)\/n*n*n)\/n*n*n)\/n*n)\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-22883\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uku when three letters picked without replacement from puukkpipuukui.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 19*x + 6. Let o be l(17). What is the common denominator of 4\/72*o\/(1 + -4) and -125\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17100 and 10800.\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6971315?\nAnswer: 5, 13, 107251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16432517 (base 10) to base 8.\nAnswer: 76536605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 1\/10 (b) -563 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343431213 (base 5) to base 9.\nAnswer: -2815404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 73\/2 (b) 41 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 1288, 2142, 2996, 3850?\nAnswer: 4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.36?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + (-26 - -13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154585948 rounded to the nearest one million?\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(3 - (-24)\/(-7)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45788033 and 766?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37307*r = 37303*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5796, -16, -4, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -4, -16, -5796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077*y**2 - 188 - 732*y**2 + 188.\nAnswer: -1809*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - a + 21, 0 = 3*s + 2*s + 3*a - 51. What is the remainder when 44 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 341 = -299. Is 64 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2141 (base 7) to base 10.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i**3 + 4*i - 4*i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5, 0 = -2*c + 4*m + 5 - 1. Suppose -c*u + 10 = -x, 3*u = 3*x + 2*u - 3. List the prime factors of x - (2*-1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 24660*s - 1156822. Give x(47).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**5 - 1\/2*f**2 + 0*f**3 + 0 - 9*f + 7\/30*f**6 + 0*f**4. What is the first derivative of d(h) wrt h?\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2809932 - 2809932 - 18*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24303 + 35416. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4*q**3 + 3586934*k**2 - 1056*k*q**3 + 9*k*q - 108 wrt k.\nAnswer: 24*k**2*q**3 + 7173868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 6*l, 4*u + 12 = -4*l. Let i be (-60)\/(-24)*(-12)\/(-10). Let c be u - 20\/(1 - i). Solve -2 = 2*n + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1488*v + 0*v**2 - 1494*v - 3*v**2 as l + k*v + c*v**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39157?\nAnswer: 39157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 6*b + 4. Let s(u) be the first derivative of 2*u**3 + 17*u**2\/2 + 11*u + 83. Determine -17*q(p) + 6*s(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/18 - 5*h**2\/12 + h - 5. Factor r(g).\nAnswer: -(g - 1)*(g + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1496 + 5236 = 0. Suppose -2*g = -6*g + z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + l + 3 = 0, -r = 5*l - l + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111000011101 + -101?\nAnswer: -100010111000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*n**5 + 5*n**5 + 4*n - 14*n wrt n.\nAnswer: -680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 31 + 13 + -35 - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 1. Let t(m) = -4*m**2 - 3. Suppose -17 = -g - 4*l + 5, -4*l = -5*g - 10. Let p(j) = g*t(j) - 6*f(j). Let b(s) = -20*s. Calculate p(b(y)).\nAnswer: -800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*19\/114)\/(12\/27)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70, -67, -62, -55, -46, -35, -22?\n\"Answer: o**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -999381*4\nAnswer: -3997524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18649554837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/7 - 144534*y**2\/7 + 578100*y\/7 - 82584 = 0. What is y?\nAnswer: 2, 48174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(9\/3)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k - 6. Let i be w(-4). Let l(a) = -a - a**2 + 19*a**2 + i - 10*a**2. What is the units digit of l(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-2 - 2 + 3*q + 2).\nAnswer: 9*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u*u**4)\/u)\/u)*u*(u**(-5)*u)\/u)\/((u\/u**(1\/2))\/u**5) assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 51*b**3 + 4*b + 7*b**3 + 0*b as f*b**3 + u + k*b**2 + q*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17194677805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 476\/(-272)*((-459)\/7 + -1). Let w = h - 116. Which is the nearest to -3? (a) 2\/5 (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.61 + 1.39. Let v = f - 69. What is the nearest to 7 in 2\/5, v, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9540488661 + 2570*l - 9540488661.\nAnswer: 2570*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j - 337. Let a be m(-18). Suppose 141 + 9 = a*g. What is the smallest common multiple of 15 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -45 - 16) + 13 + (120 - 0).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 17}. What is prob of picking 2 c?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 13 + w**3 - 16*w**2 - 3 + 11. Suppose 0 = 9*i - 597 + 453. What is the tens digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.9, -1\/8, -4\/41, 0?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1080298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.8939 - -3194366\nAnswer: 3194367.8939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from exexxxtxxeexye?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15546906 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 21 = -4*b, -2*x - 3 = -x + 2*b. Let s(l) = 3*l**2 + 1. Let o(m) = 2*m**2 + 1. Give x*s(n) + 7*o(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 107*y - 217*y + 111*y)*(-3*y + 2*y + 3*y)*(-3 - 1 + 0).\nAnswer: -8*y**2 + 104*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 8:45 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = -4*j + 80, 5*g - 82 = 4*j. Calculate the highest common divisor of 126 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -37*x - 35. Let p = -52 + 41. What are the prime factors of u(p)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 62*k**2 + 766*k + 2690. Calculate r(73).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -256599 or -256602?\nAnswer: -256599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110961378 and 12329042.\nAnswer: 110961378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 1 - 95 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3 - -2) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.83057774 + 1.8304. What is q rounded to six decimal places?\nAnswer: -0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 1890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 206\/10 + (147 - 168).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - b0?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 35, -1, -11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6442.431 milliseconds to minutes.\nAnswer: 0.10737385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-2) - 7*(-6)\/(-21). Let x be (5\/(-14))\/u*-4. Determine a, given that 0 + x*a**2 + 2\/7*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -8*w + 65978. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/336 and -37\/560?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 25\/9) + 10\/(-15).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923 is divided by 2456.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 56 = -72, 0 = 5*z + f - 119. Solve z + 27 = 10*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1905667 or 1905257?\nAnswer: 1905257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 607a?\nAnswer: 607b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(117) - sqrt(117))*-4*-3)\/(1*sqrt(81)\/(sqrt(144) + sqrt(9))*1).\nAnswer: 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -125, -225, -395, -653, -1017, -1505?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:18 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 13*r**3 + 47*r**4 - 12*r**3 + 8*r - 14*r - r + 9*r to b*r**2 + u*r + h*r**3 + k + s*r**4 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -454 + 456. Solve 0 = 2*q - y*o + 10, 26 = -5*q - 4*o + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - -2*(sqrt(220) + (sqrt(220) - (-1*sqrt(220) - sqrt(220)) - sqrt(220))))\/(-1*(sqrt(891) + 1*sqrt(891))))**2*6.\nAnswer: 490\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w = -28*w + 189 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzevmxmvxxmxmvkmm. What is prob of sequence zzx?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-6)*(-30)\/540. Let y = -0.8 + 2.5. What is the fourth biggest value in 1, y, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from wwiwwzifnfnowfzzow.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 41 - 73)*(2*q**2 - q**2 + 0*q**2)*(2*q**2 + 2*q**2 - 7*q**2).\nAnswer: -90*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -28131\nAnswer: 5\/9377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 100*t**3 + 432*t**2 - 656*t + 320.\nAnswer: 4*(t - 20)*(t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 5. Let r = 2 - -1. Let h(q) = 4*q - 10. Let b(c) = r*h(c) - 5*x(c). What is the first derivative of b(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-546))\/(25\/4*1000\/(-625))?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u. Let o(x) = -x**2 - 1503*x - 6843. Determine r(o(k)).\nAnswer: 9*k**2 + 13527*k + 61587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14987, -14983, -14977, -14969, -14959, -14947?\n\"Answer: l**2 + l - 14989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3932210 and 3794.\nAnswer: 27525470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108176073 a multiple of 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 8*h**2 - 8*h - 8. Give i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -72*r - 1. Let j be x(-5). Let b = j + -93. List the prime factors of b.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, x: 1, p: 2, n: 2, e: 1}. What is prob of sequence ndpo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*v - 3 - 5, 12 = -4*k - 3*v. Let a be -2 + (-400)\/(-266) - 122\/(-427). Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -n + 3012. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) -6562 (c) -1\/3 (d) 1\/6 (e) 5\/3 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s + 8. Is -77*(-1 + s - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + c + 2. Let v(n) be the second derivative of n**4\/6 - n**2\/2 + n. What is 2*d(l) + 3*v(l)?\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*g - 32 - 88 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let b(d) = 2 + f*d - 2. Let o(u) = 4*u + 4*u - 8*u + u**2. Determine o(b(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcffffffjfjfmfujm. What is prob of sequence cffm?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -854184 divided by -6\nAnswer: 142364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-13))**22 assuming q is positive.\nAnswer: q**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 584.5134 kilometers?\nAnswer: 584513400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, -193 in increasing order.\nAnswer: -193, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 + 2*o**3 + 335*o - 334*o + o**3 + 2*o**4 to the form y*o**4 + a*o**2 + s + q*o + f*o**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/6 - 2359*w**2\/6 - 78472*w\/3 - 1324198\/3 = 0. Calculate w.\nAnswer: -2291, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buj when three letters picked without replacement from bnjjndqjqjnjqnuqq.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.085 - 0.432. Let y = -1.017 - t. Sort 0.3, -6, -4, y.\nAnswer: -6, -4, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 39*k + 5. Let u be m(-13). Suppose 4*r - 3*r = -4, -4*b + u*r = -32. Suppose -1\/6*p**b + 0*p + 1\/2*p**2 - 2\/3 = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 11*f**2 + 2*f + 15. Let m be y(-11). Calculate the remainder when 49 is divided by (-168)\/m + (0 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11.2. Let l = -0.04 + -3.96. Let u = l + 7. What is the closest to 0 in u, -3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*16\/(-448))\/((-3)\/72).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2895025.82 rounded to the nearest 1000?\nAnswer: -2895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(110)\/sqrt(44)) + -5 + (sqrt(3) + -4)*2*6*-3.\nAnswer: -34*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -26171*y + 26175*y - 93 - 49, 4*p - 5*y + 92 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-2)\/(-27)). Let o = -10 + d. Let z be (-2)\/6 + (-22)\/(-48). Is o > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336917380 and 3580.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/448)\/(2\/4). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at most -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3867420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12410899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 465, 1436, 3509, 7236, 13169, 21860, 33861, 49724?\n\"Answer: 92*h**3 - h**2 + 330*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12813, -25040, -37313, -49656, -62093?\nAnswer: -74648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29976809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -139, -201, -259, -313, -363?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 61. Let l = 15 - 72\/5. Let -l*x**4 + 2\/5*x**r - 3\/5*x + 1\/5 + 1\/5*x**5 + 2\/5*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**3 - 16*k**2 - 21*k - 9. Suppose 0 = 2*c - o + 19, -3*c + o = -6*c - 21. Is g(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(390\/20)*(1355 + 0). Let r = m - -922. Determine w, given that -18*w**4 - r*w**5 + 62\/3*w**3 - 4\/3 - 2*w + 58\/3*w**2 = 0.\nAnswer: -1, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 1. Let h be r(2). Let v = h - -1. Let u be (-4)\/6*v\/(-4). Which is smaller: u or -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 14.848\nAnswer: 133.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 21. Let x be b(9). What is the derivative of 6*v + 4 + x*v - 2*v wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o**2 - 2*o - 1. Let d be r(-1). Let p(c) = -6*c + 4 - 14 + d. What is the units digit of p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 642, 641, 640, 639?\n\"Answer: -j + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*m - 13 = -3, -2*n - 5*m - 25 = 0. Suppose n = -0*h - h + 4. Suppose -3 = h*b + 5*r - 23, 5*r = 2*b - 40. Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 10*r - 15*r - 3*h, 0 = -r - 2*h - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:13 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 0*m. Suppose 2*c - 5*r + m = c, -4*c = -2*r. Suppose j = -v + 11 + c, -3*j = v - 30. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g**2 - 2*g - 3. Let t(u) = 9*u**2 - 4*u + 4. Let a(h) = -9*h**2 + 5*h - 6. Let p(z) = -3*a(z) - 4*t(z). What is 5*i(o) + 7*p(o)?\nAnswer: 2*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 14) to base 12\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(2*g + g**3 - 2*g)*(-376*g - 223*g + 176*g - 1).\nAnswer: 1692*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-4) + 854\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 142?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11217476 and 0.2.\nAnswer: 11217476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/360 + 5*p**3\/2 + 16*p**2. Let k(j) be the first derivative of m(j). Let f(h) = 17*h. What is k(f(o))?\nAnswer: 289*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -1 + (4 - 3) + -4. Which is smaller: -3\/145 or f?\nAnswer: -3\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 22 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747630351 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1378 = -5*m, 323*m + 441 = a + 321*m. What is the greatest common factor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/185)\/((-1)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422125482 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220220 + 3?\nAnswer: 220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1051473g?\nAnswer: 105147.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3373\/2616 - -82\/109. What is the common denominator of g and -151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5473389 + 1048163.\nAnswer: -4425226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.184681ml?\nAnswer: 0.004184681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44971 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(432) + (sqrt(432) - -2*sqrt(432))))\/((2*sqrt(120))\/sqrt(10)))\/(6*(sqrt(432) + (sqrt(432) - (sqrt(432) - sqrt(432)*2 - sqrt(432))))*-6).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223*u - 223*u - 141*u**2)*(9*u**3 - u**3 - 5*u**3).\nAnswer: -423*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -124*a**3 - 3*a. Let t(u) = 42037*u**3 + 1016*u. Calculate -3*t(j) - 1016*x(j).\nAnswer: -127*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900566217.\nAnswer: 3, 53, 24531863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 19 - 19 + 5*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384416 and 2624?\nAnswer: 768832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51111 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-924)\/(-118503)*81\/6\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1426*w**3 + 311*w**2 - 197360*w.\nAnswer: 8556*w + 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 16*d**3)*(-3001 - 3001 + 6002 + 2059*d).\nAnswer: -32944*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 = -0*b - 6*b + 8*b. Solve 7*x + 407 - b = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g + 5. Let c be 25\/9 + (68\/(-18) - -4). Let q(s) = 358 + c*s - 361 + s. What is 6*d(t) + 10*q(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 409 - 412. Put y, 1\/22, 0 in ascending order.\nAnswer: y, 0, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 90 = 13*x. What is q in -x*q + 0 - 40 + q**2 - 6*q**2 - 15*q = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.84*21\nAnswer: -500.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*s**4 + 7*i*s**3 - i*s**2 + 472*i*s + i + 11652*s**4 + 10*s**2 - 14 wrt s?\nAnswer: -48*i*s + 42*i + 279648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4533, 17919, 40155, 71241?\nAnswer: 111177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 33*v - 86. Let t be a(3). Solve 5*u - 18 = -p + 3, -4*u = -3*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-5 - -9 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - 284674\/(-78). Determine w so that 423*w + 145*w - 5*w**2 - 222 - 108*w - h - 6709 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 s when four letters picked without replacement from xsssxxx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2 + 27*i - 8. Let s be p(4). Let y = 267 - s. Let j = -3 - -5. Solve -y = a - j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659125601?\nAnswer: 29, 241, 94309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) 0.5 (c) -2 (d) -0.4 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**9\/252 - 7*t**7\/30 + t**5\/15 + 11*t**3\/2 + 5*t**2 + 59. Find the third derivative of i(m) wrt m.\nAnswer: -240*m**3 - 1176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21508*b - 23450?\nAnswer: 21508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1680362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 1188 = 29*y - 5*q, 0 = y - 2*q - 284. Solve 0 = 5*n + 267 - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ykadkaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*f - 3. What is the smallest common multiple of 6 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -5, 164, -44?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {s: 2, m: 6, p: 5, k: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -163?\nAnswer: -5\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.027822 to three decimal places.\nAnswer: -3.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 140, 333, 596, 953, 1428, 2045?\n\"Answer: 4*q**3 - q**2 + 122*q - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20476*x**4 - 52799.\nAnswer: -81904*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) -12 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-16 + -4 - 4)) + -31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12768909*p - 14127801 with respect to p.\nAnswer: -12768909","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 3*j, -g - 4*g + 4*j = 2. Let m(v) = 23*v**g - 16*v + 7*v - 14 - 30*v**2 - v**3. List the prime factors of m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3375719.\nAnswer: 1\/3375719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4\/9 + 2\/9*q**3 + 8\/9*q**2 + 10\/9*q = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2097.8 + 2080.8. Let g = -4.1 - -0.1. Let k = g + 7. Sort q, -1\/4, -0.5, k in descending order.\nAnswer: k, -1\/4, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001850273759 to five dps.\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 85 = 2*s, 0 = 2*s - 2*a - 120. Calculate the remainder when s is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 23*l + 20*l + 4 - 22*l.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 9. Let y be k(-9). Let q be y\/14 - 24\/(-56). Let p be -1*(-45597)\/q + 1. Round p to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31677 is divided by 1981?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -7. Let p be (3\/h)\/(1\/(-3)). Let x be (-3)\/p + (-119)\/49. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - 1)*(3*r**2 - 2*r**2 - 3*r**2) + 27*r**2 - 47*r**2 - 49*r**2 + 32*r**2 - 2 - 6 - 24*r**2)*(r - 1 + 1) as b*r**2 + l + h*r + g*r**3 and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:51 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29286988 + 545966\nAnswer: -28741022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 9*q**2 - q + 12. Let a be c(9). Let l be -2 - (a + -4) - -6. Find the third derivative of -6*f**2 + 37 - 37 - 5*f**l wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46663670.4 to the nearest 100000.\nAnswer: -46700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.24 + -10.74. Let g = 13.64 + a. Round g to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/112 and -137\/588?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/2 - 2*l**3\/3 - 13*l**2. Find the first derivative of o(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 682350 - -119?\nAnswer: 682469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4\/2 - 84972*o**3 + 170007*o**2\/2 + 1699470*o = 0?\nAnswer: -56649, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32272 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spps when four letters picked without replacement from {s: 3, p: 12, n: 1}?\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 176. Let l(g) = g + 59. Give -11*l(p) - 4*w(p).\nAnswer: 5*p + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -84. Let g = h - -67. Solve -g*t - 14 - 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15092670 and 44030.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 - 5 = 0. Let l be (-5)\/25 - (-4221)\/5. Suppose -m + l = v*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 18036*t**2 + 3199710*t + 6327292.\nAnswer: 2*(t + 2)*(t + 179)*(t + 8837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 4 + 3*v - 4*v**2 + v**2. Let c be t(-4). What is the units digit of 1\/2*(2 - c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 28*b - 3. Let a be h(-14). Let s(m) = -7*m + 3. Let n(t) = -t + 1. Let j(v) = 5*n(v) - s(v). Let i(l) = -l - 2. Give a*j(f) - 4*i(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721510 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 9*i**2 - 9*i - 9. Let n(o) = o**3 + 1. Let a(u) = -g(u) + 3*n(u). Calculate a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 75131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14898, 29846, 44816, 59814, 74846, 89918, 105036?\n\"Answer: h**3 + 5*h**2 + 14926*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -31, -54, -77, -100?\n\"Answer: -23*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*w**2 - 867*w**2 - 76*w**5 + 2*w**5 wrt w?\nAnswer: -4440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1)*(-3*f**2 - f**2 + 5*f**2) + (-16*f - f - 25*f)*(-f**2 + f**2 - f**2).\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/697759 or 0?\nAnswer: 1\/697759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2.5\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20718 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392115976 is divided by 729.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(8\/(-16)*4\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/600 - o**5\/150 + o**4\/120 + 15*o**2\/2 - 16*o. Let v(h) be the first derivative of k(h). Factor v(g).\nAnswer: g*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -222, -4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:25 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60346 - -4?\nAnswer: 60352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 23*t - 15. Let i be z(22). Let f be (-1)\/((-2 + i)\/(-70)). What is the second derivative of 41*q**4 - 25*q**4 + 29*q**4 - f*q wrt q?\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341088209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y - 2. What is the tens digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -94. List the prime factors of ((-5)\/10)\/(1\/d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281167321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 26. Let z = 41 - i. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 13)*(-8*v - 11*v + 6*v) + 2*v + 0 + 0.\nAnswer: -115*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 - 9. Let a(u) be the first derivative of 20*u**3\/3 - 24*u - 212. Let i(q) = -3*a(q) + 8*b(q). Let n(m) = -60*m**2 - 1. Determine i(n(o)).\nAnswer: -14400*o**4 - 480*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-2) + (-2)\/1. Suppose w*m - m = -136. Let d = m + 113. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**4 - 105*o**3 - 837*o**2 + 945*o = 0.\nAnswer: -21, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 18. Suppose 42*w = 43*w - j. Suppose 0*x = w*x - 651. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(70)\/(sqrt(112) - sqrt(7)))*-6)\/(-4*sqrt(162)*3).\nAnswer: sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31370, 125424, 282154, 501560?\n\"Answer: 31338*d**2 + 40*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567276037 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 4449133312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(76) + (sqrt(76)*-2*-6 - sqrt(76)))*-6)\/((sqrt(108) - (-4*sqrt(108) + sqrt(108)))\/sqrt(3)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 34*t - 20. Determine v(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 1\/1008*n**8 - 4*n**2 + 0*n**4 + 1\/180*n**5 + 0*n + 0*n**3 - 1\/360*n**6 + 0 - 1\/630*n**7. Determine w so that b(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-25))\/7 + 48\/40?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1007\/159*(-2)\/(4\/6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(((-1*-1*sqrt(162) + sqrt(162))*-6 + -1)*-6)**2.\nAnswer: 23328*sqrt(2) + 2519533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**4 + 1940*b**3 - 103965*b**2 + 90450*b + 612360 = 0.\nAnswer: -2, 3, 63, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 413*y + 24369. Give n(72).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-2)\/(-1 - 1). Suppose -4*b - 4*m = -0*b - 12, -15 = -y*m. Suppose 4 = 4*f - b*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120\/71 + -8993\/994. What is the common denominator of (5\/15 + (-221)\/6)\/(-1) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101222020 (base 3) to base 14.\nAnswer: -2cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 - 34170*r - 13934600 = 0. What is r?\nAnswer: -386, 7220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 602 + 208. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 0. Let z(i) = -i**3 - 8*i**2 + i + 8. Let x be z(b). Suppose x = 5*f - 193 - 247. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 1. Let v(t) = -t**2 + 1. Let r(s) = -d(s) + 4*v(s). Let k(q) = -q**2 + 1. Give -4*k(y) + r(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 3*j - 1 + j + 2*j**2 - 7*j to r*j + t + u*j**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i + 1. Let o(b) = 4*b + 5. Let m be o(0). Suppose 3*d = -2*r + 3 - 0, -5*r - 5*d - m = 0. Determine s(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((3 - 3) + 5) - (-5 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/2)*g**(-17)*g**(-6\/7)\/g**19 assuming g is positive.\nAnswer: g**(-509\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34745 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)*g)\/((g*g**(1\/20))\/g)*(g\/(g\/(g*(g*g**(11\/4))\/g*g))*g)**(-46) assuming g is positive.\nAnswer: g**(-5491\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*y - 17, 2*o + 2*o - 24 = 4*y. Let s(m) = o + 4 + 3 + 3 - 6*m**2 + 7*m**2. Calculate s(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 876 + -3591\/4. Let u = -3\/29 + 67\/87. Find the common denominator of u and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/480*10*-2*44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d = 59*d - 4*k - 160495, -4*k = 4*d - 214068. Is d a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, d: 9}. What is prob of sequence ddd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9766699715 from 1.65.\nAnswer: -9766699713.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + -111000?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216 + -156. Suppose -101 - h = -7*i. Which is smaller: i or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l = 45*l + 28. Solve 29 = -4*n + 3*q - 0, -q = 2*n + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3749359 bigger than -3749359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:47 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10524*p**2 - 78*p**4 + 16*p - 10524*p**2 wrt p?\nAnswer: -936*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 5*n + 5 = -5*z, -3*n + 7 = u*n + 2*z. Let w be (-10)\/(-3)*(25 + 1515\/(-75)). Solve -b - n*b - w = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1304 = 3*p - 2*j, 2610 = 2*p + 2*j. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 95*u**5 + 11680*u**4 - 111765*u**3 + 231570*u**2 - 11880*u = 0.\nAnswer: -132, 0, 1\/19, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37959163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 9*o + 6. Let h(r) = -7*r**2 + 19*r - 15. Let t(k) = 2*h(k) + 5*p(k). Let a(y) = 18*y. Give t(a(l)).\nAnswer: 1944*l**2 - 126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1178 and 2542?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217483, 435035, 652655, 870343, 1088099, 1305923?\nAnswer: 1523815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g - 25. Let m be i(11). Let h = -70 + m. Suppose -y - h*y = -510. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2172*b - 21743 = -7318 + 21054 + 10133 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (-216 - -199).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 2583490?\nAnswer: 2583490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1093663959 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51905)\/210586)\/((-105)\/12).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rfgfqqffffrffjfgfqf.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14285133 and 2538?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -647*-37.6\nAnswer: 24327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 68 - 46. Let p(m) = -2*m**3 - 2*m**2 + 3*m**2 + 3*m + 0*m**2 + 1 + 1. Calculate p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u)\/u**15)\/(u**14\/u*u*u\/(u*u\/(u*u**7*u))) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20 and 94\/63105?\nAnswer: 252420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + 35*f + 18*f)*(5 + 4*f - 5) - 2*f**2 + 3*f - 3*f.\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643*l - 1111*l + 5888 = -2018*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 - 3*j + 4. Let i be c(4). Let t = i - 1. Let b = t + -4. Solve -5*k = 3*s + 27, 0*k + b*k = 2*s - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037639 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -350*l**3 - 3*l**2 - 298*l. Let n(k) = -1049*k**3 - 8*k**2 - 893*k. Let d(x) = -3*n(x) + 8*p(x). Find the second derivative of d(t) wrt t.\nAnswer: 2082*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -212544*k**5 - 2948256*k**4 - 2381060*k**3 + 341300*k**2 - 13196*k + 156 = 0.\nAnswer: -13, -1, 1\/36, 3\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -161418 at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*y = -d, 4*d + 4*y = 8. Suppose -148 = s + s - d*u, -3*u = -2*s - 151. Let f be (-2)\/4*s\/5. Solve v + f = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20802887 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13169 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 119\/(-9) - 1\/((-27)\/6). Let q(k) = 704*k + 12. Let x be q(n). Let g = -6507 - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32472, 0.1, 1, 2\/7, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 - 66*y**4 - 351*y**3 - 96*y**2 + 1524*y - 1008 = 0.\nAnswer: -14, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 13807716*f - 15887751761388.\nAnswer: -3*(f + 2301286)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 179004294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 53*z**2 + 112*z + 2965. Is s(-82) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(-3*sqrt(24)\/sqrt(2) + sqrt(12)))\/(-6*-1*sqrt(320)))**2.\nAnswer: 1\/3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000212201022 (base 3) in base 2?\nAnswer: -10000101111101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:22 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s + 361 = 123*s. Suppose -3 = 5*w + 192. Let t be (22 - s)*2\/w. Which is the third smallest value? (a) -5 (b) -15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5774 and 62?\nAnswer: 178994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*x - 134*x**2 - 2 + 138*x.\nAnswer: -134*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 497 + -501. What is the closest to -0.4 in 5, -0.4, l, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, 14, 15, 14?\n\"Answer: -z**2 + 6*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*c + 31497 = 0, 0 = -4*z + 5*z + 4*c - 10499. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 733, 3 in increasing order.\nAnswer: -3, 3, 733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4058, -4141, -4338, -4703, -5290, -6153, -7346?\n\"Answer: -9*g**3 - 3*g**2 - 11*g - 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = 646. Let w = -101 - d. Let p = w + -591\/10. Is p < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let z(c) = -c**3 - 5*c**2 - c - 1. Let g be z(-5). Let w be (24\/9)\/g*6. Give s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6767*b - 54121. Determine t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5177413 nanometers to millimeters.\nAnswer: 0.0000005177413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.7, 4868, 5 in decreasing order.\nAnswer: 4868, 5, 0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.368227 - 6?\nAnswer: -4.631773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 18 - 104*p - 16 - 291*p - 13*p in the form t*p + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 192790975598.77?\nAnswer: -192790975593.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3 - 5955*b**2 + 11925*b - 5965 = 0 for b.\nAnswer: -1193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/5)\/(6\/15). Suppose -s = -u - 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3269216 and 1083?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 6, v: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 10*f - 27. Give l(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116.9 - 767.9. Let a = f + 651.0403. What is a rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90194 - -90190. Let z = 2\/297 - 608\/2079. What is the fourth biggest value in 3, z, -1\/12, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**7\/21 - 3*y**6\/10 - 9*y**5\/10 - y**4\/12 + y**3 + 2059*y. Solve k(r) = 0.\nAnswer: -1, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g**2 - 416*g + 69. Does 2 divide q(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.02. Let h = d - 0.28. Let t = 1.7 + -2. Which is the nearest to t? (a) -3\/8 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 361?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 153179?\nAnswer: -153180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u - 5 - 5*u + u + 16. Let w(q) = -5*q + 5. Suppose 16 = -4*z - 0*z. What is z*g(r) + 9*w(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**8\/784 + 4*r**7\/735 + r**6\/120 + r**5\/210 - 2*r**2. Factor g(q).\nAnswer: q**2*(q + 1)**2*(3*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 1 - 1 + 0. Let k(q) be the first derivative of 0*q**2 + 0*q - 1\/3*q**3 + 1. Give h(k(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/3 (b) -603 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, 1216, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**3 - 8*r**3 - 49*r**3 - 2*r - 2*r**2 to the form x*r + n*r**2 + f*r**3 + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j)*(60 + 4899*j + 9465*j - 60 - 1940*j).\nAnswer: -24848*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7 - 10) + 8 - 19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 + 1?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4))**13\/(u**3)**(-10) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 7\/2, 1\/4, 49.91, 0.04, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -31*d**3 + 3*d**2 + 3*d - 15. Let f(z) = 30*z**3 - 2*z**2 - 2*z + 15. Let k(r) = 3*f(r) + 2*o(r). Differentiate k(x) with respect to x.\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 divided by 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/367 - 51374\/1101. Let y = r + 2386\/51. What is c in 2\/17 + 2\/17*c**3 - 2\/17*c**2 - y*c = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/13 - 101522*c**2\/13 + 1015038*c\/13 - 913518\/13 = 0. What is c?\nAnswer: 1, 9, 50751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 + 1 + -2 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-142)\/(-8)*(-8)\/78. Let h = 2\/13 + q. Suppose 2*w = -z + 23, 4*z + 0 = -w + 8. Which is the nearest to w? (a) h (b) 2\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-4692))\/((-66)\/(-255))\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0 + 3. Let m be (-43)\/(-9) - (-20)\/90. Suppose 0 = b - m*r - 5, 12 = n*b - 3*r - 3. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 + 562536)*(-3)\/2. Let v = q - -443819. Round v to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1780 and 5146692.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1 - 4 - 8) + -12 + -4 + 10\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from nntnnznnn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 44 = -3*f + 5*y, 0 = y - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 3*j + 3*j to the form w + b*j and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 2*m\/3 - 48.\nAnswer: 2*(m - 8)*(m + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 10*w**2 + 6*w - 2. Let k(p) = -7*p**3 + 19*p**2 + 13*p - 5. Let i(s) = -5*d(s) + 3*k(s). Let z be i(8). Let n(l) = -3*l + 2. What is n(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-51*7\/(-4998).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110253 (base 7) in base 2?\nAnswer: 100101110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-14)*2\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115.4455 + 114.19. Round d to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Suppose m + 0*v - 3*v - 17 = 0, -5*v - 25 = l. Which is the biggest value? (a) -3 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -15, -15\/7, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 16) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b5 + 24d?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(500)*-3)**2 - (sqrt(25)\/sqrt(80) - (sqrt(5) - sqrt(45)*6)**2).\nAnswer: -sqrt(5)\/4 + 5947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7390 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2508284905.\nAnswer: 5, 7, 19, 107, 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129572 (base 10) to base 7.\nAnswer: -1046522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 788818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/459412989 and -25\/1312073.\nAnswer: 3215890923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 46. List the prime factors of (z\/(-28))\/(2\/16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 - -4.29. Which is the second biggest value? (a) 5 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*i + 5*q, 0 = -3*i + 4*q + 3 + 23. Let x be (201 - i)\/(-4 + 3). What is the remainder when (-42)\/28 + x\/(-2) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*b + 9 = 0, -2*s - 68*b - 439 = -157 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 18 = 0. Calculate the greatest common factor of 48 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/7))**37\/(((w*w**(-1\/21))\/w)\/(w\/(w*w\/w**(-24)))))**(1\/17) assuming w is positive.\nAnswer: w**(-59\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(147) + sqrt(147)*-3 - sqrt(147)).\nAnswer: -sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1152*t**4 + 37*t**2 + 402867*t wrt t.\nAnswer: 13824*t**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = 3*y - 0, 4*y + 5 = -5*k. Suppose k*u = -4*h - 16, u + 4*h + 16 = -3*u. Suppose -1 + u = -t. Calculate the highest common divisor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.734281 nanograms to kilograms.\nAnswer: 0.000000000000734281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128181 + -80908. List the prime factors of q.\nAnswer: 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.49, -16\/7, -0.2, 13, 2\/7, 4, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102\/5 + 20*g - 2\/5*g**2.\nAnswer: -2*(g - 51)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1001.297cm?\nAnswer: 0.01001297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 109, 94, 75, 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.9 - -15. Let o = 0.4 - -3.6. Which is the second smallest value? (a) z (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -11105184.\nAnswer: -11105193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18*s**2 - 5*s - 1157. Let h(p) = -p. Calculate r(h(d)).\nAnswer: -18*d**2 + 5*d - 1157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9. Let v = s - -1. Is 1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*b + 7 = 0, -b - 3*b + 50 = 5*d. Suppose -708 = -10*m + d*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**9\/3024 - i**5\/120 + i**4\/4 - 2*i. Let l(a) be the third derivative of k(a). Differentiate l(w) with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h - 2. Let b(s) = s. Let k(w) = -w**2 - 7*w + 7. Let x = -5 - 3. Let f be k(x). Let d be (-1)\/(-2)*(6 - -4). Determine d*b(v) + f*a(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1425052000 to the nearest one million.\nAnswer: 1425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/202 < 4531\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:16 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3620193\/3655288 + 1\/70294. Calculate the common denominator of -37\/28 and q.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 + 6*m**2 - 4*m - 5. Let s(q) = -17*q**3 + 17*q**2 - 11*q - 14. Let o be 9\/6 - 5\/(-2). Suppose 0 = a + 6 + 5. Calculate a*z(c) + o*s(c).\nAnswer: -2*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2045604*l - 681876*l - 681855*l - 681875*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5149\/9 - 573. Find the common denominator of i and -17\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1227565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -1046 (c) -101 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from pwwwantw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3398 + -3402. Let y(g) = -g**2 + 5*g - 4. Let s be y(3). Let u = 6 - s. Put 48, u, j in decreasing order.\nAnswer: 48, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72767646 divided by 3969?\nAnswer: -18334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -183. Calculate the smallest common multiple of m and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5467 - -1?\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 183521541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, t: 5, v: 1}. What is prob of picking 1 t and 1 l?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = b + 2*b + y, 0 = 3*b - 5*y - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20818*m**3 - 27212*m + 5774*m**3 + 12530*m**3 + 27212*m.\nAnswer: 39122*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -541 (base 8) to base 10\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**3 - 2*q**2 + 1. Let h be v(1). Suppose -o + 8 = -2*i + 3*o, 2 = -5*i + 4*o. Let t = h - i. Solve -3*z + 2 = -x, -4*x + t*z - 19 + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42336)\/2592 - 774\/(-48).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let w be (3\/(-3))\/m - -65. Suppose c - 31 = -3*n, -2*c + 0*c - 4*n + w = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1696.84 + 51.24. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -3\/2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -70457 (base 11) to base 16\nAnswer: -19279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 2, 0 = 5*c + 2*a - 12. Let n(r) = -6*r**2 - c*r**2 - 1405*r**3 + 1404*r**3 - 3 + 9*r. Give n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 207.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 + -4. Let o = -200.4 + 229. Let g = 29 - o. Which is the biggest value? (a) -2\/7 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 249*g**2 - 2718*g - 390091. Give z(-126).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 10 + 21 - 5 - 223*b to a*b + m and give a.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 1. Let i(r) = 2*r - 3. Calculate 6*b(q) + 2*i(q).\nAnswer: -6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 + 52?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-14)*(-2)\/(-5). Which is the biggest value? (a) 0.3 (b) 2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -37*z + 135 + 95 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*c - 0*c - 5, p = 2. Suppose -2*z + c*z = 6. Solve z*y - 3*y = 3, 3*w + 3*y = -24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2350876 and -37\/138.\nAnswer: 7052628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 15224664*k\/11 - 28973799239112\/11.\nAnswer: -2*(k - 3806166)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187357170.\nAnswer: 2, 3, 5, 7, 11, 13, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/20)\/(18\/408). Sort -1, -5, -2, v.\nAnswer: v, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26143756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19706383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y. Let n(x) = -2*x**2 - 17*x - 1. Let t(h) = 3*n(h) - 7*v(h). Let q be t(-6). Solve 1 = -k, -2*k = m + 4*m - q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k. Let z(i) = -2*i. Let f(q) = -2*s(q) + z(q). Let g(o) = -31 + 567*o - 17 + 298*o + 48. Give f(g(c)).\nAnswer: 1496450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. Calculate the least common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64b (base 15) in base 4?\nAnswer: 112031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3777b + 13?\nAnswer: 37792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 20*l + 2*l)*(-1 + 1 - 4)*(-5*l + 2 - 2).\nAnswer: -280*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, 3, -5, 1.\nAnswer: -5, -2, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -7*w**5\/10 - 3*w**4\/2 - 2*w**3\/3 - 3*w - 2. Let v(l) be the first derivative of n(l). Solve v(r) = 0 for r.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010101101000011001 + 11011?\nAnswer: 10011010101101000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, 0.3, -0.11 in descending order.\nAnswer: 3\/4, 0.3, 0, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -93*j**2 + 5*j. Let y(b) = b. Let h(z) = -c(z) + 4*y(z). Let a(k) = 48729*k - 97461*k + 48730*k. Give h(a(w)).\nAnswer: 372*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7129 + 7130. What is the second biggest value in -0.046, 0.2, d, 2\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p + 35 = 51*p. Let v(h) = h**2 + h + 4. Let a be v(2). Solve 5*y - p*t = 0, -2*y = 5*t - 18 - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -193*a*y**2 + 232228*a - 307*y**4 wrt y?\nAnswer: -386*a*y - 1228*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + 2*sqrt(36))*-5)\/sqrt(3))\/(1*2*sqrt(6) - sqrt(42)\/sqrt(112)).\nAnswer: -60*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 28. Suppose -q - f = -4*q + 58, u*q + 4*f - 68 = 0. Let o = q - 1. What is the remainder when o is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o + 19*o + 319530*o**2 - 319458*o**2.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 16*d**2 + 21*d - 99. Let p be v(15). Let r(j) = -16*j**3 - 9*j - 3. Let g(z) = -4*z**3 - 2*z - 1. What is p*g(i) + 2*r(i)?\nAnswer: 4*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6516558 millilitres to litres.\nAnswer: 0.0006516558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44174*h**2*z**4 - 2*h**2*z + 2*h*z**5 - 22734*h wrt z.\nAnswer: -530088*h**2*z**2 + 40*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*j*s + h**3 + 13029*h**2*j + 13270*h**2 - 480301163*j*s wrt s.\nAnswer: h**3*j - 480301163*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yghyygyiyigwi. What is prob of picking 2 i and 1 h?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12936701539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 86320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (745\/(-894))\/((-10)\/(-18))*(-52)\/(-18)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 at most 948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + 207\/36. Let f(d) = 3*d - 14. Let i be f(s). Suppose 0 = 4*l - l + 3. Sort l, i, -4.\nAnswer: -4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79137468 and 843.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.65? (a) -0.8 (b) -64 (c) 119 (d) -4 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -22\/9, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((36 - 35)*(2 - (4 - 1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, 559 in ascending order.\nAnswer: -29, -4, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*t - 14 = 0, 5*i - 9*t + 12*t = -5. Let o(j) = -j. Let h be o(-6). Suppose i*p = -p - h. Is -2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-20)\/3))\/(7749\/6888)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((2 + -4)\/4). Let h(i) = -3 + 5 - 4 + 3*i - 3*i**g + 4*i**2. Let r be h(2). Solve y - r = -3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 2*i + 2, 4*c - 2*i = c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 34*x + 78. Let q be g(-19). Let t = 46518\/11 + -7490366\/1771. Let k = t - -6\/23. Sort k, q, -4 in increasing order.\nAnswer: -4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -104*y + 96 + 246. Solve y*o + 37 - 28 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2 - 3 + 6)*(-10 - 14 + 122 + h) to the form g*h + p + f*h**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3628*h**2 + 464383*h + 125. Determine q(128).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.11782063 to three decimal places.\nAnswer: -19.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:38 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-5)\/(-30)). Suppose 10 = l*i + i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/30 + 73291*f**2. Suppose 12 = -4*x, -4 + 0 = -5*u - 2*x. Let m(n) = -u*n**2 + 14*n**2 + 19*n**2. Calculate m(b(a)).\nAnswer: 124*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 25 + ((1 - -12) + -4 - 11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -498, -434, -328, -168, 58?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(-12))\/g)\/(g*g**(1\/6)*g))\/(g**(-11)\/g**6))**14 assuming g is positive.\nAnswer: g**(161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h)*(-1 + 2 + 1)*(-1 + 1 + 1 + (4 + 1 - 3)*(-1 + 0 + 2)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let b = -85 + 82. Let h be m(b). Let j be h - 60\/(-24)*16\/10. Solve 5*r - 3*r + 2 = 4*t, -j*t = -3*r + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1860628 (base 11) to base 8\nAnswer: 14005433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1110233?\nAnswer: 1110232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17108136*b**2 + 2*b + 1555248?\nAnswer: 34216272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14*p = 880. Let n be 5\/(p\/140 - (-410)\/(-742)). Suppose 36 = q - n. List the prime factors of q.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72131\/2 + 36065. Which is the closest to 0? (a) q (b) 4.9 (c) 3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 31*n - 60. What is the lowest common multiple of 90 and w(12)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 + 103 = 80*m - 64*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k + 11. Let t(u) = 7*u + 10. Let l(i) = -6*b(i) + 7*t(i). Let c be l(8). Suppose 0 = p + 1 - c. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k - 1614 = 0, a = -4*a - 3*k + 2034. What is the greatest common divisor of 90 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20410856 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k**4 - 3*k**3 + 3*k - 29. Let u(n) = -54*n**4 + 7*n**3 - 7*n + 59. Let l(z) = 7*i(z) + 3*u(z). What is the first derivative of l(p) wrt p?\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362755 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -76*p - 3726. Let a be f(-53). Is 304 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1607239 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -a + 16 - 11, 3*h = -2*a + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.4798 - 0.0402. Let z = 28 + q. What is z rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/5))*b)\/(b*(b*b**(-2\/3))\/b)*((b\/b**(-5))\/b)\/b**12 assuming b is positive.\nAnswer: b**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/21*(-3)\/(-16)*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.4. Let g = -227.3 - -227.3. Which is the third biggest value? (a) s (b) 0.3 (c) -11 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 4*m**5 + 8*m**5 + (-m - 4*m + 7*m)*(3*m - 627 + 627)*(0*m**3 - 3*m**3 + 4*m**3).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2973*m**3 - 2*m + 2932 wrt m.\nAnswer: -17838*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -15*d + 36. Let u be y(2). Suppose -5*m - 25 = 0, m - u*m - 505 = 2*n. Which is smaller: n or -239?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddddddrrdzdddl. Give prob of picking 1 d and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1978268 by 75.\nAnswer: 1978268\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-810)*((-119)\/714)\/(1\/30)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 970 - -448. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -63*l - 327 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14343*v**5 + 27*v**2 + 1047968*v?\nAnswer: -286860*v**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**3 - 3*o**2 - 3*o - 3. Let s(g) = 28*g**3 - 20*g - 5. Let f(l) = l**3 - l**2 + 3*l. Let p(v) = -5*f(v) - s(v). Calculate 3*p(r) + 5*u(r).\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -1, 2 in descending order.\nAnswer: 2, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - o - 3)*(-13 - 17*o + 20*o - 19).\nAnswer: -3*o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 49, 45, 41, 37, 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2675 + 2685. Which is the second biggest value? (a) -0.4 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 24. Which is the smallest value? (a) y (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, -295.\nAnswer: -295, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.1. What is the biggest value in m, 1, -0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -71.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1093*x - 1076*x + 2142*x - 621 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253.09 less than -43\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:07 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*b - 53*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2755 and -15888637472.\nAnswer: -15888640227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Suppose -3*n - w = -19, -2*w - 12 = -5*n + f. Suppose -24 = -n*r + 16. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2635315361 + -4?\nAnswer: 2635315355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Suppose 3*f - 24 = -p*x, -f - 12 = -6*f + x. Let 0 - 5*t**2 + 5*t**2 - 6*t + f + 3*t**2 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1496)\/252 - (-5 - 1))\/((-28)\/(-392)). Determine w so that -y*w**2 + 26\/9*w - 2\/3 = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (4 - 2\/(-2)). Let c(x) = w*x**2 + 4*x**2 + 5*x - 8 - 6*x**2. What is the remainder when 14 is divided by c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -2.79. Let j = g - -4.8. Which is the third biggest value? (a) j (b) -3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 times 6.94\nAnswer: -2.9148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -686 - -384. Which is greater: -303 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5999 or 5997?\nAnswer: 5997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3 - r + 0*r**2 + 4*r**2 - 9. Let t(m) = 3*m**2 + 3*m + 0*m - 5 - 4*m. Let b(x) = -5*k(x) + 6*t(x). Find the second derivative of b(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434736 and 432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = d + 4*d. Solve f - t + 3 = -0*t, t = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/6 - (-8)\/(-24). Let d = 23 - x. Solve -2*r - r = d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 5*z**2 + 4*z + 5. Let n(m) = -m + 9. Let s be n(7). Let l(g) = g**2 + g. Let t be l(s). Give u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i - 8904 + 19704 = 0 for i.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 7.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 139, 131, 121, 109?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 8}. What is prob of sequence qq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34792*j*s**4 + 512*j*s**3 - 25*j*s**2 - 34*j*s - 3*s**2 - 17973*s wrt s?\nAnswer: -835008*j*s + 3072*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -486, -503, -538, -597, -686?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40622725 to the power of 1\/2, to the nearest integer?\nAnswer: 6374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - 150*(-6)\/9. Suppose x*b - 100*b + 42 = 0. Solve 3*u - b*u = 4*n + 22, 18 = -3*u - 3*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/403558 - -32824600659\/2017790. Let r = y + -16391. Let z = r - -123. Which is the second biggest value? (a) -3 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))\/j)**(-11)*j**3\/j**(4\/7) assuming j is positive.\nAnswer: j**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 489570941 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 854517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than 0.476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23886*d**2 - d**3 + 23893*d**2 + 23787*d**2 + 23895*d**2 - 95461*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -9 in decreasing order.\nAnswer: 5, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -12. Let g = -630 - -628. Suppose 5*w + 15 - 26 = 3*d, 4*w + 2*d = 0. Which is the nearest to j? (a) g (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 13*l**2 - 16*l + 17. Let w be y(-14). Which is smaller: 47 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:36 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47182 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(3\/(-7))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 609 and 2958?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/10 - m**4\/24 + 2*m**2. Let w(v) = 2*v**2 + 18*v + 29. Let h be w(-2). What is b(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) -604\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5047, -10288, -15601, -20986?\n\"Answer: -36*o**2 - 5133*o + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 2*l + 10*l + 15 + 0*l**2 + l**2. Let q be x(-13). What is the third derivative of -q*i**2 - 3*i + 3*i + 3*i**6 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = -54*p - 13*p + 254904. What is the lowest common multiple of 684 and p?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30110513 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 61*s**3 - 101*s**3.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 4. Let a be t(-4). Suppose -a*l + 212 = -0*l. Suppose -5*h = -u - 107, 2*h + 2*u - l = -u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-7)*l*l*l)\/l)\/(l*l**(-4\/3))*(l**(-1\/2))**(13\/5) assuming l is positive.\nAnswer: l**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 155364*c + 2486848.\nAnswer: -4*(c - 38857)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g + 10. Is 74\/g*(6 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 40*y - 271. Suppose -3*s + 89 - 23 = 0. Suppose s = 5*q - 3. What is the remainder when z(7) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421704, 843214, 1264724, 1686234, 2107744, 2529254?\nAnswer: 2950764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(-2))\/(7\/(-210))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 57\/2. Let j = -23411 + 23410.7. Which is the closest to 1? (a) 6 (b) j (c) -2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 15 + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, 29.8, 10?\nAnswer: 29.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x - 62. Give n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -7)*(2\/4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19854061 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-3\/7)*q))**(3\/7) assuming q is positive.\nAnswer: q**(-33\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644251 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -2\/3*g**3 + 0 + 0*g + 1\/24*g**4 + 7*g**2. Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -7. Which is the smallest value? (a) p (b) -1\/34 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.56 + 17.44. Let p = 18 - t. Is p bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 - 9*f**2 + 4*f + 32*f**3 - 11*f**2 + 7.\nAnswer: 32*f**3 + 4*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*a - 6999, 2*a - 4549 = 3*k + 100. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (236\/3)\/(27\/162)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764958539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f - 5. Let p be h(-4). Let g = -25 - -22. Sort p, 4, g.\nAnswer: g, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011 + 11100111?\nAnswer: 101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(1 - z - 1 + (-3 + 3 + 2)*(0*z + 2*z + 0*z)) to the form j*z + r and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let i be 0 + -4 + 4 - (-20 - -18). Let d(y) = -6*y**3 - y**2 - 2*y - 2. What is i*m(a) - d(a)?\nAnswer: 6*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -21\/116 (b) 0 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*r + 58 = 0, i + 22 = 4*r - 2*r. Let v = i - -17. Suppose -v*w + 6*c = 2*c - 34, 2*c - 10 = -2*w. Solve -n = 2*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 14, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 + 8*u - 5. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108\/7 - 944\/63. Let r = 4.1 + -0.1. Let g = -6 + 5. Which is the third biggest value? (a) g (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 29*u**2 - 10. Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l + 47*l**3 + 51*l**3 - 91*l**3 - 1 + 0*l**3 + l**3 + l**3 + (2 - 2 - 2)*(-l**3 + l - l).\nAnswer: 11*l**3 - 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/((-6)\/(-10))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 15*h**2 + 13*h - 13. Let u be x(-14). Let r = 45 + u. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a9fa (base 16) to base 8.\nAnswer: 1124772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173321075 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Let l = s - -2. Let p = -2.3 + -2.7. What is the second smallest value in -3, l, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127535617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*g = -30, 2445721*g - 195 = -50*x + 2445720*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 641, 1336, 2029, 2714, 3385, 4036?\n\"Answer: -g**3 + 5*g**2 + 687*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270.6189 - -32.5219. Let u = m - -238. What is u rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.41. Let t = -6.19 - y. Let c = t - -7. Round c to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69480\/(-668) + (-1689 - -1793)\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - -6 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 626437517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) 0.5 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w + 109. What is the units digit of x(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:51 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 - 2?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k. Let p(f) = -f**2 + f. Let u be p(2). Give x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 14*y**2 - 3. Let x be z(14). What is the tens digit of (-67)\/((4 - 1)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 1 - 1)*(-3*f + f + 3*f) + (7692*f**2 - 16158*f**2 + 7906*f**2)*(-4 + 2 + 0) in the form l*f**2 + o + b*f and give l.\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4351*t - 159788 - 68622 - 89213 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 + 7*d + 10. Let g be l(8). What is the third derivative of -9*t**g + 4*t**6 - 6*t**2 + 138*t**4 - 138*t**4 wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mplm when four letters picked without replacement from pmlllml?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5*w**(-4))**(1\/37)\/((w**0\/w)**35)**(4\/25) assuming w is positive.\nAnswer: w**(1046\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 25690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*m - 453*m = -3. Let l(g) = -10*g + 8. What is l(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 320, 412, 484, 524, 520?\n\"Answer: -2*u**3 + 2*u**2 + 100*u + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2*v - 3. Let x be m(-3). Suppose -15 = r - 113*q + 117*q, -3*r + 10 = q. Is x at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 24 = 4*f, 3*f - i = -0*i - 6*i - 244 + 297 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122869711 to the power of 1\/2, to the nearest integer?\nAnswer: 11085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51\/5 in 2\/11, 2\/5, -0.5, 5\/29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a21 + 2?\nAnswer: 13a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 33. Let p be n(-3). Sort 3, p, 1 in increasing order.\nAnswer: 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.389 and -1581.\nAnswer: -1562.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2102206 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 7*f - 7. Let a be k(-6). Let i = a + 19. Let m(o) = 3*o - 7. What is the remainder when 32 is divided by m(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -121*s**4\/4 - 22*s**3 - 6*s**2 + 54*s. Solve z(i) = 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 17*a**6\/30 + 8*a**2 - 12*a. Differentiate d(q) with respect to q.\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1771060179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79005?\nAnswer: 3, 5, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 40, 83, 144, 223, 320, 435?\n\"Answer: 9*o**2 - 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 342*q - 918. Calculate t(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -592185 rounded to the nearest 1000?\nAnswer: -592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -55. Calculate the remainder when 39 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -1032, -2784, -5976, -11088, -18600?\nAnswer: -28992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012042 (base 5) in base 9?\nAnswer: 105861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4650989810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -46*g**3 - g**2 - 54*g - 196. What are the prime factors of u(-4)?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 42. Let o(m) = -m**3 - 2*m**2 + 7*m - 1. Let y be o(-4). Suppose -y*g + 6*g = -63. Is z(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000925112679 to 7 dps.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 17*i - 127. Let n(y) = 4*y**2 + 27*y - 192. Let j(v) = 7*g(v) - 5*n(v). Calculate j(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2056\/13 - -158. Let i be ((-4)\/(-3))\/((-2)\/6). Which is the third smallest value? (a) y (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161251 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csse when four letters picked without replacement from {s: 2, b: 1, c: 3, e: 1, z: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123360*s = 123394*s + 1054 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/6138 and -107\/3906?\nAnswer: 42966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 7\/12 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t + 0*t - 3*t + 0 + 0 + (-6*t - 5*t + 6*t)*(-1 + 4 + 5))*(2*t + 4*t - 5*t) to d + v*t + s*t**2 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(240)\/sqrt(6))\/sqrt(8))**2.\nAnswer: 10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1)*v)**4\/(v**(1\/3)\/v)**(-18) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15871*l + 18. Let s(b) = 672851054*b - 763104. Calculate 3*s(o) + 127184*v(o).\nAnswer: 15898*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 12 = 0, -u - 18 = 6*y - 7*u + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 8*n**2 - 4*n - 8. Calculate the least common multiple of a(6) and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 8 (c) 2\/33 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 1, -2, -24, 8079, -4.\nAnswer: -24, -4, -2, 0, 1, 22, 8079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 3*g + g**2 - 2*g**2 + 2. Let c be j(2). Let x = 5 - c. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35787 is divided by 421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltlttvlltttsb. What is prob of sequence ltt?\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2. Let j be v(-3). Let p(s) = -2*s + 9. Let y be p(j). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -2, -0.1, 13387, -1, 0, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -0.03676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 361782 - 1.61491.\nAnswer: 361780.38509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 17. Let y(v) = -v**3 + 9*v**2 - 6. Let c be y(9). What is the lowest common multiple of 7 and g(c)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -4\/3, -3\/8, 6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22492 and 0.117?\nAnswer: 2631.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:28 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-4*w + 6*w + 2*w)*(5 - 3 - 3).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 + 48*x + 90. Let v(w) = 14*w**2 - 48*w - 89. Let p(z) = 5*j(z) + 4*v(z). Let q be p(-46). Solve q*c + 12 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/2, 3, 732, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -22*o + 16. Calculate i(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 468*c - 464.\nAnswer: -4*(c - 116)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-38)\/(-57) - 39\/45 - 230\/(-150))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -358073048*k**2 - 76316*k + 16 wrt k?\nAnswer: -716146096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019298 is divided by 136?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 75207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 19*b + 74. Let m(k) = k**2 - 258*k + 3631. Let h be m(15). What is i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8087.175l to millilitres.\nAnswer: 8087175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 177, 179?\n\"Answer: 2*o + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5044*v - 21728. Let l(x) = x - 28. Determine -776*l(k) + n(k).\nAnswer: 4268*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148267\/10 + 14829. What is the common denominator of -38*(-1)\/4 - 1 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.407*0.4\nAnswer: 1.7628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28694*i**2*s**3 + 7*i*s**3 - 2*i*s + 8*i - 130 wrt i?\nAnswer: 57388*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(30\/13)\/(b**(-29)*b)*(b\/(b*b*b*b**(-4\/17)))**(-2\/111) assuming b is positive.\nAnswer: b**(248086\/8177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-4))\/(2\/4). Suppose -2*z - y + 122 + 136 = 0, 0 = 5*z + q*y - 655. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from ssssgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-4 + 7) - -1. Suppose 0 = -2*f + 5*j - 15, d*j = 5*f - 2*f + 6. Solve 4*s - 5 - 11 = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14166 and 1616?\nAnswer: 11446128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22729 or -22728?\nAnswer: -22729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**16*m*m**2)\/(m**(1\/5)*m*m**(1\/5)*m*m) assuming m is positive.\nAnswer: m**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 16 - -17) + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from nxxnqnl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*-2 - (5560\/(-120) + 9).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + 27\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.5, 0.607755726?\nAnswer: 0.607755726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:19 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7355 divided by -5.\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84015661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24686 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -42*a**2 + 8. Let j(h) = -3 + 51*h**2 + 47*h**2 - 123*h**2 + 47*h**2. Let w(y) = 5*j(y) + 2*r(y). Give w(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897246 is divided by 36674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 4. Let t = 0 + -2. Let l = t + -3. Let c(y) = -3*y - 2. Give l*c(z) + 2*m(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vbbbvbbvvbbvbbbbbb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*i**3 + 31*i**3 + i + 6*i + 6*i**3 - 15*i**3 + 0*i**3 + (0*i**2 - 4*i**2 + 5*i**2)*(i - i + 2*i) + 2*i**3 + 4*i**3 - 3*i**3.\nAnswer: -2*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 2\/11, 2\/51, -3\/2, 0.03?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3334 + -102?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12567110?\nAnswer: 2, 5, 1256711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*w**2 + 9*c*w - 701002*c - 4944*w**2 - 2*w wrt w?\nAnswer: -6*c*w + 9*c - 9888*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 324324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 103, 209, 357?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*y + 14, g + y + 10 = 14. Sort 5, 172, -2, g, 1.\nAnswer: -2, 1, g, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 215*w - 2365. Give x(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/(-9) + 4\/(-9). Put k, 4, 3 in ascending order.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from khkvvkkvthkbtktvb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36378 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 23*b + 4 = 0, -4*y = 2*b + 2568. Let q = y - -650. Solve 4*o - h - q = 0, -3*o + 3*h - 9 = -21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2681, -3641, -4613, -5603, -6617, -7661, -8741, -9863?\n\"Answer: -s**3 - 953*s - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 + r**3 + 5*r**2\/2 + 5*r - 4. Let t be k(-5). Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 4, 34, -47, -3, -2 in descending order.\nAnswer: 34, 17, 4, 3, -2, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and (26\/(-6))\/((-8)\/(-3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p - 51. Let x be n(7). What is the greatest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + 1. Suppose p*l + 11 = 19. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Suppose 4*x = 4*n, -n + 0*n = 5*x. Let o(r) be the second derivative of 0*r**2 + 0*r**3 + n + 1\/3*r**4 + r. Determine o(h(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -103 + 25. Suppose x = -n - 1, 4*n - 2*n = -6. Suppose 18 - u = -x*h. Solve -h*d = d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23a4 - -2?\nAnswer: 23a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -89.06. Let t be 3 - (2169\/(-7) + 0 - -2). Let f = 310 - t. Is f < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091\/81 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 15\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let i be f(-4). Suppose -6*m + i*m = 402. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37698 divided by -12566\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:42 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7040638986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*x**4 - x**3 - x**2 + 6*x + 969.\nAnswer: 3168*x**2 - 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449897 is divided by 652?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 545.137128 to the nearest integer.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 - 1. Let p(t) = 5*t**3 - t**2 - 5. Let n be (-6)\/20 + 1161\/270. Determine n*q(l) - p(l).\nAnswer: -l**3 - 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 10\/(-5) + 63. Let b = -18 + y. Suppose -g + 0*t + 4*t = -b, 95 = 2*g - 5*t. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90 - (-3 + 2) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(10\/4) - 0. Let l = -1 + 5. What is the nearest to 0.2 in l, o, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -121. Let t = -80.47 + x. Let j = t - 1.07. Round j to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 77*m**6 + 142*m**3\/3 + 324. Find the third derivative of l(z) wrt z.\nAnswer: 27720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -997.03 - -19.73. Round i to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/23710845 and -161\/1102830.\nAnswer: 47421690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66397583600 rounded to the nearest one million?\nAnswer: 66398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2794 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2 (c) 13\/4 (d) 0.3 (e) -0.4 (f) -64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2273 + -476. Suppose 0 = 5*k - 808 - r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - 579290793570.\nAnswer: -579290793462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -179. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 - 2*x - 9. Suppose 5*c = -4*o - 14, -7*c - o = -2*c + 26. What is h(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 247. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/39 (c) -0.09499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10524, 35, 5 in decreasing order.\nAnswer: 35, 5, 4, -10524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6444428.\nAnswer: 2, 17, 94771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3414244 and 8755?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1305 and 59\/540900.\nAnswer: 15686100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74819207 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*k - 2170, 3*r - r + 5*k = 2164. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 4. Let f = 20 + d. What is the smallest common multiple of 20 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 5. Let z be 12\/(-2) + -3 - -3. Let m be (10\/(-15))\/(z\/27). Let f(v) = 0*v + 2*v + 9 - 4*v. Determine m*f(t) - 5*k(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6300 and 78750.\nAnswer: 157500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*w**5 + 54\/11*w - 20\/11*w**4 + 72\/11*w**3 - 108\/11*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 + 129. Let u = 150 + -94. Calculate the remainder when u is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83876599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 31231 - 6921. List the prime factors of 2\/(-3) + n\/(-30).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - k**4 - 2*k**4 - 4 + 4*k**2 - 3*k**2 - 10 + 12 to the form m*k**2 + n*k**3 + f*k**4 + b*k + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 57600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -5*m - 3*q, 29*m = 14*q - 10*q - 617 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 364027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 4. Let y be d(-3). What is the derivative of -y*k + 9*k + 10 + 19*k wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -509*l**3 + 52*l**2 - 5*l + 41. Is b(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 3*j - 24. Let v be c(6). Let n(y) = y + 1. Let k(b) = -b**2 - 8*b - 6. Calculate v*n(f) - k(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysp when three letters picked without replacement from pyndzsnddnnpnyn.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 92. Let q be -3 + 3\/((-6)\/k). Suppose 0 = -q*j + 22 + 24. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**3 + 66*a**3 - 23*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 4*r - 9. Calculate w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164280*s - 106910 wrt s.\nAnswer: 164280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276890 greater than or equal to 276889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 814908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.61 + -14.61. Put -6, 4, -0.5, g, 1\/2 in increasing order.\nAnswer: -6, -0.5, 1\/2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 12, m: 1}. Give prob of sequence rma.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*p = 4, -3*m - 4*p - 20 = -m. Let h be 24\/(-36) - m\/(-6). Let s(k) = -2*k**2 - k - 1. What is s(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1898 and -53\/8.\nAnswer: 7592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1023891.\nAnswer: -1\/341297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2\/4 - 9775965*y\/2 = 0. What is y?\nAnswer: -3910386, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -18*j**3\/7 + 1300*j**2 + 13173838*j\/7 + 5853240\/7 = 0.\nAnswer: -639, -4\/9, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(29\/2 + -11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = -4*z, -3*y + 8 = y - 4*z. Let h(n) = 17*n + 208. Let k be h(-11). Does 7 divide 3 - y*k - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/120 + 5*x**4\/24 + x**3\/3 - x. Let k(c) be the second derivative of h(c). Let i(u) = -u + 3. What is 5*i(d) - 3*k(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20627 (base 16) to base 14\nAnswer: 364ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17538357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*10\/50.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + p**3 + p - p - 2*p**2 - 1. Let o be z(2). Suppose -b - 4*b + 195995 = -4*q, 5*q + o*b + 245003 = 0. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4 + 25\/4*v**2 + 65\/2*v.\nAnswer: 5*(v + 5)*(5*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 + 32015*y**2 - 288500*y + 256480 = 0.\nAnswer: -6412, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**3 + 453115*b**2 + 57469160*b + 380083200 = 0.\nAnswer: -90496, -120, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1698 + -1669 - (35 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from oooqwrorrooqor?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 45264?\nAnswer: 45260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-5)*35*(-2)\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 42. Let j(n) = 5*n - 210. Let r(b) = 33*g(b) - 6*j(b). Let c be r(0). Is 12 a factor of (4\/(-6))\/(3\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 48 = 20*i. Solve 0*o = 2*o - i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24777726 or 1?\nAnswer: -24777726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 2\/5, -87, -8, 4.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let a(j) = -3 - 415*j**3 - j**2 + 3*j**2 + 413*j**3. What is -a(y) - 3*c(y)?\nAnswer: 2*y**3 + y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y. Let z(m) = m**3 + 9*m**2 + 10*m + 12. Let t be z(-8). Sort t, 4, y in descending order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/7 - 6056*h**2\/7 - 890198*h\/7 - 31959940\/7 = 0.\nAnswer: -71, 3170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((-62)\/(-558))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + g - 3 = 0, -4*c + 4*g + 0*g + 12 = 0. Find the second derivative of 14 + 35 + 25 - 48*o**4 + o - c + 16 wrt o.\nAnswer: -576*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-16 + 11) - 23 - 23.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1704*o**2. Let v(a) be the second derivative of a**3\/3 + 2*a + 40. Give v(k(j)).\nAnswer: -3408*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -0*l + 4*l + 5*k, -5*k = -25. Solve -5*g - 2 = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 - 3*q + 4. Let x be o(-3). Let s(f) be the second derivative of f**5\/20 + f**4\/3 - 2*f**3\/3 + 5*f**2\/2 - 6*f. What is s(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5158323m to millimeters.\nAnswer: 515.8323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 244752.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -44*b**2. Let o(v) = -3*v**2 - 5*v - 5. Let i(l) = -2*l**2 - 3*l - 3. Let c(z) = -5*i(z) + 3*o(z). What is a(c(t))?\nAnswer: -44*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507823?\nAnswer: 179, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.7 + 0.3. Let u = -7 + y. Let q = u + -3. Which is the third biggest value? (a) 2 (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 9*b + 26. Let n = 58 + -54. Let k be x(n). What is the tens digit of (1675\/10 + -4)*k\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 21*g - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*(b*b**(-11))\/b)))*b)\/(b*b\/(b\/b**(-4\/5))))**(-2\/45) assuming b is positive.\nAnswer: b**(-118\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - -2. Suppose -62 = -2*z + 5*v, -v = -2*z - 4*v + x. Suppose -18*l + z*l - 279 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, -3, -1, 0, 808 in descending order.\nAnswer: 808, 7, 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 0*l + 3*l + 5*l - 7*l + 6*l + (-2*l - l + l)*(-8 + 1 + 1) + l + 0*l + l to s + y*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from kkpppkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 16*s**2 + 25*s + 12. Let i be g(14). Let k be (i\/(-6) - 5)\/(-3). Let z = k + 165. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.382 + -0.182. Let a = 4 - 1. Let l = 3 + -5. What is the nearest to i in a, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25447 - 160589 + 33223 = -2180*t + 132767 for t.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110202 + 12?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8 = 2*c, -2*c + 3*x + 22 = -2. Let f be (c - (-138)\/(-24))\/(4\/48). Solve q - 1 = p - 3*q, -f*p = -3*q + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390319193*x**5 - 2547*x**2 + 3234*x - 2 wrt x?\nAnswer: 23419151580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30 - 294*y**3 - 453 + 301*y**3 - 41*y with respect to y.\nAnswer: 21*y**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-60)\/416*(-56)\/70.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (162\/(-8))\/(2094\/528 + -4) is divided by 120?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 6*z**3 + 7 - 7.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(42)\/(-1*(-2*sqrt(6) + sqrt(6))).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1608*g**3 + 6*g**2 - 3695?\nAnswer: -4824*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -185 (b) -3 (c) 0 (d) -0.0764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172 - 355. Let f = 546 + i. Solve -23*q = -f*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900833204 is divided by 5514.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -31*d**3 + 10*d**2 + 76*d - 6. What are the prime factors of c(-7)?\nAnswer: 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824803?\nAnswer: 7, 23, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6604*j**3 + 264*j**2 + 2*j + 7683206 wrt j.\nAnswer: 19812*j**2 + 528*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4550 by 45412.\nAnswer: -2275\/22706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345 - q - 682 + 359.\nAnswer: -q + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18700611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 12752.\nAnswer: 140272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 88 - 105)*(21*k**3 + 5*k - 5*k) to r*k**2 + j*k**3 + n + z*k and give j.\nAnswer: -4578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(-2 + 3)*-1. Let f = n - 0. What is the third derivative of -2*c**5 + c**5 - 6*c**2 + f*c**2 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81282.43 + -5705.23. Let m = 75661.20056 - h. Let i = m - 84. What is i rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1194, 494\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -38*s + 89. Let l(p) = 6*p - 4. Give l(k) + v(k).\nAnswer: -32*k + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9020169 is divided by 31210?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m = -42*m - 80640. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*-3*sqrt(336)*-1)\/(4*3*sqrt(192)*1).\nAnswer: -1 + 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14))**(37\/3)\/(p*p**(-29)*p*p**(1\/44)))**(-45\/7) assuming p is positive.\nAnswer: p**(288465\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8*m = -990. What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6 = 2*o, o - 3 = -237*r + 232*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4453*a**4 - 10*a**3 - 74*a**2 - 24790*a - 74?\nAnswer: -53436*a**2 - 60*a - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/25)*p**(30\/13)\/p*(p\/((p*p**21)\/p))\/p**(1\/24))**(-25) assuming p is positive.\nAnswer: p**(147997\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 1\/3 + -1 - (-210)\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 6*k)*(10 - 5*k - 7 - 4) - 42*k**2 - 8*k**2 - 47*k**2.\nAnswer: -92*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9160851 and 84.\nAnswer: 36643404","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 1\/6*r**3 - 1\/10*r**5 + 0*r**4 + 1\/120*r**6 + 13*r - 1\/2*r**2 + 0. Let v(y) be the first derivative of z(y). Give v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/274*-13*(-56)\/(-40)*210\/1911?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -75*a + 149. Let f(v) = -2*v. Let u(z) = 5*f(z) - q(z). What are the prime factors of u(12)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4353*p**2 + 8700*p - 12.\nAnswer: 3*(p + 2)*(1451*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*1*sqrt(130) - sqrt(130))\/sqrt(10) + -5.\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - z + 219 = 3*n, 0 = -2*n + 4*z - 102. Let v = -34 - n. Let o(f) = f**3 - f**2 - 11*f + 8. Is o(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1186 or -2\/25?\nAnswer: -1186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76649130.\nAnswer: 2, 3, 5, 53, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {k: 1, v: 5, i: 1, t: 4, w: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3583306 and 1180?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7366252 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10382)\/174 - -59) + (-7)\/(-3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 = -3*y + 14, j - 13 = -5*y. Let o be j\/((-36)\/22) - 1. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 833800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7 + 5*t - 4*t + 2. Let x be -10 - ((-2)\/(-4))\/((-7)\/42). Let k be q(x). Solve k*c - 2 = -10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*x + 4*i, -3*x - 5*i - 16 + 59 = 0. Let m = -14 + 5. Let v = m - -13. Calculate the remainder when x is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25702*g**6 - 2*g**4 + 12*g**2 + 14*g + 22 wrt g.\nAnswer: 3084240*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zflibbyzzblzlb. What is prob of sequence zfi?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l + 9. Let u be d(-3). Let t be (-4)\/((-12 - u) + 5). What is the nearest to -3\/2 in -6, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92.99 - 94.99. Which is the closest to x? (a) -2\/7 (b) -1007 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4905094914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 8.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from wwwwwwwmllwwwlwww.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -44.3. Sort -0.3, b, -0.2, 0.\nAnswer: b, -0.3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 10, i: 1, n: 3, g: 1}. What is prob of picking 1 g, 1 i, and 2 n?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most 499.94592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4 + 7*u**3 - 5*u**2 - 31*u + 30 = 0.\nAnswer: -2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*n + 17*n + 50*n - 185 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Let y = 12540 - 12488. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4786 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063753315 a multiple of 14599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 16 = 0. Differentiate 9 - 12 - 9 + b*o with respect to o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2256\/(-192))\/((-2)\/104).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {r: 7, q: 1, p: 10}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a646b1 + -6?\nAnswer: 1a646a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 94*i**2 + 15*i - 29. Let s(g) = 94*g**2 + 16*g - 29. Let m(a) = 4*n(a) - 3*s(a). Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -699 <= -701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 2*s + 1. Let a(q) = 81*q**3 + 10*q + 63. Let g(x) = a(x) - 5*k(x). Find the first derivative of g(y) wrt y.\nAnswer: 258*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -b, 0*b = -4*g + 3*b - 4. Suppose 2*k - 5920009 = -g*p - k, 0 = -3*p + 2*k + 8879994. Round p to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198999 - -42?\nAnswer: 199041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + r - 3*r + 94*r - 98*r + 2*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/7 or -1217343?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 2 + 25)*(-4*r - r + r) + (1 - 1 + 2*r)*(18 - 36 + 20) as v + j*r and give j.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 1. Let h be t(-1). Suppose 2*c = h + 1. Let a(j) = -1 + 4*j - c*j - 2*j. What is a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.68705661 rounded to four decimal places?\nAnswer: 45.6871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*m + 2 = -2*p + 467*m, -2*m - 19 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*d - 2542 - 342 - 588 = 0. Solve 8*v + 3*j + d = 3*v, -5*v = -5*j + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 18*x**2 - 3*x - 43. What is the remainder when c(-18) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:48 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from cczzcuzcfuzzzzczzzz?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-116)\/(-203))\/((-2)\/(-7)). Let w(m) = -6*m**x - 1 + m - 12*m**2 + 5*m - 8*m. What is w(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(33\/(-246)) - -4. Sort 0, 5, -1\/2, y.\nAnswer: -1\/2, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8692.029 minutes to microseconds.\nAnswer: 521521740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 25*j**2 - 19*j - 23. Let x be w(28). Suppose -1623 - x = -6*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-14)*10\/(-8). Let p be i*(-5)\/125*2. Let m = -3 - -1. What is the smallest value in p, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**4 - 4*w**2 - 3*w - 3. Let v(t) = -11*t**4 - 5*t**2 - 2*t - 2. Let g(u) = 2*l(u) - 3*v(u). Find the third derivative of g(k) wrt k.\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-107 + 1 - (1527 + -1538))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10))\/(3\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2031687\/31 or -65538?\nAnswer: -65538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 54*z = 52*z + 71435, 4*g - 2*z - 57130 = 0. What are the prime factors of g?\nAnswer: 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 48*s - 35. Give k(-46).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 = -99*a + 1389. Calculate the highest common divisor of a and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 23*m**2 + 14*m - 26. Let j be 4\/14 - (-2050)\/175. Calculate d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 3. Let s = 0 + 4. Suppose -s*p + 9 = 41. Let l be t(p). Sort -4, l, 0 in descending order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 229*i**3 + 3*i + 1 - 40*i**2 + 42*i**2 as o*i**3 + h*i + a*i**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25020.24 nanometers?\nAnswer: 0.02502024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7297500 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66*((-1)\/1)\/2. What is the common denominator of (-814)\/t*(-6)\/88 and 95\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l)*(0*l**3 + 2*l**3 + 0*l**3) + 20*l + 5*l**4 - 20*l.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12557 divided by 25?\nAnswer: 12557\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193686164569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1061 - -33432?\nAnswer: 34503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 - -430. What is the highest common factor of j and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2747, -1452, 679, 3658, 7497?\nAnswer: 12208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19772, -19851, -19930?\nAnswer: -20009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 22, 71, 140, 229, 338?\n\"Answer: 10*p**2 - p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30822708 and 12?\nAnswer: 30822708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y - 8. Let w be b(-3). Solve 2 + 16 = -w*a - 2*s, 15 = -5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330522587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1207 and 85.\nAnswer: 6035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -191, 41, 5, -4479 in descending order.\nAnswer: 41, 5, 2, -191, -4479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*t - 2*i, 4*t + 4*i + 2 = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13082 is divided by 212?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y**3 - 1. Let j be l(-1). Let a = j + -9. Let s(u) = u**3 + 3*u**2 - 3*u + 1. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14160 by 3540.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 11*c**2 - 508*c + 52. Give p(-18).\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/60)\/8*30\/(-36) - (-20)\/15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Let w = -2 + v. Let q = -31 - -34. What is the closest to q in -0.5, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 17. Let i = y - 3. Let l = i - -15. Solve 0*c + 2*c + l = 4*p, -c - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 123?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 97*f + 223. Let u(t) = 9*t**2. Determine c(u(j)).\nAnswer: 873*j**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5698 and 6919?\nAnswer: 96866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:27 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78\/7 - -11. What is the fourth biggest value in 0, k, -0.3, 0.031?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 24215331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599529.232 rounded to the nearest 100?\nAnswer: 1599500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:06 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 632*l + 3. Let x(k) = -19*k**2 - 3. Calculate x(y(c)).\nAnswer: -7589056*c**2 - 72048*c - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + 7*y - 12*y)*(3*y - 4*y + 4*y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -18. Let b be (1\/(-2))\/(y\/(-2004)). Suppose -4*t - 4*g = -124, 45 = -4*t - 5*g + b. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 463*n**2 - 246*n - 17. What is z(3)?\nAnswer: 3412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 240*k + 5. Let b be t(0). What is the closest to -2 in b, 0.18, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -17*b**3 + 21*b**2 - 23*b + 26. Let c(h) = 3*h**3 - 4*h**2 + 5*h - 5. Let j(u) = 2*a(u) + 11*c(u). Calculate j(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q - 4. Let l be q\/(-5)*-33 + (-4)\/(-10). Let b = -1 + l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-168)\/588 + 2\/7. Let d = 1 - -10. Suppose 3*h - d*h + 3832 = a. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.9 - -15. Let f = k + 2.7. Let m = f - 0.8. What is the smallest value in 0.3, m, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, -3, -135 in decreasing order.\nAnswer: 0, -2, -3, -5, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/11)*i*i**(-11)*i**(3\/7)\/(((i**(-3\/2)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-795\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1068730 and -111\/50.\nAnswer: 5343650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 19.2. What is the biggest value in 1\/7, 5, z, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-76)\/(-8) + -9)*(638 - -2). Let w = -161 + g. What are the prime factors of w?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - n**2 - 48427*n - 4*n**2 + 48427*n in the form c*n**2 + y + u*n and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/21 + 2\/2. Let d be (-30)\/5*1\/(-15). Let k(b) = -b**3 - 2*b**2 + 5*b + 3. Let p be k(-3). What is the biggest value in d, p, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 1 + 8 = 0. What is the nearest to 1 in -2, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1200*-4*(-100)\/(-24). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n + d - 6, -d - 6 = 2*n. Let o be n + -3 + 114 + -1. Suppose 88*k = 92*k - o. What is k rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:25 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3923*q**2 - 326 + 26024*q**2 + 326.\nAnswer: 22101*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.81723 meters to millimeters.\nAnswer: 39817.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -404*a + 402*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(-25 + 25 + h)*(3 - 2 + 1) to the form d*h + c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 413738 (base 9) to base 13\nAnswer: 879c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2577*u**3 - 1064*u**2 + 1064*u**2 - 5174*u**3 + 2587*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 224, -3.\nAnswer: -3, -2, 5, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v - 15. Solve 0 = -t + 4*h - 15, -v*t + 2*h = -h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65*1)\/(((-6)\/1)\/(-81*162\/(-2187))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13033172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**2 + 2*c**3 - 3 - 1\/4*c**4 + 4*c. Is 10 a factor of k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 2*p**2 - p + 1. Let k be v(-2). Let o(l) be the first derivative of l**2\/2 - 3*l - 269. What is o(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3*60\/9. Let a = -16 + v. Suppose a*f = 6*f - 663. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*u - 36, 2*n = -4 - 0. Let h = -10 + u. Suppose 3*l = -5*j + 17, l + 5*j - 4 = h. Is l <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/45 (b) 0 (c) 0.08 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -751596.175 to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/23)*k))\/((k**(-3\/2)*k)\/k*k)*k**(3\/8)*k**(1\/3) assuming k is positive.\nAnswer: k**(163\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 63 + 2067*i**2 + 129)*(5 - 1 - 5) to w*i**2 + s + q*i and give w.\nAnswer: -2067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 2.\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -11*j**5\/60 - j**2 + 57*j. Let k(b) = -98*b**2. Give -4*k(p) + 35*t(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -1\/2*a**3 + 2 - 1\/4*a**4 + a - 3\/2*a**2 + 1\/20*a**5. Let y(x) be the first derivative of r(x). Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/56672 (c) 0.184 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 9.9. Suppose 64 = -8*y - 8*y. Let j = 6 + -5.6. What is the nearest to a in -3, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 2529 - 6*b**2 - 2529.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.37. Let r = -0.87 - k. Round r to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391*j + 1429*j - 1621*j + 287*j.\nAnswer: 1486*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 256135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/242*-11)\/((-1)\/(-1920)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -120*l + 11756. Calculate d(82).\nAnswer: 1916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071742 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 780\/(-30) + 86\/(-2) + 13\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 190\/(-1235) + (-45)\/(-39) + 3. Let b = -7 + 29. Find the third derivative of b*o**2 - 5*o**m - o**2 - 13*o**2 + o**4 wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113700.346 rounded to the nearest 100?\nAnswer: 113700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 190267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 1, h: 1, l: 1, z: 1}. What is prob of picking 1 z, 1 h, and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -6492.1.\nAnswer: 1298.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 + m + 2. Let c be j(2). Is (-121)\/c*20\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122679)\/2322 + 51 + (1 - (-1309)\/1578).\nAnswer: -1\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001000 (base 2) to base 8.\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2085 and 4170?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 254604*-0.03\nAnswer: -7638.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/22*-12*(-2)\/9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5. Let u be (2 - (0 - 0)) + g. Sort u, -1, 3.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 2*d**2 + 179*d**4 - 22084*d**3 + 22084*d**3 + (0*d**3 - 2*d**3 + 0*d**3)*(0*d - 2*d + 0*d).\nAnswer: 183*d**4 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*(0 + (-4)\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-18))\/((-3)\/(-18)*2). Let a be (-4)\/(0 + s) + (-2292)\/(-52). Let z = a + -48. Calculate the common denominator of -76\/9 and z.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 64. Suppose 0 = -4*f - 5*x + 89, -28*x + 32*x = 5*f - 60. Let t = f + v. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376900 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6186 minus -0.543?\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/9)*m**6\/m*((m**(-1)\/m)\/m)**(6\/19)*m**(1\/2)*m**(-2\/15)*m*(m\/m**0)**(-5) assuming m is positive.\nAnswer: m**(907\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18940 divided by 10.\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6759642, -13519284, -20278926, -27038568, -33798210, -40557852?\n\"Answer: -6759642*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 240 - 239. What is the nearest to b in -23, -2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86 - -5*12\/30. Let r = 91 - i. Solve r*d - 15 = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 4*v + 6*v)*(5*v - 11*v + 2*v) + 2*v**2 + 1 - 1.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) 2 (b) -0.2 (c) -300 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5190916 rounded to 1 dp?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + r**2\/2 + r + 12. Let b(x) = -x**3 + 11*x**2 + 11*x + 11. What is -2*b(u) + 22*m(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-38)*(-3*(-1)\/(-6) + 2). What is the third biggest value in -276, -1\/4, 0.3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:28 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 141?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2704, 2695, 2686?\nAnswer: 2677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(192)*-2.\nAnswer: -16*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6373701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 0, -z - 4 = -2*d - 0*z. What is the remainder when 8 is divided by 6 - 1 - 0\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/9*90\/(-78975)*-27?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 53 + 10 + 16 + 2*l**2 + 12 + 14 in the form q*l**2 + v*l + f + h*l**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2725158.43 rounded to the nearest 100?\nAnswer: -2725200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211\/2 + 106. Let b = -0.181 - -15.581. Let m = b - -4.6. Is m at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.776625 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/3, 30\/13, -1\/5, 2, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 411158544?\nAnswer: 411158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 4*l + 3. Let y be t(2). Suppose -20*u + y*u + 90 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 4. Let y be v(-3). Let z be 1\/(-1) + (-1)\/y. Let u = 5 + z. Solve l = 3*d + 7, l + d - 4 = -u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j - 8. Suppose -3*b + f = b - 14, 0 = -j*b - 2*f + 20. Suppose -b*q - 2*q + 3786 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*p = -28, -4*p + 20 = 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*7.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.93. Let j = u + -2.43. Let s = j - 0.5. Which is the third smallest value? (a) -2 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 14. Suppose -2*b = c*u - 0 + 7, -12 = 4*u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5697455572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 4. What is the remainder when 4 is divided by (3 + -7)\/(d + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 770 + 1150 = 4*h, -2*h + 962 = 4*m. Let s = h - 448. Suppose -3*v + 0 = -24. What is the lowest common multiple of s and v?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26*s - 11. Let j(a) = 9*a - 4. Let v(u) = u**2 - 9*u + 17. Let c be v(7). Suppose c*q + 13 - 25 = 0. What is q*t(y) - 11*j(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 12*u - 11. Let v(x) = -x**2 - 6*x - 5. Let m(f) = 6*i(f) - 13*v(f). Let k = -4 - -8. Suppose -4*l - l = 5*p, k*l = -p - 15. What is m(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrcc when four letters picked without replacement from rhhchhhrrhwchwh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-27)\/15) + (-2)\/(-9). What is the biggest value in z, -0.5, -21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3254 + -5.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1686 - -1168?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 8*q + 6. Let b(d) = -d - d**2 + 0*d - 2*d - 2. Let t = 309 + -317. Give t*b(k) - 3*a(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -62 - 66. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose g = -2*l - 3*g + 6, 0 = -v*l - 3*g + 22. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 177*i - 1176. Let h be p(6). Let v be 89\/3 + (-1)\/(-3). Calculate the highest common factor of v and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -271*t + 264. Determine g(2).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1.168?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:59 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Let t = -4.6 + 0.8. Let g = q + t. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/12969979 or 0?\nAnswer: -8\/12969979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 86405001?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 63529818.\nAnswer: -63529816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 74 = 2*q - 2*d, -21*d + 2 + 27 = -18*d + 14 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 4*i - 133. What is the lowest common multiple of 8 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4038968 is divided by 11096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885 - 3675 = -279*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -458823 equal to -458820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17258559787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -z + 44, 3*p = 360*z - 362*z - 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:23 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*t + 98*t = 98*t + 2335 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*d + 20411 = -31*d + 1541 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 23*n - 40. Let k be g(21). Let j(h) = -38*h - 8. Let c be j(k). Is c equal to -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76097675 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = -5*x. Let f = x - -7. Suppose -5*d + 70 + 55 = 0. Solve 5*c + d = 0, -f*z + c = 5*c + 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-56) - ((-12060)\/(-14))\/(-3) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 346030820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.042?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -v - 0*v - 4, -6*f + 5*v - 14 = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/9 (b) 1 (c) 0.3 (d) 1\/4 (e) -2\/13 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = -j, -4 = -4*j - 3*l + 7. Sort -5, j, -18, 4 in decreasing order.\nAnswer: j, 4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.0848.\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + c**2 - c**2)*(11*c + 8*c - 18*c + (0*c + 0*c + c)*(2 - 2 - 2)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -1.5. What is the closest to -0.1 in 4\/7, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = x + 2*x. Calculate the smallest common multiple of (2\/(-3))\/((-14)\/1218) and x.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*a = -h + 4, -4*h = -3*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 63*c**2 + 76*c - 318. Let a be f(-62). Which is greater: -1187 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133320 (base 4) in base 14?\nAnswer: -a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = 2*r + 12, q + 5 = 0. Let m = -21\/74 + 1255\/1554. Let s = -13\/21 + m. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7453 + -0.0847. Put -2\/7, k, -0.2 in increasing order.\nAnswer: k, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - h**2 + (-h + 3*h + h)*(3*h - 2*h + h) + 1611 + 7*h**2 - 1611 + (-h + 1 - 1)*(-3*h + 2*h + 3*h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -55, -3\/11 in descending order.\nAnswer: 7, -3\/11, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + 8. What are the prime factors of x\/18 + (-6)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 1\/120*d**5 - 2*d**2 + 0*d + 1\/24*d**4 + 1\/12*d**3. What is f in i(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -214. Suppose 17*v - m = 24*v. Which is the third smallest value? (a) 2 (b) v (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963192 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: Rearrange -2*k**3 - 6474 + 1239708*k - 1239708*k to the form q*k**3 + r*k**2 + n + d*k and give n.\nAnswer: -6474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:43 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(3\/4))\/t*t)\/t)**(-28) assuming t is positive.\nAnswer: t**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -0.3 in increasing order.\nAnswer: -16, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-12)*(-3 + -1). Let n = 15 + l. Suppose 2*i = -3*i - 10, 0 = 2*u - 3*i - n. Solve 2*s - 5*q = -s - 7, u*s = 4*q - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3, -30.1, 0.034?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27196158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1136, -9, 3 in decreasing order.\nAnswer: 1136, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -48*g + 84, -664*g - 1 = -666*g + t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 28*k**2 + 52*k + 15. Let z be j(-26). What is the remainder when 1 + (-264)\/(-10) + (-6)\/z is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 3*p - 3, 3 = h. Let k be (p - -1)\/(19\/(-5) + 4). What is the second biggest value in k, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 388*v\/3 + 2765\/3.\nAnswer: -(v - 395)*(v + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. Let n be -10*(j\/(-15) + 0). Let g(v) = v**2 - v - 1. Let c(x) = -x**3 + 9*x**2 - 2*x - 11. Let m(z) = c(z) - 6*g(z). Determine m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 8*p - 14. Let c be s(16). Let f = c + -1123\/3. Let q = -13 - -8. Is q bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 875 = b, d - 1078 - 1533 = -3*b. Is 3\/(42\/4) + b\/42 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 27 - 23 = 0. Suppose 0*g + 5*y = 2*g, 3*y = -4*g + 26. Suppose 2*n - g = s. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/3 - 3*p**2 + 20*p\/3 = 0. What is p?\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 2910*u**2 + 2910*u**2 + u**4 - 3 + 43*u to the form r*u**2 + h*u**4 + m*u**3 + s + w*u and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22.1, -3\/7, 3, 30, -37.\nAnswer: -37, -22.1, -5, -3\/7, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 49. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625233 and 1596.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168869*o**5 - 115*o + 1657.\nAnswer: -3377380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 4*u**2 - 8*u - 12. Let i be (3 - (0 + -2))*-1*1. Let g be r(i). Differentiate -107 + 126 + 7*s**3 + s**g + 3*s**3 with respect to s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2277 and 161.\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10096 and 1326362.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**4 - o**3 - 4*o + 28. Let h(n) = -15*n**4 - 5*n + 29. Let f(k) = -3*h(k) + 4*u(k). Find the second derivative of f(v) wrt v.\nAnswer: -132*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254863400 and 4588?\nAnswer: 4588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (39 + (-36 - -8) - -8) + 10\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 815296.6 minutes in microseconds?\nAnswer: 48917796000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-1680) + (-13)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45474*q + 210 = -45495*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -3. Let q = 0.1908 + 3.8092. Which is the nearest to -2\/3? (a) p (b) q (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 31 = 12. Which is greater: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 - t - 2. Let m be n(2). Let p = -2 + m. Suppose 0*b**2 - b**2 + 0*b**p + 1 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 - 0.37. Let s = -0.1959 - 7.8041. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21306850 and 4780?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*k**4\/7 + 747*k**3\/7 - 2532*k**2\/7 - 7740*k\/7 + 1248\/7 = 0. What is k?\nAnswer: -2, 2\/13, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 497834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.3129 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320171?\nAnswer: 353, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(17\/((-153)\/(-18))). Put m, -3\/5, -2\/11 in decreasing order.\nAnswer: m, -2\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, p: 7, x: 1}. Give prob of sequence xo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 4631524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n - 34*n = -1584. What is the greatest common divisor of 140 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + (-192)\/30. Let t be j\/(-4) + 24\/(-14). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 5. Suppose 5*d = -4*i + 1 + 3, 0 = i - 5*d - 1. Let z(n) = 2*n + 3 + 3 + i - 1. What is 5*k(b) - 4*z(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**2. Let p = -5 + 10. Let o = p + -1. Suppose 6 = 2*h + o. Calculate c(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/229950 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1100 >= -1100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2. Let y(c) = 0*c - 4*c + 3*c. Give m(y(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 201, 219, 235, 249, 261?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.6, 3\/7, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -1 + 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3024012131 - 2003?\nAnswer: 3024010123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f - 3. Let b be u(5). Factor -x**2 + 2*x - 4*x + x**2 - x**b.\nAnswer: -x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5788 to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110010?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 + c + 1. Let a(q) be the third derivative of q**6\/15 - q**5\/15 + 5*q**4\/24 + q**3 - 6*q**2. Give a(x) - 6*r(x).\nAnswer: 2*x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c74 + 0?\nAnswer: -c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Suppose -27 - 25 = -v*w. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4455, -8909, -13363?\nAnswer: -17817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-371)\/(-424)*-8 - 56\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*q + 26, -2*q + 3*i + 51 = q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 9576.\nAnswer: 411768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let m(l) = 20147*l**2 - 2*l - 74. Determine m(t(w)).\nAnswer: 80588*w**2 + 4*w - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15770 = -f - 93*t + 94*t, 4*t - 110434 = -7*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:59 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. Let r = -9373 - -9345. Sort r, z, -3 in decreasing order.\nAnswer: -3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 25147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeebeb. What is prob of sequence ebb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsggrzz. Give prob of picking 1 n and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 29*n - 9. Let p be s(15). Solve -p*l = -5*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005806 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*q**3 - 3*q**3 - 9*q**3.\nAnswer: -41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010112000102 + -11?\nAnswer: -1010112000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816718 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6134 * -0.12.\nAnswer: 736.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 + 0.12. Let k = 8.2 + -0.2. Let f = -13 + k. Which is the biggest value? (a) 1\/2 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13538 + 14429. Calculate the highest common factor of k and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + o**3 + o**3)*(-2 - 1 + 1) + 2 - 2 + 2*o**3 - 5*o**3 + o**3 + o**3 - 4 - 3*o**3 + o + 4.\nAnswer: -8*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(288\/(-56))*30\/(-42)*(-78)\/30?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -39*r + 3. Let n be z(0). Let j(t) = -2*t - 4*t**3 + 5*t**2 - 3 + 3*t**3 + 0*t. Determine j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001206 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 32*u + 207. Let f be v(-23). Solve f = -19*i + 23*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/(n**8\/n)*n*n)*n)))\/(n\/(n\/((n\/(n\/n**(-2)))\/n*n)))*(n\/(n\/(n\/((n\/(n**0\/n*n))\/n))))\/(n\/(n*n*n**0)*n) assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6586335 divided by 203\nAnswer: 32445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1349 = 11*q + 4*o - 1405, 2*o = 3*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.51 + 0.51. Let w = n + 17. What is the nearest to -0.1 in -0.4, -4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(-10*9\/(-162))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 - 265. Is d less than 38\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 120*j**2 - 4*j - 5. Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 300 = -16*j. Suppose 5*s - 16 - 22 = 2*n, 3*n - 27 = -3*s. Let g be (4 + -14)*(j\/s + -2). Solve -3*p = k + 10, p = g*p - k + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972*b - 331287 = -21106*b + 331053 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 9\/2, 23693, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -32, -52, -76, -104?\n\"Answer: -2*t**2 - 10*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115046683 by -3.\nAnswer: 115046683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q**(-1)\/q)\/(q**(-1\/6)\/q**(-2\/5)) assuming q is positive.\nAnswer: q**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - 36\/(-14) - 1240\/3689.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 - t**2\/2 + 1. Let q = -16 - -7. Let k = q - -8. Determine j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 23 - 15 = 0. Solve 3*t + 5 = -a*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (13135\/74)\/(5\/132)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1*(-4)\/(-6). Let b(v) = 3*v - 94. Let o be b(0). Let t = o + 92. Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 - 7 + 3 + 4.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10364 times -330?\nAnswer: 3420120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126770238?\nAnswer: 2, 3, 7, 151, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -26800000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17\/36 + 1\/(-4) - (-72698395)\/3465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10067*s**2 - 27*s + 1. Let g(c) = -774*c**2 - 2*c. What is -27*g(u) + 2*h(u)?\nAnswer: 764*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 396517.242005.\nAnswer: -396516.842005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5*c**2 + 5)*(-4*c + 3*c + 2*c)*(-1 - c + 1) in the form b*c**3 + j*c**4 + m*c + r*c**2 + k and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z - 1. What is the remainder when a(-5) is divided by -16 + ((-150)\/10 - -48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11\/225, 0.076, 1\/2, 4\/3, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40517021 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.6 (b) -0.11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17228895 greater than 17228895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31047)\/(-917) + -1 + (-24)\/(-21) - -3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:20 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 187\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3172187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - -8. Let y = h + -1.4. Let k = y - 7.993. Round k to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39183 is divided by 214?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*c - 8 = 0, 5*o - 4*c = -0*o - 10. Let m be o\/6 - 64\/(-12). Suppose 0 = -r - 2*b + 7, -m*r + b = -15 - 42. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 0*p + 0*p**4 - 47\/3*p**3 - 19\/15*p**5 + 109*p**2. Differentiate b(t) wrt t.\nAnswer: -152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000306611 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55873341438 and 0.3.\nAnswer: 55873341438.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102221102111 + 11?\nAnswer: -12102221102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 789, -2\/17, -2.\nAnswer: -2, -2\/17, 46, 789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgzffzggzzzg. Give prob of picking 2 g, 1 f, and 1 z.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -133 in descending order.\nAnswer: 9, 4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - 2 - (-14 + 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 4*b + 5*l, 3*b - 3*l = -0*l + 447. Let j = -243 + b. Let r = -58 - j. What is the remainder when 128 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31711 (base 8) to base 3\nAnswer: -200012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1980*p*x**3 + 672*p + 942*x**4 + 6*x + 84 with respect to x.\nAnswer: -5940*p*x**2 + 3768*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500826, 500827, 500828, 500829?\nAnswer: 500830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:53 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3355 + 5039 = 6*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y - 367*y = -694*y - 816 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106722203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = -0*w - 5*w, -3*x = -4*w + 29. Suppose 2*m + 37 = -w*o, -3*m + 31 = -4*o - 6*m. Let v = o + 2. Sort v, 0, -1 in ascending order.\nAnswer: v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328.80518 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.378 - -0.3414. Let q = 23.18 - 23.147. Let f = q + z. Round f to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17 - 2*n**2 - 131*n**4 + 4*n**2 + 172*n**4 wrt n?\nAnswer: 984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 smaller than 5027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.4 + 37. Let a = z + 0.4. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 120*a + 5. Let j(h) = 95*h + 4. Let m(p) = -5*j(p) + 4*l(p). Let z(g) = -50*g**2 + 2*g. Determine z(m(t)).\nAnswer: -1250*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 120*d**2 + d - 1. Suppose s - 3*s - 5*o + 2 = 0, -s + 2*o = -1. Let p be q(s). What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 202 = 5*b, 9*b - 6*b + 4*x - 112 = 0. Solve 3*w = 2*m - m + 20, 5*w - b = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25407 + 25407 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - 3)\/12*(1 - 140) and 53\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 81420?\nAnswer: -3\/27140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3057\/323 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/76 + 1\/19. Let r be (-2)\/10 + (-16)\/(-20)*-1. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) 0.3 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1018640097 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 - 38116?\nAnswer: -38115.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 424020320?\nAnswer: 424020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421645 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284127785 is divided by 3933.\nAnswer: 3932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 18 + 9*g**4 + 14 + (g - 2*g**2 - g)*(2*g - 2*g - 2*g)*(-1 + 2*g + 1) to the form p*g**2 + b + n*g**4 + k*g + m*g**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:13 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662\/1295*5\/(90\/(-8))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56523.19 rounded to the nearest one hundred?\nAnswer: 56500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 13)*4\/16*-334. Let u = -492 - h. Suppose 0 = 5*w - 5*l - u, -3*l + 0*l - 100 = -w. What are the prime factors of w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/195?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*456\/(-418))\/(3\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.573, 5, 3 in ascending order.\nAnswer: 0.2, 1.573, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:46 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/52471 and 11\/411?\nAnswer: 157413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 32710\/1173?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0a (base 13) to base 10.\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 4*j**4 + 0*j**4)*(5 + 10 + 1).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*m - 15, 7*m + 20 = 3*m. Let s = w + 2. Let k be s\/(16\/36*6). Sort k, 2, 3 in descending order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7357 = -42*a + 5663. What are the prime factors of a?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5212045 (base 7) to base 16\nAnswer: 98953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 38460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014791513 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:25 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -204 + 58 + 8*f + 56 + 89. Suppose 0 = y + 1 + 1. Let u be (y + 1)\/2*-2. Give v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9)*h*(h\/(h\/h**8))\/h)\/(h\/((h**(-2\/17)\/h)\/h))**(-21) assuming h is positive.\nAnswer: h**(1113\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 - 2*w**4 + 2968*w**2 + 128*w - 94 wrt w.\nAnswer: 20*w**3 - 24*w**2 + 5936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*y + 17 = 0, 3*x - 5*y = 4*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 5. Let x be (-2)\/(-8) - (3 + (-46)\/8). Solve f*o - 2*o = x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(20) - sqrt(2420)) + sqrt(20)) - -1*sqrt(500))\/((sqrt(360) + (sqrt(360) - -3*sqrt(360))*-3)*-2).\nAnswer: -13*sqrt(2)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 27*j - 65 + 104 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-18)*3)\/(2\/12). Let c be ((-4)\/6 - (-25)\/15)*w. Suppose -468 = -5*p + c*b, -272 = -3*p + 4*b - 0*b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) -0.09 (c) -0.5 (d) 4\/11 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*m + 120*m + 92*m**2 in the form h*m**2 + a + q*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from kkeokoekkkk.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3*i**2\/2 - 2. Let a be k(-5). List the prime factors of (a\/4)\/(9\/96).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11475 and 8109?\nAnswer: 608175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -2.6.\nAnswer: 0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -139. Let t = b - -225. Does 55 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((280\/(-15))\/7)\/((-4)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2615 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - i - 561 = -671, -2*i = -2*k + 200. Let w = -130 - -325. What is the smallest common multiple of k and w?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 149.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1377\/(-6732)*(-32)\/(-12)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5 + (-4 + 2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58312.4 + 58312.3999698187. Round l to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - q + q)*(2 + q - 2) + 0*q**5 - 3*q**5 + 0*q**5 + (2*q + 0*q - 3*q)*(3*q**3 - 3*q**3 + 2*q**4) - 3 - 2*q**5 + 3.\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 8*k + 0*k**2 + k**2 + 49 - 2*k**3 as m*k + f + q*k**2 + o*k**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in 9516.9, 1, -0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -396031\/114780 - -2\/5739. What is the common denominator of w and 200\/(-60)*33\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 + 3*a + 2. Let w(c) = -2. What is -j(f) - w(f)?\nAnswer: 7*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170467371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 95886.\nAnswer: -95885.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -1694537420?\nAnswer: 1694537396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 774573, 774576, 774593, 774624, 774669, 774728, 774801?\n\"Answer: 7*s**2 - 18*s + 774584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*b, 4*b + 212*r = 215*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 556*f + 92710. What is u(-167)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-15) - 90\/200)*44\/3. Is 15 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0 + (6 - 3). Let z(x) = x + 3. Let k(s) = 3. Let l(f) = -3*k(f) + 2*z(f). Let o be l(4). Solve -h - o = -g*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -664836317*j**3 + 20*j - 1406634.\nAnswer: -3989017902*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1000912390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25205500 to the nearest one hundred thousand.\nAnswer: 25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 186\/248*(-672)\/48\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 937235 from -0.0798321.\nAnswer: -937235.0798321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 40 = -69*i + 111. Let t be (-1)\/(-1 - (-2)\/4). Find w, given that 0 - 2\/3*w + i*w**t + 8\/3*w**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 18*u**2 - 86*u + 4. Calculate m(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11140)\/(-8912))\/((-130)\/8).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -29. Let z(f) = 3*f**2 + f + 6. Let a(o) = 2 - 4 + o**2 + 4. What is k*z(w) - 7*a(w)?\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/657, 9, 30, -1?\nAnswer: 1\/657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13532*d + 6763*d + 219*d**2 + 6767*d)*(0*d + 3 - 9 + 2*d).\nAnswer: 438*d**3 - 1318*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*r + 186*r - 24*r**3 + 193*r + 0*r**3.\nAnswer: -24*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11))*5 - (sqrt(44)\/sqrt(16) - sqrt(11))**2.\nAnswer: -111\/4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 54 = 24. Let l(o) = 9*o - 1. Let b(c) = -1 + 1221*c - 2431*c + 1218*c. Calculate v*b(z) - 5*l(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197249*r**4 + 17*r**3 + 21856167.\nAnswer: -788996*r**3 + 51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788 and 6895.\nAnswer: 27580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g, -5*f = 4*g - 545. Suppose 117*q - 172488 = f*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t + 6. Let m be f(-5). Calculate the highest common divisor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1140 + -1138. Let n(q) = q**3 - 7*q**2 + 11*q - 3. Let s be n(5). Solve -2*x + 10 = i, -3*i + 2 = v*i - s*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 35. What is the second smallest value in 0.4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(792) + (sqrt(792) - 2*sqrt(792)))\/((sqrt(80)\/sqrt(4))\/sqrt(10)) + 4) + 2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + -171.96. Let y = -0.04 + i. Which is the closest to 1? (a) y (b) -1\/6 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303 and 548733?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 50. Let w(y) = y**3 - y**2 + 2*y - 4. List the prime factors of w(j).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -53*o**5\/20 - o**4\/12 - 641*o**3\/3 - 1552*o. What is the second derivative of i(x) wrt x?\nAnswer: -318*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 30*n**2 + 29*n + 20. Let r be q(29). Let i be (-3223)\/396 - r\/(-16). Which is smaller: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 (base 6) to base 15\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211754 and 14176.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 199500.21659 rounded to 0 decimal places?\nAnswer: 199500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38502, -38505, -38508?\n\"Answer: -3*a - 38499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-16)*((-3)\/(-2))\/(-3)*1706\/1706.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + 3*y**3 + 2*y - 1311*y**2 + 1 + 1323*y**2 as o*y + v*y**3 + x*y**2 + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168730757 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*l - 206 - 200 - 198 + 819 - 209 in the form y + w*l and give w.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 395, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -125*w**4\/4 - 75*w - 7. Differentiate b(c) wrt c.\nAnswer: -375*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/35 - 4\/(-14). Let r(j) = -11*j + 19*j - 14*j. Calculate r(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 108?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 34*o + 730 = 0. Does 61 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3262, 1 in decreasing order.\nAnswer: 1, -2, -5, -3262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -183, -407, -721, -1125, -1619?\nAnswer: -2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, m: 2}. Give prob of sequence mmf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:44 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 12. Let l be w(4). Suppose l = 8*p - 5*p + 9. Let h(n) = -7*n - 2. Determine h(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.677214ml in litres?\nAnswer: 0.001677214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 217569181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 divided by 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -17*o + 478. Let v be m(28). Solve 3*x + v - 7 = k, -2*x + 26 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795*r = 829*r - 6868. Calculate the greatest common factor of 34 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**3 + 17*g**3 - 25*g + 133*g + 2*g**2 - 105*g.\nAnswer: -26*g**3 + 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 18*t + 23. Let d be r(-10). Suppose d*l = l + 534. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18588549, -18588554, -18588559, -18588564, -18588569?\n\"Answer: -5*u - 18588544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {m: 3, l: 7, w: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*s - 134*s - 52 - 25 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/5 + 83*a**3\/5 - 1667*a**2\/5 + 2773*a\/5 + 4524\/5 = 0. Calculate a.\nAnswer: -1, 3, 29, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -5, -2, -62, -5\/994.\nAnswer: -62, -5, -2, -0.04, -5\/994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182 (base 12) to base 7.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 11*c + 4. Let u = 17 - 3. Calculate the least common multiple of h(-3) and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12040417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 12. What is w(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 50 + 3 + (3 - (-2 - -27))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091219523 to 7 decimal places.\nAnswer: 0.0000912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/9 - 146\/33 and -1\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (462 - 462 - 16*z)*(-2*z + z**2 + 2*z) in the form k*z**3 + w*z + r + x*z**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2518.645 millilitres?\nAnswer: 2.518645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -1524, -3426, -6096, -9540, -13764?\nAnswer: -18774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22126\/3 - -7357. Find the common denominator of -8\/281 and l.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + -104. Let x = 226 + i. Put x, -3, 1 in descending order.\nAnswer: x, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16275 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*5\/(-1 - 0). Suppose 0*g - 5*l - 55 = -f*g, -2 = -g - 2*l. Let h(p) = -p**2 + 13*p - 8. List the prime factors of h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**2 + 145*p + 50.\nAnswer: -5*(p - 10)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 0*a + 1\/6*a**6 - 1\/2*a**2 + 0*a**3 - 2\/5*a**5 + 148 + 0*a**4. Find the second derivative of f(q) wrt q.\nAnswer: 20*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5958, 2, 4, 2\/9 in descending order.\nAnswer: 4, 3, 2, 2\/9, -5958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 70. Let u be 2 - y\/(-4) - 45\/30. Suppose -6*b = -u*b - 714. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1461 - -7306\/5. Is -479 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024 = 40*r + 77 + 27. Let h = -1089 - -1940. Calculate the highest common divisor of h and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:39 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68184.24 hours to nanoseconds.\nAnswer: 245463264000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 + 150*h**4 - 3316*h**3 + 3012*h**2 + 3314*h - 3162 = 0. What is h?\nAnswer: -93, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 2:15 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*m**6 - 218*m**2 - 163*m**2 + 149*m**3 - 137*m**3 wrt m?\nAnswer: 2640*m**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*r - 3*n, -2*r + n = -r - 18. Let m be ((-4)\/5)\/(r\/(-35)). Let h(b) = -b - 2 + 4 - m. Let c(s) = -2*s**2. Give c(h(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 + 2*b - 4. Let u be g(0). Let k(r) = -r**2 - 3*r + 71. Suppose 41*c = 43*c - 14. Let j be k(c). Put u, j, -9 in decreasing order.\nAnswer: j, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38366657 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 570 = -5*x, 0 = x + 4*z - 16 - 98. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 6. Let b be t(-6). Suppose f + b*f = m, -m = -3. Let q be (-2)\/(5\/(-2)*2). What is the closest to 1 in 5, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1036 - 134 = 25*w. Solve -w*m + 39*m + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33652 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129.755 + 125.7. What is o rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1835 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -299145 divided by -37\nAnswer: 8085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 5*s + 97 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(176)\/sqrt(4)*-2*-1)\/(-1*sqrt(8)\/sqrt(2) - 3*(sqrt(4) - sqrt(36)))*-4*5.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*z + 43 = 10*d, -4*d = 5*z - 29. Let v be (7 - 6)\/(d\/(-5) - -2). Let l = -0.1 - -5.1. Which is the third biggest value? (a) l (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 - 56*l + 3. Let u be h(5). Which is the second smallest value? (a) 0.3 (b) u (c) -0.07 (d) 2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 82 = 163*t - 164*t, 4*a - 2*t = -32 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*d**4 - 56*d**3 - 132029*d**2?\nAnswer: 744*d - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.004 * 4021.\nAnswer: -16.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Suppose -5*i = -j*i - 5*d - 62, i - 34 = d. Suppose p = 3*p - 48. Calculate the greatest common factor of p and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/42*162\/108\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*f + 104 = 2*a, -3*f + 36 = a. Suppose -5*h - 4*c + 3 = 9, 4*c + a = 4*h. Suppose -4*k + 96 = h*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539592626.\nAnswer: 2, 269796313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Let q = -20.6 - -3.6. Let b = q + 12. Put b, g, 0.4 in increasing order.\nAnswer: b, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 6*z + 0*z - 1. Let i be t(-2). Let n(u) = 98*u**2 + 3*u - 2. Let o be n(1). What is the greatest common factor of i and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**27\/q**6 assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860383 divided by -3.\nAnswer: -1860383\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 19*x**2 + 19*x - 39. What is t(-20)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 + 2*u**2 - 13*u**2)*(u**2 - 2*u**2 + 3*u**2) + (u + 2 + 3 - 7)*(-u**3 + 2*u**3 - 2*u**3) to n*u**3 + t*u + q*u**4 + b*u**2 + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6084 times 1\nAnswer: 6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1084098, -2168201, -3252304, -4336407, -5420510?\n\"Answer: -1084103*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 97 = 4*d. Suppose v = 4*v - d. Let f = v + 14. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/19 (b) -1\/12 (c) -0.3 (d) 5 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3467*c**2 - 13*c + 12. Let s be z(11). Let r = s + -1839376. What is r rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-2) + 13*84\/728\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from cckn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 - 5*v - 6. Let d be x(-3). Solve d = -3*l - 3, 4 - 2 = 2*o + 2*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63933?\nAnswer: 3, 101, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -199.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -45) + -55 - -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*u**4\/4 + 231*u**3 + 465*u**2\/4 + u\/2 = 0 for u.\nAnswer: -1, -2\/461, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l. Let k = 1 + 1. Let j = k + -4. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 28*v - 379. Let f be a(-76). What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 970478230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2850 and 60.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1311 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10087 is divided by 167.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 102 + 2*w**2 - 3356*w + 3*w**2 + 3356*w in the form i*w + k*w**2 + o and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 4*i + 44)*(i**2 - 10*i**2 + 125*i**2).\nAnswer: -464*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 17, -5, -35?\n\"Answer: -4*p**2 - 2*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1664.\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/11)*a**(9\/4)*(a\/(a\/a**(-1\/2)))**(3\/29))**10 assuming a is positive.\nAnswer: a**(22145\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 2*p**2 + 2*p**2 + (2*p + 0*p - p)*(-5*p + 0*p + 3*p))*(-2*p + 2*p + p**2)*(12 - 785 - 1354).\nAnswer: 8508*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/7)*z*z**(-5)*(z**0)**47 assuming z is positive.\nAnswer: z**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - (-3 + 11 - -18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -68, -2, -424, -49.\nAnswer: -424, -68, -49, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -384*l - 2. Let k(h) = 385*h + 3. What is -3*k(r) - 4*v(r)?\nAnswer: 381*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19832 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 55*o**2 - 54*o**2 + 4*o - 19 + 0*o. Let j be q(3). Solve -3*t + h + 2 = 0, -j + 0 = -5*t + h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 1 (c) 0.4 (d) -14540\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97870*q - 97895*q + 100 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 + -28)*2\/(-1 - -2). Suppose 4*t - l*t - 64 = 0. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - -28.93. Let z = 24 - o. Which is greater: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (21 - 23) + -16 - (-1 + -50)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*s + 2*s. Suppose -20 = 5*n - 5*i, s*i + 1 = -n + 12. Let k = n - -46. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3771 = 350. Is (-1 + 0)\/((-13)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -5*l + 821. Let b = -4466\/19 + l. Suppose 4*y - 3 = y. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -328.23. Let t = 0.23 - h. What is the closest to -0.1 in -2, -3\/2, t?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*((sqrt(7260) + (sqrt(7260) - sqrt(7260)*6) + sqrt(7260))\/sqrt(2))\/(-1*sqrt(486)*-4))**2.\nAnswer: 44*sqrt(5) + 669\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -17. Suppose 0 = -p - j*d + 9, 5*p - 16 - 14 = -5*d. Suppose -3*n + 90 + 203 = p*f, 3*f = -n + 175. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 17*p - 82 = g, -5*g + 3*p - 8*p - 130 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1377)*-3*-4)**2.\nAnswer: 3172608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2. Let m(p) = p**2 - 5*p. Let c = -4 + 9. Let s(t) = -2*t**2 + 4*t. Let w = 1494 - 1490. Let u(v) = c*s(v) + w*m(v). Calculate b(u(x)).\nAnswer: 216*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((300\/200)\/(2*3))\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = 2*i, 2*g - 7 - 3 = -5*i. Suppose 27 - 115 = -i*t. Calculate the smallest common multiple of 2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 79, 2\/5, -4\/5, 1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387740793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 6*y**4 - y**4)*(5*y + 0*y - 3*y) + 38*y**5 + 84*y - 66*y - 33*y**5 + (-y - 3*y**2 + y)*(4*y**3 - 2*y**3 + 0*y**3).\nAnswer: -11*y**5 + 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 255 - 255.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/7 + 4*r**2\/7 + 148*r\/7 + 96\/7 = 0. Calculate r.\nAnswer: -6, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let v be 4\/3*(5 + -2). Let j be (v\/(-6))\/(4\/2). Which is the smallest value? (a) j (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/18*28\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-839)\/(-6) - 8\/(-48). Let n = z - 59. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -1c6a8dd?\nAnswer: 1c6a8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + (-3 - -1 - 1). Suppose 4*k = z - 20. Let v(a) = -a**3 - 2*a**2 + 2. Is 11 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/60 + 111*y**2 + 2*y + 11. Let g(v) = -2917*v**2. Calculate j(g(n)).\nAnswer: 8508889*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 8*q + 3*t + 7, -3*q - 4*t = 11. Let x(s) be the third derivative of 2*s**2 + 0*s - 1\/3*s**3 - 1\/24*s**4 + 0. Determine x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*m**5 - 5)*((37 + 78 - 65)*(-6 + 3 + 2)*(3 - 3 - 1) + 31 - 41 - 55).\nAnswer: -30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -1 + (-24212)\/(-7) + (-425)\/(-35) + -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166077901 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -967 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 766365974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 8, j: 4}. What is prob of sequence zjjw?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) - (-34)\/60. Let o = -7.3 - -8.37. Let q = o - 0.67. Which is the closest to -1? (a) q (b) -9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -1. Suppose 2*i - 2*a = 3*a - 7, -c*a - 1 = -4*i. Find the second derivative of m**2 - 4*m**2 + i*m + 4*m**2 + m**2 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2508 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose -2*m + 5*m - 15 = d. Suppose -72 = -m*u - 22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:05 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 43*o + 6 - 2*o**2 + 37*o + 156*o**3 - 9 wrt o.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 66*z = -46*z - 29*z - 8892 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 + -2)\/1. Suppose -2*o = u*s + 1 - 3, -3*o = -2*s - 8. Find f, given that -1\/3 + 4\/3*f - f**o = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -7*w**6\/120 - 5*w**4\/12 - 6*w**2. What is the second derivative of s(p) wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*r + 3*v, -r + 2*r + v = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 686150, -7 in ascending order.\nAnswer: -7, 4, 686150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1\/5, -25, 1\/7, 0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1526 - 1474. What is the remainder when p is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, n: 3, b: 1, g: 3, o: 1, u: 2}. Give prob of sequence pb.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49636, 49300, 48976, 48670, 48388, 48136, 47920, 47746?\nAnswer: 47620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -64.56. Let q = 65 + r. What is the biggest value in -0.5, q, -3, -14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msg when three letters picked without replacement from {n: 2, m: 3, g: 1, s: 3, i: 1, y: 2}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 88, 95, 72, 13?\n\"Answer: -m**3 - 6*m**2 + 56*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.77 + 348.23. Let q = 354 - c. Put -6, 2\/9, 0.4, q in decreasing order.\nAnswer: q, 0.4, 2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**2 + 641*j - 2. Let k be 0*((-7)\/(-2))\/7. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 6*s**3 - 8*s.\nAnswer: -2*s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 1929360*w + 15434806. Determine f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2938 or -2924?\nAnswer: -2938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/5, 2\/9, 30\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) 0.3 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x - x + (-3*x + 0*x + 4*x)*(-5 + 4 + 2))*(-2*x - 4 + 1 + 5).\nAnswer: -6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222052 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688 + -574. What is the remainder when s is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6558765 and 64545?\nAnswer: 85263945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17320 + 925. Does 41 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.13, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*d + 0 - 12 = 0, 3*t - 3*d = 9. Let k = 2 + 6. Suppose t = 3*g + k + 4. Put g, -3, -2 in decreasing order.\nAnswer: -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1110, -1134, -1158, -1182, -1206, -1230?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18189 (base 14) to base 6.\nAnswer: 1144541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w\/((w\/(w*w\/w**(-3)))\/w)*w*w*(w\/w**(-6))\/w*w\/w**(-1\/12)*w)**(-7\/3) assuming w is positive.\nAnswer: w**(-1183\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 621928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12*f - 410 = 0. Find the second derivative of -247*v**5 - 105 - 90 + 193 + f*v wrt v.\nAnswer: -4940*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tdxrtlc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2596 and 1209736.\nAnswer: 1209736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -15*n - 192. Let o = -30 - n. Suppose -3*r = o*r - 3*r. Solve -2*g - 3 - 3 = r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*m + 142*m + 594 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -24428*l. Let v(g) = -7*g**2 + 12. Give v(q(h)).\nAnswer: -4177090288*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40742 - 3*n - 40742.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 162\/21 - 4\/(-14). Does 6 divide (48\/m)\/((-22)\/28 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -24, -31?\n\"Answer: -7*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 66 + 219 = 0. Let j = -33 - k. Calculate the greatest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11315.\nAnswer: 5, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129138 or -903965\/7?\nAnswer: -903965\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 451 + -452. Let d(x) = -3*x - 4. Let n be d(5). Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10577 - 10499. Solve m + q = -25*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6627400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4623000956.4 and -10.\nAnswer: -4623000966.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*s = 6*s, 0 = -a - 3*s - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -100001000111?\nAnswer: -100001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20198348+-0.255\nAnswer: -20198348.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 10*b - 10. Let d(r) be the first derivative of r**3\/3 - 3*r**2\/2 + 3*r + 25. Let q(h) = -10*d(h) - 3*u(h). Let n(x) = -13*x. Give n(q(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14*5\/(-50)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2)*18\/14)\/(26\/(832\/(-12)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uubuuubuuuuuuuubub.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -439*j + 1124*j + 2585*j + 79687 - 17557 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -815b + 81b?\nAnswer: -7640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1015 - 5951\/6. Find the common denominator of (-208)\/(-32)*(-4)\/54 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**2 + 14. Let b(w) = -4*w. Give k(b(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8539 + 260 = 5*o + d, 3*o - 5277 = -3*d. Calculate the common denominator of o\/(-350) - 6\/15 and 37\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lplp when four letters picked without replacement from dlpdpdmdlmddm?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -24.85. Let x = r - 0.15016. What is x rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 * -54276\nAnswer: 3907872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -88.00063. What is u rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -123?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30600 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 + -175. What are the prime factors of v?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 86524038?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9567159g to kilograms.\nAnswer: 0.0009567159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 486 = -0*v. Let m be (v\/24)\/((-87)\/(-48) + -2). Let i be 3\/m - 31\/(-4). Solve 0 = 2*x - 5*t + i + 1, -10 = 4*x - 2*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 30733191 divided by -45939?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2174\/(-15218))\/(39\/364*4\/(-426))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1065170 and 4356178.\nAnswer: 631645810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from xwlrxeelmlelrwmerx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13864.858 rounded to the nearest ten?\nAnswer: -13860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*k*n*r**3 - k*n*r**2 - 2*k*n*r - 6427*k*n - 14*k*r**3 - 10*k*r - 420*r**4 + 1 wrt r?\nAnswer: 1362*k*n - 84*k - 10080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28322473.\nAnswer: 29, 976637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*(-6)\/4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*m = 412, 4*y + m + 414 = 5*y. What is the highest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*p**3 + 228*p**3 + 25*p**3.\nAnswer: 399*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4171*d + 24. What are the prime factors of x(5)?\nAnswer: 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtdjdjjjdjjjjtjjj. What is prob of sequence dtt?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2604*w + 3 = 2605*w, -4*v + 6*v - 3*w - 43 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, -76, -368, -968, -1984, -3524, -5696?\n\"Answer: -18*k**3 + 8*k**2 + 10*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k - 2*i, -2*k + 0*k - 2*i + 12 = 0. Let u(r) = -3*r**2 + k - 1 + 7*r**2. Let z(f) = 2*f. What is u(z(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -27. Sort 0, a, -23.\nAnswer: -23, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 7. Is 15 a factor of 334\/22 + v\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -42, -36, -28, -18, -6, 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1174\/5 - 1142\/5. Calculate the common denominator of l and 36\/19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58402433, -116804864, -175207295, -233609726, -292012157, -350414588?\nAnswer: -408817019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(3\/8 + 86\/(-16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00908363 and 1.\nAnswer: 1.00908363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 77112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 17. Let f = -5 - u. Calculate the remainder when 18 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 594*g + 63628. Determine d(275).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 26082.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.23 in -5, -3.2, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 53*p. Let j(k) = k + 3. Let m(a) = 10. Let g(l) = 10*j(l) - 3*m(l). What is g(v(u))?\nAnswer: 530*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4352 and 26656?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-68)\/6)\/(4\/(-6)). Suppose 3*k + 2*g - 28 = 0, -2*k + 3*g = -0*k - 36. Let t = i - k. Solve -5*n = 2*y + 15, -3*y + 9 = 2*n - t*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11087.\nAnswer: 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 1095. Suppose 2*d - i + 199 = 0. Solve 0 = 4*p - 2*p - d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (9 + -20 - -15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 46*s**5 + s**4 + s**3\/3 + 3476*s - 8027. Differentiate l(t) with respect to t.\nAnswer: 920*t**3 + 12*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 3. Let w = 5 - 3. Let c be i(w). Let r = 8 - c. What is the highest common divisor of r and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 6*k**2 + 12. Let z(j) = -j. What is z(o(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 191, 384, 577, 770, 963, 1156?\n\"Answer: 193*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 355 = f, 3*q - 540 = 4*f. Let g be (4 + -10)*(0 + 44\/(-6)). Calculate the highest common factor of q and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = q, 5 - 3 = -5*q - 3*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 7. Let f be d(1). Sort f, -2, -13 in decreasing order.\nAnswer: -2, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 + 157 = -3*o. Let y = o - 80. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 92, 4, -28 in decreasing order.\nAnswer: 92, 4, 3, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 17*w + 6. Let x be n(-17). What is the third derivative of -588*a**4 + 61*a**2 + 589*a**4 + 5*a**6 + 7*a**x wrt a?\nAnswer: 1440*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -815*n - 27692. What is b(-34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -5. Suppose -3*l - 2 = m - 0*m, 0 = 4*m + 2*l + a. Sort 8, m, 0.\nAnswer: m, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 34. Let h(u) be the third derivative of 2*u**2 + 0*u + 0 - 1\/6*u**j + 0*u**4 + 1\/60*u**5. Let h(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85, -108, -145, -196, -261, -340?\n\"Answer: -7*m**2 - 2*m - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 1\/3 (b) -4.5 (c) -1 (d) -0.3 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*a = -11, 3*r - 3*a + 90 = 93 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**8\/480 - 19*l**7\/1260 - l**6\/45 + l**5\/15 + l**4\/6 + l. Let u(a) be the third derivative of v(a). What is z in u(z) = 0?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1000085*h**4 - 3080169*h wrt h?\nAnswer: -12001020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**2 - 5\/12*v**4 + 4\/3*v**3 + 0*v + 0. Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p**3 - 17158*p**2 - 141208*p - 275840 = 0. Calculate p.\nAnswer: -5, -16\/5, 1724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -152*q**2 + 1992*q + 24. Give i(13).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 - 25*n - 21. Let o(s) = 44*s**2 + 276*s + 232. Let w(p) = 32*d(p) + 3*o(p). Factor w(l).\nAnswer: 4*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v + 10. Let n = -3 + v. Solve -9 = 4*t - t - n*l, 0 = 3*t + 4*l - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20453*j**4 - 155*j**2 + j - 15?\nAnswer: 490872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 17*q + 19. Is b(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 213 + -163. Calculate the remainder when 96 is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/1242?\nAnswer: -7\/1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 19 + 125578*i**2 - 17 + 72 - 19 - 125573*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -2, 27.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 654 and 763.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72892 and 20.\nAnswer: 364460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5751*m**2 - 9*m + 7. Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((0 + sqrt(288))*2 + (sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) + 1)) + -4)) - -1*(2*(sqrt(288) - 2*sqrt(288)) + -3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**4 + 9*z**3 + 6*z - 42311.\nAnswer: -16*z**3 + 27*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:03 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 4726.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d + 7*d - 5*d. Determine x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 + z + 6. Let v(s) = 17 + 250*s + 21*s**2 + 249*s + 243*s - 48 - 748*s. Determine -11*b(a) - 2*v(a).\nAnswer: 2*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*k - 1107 + 1107 + 2*k**3)*(-5*k + 3*k + 4*k).\nAnswer: 4*k**4 + 174*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/(-3))\/((-4)\/(-6)). Sort 4, 1, c, 3 in decreasing order.\nAnswer: 4, 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52080 divided by 2480?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3)*l)\/(l*l*l**(4\/5)\/l*l))**(1\/47))**(-33))**(2\/7) assuming l is positive.\nAnswer: l**(1584\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 (base 11) in base 13?\nAnswer: b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41359, 41356, 41339, 41302, 41239, 41144?\nAnswer: 41011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53132209 is divided by 2137?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 127*g - 2700 = 0. What is g?\nAnswer: 27, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3712 divide 1079909888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 863, 2188, 4109, 6626, 9739?\nAnswer: 13448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3 + r**2 + 3 - 6*r + 5 + 0*r**2. Let i be l(6). Solve -2*n + 2*p = -4*n - 14, n - i*p = 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 - 0 - 306\/(-72). Solve 2*d + d + 3*f = 0, 4*d - g*f = -9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3282 or 13123\/4?\nAnswer: 13123\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.052 - 3.948. Which is the third smallest value? (a) 2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20*(2 + (-33)\/12). Let k be (2\/(-45))\/(3\/d). Which is greater: 0.3 or k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 854*r**4 - 858*r**4 + 17*r**2 + 2 + 0*r - 2*r to the form a + i*r + n*r**4 + o*r**2 + l*r**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-28)\/(-4)*(-4)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001111100001010101 (base 2) to base 15.\nAnswer: 435d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 2 (c) -3 (d) 5 (e) 0 (f) -1\/4 (g) 4405\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(1 - 115593*o + 65902*o - 2405*o) as a + w*o and give w.\nAnswer: -104192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1386)\/(-33)*(1 - 0)*1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 1508 - 1507 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108 = -z + 2*z + 1105 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235954 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -94. Let p = -5 - -5.3. Put p, 3, b in decreasing order.\nAnswer: 3, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-220)\/16)\/11)\/(4\/(-4)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124748*x**3*y + x**2*y + 14*x**2 + 9040*x*y - 152*y wrt x?\nAnswer: 748488*x*y + 2*y + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 2*u + 2)*(49 - 165 - 399 + 76) in the form a*u + f and give f.\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:07 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**2 - 75*v + 353. Is n(47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.54542843 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 890719772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75998*o**2 - 152036*o**2 + 76004*o**2.\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*v + 6*v**2 - 4*v**3 - 76*v + 137*v - 5*v**2 - 75*v - 2 to g*v**3 + i + z*v**2 + b*v and give b.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66206951 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/6123 and -67\/24?\nAnswer: 48984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1586\/43 + -98011\/2838. Find the common denominator of 97\/48 and n.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 19*k + 161. Let q(i) = 222*i**2 - 17*i + 144. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32580 by 8145.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqyy. Give prob of sequence yoyq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/4*(-160)\/240?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316087119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 207131.\nAnswer: 11806467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + sqrt(539) + 1)*2)**2 - (1*(sqrt(539) + -2))**2) + (4*sqrt(539) - sqrt(539))**2*-2 + (sqrt(539) + -1)*2.\nAnswer: -1619 + 154*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -6005 = -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 727999206 + -108471332035\/149. Let n = t + -3689. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -134938.6\nAnswer: 6746.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 - 434*v**2 - 844*v + 3440 = 0.\nAnswer: -215, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54624 and 32928?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 72 = 54. Let l(p) = 4*p**3 + 28*p**2 + 2*p + 47. Calculate the remainder when l(-7) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*s - 3, -20 = d - 5*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 56400 = 5*j - 56375, -3*g = -7*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14*d - 6 = 0, -21 = h + 4*d - 9 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1140154 + 3?\nAnswer: -1140151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 571175281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 6 - (12 - 8)) + -5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 4, -8\/3, -4 in descending order.\nAnswer: 4, -0.09, -8\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 776*w + 2330\/3.\nAnswer: -2*(w - 1165)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1795250740 to the nearest integer?\nAnswer: 42370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -6*g + 16*g + 17. Let q be -14*1*(0 + -1). Solve 10 = g*s - q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850878597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 27*u + 9. Determine c(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 106 = 5*w. Let q = w + 39. Find the third derivative of 3*k**4 + 11*k**2 - q*k**4 + 6*k**4 wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*m**2 + (325 - 45 + 58)*(-2*m**2 + 0*m**2 + 0*m**2) + 2*m**2 - 3*m**2 - 12*m**2 in the form d + s*m + o*m**2 and give o.\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 + 92 + 68)*(-2*l + 0*l + 4*l) as v + c*l and give c.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 160*h + 987. Let d be a(6). Sort 4, -26, 1, d, -1 in decreasing order.\nAnswer: 4, 1, -1, d, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from sgsggggggg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18679820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40774892061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.022664 and -23165697.\nAnswer: -23165697.022664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35634 - -0.60634. Put 0.22, -2\/23, l in ascending order.\nAnswer: -2\/23, 0.22, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5136008?\nAnswer: 2, 401, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/19)*r*r**23)\/((r**(-2\/19)*r)\/(r\/(r\/r**(-22)))))**(1\/4) assuming r is positive.\nAnswer: r**(25\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 16790\/2098 + -4)\/3. Are n and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n*n**3))\/n*n)\/(n*n**(-4\/5)*n))\/(n**(-6)*(n*n**6)\/n))\/(n**5*n**(-3\/4))**0 assuming n is positive.\nAnswer: n**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -20 (c) -6 (d) -0.09 (e) -57 (f) 3\/2 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/22 - -17\/154. Let u be (-10)\/25 - (-2)\/5. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2830 + 0*z - 2835 + 3*z. Let d(i) = 2*i - 6. Suppose m = 6*m - 15. Let b(v) = 1. Let q(r) = m*b(r) + d(r). Determine -5*q(t) + 3*x(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -492297 divided by -507?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1010120?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*b**2 - 4 + 1\/4*b**3 + 2*b.\nAnswer: (b - 1)*(b + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*o + 6, 4*o - 2*o = -5*l + 5. Let b(n) = 89*n + 91*n - n**2 - 179*n - n**l - 1. Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 13*z + 29. Let n be s(-7). Let q = -83 + n. Solve 10 = 4*w - q*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15611 and -2.428684842.\nAnswer: -15613.428684842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:41 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, 5\/3, -46\/19, 721?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3\/(3\/10). Suppose 11 = 6*f + 161. Find the common denominator of 43\/16 and ((-31)\/v)\/((-40)\/f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 - 2*m + 1. Let h(t) = 2*t + 7. Let d be h(-2). What is z(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*x**2 + 597*x**2 + 565*x**2.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3036\/(-2002))\/46)\/((-2)\/28).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f**2 + 2*f - 2. Let o be u(-2). Which is the third smallest value? (a) 3\/5 (b) -5\/12 (c) o (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14.7. Let f = 85\/372 - -2\/93. What is the closest to f in -0.1, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1345456 = -4*n, 83*n - 81*n = -4*b + 1793928. Round b to the nearest one thousand.\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + r - 4. Let b(f) = 12*f**2 - 5*f - 12. Let k(o) = -3*o**2 + o + 3. Let y(u) = 2*b(u) + 9*k(u). Calculate -2*i(q) - 3*y(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 10.98. Let m = 1.9 - -7.1. Let f = u + m. What is the nearest to 2 in 5, f, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = 3*d. Let i(o) = -o - d + 0 + 4. Let t(c) be the third derivative of 2*c**5\/15 - 9*c**2 - 8. Calculate i(t(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:17 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 101 + (5 + 1)\/(-3). Suppose -4*r - 36*q + 33*q + 87 = 0, -4*r + l = -q. Which is bigger: r or 16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42161 + 0\nAnswer: 42161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21625*z - 4496?\nAnswer: -21625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/((-462)\/121)*14\/(-11) and 30\/81 + (-2)\/(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-3)*(-182)\/(-104). Calculate the greatest common divisor of 1323 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -23\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emveseeessmeseepe. Give prob of picking 2 e.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 82276220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -0.67 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(6*sqrt(441) - sqrt(9) - sqrt(9)).\nAnswer: sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7430.1 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -35*p - 22. Let z be w(3). Let x = z - -132. Suppose -4*n + 13 = 5. Sort n, -4, x in ascending order.\nAnswer: -4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*r - 90. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.554 + -0.074. Let s = 1.0592 - c. Let d = -0.1182 + s. Round d to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/10*3\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002801025 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 162\/5 (b) -3\/5 (c) -2 (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29790000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*t)*(3 - t - 3) + 0 + 2*t**2 + 7*t**2 - 2 in the form y*t**2 + w + s*t and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9108 and 38720?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632047 = 286*u + 594295 for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -37813, 2.\nAnswer: -37813, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62*p**3 - 37 - 110 + 613 + 1161*p**3 - 2*p**2 wrt p?\nAnswer: 3297*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/49)\/(-9))\/(5\/770*-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 581, 878, 1175, 1472?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:31 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1\/12 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 12*m - 24. What is the remainder when o(17) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43168?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -1468, -3311, -5894, -9217, -13280, -18083?\nAnswer: -23626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1391*k**5 - 847*k.\nAnswer: -27820*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.369 * 135.\nAnswer: -1129.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(-20*n - 122*n - 12*n) in the form q*n + g and give q.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*h**3 - h**2 - 207?\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.02 - 0.42. Let s = -0.6 + c. What is the closest to -2\/3 in 0.3, s, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-166)\/(-36)*-3 + (-1)\/(-2) and 31\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0132 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 + -143. Suppose -y = 4*w - 149, g = 4*w + 4*y - 81. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -397, -1027, -1919, -3073?\n\"Answer: -131*l**2 + 25*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 - 4*t - 1. Suppose -27 - 25 = -2*l. Suppose u = -i - i + 17, 4*u - l = -i. Calculate the remainder when 20 is divided by v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-715*q - 610*q - 151*q - 112*q + 264*q)*(7*q**3 + q**3 + 10*q**3) to b*q**4 + s*q**3 + u + y*q**2 + h*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.063.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(147) - sqrt(147)) + sqrt(30)\/(sqrt(80)\/(1*sqrt(8))).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0280583 * -0.0624.\nAnswer: 0.00175083792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/12 - k**3 - 8*k**2. Calculate the least common multiple of n(-4) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 11:05 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37507, -37509, -37519, -37543, -37587, -37657?\nAnswer: -37759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.23 and -77.799.\nAnswer: -329.08977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 - 942*l**2\/5 - 3139*l\/5 + 57456.\nAnswer: (l - 945)*(l - 16)*(l + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/171 + (-378)\/(-19). Suppose -171 = -n*w + 29. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 374*u + 150784. What is f(244)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 298\/(-3129) + (-2)\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 divided by -1?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 100801 and -17925.0123.\nAnswer: 82875.9877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*u - 4 = 89*u. Suppose -5*w = -q - 65, 3*q = q + 10. Let v be (-2)\/7 + (-24)\/w. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 41*f**2 + 24*f + 218. Is i(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/3))**25 assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 269. What is the remainder when 26 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00701786 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 3340, 7542, 13432, 21010, 30276?\nAnswer: 41230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -42\/11, -5, 1.371?\nAnswer: 1.371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 53*r**3 - 6*r**2 + 8. Let j(a) = -18*a**3 + 2*a**2 - 3. Calculate 8*j(w) + 3*y(w).\nAnswer: 15*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604896.8*-14.\nAnswer: 8468555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*b**2 - b**3 - 60*b**2 - 3*b + 5*b**4 - b**3 - 26*b**2 in the form f*b + s*b**3 + w*b**2 + c*b**4 + u and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26884 + -0.13116. Which is the nearest to 3? (a) u (b) -0.01 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 8\/3 - 1\/3*g**3 - 4*g.\nAnswer: -(g + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 25. Let y = z - 26. Calculate the least common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 - 3*x - 8. Let o be r(-4). What is the tens digit of ((-9)\/o)\/(-3 + (-359)\/(-120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:29 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 6 = 0. Suppose 4*g = -d*l + 14, -5*g + 33 = -0*l - 4*l. Suppose -i + 7 = n, 2*n + 12 + 30 = g*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1257 - -1309. What is the highest common divisor of 338 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477*i - 379*i - 88*i)*(-5 + 5 - 2) - 3*i + 6*i - i.\nAnswer: 1890*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7011?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -411 + -2?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -0*f + 42. Suppose 0*q + 66 = -6*q. Let g be (-20)\/(-3) - q\/(66\/8). Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 3*v + 2. Let h be o(4). Let t be (h + (-1)\/(-1))\/(2\/(-24)). Is 15 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-8 + -5 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 26*a - 1. Let r be t(-8). Let q = 1273 - r. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(61\/549)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 153. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Solve i = b - 0*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 80 - 51*n + 2462*n**2 + 4*n**4 + 14*n**3 - 2*n**4 - 2450*n**2 = 0 for n.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -8, -85, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 167 = -185 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let t(j) = -1375*j**2 + 2*j. What is z(t(v))?\nAnswer: 2750*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431 - 94. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-2))\/3 + 3. Solve -2*j = i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751646219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 35*r**3 + 1. Let o = 20 + -19. Let t be i(o). Let c be 5*(3 + t\/(-15)). Solve -9 - 3 = -c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/756 and 145\/176824836?\nAnswer: 1237773852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6*d**2 + 18*d + d**2 - 13 + 6.\nAnswer: -5*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5, 2*i - h - 14 = 3*h. Suppose -12 = 4*g - g, 5*p - i*g = 25. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16)\/(12\/32*4\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-6 - 17 - -28) - 20\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(153) + 1 + 1)*-6*-6 + -4).\nAnswer: -216*sqrt(17) - 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 111*t + 3. Let h be v(3). Suppose 10*w - 15 = 405. Calculate the highest common divisor of w and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 9. Let k be v(-6). Let p be 6 + 9220\/15 + 11\/33. Suppose 0 = j + 4*z - 315, -5*j - 5*z = -k*j - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(105\/(-56))\/15.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39705 divided by -5?\nAnswer: 7941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/51)\/(1482\/969)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 c when four letters picked without replacement from crccrr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 48. Let k(z) = 3*z + 88. Let d(h) = -7*i(h) - 4*k(h). Determine d(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 23*s + 43*s - 19*s.\nAnswer: s - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqvvevvvqqqqqeeeq. What is prob of picking 3 q?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5*g - 2 + g**2 + 2 - 2. List the prime factors of q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*2\/3. Let s = x + 1. Suppose -s*m - 3 = -5*t, 1 + 1 = -2*t + 4*m. Solve t = -3*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 17. Suppose -5*g - 23 = -183. Calculate the remainder when g is divided by z(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 4. Let z be p(0). Let h(y) = 3*y**2 + z*y - 2*y**2 - 10*y + 2. Calculate h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*x - 7 + 57 + 32 to l*x + r and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 11, 2, -9, -22?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 999, 1980, 2951, 3912, 4863, 5804?\nAnswer: 6735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Suppose n = 3*t + t - 8. Let q(s) = s**2 - 6*s + 6. What is the least common multiple of t and q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3419\/7 and -488 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n + 11. Let f be 94\/18 - (-6)\/(-27). Suppose 0 = t + 3*i - 20, 0 = -f*t + 2*i + 22 - 7. Calculate the smallest common multiple of a(0) and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294325 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 3 + sqrt(65)\/sqrt(5) + 2 + (sqrt(1300) + 2)**2 + sqrt(1300) + 0 + (sqrt(1300) + 1)*-4.\nAnswer: 14*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -425, -1139, -2605, -5201, -9305, -15295, -23549, -34445?\n\"Answer: -63*w**3 + 2*w**2 - 279*w - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 21. Let c(p) = p - 2. What is 5*c(s) + k(s)?\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 57 = -21*x. Let r(w) = -w**2 + 4*w - 6. What is r(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/24 and -22\/7247341?\nAnswer: 173936184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 + 1018*l**3 - 514074*l**2 - 4161584*l - 8355872.\nAnswer: -(l - 1022)**2*(l + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 544091 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.062, 4, 7.\nAnswer: -1\/4, -0.062, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, g: 1}. What is prob of sequence gzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - c = 25, -4*p + 5 - 4 = 3*c. Let z be (-8 + p)\/(-8)*0. Solve 0 = -5*h - 2*f - 31, z*h + h - 4*f = 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 2\/5*s**2 + 2\/5.\nAnswer: -2*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 1\/2 (b) -0.3 (c) -0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 9. Suppose 33*u - 43758 = -45*u. Calculate the highest common divisor of m and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1554 and 9408.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a - a + (-1 - 1 + 3)*(-2*a + 1 - 1) - 4*a + 4*a + 2*a - 243 + 234 - 208*a + 206*a.\nAnswer: -4*a - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 + 8*d**2 - 7*d - 2*d as p*d + a + q*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 3*b - 4*b)*(-2 + 2 + 1) as z + r*b and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2*r. Let s be f(0). Suppose s = 3*q - 8 - 28. What is the second derivative of 12 + 10*x**2 + x - q + 9*x wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.64 + -0.64. Let h = m - 29.8. Suppose -2*z - 21 = -5*d + 6, z - 4*d + 21 = 0. What is the closest to 1\/2 in -1\/2, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, a: 1, y: 3, l: 5, r: 2}. Give prob of sequence ry.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {d: 3, b: 3, q: 2, u: 12}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462210 is divided by 10271?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5974, -11939, -17904, -23869?\nAnswer: -29834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -142*n**2 - 32*n - 26. Let c be o(8). What is c rounded to the nearest 100?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p. Let t be (-8 - p)*1\/(-2). Suppose -5*m = -k - 0*k - 10, -t*m + 8 = 2*k. Solve -3*n + 3*f + f - 4 = 0, -8 = 3*n - m*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21320497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -124, -220, -348, -520, -748, -1044, -1420?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 8*o**2 + 15*o + 13. What is the tens digit of q(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 280. Let r = 140 + u. What is the smallest value in 10, 3, 5\/4, r?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1058 = 5*i, -5*i = -y + 6*y - 2630. Suppose -4*j = -u + y, -j + 695 - 2746 = -4*u. Suppose -a + 233 = 3*m - 151, 4*m - u = -a. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 499*n + 50*n**3 - 2 + 375*n + 130*n.\nAnswer: 50*n**3 + 6*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 226317283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(((-23851)\/(-170))\/(-61))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 12, o: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/49*((-60858)\/28)\/69.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -46.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1ba8587 (base 13) to base 15\nAnswer: -c2064e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 + f**2)*(-5 + 2 + 4) + f**2 + 0*f**2 + f**2 + (-3 + 3 - 4*f)*(380*f + 108 - 381*f + 90).\nAnswer: 8*f**2 - 792*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10928 is divided by 993.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 727470 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 24*f**2 - 17*f - 895. Give u(26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 29 = -u, -3*q - 75 = -2*u - 89 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55, 43, 25, 1, -29, -65, -107?\n\"Answer: -3*j**2 - 3*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 2 - 2 + (-1 + 4 - 2)*(-5*f + 5*f - 2*f) + 2*f - f - 4*f + 3*f + 2 - 2.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -219.35. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 9215\/747?\nAnswer: 9215\/747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 3*v**2. Let j be q(2). Let u = 1 + -2. Let w = -2 - u. Which is the nearest to w? (a) j (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 1287117?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(12\/7)\/p*p\/((p\/(p*p**(-20)))\/p))\/(p\/(p\/p**(-9\/4))*p**(-2\/21)*p) assuming p is positive.\nAnswer: p**(-1339\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(30)\/sqrt(6) + sqrt(5) - sqrt(45)*-1.\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 3)*(-7)\/(-21). Let n = -5\/24 - -83\/168. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0591922 times 145.6\nAnswer: 8.61838432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.22 and -987.8?\nAnswer: 995.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmc when three letters picked without replacement from {c: 3, m: 2, w: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12 + 3\/(27\/75). Is -2 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4653.046 litres?\nAnswer: 4653046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y - 4*y**2 - 31*y - 620 + 2*y**2 + 6*y**2 + 21*y in the form n*y**2 + r + c*y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*g + 4 = -737*g + 5*n, n - 2 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/7 + 158976*j**4\/7 + 635872*j**3\/7 - 32*j**2\/7 - 363360*j - 2543488\/7 = 0.\nAnswer: -79484, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133797\/91930 - 16\/1585. Are w and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 25)*1*-7. Let s = u + 199. Calculate the highest common divisor of s and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 2. Suppose 7*f - 2*f + 50 = 5*h, -5*f - 3*h - 18 = 0. Let w be b(f). Let x = w + -11. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 34*u**2 - 10*u + 72. Let j(i) = 68*i**2 - 20*i + 122. Calculate -5*d(p) + 3*j(p).\nAnswer: 34*p**2 - 10*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 424*d**2 - 10*d + 4. Let w(q) = 423*q**2 - 17*q + 5. Let v(j) = 6*p(j) - 4*w(j). What is the second derivative of v(o) wrt o?\nAnswer: 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 545.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1) + (-4)\/(-1). Suppose -t*a + 5 = -g, -3*a = 2*a + g - 9. Suppose -38 = -a*l - 0*l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275687248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 32 - (-2448)\/(-246).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-32)\/14. Does 19 divide 5*(28\/5 - h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let x be o(6). Let h = x + 6. Suppose -3*q - h*q + 28 = 4*m, -m + 7 = 3*q. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*u + 141. Suppose 5*i + 1 = -14. Let a be (1\/2)\/(i\/u). Let p(d) = d. Let c(v) = 3*v + 1. Determine a*p(g) - 2*c(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04481817 and 192006.1?\nAnswer: 192006.14481817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429606 or -429583?\nAnswer: -429583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - 33 = 0. Let z = y + 16. Suppose 3*l - 149 = 5*a, -z*l + 0*a = a - 267. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-9) - (1 - 4). Let s = 2 + 1. Let a = 3 - s. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-4)*(-4396)\/(-157157).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -862715\nAnswer: 862704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76 - -67)\/(6\/4)*1\/(-2). Solve -64*f - 5 = -65*f + 2*i, 4*f = -z*i + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1118 - 764. Suppose 30 = -4*p - 4*t + g, t = p - 81. What is the tens digit of ((-4)\/(-3))\/(3\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-25) + 2\/4. What is the second biggest value in s, -3\/7, -3\/4, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259 - -262. Let i(h) be the third derivative of -1\/40*h**6 + 0*h**5 + 0*h**4 + 2\/3*h**3 + 0 + 0*h + f*h**2. Differentiate i(z) with respect to z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.82624143 to three dps.\nAnswer: 10.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 18, 2, 4, 9, -1 in ascending order.\nAnswer: -61, -1, 2, 4, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53 and -62262.\nAnswer: -62315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 12. Determine i(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - 20\/6. Let u be 2052\/48 - p\/(-4). Calculate the greatest common divisor of 105 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1684)\/(-7))\/(((-16)\/7)\/(-8)). Suppose 7*n - k - 54 = 0. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6420390, 6420345, 6420296, 6420243, 6420186, 6420125?\nAnswer: 6420060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n = -45*n + 6422 + 1020307. List the prime factors of n.\nAnswer: 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 66.99957. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8374276 is divided by 4187033.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 6*s + 9*s + (-3 + 2 + 3)*(-5*s + 3*s + 0*s + (-2*s - 2*s + 3*s)*(3 - 3 + 2) + 1 - 1 + s + 4*s + 0*s + 0*s).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.1. Let n = 0.06 + -12.06. Let k = n - -11. What is the closest to 0.05 in l, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 1 - 15*q**2 + 4 + 7*q**2 in the form k*q**2 + o + s*q and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/77965, 6\/19, -13?\nAnswer: -1\/77965","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 1191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 25*v**2 + 8*v**3 - 34*v**2 + 76*v**2 - 17*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 430965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 75 + 2*t - 75. Let b(j) = 33*j. Give i(b(y)).\nAnswer: 66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/77890 (b) 1\/4 (c) 2.53 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1172873547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/285)\/((-108)\/(-27)*(-4)\/(-8)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2412*c**2 - 288. Let j(v) = -v**2 + 4. Give 72*j(y) + x(y).\nAnswer: -2484*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-336)\/(-63). Suppose 18*w + 6 = 20*w - 3*r, 0 = b*r. Suppose -10 - 7 = -5*p + 4*f, 5*p - 15 = 5*f. Put -3, w, -9, p in descending order.\nAnswer: p, w, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anw when three letters picked without replacement from {n: 3, a: 3, r: 4, m: 7, w: 1}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let n be 26\/(-52)*(-2)\/4. Let y(f) be the third derivative of 5*f**2 + n*f**4 + 0*f + 0 + 0*f**3. Give j(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 5509 - 195. Calculate the remainder when i is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109287087.\nAnswer: 3, 7, 13, 97, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91c2 + 1273?\nAnswer: a445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 9*d**5\/5 - 4*d**4 + 13*d**3\/6 - d**2\/2 - 2*d. Solve r(q) = 0 for q.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -21*j**2 + 5484*j - 874. Determine i(261).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/2 - r**5\/5 + r**4\/4 + 5*r**3\/3 + 3. Let h(s) = -s**5 - s**2. Let z(n) = 4*h(n) + u(n). Factor z(p).\nAnswer: -p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 96*v**2 - 394*v + 2. Calculate o(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -44. Let o be d\/(-10)*2*-1. Let h(n) = -8*n + 19. Let l be h(o). Let t(m) = m**3 + 4*m**2 - 6*m - 2. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001 (base 3) in base 4?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -33. Suppose 26*i - 24 = p*i. Let o be (-2)\/(-1)*(-3)\/3. Put 0, i, o in decreasing order.\nAnswer: 0, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 8) to base 4\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**27*(g*g**(-3\/7))\/g*g\/g**(1\/4) assuming g is positive.\nAnswer: g**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1327445 by 35.\nAnswer: 37927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16*(3\/(-4) + 15\/(-30)). Let n be 766\/10 + 12\/w. Suppose -1474000 = -n*m + 78*m. Round m to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 53606 = 3*l, -71452 = -97*l + 93*l + p. Does 86 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*b**2 - 6063230*b - 1010535 = 0. Calculate b.\nAnswer: -202107\/4, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:25 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 + 8. Let n(u) = 1. Let w(k) = -4*n(k) + y(k). Is 14 a factor of w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6854, 6447, 6030, 5597, 5142?\nAnswer: 4659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by -62.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031011 (base 4) to base 15.\nAnswer: 3d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*l**2 + 345*l**3 + l - 347*l**3 - l**4 + 2*l**4 to the form b*l**4 + h*l**2 + t + j*l + o*l**3 and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a hour in seconds?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/6)\/((-2)\/(-4)). Suppose -6*y + 2*y = 4*l - 8, y = 4*l - 3. Calculate the highest common factor of p and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93\/16 in 3, -1202, 1.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5 + (-2 + 3 + 0)*(1 - 5 + 2) - 3 + 4 + 1 + 3 - 1 - 4)*(-7 - 1 + 5)*(-3*l + l - l) to v + c*l and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 974551 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 4 - -1. Suppose 0*c - 644 = -t*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 1, b: 10, p: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530316 (base 8) in base 12?\nAnswer: 1918ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, 29, 0.01, 23.\nAnswer: -1\/4, 0.01, 1, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 + 3 = 0. Let j = 5.1 + -5. Let q = 0.1 + j. Sort f, q, 1 in increasing order.\nAnswer: q, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 9*p + 20. Let u(c) = -c + 15. Let h(j) = -3*j + 29. Let v(x) = -2*h(x) + 5*u(x). Let i be v(0). Solve f + f - 5*b = i, -p*f - 4*b = 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = 2. Let g(k) be the first derivative of -k**4\/4 + 4*k**3\/3 + k**2 - 2*k + 2. What is the units digit of g(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 10?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*i + 1057905 = 3559305. What are the prime factors of i?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + 4*o - 5. Give n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20 = 0, 5*s - 17*w - 78408 = -78503 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7032685.07 plus 58345?\nAnswer: -6974340.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 355 and -32.\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2. Let h be u(-2). Suppose 0 = -3*p - 8 - h. Let v be (4\/6)\/(2\/p). Sort v, -4, 3.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/56 + q**6\/20 + q**4\/3 + 36*q**2. What is the second derivative of j(c) wrt c?\nAnswer: -120*c**3 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 1\/9, -0.06, 4, -9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/640*((-2)\/1)\/(121\/(-11))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)\/l**15 assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 410025929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32708, 65419, 98130, 130841?\nAnswer: 163552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 112. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 - i**2 + 4*i**2 + (3*i - 7 + 7)*(0 + 1 - 2)*(-1 + 1 - 2*i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82401 is divided by 841.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - 0.4. Let h = 0.19 - x. Let t = -0.04 - h. Which is the nearest to 1? (a) t (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:38 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/55584 and -93\/32?\nAnswer: 55584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2675 - 2676. Let j = 11 - 5. What is the second biggest value in 4, k, 0.03, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 58*q**2 - 56*q + 81. Is p(-56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -7*v**2 - 29*v + 3. Let g(s) = s. Let m(h) = d(h) - 3*g(h). What is the remainder when m(-9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2*o + o**3 + (-2*o**2 - o**2 + 6*o**2)*(-5*o + 3*o - 8*o) to l + u*o + p*o**3 + f*o**2 and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 51*r + 7 - 84. Solve 23 = -r*y - 5*t, 0*t + 4*t + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 22. What is l(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 5, n: 1, j: 1, i: 6, u: 4}. What is prob of picking 2 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v + 47 - 60 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108535 at most 108537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 8*u**2 + 12*u - 148. Calculate y(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2728 and -1\/440?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.9. Let t = 2.03 + -41.03. Let i = 36 + t. Which is the second biggest value? (a) 4 (b) r (c) i (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-22)\/((-42768)\/(-72)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-38)*h**(35\/4))\/(h*h**(-2\/7)*(h*h\/h**(24\/11))\/h) assuming h is positive.\nAnswer: h**(-8865\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 + 26*y**2 + 58*y + 24. Let n(l) = l**3 + 1. Let d(x) = c(x) + 6*n(x). Factor d(z).\nAnswer: -2*(z - 15)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 - 15*t - 73. Determine w(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22403040 divided by -407328.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-20 + 9*j + 20) as c + r*j and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 464308*h**2 - 836473*h wrt h.\nAnswer: 928616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9293.1 - -9293. Sort 0, 2\/13, 4, g, 0.02.\nAnswer: g, 0, 0.02, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3526*g. Let c(y) = -215*y - 3. Let u(w) = -23594*w - 329. Let i(s) = 329*c(s) - 3*u(s). What is 301*i(p) - 4*n(p)?\nAnswer: 43*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 1.584371914?\nAnswer: -20.584371914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/7 and 21\/909520?\nAnswer: 6366640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*q = 3935004, -3743209 = -5*f + 5*q + 191796. What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let c = o - 2. Suppose -2*p - 2 = 2. Are c and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-44)\/(1936\/66)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2307 + 2303. Let c = -0.7 + -0.3. Is w smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g + 5 - 4*g**2 + 8*g**2 + 2. Let d(x) = -2*x + 1. Let z be d(3). Let n be i(z). Solve 3*s + 5 = -n*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {k: 8, s: 2, x: 3, j: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*x - 9997, 2*x - 5363 = -2*j - 1365. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and -0.01273.\nAnswer: -0.19273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00094897544 rounded to 7 dps?\nAnswer: -0.000949","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 {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/12, -35, -4, 1\/6, 46?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 590 + 2114 = -70*o - 36*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*o - 7, 5*o + 0*k - k - 11 = 0. Let t(x) = x - 8. Let d be t(o). Let l be 2 + -1 - (d - -5). Solve 5*j + 3*q = 10, l*j + 4*q + 45 = 7*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132657069 and 1734.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -855 + 4760.\nAnswer: 3905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -32, 4.6, -1\/2, -119?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -63*a**3 - 9*a**2 - a + 9. What is g(1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -119*u + 47839. Let p(q) = -5*q**2. Give m(p(f)).\nAnswer: 595*f**2 + 47839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**4 - 237*r**3 + 1776*r**2 - 2580*r = 0.\nAnswer: -86, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 31 + 66 = 5*w, -2 = -w + 5*g. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 173152 + 667?\nAnswer: 174041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 15*z - 17. What is a(-7)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2266\/(-309)*54\/(-198). Solve -2\/5*b**t + 24\/5*b - 14 = 0 for b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (260\/1560)\/(2\/(-72))*-34*10\/24?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 788316238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-893420)\/89220) + -12 and -113\/6.\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58\/67 + -1529\/3082. Let i = c + 3\/23. What is the closest to i in 0.4, -0.3, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 109 = 2*m. Let p = -43 + m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -598, -611, -620, -625, -626?\n\"Answer: 2*j**2 - 19*j - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1295*d**2 - 6010*d - 39. Let u(h) = -433*h**2 + 2003*h + 12. Let p(c) = -4*m(c) - 13*u(c). Find the second derivative of p(i) wrt i.\nAnswer: 898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 777 and 631197.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:09 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from sscsssssssccsssssssc?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 - b**5 - 2*b**5 + (58*b + 30*b + 182*b)*(3*b**2 - 5*b**4 - 3*b**2).\nAnswer: -1357*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k = 93 - 329 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 3*r + 1. Let i(q) = q**3 + 2*q**2 + 2*q. Suppose 5*z - 10 = 5*d, -2*z + 5 = 2*d + 1. Calculate z*t(h) - 3*i(h).\nAnswer: -3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*u - 1 + 0 + 365*u + 325*u.\nAnswer: -184*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60038329.\nAnswer: 13, 4618333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*d*l**3 - 5*d*l**2 + 850*d - 23*l**3 wrt l?\nAnswer: 648*d - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)*o\/o**3)\/(o\/o**(-2\/3))**(-7\/3) assuming o is positive.\nAnswer: o**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130138 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2. Let j be c(2). Let u = -5 + j. What is the second derivative of -2*s + u*s**2 + s**2 - 4*s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y = -y + 7*y + 630 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**2 - 1995*x + 2001. Calculate q(-182).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.47225km to meters.\nAnswer: 90472.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83038641 - 83038669 = 4*r - 4*h, 0 = -4*r - 6*h + 52 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 9 = 4*f + 15, -4*d = -2*f + 24 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/2 + 91561*f\/4 + 137337\/4 = 0. Calculate f.\nAnswer: -45779, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q + 5*t - 7, q + 134*t + 18 = 137*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, 29\/12, 1\/441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 73165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180361 is divided by 1209?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - g**2 + g + 1. Let k(i) = 4*i - 3*i - 2*i + 2*i. Let f be k(-1). Determine l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -637 + 528. Suppose 0 = 9*s - 67 + 76. Sort s, h, 1 in ascending order.\nAnswer: h, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8 and 125284.\nAnswer: 225511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 29567 + 2*p + 479*p**2 - 477*p**2.\nAnswer: 2*p**2 - 2*p + 29567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52618, -210550, -473798, -842362, -1316242, -1895438?\n\"Answer: -52658*w**2 + 42*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*f + 2 = 0, f - 3 = -4*l - l. Suppose -3*j + 12 = 3*s, 4*j - l + 3 = 5*s. Suppose -i = -2*z + 103, j*z - i = 3*i + 94. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.036406 hours in milliseconds?\nAnswer: 18131061.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784635?\nAnswer: 5, 356927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4113 + -4082. Solve -53 = 28*w + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*o - 25 = 0, 17 = -0*c + 5*c - 3*o. Suppose 2*t = c*y + 16, 4*t + 6*y - 19 = y. Let d be (-50*t)\/((-3)\/(-570)). Round d to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by (2 - -1)\/(-1)*(-1159)\/57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -749, -1483, -2221, -2963, -3709, -4459?\n\"Answer: -2*v**2 - 728*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*-2*(sqrt(170)\/(sqrt(40)\/sqrt(4)) + -5 + sqrt(272)) + 0).\nAnswer: -240 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 233248 and 1376.\nAnswer: 10029664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050746 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 6*m + 19*m)*(-25*m - 47*m - 14*m - 63*m).\nAnswer: -3129*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 8*u + 3. Let v be f(6). Suppose 2*p - r = -2*r + v, -5*p - 3*r + 398 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74 and -0.12.\nAnswer: 73.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -22*p**2 - 5235*p + 342. Determine d(-238).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 24240*d**2 + 24256*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 30*d - 51*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 7) to base 13\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 0*q - 3*q + (10*q + 8 - 8)*(-8 - 6 + 19))*(-1 + 0 + 2)*(1 - 1 + 2) in the form i + w*q and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 10*b + 16. Let y be a(5). Let r = y + 25. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*z = 0, 0*x + 3*z = 3*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66988 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/43940 and -79\/3347240?\nAnswer: 565683560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:22 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - 5*k**5 + 4*k + (-2*k + 2 - 2)*(4*k**2 - 5*k**4 - 4*k**2).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - 55*h**2 + 18*h - 9. Let v be f(18). Let b(g) = 15*g**3 + 9*g + 13. Let m(d) = 4*d**3 + 2*d + 3. Determine v*m(z) + 2*b(z).\nAnswer: -6*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 + 18 = 5*a, -2*a - j = -8. Suppose -a*v = -13 - 32. Suppose -3*q - 2*q + v = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 - 20*o + 24 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.84 - 0.04. Let g = -0.19 + 0.07. Let p = t + g. Which is the second smallest value? (a) 0.2 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 - 1200?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**2\/l)*l)))**44\/(l\/l**(-2\/9)*l\/l**(4\/9)) assuming l is positive.\nAnswer: l**(380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/2, 36, 10\/3, 0.16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 17) + -36 + 11 + 12\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 18*i**4 + 1380*i**3 - 7942*i**2 - 5752*i - 984 = 0.\nAnswer: -82, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 18776656*l. Let f(z) = -8*z. What is f(p(b))?\nAnswer: -150213248*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*t = 0, -c + 5*c - 5*t = 0. Suppose -r + 2*r - 22 = c. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 682\/54825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*q - 107 - 2273 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 j when three letters picked without replacement from {f: 8, l: 1, j: 5, a: 2, p: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56760\/(-34056)*(-6)\/685?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 0, -37, -110, -231, -412, -665, -1002?\n\"Answer: -2*z**3 + z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + n - 183, -2*n - 55 + 151 = g. What is the highest common factor of 45 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*q - 1836, q + j + 3*j = 918. Is 54 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228017911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113*c**3*n + 5293*c**3 + 8*c**2*n**4 - 3*c wrt n.\nAnswer: -113*c**3 + 32*c**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 + 16138680*t - 451886176 = 0.\nAnswer: -4034698, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7013, -5, -2\/7, -1\/3, -6, 5 in decreasing order.\nAnswer: 7013, 5, -2\/7, -1\/3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 1, x: 4, z: 2}. Give prob of picking 1 z and 1 x.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -21*v**4\/4 - 31*v - 4. What is the derivative of t(o) wrt o?\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-18 + (-1 - -6 - -2) - -4) + -7?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -562196024225.\nAnswer: 562196024225.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + z + 22 = -y, -4*z = 4*y - 68. Suppose -y*s + 14*s = 47. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/((-106)\/(-24009)*151)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 2*g**3 + 0*g**3)*(3 + 2 + 7).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + -101001011?\nAnswer: -101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h - 6. Let m be w(-3). Solve -i + m = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*i**2*l + 2*i**2*y**3 - 2*i**2 - 8*i*l*y**3 - 11*i*y**3 with respect to l.\nAnswer: -10*i**2 - 8*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 + 10020002?\nAnswer: 10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let v(h) = -2807*h + 395. What is u(v(a))?\nAnswer: -2807*a + 395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303*k**5 + k**3*u - 4*k*u + k + 10*u wrt k?\nAnswer: 6060*k**3 + 6*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4826838.\nAnswer: 2, 3, 804473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -540*r + 52. Suppose 13*v - 10*v = 3*i, 5*v + 5*i + 30 = 0. Is 76 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/12)\/((-9205)\/(-3945))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -13*p - 640. Suppose -5*x + 28 = 4*y, 0*x + x + y - 5 = 0. Calculate the greatest common factor of x and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5 + 133*g**4 - 8535*g**3 + 68771*g**2 - 169570*g + 109200 = 0.\nAnswer: -182, 1, 3, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/(-48)*24\/18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2*416\/364*2\/(-28)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16131 + 20\nAnswer: 16151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 14 + 1. Let j be p\/(-18)*5 - 1. Let v be 4\/(-21) + (-1)\/(-3). Which is the nearest to 1? (a) v (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113051534 (base 7) to base 15\nAnswer: -92563e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u + 0)*(-2 + 2 - 5*u) + 194*u**2 + 112*u**2 + 131*u**2.\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-4))\/1*10)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637701850, -637701848, -637701846?\nAnswer: -637701844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18886.998 months to decades.\nAnswer: 157.39165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225*h**2 + 62*h + 3388 with respect to h.\nAnswer: 450*h + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2 - 2)*(19*b - 10*b - 38*b) + (-4 + b**2 + 4)*(5*b - 3*b - 14*b).\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-28) + -10)*8\/12.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4)\/(3\/4). Let f = -10409 - -10409. Which is the third smallest value? (a) q (b) 5 (c) f (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242\/1235 - 4\/95. Sort n, 0.2, -0.04, -5.\nAnswer: -5, -0.04, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 - 1179*d - 5477. Give s(-231).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301087 - (18\/14 + -1 + 510\/(-119)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 805968 and 5307.\nAnswer: 49164048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z = -83*z - 290 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15162 * -3069.7.\nAnswer: -46542791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 18 = 5*a, 120*a = -l + 122*a + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4 + 2519*c**3 - 275*c**2 + 33174*c - 626 wrt c?\nAnswer: -12*c**2 + 15114*c - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + sqrt(102)\/sqrt(6) + 4)**2 + sqrt(17) + 4*sqrt(1700).\nAnswer: 169 + 65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 14 = 3*d, 5*a - 13 = -2*d - 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 6 (b) -91\/2 (c) -4 (d) 3 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -4 (c) 3 (d) 3.2 (e) -0.239\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 - 7*g + 2. Let v = 6 + -3. Suppose 8*z - 35 = v*z. What are the prime factors of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/16 or -1376?\nAnswer: -1376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 154031, 616134, 1386309, 2464556, 3850875?\n\"Answer: 154036*d**2 - 5*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:58 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let m(t) = 685*t. Calculate o(m(j)).\nAnswer: -685*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23.8 or 222317\/4?\nAnswer: 222317\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, 50 in ascending order.\nAnswer: -4, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6 - 58*q - 12 - 6 + 2 + 76*q**2 - 23*q**3. Let w(l) = 47*l**3 - 151*l**2 + 115*l + 43. Let m(t) = -2*w(t) - 5*y(t). Factor m(n).\nAnswer: 3*(n - 2)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4 = j, r - 39 = -2*j - 31 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.5, -5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -498, -994, -1488, -1980, -2470, -2958?\n\"Answer: c**2 - 499*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10441 = -2*a + 4*m + 34223, -4*a - 3*m = -47586. Suppose -5*x = 43105 + a. What is x rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1872)\/(-2)*(-12)\/(-36) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)\/i*i**(-2))**(-41) assuming i is positive.\nAnswer: i**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14690812841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38301, 33130, 27959, 22788?\n\"Answer: -5171*w + 43472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 89*f**2 + 339*f - 136. Give m(-85).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*d + 0*d - 225 = 0, -4*d = -4*x - 148. Let p = 43 + x. Solve a + 6*k + 15 = k, 3 = p*a - k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5*l + 3*d**3*l**2 - 4*d**2*l**2 + 9*d**2 wrt d?\nAnswer: -120*d**2*l + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -42*b + 49 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1312105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19226, -4, 0 in ascending order.\nAnswer: -4, 0, 5, 19226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o = -3*r + 72, -r = -2. Is o + 2*2\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2091997 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 - o**3 + 309*o**2*w - 115*o**2 + o*w + 3682*o + 2*w - 582 wrt o.\nAnswer: -12*o**2 - 6*o + 618*w - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 5, b: 5, c: 3}. Give prob of picking 2 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56416282 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208 + 136. Suppose 2*s + 0*a + 6 = -a, 0 = -3*s - 5*a + 5. Is -8 - s - (2 + c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609795.74 hours in weeks?\nAnswer: 9582.1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81*14\/(-35)*(-165)\/198.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 22*i + 10. Calculate m(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129 + -7?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31178 and -15.\nAnswer: 467670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6607302 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:13 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*a = -0*z + 73, -135 = -2*z - 5*a. Let l = -12040 + 12064. What is the remainder when z is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.71661 to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 1, c: 1, a: 1, i: 1, p: 2}. Give prob of sequence ciqq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*w - 20 = -0*w, -a - 15 = -3*w. Suppose 6*l = 4*l - 2, -5*t + 5*l + 1480 = a. What is the remainder when t is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -8*b + 12*b + 2*t, 0 = 2*b + 4*t - 62. Calculate the remainder when 402 is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -31*i**2. Let f(l) = 2110*l. Determine f(n(y)).\nAnswer: -65410*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 15*f**2 + 12*f + 11. What are the prime factors of y(-8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(10\/(-3) + (966\/36 - 32))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 5*j**6\/3 + 23*j**2\/2 + 31. What is the second derivative of f(y) wrt y?\nAnswer: 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 19576*x - 58692 = 0. What is x?\nAnswer: -4891, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) 600.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:20 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 6*y**2 - y)*(-3*y + 4*y - 4*y).\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 2773279656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (39144*o**2 - 855718 - 3448*o**2 + 855718)*(-4*o + 0*o + 6*o) + (2 + o - 2)*(2 - 2*o**2 - 2) as y + w*o**2 + s*o**3 + u*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/23)*s*s**3*s*(s**(1\/2)*s*s*s)\/s**7*(s**0)**(-1\/39)\/(s**(-2\/13)\/(s**(1\/2)\/s)) assuming s is positive.\nAnswer: s**(371\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/189508 and 55\/657.\nAnswer: 1705572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 13.11, 3.9 in ascending order.\nAnswer: 1\/6, 3.9, 13.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 6*k = -4. Let b be (-4)\/(-22) + (-31)\/(-11). Put -5, k, b in decreasing order.\nAnswer: b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - (1*sqrt(3564)*-1 + sqrt(3564)))\/(3*sqrt(100)*-3).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6415, -23805, -52203, -91603, -141999, -203385, -275755, -359103?\nAnswer: -453423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 - -2 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j. Let x(k) = -3 - 164*k**2 + 3 + 178*k**2. What is x(n(i))?\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 4043?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 383338*f.\nAnswer: -383338*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = z - 20, 0 = 3*z + 2*s + 5 - 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -923*j + 922*j - 6, -j - 4*p + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -4. Let j be (-2)\/(-1)*16\/8. Suppose j*p + 13 = -5*s + 2*p, p + 6 = -2*s. What is the closest to s in -2\/9, u, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 - 224.000099. Round v to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 16. What is r(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*w + 57 = 65*w - 5*c, -2*w - 27*c = 249 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15390 + 15776. What are the prime factors of m?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.13 (b) -1\/4 (c) -2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.80619 minutes to nanoseconds.\nAnswer: 948371400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, 2, 59, 12 in descending order.\nAnswer: 59, 12, 2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, v: 1, d: 2}. What is prob of sequence zm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 127. Give f(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58, -5, -57\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/9 + 568*a**2\/9 - 8162*a\/3 = 0. What is a?\nAnswer: 0, 53, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*l - 173*l - 548 + 551 + l**2.\nAnswer: l**2 - 418*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -191046, -191038, -191018, -190980, -190918, -190826, -190698?\n\"Answer: p**3 + p - 191048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481 + -477. Suppose -2*o + 4 = l*r, 37*r - 5 = 32*r - 3*o. Is r less than or equal to -3\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1 + 5 - 5*(sqrt(19) - 2*sqrt(19)).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/600 - 7*x**5\/150 + x**4\/2 - 12*x**3\/5 - 68*x**2. Suppose u(a) = 0. Calculate a.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 - 69*i + 139*i - 26*i**2 - 64*i + 4 - 4.\nAnswer: -43*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -262099, -524281, -786463, -1048645, -1310827?\n\"Answer: -262182*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20 and -85\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-22)*z\/(z**(-17)\/z*z))\/(z**(-5)\/z)**(2\/69) assuming z is positive.\nAnswer: z**(-88\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.759 * -313.241\nAnswer: 237.749919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbvqfqqqf. Give prob of picking 1 q, 1 f, and 2 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-30) - (-2)\/5. Let s be ((-8)\/(-3))\/((-2)\/3). Let m be s\/(-10) - (-18)\/30. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1110*r**3 - 573.\nAnswer: 3330*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01653 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**3 + 4*t**2 - 5. Let j(a) = a**3 + 2*a**2 + 4. Give 2*j(l) + 2*n(l).\nAnswer: 38*l**3 + 12*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.76975 years in centuries?\nAnswer: 0.6276975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 - 1. Suppose -16 + 4 = -6*d. Let l(m) = d*m**2 + 1337*m - 1337*m. Determine w(l(s)).\nAnswer: -32*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57092 by -3.\nAnswer: 57092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = t + 4*i, -t = -7657*i + 7635*i - 878 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:46 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 - s + 7. Let u(z) = 76*z**2 - z + 40. Let a(x) = -48*x**2 - 20. Let n(o) = -5*a(o) - 3*u(o). Determine -4*n(f) - 11*t(f).\nAnswer: -4*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1742856666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**2 + 7512*c + 55819. Determine t(-319).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13))**(-34) assuming s is positive.\nAnswer: s**(68\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/54 - o**3\/27 + 4*o + 1. Let c(f) be the first derivative of q(f). Solve c(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 2:11 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + d - 5. Let j be f(6). Let z = -2030 + 117737\/58. Let u = 19\/87 + z. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*l - 3*m, 30*l = 34*l - m - 57. Solve 3*j = -4*h + 6, 2*j - 18 = 4*h - l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 326, 750, 1334, 2072, 2958, 3986?\nAnswer: 5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-91) + (-52)\/338 - -38 - 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1055*v**3 + 4. Let d(f) = 3167*f**3 + 11. Give -4*d(b) + 11*l(b).\nAnswer: -1063*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + -3 + 4 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4*y = 65. Suppose y*k = 11*k + 280. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146836581 + 11423*p**2 + 146836581 - 2944*p wrt p.\nAnswer: 22846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 12. What is a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 492772201 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - 24\/((-2)\/13 + (-21330)\/780 + 26).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, -1, 2, 1435 in ascending order.\nAnswer: -1, 2, 3, 20, 1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -34. Suppose 2*h + 3*s = 13, -4*s = -t*h - 2*h - 8. Suppose -27 = -n - h*b + 21, -4*n = 2*b - 210. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 4*g**2 + 10*g - 4. Let r(b) = b. Let l = 3 - -9. Let t = l + -11. Let w(p) = t*u(p) - 12*r(p). Factor w(h).\nAnswer: 2*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*567943.\nAnswer: -113588.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 8. Let x = -45 - -20. Let q = 21 + x. Is d smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -23*h. Let l be w(-1). Let f(r) = -r**2 + 25*r - 33. Let b be f(l). What is the highest common divisor of b and 442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3)*u**(3\/10)*u)\/(u*u\/(u\/(u\/u**0)))**(-4\/9) assuming u is positive.\nAnswer: u**(47\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 12, 2 = -5*j + 3*h. Solve -9 + 11 = j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -6 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -2\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/15 + (-5851)\/(-5). Suppose 2*t = 4*t - 4*x - 1178, 2*t - 2*x = q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56028 divided by -644?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7175*w - 2439493. What is n(-340)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1033, 0.04, -8\/39, 0.\nAnswer: -1033, -8\/39, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 + 32. Let n be i(6). What is the highest common factor of 128 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclsclmslsmchsssmh. What is prob of picking 3 s?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t*t**(-3))**(-29)*t**(3\/2)*t**1*t*t\/t**(-2\/19)*t\/t**(-5) assuming t is positive.\nAnswer: t**(8117\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 + -401.58. Let q = p - 3.577. Let u = 1.847 + q. What is u rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + 15 + (5 - (-10 + -12 + 16)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7537?\nAnswer: 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 1:17 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:00 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348497?\nAnswer: 563, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 + 60 = 0. Let z = -6 + 8. Solve -z*i + b = 2*b - v, i = -5*b + 27 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1638777 or -1638778?\nAnswer: -1638777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let o be h(-1). Suppose 0 = -2*d + 3*d - o. Suppose -d*g + 0 = 4*b - 2, 5*g = 3*b + 31. Solve q - g*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10774, -10639, -10268, -9541, -8338, -6539?\n\"Answer: 20*v**3 - 2*v**2 + v - 10793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12336 and 5\/5384.\nAnswer: 8302128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 8. Let z be 4 - 0\/(4 - 8). Let r be 1*(32\/z)\/1. What are the prime factors of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (-23 - -15) - (-42 - -24)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1479)\/(-357) - (-125)\/(-140)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:15 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from {q: 4, u: 3, g: 6, s: 2, v: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21855.\nAnswer: 3, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86690*a**2 - 110735.\nAnswer: -173380*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24*(-9)\/(-36)*(-2 + -37). Is -234 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 6. Let r be p(-2). Let d = 0.3 + -0.1. Put r, d, 5 in descending order.\nAnswer: 5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Let u(c) = c. Let w be u(2). Factor -n**w - n**3 + 2*n**2 - 2*n**4 + n**f + n**4.\nAnswer: n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463386 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*j + 90 = 131*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270814243.\nAnswer: 17, 74753779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 4. Let f(y) = -4*y**2 - 9*y - 3. Let v(o) = -5*o**2 - 11*o - 3. Let m(n) = -6*f(n) + 5*v(n). Determine -5*d(a) - 6*m(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100 (base 2) to base 15.\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1\/3, 0.03, -1\/251, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5301.999537 - 5302. Round t to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*c**4 - 2*c**4 - 4*c**4 + (6*c**2 - 3*c**2 - 4*c**2)*(0*c**2 - 2*c**2 + 0*c**2).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5175, 10709, 16235, 21753?\nAnswer: 27263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*s**3*w**2 - s**3*w*y + 1339*s**3*y + s**3 + 35*s**2*w**2*y + 2*s*w**2 + 2*s*y - 29*w*y + w - y wrt s.\nAnswer: -174*w**2 - 6*w*y + 8034*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125905?\nAnswer: 5, 11, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*r = -358, -3*q - 17635 + 17364 = 2*q - 3*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 359.75 and -0.125869.\nAnswer: 359.624131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 17 = -23. Let q be (-160)\/(-48)*12\/b. Factor -y**3 + 1\/2 - 1\/2*y**q + 0*y**2 + y.\nAnswer: -(y - 1)*(y + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(760\/(-779)) + 29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/9 + -25\/18. Which is the closest to 0? (a) 1\/3 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -17308736 in decreasing order.\nAnswer: 5, -5, -17308736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edecpeeeeeeieeie. What is prob of picking 1 c and 1 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -4. Let l(c) be the third derivative of 0 + 0*c + 1\/12*c**4 + 3*c**z + 0*c**3. Let i(y) = -2*y. What is i(l(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 470 + 23. Let h = 513 - z. Calculate the smallest common multiple of 28 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 799 and 542145?\nAnswer: 9216465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2874 + -138988\nAnswer: -141862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -4*u**6\/165 - 151*u**5\/110 + 87*u**4\/11 - 449*u**3\/33 + 82*u**2\/11 + 6239*u. Suppose n(l) = 0. Calculate l.\nAnswer: -41, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/3, -617.\nAnswer: -617, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.82 + 3.22. Let l = -19 + 18.8. Which is the closest to m? (a) l (b) 5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-225)*(-15)\/(-6)*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5691935409 and 17079.\nAnswer: 17079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a + 6. Let w(c) = -5*c + 7. Suppose 5*n = -r - 15, 0 = 4*n - 5*r + 2*r + 12. Determine n*w(s) + 4*t(s).\nAnswer: -9*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 10, 2 = 5*q + 3*o + 16. Let a(w) = -8*w**3 - 26*w**2 - 10*w. Let y(n) = 3*n**3 + 9*n**2 + 3*n. Let x(r) = q*a(r) - 11*y(r). Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 - y. Let j(f) = 7*f**3 - 7*f**2 - 5*f. Let d(g) = -10*a(g) + 2*j(g). Factor d(v).\nAnswer: 4*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67125 - 10337293\/154. What is the common denominator of l and -8\/297?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.2615 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Which is the nearest to -0.2? (a) -1 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25982 is divided by 4901.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 68739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 557119*g**4 - 3151260*g?\nAnswer: 6685428*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -1\/6 (c) -11.52 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcj. Give prob of picking 1 t and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10829.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -298211, -596423, -894635, -1192847?\n\"Answer: -298212*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + f - 7. Let w(o) = -11*o**2 - 3*o + 15. Let g(t) = 9*m(t) + 4*w(t). Let a be g(3). Do -4 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2 - 3 - 21\/(-6). Suppose -4*g + 14 + 1 = -5*x, -g + h = -x. Which is smaller: 2\/153 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 2*x + 2*x. Let g = -81 + x. Let c = -13 - g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 35*f**2 - 19*f + 157. Calculate v(-34).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8341.961 to the nearest ten.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (375\/10)\/15*36\/(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.61 - -0.09. What is q rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 4*p + p)*(14 + 31 - 17) + (0 + 0 - 2*p)*(-4 + 3 + 2)*(-6 + 1 - 5))*(p**2 - 5*p**2 + 2*p**2) as d*p**2 + i + c*p**3 + a*p and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 610646*g + 14655216.\nAnswer: (g + 24)*(g + 1221268)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*v + 19, -2*f + 0*v = -3*v. Suppose 0 = -f*b + 4*o + 8, 4*b + o + 2 = -0*o. Solve 2*h + q + 2 = b, -4*q = -5*h + 20 + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*x + 1502698 - 4158696 = 113811478. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25592169?\nAnswer: 3, 23, 421, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 5*q**2 - 6*q. Let j be -3*(1 - (-24)\/(-9)). What is the units digit of f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/10*(-12364)\/(-3653)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 215*l + 17. Let k(q) = -645*q - 47. Calculate 11*i(w) + 4*k(w).\nAnswer: -215*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89074 + 4?\nAnswer: -89070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (-37 + (2 + -26 - -39))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-1)\/(-4))\/1. Let f = 0.12 - 0.12. Let r = f - 2. What is the third smallest value in r, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + 5 + (2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-42)*7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3 and ((-66929)\/239785)\/((-36)\/7)?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 72*q**2 - 180*q - 624.\nAnswer: 3*(q - 4)*(q + 2)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-520)*(-1 - 3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/15 - d**5\/6 - 5*d**4\/12 - 14*d**2 - 10*d. Suppose -5*j = 2 - 7. Let w(f) = -f**3 - f**2 - f. Give j*u(c) - 10*w(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -175*v**3 - 3*v**2 + 2. What is b(-1)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.6. Let h = i - -0.1. Which is the closest to -1? (a) 0.1 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 32174, 2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40671527 - -40671508.99999904. Let t = -69 - -51. Let j = z - t. Round j to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7212 = -37476. Is z a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197?\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3740564656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742577 and 129591.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g - 2*g. Suppose 2*x - 3 = 3*o, 2*o = 2*x + 4 - 12. Solve -5*v + g = -2*v + w, -2*v - 3*w + x = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 2. Let v = -5 - x. What is the least common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssw when three letters picked without replacement from {j: 1, s: 2, w: 5, l: 5, a: 1, i: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubvvvvywyyuuuuuywyv. What is prob of picking 2 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14.44. Let g = 0.4 + v. Let z = g - 0.36. What is the nearest to 0 in z, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 3, r: 1, u: 1, f: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 plus -0.052?\nAnswer: -3.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474627.\nAnswer: 3, 158209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwww when four letters picked without replacement from {x: 1, k: 1, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 3*z**2 - 4*z - 2*z**2 + 6*z**2. Let b(j) = -j + 2. What is b(x) + 2*w(x)?\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*p - 170, 2*l + 31 = -2*p + 145. Solve -26*d - 2*d = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12016734 + 382*m + m**3 + 12016734.\nAnswer: m**3 + 382*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and 83\/8604.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 2 = 0. Which is the smallest value? (a) q (b) -1\/2 (c) -2\/7 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3 - (-3 + -1) - (223 + -80 + -15).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -1)\/((-8)\/(-664)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 80*l**2 + 82*l + 5. Let f be c(-41). Let i(b) = b**2 + 4*b + 4. Let h(d) = 2*d**2 + 7*d + 8. What is f*i(y) - 3*h(y)?\nAnswer: -y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 4)*(-3*i - 3*i + 4*i) - 630*i + 517*i + 1875*i to the form o + l*i and give l.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.04 (c) -34 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7860 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230953.\nAnswer: 41, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, d: 1, b: 1}. Give prob of sequence be.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(175)) + -2*(sqrt(175) + 4))**2.\nAnswer: 2080*sqrt(7) + 11876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-66)\/36) - -30546008. Let u be z\/(-18) - -1 - (-32)\/(-144). What is u rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qgigqqgiqiiiqiqqig.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 845*l**7\/42 + 481*l**6\/3 + 430*l**5 + 940*l**4\/3 - 920*l**3\/3 + 80*l**2 + 70*l - 1. Let u(v) = 0. Calculate v.\nAnswer: -2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 10 + 2 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -32, -44?\n\"Answer: -12*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f\/(f*(f**(-3)*f*f)\/f))*f)**(3\/10)\/(f\/(f**(1\/5)*f))**(-20))**(3\/13) assuming f is positive.\nAnswer: f**(-51\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5612 - 5597. Let q(b) = b**2 - 10*b - 83. Give q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + 5)**2 - (sqrt(405) - (sqrt(405) + (-4*-2*sqrt(405) - sqrt(405)))) - (sqrt(980)*1 - ((sqrt(120)*-1)\/sqrt(6))**2).\nAnswer: 121*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24733320 divided by -6?\nAnswer: 4122220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760*j - 20 = -764*j. Solve 4 = 3*f + t, 2*t = j*f - 3*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(120\/32)*(-29)\/(-2). Let o = 8 + 0. Suppose k = o*a - 30. What is the greatest common divisor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(5103) + (sqrt(5103) - -2*sqrt(5103)) + sqrt(5103))*-3 - (-1 + (sqrt(5103)*2 - sqrt(5103))))*-6*-3 + -3)**2.\nAnswer: -171072*sqrt(7) + 423263353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4617299 centimeters?\nAnswer: 0.000004617299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155\/(-42)*(660\/25)\/(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 264067 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t*t*t\/((t**0\/t)\/t)*t*t\/t**(-1\/4)*t\/t**(-5)*t assuming t is positive.\nAnswer: t**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 1 + 1)*(1012*u + 2*u**2 - 1012*u + 140*u**3) + (u**2 + 2 - 2)*(-3*u**3 + u**3 + 3*u**3).\nAnswer: 421*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -31*j**2\/2 - 3*j - 79. Let x = 2 - 4. What are the prime factors of z(x)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -123*k**2 - 91*k**2 - 96*k**2 + 58*k**2 + 20*k**2. Let h(y) = -25*y. What is h(m(g))?\nAnswer: 5800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255974.1 millennia to decades.\nAnswer: 25597410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*y - h, -3*y + 5*h + 0 = -19. Suppose 9*q + 2 = y*q. Let z(k) = -7*k - 4. Let g be z(q). Calculate the highest common divisor of g and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17797.96 micrograms?\nAnswer: 0.00000001779796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.78 + 1.03. Let f = -0.301 + u. Round f to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 4. Let p be i(5). Let t = p + -4. What are the prime factors of (4 + (t - 1))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(130)\/(1*sqrt(10)))**2*-1 + (((sqrt(26) + sqrt(78)\/sqrt(3))*-1)\/sqrt(2))**2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1557 and 96561.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/7, -0.5, 2\/11, 0 in descending order.\nAnswer: 22\/7, 2\/11, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -235*x**3\/6 + 6*x**2 - 14*x. Let n = 17 - 24. Is i(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 2)*5)**2.\nAnswer: 300*sqrt(3) + 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1025 and -1618.\nAnswer: 1658450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -344, -366?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1151\/62 + 2\/31. Let i = 18 + w. Which is the second biggest value? (a) -7 (b) 4\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108235 or -757654\/7?\nAnswer: -108235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33981 - 33970. Which is the biggest value? (a) 1 (b) n (c) 1.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 464, 453, 442, 431?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -39. Let f = 40 + y. Is f 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 364 and 1722?\nAnswer: 44772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*l**2 - 5537*l + 537447 wrt l.\nAnswer: -82*l - 5537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 44 = 46 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 395511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*18\/24)\/(66\/8)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 + 3*v**2 + 1 - 4*v**2 - 115*v + 12*v**2 to the form l*v + a + u*v**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82 - 959?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkxkkkkxkkkkkxkkkk?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*r - y + 38, -24 = -2*r + 2*y. Suppose -5*h = -24 - 16. Let l be h\/16*r\/10. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4, 4*k + 3*f - 84 = -k. Find the common denominator of 8 + -9 + 119\/k and 121\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 543. Calculate q(-29).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*p + 20, -52*p - 6 = -56*p + 5*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257402277 + 11?\nAnswer: 257402310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13100294 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987504 is divided by 1987443.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -300\/13 at most as big as 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y. Let r(w) be the first derivative of 5*w**2\/2 + 3. Let m(i) = 4*b(i) + 5*r(i). Let n(q) = -3*q**2. Determine n(m(p)).\nAnswer: -243*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:20 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-11)\/(33\/45). Calculate the least common multiple of 20\/t*(69\/(-6) - -4) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 13*f**2 + 31*f - 261. What is the lowest common multiple of 94 and t(-16)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204612 (base 12) to base 16\nAnswer: -35466e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 698588 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 24*s. Let u(c) = -256387*c. What is r(u(b))?\nAnswer: 131468587538*b**2 - 6153288*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 1. Let i(w) = -6*w - 11. Let v(x) = -i(x) + 5*r(x). Suppose -s - 20 = 4*s. Give v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e4 + 0?\nAnswer: 4e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2583)\/(-410))\/9*11\/77*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:42 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {l: 6, q: 2, c: 9}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315 - -314.871. Let x = 0.128818 + k. Round x to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 - -3100?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186.948235 + 186.88. Let h = 0.068 + m. What is h rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74207479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighty-seven fifths of a millennium?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 185431*m + 170 + 560 - 185430*m - 5*m**3 as f*m + y*m**2 + v*m**3 + q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iik when three letters picked without replacement from keqiiqqqkiuueqqu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -22*i. Let x(p) be the second derivative of -p**3\/2 - 21*p - 14. What is k(x(b))?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:24 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4618832 (base 9) to base 3\nAnswer: -11200122221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213183 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 4*u = -17, -4*u = 2*o - 34. Suppose 3*q - o = 58. Suppose 20 = 5*j - q. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c + 192. Give z(0).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:26 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a\/a**(1\/7))*a**(-1\/13)*a\/(a*a*a**5*a))**(2\/27) assuming a is positive.\nAnswer: a**(-724\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 33*w**2 + 17*w + 6. Let z(x) = -100*x**2 - 50*x - 17. Let g(p) = -11*a(p) - 4*z(p). What is the second derivative of g(d) wrt d?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342 or 99050\/289?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.093, -2\/9, 0.3, -0.2?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/16)*b)\/b*(b**19*b)\/b*(b*b**(2\/137))**(-40) assuming b is positive.\nAnswer: b**(-47175\/2192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22.1565105s?\nAnswer: 0.00025644109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6069 - -6327. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w - 1862 + 30*w**2 - 704 - 4*w**2 - 630*w**3 - 29*w**2 + 5*w**2 wrt w?\nAnswer: -3780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/(2\/(-28)). Let k = q - -9. Suppose k*a + 3*a - 65 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -857, 1501, 3859, 6217?\nAnswer: 8575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**7\/1050 - 29*d**6\/600 + 23*d**5\/300 + 137*d**4\/120 + 14*d**3\/5 + 2412*d**2. Determine l so that w(l) = 0.\nAnswer: -1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -4473.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1928 - 2662 = 5*y. Let u = -33 - y. Suppose 3*p - 6*p + u = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/6 + 124*h. Let i(l) = 5*l**2 + 6. Calculate i(q(c)).\nAnswer: 20*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/720 + t**4\/12 - 2*t**2. Let d(b) be the second derivative of o(b). Let h(v) = v. What is d(h(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313210 (base 4) in base 16?\nAnswer: 1de4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**3 - 2*l**2 - 154*l*n + 14*l + 2*n - 7092 with respect to l.\nAnswer: 12*l**2 - 4*l - 154*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*f - 2*p, f - p = 73 - 15. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 869*k**3 + 6*k**2 + 4*k - 21. Let h be t(-5). Let v = 147484 - h. What is v rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2560))\/(sqrt(32)*-6) + 3)**2.\nAnswer: -8*sqrt(5) + 161\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, -0.01, -13, 1\/5, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -1\/270*o**5 - 64\/27*o**3 + 0*o - 4\/27*o**4 - 8*o**2 + 0. Factor h(j).\nAnswer: -2*(j + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 59 = x, 2*m = -0*m + 3*x + 10. Suppose -2*r - 2 = 2*s, -6*s + s = -3*r - m. Let o(j) = 12*j - 2. List the prime factors of o(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from spinlnsp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 29 + -115 - (-1 + -12 + -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-3.625\nAnswer: -0.03625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2. Let d(a) = -41*a. What is d(b(i))?\nAnswer: -287*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 21. What is the second biggest value in 0.2, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*k**5 + 469876*k**4 - 124380292*k**3 + 34378668*k**2 + 85054736*k + 4477456 = 0.\nAnswer: -2\/3, -2\/37, 1, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114384925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlxlllx. Give prob of sequence llll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -0*g - 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 29*c**2 - 2*c + 18. What is the thousands digit of l(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9501893 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b**2 + 4*b + 24. Determine d(-4).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b + -473?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54780, 54777, 54774, 54771, 54768, 54765?\nAnswer: 54762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - 3*j**2 + 4*j**4 + 5*j**2 - 5*j**4 + 2*j as d*j**3 + n + o*j**2 + s*j + y*j**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 5. Let n be (-4)\/(-8) + (-45)\/6. Let d be c(n). Suppose -18 = d*w - 4*s - 74, -5*w - 4*s + 140 = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 25*c**2 - 3*c - 61. Let r be v(-25). Solve -3*t + r - 17 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 780*k - 779*k + 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 - (-7 - -2) - -49. Suppose -24*g + 27*g + 2*k - n = 0, 3*g = 2*k + 32. Let u(r) = r + 22. Calculate the lowest common multiple of g and u(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12881 + -3?\nAnswer: 12877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3414*k**6 + 634*k**2 wrt k?\nAnswer: 409680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m**2 + 405*m + 4. Let a be t(27). Solve 10 = 3*g - p + 21, -g - 11 = -a*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 0)*(2 - 2 - 2 + 14*f) to j + k*f and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4175\/318 - 2\/53. What is the common denominator of (-2 - (-26)\/(-4))\/(-3) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 16*g + 55. Let u be q(-13). Solve -34*v + u = -2*h - 38*v, 5*v + 33 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 22*m - 44. Let i be p(3). Let k(q) = -2*q**2 + 41*q + 65. Let h be k(i). Which is the closest to -7? (a) 0.3 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 16) in base 8?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than 50778.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 6*t. Let p(a) = a**3 - 4*a**2 - 5*a - 3. Let n be p(5). Let z = n + 6. Let v be z - (2 - 1)\/(-1). Determine w(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = -4*j. What is the smallest common multiple of (1 - j)*1\/1 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 136*i + 21. Calculate the remainder when g(29) is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:29 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*t + 10691*c**2*t**3 - c*t**3 - 2*c*t**2 + 21*c - 15 wrt c?\nAnswer: -12*c*t + 21382*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (288\/800)\/((-297)\/(-66))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 5*u**2 + 7*u. Let p = -8 - -5. Let r(h) = 3*h**3 - 2*h**2 + 3*h. Determine p*o(n) + 7*r(n).\nAnswer: 3*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2549 + -1810. Is (z\/1)\/(3\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8293 - 6886. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -9, 0.35, 0.08, -193\/7?\nAnswer: -193\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 a, and 1 g when three letters picked without replacement from {q: 1, m: 1, l: 2, a: 1, k: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgqxtgqxqjqgtxxq. Give prob of picking 1 g and 1 q.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11110000011000001110 (base 2) to base 13\nAnswer: 2861c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179642876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11010110001000101010001 (base 2) to base 5\nAnswer: 3244014120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682093 and 10447?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, -19835700?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1282\/35683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -18*g + 20*g. Suppose 0*c + 65 = -c + 2*t, g*t - 301 = 5*c. What is c rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50994795?\nAnswer: 3, 5, 23, 147811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/30 and 49\/437712.\nAnswer: 2188560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10218 - 5973. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-90)*-5*3\/3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4 - (-19)\/4). Is -4 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1464659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 16*o - 34. Give h(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 11167109?\nAnswer: 11167097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01112 rounded to 4 dps?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 165\/(-154) + (-4)\/(-7). What is the third smallest value in -1, 21, p?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 16843 in descending order.\nAnswer: 16843, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3)*1 + 7 + (-10)\/2. Solve -13*q - 5*g = -16*q + 20, q + 4*g - b = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 17) + -6 + 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-190)\/308 - (-384)\/704). Put 31, d, 5 in ascending order.\nAnswer: d, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**3 - 143*x**2 + 35*x - 390. Let h be p(11). Let s = 0 - 2. Sort h, s, 2, -11.\nAnswer: -11, h, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07668 to 3 dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:13 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4. Let k be y(0). Let q(s) = -s + 6. Let j be q(7). Let h = j + k. What is the remainder when 4 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diz when three letters picked without replacement from dizzddddidddzzzdz?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 2, z: 4, f: 7, n: 5}. Give prob of picking 1 x and 1 g.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954023519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10)*(-4)\/(-9).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -817*w**2 - 1269*w + 2022*w - 1325*w wrt w.\nAnswer: -1634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37441, 37456, 37471, 37486?\n\"Answer: 15*l + 37426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5591532 and 13\/1803720?\nAnswer: 55915320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1026\/(-144) + 7)\/(14\/8).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67216 - -136539. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 5 - 5)*(166*t + 160*t - 297*t)*(2 - 2 - 2*t) in the form a*t + z + x*t**2 + i*t**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10512000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12316a + -2?\nAnswer: -12316c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 239?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 37 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41555*g**2 - 22665*g + 1 wrt g.\nAnswer: 83110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 491\/343 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 - 4*a - 5. Let m(w) = -w - 1. Let f(h) = i(h) - 6*m(h). Let b be f(-1). Solve b*d + 10 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -62, -98, -168, -284?\n\"Answer: -2*v**3 + v**2 - 3*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 64 - 57 = 2*t, -2*t = -2*m + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014928 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 207*y**2 + 15*y**2 - 8 - 6.\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -24. Let r = a - -26.8. What is the nearest to -1 in r, 2\/11, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 2\/13, -3, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 6) to base 2\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(((-3)\/1)\/(6\/25)). Suppose x = -0*x + 3. Which is the second smallest value? (a) x (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + -0.79. Let t = -5.08 + 5. Let k = t + -3.92. Put -3, c, k in ascending order.\nAnswer: k, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244\/175 - 42\/25. Let d = m - 31\/14. Let s be (-1)\/((30\/9)\/2). Which is the closest to -1? (a) d (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95000 and 3496?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -11. Let v be -3 + 3 - (-2 - z). Let r = 0.1 + -0.5. What is the second smallest value in v, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375735 is divided by 1351.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 2*b - 3*b - 2*b - 341 + 174 + 184 + (-2*b - 2 + 2)*(2 - 3 + 3))*(6 + 3 - 5) to the form j + o*b and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 7*x**2 - 2. Let y be z(-7). Is 40 a factor of 250 + (-5 - (y + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128.57 + 128.67. Sort -0.01, v, 32 in descending order.\nAnswer: 32, v, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:43 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*n + 34, -89*n = y - 86*n + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 31. Let r be n(13). Let v be 1\/(r\/15) + 5. Solve -w - v = 4*c, -2*c + w = -c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244671363?\nAnswer: 3, 223, 121909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152397511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-44 - (-47 + -48))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 49. Let n(o) = 2*o**2 + 6*o + 13. Let f be n(a). Let w = f - 35. What is the highest common divisor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 151 - (-1 + 6 + -2). Suppose 40 - q = -9*u. What is the remainder when u is divided by (-28)\/(-6) - (-2)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42755777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*o = -355959 + 342309 for o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2886261.\nAnswer: 3, 7, 167, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-0.0273672.\nAnswer: -1.2041568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*a = -35 + 146, 10 = 2*a. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22015, 0, -0.4, 7?\nAnswer: -22015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 92 = 7*h. Suppose 2*j = -2*m - 12, 0 = 2*m + 2*m + j + 21. Let q = m + 5. Solve -x - x + h = q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0335 - 0.1135. Which is the closest to -3? (a) 4 (b) -32 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 19, 11, 1?\n\"Answer: -w**2 - 3*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7602423 and 2211?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -8, -16358, -5, 3.\nAnswer: -16358, -8, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5841 is divided by 837.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 407161481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 455 + 1a33?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p + 5. Let c be k(6). Let u = c + 3. Suppose u*g - 19 = 11. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514 + (2\/4 - 28\/56).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 225 = -3*y. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 11\/5 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574 and 11.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398.5329 millilitres to litres.\nAnswer: 0.3985329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 26 = -4*h - 4*v, h - 5*v + 22 = 0. Let q(f) = -f**2 + 3*f + 1. Let o be q(h). Let s = -1 + o. Solve 0 = -5*u - s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 253*z = -258*z + 10049, 4*a - 2*z - 20038 = 0. What is a rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-10 + (-5968)\/(-744)))*3.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 46 + -7 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1112, 1119, 1136, 1169, 1224, 1307, 1424, 1581?\n\"Answer: u**3 - u**2 + 3*u + 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(30)\/sqrt(5) - sqrt(6))\/((sqrt(16) - -3*sqrt(16))\/sqrt(8)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 312\/65*12\/(-18)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0664, 3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2075493 and 592998?\nAnswer: 4150986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + x - 12*x + 20*x + 4*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 21*a - 141. Calculate the lowest common multiple of g(9) and (-4097)\/(-68) - (-2)\/(-8).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/23 - -247\/46. Let h be 180\/(-135)*-6*(-2)\/(-8). Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2784.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f + 1. Let r(x) = 4*x**3 + x**2 - 5. Let b(d) = -3*j(d) - r(d). Suppose 3*z = -0*z + 3*h, -14 = 2*z + 5*h. Calculate b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*b = 6 + 1, 0 = -4*l - 5*b + 11. Suppose 2*z - 37 = -2*d + 5*d, -2*d - 70 = -l*z. What is the remainder when 63 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 + 55 + 3*b**2 + (-3*b + b - b)*((-1 + 3 - 1)*(-3 - 1 + 1) - 4 + 3 + 2 - 4 - 4 + 5)*(2*b - b + 0*b).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 10, 2\/9, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 212, -2\/5, 47?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1137066 = -55*o + 68589. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10078830?\nAnswer: 2, 3, 5, 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 8. Let y be o(5). Suppose -m - 3*m + 31 = y*j, m + 21 = 5*j. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 47*s + 840. Let a be f(28). What is the highest common factor of 1100 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13361 + -13356. Let f(i) = 2*i**2 - 3*i - 15. Give f(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 604\/1009?\nAnswer: 604\/1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:57 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2) + 0 + -1. Suppose 2*o + k = 7. Suppose n + 25 = p - o*n, -5*p + 91 = -3*n. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7. Let l = 1.2 + f. Which is the nearest to 1\/2? (a) l (b) -1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219680000 = 95*z - 103*z. Round z to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17444 + 17445. What is the nearest to 2 in g, 0.05, -24, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 111. Is b > 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkskckqgqkkkqgkcg. What is prob of sequence qgc?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.788874 minus 161?\nAnswer: -154.211126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - -2) + -1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v*v)\/(v\/(v**(-1)\/v))*v**(-1\/2)*v**4*(v**(13\/4))**(-42) assuming v is positive.\nAnswer: v**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -0.6849*0.08\nAnswer: -0.054792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*-3 + 2*sqrt(76)*2)\/((sqrt(484) - 4*-3*sqrt(484))*-3))**2.\nAnswer: 475\/184041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-4))\/((-14)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxddxqq. What is prob of picking 1 x and 1 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -1\/4, -5, -9, -2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**2 - 20*u**2 + 3*u + 34*u**2)*(-2*u**2 + 3*u**2 - 2*u**2).\nAnswer: 6*u**4 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.48 - -0.48. Let x(j) = -j**3 + 13*j**2 - 2*j + 30. Let v be x(13). What is the second biggest value in s, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 15*c = 4*x + 22684, -18140 = -4*c - 4*x. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 0*y**5 + 0*y**5 + (14 - 14 + 2*y**4)*(-y - y + 0*y - 36).\nAnswer: -5*y**5 - 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(2736) + 1) + 2))**2.\nAnswer: 1440*sqrt(19) + 98596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9126 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(1\/78)*w**(-7)\/(((w\/(w\/(w\/w**(2\/21))))\/w)\/w)*(w*((w\/(w*w*w\/w**(-1)))\/w)\/w)**(-2\/37)\/(w\/(w*w**(1\/4)))**(-23\/3) assuming w is positive.\nAnswer: w**(-7879\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -157*h**2 + 499*h + 36. What is o(4)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/68557 or 0?\nAnswer: -21\/68557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -512*k**2 - 330759*k - 4518. What is z(-646)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - (-3357)\/(-12). Suppose 2*p - 24 = -4*j, 28*j - 30*j = -5*p + 84. Does 16 divide ((-32)\/5)\/(p\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**3 - 22*s**3 - 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38190 times -0.1\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (1 - -5) - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dder when four letters picked without replacement from hdeddpduphhprup?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 9, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -2049, -6297, -14209, -26919, -45561, -71269, -105177?\nAnswer: -148419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 303 = 4*r + 3*r - 6*r - 331, 10*r = -4*b + 64 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 138 and 138 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34061023 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.17274? (a) -2\/3 (b) -40 (c) 2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -322. Let j(i) = -19*i**3 + 6*i**2 - 6. Let z(v) = 286*v**3 - 91*v**2 + 91. Let r be 1\/((-7 - 6)\/(-78)). Determine b*j(u) + r*z(u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*i - 75*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 217978.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 divided by 11?\nAnswer: 1252\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7954 - -0.753. What is a rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-174)\/(-4)*8\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 10976*d + 10978*d - 14*d**2 + (0*d + d - 3*d)*(d + 1 + d + 0).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*d + 19 = 2*d + 4, -i + 5*d + 83 = 64 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110108 is divided by 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*25990\nAnswer: 77970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 - 22*l - 26. Let v be o(-3). Which is the biggest value? (a) 3 (b) 1 (c) v (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 1, v: 2, f: 2, n: 1}. What is prob of picking 1 v, 1 f, 1 w, and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = 4*w, 5*w - q = q + 16. Suppose -w*i - 2 + 8 = 0. Let y(t) = t**2 - 2. What are the prime factors of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 110 = -t - y, 3*t - 126 = 3*y. Let z = 19 - 12. Let g = 3 + z. What is the remainder when t is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20350440*v**4 - 3*v**3 + 185186631*v**2 wrt v?\nAnswer: 488410560*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.52 + -8.82. Let u = a + 8.29899. What is u rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 - 100100110101000?\nAnswer: -100100111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1024838.0470033 - 1024838. Let n = d - 0.047. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20295*r + 20302*r = 15171 + 50216. Is 163 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-10)*20\/8. Find the third derivative of 19*x**f + 0*x**4 - 20*x**2 - x**4 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -205 - -384?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/((w*w**(-9))\/w)*w))\/(w*w*w**0\/w))**(-10\/13) assuming w is positive.\nAnswer: w**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4771 - 4770. Which is smaller: z or -7\/1408?\nAnswer: -7\/1408","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + q + 2*q - 8*q + 1. Let x(w) = 5*w - 2. Let n(l) = 2*l. Let i be n(7). Give i*u(s) + 6*x(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*a - 5, -4*a + 3*a + 2*u - 1 = 0. Let b be ((-78)\/75 - a) + -4. What is the third smallest value in b, -1\/4, 1\/9, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04331 rounded to 3 dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -20.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336068.\nAnswer: 2, 3, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + (3 - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 581699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*z + 10*z. Suppose -2*g - z*g = 0. Solve g = p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + a)*(a**2 + 10*a**2 - 2*a**2)*(-2*a + 2*a**2 + 2*a).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2)*4)\/(0 - 2). Differentiate -l**3 + u*l**3 - 1 + 13*l**3 with respect to l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20, 3, -2\/11, -134, 5, -27?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2\/2 + 7*q - 1. Let k be y(-5). What is the third derivative of c**3 + 0*c**3 + c**3 + k*c**2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 11*a + 1. Give z(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*w**4 + 15*w**4 + 67*w**3 - 67*w**3 + 16*w wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 1 - 3)*(0 - 34 - 5) to the form w + f*s and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - r**2 - r - 3. Let t(z) = -15*z**4 - 6*z**3 - 8*z**2 + 3*z + 1132. Let s(y) = t(y) + 3*x(y). What is the first derivative of s(j) wrt j?\nAnswer: -60*j**3 - 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 90. Let m be s(30). Suppose -2*n = -3*v + 58 + 96, n + 2 = m. Solve v*l - 8 = 48*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -1872, -6677, -16244, -32211?\nAnswer: -56216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19 - 52*m - 14 + 6*m**2 + 12. Let n be h(9). Solve -29*g + n*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*v**3*z**3 - 95*v**3*z - 2*v**2*z**2 wrt z?\nAnswer: 1128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -0.1 (c) 1\/97 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 3. Let i be c(-3). Let a = 250 + 88. Is i*(a\/3 + 11\/33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/36 - 1630\/(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0956 + -17.0956. Which is smaller: 9\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:12 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1952*q = 5876 - 38991 + 230267 for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0 + 2*u**2 + 1\/20*u**5 - 3*u - 2\/3*u**4 - u**3. Is d(9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 9.3488 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/19, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/((-5)\/25). Let z be 9\/1*(r - -4). Let j be (z\/(-6))\/((-6)\/(-20)). Solve 11 = j*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 72. Suppose d*q = 2*q + 27. Let i = 8 + 3. Sort q, 5, i.\nAnswer: q, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.6. Which is the nearest to 0.2? (a) 0 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 1. Determine r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -18. Suppose -2*x = 3*m - 8, -2*x - 3 = 7. What is the lowest common multiple of m and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4969, -5010, -5059, -5116, -5181, -5254?\n\"Answer: -4*d**2 - 29*d - 4936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 13. Find the third derivative of 270*c - w*c**4 - 270*c + 3*c**2 wrt c.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (78 - 163) + 74.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 39062*j**2. Let w(z) = 3*z**2. Determine k(w(q)).\nAnswer: 351558*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*d - 2*n = 92*d - 7, 0 = -d - 3*n + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*s - 14, -4*y + 2*y + s + 10 = 0. Suppose 24*j + 2775 = y*l + 29*j, l - 905 = 5*j. List the prime factors of l.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 33 + 9 = -4*h, -h = -6. Let o = -149 - -2681\/18. Is o less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1296799383 and 0.58.\nAnswer: -1296799382.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(22*-3*561\/5049)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/5 + 199*h**2\/5 - 261*h\/5 + 13.\nAnswer: -(h - 65)*(h - 1)*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*f = -4*b + 263, f - 105 = -2*b. Suppose -b*x + 57*x = -360. Let s = x + 153. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*b + 4, 1 = 2*b + h - 4*h. Suppose -6*v + 27 = -3*v. Let t be (-2)\/(-8) - 3\/(-4). Solve t = -b*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -30313111302?\nAnswer: 30313112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39941 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5 + 3. Let w = 16 + -11. Solve v = w*p + 5, 0*v - 5*v + m*p = -25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 p, and 1 s when four letters picked without replacement from {j: 8, p: 3, y: 3, s: 2, o: 1, k: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let g be (-6)\/(-4) + (-15)\/(-30). Let i(k) = -2*k**2 - 8*k**2 + 0*k**g + 8*k**2. Calculate i(d(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 34 = -4*l. Suppose 5*x - 5*m = -15, -4*x - l = 3*m + 11. Calculate the common denominator of -18\/5 and x\/6 - 187\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 12*u - 5. Let d be h(-3). What is the derivative of -14 - 23*n**4 + 6*n**2 + 0 + 22*n**d wrt n?\nAnswer: -4*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 2*r - 1. Let p be i(-1). Suppose 4*t + 9 = -3. Let v = p + t. Solve -v = q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 - 3*a - 3. Let j(y) = -2*y**2 + y - 3. Let i(v) = 1. Let k(l) = -6*i(l) - j(l). Calculate the remainder when k(-3) is divided by o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23946.34, 0.11, 1 in increasing order.\nAnswer: -23946.34, 0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1213 - -1210. Is -10 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m + 1. Let d(h) = -2*h**2 - 2*h + 8. Determine d(w) - 3*r(w).\nAnswer: w**2 + w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t)\/(t\/(t\/(t\/(t*t**4*t)))))\/(t**(2\/7))**(4\/23) assuming t is positive.\nAnswer: t**(1280\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -476, -1095, -1718, -2345, -2976?\n\"Answer: -2*w**2 - 613*w + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 3\/4, 140 in descending order.\nAnswer: 140, 3\/4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 + 8\/(-36). Is -7 + (o - -167) + (0 - 1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.545 and 5776.\nAnswer: 5777.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose 4*m = -w + 6, 3*m + 9 = -l*w + 5. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - y + 324, -5*u = -y + 398 + 412. Let x = u + 177. Calculate the remainder when 176 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 74169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 5. Let y be f(4). Let w be (y\/2)\/(45\/(-12)). Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/207 and -75\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 292308*b + 10680495858 = 0.\nAnswer: 73077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -5*m**2\/2 - m - 58. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(2\/3))\/(k**(-3)*k))\/((k\/k**0*k)\/(k*k**(-2\/17))))**10 assuming k is positive.\nAnswer: k**(1130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8856794 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 5*u + 5. Let p be 3\/2*20\/6. Let x(o) = -2*o**2 - 4*o - 4. Let t(f) = p*x(f) + 4*m(f). Let i(l) = 9*l. What is t(i(s))?\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377831611?\nAnswer: 89, 1871, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -2583, 1\/804?\nAnswer: 1\/804","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32386179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6a6 (base 12) to base 10\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/520450700 and -3\/20.\nAnswer: 520450700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 6514 + 6514.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 25 = -2*r, -6*a - 4*r = -3*a + 15. Is -8 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 + 0*p**2 - 4*p**2)*(-3 - 7 + 16) + p**2 - p + p.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 12, x: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -12, -7 in decreasing order.\nAnswer: -2\/5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11604, 23206, 34808, 46410, 58012?\nAnswer: 69614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbpplbpbbpbl. What is prob of sequence bl?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.92 + -4.92. What is the second smallest value in 5, q, 6\/77?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/8))\/l**(-2\/17)*(l*l**14)\/(l**(-3\/7)\/l) assuming l is positive.\nAnswer: l**(16347\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/27 (b) 5 (c) 2 (d) 66184.4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**13*m)*m*m*m\/(m*m**(2\/69))*m**(-15)*m**(2\/9) assuming m is positive.\nAnswer: m**(-5342\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12. Which is the biggest value? (a) -3 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11651\/(-382) + (-96)\/(-4)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 74 + 41*g)*(6*g**3 + g**2 - 12*g**3 + 8*g**3) + 5*g**4 - 2*g**4 - g**4.\nAnswer: 84*g**4 + 41*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3*19*(-27)\/(-44460)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47066 + 3901?\nAnswer: 50967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/216 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3852854 to two dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-62 - -30) + (-5 + 1 - -5) + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*s - 428*s + 1042 = -1422. Solve -s*o + 568 = 39*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 = -4*r - 36, -5*v - 18 = r. Let k = r + 6. Is (-2)\/k - 4098\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 3)*(-1 + 0 + 2) + 5272 + 633 + 10354)*(-w + 0 + 0) to i + k*w and give k.\nAnswer: -16258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - 9*x**2 + 7*x**2 - 6*x**2 + 5*x**3 in the form b + t*x + d*x**3 + v*x**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 6*g**2 + 5*g - 9. Let i(j) = 4*j - 83. Let r be i(22). What is the units digit of x(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68856, 41338, -4516, -68700, -151208, -252034, -371172?\nAnswer: -508616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - h - c = 9, 0 = 5*c + 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 83, 2, -2 in decreasing order.\nAnswer: 83, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3758.11 and 41986.\nAnswer: 45744.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -219*k**5 + k**4\/2 - 66*k**2 + 17*k + 9319. What is the second derivative of y(t) wrt t?\nAnswer: -13140*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86784 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112747216 + -4?\nAnswer: -112747222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1.11003664?\nAnswer: -5.11003664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1134 and 126?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s + s**2)*(-4 + 4 - 2*s**2) + s**4 - 2*s**4 - 23*s + 18*s + s - 2*s**4 - s as d*s**4 + b*s**2 + u*s**3 + c + n*s and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -42, -24, -8, 6?\n\"Answer: -b**2 + 23*b - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 844603804 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - (1 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/((-1)\/31). Let h = v - -90. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 56 + 107)*(-8*x**3 + 10*x**3 - 20*x**3) in the form y*x**2 + p*x**3 + o*x + f and give p.\nAnswer: -2790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - (-4 - -2). Suppose n*y - 12 = -y. Factor 3*z**y + 14*z + 0*z**2 + 3*z**2 + z**4 - 13*z.\nAnswer: z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 41. What is v(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*c**3 - 55*c**2 - 4*c**2 - 38*c**3 - c**3.\nAnswer: -c**3 - 59*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2901, 1086, -6.\nAnswer: -2901, -6, 1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 162281847.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 1. Let q be 24*(-3 + 7\/2). Let o(d) = -14*d**2 - 18*d - 16. Let x(y) = q*z(y) - o(y). Let x(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1261)\/(-52) - 3\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19258, 19240, 19216, 19186?\n\"Answer: -3*q**2 - 9*q + 19270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -39 - 2*u + 0*u + 3*u + 0*u. Let f be p(19). Is ((-115)\/f)\/((-1)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**5\/30 + 3*h**3 + h**2 - 24*h + 52. Let a(x) be the second derivative of o(x). Factor a(f).\nAnswer: -2*(f - 3)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2361\/10 + 226. Let z = -24539\/9 + 2723. What is the common denominator of o and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-6090)\/(-320) - (-33)\/(-11).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5023452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8441901 and 1053.\nAnswer: 8441901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 + 3*k + 2*k**3 - 402*k**2 - 2*k**4 + 58 + 20*k**4 - 19*k**4 to the form y + a*k**2 + m*k**4 + o*k + f*k**3 and give a.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936251030 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 20*q + 7*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 255\/35 - (-2)\/(-7). Let m be ((-16)\/(-14))\/(2\/u). Solve -m*c + 2*c - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 59*c**2 - 8*c**3 - 69*c**2 + 3*c**3 - 5*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755084045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1809 or -1466?\nAnswer: -1809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.06549 * -5\nAnswer: 0.32745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2. Let y be b(0). Let z(s) = -s**3 - s**2 - 1. Let i(o) = -10*o**3 - 10*o**2 - 2*o - 12. Let v(d) = -i(d) + 12*z(d). Calculate v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 32*h**2 + 3*h - 12. Let c be p(32). Factor -32 + 14*m**4 - c*m**2 - 28*m**4 + 10*m**4 + 32*m**3 + 88*m.\nAnswer: -4*(m - 4)*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + -2 + 3)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58099652033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3b4a (base 12) to base 3\nAnswer: -100100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35390 + 84.229.\nAnswer: -35305.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q + 164. Calculate i(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*l - 71181*v + 71176*v, 0 = -12*l - v + 29 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76 and 35449067778.\nAnswer: 35449067854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*a - 2 - 134, 0 = 5*a + 5*j - 180. Let p(i) = -120*i + 2972. Let b be p(25). Let q = b + a. Calculate the lowest common multiple of q and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 s when four letters picked without replacement from ssjrsxxrxusrr.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*(-40)\/(-96)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -42 (b) 2 (c) -251 (d) 1\/4 (e) 86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**4 + 15*c**3 - 34*c**2 - 7. Let z(s) = -2*s**4 - 8*s**3 + 16*s**2 + 3. Let g(w) = -3*p(w) - 7*z(w). Factor g(d).\nAnswer: -d**2*(d - 10)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/6 - ((-140)\/15)\/14. Suppose -x*i - 12167 = -30*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314\/1413 + (-29)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/12, 2, 0, 0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s - 5*s + 22*s - 4 + (-3 + 0 - 5)*(0 + 3 - 2)*(2*s - s + s).\nAnswer: -4*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2733 - 49181\/18. Calculate the common denominator of w and 149\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -61621 - t + 61621. Suppose 6*y = 3*y + 12. Let p(o) = -34*o - y*o**2 + 34*o. Determine p(c(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/9 (b) -3\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 24 = -30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2. Let q(j) = j**3 + 2*j**2 - j - 1. Let p(b) = 3*b**3 + 4*b**2 - 2*b - 11. Let u(h) = p(h) - 2*q(h). Calculate 11*f(c) - 2*u(c).\nAnswer: -2*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 5 - -16) + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Let g = -25.29 + 0.19. Let w = 25.2 + g. What is the nearest to w in 0.5, 2\/15, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 3. Let i(v) = 4*v - 2. Let r(s) = 5*h(s) - 6*i(s). What is the lowest common multiple of r(6) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 41. Let r be g(-9). Let i = r - 83. What is the units digit of -3*(-20 - i)*1*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d + d**3 + d**2 - 4*d**2 + 16*d. Give z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -49. Let o(g) = -2*g**2 + 28*g + 21. What is the remainder when o(12) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/420 - 11*k**5\/105 - 23*k**4\/84 - 2*k**2 + 3. Factor o(s).\nAnswer: 2*s*(s - 23)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84318 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from evbldwbew.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/24 and -19\/357963?\nAnswer: 2863704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -84*t**4 - 35*t**3 - 35*t**2 - 35*t - 119. Let w(u) = -5*u**4 - 2*u**3 - 2*u**2 - 2*u - 7. Let l(z) = 4*m(z) - 70*w(z). Differentiate l(p) wrt p.\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 74 = 6*i - 78, 3*v + 3*i = 42. Suppose -1440 = -2*s - 2*s. Calculate the greatest common factor of s and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816 = -10*k - 173*k - 1197 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587477 is divided by 3137?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let c(z) = -z**2 + 7*z + 15. Let w be c(7). Is (-1158)\/(-15) - m\/w 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 yjuuuddurjdr. What is prob of sequence yj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 13*i + 221. Is l(66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -651526 (base 7) to base 12\nAnswer: -557a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.3. What is the nearest to 2\/5 in -2, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfpb when four letters picked without replacement from {l: 2, f: 1, b: 2, w: 1, o: 1, p: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)**(23\/4)\/((n*n**(-8)*n)\/(n*n**(2\/3))))**(12\/7) assuming n is positive.\nAnswer: n**(299\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3009233 rounded to 3 dps?\nAnswer: 0.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12\/j**(1\/31))\/(j**46*j**43*j) assuming j is positive.\nAnswer: j**(-2419\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/3))**(-35)\/(l**6*l\/((l**(2\/3)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569613 is divided by 1495?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from sssosssyqqqsoosoos.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-4 - 0)\/(-2). Suppose -n - 4 = -3*y + 6, 2*n = 2*y - o. What is the lowest common multiple of 7 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) 4 (c) 27.4 (d) 11 (e) 119\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 - -219.7. Let n = j + 30.3. Let k = -22 + 25. Which is the biggest value? (a) n (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27636916 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + (-625)\/(-15). Let x = j - 22. Let u = x - 10. Solve -4*b = -b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 75 = -0*o + 4*b, 0 = o + b - 66. Factor -o + 110*x**2 - 158 - 22 - 54*x - 113*x**2.\nAnswer: -3*(x + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -93*p + 16. What is the remainder when k(-2) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 6*q**2 + 7. Let j be o(-6). Let x be (-4)\/12*6\/(-4)*0. What is the first derivative of x*p - j*p + 0 + 4 wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = 7*j - 80, -35 = 214*j - 218*j + 5*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zncin. Give prob of picking 1 n and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + v**4 - 2*v**4)*(-v + 0*v + 0*v + (2*v - 4*v + 0*v)*(2 + 1 - 2)).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*b**3 + b - 150*b**3 - b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22836*3\nAnswer: -68508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4156, 2528 in ascending order.\nAnswer: -0.5, 2528, 4156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 7:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28481153 and 1372921?\nAnswer: 29854074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -1, -86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1529, 1524, 1509, 1478, 1425, 1344, 1229, 1074?\n\"Answer: -b**3 + b**2 - b + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 10. Let z = w - -9. Let b(t) = -9*t - 2. List the prime factors of b(z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 i when three letters picked without replacement from qnaqdnaaiiiqd?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -36*b**3 + 4*b - 108*b**3 + 0 - 35*b**3 + 3*b**2 + 2. Suppose 4*f = -387 + 383. What are the prime factors of l(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 48*m**2 + 32*m - 67. Does 7 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1114600457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)\/b**(-8))**4 assuming b is positive.\nAnswer: b**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66797902033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2333816.99938 + -2333790. Let s = -23 + 50. Let z = n - s. Round z to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010001211020 + -1200?\nAnswer: 10010001202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 574481*u + 493980.\nAnswer: 574481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/495*(-60)\/(-126)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -12696?\nAnswer: 660192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63454, -63453, -63442, -63415, -63366?\n\"Answer: m**3 - m**2 - 3*m - 63451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 571990 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 17, -6, -1, -170 in descending order.\nAnswer: 17, 5, -1, -3, -6, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.46 + -2.52. Let j = z - -18.980811. What is j rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6209, 6195, 6183, 6173, 6165?\nAnswer: 6159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6448650478549 - -1.3\nAnswer: 6448650478550.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 + 62. Suppose -6*h + 2*t + 323 = -h, 0 = -5*h + 5*t + o. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -3 - 86\/(-44). Let r = 0.6 - 0.7. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y + 8. Let m(n) = 14*n - 21 + 13 + 20. Let t(u) = 5*m(u) - 8*p(u). Determine t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/5 + 68*i**2\/5 - 72*i\/5.\nAnswer: 4*i*(i - 1)*(i + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -16*l + 267 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255298474.\nAnswer: 2, 2861, 44617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-9)\/6*-2. Suppose -g + 8 - 3 = d, -3*d - 4*g = -20. Sort r, d, 4.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1968\/392)\/((-1)\/7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2 - 1.2. Let n = -9 + g. Let s = 7 + n. What is the nearest to -3 in s, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/5)\/u)\/(u*u*u\/u**(-24\/5)))\/(u**35)**(-32) assuming u is positive.\nAnswer: u**(5562\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 37.05. Which is the closest to -1\/7? (a) 0.2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i + 27*i - 4*i**3)*(4*i - i - 2*i + 0*i - i + 0*i - i + 3*i - i + (-i + 2 - 2)*(1 - 3 + 0) + 2*i - 2*i + i + 10*i + 337 - 337).\nAnswer: -56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 - 4*j**3 + 6*j + 49 + 60 + 2*j**2 + j**3 - 2*j**4 to the form z*j**2 + u*j**4 + y*j**3 + a*j + d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24 = 4*m, -3 - 5 = 2*m + 3*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561039 divided by -23.\nAnswer: -24393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twttwti. What is prob of picking 1 w, 1 i, and 2 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncpkpgn. Give prob of sequence nnkc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608647 minus 7582237?\nAnswer: -4973590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/4 (c) 11\/74 (d) 2.9 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 33\/(528\/64)*3\/(-8)*-30\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 2*d - 11*d - 76 = 0, -2*z - 4*d - 26 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22686046972 less than 0.4?\nAnswer: -22686046971.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11706635 rounded to four decimal places?\nAnswer: 0.1171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014900650?\nAnswer: 2, 5, 20298013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t - 1118*t**3 + 1121*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least 8194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 5 - 2 - 4 - 2*n + 2*n - n + (-143*n - 4 + 4)*(2 - 1 - 3) + (3 - 4 + 3)*(2 - n - 2) to the form l + m*n and give m.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 637*i - 520*i + 117. What is the nearest to i in -30, -1\/6, -5, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 1. Let q be x(1). Let g = 2 - 1. Suppose 5*i - q*m = 8, m + 4 = 2*i + g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/120 + n**5\/20 - n**2\/2 - 2. Let g(w) be the second derivative of h(w). Find the third derivative of g(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2472 and 36.\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 20*q - 6*q - 4*q - 10*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r**2 - 14*r**4 - r**3 - 5*r - 3*r**4 - 18*r**2 in the form c*r + j + y*r**4 + h*r**2 + o*r**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-7)\/(-70)*-2*14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 2}. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19. Suppose -k*c + 3*c + 95 = 0. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5607389mm to centimeters.\nAnswer: 0.05607389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-2597*i**2 + 5174*i**2 - 28*i - 2594*i**2).\nAnswer: -34*i**2 - 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4706361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 139*0.5379\nAnswer: 74.7681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*r - 12*r. Suppose 2*c = -c + m + 196, 340 = r*c + m. Let d = -39 + c. Calculate the highest common divisor of d and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxcutttctcctx. What is prob of sequence uccx?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 5*n. Let g(p) = -21*p**2 - 49*p. Determine 49*c(u) + 5*g(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmecummue. What is prob of picking 1 u and 2 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3 - 18 + 5 - 2*v. Let m be b(-9). Suppose o = 2*l + 10, -2*l - 3*l = m*o + 25. Solve o*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 11*t**3 - 4*t**2 + 1715064*t - 1715048*t + 1 to l + d*t**2 + u*t**3 + s*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18962 = -337*q + 1438 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*z = -2*z - 15, -4 = a + z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101453023 (base 6) to base 13\nAnswer: -49a1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 51.019. Let u = l - -0.01899792. What is u rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -13 - 19. Let o = c + 2. Suppose 4*s - 2 = o. Solve f = 3*z + s, 2*f + 15 = 3*z + 5*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**2 + 0 - 1\/66*x**4 + 2*x - 1\/110*x**5 + 0*x**3. Factor a(y).\nAnswer: -2*y**2*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 5, e: 6}. What is prob of picking 4 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = v + 3*v. Differentiate -v*x**3 + 4 + 28*x + 8*x**3 - 28*x with respect to x.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2584113, 2584007, 2583709, 2583123, 2582153?\n\"Answer: -16*p**3 + 6*p + 2584123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -140960 rounded to the nearest 1000?\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(704) + sqrt(704) + sqrt(704) + 1 + -2*sqrt(704) + 2*sqrt(704) + 3)*4 + 1)*-2)**2.\nAnswer: 12288*sqrt(11) + 406528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o**4 - 6*o**3 + 20*o**2 + 2411. Let u(w) = 45*w**4 - 13*w**3 + 39*w**2 + 4820. Let p(m) = -6*u(m) + 13*x(m). Differentiate p(b) with respect to b.\nAnswer: 12*b**3 + 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**3*v + 2*o**3 + 2*o*v + 10003*o - 808*v wrt v.\nAnswer: 4*o**3 + 2*o - 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 19. Solve m = -0*m + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.331228*0.15\nAnswer: -0.0496842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7565450 to the nearest ten thousand.\nAnswer: -7570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j**3 - 31*j**2 - 6*j - 15. Let w(d) = d**3 + d - 1. Let b(o) = a(o) - 5*w(o). Let g be b(-10). Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23765 divided by 2613.\nAnswer: -23765\/2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 79*p - 30641. Determine x(-219).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.6 + -10.531. Let s = 0.0822 - i. Let h = -0.021 + s. Round h to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) -1 (c) 5 (d) -159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2 - -3 - (-156)\/26. Solve t*k = -59 + 83 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 17. Suppose 2*v = 7*v - 25. Let j(a) = a**3 - 5*a**2 - 2*a - 4. Let p be j(v). Is 7 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062 rounded to four dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218865 and 19455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242616267?\nAnswer: 3, 277, 307, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeee. Give prob of sequence epe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 778 - 769. Solve -20*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a + 4. Let h(v) = -2 + 12*v - 5 + 4. Let b be h(1). Suppose t - 3*w = 2*t - 14, -3*w = -b. Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2\/79 in ascending order.\nAnswer: -5, -2\/79, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694222?\nAnswer: 2, 19, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-38) + (-1488)\/(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -23*a + 3. Calculate the lowest common multiple of 3 and k(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.3. Let o = -3.96 - 0.04. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 62*w**2 - 645*w - 12. What is f(9)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/29 + (89984\/2146 - 39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 14*r + 96 = u, -96 = 2*r + 3*u. Let g be r\/30 + -4*(-7)\/14. Which is the third biggest value? (a) -5 (b) g (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (2 + -4 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/15, -199, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Suppose 131*r - 342*r - 27 = -238. Let g(c) be the first derivative of -3*c**4\/4 - 5*c**3\/3 + c**2 - 10. Calculate r*g(x) - 5*v(x).\nAnswer: -3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 516.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 127850411?\nAnswer: 127850414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10792.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15244613 (base 7) to base 8\nAnswer: -5435052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5\/3 - 123*g**4 - 3248*g**3\/3 - 960*g**2 = 0.\nAnswer: -360, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*j - 105*j - 188. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24020431 (base 5) to base 14\nAnswer: -5a308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 161?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = a + 17, 0 = -2*h + 4*a - 7*a + 17. Suppose 3*p = 3*j - 222 - 1434, h*j = -4*p + 2176. What are the prime factors of j?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -457.3 + 458. Which is the closest to f? (a) 1\/2 (b) 1 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*(2 + -4)*4. Put -14, t, -5 in ascending order.\nAnswer: -14, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:11 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 - -0.67831. What is p rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 + 46*v + 10. What is the units digit of x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/780 - d**5\/195 + d**4\/52 + 11*d**2 + 1. Determine i so that t(i) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 5*f + 2. Let s be (6\/4*-2)\/(-11 - -12). Is u(s) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001011000000 + 1110000010?\nAnswer: 10001011001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let o(p) = p. Suppose 0 = 4*c + 4*v + 14 + 18, -4*c - 2*v = 28. Let s = 1 + c. Let t(b) = s*o(b) + 2*u(b). Let y(i) = 14*i. What is t(y(m))?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-seven fifths of a decade?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0*h**2 + 5*h**2 + 6*h**2 + 7 - h**2 + 5*h. Let y(g) = 10*g**2 + 4*g + 7. Let b(z) = 4*n(z) - 5*y(z). What is the derivative of b(j) wrt j?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4159\/7 - 1476\/(-1722). Calculate the greatest common factor of 238 and r.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3168 + 3222. Calculate the least common multiple of 54 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 245*t**2 - 36*t**2)*(-2 + 0 + 0) + 0*t**2 - 4*t**2 + 2*t - 14*t**2.\nAnswer: 532*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1273369 - 0.1274. What is s rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (176*t - 72*t - 69*t)*(2*t - t - 2*t) - 2*t**2 + 3*t**2 + t**2 + (-3*t - t + 5*t)*(2*t - 6*t + 3*t) in the form i + z*t**2 + q*t and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -64\/5*j - 128\/5*j**2 + 0 - 6\/5*j**4 - 52\/5*j**3 = 0. What is j?\nAnswer: -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -14*m - 9*m. Let w(b) be the second derivative of 0 - 2*b**2 - 1\/6*b**4 + b**m + 2*b. Factor w(k).\nAnswer: -2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 - 28*v + 99. Let t be z(8). Solve -t*a + 2*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4241 or 4224?\nAnswer: 4241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26197 is divided by 6546?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (8 + -6) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2262 + 2149. Which is the fourth smallest value? (a) 0.4 (b) 5 (c) y (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (7 - -10) + -19 + 6 + -5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 656909 + -387015. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201 - -201.2. Which is the closest to 0? (a) -3 (b) j (c) -0.1 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-2 + (-7 - -12) + -11) - 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113345910?\nAnswer: 2, 3, 5, 67, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 22*l**2. Let t(i) = 0*i - 25 + 25 - 3*i + 2*i. Give t(y(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166305 (base 8) to base 13.\nAnswer: -21787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188227 + 188439. Suppose 4*q = -u + 74, 108 - 329 = -4*u - q. Calculate the remainder when t is divided by u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 1 + 8. Let v(p) = -p**2 + 9*p + 11*p + 0*p - 7*p. Is 16 a factor of v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Does 13 divide ((-66)\/(-10))\/(x\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75.1 and -4958578.\nAnswer: -4958653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6611\/276 + -307\/12. Find the common denominator of d and -39\/2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2281 + -3.\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 430 = -578. Suppose -r = -2*s - 29 - 9, 3*r + 2*s - 106 = 0. What is the greatest common factor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 161 - 137. Let q be 135\/(-18)*(-4)\/6. Suppose v*m - 1276 = -q*m. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(32))**2 + (sqrt(2) - (-1*sqrt(22))\/sqrt(11)).\nAnswer: 2*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)*q*q**(2\/3)\/q*(q**5\/q)\/(q*q\/q**1*q))**22 assuming q is positive.\nAnswer: q**(2420\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/9)\/(4\/(-66)). Let z = x + -10. Suppose -2*q + 5*q - z = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*d + 106. Suppose d = -5*t - 3*x, 4*t = t - 5*x - 33. Let p = t - -10. Solve p*q - 3*q = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 6. Let w = -10 - -5. Let t = 119\/4 + -30. Which is the smallest value? (a) w (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-30))\/((-1183)\/910)\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.8 (b) -1\/2 (c) -2520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423633 is divided by 3026?\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21.42611 tonnes?\nAnswer: 21426110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, 9, 79, 189, 351?\n\"Answer: 2*m**3 + 2*m**2 + 22*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 6. Suppose -18 + 6 = -4*r. Suppose r + 17 = -4*s. Give g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29747 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x + 10 = -2*k, 4*k = -20. Suppose 7*o - 10 + 52 = x. Let h(g) = g**3 + 5*g**2 - 7*g - 2. What is h(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7518 + -5172. Calculate the least common multiple of z and 3128.\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 5*y**3\/6 + 3*y**2\/2 + 2*y. Let o be n(-5). Factor g**3 + 2 - 4*g**2 - 3*g + 4*g + 4*g**o - 4*g**2.\nAnswer: (g - 1)**2*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 2 + 25*z**2 - 22*z**2 - 2 in the form f*z + d + h*z**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 581, 0, 10, -3, 67 in decreasing order.\nAnswer: 581, 67, 10, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1383 + 1468.7. Let x = 85.269 - t. Let m = x - -0.45. Round m to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.3 (c) 24 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -41. Suppose 0 = a*h + 19 - 89. What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/6 (b) 2\/19 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 77*r**2. Let l(g) = -10*g**2 - 7*g + 7. Let j be 3 - ((-176)\/(-66))\/(2\/(-3)). Let x(k) = -7*k**2 - 5*k + 5. Let o(b) = j*x(b) - 5*l(b). Give w(o(u)).\nAnswer: 77*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) - 143\/(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6689 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63800 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 - 69 = -5*w, 4*r + 41 = 3*w. Let u be ((-22)\/(-10))\/(18\/w). Which is the second biggest value? (a) -3 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4752765 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*g - 7*a - 43, 1 = -g - 4*a. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - -10) - 2 - 6 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/4830 and -26\/21735?\nAnswer: 43470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1445*s**4 + 0 - 2*s**3 + 1444*s**4 - 66*s as p*s**4 + n*s**3 + z*s**2 + w + v*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534242059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/13*r**3 + 2\/13*r**2 - 8\/13 + 8\/13*r = 0. What is r?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 21 + 19. Let o = 14 + i. Solve -m + o = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 - 4 + 6*i + 0 - 5*i. Let d(h) = -4*h**3 + h**2. Let t be d(-1). Give j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 10 = -4*n + 13 + 5, 5*c - 12 + 52 = 5*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 - 84. Let n = w - 328. Is 4\/(-14) - n\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:16 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6422, 6271, 6120?\n\"Answer: -151*p + 6573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1568 and 15008.\nAnswer: 105056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x. Let q(d) = -39*d**2 + 18. Let u(o) = -11*o**2 + 5. Let t(w) = 5*q(w) - 18*u(w). What is t(b(r))?\nAnswer: 432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*d**4*f**2*s - 4*d**4 + 3*d**3*f*s + 10*d**2*f**2*s + 185*d*f**2*s - 2*f**2*s wrt d.\nAnswer: 12984*d*f**2*s - 96*d + 18*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 22*y**2 - 6*y. Give s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.6 and 10682?\nAnswer: 337551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -49*p**3\/3 + 175*p + 57. Differentiate r(v) with respect to v.\nAnswer: -98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/15*(5 + 10\/(-3)). Calculate the remainder when 22 + -1 + a\/((-3)\/2) is divided by 3*(6\/3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3118*u**3\/7 + 470*u**2 + 172*u\/7 = 0. What is u?\nAnswer: -1, -86\/1559, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/1666)\/(6\/(-126))*(-1)\/(-3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1) + 35 + -2. Let h = l + -29. Suppose -2*a + 30 = 5*v, -4*v = h*a - 94 - 15. What is the remainder when 74 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -65. Let r = w + -46. Solve 0 = -5*v + r + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*m - 772 = 2*m, 2*p + 4*m = 748. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 - 16*p - 9. Let d be ((-20)\/75)\/(40\/(-60))*(-1 - 9). Determine f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288353988 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20213*z + 60642*z - 20222*z - 20214*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/5 + 3*u**3\/5 - 69*u**2\/5 + 117*u\/5 - 54\/5 = 0 for u.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*w + 10*w - 7*w)*(-2*w - 9 + 9)*(-15*w**2 - 23*w**2 + 15*w**2) to the form x + f*w**3 + i*w + d*w**2 + u*w**4 and give u.\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f + 5. Let y(o) = 7*o + 6. Let z(a) = 5*g(a) - 4*y(a). Let i be z(-1). Let s = 4 + -6. Which is greater: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39330 is divided by 7527?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*t - 31. Solve 3*r - r - t = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r. Let s be (r - 2)*1\/(-2). Let h = 9 + s. Solve 2*z + h = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/13)\/(3\/(156\/2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 18. Let t(x) = -x**3 - 2*x**2 - x + 1. Calculate the lowest common multiple of t(-2) and (6\/4)\/(n\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q + 2*q + (-2*q - 2 + 2)*(3 - 3 - 2) + (5 + 3 - 4)*(7*q + 8*q - 8*q))*(6 - 2 - 5).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100 - 201*y**3 + 100)*((1 + 2*y - 1)*(4 - 2 - 4) + y - 2*y - 3*y) as r*y + d*y**3 + m*y**2 + g + v*y**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-30))\/(1\/(-6)). Solve -b*y = -1 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -254 - -1543\/6. Let t(g) be the second derivative of -10*g + 0 + n*g**3 - 5\/2*g**2. Find the first derivative of t(i) wrt i.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q + 5. Let b(t) = -14*t + 8. Let n(i) = -5*b(i) + 8*l(i). Let s(k) = 22*k + 15*k - 83*k - 82*k + 1. Calculate n(s(m)).\nAnswer: 256*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13b919 (base 12) to base 2\nAnswer: 1010000111001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339989088?\nAnswer: 2, 3, 67, 52859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 593121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223364*o - 1 - 111679*o - 111696*o.\nAnswer: -11*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - d, -5*d + 20 = -v + 7. Let z be (-3 + (v - 0))*5. Let o = 0.1 + -0.1. What is the second smallest value in 1\/5, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -93\/716 in increasing order.\nAnswer: -93\/716, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from rjjrjjjj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, t: 1}. Give prob of sequence ei.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 - i - 9. Let g be h(-7). Put -4, g, 1 in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18460 and 28\/2978663.\nAnswer: 774452380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29404 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71861459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*t - 20 + 4 = 0, -2*t = 8. Let p = -0.44 - -0.82. Let z = 0.68 - p. Which is the closest to f? (a) -1\/4 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-2)\/(-4) + -1). Suppose -5*h = 2*m - 5*m + 34, -q*m - 5*h - 16 = 0. Let k(t) = m*t - 3 - t - 7*t**2 + 2. What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 15456.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -o - 6, 2*j - 19 = 3*o - 4. Let v(m) = 3*m**2 - 1. Let f be v(-1). Solve 5*y - 2 - j = -f*u, 5*y + 25 = 4*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s**(-2)*s)\/(s**(1\/4)\/(s**(-1\/4)*s*s*s))*(s\/(s\/(s\/s**(-7\/5))))\/(s**(-8)*s)*(s\/(s*s\/(s*s**0))*s*s)**(1\/30) assuming s is positive.\nAnswer: s**(449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, 1\/2, 0.2, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 839240 divided by -1?\nAnswer: -839240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**4 - 2*a**4 - a**4)*(69 + 28 + 104) as n + h*a + g*a**2 + f*a**4 + y*a**3 and give f.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttvhttppttt. What is prob of picking 1 v, 2 p, and 1 t?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 18 = 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 984120 by -708.\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 + -465 + 9 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 2*k)*(3 + 11 - 5) + (4 - 3 - 3)*(-777*k + 369*k + 368*k).\nAnswer: 89*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 85 - 734*q**3 + 709*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558*j - 86217 - 85169 = 0 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = w + 46, -5 + 51 = -3*l + 5*w. Let h be 75000002\/6 + 4\/l. Round h to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 143?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/4 + 2*k**3 - k**2\/2 + 7*k + 2. Let t be a(6). Let s = -36 + 326\/9. Is t less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:35 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 31*x**2 + 14*x + 22. Let u be r(15). Let o be 3\/21 - (-7769999)\/u. Round o to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let r be p(2). Let u be ((-63)\/12)\/(r\/(-8)). What is the greatest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 862485149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 106 - 111 = 0. Which is smaller: 4\/29 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 154*c - 10038. Give v(65).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18726680 divided by 7?\nAnswer: 2675240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161175754 to the nearest integer?\nAnswer: 12696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*x**3 - a*x**2 - 3*a*x + 1782896*a + 2*x**3 - 2*x**2 - x - 12360880 with respect to a.\nAnswer: x**3 - x**2 - 3*x + 1782896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 395390.3 millilitres?\nAnswer: 395.3903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63790 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 15.03, 5 in descending order.\nAnswer: 30, 15.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363918780 to the nearest integer?\nAnswer: 19077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2867 - -1643. Let n = -774 - p. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 20448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/5)*b*(b**(-28\/3)*b)\/b)**(-10) assuming b is positive.\nAnswer: b**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 2101651?\nAnswer: -31524765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 11 + 17. Suppose 2*m + 6 = 0, -4 = -4*w - 3*m - q. Suppose -1162 = -w*h - 4*h. What is the remainder when h is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/34 and -46\/1751.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 - 3*j - 9. Let o(w) = 6*w**3 - 31*w**2 - 15*w - 46. Let r(b) = 2*o(b) - 11*t(b). Let q be r(-4). Sort -7, q, -3, 0.\nAnswer: -7, q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - -3) - 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.232039 years?\nAnswer: 0.06232039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -3*c**5\/5 - 4*c**4\/3 - 2*c**3\/3 - 41*c. What is j in m(j) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let m = -254\/217 - -1159\/434. What is the nearest to 0.1 in 5, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/20)\/((42\/5)\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 take away 1586?\nAnswer: -1574.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326315 divided by 85.\nAnswer: 3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -24653 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-10)\/((-120)\/(-12))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20968 + -20970. Which is the closest to 9? (a) f (b) -4 (c) -3 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let l(x) = -3943182*x**2. Give l(p(s)).\nAnswer: -3943182*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:14 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*f - 7, -f + 4*x = 3 - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2202?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 - 7*c - 1. Let x be g(-6). Suppose -12 = z + x*h, 5*z - h = 9 + 35. Solve z = -4*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.857675 * 4.\nAnswer: -99.4307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3992, -15498, -34652, -61448, -95880?\n\"Answer: m**3 - 3830*m**2 - 23*m - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1913 + 40165\/21. Suppose -2 = -g + 2, -3*h + 4*g = -134. Find the common denominator of 149\/(-30) - 30\/h and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-12 + 3 - -8). Solve -l = -h*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -11, -3, 7, 19?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let u be -2*(-1 - 0\/1). Let a be (-64)\/(-80) + 8\/(-10). Solve -5*j = -y*v + 3, v - 3*j = -a*v + u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*(5*-1 - (-870)\/180)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.563 - -0.54. Let u = -1.537 + j. What is u rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x**3 - 11*x**2 - 15. Let j(q) = 6*q**3 - 6*q**2 - 8. Let z(b) = -11*j(b) + 6*r(b). Differentiate z(l) wrt l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 6747.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5200874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2006 - 3869 = 17*g - 1982 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 8*u - 1320. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (-26)\/(-6))\/(3\/(-6)). Let i be -3*1\/2*2. Suppose -30*u = -94 - 116. Put u, i, s in decreasing order.\nAnswer: u, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izizriiidri. Give prob of picking 1 r and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-2)\/(-4))\/(17\/51))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-12*(-4)\/240). Solve -n*o = -4*p - 25, -o = -2*p - 6*o + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19 from 8078518295.\nAnswer: 8078518294.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 10*q**2 - 10*q - 6. Suppose 0*o = -5*o + 55. Let d be t(o). What is the third derivative of -s**5 - 4*s**2 + d*s**2 + 3*s**2 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 0.5 (c) 141 (d) -1\/3 (e) -4 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g - 3. Suppose -55*h = 5*h + 132*h - 1536. What is the least common multiple of q(3) and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 56. Let o be f(-30). Let w(p) = 5*p - 7. Let d(y) = -11*y + 15. Determine o*d(n) + 9*w(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 - 24*d\/13 + 216\/13.\nAnswer: -2*(d - 6)*(d + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -72. Suppose 4*h + q*n - 92 = 44, 2*h - 70 = -n. What is the greatest common divisor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -24. Suppose 15 = 4*y - c. Suppose -10 - 30 = -4*j. What is the remainder when y is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133.4 - -115. Let f = p - -18. Which is the closest to 2? (a) f (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 24*z + 1539. Let n(w) = 14*w + 771. What is 3*m(c) - 5*n(c)?\nAnswer: -3*c**2 + 2*c + 762","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 77, 115?\n\"Answer: 38*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a - 6. Suppose 0 = -y + 2*y + 4. Let w be b(y). Suppose 7*j - 22 = w*j - 4*k, -j - 2*k = -8. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + x - 10 = 0, -2*d + 22 = -0*d + x. What is the second derivative of 4*t + 2*t - d*t**4 + 2*t**4 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 0.06. Let v = -1 - -3. What is the biggest value in o, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*z + 35*z + 11*z**2 + 9*z**2)*(9 - 2 - 1)*(1 + 0 + 1) as b*z + o + d*z**2 and give d.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -12?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*g**2 + 0*g**3 + 0 + 0*g - 1\/7*g**4.\nAnswer: -g**2*(g - 2)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -488 + 479.54. Let y = 1.46 + d. Let g = -0.1 - 1.9. Which is the closest to y? (a) g (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:21 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010101000000 - 10100001011100?\nAnswer: -10011110110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20418640067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 172223 = 3*n - 67392, n = 4*p - 209687. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*l + 5*i, i + 1 = 2*l - 6. Let s be ((-4)\/7)\/(1710\/399). Put 0.03, l, s, 4 in ascending order.\nAnswer: s, 0.03, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*x - 141*x + 542*x + 595*x + 70*x in the form w*x + k and give w.\nAnswer: 1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t + 33*t**3 + 18*t - 7*t**2 + 5*t**2)*(2*t + t - 4*t).\nAnswer: -33*t**4 + 2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h**2 + 2*h - 3. Let p(o) = 7*o**2 + o - 2. Calculate 3*n(b) - 5*p(b).\nAnswer: 7*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1254 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8979 - 42979 = 2*j. Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, r: 2, i: 1, k: 4}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 825770376 divided by -6?\nAnswer: -137628396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81.0416 litres?\nAnswer: 81041.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 + g**2 - g. Let k(b) = 10*b**3 + 2*b**2 - 4*b. Determine -2*k(t) + 7*u(t).\nAnswer: t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0556 + -0.0206. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -0.5. What is the third smallest value in -2\/17, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 23*g + 10. Let w be x(6). Let q(z) = 41*z - 16*z - w*z - 29*z. Let d(k) = k. Determine q(d(s)).\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1\/11, 2\/5, -1.7, 3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from {r: 9, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/663 and -33\/1842970?\nAnswer: 71875830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(228)*-6)\/(sqrt(12) - -1*sqrt(48)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 + 6*b - 3. Let z be t(3). Suppose 0 = 3*d - z + 3. Let j(p) = 16*p - 3. Is j(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*y - 42 + 8, y - 8 = -x. Suppose -11*w = -8*w + 9. Let k be (-1 + w\/(-6))\/((-5)\/100). What is the greatest common factor of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82145 - -2?\nAnswer: -82143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 5*d + 6 - 3. Let s(t) = 5*t**2 - 2*t - 1. Let h be s(-1). What is the tens digit of m(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*n + 2*g, -3*n + 5*g = -2*n - 29. Suppose -n = -0*d - 3*d. Solve 0 = -2*w - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58 - -4) + -3 + 8. Calculate the common denominator of -1\/8 and (y + 0)*(-6)\/(-432).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19577 + -19572. Which is the nearest to 0.1? (a) 4.33 (b) 0.3 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -h + 3*l, -10*l = -14*l - 16. What is the highest common factor of 69 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153 + -2143\/14. Suppose -4*u - d - 10 = -u, -4*u + 4*d = 40. Which is the third smallest value? (a) -0.2 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 45*n**3 + 75*n**2 + 265*n + 150.\nAnswer: -5*(n - 3)*(n + 1)**2*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/((-1)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/36*(-4704)\/1960. Solve -4\/3*r**3 - 2\/3*r**4 + a*r**2 + 10\/3 - 28\/3*r = 0 for r.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(12)\/(sqrt(216)\/sqrt(4)) + 4)**2)*-5.\nAnswer: -580\/9 - 80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434, -433, -432, -431, -430, -429?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8091\/(-6293))\/((-1)\/(-2))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/41382 and -47\/37620.\nAnswer: 413820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w = -204*w + 582. Solve -w*k - 4 = -34 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*h - 3*q = -32*h - 521, -2*h - 4*q = 3*h - 75 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}