diff --git "a/data/dm_maths/full_data/10161_11255.jsonl" "b/data/dm_maths/full_data/10161_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10161_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(p) = -3*p + 54. Let s be w(0). Let o = -57 + s. Let y(m) = 4*m + 14. Let i be y(o). Solve -t = -3 - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + x**5 + x**5 + (-11*x**3 + 2*x**4 + 11*x**3)*(3 + 2*x - 3) - 2*x**4 - 49*x**3 + 49*x**3 + 8*x**5.\nAnswer: 15*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/90 - b**3\/15 - 8*b**2\/3 - 14*b - 1. What is k in u(k) = 0?\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 20 = -2*q, 5*z - 20 = -5*q. Solve -2*i - 5*b = -7, -4*i + z*i = 5*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3))\/(8\/24). Let z = 4 + u. Suppose 5*q + 2*h = h - 4, -h - 4 = z. Is q > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -67 + -34 + 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s - 52. Let l be z(5). Put l, -27, 0 in ascending order.\nAnswer: -27, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-855)\/3)*((-70)\/98)\/(255\/714)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -11. Suppose -2*l = t - 15 + 4, -3*l + 3*t = z. Solve -l*y - 2 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177508 and 147180?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143577 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/352?\nAnswer: -3\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 18*y**2 - 16*y + 15. What is s(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/40*(-41785)\/50142.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.115 and 343.\nAnswer: 343.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 1690*d**2 + 14755*d - 16450.\nAnswer: 5*(d - 1)*(d + 10)*(d + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 5*y - 6 = 0. Suppose 4*k = -y*k + 28. Suppose 2 = 4*p - 3*p, k*p + 76 = 3*o. What is the greatest common divisor of 28 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**3 - 5021 + 5021.\nAnswer: 47*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**5 + 5*y**2 - 1. Let d(j) = 16*j**5 + 52*j**4 - 76*j**3 - 352*j**2 - 168*j + 12. Let s(p) = d(p) + 12*g(p). Solve s(b) = 0.\nAnswer: -14, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 15. Suppose 24 = -24*t + 22*t - 3*j, t + 4*j = -32. Put t, -16, u, -3 in descending order.\nAnswer: t, -3, u, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 8*j - 9. Suppose 4*h - 4 = -28. Let d be c(h). Let a(b) = b**2 + b - 1. Does 3 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35041 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: Suppose 0 = 5*h - h - 22*h + 26784. What is the remainder when h is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*32\/48 + (-8)\/1. Let h(v) = -6*v**2 + 8. What is h(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004889079 rounded to 6 dps?\nAnswer: -0.000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2371.1 + -868845290.\nAnswer: -868842918.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*y - 31*y = -830*y + 10390 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/168*4*15\/(-20))\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4640.06 - 0.0694.\nAnswer: -4640.1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -740.4, 116, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 35 + -10 + -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 2, m: 2, a: 2, t: 3, n: 4}. Give prob of picking 2 k, 1 a, and 1 n.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 6. Let t be p(-2). Suppose 5*s + 1 = 4*g, 4*g - s + 3 = -t*s. Let d(u) = u**2 + 8*u + 2. Let k be d(-8). Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w - 21. List the prime factors of y(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*j + 3*j. Suppose h - t = 3*t - 3, 0 = -4*h - 5*t + 51. List the prime factors of 0 - h*30\/j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = -8. Suppose 5*v + 10*k - 390 = 5*k, -307 = -c*v + k. Calculate the remainder when v is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -18 + 3. Sort -1, -5, f in increasing order.\nAnswer: -5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000201021 - -12?\nAnswer: -2000201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -3 (c) -4 (d) 138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8727*p**5 - 366531*p**4 + 8587494*p**3 - 49153416*p**2 + 67040256*p - 23040 = 0.\nAnswer: -60, 1\/2909, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -18*r**2 + 4*r. Let g(c) = 35*c**2 - 8*c. What is 4*g(i) + 7*o(i)?\nAnswer: 14*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10019\/13356 - 1\/6678. Factor 0*y + 0 - 3\/8*y**3 - g*y**2.\nAnswer: -3*y**2*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*j**3 + 24*j - 739*j**3 - 24*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let k = -4 - p. Suppose -m = 1, k*m = 4*o + 3*m - 5. What is the lowest common multiple of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 - 136180*v**4 - 408516*v**3 - 408508*v**2 - 136168*v = 0. What is v?\nAnswer: -34042, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/((-1)\/(-14)). Find the third derivative of -t*c**2 - 3*c**5 + 3*c**2 + c**2 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -409.6 + 420.9. Sort -0.4, b, -4 in ascending order.\nAnswer: -4, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24046 + 24048)*(-2*1 - -24).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28808637133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 5, i: 13}. What is prob of picking 1 j and 2 i?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -20. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g. Let b(z) = -3*z**2 - 5*z - 4. Let j(v) = -4*a(v) - b(v). Determine j(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4 + -3 + 103490\/206996. Let q = x - -83885143\/362243. Let b = q - 231. What is the fourth biggest value in 5, 0, b, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjsskss. What is prob of picking 2 s and 2 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1309?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-2\/11)\/(p**(-2))**(-30) assuming p is positive.\nAnswer: p**(-658\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -840, -1809, -3070, -4563, -6228, -8005?\nAnswer: -9834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - -206.\nAnswer: 207.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9776, -13149, -18772, -26645?\n\"Answer: -1125*c**2 + 2*c - 8653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3942 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, 2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41780*i**2 + 14635 with respect to i.\nAnswer: -83560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -2*(-1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28345\/6, 0.2, 0.1.\nAnswer: -28345\/6, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - -11?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/40*30\/(-27)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1414501 + -4523959973\/1414501. Let v = b + 3202. What is the common denominator of v and -62\/69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 908 = 3*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229 - -234. Suppose -o = -x*o - 2*o. Solve o*q + 5 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:15 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 6*m + 10. Let n be c(-8). Let z = -6 - n. What is the third derivative of 4*v**3 + z*v**2 + 0*v**2 + 0*v**2 - 3*v**2 wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 8, t: 2, o: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362 - 362.2755. Round q to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57911 or 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10645.\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/20391 and -49\/26217.\nAnswer: 183519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c. Let k(b) = 6*b. What is -7*k(g) - 3*t(g)?\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 3021963443.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/((-8 - -5) + 9). Let m = -0.3 - -0.25. Let k = 3 - 2.5. Which is the third biggest value? (a) m (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:58 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 2. Let o be s(3). Suppose 2*f - 8 = -f - o*v, -v = 5*f - 28. What is the second derivative of -p**5 + 2*p + 7*p - f*p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:35 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229634.\nAnswer: 2, 19, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 647 + 965*o + 7*o**2 - 9*o**2 - 586 wrt o.\nAnswer: -4*o + 965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39605*g + 39657*g + 354 = 3734 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 297 + 173 = 0. Let x = -45 - i. Suppose -4*b = -16, -5*n + x*b = -n + 8. Solve -5*l - 2*u - 18 = n, -2*u - 6 = l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 11\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4 + 2)*-2. Suppose -17 = 2*r + 2*r + 5*d, m*r - 3*d = 19. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-7))\/2*35\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-5)*(-520)\/16.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzzallsalsccmzzcz. What is prob of sequence alz?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 35*j + 145. Let h be t(-4). Solve 5*s = -h*s + 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4, n - 311 - 185 = -4*k. Let l = n - 510. Solve z + l = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 0 - 4\/(-6). Let t = 17 + -30. Let n = 8 + t. What is the third biggest value in n, l, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*j**3 + 42*j**2 + 10*j + 196779.\nAnswer: -48*j**2 + 84*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-1218)\/145)\/(2*3\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134051 bigger than 134050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/3, -2, -1, 0.025?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:35 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144000 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**3 + 34*u**3 - 54*u**3.\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a**2 + a - 1. Suppose 4*k + 5*g = -3 + 14, 4*k - g + 7 = 0. Let z be v(k). Solve b = 1 + 3, 2*s = b - z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 8. Suppose -15*m + 140 = -11*m. What is the least common multiple of 0 + 4\/5*m\/14 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 16*d**2 + 19*d + 16. Let u be h(15). Suppose 0 = u*n - 75*n. Calculate the remainder when (-9 + 10)*(n - -19) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 - 12.2836.\nAnswer: 201.7164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 43910373?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202320 is divided by 235.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 70, 105, 176, 295?\n\"Answer: 2*c**3 - 3*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 34*m - 33*m - 3, -454 + 1259 = 5*m - 72*q - 91*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -47. Let b = 23 + u. Let y = -20 - -34. What is the lowest common multiple of y and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 31. Determine f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 1\/3*p**3 + 9 - 2*p - 2*p**2. What is g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdu when three letters picked without replacement from {p: 4, j: 1, d: 1, b: 1, u: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15073 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16548893 is divided by 947.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * -4.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.623458 rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 9, 6 in decreasing order.\nAnswer: 9, 6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-37 + 38).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -b - 0*b. Let v = -298913\/18 - -16598. What is the common denominator of (1\/(-2))\/(20\/b) and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 1, q: 1, c: 2}. What is prob of sequence cqf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:10 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(510)*-1)\/sqrt(10))\/(sqrt(432) - sqrt(12)) - ((3*sqrt(2057) + 0)*-5)**2.\nAnswer: -462825 - sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632, 627, 622, 617, 612, 607?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 20. Suppose 6*r = 4*r - t*q + 58, 3*q - 144 = -4*r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + j + 33, b + 4*j + j + 9 = 0. Let a be (3\/2)\/(9\/b). Solve a = 2*w - n, w + 2*n = -n + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + sqrt(700) + 1 + 4)*-4)**2.\nAnswer: 1280*sqrt(7) + 11456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387017009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*i**3*u + 2*i*u + 3*i + 4*u wrt i?\nAnswer: 624*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*k = -147*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three halves of a litre in millilitres?\nAnswer: 26500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/4 or -7?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19481 and 33719.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 321\/7. Let o = u - 31\/28. Which is the closest to 1? (a) -0.5 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 52. Sort -5, -2, r in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33828.88l in millilitres?\nAnswer: 33828880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (-8 + 2 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkxkppxxxpppkppkfkp. Give prob of sequence xff.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -35*v + 5. Let t(w) = -w**3 - 5*w**2 + 9. Let x be t(-3). Let i(q) = 18*q - 2. Let d(z) = x*i(z) - 4*u(z). List the prime factors of d(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -2\/217, 0.04, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x**2 - 3*x**2 + 0 + 0 to the form z*x + a*x**2 + r and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76632 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36486 divided by 30\nAnswer: -6081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 + 5*z + 1. Let q be a(-4). Let r = 8 + q. Suppose 1 = -4*t + t + r*v, -4*v + 28 = t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:36 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h**2 + 7*h - 2. What is g(2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 1, x: 11}. Give prob of sequence ara.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2220 + 5?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2545*y + 1110*y + 1231*y.\nAnswer: -204*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12, 3*f + 22 = 4*c + 5*f. Let z be (-9)\/4*24\/(-9). Suppose -c*i = -230 + z. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 4*a - 16. Let p(s) = s**4 - s**2 + s + 1. Let i(k) = -g(k) + 4*p(k). Find the first derivative of i(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -422 + 422.2. Which is the closest to 5\/3? (a) t (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -44*p**2 - 10692*p - 62568. Calculate q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 28782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 343 - 126 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.2 - -22. Let u = 5.6 - 6. Let k = u - 4.6. Which is the second biggest value? (a) k (b) 1\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 5 = 0. Suppose -z - 2 = -c. Suppose 51 = c*a + 9. What is the highest common divisor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1918 and 35\/9.\nAnswer: 17262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043712992 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*l - 204*l + 1403*l**2 + 404*l - 6019*l**2 + 366*l wrt l.\nAnswer: -9232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-14)*2*1. Let d be -2 + 3 - (2 + 0). Are d and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 0, 0 = -4*s + 3*o - 2*o + 762. Is s\/4 - (-3)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (57 - 6 - 9) + 5 + -9 + -4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let b(j) = -12*j + 2. Determine b(f) + 5*m(f).\nAnswer: -7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 + -519. Let f = h - -216. Put -2, f, -0.5, -0.07 in descending order.\nAnswer: f, -0.07, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -227188, -456755, -686322, -915889, -1145456, -1375023?\n\"Answer: -229567*t + 2379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1068*f - 14364.\nAnswer: -3*(f + 14)*(f + 342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49843*x = 49806*x + 518. Solve x*p = -35*p + 392 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1)\/(-1) + 5. Let o = 8 - u. Which is the second biggest value? (a) -0.3 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*11\/((-66)\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let z(d) be the second derivative of -d**3\/6 - d**2 + 4*d. Determine 3*p(x) - z(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = -2*d, t + t = 5*d - 8. Let g be d\/3*1 - -1. Is 1305\/12 + g\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/(o*o*o**(3\/7)))\/((o\/o**(-2\/11))\/(((o\/(o\/(o*o\/o**(1\/23)*o))*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-7629\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27540214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*i + 951, 2*i + 233 = n - 2*i. Let b = n - 87. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from auoyyuyyqtto?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 3. Let j be c(-5). Let k = j + -2. Suppose 2*t + 24 = k*t. Which is smaller: 9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:14 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 2, 3 in ascending order.\nAnswer: -10, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-124)\/8 + (-1)\/2. Let x(w) = -w**2 - 14*w + 31. Let o be x(c). Suppose -o = -7*u - u. Solve u*n + 3 = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 10. Let n = f - 12. Solve n*a = -2*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 5*w - 9*p - 32, 0 = -43*w + 41*w + 3*p - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:26 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 122291 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: Let t be (7 + (-480)\/25)*-85. What is the greatest common factor of 61 and t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 - 4*q - 289. Let y(t) = -8*t**2 + 2*t + 145. Let d(i) = 2*k(i) + 5*y(i). What is the derivative of d(r) wrt r?\nAnswer: -32*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45868 by 4.\nAnswer: -11467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*b**5 - 2*b**3 - 3*b**2 - 110*b wrt b.\nAnswer: 7380*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -4\/15*z**3 + 6\/25*z**5 - 2\/5*z - 4 + 3\/5*z**2 - 1\/5*z**4 - 1\/15*z**6. Factor p(f).\nAnswer: -2*(f - 1)**4*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:39 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (686\/(-56))\/((24969\/(-1160))\/123).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d - 91*d - 185*d - 82*d + 459*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 1\/20*g**5 + 0 + 1\/2*g**3 - 1\/2*g**2 - 1\/4*g**4 - 2*g. What is v in i(v) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151220000 rounded to the nearest one million?\nAnswer: 1151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/4)\/((-9)\/24). Let o be a\/(-20)*(1 + 3). Solve p + f = -3, -5*p - 2*f = o + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27801*n**5 + 125*n**4 + 2*n**2 - 278591*n - 2.\nAnswer: -1668060*n**2 + 3000*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 3*y + 2*o + 5, -4*o = 4*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6727 and 43\/6727?\nAnswer: 6727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*b*q + 9*a*q**3*w**3 + a*q**3 - 105*a*q**2*w - 36*b*q**3*w**3 - 2*q**2 - w**3 wrt q?\nAnswer: 54*a*w**3 + 6*a - 216*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 12402 = -105*y. Does 45 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 78*u - 77*u - 25 + 8 - 8 - 19. Let x(m) = 4*m. Give j(x(b)).\nAnswer: 4*b - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -d?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3831 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124060 + 248119\/2. Let t = -101\/92 - -8\/23. Put 284, t, m in decreasing order.\nAnswer: 284, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (990\/(-275))\/((-2079)\/330)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 161892\nAnswer: 1457028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.44853960389 - -0.16?\nAnswer: -1.28853960389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/3 - 4*u**2 + u - 11. Give n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -73*w + 44. Let r(h) = -h - 9. Let v be r(-2). Let k(g) = 37*g - 21. Let i(x) = v*k(x) - 3*a(x). Differentiate i(f) with respect to f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 0)*(-12284)\/(-10). Let f = y + 49047\/8. Find the common denominator of 101\/12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -10, -25, -46, -73, -106, -145?\n\"Answer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 7*f - 7. Let o(n) = -n**2 + 2*n + 2. Let l(r) = 7*o(r) + 2*y(r). Let u(z) be the third derivative of -7*z**4\/24 - z**2. Give l(u(m)).\nAnswer: -49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 759\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 24 = 0. Suppose 0 = 8*a - 4*a - v. Suppose -a*j - 3*i = 0, 0*j = j - 3*i + 4. Put -5, 3, j in increasing order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 4. Which is the closest to -0.1? (a) y (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14066 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25806\/1012 + 6\/(-4). Let r be (-4)\/(-2) + 58*1. Calculate the highest common divisor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-5)\/(-22)*7352\/(-919)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (0 + 1)) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 2, 0.2.\nAnswer: 0.2, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5743425464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 + 2*g + 1. Suppose 73 - 77 = 4*q. Let t be b(q). Suppose 3*n - t = -7. Solve 2*y = -n*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:27 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190008943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 20*h + 1. Calculate d(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 - c + 20. Determine w(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25884 - 0?\nAnswer: 25884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29 + 5\/((-10)\/4). Let k = 190 + p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 equal to 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 452945841 less than or equal to 452945841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 336*k + 21. Let r be i(8). Let w = -376 + r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44995 - ((-15)\/75)\/(2\/(-30)) a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -318.\nAnswer: -5\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 4, b: 4}. What is prob of sequence zz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 52*b + 319. What is v(15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4463\/5440 - 2\/85. What is the common denominator of 22 and r?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.913231ml?\nAnswer: 0.008913231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 26 = -1. Sort -1, 2, q in increasing order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2448) + 2.\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219152 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(6\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 972 = 31*v - 47*v. Calculate the remainder when 2127 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*x**2 - 71*x**2 + 144*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81.67 - -1.67. Let f = 57 + v. Let i = 24.2 + f. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - 89. Let x = -86 - n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.713 - -4.713. Sort -0.3, 4, z, -6 in increasing order.\nAnswer: -6, z, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 50, 99, 164, 245?\n\"Answer: 8*x**2 + 9*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*u - 9 + 145 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -638 - -640. Let t be 0*(6\/4 + -2). Let v = m - t. What is the greatest common factor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*l**3*n*w**2 + 3*l**3*p*w + 2*l*n*p*w**2 + l*n + 10*l*p*w**2 + 3*n*p*w + 530*p*w wrt w.\nAnswer: -358*l**3*n + 4*l*n*p + 20*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 618972, 2475918, 5570814, 9903648, 15474408?\n\"Answer: -2*m**3 + 618987*m**2 - m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -335842*r**4 + 2*r**2 + 3*r + 5333?\nAnswer: -8060208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28264 is divided by 5519?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262*b*h**2 - 28*b*h - 2*b wrt h?\nAnswer: -524*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6579, 6474, 6299, 6054, 5739, 5354?\nAnswer: 4899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -9.3.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 1 - 1)*(2*q - 9*q + 2*q) + (0 - 3*q + 0)*(0*q**2 + 0*q**2 - q**2) as l*q**3 + i*q + z + f*q**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + (28 + 92 - 111)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 151\/842, -0.3 in decreasing order.\nAnswer: 151\/842, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1498928, -1498926, -1498926, -1498928?\nAnswer: -1498932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -323401b?\nAnswer: 3234025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6421*m + 135. Let p = 179 + -214. Let f be q(p). What is f rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 31 + 8)*(2 - 2 - 2*b) to the form d*b + x and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyoboyoiooiioyoi. What is prob of picking 1 b, 2 o, and 1 y?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (113 - 36) + -39 - 70\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/6 - (-4)\/(-12). Suppose 0 = -y + u*i + 9 + 6, -25 = -3*y + 4*i. Let s be (2 + -2)\/(0 + 2). Solve s = -y*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(-5 - (-46)\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-16))\/((11285\/888)\/(-61)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5130 divide 168883339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - o - 1. Let c(b) = -12*b**3 - 3*b**2 + 3*b + 3. Calculate -c(u) - 3*h(u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Let n(d) = -2*d - 1 + 0 - 5 + 3*d. Determine n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {e: 1, k: 1, d: 1, n: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 690, 672, 636, 576, 486, 360, 192, -24?\n\"Answer: -g**3 - 3*g**2 - 2*g + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 26 = 5*i, i + q = 2*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3\/7, -1, 2, 0.06, -1630?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223200220 + 120?\nAnswer: -2223200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -15578923?\nAnswer: -15578912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10.8588 = 0.0073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19141*y - 72 = -19145*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-70)\/(-36)) + (0 - 2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15\/2)*c\/(c*c\/(c**27*c)*c*c)*c*c*c**3\/c*c**35 assuming c is positive.\nAnswer: c**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Suppose -2*c - 6 = y, 5*u = -c + 10 + 37. What is the derivative of -11 + w**4 + u*w**4 - 3*w**4 wrt w?\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792 + 3126*o - 2381 + 795 + 794 to m*o + k and give m.\nAnswer: 3126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256009.\nAnswer: 13, 47, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25187 - -32976. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 1. Let p(i) = -8*i**2 - 5*i + 3. Calculate -6*m(t) + p(t).\nAnswer: -8*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 128\/10 - ((-18)\/15 - 0). Suppose -h - 54813 = -2*p, -2*h = -k + 12. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183127 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {b: 3, m: 1, u: 1, c: 1, j: 1, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1101\/4, 1, 3, 0, 388 in descending order.\nAnswer: 388, 3, 1, 0, -1101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 3, p: 1, v: 5, r: 1, h: 1}. What is prob of sequence vdw?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.866122 to the nearest integer.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -1211?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428346444?\nAnswer: 2, 3, 1301, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*u - 150 = 2*k, -4*u = -2*k - 150. Let l = k + -55. Let r = l + 185. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602279531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 387274271 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*q - 38, -149 = -3*f + 2*q - 120. Calculate the remainder when 104 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 36220\/9048)*(-508)\/28. Let c = q - -1\/78. What is the second smallest value in c, 0.9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 23 - 28 = s, 3*s + 15 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36043 is divided by 1896.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 5*q - 13. Let n be x(-4). Suppose 3*c - 5*c = 4. Sort n, 1, c in ascending order.\nAnswer: c, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3795\/(-330)*20\/(-23)*(-5)\/2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 167, -1004, -4871, -12784, -26093, -46148, -74299?\n\"Answer: -225*a**3 + 2*a**2 + 398*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 3, s: 5, b: 2, k: 1}. What is prob of picking 1 t, 1 l, 1 s, and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596693.\nAnswer: 596693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 2*s - 35. Calculate o(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppwwqpqpweeeppeee. Give prob of sequence epq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 83*p + 79*p - 19, -5*t + 20 = 5*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/30 + 4*g**4\/3 + 64*g**3\/3 + 22*g**2. Let q(v) = -v**2 - 16*v - 64. Let j(i) = 4*m(i) + 7*q(i). Solve j(x) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 (base 12) in base 11?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 30*a. Let y(p) = 1730*p**2 - 180*p + 2. What is 6*f(i) + y(i)?\nAnswer: 1736*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576137443 to the nearest integer?\nAnswer: 24003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21*(20\/(-250))\/((-9)\/75)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -641? (a) 13 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.3041 - 12.204109. Let w = -15.1 + 16. Let x = u + w. What is x rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 462.6525 millilitres?\nAnswer: 0.4626525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15193, -30640, -46065, -61474, -76873, -92268, -107665, -123070?\nAnswer: -138489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20\/a**(-20) assuming a is positive.\nAnswer: a**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - (-26)\/(-6)) + 158\/6 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60114 is divided by 719?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a, 2*a - 1 = -5*y - 3. Suppose 5*b - b - 4*h - 72 = y, 0 = 3*h + 3. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*c = o - 1629, -2*c - 642 = -2*o. Let u be (-4)\/7 + o\/126. Suppose 75 = 5*x - u*l + 9, -5*l = 3*x - 21. Solve -z = -4*z - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 16 - 0. Let o(k) = -2*k + 5*k + 8*k**2 + 3 - 7*k**u + 19*k. Let a be o(-22). Solve -a*n = -2*q + 15, -3*q = -5*n - 8*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -196 (b) 0.014 (c) -129 (d) -3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41878, -83804, -125730?\nAnswer: -167656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0256 + 107.9256. Let v = n - 108. Which is the nearest to 1? (a) 13 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 103*j + 2529. What is m(-25)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1601 = 4*v + c, 15*c - 2 = 13*c. Suppose -b = -q - 3*q + 806, -b = 2*q - v. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, b: 9}. Give prob of picking 2 b.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) -0.1 (b) 0.4 (c) -462 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -101*k + 1187 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j - 9. Let b be v(-6). Suppose -5*q + b = d, 2*q - 3*q - 4*d + 26 = 0. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 12*k + 0*k + (5 + 2 - 5)*(-k - k + 3*k))*(-3*k + k - k).\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 6*b - 1. Let p(c) = 2*c**2 + 30*c + 5. Let a(j) = 10*m(j) + 2*p(j). Let w(r) = 160*r. Calculate a(w(y)).\nAnswer: 358400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1123117, -1123112, -1123107, -1123102, -1123097, -1123092?\n\"Answer: 5*u - 1123122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 21 = 0. Let m(d) = 6*d - 5. List the prime factors of m(q).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*m + 604*m - 6 + 647*m - 176*m.\nAnswer: 1825*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 1. Let w be x(5). Let p be 39\/2 + (-6)\/24*-2. Let f be (w\/p)\/((-15)\/10). What is the third biggest value in 0.4, f, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 39. Let n = -0.014302 - 23.036698. Let u = n - f. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3832*y = 3829*y + 126. Suppose -3*l = -44 - 91. Suppose l = 2*z + z. What is the remainder when y is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 29 - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 44*z**4 - 96*z**3.\nAnswer: -4*z**3*(z + 3)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7154 is divided by 102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o - a + 8 = -26*o, -4 = -4*o - 2*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/360 + b**5\/30 - b**4\/12 + b**3\/3 - 2*b**2. Let s(u) be the first derivative of m(u). Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-30)*(-3 + 124\/48)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 + 1\/105*l**7 + 1\/5*l**6 + 0*l**5 + 50*l**2 - 1. Factor x(n).\nAnswer: 2*n**3*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*y = -40, -283*q + 287*q = 2*y. Which is the closest to 2? (a) q (b) -1\/5 (c) -20 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (3*(-46)\/(-6))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1064.5 - 1064.4529. Let g = -5.7 + 5.6736. Let d = g + l. Round d to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 0)*(5*a + 0*a + 0*a)*(-1 + 1 - a**3) as c*a**4 + n*a + m*a**2 + f*a**3 + g and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let v be b(9). Find the second derivative of -10*h**2 + 10*h**2 + h - 2*h**v wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455690607 divided by -65937.\nAnswer: -6911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*(-2)\/11. Let f = -0.01 + -0.095. Let h = 0.095 - f. Which is the second biggest value? (a) h (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -254.97595.\nAnswer: -50.99519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-30))**24\/(h**(-8))**(-9))**15 assuming h is positive.\nAnswer: h**(-11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483285, -483544, -483803?\nAnswer: -484062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(70)\/(sqrt(20)\/sqrt(4)))\/(2*sqrt(7)*-3))**2*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**4 + 0*k**2 + k**2 - 2*k - 4*k**4 - 1 - k**4 to d*k**4 + x*k**3 + r + s*k + v*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l - 6 - 1\/3*l**4 + 1\/2*l**2 + 1\/3*l**3. Let q(w) be the second derivative of j(w). Differentiate q(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b44119 (base 12) to base 3.\nAnswer: -1000210110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6341 and 2611.\nAnswer: 44387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1156*g**4 - 7208*g**3 + 12052*g**2 - 2544*g + 144.\nAnswer: 4*(g - 3)**2*(17*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18549868, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 6*n - 6*q, 60912*q - 60907*q = -3*n + 27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(200) + 0 + -3).\nAnswer: -40*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 60*x**2 - 183*x + 129. Give o(-21).\nAnswer: -3966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, g: 1, i: 5, j: 3, y: 1, a: 1}. Give prob of picking 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25264 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than -811\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 242?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-98)\/(-12) - (-3)\/9. Let p = -1\/6 - r. What is the common denominator of p and 71\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-663)\/(-78))\/(1 - (-30)\/(-28)). Let w = 121 + a. Solve 0 = -2*u + u + w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 404\/7511 - 5\/259. What is the third biggest value in -1, z, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1035 - -241. Let s = h + 798. Solve s*g - 5 = -21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*o**3*u**2 - 17704*o**3*u + 10*o**3 - 2*o**2*u**2 - o*u**2 + 148*u**2 wrt u?\nAnswer: 382*o**3 - 4*o**2 - 2*o + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78165 - 2?\nAnswer: 78163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 times -8386?\nAnswer: 10650.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/360 + x**5\/24 - x**4\/4 + x**3\/6 + 2*x**2. Let r(k) be the first derivative of o(k). Give r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 - a. Let h(t) = -13*t**5 - 96*t**4 - t**3 - 4*t**2 + 148*t + 1. Let z(b) = -h(b) + w(b). What is the third derivative of z(q) wrt q?\nAnswer: 780*q**2 + 2304*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 157 = -q, 2*m - 25 = m - 3*q. Let g(x) = 31*x - 2*x**2 - m*x. Let r(k) = -12*k**2. What is g(r(y))?\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 134?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 4, r: 7}. Give prob of picking 1 q and 2 r.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 7199.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - j = 2*z - 77, 0 = -5*z + 4*j + 92. What is the remainder when 29 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let g be m(1). Let b be ((g - 2) + 2)*-1. Suppose h + 2*h - 21 = b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 + 3*q - 2. Let l be t(1). Let u(a) = a**2 - 6*a - 10. Is u(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*o + 19 - 7, -3*o = t + 8. Let x be t\/(-1) - 2\/(-2). Calculate the remainder when 27 is divided by (x\/(12\/(-112)))\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 1488*z**2 - 184512*z - 7626496.\nAnswer: -4*(z + 124)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (101889\/(-81) - -5)\/(4\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 342497*i**2 + 346415 with respect to i.\nAnswer: 684994*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.9, -1\/4, -105, -2, -3\/2, 5\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22867331 to the nearest integer?\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m, -74*q - 4*m + 790 = -69*q. What is the remainder when q is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j*j*j*j)\/j**(3\/4))\/(j\/(j\/(j*j*j\/(j\/j**(2\/23))*j)))**(4\/9) assuming j is positive.\nAnswer: j**(-5897\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 6*o - 7. Let w be l(-6). Let p(h) = h - 2. Let k(g) = g - 2. What is w*k(u) + 6*p(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + -2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 63 (c) -5 (d) 2\/9 (e) 5020 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from ygeyyygygggygyygggy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)*-5 - -1*(sqrt(99) + sqrt(11) - sqrt(11))) + -3*1*sqrt(396))*-3)**2*-4.\nAnswer: -247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 3. Let z(h) = -h - 175. What is t(z(q))?\nAnswer: -3*q - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -739, -779, -845, -943?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-10))\/3*15682. Let r = -4568 + t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let d(t) = -t**2 - t. Let n(q) = -5*q**2 - 15*q + 2. Let b(a) = -4*d(a) + n(a). Let u be b(-11). Solve -l*w = u - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 17*h + 11. Let s = -106 - -102. Let y(w) be the first derivative of 2 + 3*w**2 - 1\/3*w**3 - 4*w. Calculate s*o(u) - 11*y(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 6*g - 6*g)*(0 + 0 - 2*g**2)*(-1 + 1 + 3).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 408688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Let m = -2169\/4 - -542. Let d(n) = n**2 - 4*n. Let l be d(5). What is the third smallest value in l, w, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 903 = 3*h - 9*k, 4*k - 594 = -2*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from ffffffffffsf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2140, 8369, 18668, 33037, 51476, 73985, 100564?\n\"Answer: 2035*i**2 + 124*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -1)\/(0 + (-6)\/(-7796)). Let y = -2045 - t. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3\/4, -0.5, -2\/159, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/19 + 1906*g**2\/19 - 178708*g\/19 = 0. What is g?\nAnswer: -1039, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-96)\/(-84)*49\/14*478 and 4780?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 323771?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/4440 and 59\/479000.\nAnswer: 53169000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:38 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-15) + -89 + 78.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h)*(5*h**4 + 2*h**4 - 3*h**4) + (-4*h**2 + h**5 + 4*h**2)*(2 + 0 - 1).\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r + 2. Let l be f(-2). Suppose -3*h - 33 = -l*h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, -11, -3385?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**3 - 64*s**2 - 220*s + 288 = 0.\nAnswer: -9, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 84*g**3 + 10*g**2 - 74*g - 20 = 0.\nAnswer: -5\/6, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:11 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2 + 8. Let b = -3 + 10. Suppose -20 = 3*w - b*w. Let s(l) = l**2 + 4*l**2 - 5 - 2*l**2 + 4*l**2. What is w*m(r) + 8*s(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12223 + 12302?\nAnswer: 24525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 902759867 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -93*u - 3. Let i be f(-4). Let m = -6.1459 + 6.2459. Do i and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 + -100?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.25 + -37.55. Which is the closest to z? (a) -1 (b) -0.4 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:06 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12049 is divided by 574.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from gdvqqqa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 17*d**2 - 3*d + 9. Let l(s) = 7*s**2 + 4. Let b(c) = 2*f(c) - 5*l(c). What is b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -19*f - 819. Calculate h(-19).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 + 94. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 2. Let a be (-1)\/p + 154\/4. Let m = 93 - a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -13*d + 3848. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/111, 10 in ascending order.\nAnswer: -1\/2, 2\/111, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3212.849 to the nearest integer.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/40 - 68\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -208, -437, -754, -1159?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 21. Let h be (2\/(-5))\/((-8)\/240). Calculate the greatest common divisor of h and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 398 = 2*g. Let x = g + 267. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p**3 - 70*p**3 + 214*p**3 - 75*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 7*w - 3*w)*(-2*w**4 + 2*w**4 + w**4) + (-5*w**2 + 3*w**2 + 0*w**2)*(w - 2*w**3 - w).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*sqrt(612) + sqrt(612)) + sqrt(612))*-5)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 38694506.31 to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272354 - -2989563\/11. Let h = c - -575. Let q(r) = -r + 8. Let j be q(6). What is the nearest to -2\/9 in j, 2\/21, h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 24. Let o be (u\/(-28))\/3 + 0. What is the closest to o in -0.2, -2\/11, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.7*-2821.83\nAnswer: -7618.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 177? (a) -0.06 (b) 2\/13 (c) 2.07 (d) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let a(l) = 4*l**3 - l**2 - l + 1. Let i be a(1). Suppose -4*o + 14*o = 30. Let c(u) = i - o + 3*u**2. Calculate r(c(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -8. Let h = f - 0. Suppose h*b + 303 = q, -q + 133 = 3*b - 198. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f - 193*f - 429 = -51*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 718 and 3949?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5825.34 times -0.169\nAnswer: -984.48246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50779 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. Sort 0, 1\/4, 3, j in descending order.\nAnswer: j, 3, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 317 = -5*j, 3*a + 272 = 4*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 129937 (c) 0.07 (d) -1\/4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 16, 18, 20, 22, 24?\n\"Answer: 2*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-12)\/(-8)*-6 + -2). Suppose -8 = 3*q + z, 0 = -q + 2*q + 5*z + s. Sort -3, 0, q, 2 in increasing order.\nAnswer: -3, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2*w + 8859*p**2 - 932*w + 3 wrt p.\nAnswer: 4*p*w + 17718*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -13036.\nAnswer: -6518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m + 10. Let x be l(-7). Suppose -x*i = -14 - 10. Solve -2*u = -5*u - 5*g + 20, -2*g + i = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/117 and -1\/3603816.\nAnswer: 46849608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*q**3 + 472690*q**2 + 241381900*q + 53617080 = 0. What is q?\nAnswer: -9966, -538, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 3. Let w be a(-8). Suppose -3*k - w = -3*g, k + k = -5*g - 7. Let q(f) = f**2 + 6*f + 6. What are the prime factors of q(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 8*g - 8. Let j(x) = x + 1. Suppose -o - 2*o + 23 = -5*n, 3*n + 3 = 0. Suppose o - 11 = -5*v. Determine v*a(p) + 8*j(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3347 in -5, -0.1, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 36414*y - 218584. What is s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 30, -2\/5, -0.104, -22, -3 in descending order.\nAnswer: 30, 1, -0.104, -2\/5, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -93*p**6\/10 + 335*p**2\/2 + 33*p - 2. Differentiate r(t) wrt t.\nAnswer: -1116*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5909 to 2 decimal places.\nAnswer: -2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -19. What is the closest to 0.1 in u, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 - 11010001101000000?\nAnswer: -11010001101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4554923428 to the nearest integer?\nAnswer: 67490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543.0000002815 + -543. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**2 + 79*p + 32. Let u be g(6). Solve -u*m = 4*t + 20, 0 = -m + 5*t - 6*t - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16142 (base 8) in base 14?\nAnswer: -2910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12a16 (base 11) to base 3\nAnswer: 221102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309.5 + -309. Suppose 0 = -2*h + h. Suppose h*z - 3 = z. Which is the closest to -2\/5? (a) z (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d - 2. Let h be u(5). Suppose 5*g - 57 = h. Solve -s = -2*w - 8, -2*w = -2*s - 2*s + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 214\/85 + 1442\/(-12257). Find l, given that -2\/5*l**2 + 0 - 18\/5*l**4 + 8\/5*l**5 + q*l**3 + 0*l = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9747*r + 994233. Calculate v(-102).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + k + k)*(2*k + 0 + 0) + 27268*k**2 - 74*k + 2 + 1 - 27252*k**2 - k**2 + 2*k**2 + 2*k**2 as n*k + w*k**2 + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, 0.04, 35, -5 in decreasing order.\nAnswer: 35, 0.04, -0.33, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -7\/2*v**2 + 39 + 0*v. Let o(r) = 2*r**2. What is o(u(x))?\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -6 - (-110 + 149).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 21*t**2 + 12*t + 12249. What is d(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-7) + (-2)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 1700*h**2 + 154160*h - 1613760.\nAnswer: 5*(h - 164)**2*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:16 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let w(i) = 3*i - 4*i + f*i. Let p(c) = -c**2 - 48*c - 42. Let g be p(-47). Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6997 is divided by 382.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:30 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = 2*n + 35 + 9, 97*v + 0 = 95*v + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 + 10 = -3*m, -10 = -k + 2*m. Let r be (-1)\/2*-2*1. Suppose s + r = k*s. Sort s, -2, -4 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2.656.\nAnswer: -0.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:23 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*-2 - sqrt(77))\/(-1*(sqrt(11) - sqrt(275))) + (2*sqrt(84)*1)\/(1*sqrt(1728)))**2.\nAnswer: 1183\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1798, -2, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**4 + 3*b**4 + 2*b**4)*(-2*b + 0*b - 2*b) - 2*b**4 - 2*b**5 + 2*b**4.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 7 = -3*o + 131, 11*o = 4*y - 68. What is the remainder when 302 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -0.73568.\nAnswer: -12.73568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304 + -456. Let j = k + 162. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6418737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40\/3 - -14. Which is the third biggest value? (a) 0.1 (b) -0.07 (c) z (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9056 (base 12) to base 3.\nAnswer: 210102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-3)\/(-27))\/(16\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027271461 plus -0.288?\nAnswer: -0.315271461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 8) in base 15?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595.036 + -0.036. Let l = a - 594.186. Round l to 2 decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*f - 5964 = 250*f. What is the remainder when 254 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + ((sqrt(88) - (sqrt(88) - (sqrt(88) + -6*sqrt(88)*5 + sqrt(88))))*6)\/(2*sqrt(72)\/(sqrt(9) + 2*sqrt(9))).\nAnswer: -252*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/5 + 19*1. Differentiate 5 + k*i - 4 - 26*i - 4 wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + y + 11 = 0, -4*a - 4*y + 5 = -23. Suppose -29 = -13*x + 10. What is the smallest common multiple of a and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77))*3)\/sqrt(7).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130 and 3.64.\nAnswer: 473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 332 + -331.935. Let u = -563 - -559.065. Let l = u - o. Which is the third biggest value? (a) l (b) 2\/19 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - 0*d. Suppose 2*s = 2*a - 10, 0 = -6*a + 3*a - d*s - 1. Factor -2*y + 3*y**a + 3 + 6*y**4 - 5*y + 4*y - 9*y**2.\nAnswer: 3*(y - 1)*(y + 1)**2*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(3 + (-5 - (-9)\/3)). Which is the fourth biggest value? (a) 2\/5 (b) -3 (c) -2\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*4\/((-12)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4868 divided by -412\nAnswer: -1217\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 329*v**6\/6 + 90*v**2 + 346. Find the second derivative of f(k) wrt k.\nAnswer: 6580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = r + 2*r + 4*s, 5*r - 165 = 5*s. Suppose -4*d = -3*i + 147, 0*d - r = -i - 3*d. Is i a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:25 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*1)\/(0 - (-4)\/10). Suppose 4*s - 2*h = 3*h + 23, 0 = 2*s - h - 13. Solve y + 5 = -2*m - 4*b, m + 4*b = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47159 divided by 2?\nAnswer: 47159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92496782 greater than or equal to 1017464604\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:20 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6456 - -2126?\nAnswer: 11615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 63790938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**4 + 62*j**3 - 7*j**2 - 7*j - 2243. Let l(u) = 2*u**4 + 21*u**3 - 2*u**2 - 2*u - 747. Let p(a) = -2*d(a) + 7*l(a). Differentiate p(b) wrt b.\nAnswer: 8*b**3 + 69*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*m = 22 + 48, 4*f = -3*m - 84. Put -5, -14, f in increasing order.\nAnswer: f, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - 142)\/(2\/8 + 62\/(-124)). Solve b*w = 585*w - 66 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30048)\/(-320))\/(6\/180). Calculate the greatest common factor of w and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1831823 and -5\/65814?\nAnswer: 10990938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/((-3)\/6). Let f be c + -1 + 23 + 3. Suppose 3 = -4*k + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/212)\/(((60\/16)\/(-3))\/(2140\/(-1284)))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -5. Let o(u) = 5*u + 8. Let s be o(6). Let z = a + s. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.213 and -2968.667?\nAnswer: 2968.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*a + 335*a = -j + 3, 3*j = 2*a + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1156 - 1151. Let i = -3 + 6. Solve -i*q = 5*r - 5, -10 = 3*q + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 - 2*v**2 + 1. Let i = -9 - -12. Suppose -2*x = -m - 57, 0*m + 4*m = i*x - 208. Let o = -48 - m. Calculate h(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 11.6596309601.\nAnswer: 19.6596309601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 177*a**2 - 7 - 181*a**2 + 15*a - 26*a.\nAnswer: -4*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/98736 and -16\/67881.\nAnswer: 1086096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*y - 327*y + 3*d = -171*y + 89, 23 = 2*y + d - 4*d for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osoxnsooodoodo. Give prob of picking 1 o, 1 x, 1 d, and 1 n.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -156705?\nAnswer: -156705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 601466167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18\/13579, -3 in ascending order.\nAnswer: -3, -18\/13579, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**4 - 5*k**4 - 98 - 41*k**3 + 44 - 21 wrt k?\nAnswer: -12*k**3 - 123*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-25)*(67 - 32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.68 and 0.577?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107462*z = -1107371*z - 819 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 (base 10) in base 2?\nAnswer: -1100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 + 0.4. Let a be 8\/(-40)*-3*1. What is the smallest value in a, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 10\/9, -180, 0, 0.12, -2\/3, 1\/2, -0.3?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 - 10403.\nAnswer: -10298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5276 + (76 - 6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*z + 100*z - 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4, 4*x + x = b + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 24*y**2 + 65*y + 2. Let l be f(8). Let m = 165 + 5. Calculate the highest common factor of m and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 21. Suppose 0 = -955*u + 957*u - 5*k - 344, 4*u + k - 710 = 0. Calculate the remainder when u is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 42.2. Which is the closest to 1\/9? (a) -0.5 (b) y (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9405 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 170 = -251. Solve 0 = v - 3*w, -11*w - s = -4*v - 8*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5 + 6)\/((-80)\/(-140))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26056, 26055, 26058, 26065, 26076, 26091, 26110?\n\"Answer: 2*v**2 - 7*v + 26061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - i - 7 = 0, w = -2*w + 4*i - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -54. Suppose 0 = -3*x + 3, l = 3*y - 7*y - x + 13. Let m(n) = -n + 6. Let j be m(6). Solve j*r - 2*p + 7 = y*r, -14 = -4*r - 5*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 197.8.\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7604444377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030 (base 4) in base 14?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 1. What is the remainder when c is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/248 and -77\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (2 - 0) - -16. Let z be (154\/(-35) + 5)\/((-2)\/10). Let p = z + j. Sort 4, p, 3 in decreasing order.\nAnswer: p, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0 = -4*z + 2*i - 3*i + 5, 46*z + 380 = -25*z + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1495)\/(-8) + 5\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.0017 months in centuries?\nAnswer: 0.70583475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -2.7, -0.073, 0.07, 0.2?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-3)\/(((-1)\/3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16\/a)**(-6\/7) assuming a is positive.\nAnswer: a**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 56 - 87*u - 14*u - 151 - 82*u.\nAnswer: -183*u - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1609*j. Let w(m) = 6*m**2. Calculate w(x(o)).\nAnswer: 15533286*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 4. Let w be 5*(-4 - 44\/(-10)). Suppose 2*u + 0*q + w*q - 20 = 0, u = 4*q. Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*m + 18 = 0, m + 0 = -f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2090?\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -25. Let v be (g\/(-5))\/((-21)\/(-1050)). Is 41 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*w - 202*w + 646 = -473*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1769*q**5\/5 + 4*q**3\/3 - 236*q**2 - 4945. What is the third derivative of b(a) wrt a?\nAnswer: -42456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 148. Is -90 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/12936 and -59\/675.\nAnswer: 2910600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000316 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -61*u - 2. Is 12 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*y - 3 = -0*y, -5*y = -3*q + 11. Let g be q\/(-15) - (-157542)\/(-135). Let z = -1169 - g. What is the common denominator of z and -47\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 28*i - 50 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-15)*-3)\/((-2)\/19). Suppose -4*k = a - l, -a - 2*a + 3*k = 18. What is the units digit of a\/((9\/24*4)\/(-93))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1404, -2834, -4292, -5778, -7292, -8834, -10404?\nAnswer: -12002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 23, -10, -49, -94, -145, -202?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z - 4. Let m be u(-3). Which is smaller: 3\/5 or m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14497161.\nAnswer: 3, 7, 690341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3, 9\/2, 1, -0.4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35791?\nAnswer: 7, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 743960 and 840.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 116 - 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 222*i - 11408\/7.\nAnswer: 2*(i - 31)*(i + 8)*(i + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1700.02345 to one decimal place.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 4*c - 22, 4*t = 3*c - 3. Is t at least as big as 0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/5)\/(h\/h**(-8\/15)) assuming h is positive.\nAnswer: h**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461.6846s in minutes?\nAnswer: 24.36141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314922144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17550225 by -63.\nAnswer: -278575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/(-164) + 4598\/4. What is o rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose -r*f + 7 = -5. What is the second derivative of -8*s**4 - 9*s**4 + 13*s**f + 5*s wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = l, 0*z = z + 5*l + 3. What is the closest to z in 6, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.23, -7.997?\nAnswer: -7.997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 2502928*c + 783081071648 = 0. Calculate c.\nAnswer: -625732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**3)**(-7\/5) assuming h is positive.\nAnswer: h**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29287 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 y be ((-3267932)\/240 - (-3)\/36)\/8. Let k = y + 1702. Suppose -2*b - 5 = -3. Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*p = 28, 1770*j = 1775*j - 4*p + 52 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 91 (b) 2 (c) -2 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114091 and 1355?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -60. Suppose 55*i - 64*i - 2*c + 6691 = 0, -2*i - 3*c = -1469. What is the remainder when i is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120819\/11730 + (-1 - 12\/(-10)) - 8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 11*c**2 - 12*c. Give g(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 10:01 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let w(a) be the third derivative of -67*a**4\/12 + a**3\/3 + 349*a**2. Give w(g(n)).\nAnswer: -134*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 8*l**2 - 7*l - 247. Let u(g) = g**3 - 6*g**2 + 6*g + 246. Determine 3*s(z) + 4*u(z).\nAnswer: -2*z**3 + 3*z + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 - 12*w + 15. Let h(d) = -d**3 - 4*d**2 + 12*d - 16. Let y(x) = -4*b(x) - 3*h(x). List the prime factors of y(-8).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100010 + 11?\nAnswer: 100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30732.5 rounded to the nearest 100?\nAnswer: 30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -5, 32, 95, 184, 299?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Let g = 57 + -54. Suppose o = -4*j + 6 + 27, -g*j + 26 = 2*o. Put 0.5, i, j in ascending order.\nAnswer: 0.5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k - 39*k + 28*k + 5 + k**2)*(2*k**3 + 2 - 2) - k**5 - 4*k**3 + 4*k**3 - k**3.\nAnswer: k**5 + 8*k**4 + 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 759948 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 2:10 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1410665 and -93\/50?\nAnswer: 14106650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1359*h**3 - 2144999*h**2 + 2144999*h**2 - 3*h**3 + h**3 + 0*h**3 + (h**2 + h**2 - h**2)*(-2 - h + 2) to w*h + o*h**3 + v*h**2 + k and give o.\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316073641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u*v**2 - 8*u*v - 65*v**2 + 7*v + 11 wrt v.\nAnswer: 4*u - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 88.7. Put z, 0.2, 3, -1\/3 in descending order.\nAnswer: 3, z, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 13585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 285*t**3 - 2*t**2 + 63. Let g(n) = 287*n**3 - 3*n**2 + 78. Give 4*g(b) - 5*w(b).\nAnswer: -277*b**3 - 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 10, 0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*u - 4, -5*v = -10*u + 5*u. Let i be (6\/42*0)\/(-4). Suppose 4*q - 2*q - u = i. Solve -8 = -2*g + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 21267*t**2 - 37594557*t + 19678598445.\nAnswer: -3*(t - 4735)*(t - 1177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -521932.\nAnswer: 3\/521932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64*(-27*(-20)\/2160 + (-3)\/(-12)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31422519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*((-176)\/(-24))\/(-11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmmyywzss. Give prob of sequence zwy.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - w + 12*w**3 - 20*w**3 as p*w**2 + n*w**3 + v*w + j and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -0.1. Let k = m - 0.4. Let j = -53 - -54. Which is the closest to j? (a) -5 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 2 + 2 + (2*n**2 + 2*n**2 - 5*n**2)*(-4*n + n + 5*n) + 8*n**3 - n + 2*n + n**3 to i*n**3 + k*n + z*n**2 + c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-6 - (0 + -6 - -8 - 14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/2897 - -5776\/8691. Which is the closest to n? (a) 9 (b) 2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242565 (base 8) in base 7?\nAnswer: 464623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 164*v**2 - 204*v + 19477. What is u(-162)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3.5?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/1*-3*(-37725)\/(-100) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15727212 divided by 22993\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d - 6. Let r be q(-5). Let c(f) = 2*f**3 + 2*f**2 - 4*f + 3. Let v be c(1). Solve -2*i = -r, h + i = v*h + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(1100)*-2)**2*1*2.\nAnswer: 79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/(w\/(w\/w**(-1\/2))))**(12\/7)*(w**(-2\/11)\/(w*w**(-6\/11)\/w))**(-30) assuming w is positive.\nAnswer: w**(150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238174 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11807 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 258 + 242 - 500.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-9)*42\/504 and -37\/369.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5939925 is divided by 1979792?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 13531609.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 64 = 14. Does 23 divide ((-713)\/(-31))\/((-2)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.468679 to three decimal places.\nAnswer: -4.469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2 + 6. Suppose -s + 75 = 4*v, s - k = 3*v - 59. What is the common denominator of v and 81\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7232 - -470103\/65. Find the common denominator of x and (18 - (-10 + 15))*1\/45.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) -1 (c) 0.5 (d) 42328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1975?\nAnswer: -197a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28099?\nAnswer: 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 4 (b) -2 (c) 0.048 (d) 0.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-3))\/((-4)\/(-6)). Which is the nearest to -0.1? (a) i (b) -5\/4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + j + 2. Let r = -9 - -47. What is the remainder when r is divided by o(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 27*v**3 - 16*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -151179, -151150, -151117, -151080, -151039?\n\"Answer: 2*m**2 + 23*m - 151204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 176, 397, 708, 1109, 1600?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(5 - 9). Suppose -14 = o*y - 4*l + 6, -3*y - 3*l = -9. Let q be 4 + y - (4 - 2). Calculate the greatest common factor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003311 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 6*b - b)*(2 - 1 - 4)*(0*b - b + 3*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**2 - 17*c - 1. Let s be h(7). Suppose 2*j - 4*m - 174 = 0, -4*j - 6*m + 3*m = -s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:02 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let l(y) = -105*y**2 + 123*y + 34*y - 31*y. Let g(u) = u**2 - u. Let r(f) = 126*g(f) + l(f). What is p(r(c))?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10095, -10197, -10299, -10401, -10503, -10605?\n\"Answer: -102*r - 9993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Suppose -5*f + 2 = -o - o, -5*f + 10 = y. Solve -o*k + t = -22, -13 - 3 = -2*k + 3*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**5\/120 - a**4\/24 - a**3\/3 + 1. Let p(g) be the third derivative of m(g). Let z = 1 - -2. Give p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1675732 to 3 dps.\nAnswer: -1.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -892b0?\nAnswer: 892a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 13*t**2 + 2*t**2 - t**2 + 7*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -43*g**2 - 2. Let d(y) be the second derivative of 7*y**4\/2 + 3*y**2\/2 + 824*y + 1. Give -4*b(t) - 3*d(t).\nAnswer: 46*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*a**4*f - 20415*a**4 + a**2*f - 13*a**2 + 1978*a*f - 2*a - 79*f wrt a.\nAnswer: 3384*a*f - 489960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**13\/y*y*y**3\/y)\/(y**(7\/3)\/(y\/(y*y**0*y))) assuming y is positive.\nAnswer: y**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(4\/(-42)). Let o = 7 + -17. Let y = x - o. Solve -2*p - 25 = y*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87668419?\nAnswer: 887, 98837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0523407 to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9378 and 207.\nAnswer: 215694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. Let w be (-1)\/(u*(-2)\/(-12)). What is the units digit of 1\/((-2)\/(-6)*w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + -4 + (0 - (-5 + 16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4104 * 6.515.\nAnswer: 26737.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 14*o**2 + 17*o - 43. Suppose 0 = -f - 6*t + 2*t - 7, 3*f - 34 = -t. Let k be j(f). Solve -z - k = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326653.2um to millimeters.\nAnswer: 326.6532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19098711?\nAnswer: 3, 2122079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 6278797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2878 divide 48974926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-57)*(-64)\/(-96).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 2*o - 1. Suppose -6*d = -d - 5. Let f be d\/3 + (-5)\/(-3). Determine t(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**3 + 0*t**3 + 0*t**2 + t**2)*(-139 + 1 - 85)*(1 - 2 + 2) in the form c*t**3 + p*t + o + j*t**2 and give j.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -9, -33, -67, -111, -165, -229?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 28. Let k be u(-8). Let h be 0\/(k + -2) + (-16)\/56. What is the third biggest value in h, 0.07, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 1680*n - 105840 = 0. What is n?\nAnswer: -252, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**1\/t)\/t)\/t)\/t*t**(3\/10))\/(t\/(t\/((t**(-13)*t)\/t))*t\/(t**(1\/11)*t)) assuming t is positive.\nAnswer: t**(1143\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.425 + -1.425. Which is the third biggest value? (a) 5 (b) 2\/17 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**3 - i**2 + i. Let r be p(1). Let h(y) = -y**2 - 5*y - 2. What is h(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2)*2 + (sqrt(57)*-2)\/sqrt(3))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 39, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3 - (-2)\/(-6)*21. What is the second smallest value in -1\/27, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 9*f - 3. Calculate l(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 5*x - 6*x. Calculate the remainder when x is divided by (-196)\/(-28)*54\/4*(-4)\/(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 + 9*o + 12. Let f be s(10). What is the nearest to f in -2, -0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117653351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2. Let i(f) be the first derivative of -f**2\/2 - 26. Determine i(o(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 - -414. Calculate the greatest common divisor of 42 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 81?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -154 (b) 5 (c) -2\/899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 3*q - 9. List the prime factors of t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3921, 3694, 3467, 3240, 3013, 2786?\n\"Answer: -227*v + 4148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/9 (c) 22\/117 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-66 + 37)) + -56 - 14\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5584 = -4*t, 1522 + 1260 = 2*t + 3*x. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 + 3*q - 1. Let j be p(-6). Let c = -19 - j. Suppose 0*r + 6*r - 78 = c. Calculate the remainder when 23 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, 17, 5, 13 in increasing order.\nAnswer: -1, 5, 13, 17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 13362.\nAnswer: 841806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 - 300. What is the nearest to l in -3, 10, -0.01, 2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + -0.06. Let x = 0.261 - 0.231. Let t = b + x. Which is smaller: -0.2 or t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 4. Is 16 a factor of (-2)\/(((-1)\/8)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 150. Which is greater: f or -85?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 162173.\nAnswer: -1\/162173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (11 + -24 + 62 + -3)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/336 + 487*m**7\/210 + 17*m**4\/24 - 58*m**2 + 1. What is the second derivative of p(n) wrt n?\nAnswer: -20*n**3 + 5844*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/4 - r**4\/2 + 3*r**3\/4 + r**2 - r.\nAnswer: -r*(r - 1)**2*(r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 63\/6 - 1\/2. Let o be (-4)\/b*(9 - -6). Let d(w) = -w**2 - 4*w + 7. Let n be d(o). Is n less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2256\/7 - -322. Let b = 40 - 199\/5. What is the biggest value in 0.4, b, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -11?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from yzzztyzty.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1715 (b) -1\/200 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 760 and 3.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*w + 2*i, -2*w + 21 - 1 = 3*i. Sort 3, -2, w, -53 in descending order.\nAnswer: w, 3, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 67, 126, 185?\n\"Answer: 59*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -307 + 55. Let z = x - 32. Suppose 6*y + 6 = 36. Solve -3*p - 3*w + z = p, -y*w = 3*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15135203 + 6?\nAnswer: -15135164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, m: 12}. Give prob of sequence maaa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j + 3. Suppose -j*p - 15 = -t - 3, 3*p = -3*t. Suppose -2*x + s = -27 - 1, t*x + 4*s = 42. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5254533 (base 7) to base 3.\nAnswer: 1012021202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25239831 + -16357874. Let z = w - 12466957. What is z rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -200, -298, -396?\n\"Answer: -98*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 327574.24 to the nearest one thousand.\nAnswer: 328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 + (-138)\/10. Let y be 8\/m + 4\/(1092\/177). Suppose -i = -0*i - 2*b - 1, 4*i = 5*b + 4. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 138008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2*k*(k*k**(-2\/7)*k)\/k*(k*(k\/(k**2*k*k))\/k)**(13\/3) assuming k is positive.\nAnswer: k**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18.6, 2\/25, -18\/7, 4 in descending order.\nAnswer: 18.6, 4, 2\/25, -0.2, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 + (-14)\/(-6). Suppose 5*v = -3*c + 2614, -d*v + 6*c = c - 1548. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 277 (b) 0.5 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 13*l**2 - 4*l**2. Let y(q) be the second derivative of -q**3\/6 + 492*q. What is y(a(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 237 + 108. Are y and 346 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 + 1\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 18 - (-554 + 683 + (1 - (2 - 14))).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (3 - (-4 - 6)). Calculate the least common multiple of 546\/27 + 2\/(-9) and 6\/i - 138\/(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (27\/(-3))\/1. Solve -2*a + b = 0, a - 3*a + 30 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219402 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/54, -12, -1, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 704112653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 12 - (16 + 8 + -10 + -5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*u = -266*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s + 143. Let v be w(7). Suppose -8 = 3*x - v. Solve -x*n - 3*n = 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 6 - -3 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 4*v - 13245 = 0. Let c = v - 4289. Let q = 2709 + c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 79623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 75 - 25 = 0. Let j(h) = -h - 9. Let l be j(-19). Calculate the highest common divisor of a and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 29. Calculate y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 667755973 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.12 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -3*u - u**2 + 1\/3*u**3 + 1. Factor b(m).\nAnswer: (m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 11*c + 2. Let h(u) = 3*u**2 - 2*u. Let b be h(4). Suppose -3*k - b = 5*t, -2*t - 3*k + 1 = 8. Let x be d(t). Solve 4*i = 2*i + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 9, i: 9}. What is prob of sequence pi?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r. Let o(n) be the third derivative of n**3\/6 - 1314*n**2. Give m(x) + 3*o(x).\nAnswer: 12*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -51. Find the third derivative of 28*w**2 + 8*w**3 - 40*w**2 - w**6 - 1 - y*w**2 wrt w.\nAnswer: -120*w**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*l - 67, -6*n + 2*n + 52 = -4*l. Suppose 2*a + 2*g = 108, -5*g - 231 = -2*a - 144. Calculate the greatest common factor of n and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107464 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 + 2 = -5*y, y + 18 = -4*n. Let c(z) = -5*z + 1 + 3*z**y - 1 + 5. Is c(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-10)\/(-6))*(-12)\/36. What is the biggest value in s, -117, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - -53 - (-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930240.5ml in litres?\nAnswer: 930.2405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 77 = -7*i. Is 15 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f**2 + 8*f - 5. Let p(i) = 8*i**2 - 10*i + 5. Let d(j) = -5*h(j) - 4*p(j). Let q(b) = b**2 + 1. Calculate -d(t) + 3*q(t).\nAnswer: -5*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186633 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: Suppose p + 0*w + 5*w + 293 = 0, 2*p - 2*w = -598. Is ((-2)\/(-4))\/((-1)\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 1931520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1815363*f**3 - 16241*f**2 + 5*f + 1.\nAnswer: -10892178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 129469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 256817.\nAnswer: 256817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(7*148)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238875 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -83.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 142 = -2*x, -4*q + 121 + 22 = 3*x. Suppose 3*l - 6 = 9. Solve 0 = -l*o + 5*c - q, 4*o + 0*c + c + 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3)**(-40)*b**17*b*b**19)**(-4\/11) assuming b is positive.\nAnswer: b**(332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + sqrt(684) + 2)*3 + (1*(sqrt(684) + -1 + sqrt(684)) + 3*-2*sqrt(684))**2 + 5).\nAnswer: -54840 - 330*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 5*a, -3*j + 5*j - 5*a = -5. Put -19, j, 5 in decreasing order.\nAnswer: 5, j, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/49 or 248327?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 2. Calculate s(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1122012 kilograms in tonnes?\nAnswer: 0.0001122012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 62777727.\nAnswer: -62777725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 290034811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 532 = -16*g + 127 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 bigger than -155179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 15*g - 145 = 0, 4*l + 757 = -2*g + 799 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 5 - (-7 + 1). Suppose -5 + 16 = 3*d + p, -s*p - 2 = -4*d. Solve -d*q - 24 = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296\/7 + 42. Let v be (-6)\/(-39) - (-76)\/13. Suppose -v*a + 5*a - 1 = 0. What is the closest to a in 2\/11, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (355\/(-2130))\/((-2)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xdxxddxdxxxd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -250614*l + 351. Let k(s) = -1432*s + 2. What is 2*b(c) - 351*k(c)?\nAnswer: 1404*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/14, -2\/7, -0.5 in decreasing order.\nAnswer: -1\/14, -2\/7, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qbcqksg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 717659068 to the power of 1\/3, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -22*i + 130. Solve 0*g + 3*k = -4*g + 13, -2*g + 2*k = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 3*v + 612. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 425 - 39*f - 425 + (-2 - 11 + 22)*(f + 0*f + f).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14722 - 10770. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - w**4\/3 + 11*w**3\/6 - w**2. What are the prime factors of g(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 515, 1153, 2045?\nAnswer: 3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2512928, -5025858, -7538788, -10051718?\n\"Answer: -2512930*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/2250 and 151\/3150.\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/89027 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 8502*q + 50940.\nAnswer: 2*(q - 4245)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:29 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcgnggncngcgcgv. What is prob of sequence ncv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 - 6*y - 4. Let t be w(7). List the prime factors of (-2 + t)*(1 + -2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -26, 63, 240, 535, 978, 1599, 2428?\nAnswer: 3495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-5)*n)\/(((n**(-2\/13)\/n)\/n)\/n)*((n*(n\/n**(-6))\/n*n)\/n)\/n**(-7) assuming n is positive.\nAnswer: n**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66347 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: Is 8 a factor of 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*k**3 + 445*k**3 - 119*k**3)*(k - 5 + 5)*(-2*k - k + 2*k).\nAnswer: -137*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 130*b.\nAnswer: -2*b*(b + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2756 - 2758. Suppose 0 = -3*k - 12, -3*d + 3*k = -d + 438. Calculate the common denominator of 0 + y + d\/12 and 64\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -13*k + 19*k. Which is the closest to k? (a) 0 (b) -2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2220, -3, 0.5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h - 3. Let a be 4\/6 - (-28)\/12. Suppose a*o = 6*o + 24. Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, 2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 7 + 6 = 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2. Let r(i) = -i**2 + 1. Let q(j) = 6*j**2 + 2. Suppose -4*c + 3*m - 1 = 0, 6*m - m + 7 = -2*c. Let n(o) = c*q(o) + 2*r(o). What is n(t(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:55 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323 + 1?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*h + 7*h - u + 45, -h - 2*u = 25 - 35 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13044 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlnl when four letters picked without replacement from {p: 11, e: 5, n: 2, l: 2}?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 24 = q + n, 0 = 4*q + n - 84. Suppose -2*k - 2*b = -b + q, 3*k - 3*b = -39. Let x = 18 + k. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003792997 to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**4 - 5*n**4 + 3*n**4)*(-1500 + 1744 + 2489) to the form j*n + p*n**3 + s + a*n**2 + m*n**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -102. Suppose -4*q + j + 62 = 0. What is the greatest common divisor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from {y: 2, x: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 35. Suppose 4*s - 2*r = i, -3*s - 2*s + 10 = -5*r. List the prime factors of ((-12)\/(-15))\/(s\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136117 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*i. Let l(w) = 3 - 6 + i*w + 2 - w. Let p(g) = -13*g + 16. Let n be p(1). Calculate l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*o - 45, -4*k + 73 = 5*o - 0*o. Solve -6*w + 13 + o = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3211, -5556, -7043, -7666, -7419?\nAnswer: -6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*p**3 + 5*p**3 + 80*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-5 - (-7 + 3)). Let r(b) be the first derivative of 3*b + 0*b**3 + 0*b**4 + l*b**2 + 1 - 1\/5*b**5. Differentiate r(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/((-6)\/(-3))*-2. Let c = n + 5. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 132*h - 84*h + 10725 = -7222 for h.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1568 + 933. Let o = -641.1 - u. What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2 + o - 5. Let n(d) = -69 + 29 - d**2 + 29 + 10. Give b(h) - 5*n(h).\nAnswer: -4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 30, 61, 104?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 14 = 10. Suppose 4*f + q*c - 3952 = 0, -f + 997 = -2*c - 0*c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26834141 (base 9) to base 4\nAnswer: 302202302131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {g: 2, n: 9, h: 3, c: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -343734+15\nAnswer: -343719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.95 + 97.25. Let r = 100 - m. Put r, 0, 1.3, -5 in descending order.\nAnswer: 1.3, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 107 + 2*h + 154 - 10*h.\nAnswer: -2*h + 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.73 * -65.\nAnswer: 47.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/3 - 4*m**2 + 3*m + 7. Let o be x(8). Find the second derivative of o*u**4 - 2*u + 7*u**4 - 4*u**4 wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqqjqijxq. Give prob of sequence jjx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 543235688*q\/3 - 73776253179208336\/3.\nAnswer: -(q - 271617844)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3199867043?\nAnswer: 3199867043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181\/10 - -2633\/130. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8241? (a) -5 (b) -0.5 (c) -2\/7 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219030?\nAnswer: 2, 5, 139, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)*-1 + sqrt(70) - sqrt(70))\/sqrt(10)*4 + 2.\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 205*s**3 + 262*s**3 - 124*s**3 + 0.\nAnswer: -67*s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccttnnnnncncc. Give prob of picking 2 c, 1 t, and 1 n.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -96 (b) -3\/7 (c) 13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 - 239*q**2 - 4052*q - 7140 = 0.\nAnswer: -14, -2, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 20 - 60 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 39. Let z be d(15). Let u(w) = w - 3. Let a be u(6). Suppose -y - z + 12 = -5*m, 3*y - a = 0. Let s(o) = -o**3 + 4*o**2 + 5*o. Give s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5727 greater than or equal to -342.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73797247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let r be ((-9)\/(-486)*9)\/2. Let g(l) be the third derivative of 0 - r*l**5 - 5*l**2 + 0*l**4 + 0*l + 0*l**3. Give j(g(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 38 - (-5)\/((-10)\/12). Solve -19*x = -h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 62. Let o = 81 - k. Let t = 45.4 - o. Which is the nearest to 1? (a) t (b) 0.05 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 1, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3438970 and -43\/687794.\nAnswer: 3438970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343352\/7 + 48958. Let x = 92 + g. Let y be -1 + 14\/4*-2. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32073323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 80063599778397 + 80063599778397.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12*s)\/s**(2\/5))\/((s*s**0)\/s)**(-3\/5) assuming s is positive.\nAnswer: s**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(2*sqrt(10)*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5680, 5808, 6152, 6820, 7920, 9560?\nAnswer: 11848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a. Let l(y) = 25*y. Determine 6*l(j) + 17*x(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41020894, -41020877, -41020846, -41020795, -41020718, -41020609, -41020462?\n\"Answer: p**3 + p**2 + 7*p - 41020903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27909403, -27909416, -27909429, -27909442, -27909455, -27909468?\nAnswer: -27909481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:52 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -242, 4\/5, -2\/9, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - -0.7. Let y = 2.62 - 0.57. Let m = y + p. Which is the third biggest value? (a) -1\/5 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(4\/40*2). Suppose 9 = l + 2*x, 0 = -l - 4*l - c*x + 30. Calculate the remainder when 9 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = p + a, 5*p + 2*a + 331 - 42 = 0. Let j = 59 + p. What is the first derivative of -4*d**2 - 9*d**2 + 3 - 5 + 2*d**j wrt d?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/10823973?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 9817*z - 9812*z - 2, 2*z - 4 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -132001*r**2 - 6*r - 5. Suppose 0*o - 5*h = 3*o - 54, -o = -5*h + 2. Let u = 8 - o. Let l be i(u). What is l rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9807*l*o**2*w**2 - 18*l*w**3 + 8*l*w**2 - 197*l - 5291*o**2*w**3 - 30*o*w**3 wrt w.\nAnswer: -108*l - 31746*o**2 - 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = -5*h + 370, -5*l = -3*h - 362. Let i = 44 - 7. Calculate the remainder when l is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -247971086640.\nAnswer: -247971086643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16304, -16305, -16318, -16349, -16404?\nAnswer: -16489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1492484, 2984955, 4477400, 5969819, 7462212, 8954579, 10446920?\nAnswer: 11939235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 29. Suppose 69*a + 17*a + 801 = -1177. Let j = o - a. Let t(k) = -k**2 + 5*k + 6. Give t(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 - x**3 + 0*x**2 - 11*x**2 - 4*x - 8*x**2 in the form z + y*x**3 + p*x + r*x**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:23 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-6*sqrt(75))**2 + 6*sqrt(75) + -3)*5.\nAnswer: 150*sqrt(3) + 13485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1349976 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 209.7. Let q = 83.7 + y. Which is the closest to 0.5? (a) q (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((19 - 17) + 3 + (0 - 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 62. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + 99\/6. Let l = c - -15. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 12*z - 13. Let t be w(-9). Let s(o) = -o - 6. Let d be s(-9). Suppose d*k = -38 + t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3156, 6232, 9250, 12210?\n\"Answer: -29*c**2 + 3163*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(84)\/sqrt(7)) - (-3 + sqrt(76)\/sqrt(4) + sqrt(19)))**2 - ((-1*sqrt(342))\/sqrt(6))\/(sqrt(3) + (sqrt(147) - sqrt(147)*-1)).\nAnswer: -89*sqrt(19)\/15 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/20*(-19)\/((-95)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -120, -267, -472, -735?\n\"Answer: -29*q**2 - 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16702504 is divided by 4741?\nAnswer: 4702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + (-5 + 2537)\/6 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.80000109 + -1.8. Round d to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687 - 4843\/7. Let p = 1\/644 + -4349\/1288. Let b = -61\/24 - p. Find the common denominator of b and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.7 times 0.4?\nAnswer: -33.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-2))\/((-1)\/(-2)). Find the first derivative of t*f**4 - 3 - 2*f**4 + 3*f**4 + 10 wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9a36 (base 16) to base 3\nAnswer: 2000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142412330 + 1?\nAnswer: 142412331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405251 (base 6) in base 4?\nAnswer: 13320133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*o + 3 = -4, -3*o = 3. Let c(q) = -2*q + 2*q + 9*q - k. Let t(d) be the second derivative of -5*d**3\/6 + d**2 + d. Calculate -4*c(m) - 7*t(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*b + 76*b - 609*b)*(-6 + 6 + b**3) to y + a*b + r*b**2 + d*b**4 + i*b**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 186 = -836. Let k be ((-1)\/(-6))\/(n\/20). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 344 + -225. Let t = h + -120.1. Which is the smallest value? (a) -4 (b) t (c) -3\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2 + 0*f**2 + 7*f**2 + 22*f + 14700 - 9*f**2 + 398*f = 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.74 and -2199.\nAnswer: -2195.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 110*a**3 - 18 + 34 - 118*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 - 113. Sort 2, 4, d in ascending order.\nAnswer: 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + (-25 - -89) - -72?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.29999876 - -10.3. Round o to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 115 + 29)*(-q + 3*q - q) to d + u*q and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 55. Calculate the remainder when 21 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42736693?\nAnswer: 31, 1378603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*h**2 - 361*h**2 - 3588727 + 3588727.\nAnswer: -533*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30169*m**2 + 355 + 24796*m**2 - 989*m**2 - 355.\nAnswer: 53976*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -510, -1214, -2216, -3516, -5114, -7010?\n\"Answer: -149*o**2 + 41*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-2) - 0 - 0. Let t be a - (-1)\/(2\/4). Let v(l) = l**2 + 3*l - 6. What is the units digit of v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49708 divided by 731?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/((1\/(-20))\/(18\/(-45)))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 1\/12*u**4 + 0*u**2 + 4\/3*u**3 + 2*u + 0. Let f be z(-9). Calculate the greatest common factor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let y be (355\/(-213))\/(2\/(-6)). Suppose -2*r + m = -y. Solve -n - k = -4*n + 13, r*k = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3\/5 + 28*o**2 - 160*o - 1600 = 0.\nAnswer: -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 - 7*k - 4. Suppose -3*j - 3*n + 15 = 0, -3*j + 0*j = -5*n + 1. Suppose -j*x - 7 = 8. What are the prime factors of s(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106885 - 332250 = -35*f. Calculate the greatest common factor of 235 and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1350\/(-1750) + 8\/14\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*f = 107*f + 118*f + 2000 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -586*v**7\/21 - 51*v**4 + 97*v + 4. Find the third derivative of g(q) wrt q.\nAnswer: -70320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1586 and 5668.\nAnswer: 345748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-481836621)\/(-3619) + (-2)\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2345)\/392 + 6)\/((-3)\/4). Put 1, 2, a in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 552*y**2. Let t be p(1). Suppose 4*z = 3*z - 5*u + 120, 5*z + u = t. Suppose 3*f - 8*f = -z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1478 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 8. Let z = -47 - -49. Suppose 2*j = 3*m + 9, 7 = z*m + 2*j + j. Put f, m, -5 in decreasing order.\nAnswer: m, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6\/7 (c) 4 (d) -26 (e) 3.1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/8 + (-14)\/56. Let b = v - 10. Let w(f) = 7*f + 1. Does 2 divide w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2474*h - 33 = 2469*h, 0 = 2*w + 3*h - 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t - 723. Give j(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g**2 - 3*g + 1. Let a be x(-5). Suppose s = -3*s + a. Suppose 5*c - 212 = -4*k, c - 3*k = 4*c - s. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -0.4. Suppose 121*y + 1 = 120*y. Let h = 0.2 - 0.6. What is the nearest to y in x, -3, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002545933 rounded to seven dps?\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 25. Determine f(-14).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607 divided by -31.\nAnswer: -607\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l. What are the prime factors of r(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t + 3*r = -181, 82 = 2*t + 2*r. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10114 + -10113.1. Which is the closest to f? (a) -27\/4 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34208 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 457 + -456.998568. Round z to 5 decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -31*q**5\/15 + 5*q**4\/24 - 833*q**3\/6 - 990*q**2. What is the first derivative of v(p) wrt p?\nAnswer: -248*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*f + 1964 + 2624 = -1862 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -7 - (1 + 1). Let i be k\/(-42)*12\/(-14). Which is the third smallest value? (a) -5 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 76.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261073930?\nAnswer: 2, 5, 13, 17, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4892 = 4*n + 2*u, -u - 3678 = -3*n + 2*u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 770*o + 37180. Give a(-48).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(3\/11) assuming x is positive.\nAnswer: x**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1498*j - 18. Let n be f(-13). Let u = n - -12196. Is u\/(-15) - 6\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24587 * -168.\nAnswer: -4130616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 603 = -11*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*h - 52*h + 3300. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*f**3 + 31*f**3 - f**4 - 10*f - 8*f**2 + 8*f**2 to the form w*f**2 + d*f**3 + b + m*f + x*f**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -20 - (-12 + -81 + (41 - 33))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1481 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486 + -7789\/16. Let i = 839\/1584 - 49\/99. Let z = i - -4481\/1584. What is the common denominator of r and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14119, -0.1, 58 in ascending order.\nAnswer: -14119, -1, -0.1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(410\/(-280)) - 364\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3*h**3 - 2*a**3*h*q - 7*a**3*q - 3*a**2*h**3*q - a**2*h**2 + 4*a*q - 2*h wrt a?\nAnswer: 30*h**3 - 12*h*q - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2747*g = 2743*g + 64, -5*g - 30 = 5*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Let n(s) = -354*s - 117. Give n(l(f)).\nAnswer: -708*f**2 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 932 divided by 466\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -2, 13, 62 in descending order.\nAnswer: 62, 13, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2778*m = -2776*m - 4, -5*m = -2*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 723 = -s, -4*b = -217*s + 222*s - 931. What is the remainder when 301 is divided by b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (-1*(0 + sqrt(3)))**2 + -4*(sqrt(3) + sqrt(3) + -1) + 2.\nAnswer: -8*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491827.\nAnswer: 7, 17, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:46 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 7830336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08626 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -89. Let j(v) = 3*v**2 + 23*v - 6. Let h be j(p). Solve -h*u - 3 = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 27*b + 26. What is h(9)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 48*t**5 - 3*t**4 + 45*t**2 + 3. Let o(f) = 49*f**5 - 4*f**4 + 46*f**2 + 4. Let z(a) = 3*o(a) - 4*s(a). Find the third derivative of z(w) wrt w.\nAnswer: -2700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1822349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - -9427469?\nAnswer: 9427444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 7*w**6\/5 - 278*w**5\/25 + 124*w**4\/5 - 232*w**3\/15 + 16*w**2\/5 - 699. Solve c(y) = 0 for y.\nAnswer: 0, 2\/7, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 20. Solve 7*d = 2*d + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - a + a + (-3 - 3 + 5)*(3*a - 3*a + 2*a) + a + 4 - 4 + 3*a - 2*a + a + a + 0*a + 4*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**7\/105 + 5*i**4\/12 - 28*i**3 - 2*i**2 + 88. Differentiate j(d) with respect to d.\nAnswer: -8*d**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 12*y + 134. Determine a(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 4*u - 3*u + 4*u**2 + 3557 - 2*u**3 - 2*u**2.\nAnswer: -u**3 + 2*u**2 + u + 3557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 11. Let z = 28 + -22. Let g(j) = -2*j - 5. Calculate z*r(b) + 13*g(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/3298812 and -83\/1099604.\nAnswer: 3298812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1197 + 798. Let w be ((-228)\/z)\/((-4)\/(-2)). Which is the nearest to 1? (a) -1\/2 (b) w (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62553 and 3008721.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1884 and 30?\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 67\/(-268)*(-3)\/(6\/(-8)). Let x(m) = 3*m - 1. Let v(c) be the second derivative of c**3\/6 + c**2\/2 - 13*c. Determine u*v(a) - x(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -2*r + 3*s, -2*s = 4. Let j(a) = -a + r*a + 15 - 5. Let q be (6\/(-4) + 2)\/(-1)*(-26 - -26). Determine j(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) - sqrt(56) - sqrt(14))\/sqrt(7) - sqrt(2178)) + sqrt(1350)\/(sqrt(33)\/sqrt(44)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 36 = 4*q + 3*j, 3*j + 45 = 4*q. What is the greatest common divisor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**(3\/7)\/c)**44*c**(-9)\/c**(1\/4)*c\/(c\/c**1*c)*(c*c**(-1)\/c)\/c assuming c is positive.\nAnswer: c**(-8411\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 4*b - 2 = 0, 3*t - 5*b = 2. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j. Suppose -5*v = -j*v. Suppose v = -0*o - 3*o + 57. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(32793 - -5) + 16.\nAnswer: 2, 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 391\/5 + -2752\/35. Which is the closest to -0.13? (a) -0.2 (b) 3\/5 (c) j (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -4.4. Which is the nearest to 0.2? (a) -1\/2 (b) p (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 81. Let q be 19542\/h*(26 + -20). What are the prime factors of q\/189 - (-2)\/(-21)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -341 (b) -0.05 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 u, and 1 p when four letters picked without replacement from {k: 1, u: 3, i: 1, p: 6, t: 1, y: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330 + -10?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12492530189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from rrkknkrwkkrwwkw?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -222693*o - 10466585. Determine j(-47).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 + (-2)\/(-3). Let b = 2 - 1. Let c(z) = 7*z. Let i be c(b). Calculate the highest common factor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Suppose -2*i - 5*q - 9 = 6, -4*i - 5*q - 25 = g. Let p(z) = z**2 + 6*z + 1. Give p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 15*i**2 - 13*i - 14. Let s be q(14). Suppose -3*z + 2*z = -2. Find the second derivative of -z*c + c - c**2 + s*c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 5*k - 28. Let w = -11 - k. Does 3 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 0*a**2 - 16*a**3 + 2*a**2.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 5, t: 2, a: 6, e: 1}. What is prob of sequence atxt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -43*p - 213. Let u be o(-5). Suppose -x = -u*b - 4, 0 = 2*x - 4*b + b - 8. Solve c - x*c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 26098215?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwbwe. What is prob of sequence wbww?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1142*d**2\/3 - 3802*d\/3 + 376 = 0.\nAnswer: 188\/571, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 30*i**2 + 1\/120*i**6 - 17\/6*i**3 + 0*i + 13\/30*i**5 + 0 + 5\/6*i**4. What is the tens digit of h(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409574*k**4 - 2*k + 812238 wrt k?\nAnswer: -1638296*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780864?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*a + 3*z - 50, -4*z + 80 = 5*a. Suppose -6*f = -a + 2. Solve -o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - v. Let j(t) = t**3 + 37*t**2 + 101*t - 29. Let z be j(-34). Let i(y) = -6*y**2 + y. Determine z*i(x) + 8*c(x).\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/678 and -9\/3164.\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/6*6\/(-5). Let d be (-2 - -1) + 4 - -15. Suppose d = x*f - f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-33) - (-98)\/11. Suppose 435 = 10*c - q*c. List the prime factors of c.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 2, h: 1, y: 2}. What is prob of sequence yy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601725511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-480)\/736)\/(-15))\/(((-6)\/6)\/(-7)).\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 - 4*c**2)*(-4*c - 3 + 3) - 9*c**3 - 248 + 248 + (-c**2 - c**2 + 0*c**2)*(-2*c + 3*c + 0*c) + 0*c**3 + 0*c**3 - c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-2)\/(-6)*0. Let u = 3 + i. Let q be -6*(3\/6 - u). Solve q*a = -2 - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -2368, -4758, -8094, -12370, -17580, -23718, -30778?\nAnswer: -38754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171066 (base 12) to base 3.\nAnswer: -202002220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2736) + sqrt(2736))**2 + (sqrt(38)\/sqrt(2) + 2)**2 + ((sqrt(304) + 2)*6)**2)*-1.\nAnswer: -22055 - 580*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -90. What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 1085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4265 - -0.0365. Let j = -3.2 - y. Round j to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13041 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*(-15 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j. Let x be c(-2). Let b(h) be the third derivative of -h**6\/120 + h**5\/6 + h**4\/8 + 5*h**3\/6 + h**2. Is b(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/78 + 6*w**3\/13 - 17*w**2\/13 + 4*w - 2. Factor f(r).\nAnswer: -2*(r - 17)*(r - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwuw when four letters picked without replacement from {w: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 0 - (-6 + -1). Let q = -534 - -555. Suppose -5*n + 2*n + q = 3*h, 0 = -2*h + d*n - 14. Solve 3*v = h*t - 21, -4*v - 9 = -2*v - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (161\/(-35) + -1 + -16)\/(7 - 365\/50)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3386112212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + 135\/25. Suppose 3*t - y*t + 47 = -4*j, -j + 24 = 2*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 4*i = 536. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 344*p - 5985. What is c(16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5808, -5733, -5608, -5433, -5208, -4933, -4608?\n\"Answer: 25*w**2 - 5833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 24*r**2 + 112*r + 15. Let b be k(28). Solve 3*p - m = -4*m - b, 0 = 4*p - 2*m - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a63 + -a?\nAnswer: a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97014541 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 28, 0 in increasing order.\nAnswer: -5, 0, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -3) + -12 + -3 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102767819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000296 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2106 divided by 3.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 30383055?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1\/5*t**2 + 0 - 1\/5*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:41 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-4)\/(-36) - -1*1. Is i less than -1\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 42.1. Let s = z - -0.1. Let p = 4.6 + -5. Which is the third biggest value? (a) s (b) 2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:54 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8169*c + 7574*c - 7910*c - 4*c + 3*c + 0*c + (-3 + 3 - c)*(-2 - 1 + 4) - 2*c - 3*c + 4*c in the form l + g*c and give g.\nAnswer: -8508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**3 + 3*a**2 + 8*a + 4. Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubullrrllubbublrruu. Give prob of picking 1 l, 1 b, and 2 u.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66196 is divided by 33089.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -111110?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (6 - 1 - 3)\/((-495)\/2464)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19 + 7)*(-1)\/(-3). Let x be (-30)\/27 + c\/(-6). Let d = 7\/36 + x. Is 1.7 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00154611 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 100*f - 100*f - 35*f**3.\nAnswer: -35*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*l = 5, 3*d = 4*d + 5*l - 4. What is the common denominator of (-1 - (-169)\/45) + d\/5 and 57\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -48, -41, -82\/13?\nAnswer: -82\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235 - 446 + 2269*u - 438 with respect to u.\nAnswer: 2269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.125 and 1.67?\nAnswer: 1.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (18 + 0 - -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859731897 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264201 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/33 and -25\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29*q**2 - 12*q + 12. Let g be t(3). Let l be 4\/10 - (-19)\/(g\/(-2934)). Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.153 - -1193.847. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 5*c - 4*c)*(-c + c + c + (4 - 1 - 4)*(-6*c + 3*c + 5*c) - 3 + 4*c + 3).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139681121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1392653 and 1392653 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f - q - 9 = 0, -3*q = 5*f + 7. Let n be (2\/4)\/(f\/(-32)). Let v be n\/((-4)\/(-2)) - 2. Solve v*j - 2 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -7121, 4, -19, -3 in decreasing order.\nAnswer: 4, -3, -19, -46, -7121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5488 and 14.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*x - 189 wrt x?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13014443302 (base 5) to base 16\nAnswer: f0ccd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/54*9585\/426.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, 0, 12 in ascending order.\nAnswer: -2, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/(-4) + (-110)\/20. Put -35, x, -1 in descending order.\nAnswer: -1, x, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -6. Suppose o*n + 3 = x, -3*x = 4*n - 2*n - 1. Which is greater: 1\/21 or n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 g when four letters picked without replacement from {g: 1, k: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*f*o**2 - 25*a*f*o + 2*a*f - 292555209*a*o**2 - 4*a - 117*o + 81 wrt o?\nAnswer: -2*a*f - 585110418*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from mfvjvvzvvf?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**3 - 20*s**2 + 361*s - 316. Let w(l) = -24*l**3 - 54*l**2 + 963*l - 843. Let d(v) = 21*h(v) - 8*w(v). Solve d(k) = 0 for k.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1967*z - 664*z + 7700*z**2 - 23479*z**2 + 8460*z**2 wrt z.\nAnswer: -14638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -791 - -798. Solve 15*o - t*o = 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -313344, -626682, -940016, -1253346, -1566672, -1879994?\n\"Answer: 2*z**2 - 313344*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15428)\/6120 + 2\/18. Let m = i - 25\/51. Let a = -5135\/354 - -20\/59. Find the common denominator of a and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 24?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/9)*w**1)\/(w**25\/w**(1\/14)) assuming w is positive.\nAnswer: w**(-2945\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410781014 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -917696.8079 plus 0.051?\nAnswer: -917696.7569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + 217. Calculate the remainder when 124 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*v - 23*v**2 - 225*v - 156*v.\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3379, -158, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 5*g + 5, 0 = 4*t - 2*t + g + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 29. Suppose 2*p - y = p. What is the remainder when 34 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18960 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619492 to the power of 1\/2, to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8288 * 165.\nAnswer: 136.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 - 24666*k + 116 + 48 + 24571*k.\nAnswer: -95*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9961552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -379c78 (base 16) to base 3\nAnswer: -20212011100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - (-264)\/18. Let g be m\/28*0\/(-1). Suppose g + 4 = 4*b + 3*r, 2*b + 5*r = 2. Solve 3*v - b = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.4 + -32. Let p = -2.19 - k. Let s = p + -0.51. Which is the nearest to s? (a) -5 (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 2, -2\/67, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 10*h**2 + 10*h - 11. Let u = -13 - -2. Let z be l(u). Suppose f + 3*r + 3 + 1 = 0, -4*f - 4*r = z. Solve 12 = -2*k - f*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)\/(t\/(t\/t**(1\/8))))**(-25\/3)\/(t**(1\/4)*t**(-1\/4)*(t*t**2*t*t)\/t) assuming t is positive.\nAnswer: t**(-97\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/3, -2\/15, -1, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from {d: 4, s: 3, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1789? (a) -1 (b) 0.4 (c) -0.1 (d) -0.68 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17117216 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*(s\/(s*s**(-7)))\/s)\/s))**(-32) assuming s is positive.\nAnswer: s**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from mggmqmjqyjmjbmj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 + 5*s. Let w(i) = 5*i**3 + 21*i**2 + 26*i. Let f(j) = j**2 - 12*j + 11. Let z be f(12). Let x(r) = z*p(r) - 2*w(r). Give x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*4)\/sqrt(11).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 81 + 110*q**2 + 61*q**2 - 21*q**2.\nAnswer: 150*q**2 + q - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4570, 18291, 41156, 73159, 114294, 164555?\nAnswer: 223936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 - z**3 + 7 - 4*z**2 - 19*z + 4 + 5*z**2. Suppose -5*d + d - 24 = -4*x, -x + 18 = 3*d. Let u be n(x). Solve u*a = a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/8 + g**4\/2 + 67*g**3\/8 - 35*g**2\/4 = 0 for g.\nAnswer: -7, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-2)\/(-9)*540\/(-840)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9158 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**3 - 4*f**2 - 5*f + 5. Let h(l) = 9*l**3 + 5*l**2 + 6*l - 6. Suppose -3*d = -4*s + 26, d - 688*s + 686*s + 10 = 0. What is d*c(b) - 5*h(b)?\nAnswer: 3*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733800 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168163 = -11946*k - 1038383 for k.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.5. Let k = 0.035 + 0.965. Let y be (-5)\/60*(-16)\/6. Put c, k, y in descending order.\nAnswer: k, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 112 = 4 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7086 is divided by 1975.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10369 - 4664. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112988\/5787 + -20\/643. Which is the second smallest value? (a) m (b) 0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20*10*-1)\/(1\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.666 + 58. Round c to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -336.0017 + 336. Round b to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437848\/45 - -9730. Let z(r) be the first derivative of 1\/9*r**4 - 1\/27*r**6 + 17 + 0*r + u*r**5 + 0*r**2 + 0*r**3. Let z(j) = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -38, 63, 204, 385?\n\"Answer: 20*m**2 + m - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39666 is divided by 13173?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 11*d - 9. Let u(b) = b + 17. Let r be u(-5). Let l be v(r). Solve 0 = -5*t + 2*k - 24, -2*k + 2 = -t - l*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*q + 2776*q + 2110*q.\nAnswer: 6303*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -8\/5, -12, 2 in increasing order.\nAnswer: -12, -8\/5, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {z: 2, e: 6, l: 2, y: 10}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028.693 decades in centuries?\nAnswer: 102.8693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76714 is divided by 322.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 287 + 127. Solve f*w = 50*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 8. Suppose 0 = -5*c + 4*m - 20, c + 2*m = 7 + 3. Let w(f) = 2*f**2 - 28*f + 5. Let x be w(14). Solve c = -3*z - 3*g + 6*g, -x*z - 3*g = o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 66*f**2 - 373*f - 46. Give p(6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1731, 1758, 1815, 1908, 2043, 2226?\n\"Answer: l**3 + 9*l**2 - 7*l + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4556 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 199738156*v + 199738153*v + 42.\nAnswer: -3*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w**3 - 158*w**2 + 180*w = 0 for w.\nAnswer: -90\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmaq when four letters picked without replacement from {c: 3, m: 1, b: 2, d: 2, q: 1, a: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let u(o) = o**3 - 62*o**2 + 232*o - 3. Let z be u(58). Which is the nearest to -3\/2? (a) h (b) -0.09 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y**2 + 160*y + 628. Calculate s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224031031 (base 6) to base 16.\nAnswer: 3eb61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1389 in decreasing order.\nAnswer: 3, -2, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3985 - -2c?\nAnswer: 39b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 16*s - 22. Give z(16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, 7, 54, 121, 214, 339?\n\"Answer: o**3 + o**2 + 23*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -113484.\nAnswer: -211\/113484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46412376*y + 465927739 wrt y.\nAnswer: -46412376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i**2 + 4027*i - 35. Let a(o) = 54*o**2 - 14095*o + 119. Let n(d) = 5*a(d) + 17*q(d). Factor n(b).\nAnswer: -2*b*(b + 1008)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**7\/21 + 37*m**6\/30 - 9*m**5\/20 - 83*m**4\/6 + 34*m**3\/3 + 36*m**2 - 143*m - 13. Determine s so that k(s) = 0.\nAnswer: -2, -1\/2, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 5 + -2)*(11 - 12). What is the smallest value in 0.2, o, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 4, 9, 3, 155, -56 in descending order.\nAnswer: 155, 9, 5, 4, 3, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 15. Let l(j) = j**2 + 9. Let k(m) = 3*f(m) - 5*l(m). Let d(t) = 10*t. Let b(x) = x. Let a(v) = 3*b(v) - d(v). Give a(k(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9970 - 5643. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61542933701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*w**6 - 4*w**3 + 296*w**2 - 2*w wrt w.\nAnswer: -1800*w**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39305 is divided by 3569.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -5, -68, 2, 6 in decreasing order.\nAnswer: 7, 6, 2, 0, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8894 - 699 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 5*m - 17. Give h(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + sqrt(343)*1*3)**2)*4.\nAnswer: 336*sqrt(7) + 12344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -28*y + 6. Let n be v(7). Let g = n + 1712\/9. Put 1\/4, g, -3 in descending order.\nAnswer: 1\/4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 0.22. Let o = 0.5 - 0.56. Let j = w - o. Which is the nearest to 0.1? (a) j (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/190 + 3580\/76 + -47.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(4 + -5) - 4. Let v be 10\/54*-3 - u. Factor 0*s + v*s**2 - 2\/9*s**4 + 2\/9*s**3 + 0.\nAnswer: -2*s**2*(s - 2)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 15*r**2 + 56*r + 10. Let k be w(18). Suppose 0 = -5*i + 301 - k. What is the greatest common divisor of i and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.21045656 to two decimal places.\nAnswer: 30.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12369\/(-1085) + 5767\/505\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w + 68*w = 51*w. Are -1\/1926 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.16156809.\nAnswer: -1.13097663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 633*o**2 + 38627*o + 55. Determine x(-61).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16360 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j + 6. Let q = -4 + -1. Let k be y(q). Let f be (k\/2)\/(1\/2). Which is the closest to f? (a) -1\/2 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 greater than 6\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**6 + 15937*c**3 + 101466*c**2 wrt c.\nAnswer: -600*c**3 + 95622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14\/3)\/a**(-4\/31)*(a**(-31))**38)**(-47) assuming a is positive.\nAnswer: a**(5168872\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10654\/(-280) - (305 - 343).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341280, -341343, -341406, -341469?\nAnswer: -341532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185 or -86058?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -0.1, 1\/4, -62382?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1008)*-6)**2.\nAnswer: 217728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1068)\/400 + (-1 - -4). Let a = h + -2\/25. Which is smaller: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 183113, 183096, 183071, 183032, 182973, 182888?\n\"Answer: -w**3 + 2*w**2 - 16*w + 183128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 527*r**2 - 14*r + 2. Let u(h) = 264*h**2 - 6*h + 1. Let y(s) = -6*m(s) + 14*u(s). Let p(i) = -i**2. What is p(y(n))?\nAnswer: -285156*n**4 - 2136*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -51. Are t and -15 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dppdpdpdppbpdpb. Give prob of picking 2 p and 2 d.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from uuuccuuuuuuu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 243 - 591. Calculate the remainder when i is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*y - 25, -3*y = 4*j + y - 20. Suppose j = 3*s + 3*i + 2*i + 13, 0 = s - 2*i - 14. Suppose 3*w - s = 5. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**8\/168 + 11*v**7\/315 + v**6\/12 + v**5\/10 + v**4\/18 + 6*v**2. Factor h(o).\nAnswer: 2*o*(o + 1)**3*(3*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 432\/112 - (-15)\/105. Solve -13*s + 44*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 8*u**2 - 10*u - 5. Let b = 6 - 13. Let l(g) = g**3 + 7*g**2 + 2*g + 5. Let y be l(b). List the prime factors of m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let s(w) = 104203*w. Calculate c(s(y)).\nAnswer: -104203*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**5 + 3*v**4 + 3*v**3 + v**2. Let b = 8 + -13. Let p(c) = -c**5 - 3*c**4 - 3*c**3 - c**2. Let k(m) = b*p(m) - 4*g(m). Factor k(x).\nAnswer: x**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(4\/3))*x)\/(x*x**(-9)))**36\/((x**(3\/2)\/x)\/((x**(2\/15)*x)\/x)*x\/x**8*x**(7\/4)) assuming x is positive.\nAnswer: x**(22613\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 209, 767, 1861, 3671, 6377, 10159?\nAnswer: 15197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a - 8. What is the least common multiple of 10 and w(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 112 = -80*w + 78*w, 3*w = 5*t - 171. Sort -3, 2, w in increasing order.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 9*w + 5. Suppose 2*l = -5 - 5. Let y be h(l). Solve i + 3 = t, y = -4*i - 0*i - t - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 18. Let c = 53 - 37. Solve u + 3*a = c, -w = -4*u - a + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 40\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 3*b + 2. Suppose 4*z = -z - 25. Let l be (0 - -4)*2\/4. Let w(x) = 1 + 5*x - x**l - 2 - 4*x + 0*x**2. Calculate z*w(f) - 2*j(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqcqqqlcccdqq. What is prob of sequence qc?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 8) in base 4?\nAnswer: -12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s + 7*s**2 - 53*s + 27*s)*(-s**2 - 2*s**2 + s**2).\nAnswer: -14*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 876257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 5*j**2 + 6*j - 4. Calculate the remainder when l(5) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -68*u. Let b(d) = -35*d**2 + 9*d**2 + 13*d**2 + 15*d**2. What is b(n(m))?\nAnswer: 9248*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73598585*f**3 + 39454670*f**2.\nAnswer: -441591510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 7. Let b be a(5). Suppose w = 3*p - p + b, 5*w - 4*p - 190 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5\/5 + 109*q**4\/5 - 1008*q**3\/5 + 324*q**2\/5.\nAnswer: -q**2*(q - 18)**2*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 230433 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 2 - t - 12*t as o + h*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2468412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -1551, -2276, -2991, -3696?\nAnswer: -4391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36911 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2076661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqqjxqxxjxffqjq. Give prob of picking 1 f and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*s**2 - 3*s**6 - 2*s**2 + 0*s**2 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56846 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*g - 306 - 228 = 0, 0 = -4*i - 2*g + 1062. Suppose -5*s + i = -3*m, -2*m - m = 3*s - 168. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times -4756044\nAnswer: -11414505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 79*x + 3170. Let v be r(-40). What is the closest to -2 in -1\/4, -0.2, v, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:14 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4 + x + 0*x + 11. Let i be z(-11). Let d be (-12)\/27*6\/i. Do 2 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, -3, 3, 1243 in increasing order.\nAnswer: -3, 3, 374, 1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4248*b**6 - 2*b**4 + 3*b**3 + 1231*b**2 - 2*b + 1 wrt b?\nAnswer: 509760*b**3 - 48*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftyatfsyafks. Give prob of sequence yfs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 86622*-359\nAnswer: -31097298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/7, 4\/5, 45?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 9) to base 16\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*18\/81?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 895.8 + -978. What is d rounded to the nearest integer?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485 by -276703.\nAnswer: -485\/276703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let n(o) = -333518*o**2. Calculate n(z(c)).\nAnswer: -1334072*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose -a = 5*y - y + 4, -4 = -a + k*y. Let b = 0.06 + -4.06. What is the nearest to -1 in 2\/5, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/5 + 14654*m**2\/5 + 54121849*m\/5 + 638954508 = 0.\nAnswer: -7297, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*c**5 + 20*c**2 + 4*c**3 + 30*c + 16 - 12*c**4 + 18*c - 2*c**2 + 72*c**5 + 26*c**2.\nAnswer: -4*(c - 2)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(0 - (-6)\/(-5)). Let g = 3 + r. Calculate the remainder when ((-40)\/g - 2)*3 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 4)*(0 + 1 - 2) + 1 + 1 + 4)*(-f - 3*f + 0*f)*(3 + 0 + 0).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43240 and 920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 5 + 17)*(57*b + 5*b - 208*b) as p + t*b and give t.\nAnswer: -1898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198 - -304) + -97 + -38.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**2 + 32095*z - 53450.\nAnswer: -5*(z - 2138)*(3*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968) - sqrt(968)*-1)*4)\/(sqrt(256) + sqrt(256)*2 + sqrt(256) - sqrt(100)*1) + -2.\nAnswer: -2 + 88*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.48? (a) 5 (b) -1\/6 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.929 + -169. Let j = 91.929 - s. Let o = j + -92.2. Which is the second biggest value? (a) 2 (b) -0.51 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16 and -5\/206.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/420 - y**6\/72 + 3*y**5\/20 - 10*y**2. Let w(a) be the third derivative of b(a). What is the derivative of w(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/52)\/(1\/(-44)). Solve -b*g = -9*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (0 + -37) - 24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n + 4*l - 3, -16 = -4*l. Let w be (0 + 0 - (n + -3))\/1. Solve 5*p = 5, w*m + 10 = 3*m + 4*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*v - 401*v + 406*v**2 - v**2 + v**2 + 2*v**2 + (-2*v + 2*v + 2*v**2)*(-3 + 3 + 1) - 2*v - 1 - v**2 + 2*v in the form c*v + k + i*v**2 and give i.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*y**3 + 2397*y**2 + 5448*y + 1092.\nAnswer: -3*(y - 91)*(y + 2)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(11))*-1 - sqrt(11)) + sqrt(11) + -4)*-1.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + -1.5. Let a = -2.5 - 0.5. Let r = a - -5. Sort t, 0.2, r in decreasing order.\nAnswer: r, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5))**(3\/22) assuming s is positive.\nAnswer: s**(-3\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6464385 is divided by 3232165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*q = -280*q + 120 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 29 - (12 - -39)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {m: 4, h: 4, x: 2, s: 3, d: 3, n: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0 - 11\/2*n**2 - 6*n + 1\/6*n**3. Let v be (21 - 564\/36) + (-4)\/(-6). What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - 3*n**2 + 45*n. Suppose -3*a = -9, -g + 4*g - 3*a - 3 = 0. What is d(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 17*q**2 - 53*q + 222. What is the tens digit of m(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 233*j**2 - 186*j - 2320. Is 13 a factor of h(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**2*g + f**2*s - 4*f**2 - 6*f*g*s + 45368*f*s - 652*f + 51*g - 2*s**2 + 2 wrt s.\nAnswer: f**2 - 6*f*g + 45368*f - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 1.07. Let s = -476 + 479. Which is the nearest to k? (a) s (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 101788*p**3 + 5*p + 6*p + 13 - 4 - 6*p**2 - 101789*p**3. Suppose 9*u = -33 - 30. Give q(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-23)*y)\/y**(3\/14))\/((y*y\/((y\/(y*y**(19\/5))*y)\/y))\/y**24) assuming y is positive.\nAnswer: y**(-211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000216 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 625?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let c = j - -1. Let i = 138.1 + -134.1. What is the second smallest value in 0.2, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1111001101110?\nAnswer: -1111001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8*u - 20 = 2*g, 6*u - 5*g - 22 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/31, 1.9, 4, 1\/4?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4711855747 to the nearest integer?\nAnswer: 68643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 27 = -4*u, u + 37*v - 38*v + 9 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3288, 29 in increasing order.\nAnswer: -2, 29, 3288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Let p be 2\/((-5)\/40*-4). Solve -p*f + 7 = -h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (2 + 276\/60). Factor -1\/5*k**2 + a - 1\/5*k.\nAnswer: -(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**0*n)\/n*n*(n\/n**3)\/n)\/(n\/n**2*n**(-2\/3)\/n) assuming n is positive.\nAnswer: n**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:59 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 35*n - 25*n. Determine f so that -8\/11*f**n - 10\/11*f - 2\/11*f**3 - 4\/11 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242912?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + 7*l**2\/2 - 2*l - 1. Let m = -16 - -21. Calculate v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f. Let l(p) be the first derivative of -p**5\/60 - 3*p**2 + 1. Let o(g) be the second derivative of l(g). What is o(a(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6304386 - 44?\nAnswer: -630441a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 0.3 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 - 2*b - 15. Give l(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -8, 0, -27 in descending order.\nAnswer: 0, -0.3, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-9)\/6 + 2\/4. Let n be 8*(-6 + 4 + t). Let o(x) = -1 + 6 - x + 6 - 5. Determine o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*y + 6 = -0, 3*y = -3*v + 6. Solve 1 = r + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - p + 9. Let j be h(-6). List the prime factors of 930\/8 - j\/28.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371853389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864948640?\nAnswer: 2, 5, 443, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c - 18. Let v(t) = 2*t**2 - 23232*t. What is a(v(y))?\nAnswer: 36*y**2 - 418176*y - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 50\/30)\/((-4)\/(-6)). Let x = 21\/2 - 5. What is the smallest value in x, 0.3, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Let k = 12 - l. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61302707 to the nearest integer?\nAnswer: 7830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*l = -p - 2, -5*p + 32 = -2*l. Suppose -3*f = -p*f + 447. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**3*l**3 + 21*g**3 + 3*g*l**2 - 16*g*l + 3*l**3 - 2 wrt l?\nAnswer: 102*g**3*l + 6*g + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 3*k**2 + k - 1. Let n be b(-3). Let o = 16 + n. Let u be (-1)\/((-3)\/(o\/(-1))). Put -0.1, u, -0.2 in increasing order.\nAnswer: -0.2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 931655297 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - a + 1. Suppose -99 = -2*p - 103. Does 4 divide h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 15*b. Suppose -5*i + 2*o + 17 = 6*o, -3*i + 3*o - 6 = b. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4518744 rounded to the nearest 10000?\nAnswer: -4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*u - 20213, -18*p + 16*p = 5*u - 50564. Calculate the greatest common factor of u and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020513007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 19*u**2\/2 - 4*u + 2. Let g be p(4). Suppose 2679 - 2211 = 363*y - 6066. What is the greatest common divisor of g and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9936*s**2 - 15712 wrt s.\nAnswer: 19872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -110, -1\/4, -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2*((-19)\/1 + 17). Let h(a) = 5. Let i(r) = -3. Let c(z) = 4*h(z) + 7*i(z). Let k(s) = s. Give p*c(w) - k(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769, 1582, 2445, 3352, 4297, 5274, 6277?\nAnswer: 7300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w + 3. Suppose -2*i + 5*o + 397 = 0, -1000 = -2*i - 3*i + w*o. Suppose -23 = 2*h - i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-2))\/3)\/((-85)\/(-30)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - j**3 - 4 + 5 + 8*j**2 - 4 in the form c + w*j + g*j**2 + z*j**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + -1)**2 - sqrt(1008)) + sqrt(1008))*1 + (sqrt(175) + 0 + sqrt(175) + 4)**2.\nAnswer: 56*sqrt(7) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-5)\/10*-4. Which is the second smallest value? (a) 4 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Let n = j - 5.3. Let x = -0.2 - n. What is the closest to 1 in x, -1, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.66776 rounded to two decimal places?\nAnswer: 33.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**4\/7 - 10158*q**3\/7 - 27868*q**2\/7 + 1086*q = 0. Calculate q.\nAnswer: -1267, -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-35)\/525*(-1)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + -11220013112?\nAnswer: -11220020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2209 + 2329 = -20*z. Let l(y) = 0*y - 7 - y + 4*y. Let a(x) = 1. What is z*a(j) - l(j)?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 126*q. Let c(o) = -27*o**2. Determine z(c(j)).\nAnswer: -729*j**4 - 3402*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9*(-2)\/20. Let m(w) be the third derivative of u*w**4 + 1\/150*w**5 + 0 + 3*w**2 + 1\/15*w**3 + 0*w. Let m(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.145927 rounded to 3 dps?\nAnswer: 1.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*-1*2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57021.14 years in months?\nAnswer: 684253.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -10. Let j(w) = -4556*w + 9127. What is the least common multiple of a and j(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1209 + -771. Let o be (-4)\/(-10) - p\/(-30). Let j = 21 - o. What is the highest common factor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/4 - r + 3\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16566 is divided by 296.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.79.\nAnswer: 5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - l + 2*l + (11 + 59 - 10)*(l - 3*l - 9*l) in the form y + b*l and give b.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 110.3, 11783?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/52175148 and 23\/24.\nAnswer: 104350296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 340 = -25*z. What is the least common multiple of 510 and z?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56181)\/(-15) - -1) + (-489)\/(-815)?\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 - -399. Let g = z + -13. Which is the nearest to g? (a) 0 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/3 + 2*c. Let a(g) be the second derivative of -g**4\/2 + 2*g + 409. Calculate a(t(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Suppose -b - b - z = 0. Let i(d) = -d**2 - 2*d + 5. Is i(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of (-5)\/(-60)*0 + 13932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*u**3 - 2*u**2 - 26406*u - 10847598 with respect to u.\nAnswer: 84*u**2 - 4*u - 26406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689154.\nAnswer: 2, 3, 114859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 13) to base 3.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 866\/24 + (-5)\/15. Let t = -36 + g. Let n be 1\/3 - 18*4\/108. What is the closest to n in 3\/5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1963 - -1962.98. Let l be 2\/(-8)*22\/33. What is the second biggest value in l, t, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030020 (base 9) in base 5?\nAnswer: 120114032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/18697178 and 33\/492031?\nAnswer: 18697178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1179 + 2*b**3 - 2033 + 0*b**2 + 0*b**2 + 854.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u + 933*u + 895*u.\nAnswer: 1778*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -4, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-63)*(-6)\/(-40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**3 + 0 - 1\/15*v**6 + 1\/6*v**4 + 1\/21*v**7 - 1\/10*v**5 + 0*v**2 - 6*v. Factor t(h).\nAnswer: 2*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-1422)\/4)*(-3 - -6). Put -3, c, 0 in descending order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**2 + 15*j + 16. Does 51 divide d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/439 and 9\/193160?\nAnswer: 193160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/630290 and -58\/2836305.\nAnswer: 5672610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110010101 - 1000000010110?\nAnswer: 100101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62\/3 + 2179\/105. Let p = -5722\/5 + 160193\/140. Let k = p - s. Which is the smallest value? (a) k (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -269.12 and -0.028.\nAnswer: -269.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/2*2)\/6)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d. Let p be n(1). Suppose -15*s + 4 - 29 = 5. Sort 18, s, -1, p in descending order.\nAnswer: 18, p, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 2*w**3 + 15 - 1809*w**2 + w**4 + 1771*w**2 as h*w + b*w**4 + g*w**2 + s*w**3 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.4 - 7.4. Which is the third smallest value? (a) 7\/4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84310 is divided by 167?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1 (b) -4 (c) 3428 (d) -31.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118 and -0.2.\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2) + 3\/(-6). Suppose 4*n - v*a - 36 = 0, 2*n - 5*n = -a - 29. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.65 and 655197.\nAnswer: 1736272.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a2 (base 15) to base 11.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2677 - 895 = 171*w + 17*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 17 + 13. Let t(u) = -4*u. Suppose -4*q + 3*q + 4 = -2*m, -4*q = -2*m + 2. Let s be t(m). What is the greatest common divisor of y and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 985794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 3, -4932, 129 in decreasing order.\nAnswer: 129, 3, -44, -4932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810589 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 7*f**6\/40 - 11*f**5\/20 - 3*f**2 - 2. Find the third derivative of h(k) wrt k.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15850.2 < -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = 2*x, x + 4*r = -3*x. Let t be 1984 + (x - (5 + -6)). Round t to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110001111 + -11111000?\nAnswer: -101110010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 820?\nAnswer: 4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -406, -827, -1248?\n\"Answer: -421*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w)\/w)**(-37\/3) assuming w is positive.\nAnswer: w**(185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 40440085?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2*s**3\/3 + 55. Let a(i) = -i**2 - 3. Calculate a(u(r)).\nAnswer: -4*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(3 + 2*sqrt(1900) - (0 + -2 + sqrt(1900)))*6)**2.\nAnswer: 31680*sqrt(19) + 623344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 9 + 11 - 3 - 20 - 9*i. Let g be -1 - 1*(3 + -1). Give d(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -2\/65, -6.9, 84?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t + 5*x + 161 = 39*t, 5*t = -5*x + 455. Calculate the remainder when 150 is divided by t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 702*z + 547*z + 467*z + 3*z**2 - 1950*z + 621*z = 0. What is z?\nAnswer: -129, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 2. Let a be t(-2). Let v be ((-176)\/(-64))\/((-3)\/36). What is the units digit of v\/(-9) - 3 - (-416)\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*y - 0*y - 2*r, 4*r + 12 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-63 - -2) + (-10 - ((-23 - -12) + -9))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -144995 * -0.07\nAnswer: 10149.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -2200, -4969, -8846, -13831, -19924?\nAnswer: -27125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3 - 4, 0 = 4*g - 3*k - 13. Suppose -2*b - f + 8 = -8, g*f = b + 10. Suppose t - b = -t. Solve 0 = t*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -1, -3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v + 541. Let s(h) = h + 141. Calculate g(u) - 3*s(u).\nAnswer: 16*u + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23962844 to the nearest integer?\nAnswer: 4895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279?\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59 + 11de?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 - f**3 - 415 + 732.\nAnswer: -f**3 + 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 7*d**2 - 2*d - 2. Let f be x(3). Is -2\/155 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-45)*-5)\/(126\/5103)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 2, r: 2, g: 2, d: 3, h: 2}. Give prob of picking 1 d and 2 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/3 - 56*a\/3 - 58\/3 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 2980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16460*o**2 + 72*o - 70. What are the prime factors of c(1)?\nAnswer: 2, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(76)*1 - sqrt(76)) - 2*3*(sqrt(76) + (sqrt(76)*2 - sqrt(76))))\/(sqrt(16)*-1 + -3*sqrt(12)\/sqrt(3) - sqrt(396)\/sqrt(11)*-4).\nAnswer: -18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.560039\nAnswer: 0.2240156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-25)\/(((n\/n**(-2\/17))\/n)\/n**10) assuming n is positive.\nAnswer: n**(-257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1904 divided by 1\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*x + 23 + 106 - 66 + 45*x as o*x + d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/183)\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*i, -54*t + 27*t + 28*t = -5*i + 9 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9 or -1.126?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3 - 31*y - 117*y**3 + 232*y**3 + 5*y**2 + 2 - 114*y**3. Is x(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10701 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - 70. Suppose -6*m = -2*m + p. List the prime factors of -4*m\/(20\/128).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-1 - (-2 + -1)). Suppose 4*n - 12 = 0, -5*b - a*n + 144 = -3*b. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - f, 5*b - 4*f + f = -6. Suppose 3*h + g = 26, 2*h - 15 = -3*g - b. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 118958*u\/3 + 198280.\nAnswer: -2*(u - 59484)*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 6*u - 6. Determine t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11728217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**3 + 11*z**2 - 12*z + 9. List the prime factors of h(-8).\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 30, -4*f + 7*f - 4*w - 1336245 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*c - 156, 417 = 5*c + 442. Solve 0 = -g*j + 288 + 111 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -1.9. Suppose -5*p + 4*g - 330 = 0, 4*p + p + 4*g = -330. Let d = p - -62. Which is the nearest to 0.1? (a) v (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((64\/(-100))\/2)\/((-12)\/30)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let p be k(-4). Let c(i) = -5*i**2 - 7. Let l(m) = m - 1. Let b(z) = -c(z) + 4*l(z). What is the units digit of b(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n. Let w be a(-7). Let p(b) = -b**3 - 7*b**2 - 7*b - 2. Let k be p(-6). What is the highest common divisor of w and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4209991, -8419982, -12629973, -16839964?\n\"Answer: -4209991*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 5*u + 2. Let r(z) = -z**2 - 4*z + 1. Let p be r(-3). Let s be l(p). Calculate the lowest common multiple of (s\/(-4) - -1)*-20 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -2\/7, 224 in descending order.\nAnswer: 224, 5, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 1. Suppose 0 = 2*i - 3 + 11. Put 3, i, j in ascending order.\nAnswer: j, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = -18*m + 480. Calculate the remainder when 1\/(-4) + 818\/8 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/(7\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4617, 9334, 14051?\n\"Answer: 4717*t - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 866650907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33246)\/(-9) - (3 + -6).\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.76959g to milligrams.\nAnswer: 1769.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16411878 is divided by 16411847.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12496 divided by 16.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24259 - 23401 = -39*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3885*q**2. Let b(g) = -2636*g**2. Calculate b(k(x)).\nAnswer: -39785741100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = 0. Let j be (o - 3\/(-1)) + -3. Solve j*g + 3*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*d - 18, 0*d - d - 3*w = 7. Suppose -d*z = -6, 3*f + 186 = 2*z - 0*z. Let b = 99 + f. What is the remainder when 231 is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-1 + -2)*-5 + 0 + sqrt(500)*2 + 2 + -3)**2.\nAnswer: 1260*sqrt(5) + 24581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19880544 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 - 9*x + 4. Let s(c) = 2*c**2 + 5*c - 2. Give -6*o(f) - 11*s(f).\nAnswer: 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*c - 33417, -3*c - 6494 - 43636 = -3*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501641983 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 177\/5 + (-2)\/5. Let c(t) = -4*t + 3*t - 5 + 4. Let m be c(-6). Calculate the highest common divisor of k and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 + -6 + (-270)\/(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 43053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588 - 581 + 1169 + 29*c**3.\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -2*o. Let l be 20\/(-6)*o\/(-16). Solve l*m + 20 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 1, h: 3, n: 1, m: 3, e: 1, w: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:23 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18792190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4265718 by 138.\nAnswer: 30911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1900) + 0 + sqrt(1900))*-1 + -1*sqrt(1900)*2 - (0 + (2*sqrt(1900) + sqrt(1900) + -4 - (sqrt(1900) + -1)*-6)))**2.\nAnswer: -10400*sqrt(19) + 1284800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/260 - (-64141)\/(-2431)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**6)\/k**(-2\/13))**28 assuming k is positive.\nAnswer: k**(2604\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**7\/840 - a**6\/360 + a**5\/40 + a**4\/24 - 13*a**3\/3 + 40*a. Let k(o) be the second derivative of d(o). What is k(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8*o - 30. Solve 0 = -t + o - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:35 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.9 - -38. Suppose 2*z - 5*i = 25, 5*z = -i - i + 19. Suppose 0 = 5*u - 25, 2*j + 31 = -j + z*u. What is the second smallest value in j, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 37*u. Let y be v(1). Let r = y + -33. Suppose r*k - 13*k**4 + 84*k**3 + 4*k + 18*k**4 - 44*k**2 - 73*k**4 + 20*k**5 = 0. Calculate k.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 3197?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(7\/2)*g)\/g**(12\/5))**(6\/13) assuming g is positive.\nAnswer: g**(93\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times 0.051613?\nAnswer: 2.425811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -3\/7, -18, -2\/3, 0.0262?\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 9*z**5\/2 + 15*z**4\/4 - 81*z**3\/2 + 231*z**2\/4 - 63*z\/2 + 6 = 0?\nAnswer: -4, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 - 11*q**2 + 6. Suppose 7*l - 12*l + 55 = 0. Let j(t) = 3*t**3 + 6*t**2 - 3. Give l*j(v) + 6*h(v).\nAnswer: 3*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.326 and -15.975?\nAnswer: 3.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 15989.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 17*k - 20. Let l be i(10). Suppose -l*w - 215999996 = 4*h - 51*w, -4*w + 161999984 = -3*h. What is h rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/99*(1\/(-2) - 0)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 8*c**2 + 2*c + 4. Let b be h(3). What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/3, -0.048, -4, 76?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5\/2 - 27*o**4\/4 - 9*o**3 - 15*o**2\/4 = 0. What is o?\nAnswer: -5\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1525 - 0?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {m: 3, z: 3, x: 7, u: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let q(n) be the first derivative of 5*n**4\/4 - n**3\/3 - 6*n + 2. Let w(x) = -x**3 + 1. Calculate p*q(k) - 4*w(k).\nAnswer: -k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 71. Calculate the smallest common multiple of (-2)\/(-1)*6\/2 and a.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:46 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-42 + 38)\/((-4)\/2). Solve -k - 2 = r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 380091\/20 + -18999. Find the common denominator of c and 41\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -168.84. Let s = f + 2.26. Which is the closest to s? (a) 2\/15 (b) -2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 31 = 2*l, 4*l = -9*d + 14*d + 29. Suppose -l*s - 5 = -16*s. Sort -1, s, -3 in increasing order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(684)*1)**2 + (sqrt(190)\/(sqrt(10)*2) - (2 + sqrt(19) + 1)) + -4.\nAnswer: -sqrt(19)\/2 + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/70 + 7446\/(-45)*-3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474.589*3\nAnswer: -1423.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124723 (base 11) to base 5.\nAnswer: 22242104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o)\/(o*o\/o**0))**(1\/12) assuming o is positive.\nAnswer: o**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2. Let x(b) = 3*b**2 - 6*b - 6. Let j(u) = -13 - u - 3*u - 9*u + 6*u**2. Let t(r) = 6*j(r) - 13*x(r). Calculate t(h(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117247?\nAnswer: 13, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + t + 10 = 0, 6*o - 4*t + 35 = 9*o. Suppose -o*h - 5*h = -30. What is the smallest common multiple of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k + 4. Let v be h(2). Let n be ((-249)\/v)\/(5\/20). Suppose -u + 77 = -x, x - n = -2*u - 0*x. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461762?\nAnswer: 2, 7, 32983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16117.\nAnswer: 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 9) in base 15?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 + 13200826*k**2\/3 - 26401658*k\/3 + 13200830\/3 = 0 for k.\nAnswer: -6600415, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/12 - (-42)\/(-1). Let i be (28\/p)\/(2\/(-81)). Suppose 23*l = i*l + 84. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 5*u - 3. Let l be p(4). Suppose 19*y - 120 = 7*y. What is the greatest common divisor of y and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = 433*r - 460*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4960 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*g + 1349, 98 + 188 = -g - 5*n. Let q = g - -276. Solve -2*y = 2*h + 17 - 3, -2*y + 7 = -q*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9287.\nAnswer: 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 0, 39*i - 41*i + 4*s + 20826 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f + 0*f + 40 + 5*f - 20*f wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5003 - -21605. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 232 = 0. Suppose 0 = 14*p - 20*p + 468. Let x = q + p. Solve 6*k - 2*k = -4*h + 32, -5*k = h - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -55*h - 45*h - 198 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 338707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-22))\/(17\/(-13361)). Let s = n + 9024\/17. What is the common denominator of -7\/4 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**2\/2 - 1. Suppose -7 = -2*u - 3. Let l(b) = b**2 - 3*b**u + b**2 - b**2. Determine l(t(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5951 rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3119383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)\/(((-1)\/(-3))\/(152\/228)). Sort f, 55, -10 in increasing order.\nAnswer: -10, f, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2577712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 95491421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -28*k - 44. Let p be n(-2). Solve 15 = -2*q + 5*z, -3*q = -0*q + 3*z + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 41090078 (c) -8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:07 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -468*g. Let f(x) = 22*x**2 + 9*x - 27. Let q(o) = 5*o**2 + 2*o - 6. Let b(w) = 4*f(w) - 18*q(w). Calculate s(b(d)).\nAnswer: 936*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**8\/336 - 4*v**7\/21 + 7*v**5\/60 - 6*v**2. Find the third derivative of c(w) wrt w.\nAnswer: -60*w**2 - 960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650687635 rounded to the nearest one million?\nAnswer: 651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose n*x - 29 = 6. Calculate the remainder when 27 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - (-1 - -55)) + -29?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 16. Let m = -15 + 24. Let z be y(m). Differentiate 3*f**2 + 3 + 10 - f**z with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24636 is divided by 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 282470.19 minus -126022?\nAnswer: 408492.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/3)\/(3\/9). Let u(v) = -3 + a + 0*v + v. Calculate the remainder when 4 is divided by u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -724, -724, -726, -730, -736, -744, -754?\n\"Answer: -o**2 + 3*o - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = o + 6859*b - 6868*b, 4*o - 2*o = -o + 3*b - 114 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 11*j - 20. Let v be o(-12). Let q(k) = -k**3 - 2*k**2 + 27*k - 1. What is the remainder when q(v) is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 439, 632, 941, 1366, 1907, 2564, 3337?\n\"Answer: 58*q**2 + 19*q + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13095121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24161593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36903406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 3\/(-2))*0. Let m = i - -4. Let q(d) = d - 4. Let g be q(3). Sort m, g, 1.\nAnswer: g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*z = -188*z + 837. Calculate the smallest common multiple of z and 248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*m + 56, -2*x - 7 = m + 1. Let n(b) = -9*b + 119. Is n(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 605893184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -542*a - 137716. Calculate t(-254).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. List the prime factors of (-2 + (-92)\/(-6))*h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144991051.\nAnswer: 3144991051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59671 is divided by 1126.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -13 - ((2 - 0) + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -3 - (4 - 8)) + -53 + -6\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11))**39*z*z\/((z*z**(-2\/9))\/z)*z*z**11\/z assuming z is positive.\nAnswer: z**(958\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2446, 2425, 2376, 2287, 2146, 1941?\n\"Answer: -2*d**3 - 2*d**2 - d + 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -w, -2*p = -0*p - 10. Is w less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.079, 1\/14, 1\/5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006448976 to 5 dps.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 40 = -26. Suppose 0 = 5*k + 3*v - z, -3 = k + 2*v - 13. Is (-1410)\/(-40) - k\/8 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42270 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3296*k**4 + 7*k**3 - 7*k**2 + 3180. Let b(v) = 1099*v**4 + 2*v**3 - 2*v**2 + 1060. Let j(l) = -7*b(l) + 2*x(l). Differentiate j(a) wrt a.\nAnswer: -4404*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from affnrfayrfnranyny. Give prob of picking 1 r and 1 y.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (131 - 132)*2*-1. Let a(c) = 6*c - 1. Let s be a(1). Let x = s + b. Solve 4*w = 29 - 9, -3*t - 2*w = -x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242377354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = 4*b, -444*h + b + 90 = -461*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/((-64)\/(-190)). Let v be ((-3111)\/(-112))\/(-3) + 1. Let r = v - b. Find the common denominator of r and 1\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*i**3 - 176*i**2 - 494*i - 7.\nAnswer: -828*i - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 129 + 207. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1687681\/14 or 120548?\nAnswer: 1687681\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vkvvuxn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -33, -23, -13, -3, 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.1, -91?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b + 11. Determine n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 85588.09 decades?\nAnswer: 855.8809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.67 + 0.17. Let g = 0.5 - b. Let q = -1.568 - 0.432. Sort g, q, 0.17, -3 in increasing order.\nAnswer: -3, q, 0.17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/(-141) + -38 + 43)*(-4 - -5).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 229 and 542378.\nAnswer: 542607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 13*d**2 + 8*d + 2400. What is the hundreds digit of l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + 18 + -11 - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4496656028 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87213 (base 12) to base 2.\nAnswer: -101011100001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let z = -11 - -9. Let c be b(z). Suppose -5*m = 3*n - 4, -2*n + 0*n + 1 = 5*m. Are m and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 96*b + 53*b - 24*b + 38*b.\nAnswer: -29*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 1)\/(9\/(-12)). Suppose 4*k - 4 = t. Let q(b) = -b**3 + 4*b**2 + 6*b + 7. Let l be q(5). Solve -s + 3*s + 4*n = -l, k*s = -n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 4*s**2 + 3*s**2 + (-37*s + 2989 - 2989)*(5 + s - 5)*(5 + 1 - 2).\nAnswer: -141*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 98*z**2 - 1191*z - 864. Determine w(109).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - 3*q**5 + 2*q**4 + (-5*q**3 + 3*q**3 + 3*q**3)*(-2*q + 2*q - 2*q**2) + 4*q**5 + q**5 - 4*q**5 - 3 - 3*q**5 + 3.\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-1)\/(-2) - 1. Suppose 3*c = 8 - w. What is the smallest common multiple of 1 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -887*w**2\/2 + 1998*w + 918. What is the first derivative of l(c) wrt c?\nAnswer: -887","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + sqrt(168)*-2*6)\/(sqrt(36)\/sqrt(3)*3))\/((1*1*sqrt(12))\/(-2*sqrt(864) + sqrt(6))))**2.\nAnswer: 448063\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156198660*k**2 - 19157367.\nAnswer: -312397320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x**2 - 5\/3*x**3 - 1 + 0*x. Let l(y) = y. Calculate a(l(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 1 a when three letters picked without replacement from njdjjjdjajjffjjj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-6\/19) assuming a is positive.\nAnswer: a**(6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -829*d**2*t + 3924566*d**2 + 2*d*t - 57*t wrt t?\nAnswer: -829*d**2 + 2*d - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -55)\/(-1 + 2). Let j be f\/18 - (-8)\/(-36). Suppose j*n + h = 12, -4*n + h = -h - 16. Put -1, -4, n in increasing order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*-3)\/(-4) + (44 - 58)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -277, -279, -289, -313, -357?\n\"Answer: -w**3 + 2*w**2 - w - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 192597*z\/4 - 48149\/4.\nAnswer: -(z - 48149)*(4*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 383072 + 0?\nAnswer: 383072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {u: 5, w: 1, c: 1, l: 2, t: 7, m: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(-78))\/((-10)\/(-6)). What is the closest to 0.1 in 5, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - -1000001111?\nAnswer: 1000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.84429935 rounded to three dps?\nAnswer: 5.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 196. Suppose -3*j + 21 = -3*o, 6*o = -2*j + 3*o - 1. Suppose -j*x + 49 = 3*x. What is the remainder when i is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98871727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -47. Let x(t) = t**2 - 4*t + 3. Let d be x(4). Suppose -d*f - 5 - 4 = 0. Is b less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38895 + g - 2*g**2 - 38896 + 1008*g**3 - 6840*g**3 to the form f*g**2 + s*g**3 + u*g + r and give s.\nAnswer: -5832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 103946759267\nAnswer: -103946759318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 + 3657*o**2*v**2 + o + 6*v**2 - 5*v - 133 wrt o?\nAnswer: -6*o + 7314*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 3*b - 7)*(-3 + 1 + 3).\nAnswer: -3*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*k**2*u**5 + 2*k**2*u - 122*u**2 wrt u.\nAnswer: -15360*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 5*h**8\/336 - h**7\/21 + h**5\/6 - 5*h**4\/24 + 9*h**2. Find a, given that s(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-714)*-77*36\/(-45)*15\/(-33)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*u - 1608 + 1608.\nAnswer: -645*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15328100, -30656205, -45984310, -61312415, -76640520, -91968625?\nAnswer: -107296730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + -2 - 5 - -10. Put -4, p, -1 in descending order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 6 = 0. Suppose -6*x = -g*x - 404. Suppose 2*j + 3 = x. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2291\/1958 + -3\/89. Let n = 457\/6 - 85. Calculate the common denominator of l and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v - 3)*(-1 + 0 + 2)*(-2 + 1 + 3)*(-1 + 2*v + 1).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 1288\/13. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - c**4 + 2*c**3 - 2*c + 2 - 3 + 3*c**4 as p*c**2 + x + h*c**3 + b*c + w*c**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/4)\/(((-975)\/(-6968))\/(-25)). Let x = 860 - i. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 180*k**2 + 12. Let r be v(30). Solve 9*w + 12 = r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-11)\/(-154))\/(0 + 1). Let s = -1 - 0. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21068625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(2736) + 1 + 3).\nAnswer: -240*sqrt(19) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 45 = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1833876 and 2420?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/676, 0.57, 1\/5?\nAnswer: -1\/676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 165?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/2100 and 19\/6.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -108 and -524.26889.\nAnswer: -632.26889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c - 18. What is b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - v + 3. Let p(o) = 2*o**2 - o**2 + o + 0*o. Let y(k) = n(k) - 3*p(k). What is the remainder when 23 is divided by y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065679416 a multiple of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 70*r - 72 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7 + 17*v - 9*v - 5*v**2 + 8*v**2. Is 21 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.454047 * 0.2.\nAnswer: 6.0908094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -119*d**6\/60 - d**5\/60 - 134*d**4\/3 - 9*d**2 + 46*d. What is the second derivative of w(s) wrt s?\nAnswer: -1428*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + 2570*s - 17794. Give u(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 7 - 8*k - 2*k**2 + 3 - 1. Suppose 5*i = 5, 2*l - 2*i - 2*i = 72. Suppose -l = j - 45. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**2 + 1012*d + 336.\nAnswer: 4*(d + 84)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Solve -j*f - 15 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -300125 (base 6) to base 16\nAnswer: -5b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxkkykykxyky. Give prob of sequence ky.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -14, 1, -101 in descending order.\nAnswer: 5, 2, 1, -14, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6227366 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 5*l**2\/2 - 87*l. Let n(w) be the third derivative of -7\/2*w**3 + 0 + w**2 - 1\/24*w**4 + 0*w. What is 9*c(a) + 2*n(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - y**2 + 0*y**2 + 7*y**2 - 3*y**2.\nAnswer: 3*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105931 and 1036.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-128)*(-70)\/(-119)*4\/(-10)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1560 + -1546. Solve -10 = f - 5*h - a, 5*f + 5*h = -10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114225.1879 + 114220. What is y rounded to 2 dps?\nAnswer: -5.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let w be (1 + d)\/(-4 - -2). Let c be 0 - (0 + (-1 - 0)). Solve w*n + n = -c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 34, 67, 154, 313, 562?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585029557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 30542 = 14*f - 65554. Which is bigger: 2182 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/51 (b) -3\/2 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 + -1)) + 1. Suppose g*v - 130 = -2*v. What is the remainder when v is divided by (-3)\/(-4) - (1 + (-570)\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.5, 13, 18.7, -0.3, 2.\nAnswer: -6.5, -0.3, 2, 13, 18.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44212?\nAnswer: 2, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (-4 - (-10 + 4 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9634 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(2\/11)\/n)\/n)*n)**(-2\/67) assuming n is positive.\nAnswer: n**(-84\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 219192640 or 219192641?\nAnswer: 219192641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -12*l**5\/5 + 12964*l**4\/5 - 3490468*l**3\/5 - 1184564*l**2 + 18679648*l\/5 + 14048688\/5 = 0.\nAnswer: -3, -2\/3, 2, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001100110011 (base 2) to base 3.\nAnswer: -2010022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 54. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 507431749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1022 + -1014. Calculate the least common multiple of 2 + -1 - (-1 - 0) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 374 - 375. What is the closest to 1 in -10, 2, p, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 17*h**2 + 2*h + 36. Let f be s(-17). Solve 15 = -f*k - 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**2 - 9*f. Let r(i) = -6*i**2 + 4*i. Let t(m) = -4*j(m) - 9*r(m). Let q(s) = -19*s. Calculate t(q(x)).\nAnswer: 722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(6 - (-520)\/(-84))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {i: 2, t: 2, v: 1, z: 2, d: 1, n: 5}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 179 = 7*c - 2*h, -5*c - 4*h = -295. Suppose c = -b + 207. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 481*l + 1455. Let j be n(-3). Solve 21*f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*f - 30 = -173*f. Factor 110*s**3 - 1112*s + 4936*s**2 + 250*s**5 + 3368*s + 658*s**f - 1950*s**4 + 320 + 1652*s**3.\nAnswer: 2*(s - 5)*(s - 4)*(5*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*b + 4 = -4, 0 = -3*k + 5*b - 20. Let f(g) = 31*g**2 - 10*g + 21. Let p(m) = 17*m**2 - 5*m + 11. Let q(w) = -6*f(w) + 11*p(w). Calculate q(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 7)*(-10 + 2). Suppose q - 252 = -249. Solve -q*b + 7*b = k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 232 - -302?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and -639607.12777?\nAnswer: 639630.12777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 83*p**2 + 15*p - 14. What is the hundreds digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*w + 337*w + 21 = 0. Let a be ((-4)\/(-6))\/(2\/6). Let z(o) = -2*o + 15 - 7 - 7. Let b(d) = -d + 1. Determine a*z(u) + w*b(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (0 - (-205)\/45). Let w = -113\/90 + h. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*g = 7*v - 113, 5*g + 284 = 3*v. Let h be v\/(-3 + 26\/9). Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 >= 865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*255239\nAnswer: -765717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*s + 2*s = 134, 95 = 3*p + 2*s. Suppose -31 - p = -4*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 1. Let c(a) = a**2 + a - 13. Let x(m) = c(m) + 2*z(m). Let l be x(0). Let n be -2 + 7\/3 - 115\/l. Solve -3*f = f - n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 15. Let a be f(-12). What is the third smallest value in 0.2, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*c + 69271 = 1051*c - 28968 + 1663 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 14. Let k = o + 12. Suppose 40 = k*p - 4*a, -3*a + 6*a + 19 = p. Solve m = 2*w + 2*m + 4, 24 = -2*w + p*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/250*295 - -46.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/((q**(-4)\/q*q)\/q)*q*q*q)\/q)\/q)\/(q\/(q*q**(-2\/25)\/q))*q*q\/(q*q\/q**1*q)*q*q*q*q**(3\/7)\/q)**(13\/4))**(-27) assuming q is positive.\nAnswer: q**(-512811\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*s = -5*s, 0 = 4*q - 4*s. Suppose 0 = 7*b - 4*b - 3, q = f - 4*b - 108. What is the highest common divisor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-77)\/42)\/((-2)\/90*-5))\/((-1)\/4).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-45)*48\/8*18\/(-255)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**5\/5 - 667*x**4\/2 + 446221*x**3\/3 - 444222*x**2 + 443556*x + 469. Factor f(o).\nAnswer: (o - 666)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 133. Suppose 3*a - 15 = -3*h, h - 2*a - 11 = -d*a. Suppose 4*i = -z + 381 + 513, 0 = z - h. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from {q: 4, k: 1, e: 2, u: 2, w: 2, i: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230100 and 172575.\nAnswer: 690300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 8. Calculate the remainder when f\/((-29)\/14 + 2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5004271 to the nearest integer?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45675 = 16123*b - 16848*b for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.1060346\nAnswer: 0.44241384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 7. Let t be d(-8). Suppose 2*m - t = 9. Suppose -3*y = y - m. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) -2\/19 (b) -3 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.85, 0.4, 4\/43?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -23 + 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 4 (b) 146 (c) 2 (d) 2\/13 (e) 0.02 (f) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -49, 0.2, -2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -3*1*28\/42. Put 0, -100, b in ascending order.\nAnswer: -100, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 0, 1, 21 in decreasing order.\nAnswer: 21, 3, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*b**2 + 18 - 13 - 5 to the form y + i*b + l*b**2 and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/8 - -2)\/1. Suppose -5*i + 25207 = 9*r - a*r, 5*i - 25183 = 4*r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2045.802 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) + (-38)\/30. Which is the closest to -1? (a) -1\/5 (b) 0.6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) + 8\/(-4). Let j be -5 - -17 - (-1 - m). Solve -3*z - j = 3*s, z - 3*s = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 12*n + 6. Let b(d) = -2*d**2 + 6*d + 3. Let s(o) = -9*b(o) + 4*z(o). Let w(f) be the first derivative of s(f). What is w(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 21*a**3 + 12*a**2 + 16*a - 5. List the prime factors of y(7).\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-1136)\/112 + (-3)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/186693 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010122110200121 - 12?\nAnswer: 11010122110200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q - 19. Let r(j) = 16*j + 18. Let w(u) = 5*r(u) + 4*v(u). Let h(k) = -3 - 5542*k + 1842*k + 1851*k + 1845*k. Calculate 14*h(s) + 3*w(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -149 times -2.4\nAnswer: 357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115147 is divided by 9592?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16438?\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = 6*k + 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3336271 by -1.\nAnswer: 3336271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*r - 4 = 4*n, -4*r - 15 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Let o be (-272)\/12 + a\/6. What are the prime factors of -4*o*2\/8?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 + 10?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32641493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176))**2*-1 - (sqrt(99) - (4 + sqrt(99)*1))) + -1.\nAnswer: -174 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose 5*h = 3*y - 136, -t*y = -5*y + 4*h + 94. Let u = y - 23. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(200) + 2*sqrt(200) + sqrt(200)) - (sqrt(200) + 2 + 3))*-6 + 2)**2 + 1)*2 + 3.\nAnswer: 130560*sqrt(2) + 4163653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 11*v**7\/420 - 5*v**4\/4 - 4*v**3 + 37. Let y(c) be the third derivative of o(c). Find the first derivative of y(z) wrt z.\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3 + 3)*(-2*y + 2*y + y**3) + 29*y**5 + 48*y**5 - 53*y**5 + 18*y + y**5 - 18*y.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 367620.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (592\/1147)\/(240\/6)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14117487 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 14*f + 12*f - 122*f**2 - 39*f - 8 + 125*f**2.\nAnswer: 3*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 726268604 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 783670*g - 36059400.\nAnswer: 5*(g - 46)*(g + 156780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095 is divided by 335.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3 + 2*r. Let p(z) = 29*z**2 + 85*z + 94*z - 56*z**2 - 179*z. What is p(m(l))?\nAnswer: -972*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*a + 566*a + 543*a + 502*a - 2295*a.\nAnswer: -143*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 81 + 388 + -432?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -135?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*b - 3*r, -5*b + 4 = -r - 1. Suppose b = -2*f + 4. Is f at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50271379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 825294 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:21 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -561124 - 5123?\nAnswer: -566250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8330 is divided by 3999?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:07 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/26*1625\/(-125). Which is bigger: -13\/20 or i?\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -4, -1 in increasing order.\nAnswer: -4, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = u + 11, -4*u - 7 = -5*s - 5*u. Suppose -3*z - i = -3, -4*i + 14 = -3*z + s. Solve -3*w + 2*p + z - 6 = 0, -4*p = -w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*z + 78*z - 953*z + 37148 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2023*v**5\/4 - 4539*v**4\/4 + 2103*v**3\/2 - 280*v**2 + 24*v = 0.\nAnswer: -3, 0, 4\/17, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 66, 98, 130, 162, 194?\n\"Answer: 32*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*l - 64*l = 53*l + 69*l + 69*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*m - 7584 - 1160 = -1976 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -615\/39344?\nAnswer: -615\/39344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -39*y + 0 + 1\/6*y**3 - 1\/15*y**6 + 0*y**4 + 0*y**2 - 3\/20*y**5. Factor f(z).\nAnswer: -z*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 20\/8. Suppose 0*g - 5*g + 20 = 0. Solve t*z - 4 = -z + 4*f, -4*z + 5*f = -g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1. Let o(u) = u + 3. Suppose -9 = -0*k + 3*k, k = 3*v - 3. Suppose 5*i + v*i = 0. Let j = -1 - i. Give j*o(s) + 3*b(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 441*g**4 - 140*g**4 - 3*g - 172 + g**3 + 29 - 150*g**4 - 149*g**4 in the form z*g**3 + b*g + h*g**4 + l + x*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*m = -9, -10 = -2*r + 5*m + 1. Let g be r + (-176 - 2) + 2 + -1. Let a = -80 - g. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 4:38 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4 - 9*r + 5 - 1. Let u(d) = -d. Let f(p) = l(p) - 3*u(p). Let s(m) be the second derivative of -m**4\/6 - 16*m. Give f(s(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506855305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 30. Suppose -2 = 5*y + 18. Let u(z) = 9*z - 91. Let b(i) = -8*i + 79. Let g(s) = 7*b(s) + 6*u(s). Let m(n) = y*t(n) + 18*g(n). Determine m(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17. Solve f = -0*l + 2*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134\/85 + -29624\/18785. Let a = 266731\/30056 - h. Let b = 12425\/724 - -16\/181. Find the common denominator of a and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 376000?\nAnswer: 376005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 + 4.6. What is the third smallest value in 7, t, 1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269 - 269. Suppose 2*q = -4*m + 12910, i = 3*m - 1 - 8. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1934*u = -3*w + 1932*u - 2, 0 = -15*w - 4*u - 40 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1067425)\/(-15) - 4\/(-36)*-6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87008 divided by 21752\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 14*o**4 + 7*o**2 - 3 - 15*o**4 - 10*o**2 - 8*o**3 to the form q + u*o**2 + j*o + c*o**3 + v*o**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1163\/5 (c) -4.7 (d) 0.138 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**4 + 0*v**2 + 0 + v - 1\/15*v**6 + 1\/6*v**3 + 0*v**5. Find the second derivative of q(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83732513 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2, -953, -0.1, -74 in ascending order.\nAnswer: -953, -74, -2, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24466805?\nAnswer: 5, 11, 37, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 8. Suppose 8*r + 3 = 19. Suppose -27 = 4*w + 5*q, 0 = r*q + q - 15. What is the remainder when 9 is divided by n(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/6 + 3*b**3\/2 + 6*b**2 + 2973*b. Give o(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from ovvvvvvvvvvvvvvvvvvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 o when three letters picked without replacement from rfoofjjooojjof.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2817 = 4*s, 73*f - 1871 = 71*f - 5*s. Suppose 949*r = f*r + 5250. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -15 - 37. Suppose j + q = 4. Let w = j + 17. What is the lowest common multiple of 70 and w?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2543, -2, -22, 3 in descending order.\nAnswer: 3, -2, -22, -2543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let l = 12 + -12.1. Let v = 6.4 - 6. What is the closest to o in l, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8972?\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 3*j - 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (117 - 125)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 6. Let h be v(-6). Let x be ((-136)\/12)\/((-2)\/h). Is 12 a factor of ((-2)\/(-2))\/(1\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:34 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -81 + (-5)\/5*-2. Let m = -789\/10 - v. Is -2 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/15 (b) -0.3 (c) 4 (d) 10\/19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/13)\/w)\/(w*w**(-3\/8)*w))\/(w*w**(-8)*(w\/(w*w**6)*w)\/w))**(1\/4) assuming w is positive.\nAnswer: w**(1199\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(45\/(-12505320)). Is t\/(-9) + (-5)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.827075 - 808.778775. Let x = 790 + i. What is x rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l + 8. Give z(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*s - 2*s - 276, 2*s = 4*y + 182. Let q = s + -92. Solve 2*u + q = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2\/2 + 2028153*m\/2 + 1014078 = 0.\nAnswer: -1, 676052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15186.825s?\nAnswer: 4.2185625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208015931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003862284 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 10. Let z be a(-7). Let v be z*(1 + (-15)\/9). What is the nearest to 0 in v, 5\/3, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1271, 1278, 1297, 1334, 1395, 1486?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598998.\nAnswer: 2, 2299499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-9)*(-48)\/10. Let k = b + -4\/3. Let c = 0 - -0.1. Sort 2\/15, k, c in decreasing order.\nAnswer: 2\/15, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 25 - 0. Suppose 4*x - 2*x + 4 = 0. Which is the nearest to x? (a) -3\/4 (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 5*1*sqrt(1584))*6)**2 + (5 + -1 + sqrt(1584))**2*5.\nAnswer: 480*sqrt(11) + 2060864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -q - 33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*z + 247, 2*g - 163 = -3*z - 49. Calculate the greatest common factor of g and 2992.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 93.14098cm?\nAnswer: 0.9314098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-15 - -40) - -9) + (-17 - -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 - 17*k. Suppose f = -2*v - 4*f + 14, 5*f = -4*v + 28. Let m be s(v). What is the greatest common divisor of m and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4783, -22096, -39409, -56722, -74035?\n\"Answer: -17313*d + 12530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y. Let n be c(-6). Let d(x) = 77*x + 390. Let t be d(-5). Solve -8 = -8*q + 4*q - g, n = t*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*n - 1 + 4*n)*(7*n + 36 - 36) to m*n + g*n**2 + f and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 402*l**2 + 18720*l + 151424.\nAnswer: 2*(l - 104)**2*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 3*c, -5*f = -5*c + 4*c - 20. Solve f*w = -0*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-7))\/(5 - 180\/35). Is (i\/4)\/(12\/(-70504)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 382 + 5347 = 7*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**3 + 1343*h**2 + 200*h - 63. What is the ten thousands digit of u(149)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*t*v**2 - 328*l*t*v - 148*l*t - 27*l*v - 384*l - 3*t + v**2 + 1 wrt t?\nAnswer: 3*l*v**2 - 328*l*v - 148*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2 + 5?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1688174.\nAnswer: 2, 844087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00972384 rounded to five decimal places?\nAnswer: 0.00972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:26 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*b - 128, 109 = -3*b + 4*p - 0*p. Let d = b + 48. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*22*(-17)\/306*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1452 and 3474999.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 72. Let p = l + 38. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from crnrecel.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(-1) + (-35)\/14. What is the common denominator of 57\/(-5) + ((-36)\/30)\/u and -59\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -33*l + 1\/70*l**7 + 1\/50*l**6 - 1\/5*l**4 - 9\/50*l**5 + 4\/5*l**3 + 0 + 0*l**2. Suppose t(q) = 0. Calculate q.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5728?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 50*c**5 + 119*c**3 + 8572*c**2 - 8604*c**2 + 200*c**4 - 24*c + 23*c**3 = 0?\nAnswer: -3, -1, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -40*l + 15. Does 19 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(70\/15 - 4). Solve p - f = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159.04 + 21.42. Let y = a + 16.74. Round y to the nearest integer.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -533.6 + 534.1. Which is the third biggest value? (a) -0.14 (b) -0.19 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**16\/c**(2\/9) assuming c is positive.\nAnswer: c**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 2519 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**7\/2520 - m**6\/120 - 3*m**5\/40 + m**4\/6 - 4*m**2. Let z(w) be the second derivative of a(w). Is 3 a factor of z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 20. Suppose -5*o = -4*s - u, 4*s + 0*o + 2 = 2*o. Let n be s + 1*3\/(-1). Let v(m) = 4*m - 1. What is v(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/5 + ((-6)\/5 - -1). What are the prime factors of j*(-352)\/4*-2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 + 5*q - 9. What is b(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d - 2. Let h be j(-2). Let t(z) = z**2 + 125. Let q be t(h). Calculate the greatest common divisor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 253.662543us?\nAnswer: 0.0000000029359090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.069732 years to decades.\nAnswer: 0.6069732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246623\/15 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 7*b. Suppose 24 = 2*y + 4*y. Let n(p) = 3*p**3 - 20*p. Determine y*n(q) - 11*w(q).\nAnswer: q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*h + 18. Calculate the lowest common multiple of 22 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 10\/2 - 2*2. Suppose 4*m - 432 - 112 = h. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 21*b + 24. Let n be m(-10). Let q = -83 - n. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 503.08 + -503. What is the nearest to -19\/4 in o, -5, 5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*m = 30 - 180, 0 = 4*j - 3*m - 117. What is the remainder when j is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1017 by -1.\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceec when four letters picked without replacement from {e: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irijirjiijxijijjrirj. Give prob of sequence xrj.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - -2)\/(-2 + 0))\/(-1). Let s(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + d**2 - 1\/210*d**7 + v*d + 0*d**5 + 0*d**6. Factor s(r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1274 - 1254. What is the highest common factor of x and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -2. Let r be -1 + 0 + (-6)\/(-3). Let a be 2\/(r*(0 + -2)). Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -53*h - 3. Let r be g(1). Let i = r + 31. Let l = i - -27. What is the lowest common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6793203\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107049 and 728353?\nAnswer: 37146003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36*u - 570. Let w(x) = -938*x + 5612. Let h be w(6). Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 2*o**6\/15 + 7*o**5\/5 + 17*o**4\/3 + 34*o**3\/3 + 12*o**2 + 444*o. Suppose c(r) = 0. Calculate r.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/64159 and -18\/4565?\nAnswer: 3528745","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/78)\/((-3*3\/54)\/6). Let u(h) = 3*h**3 - 2*h**3 + 0*h**2 + h**2 - 1. Let q(a) = 20*a**3 + 12*a**2 - 12. Give l*u(j) - q(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/(o*o*o\/((o**3*o)\/o)*o*o*o))\/(o*o\/o**(2\/3)*o*o*o\/((o\/(o\/(o\/(o\/o**(2\/11))*o)))\/o)) assuming o is positive.\nAnswer: o**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22875\/(-9)*(-1 + -479). Suppose -d - i = d. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/37002 and -73\/21144.\nAnswer: 148008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d**2 - 11 + 11)*(3*d**3 + 10*d**3 + 2*d**3) + 2*d**4 - 5*d + 5*d - 3*d**5.\nAnswer: 237*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 673612108 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = t + 40. Let j = -33 - t. What is the remainder when j is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*6*3)\/(((sqrt(385) + 1*sqrt(385) - sqrt(385))\/sqrt(7))\/sqrt(5)) + -2.\nAnswer: -2 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 5*z - 10 = 27*p, p - 8 = 4*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 26. Let x(b) be the first derivative of -2\/3*b**u - b + 2 + 0*b**2. What is the derivative of x(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*g = -6007 - 42702 - 5516 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 486235.5 weeks in microseconds?\nAnswer: 294075230400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.8. Suppose -3*q + 4 + 2 = 0. Let v = q + 0. Which is the third smallest value? (a) -2 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 - 22*u**3 - 103)*(-30 + 30 + 392*u) to the form p + o*u**4 + z*u**2 + j*u + k*u**3 and give o.\nAnswer: -8624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 0.00835?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 3\/2, -249, 1 in ascending order.\nAnswer: -249, 1, 3\/2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033302122 (base 4) in base 16?\nAnswer: -4fc9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1529851221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2695*d**6 - 3883*d**2 wrt d?\nAnswer: -323400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208351 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -531*c + 21. Let d(z) = 182*z - 7. What is -8*d(p) - 3*f(p)?\nAnswer: 137*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83\/(17 + 3344\/(-198)). Solve 144 = -w*c + 763*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16467 and 1298.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6594 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 7*t + 16. Let v(u) = 5*u**2 + 2*u - 2. Let m be v(1). Let l be n(m). Let q be -7*1\/3 + 2\/l. Which is the biggest value? (a) q (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 + 30*d + 83. Let z(f) = -17*f**2 - 90*f - 247. Let v(c) = -8*o(c) - 3*z(c). What is the first derivative of v(h) wrt h?\nAnswer: 6*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 2*u + 3*u)*(-237 + 545 - 186) to the form k + o*u and give o.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 504707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + s + 29 = 6*s, 4*s - 4 = 4*c. Let l(t) = -10*t**2 - 11*t - 4. Let p(h) = -12*h**2 - 12*h - 4. Let i(d) = 7*l(d) - 6*p(d). Give i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**2 - v**3 - 223*v - 3*v**2 + 17*v**4 + 910822*v**5 - 910763*v**5 wrt v?\nAnswer: 3540*v**2 + 408*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s - 1. Calculate the remainder when d(1) is divided by 4 + 7\/((-35)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a)**(-41))**(1\/2) assuming a is positive.\nAnswer: a**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.705 minus 126.8856?\nAnswer: -127.5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.3699433 to 3 decimal places.\nAnswer: -40.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-5)\/12)*(-171)\/(-513). What is the closest to 0 in x, 4\/9, -27?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in 4, -0.2, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 + 2*w**2 - 1. Is d(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-2)\/12). Suppose 14 = -d + 4*j, d + y*j - 4 = 3*d. Suppose -d*h + 6*h = 0. Solve 0 = i - h*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from vaaavavaavavaa?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4454)\/(-85) + 3\/5. Let n = b + -130. Let c = -43 - n. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160085 and 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 413240981 to the power of 1\/2, to the nearest integer?\nAnswer: 20328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a - 20. Let t be c(5). Let m be 12\/(-16) + t\/(-20). Let o = -4.4 - -4.9. Sort o, 0.09, m.\nAnswer: 0.09, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 9220*n + 9215 = 0.\nAnswer: -1843, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3230264*r**2 + 2*r*y**3 + 10*y**3 - 830*y**2 + 94*y wrt r?\nAnswer: -6460528*r + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = -509 - 503. Which is greater: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 - 3*p - 26. Let v be l(9). Suppose -x = -3*s + v, -4*s + 3*x + 946 = -70. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -207. Suppose 1073 = 8*k + 753. Let z be ((-24)\/10)\/(((-108)\/k)\/9). Calculate the greatest common divisor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2 - 8*o.\nAnswer: 2*o*(3*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23*r**2 + 3*r - 2. Let u be j(1). Calculate the highest common divisor of u and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347160.\nAnswer: 2, 3, 5, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412363 is divided by 45816.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 69*h - 66*h + 0 - 1. Calculate p(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 228 + 82?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 - 3*x**5\/10 - 3*x**4\/4 - 17*x**3\/6 - 509*x**2. Let j = 61 + -42. Let w be r(j). Solve w*n + 10 = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in -4, -15\/4, 5, 0.41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3\/8)\/k*k)\/k)\/k)**(-31\/2) assuming k is positive.\nAnswer: k**(341\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*f + 90. Let z = f - -21. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b - 55*b + 8*b)*(0*b - 2*b + 0*b)*(0 - 6 + 3)*(-10*b - 45 + 45) in the form w*b + p*b**3 + i + d*b**2 and give p.\nAnswer: 2460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/9)\/(-2 + 60\/9). Let c(z) = -2*z + 1. Let b be c(1). Sort b, i, 3, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2952284925.1998217 - -2952284557. Let x = 368.2 + w. Round x to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4742 divided by -4?\nAnswer: 2371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 320.115\nAnswer: -15685.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 + r + 13. Determine o(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/15 - (-132)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4944 + 1965 = -241*h + 3542 + 2878 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = r. Suppose -r*y = -3*y + 2. What is the remainder when (-2 - 2) + y + 45 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -2\/3, 4, 2, 4.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5 + 31 = 0. Suppose -5*r - 3*c = -152, 3*c - 124 = -k*r + 2*r. Let t be (16\/r)\/(-2) + 1060\/(-14). Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6263356.\nAnswer: 2, 11, 283, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19041 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4908833ml to litres.\nAnswer: 0.0004908833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v - 42. Let s(f) = -5*f - 42. Let u(a) = 4*k(a) - 5*s(a). Let l(m) = -2*m**2 - 19*m - 20. What is the remainder when u(0) is divided by l(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/k**(-35) assuming k is positive.\nAnswer: k**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m**4 + 45*m**2 - 2*m - 94*m**2 + 3 + 50*m**2 to j*m + b + x*m**3 + w*m**2 + l*m**4 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o + 12. What is the remainder when 9 is divided by -2 + o\/(4\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -70.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + d**4 - 2*d**2 - 63*d**3 + 58*d**3 - 2 to the form a*d**2 + h + y*d + l*d**3 + u*d**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3127 + -3157. Which is the closest to 2\/3? (a) -4 (b) f (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*sqrt(513)*3)\/(-2*sqrt(243)*6 + sqrt(243) + sqrt(243) + -1*sqrt(243)*6).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 16. Let m = s - -14. Is (2\/m)\/(4\/280) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 10. Suppose 0 = -c - c + 4*k + 8, 34 = -4*c - 2*k. Let d be l(c). Let z be -2 - -1 - -2 - 4. Put z, 0, d in decreasing order.\nAnswer: d, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302142*p**2 + 300076*p**2 - 4 + 4 to z + t*p + o*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**23\/(u*u\/(u*u**(2\/29))*u) assuming u is positive.\nAnswer: u**(611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-68) + (-1892)\/(-3655). Sort f, 3\/17, 5\/4 in decreasing order.\nAnswer: 5\/4, f, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*p**2 - 3 - 181*p**2 - 8 - 35*p**2 - 1.\nAnswer: -658*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -4*j**2 - 61*j - 14815. Determine k(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g. Let m(h) = 9199*h + 949. Give m(x(t)).\nAnswer: 55194*t + 949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2037 + 2?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408 by -6.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1069746.\nAnswer: -320923.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1361700 and -127\/24480.\nAnswer: 10893600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 1 + c + ((-31 - 166 + 24)*(c - 4*c + c) + 3*c - c + 0*c)*(-3 + 9 - 1).\nAnswer: 1741*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 9. Suppose 0 = 3*y + 2*w - 8, 0 = y - w - 4*w - 31. Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 45*c**3 + 540300*c**2 + 360185*c + 60030 = 0.\nAnswer: -12006, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 72, 80, 90, 102, 116, 132?\n\"Answer: g**2 + 3*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - 2*sqrt(704)) - (sqrt(220)\/sqrt(4))\/sqrt(5))**2 + (0 + -2*sqrt(396) + -5*(1 + sqrt(11)))**2.\nAnswer: 170*sqrt(11) + 5679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 - 2)*-1. Let b(h) = -5*h**3 - 6*h**2 + 14*h - 4. Let n(c) = -4*c**3 - 6*c**2 + 13*c - 5. Let k(y) = 5*b(y) - 6*n(y). Let m be k(5). Sort s, m, 2.\nAnswer: m, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - 35\/(-3))\/(14\/12). Which is the smallest value? (a) -3 (b) 0 (c) 19 (d) p (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 946 and -67?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1150\/1725)\/((-22)\/30)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 896292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Let j = 3 + -7. Let l = a + j. Is -1 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1626463 rounded to 4 dps?\nAnswer: -0.1626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 + 3*u + 2. Let m(g) = 25*g - 401. Let d be m(16). What is k(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/15 - 4\/2. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*h**2*m**3 - 2*h**2*m**2*z**2 - h**2*m*z + 4*h*m**3*z**2 + 215*h*m**2*z wrt m?\nAnswer: -1296*h**2 + 24*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nduvdfuffffgddnguunn. What is prob of picking 1 v and 1 g?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8829045?\nAnswer: 3, 5, 196201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a170339 - 3?\nAnswer: -3a170340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a year in months?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/10 + 19\/15. Let y = -677473\/26 - -26053. Calculate the common denominator of y and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -623?\nAnswer: -4\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = -4*i. Suppose 0 = -6*n + i*n - 16. Solve 8 - 4 = n*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*v**2 + 117*v**2 + 249*v**2.\nAnswer: -165*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 * 93533\nAnswer: -495724.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 21. Let t be o(-7). Suppose 1156 = 4*a - 21*a. Is t less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 1860 = 0. Let a(j) = -j**3 - 11*j**2 - 29*j + 10. Let i be a(-6). Suppose 7*d = 2*g + 2*d - r, i*g + d = 766. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6054*p**2*w**3 - 9149*p**2 wrt w.\nAnswer: -18162*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1015)\/2940*-21)\/(3\/(-12))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 4. Suppose 0 = 4*x - x - 45. Let h(d) = x*d + 6*d - 22*d + 1. What is -6*h(t) + 2*v(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 1021?\nAnswer: -11\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1 + 1)*(3 + 2 - 4) + (3 - 3 - 3*k)*(3 + 0 - 2) + k + 2*k - 2*k - k - k + 0*k + (4 - 4 + 2*k)*(0 + 1 - 3) + (-3 + 3 + k)*(-2 + 0 + 3).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143\/3 + 703\/15. What is the nearest to 2\/23 in j, -0.3, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-177 + 344 - 168 - 40*k)*(0*k + k**2 + 0*k) in the form p*k**2 + y*k**3 + x + u*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 18. Let z be (3\/q)\/((-2)\/4). Let i be (-6)\/4 - 13\/(-2). Sort i, 4, z in descending order.\nAnswer: i, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2216*u + 850937. Determine b(384).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-171)\/6*(-112)\/21.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30524, 241664, 814042, 1928276, 3764984?\n\"Answer: 30103*m**3 + m**2 + 416*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -7 - 12 - (-2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*g**3 - 26*g**3 - 13*g**2 - 20*g**3 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b - i + 7, 2*i = 5*b + 3. Let d be 3*(-1 + 12\/15). What is the nearest to b in 2\/5, d, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) 1\/2 (c) -4 (d) 2\/345\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 685233, 685237, 685241, 685245?\n\"Answer: 4*c + 685229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a century in years?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:36 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - w + 1. Let g be 20\/150 + 506\/30. Let o = 18 - g. What is q(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 + 9 + -1 + 4. Put r, -1\/3, -0.15, -1\/2, 2\/13 in ascending order.\nAnswer: r, -1\/2, -1\/3, -0.15, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -5029517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 11*x = 5*z + 10, -609*z - 4 = -x - 607*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 - 110 + 2*k + 15*k**2 to t*k**2 + g*k + i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38311967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, -83, -42, 62 in decreasing order.\nAnswer: 62, -5, -29, -42, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*q + 11 = -o + 13 + 26, -8*q + 13*q + 25 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 + -397.9998986. What is g rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 355*a*i**3*w - 9*a*i**3 - 2*a*i**2 - 4*a*i + 7*i**3*w - 2*i**3 - 2*i**2*w - 2896*i*w wrt i.\nAnswer: 2130*a*w - 54*a + 42*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k - 593 + 3001. Solve -24 - k = 22*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 111*r**4 - 1311*r**3 + 3957*r**2 + 14742*r - 36504 = 0. What is r?\nAnswer: -3, 2, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qggqgqqqgg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 29. Let k be x(10). Let l be 0 - (-4 - 2\/k)*2. Calculate the greatest common factor of 32 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 1. Let h = -336 + 336. Which is the closest to -2? (a) h (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/17))\/w)\/(w*w**(-11))*(w**9\/w)**(2\/9) assuming w is positive.\nAnswer: w**(1784\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/6 - 31\/3. Is u greater than -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -644\/11, -33, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 16 = 2*n - 6*n, -3*a + 6*n = 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = -5*p, t - 16 = 2*p + 5*t. Let h(k) = -4*k + 47. Let j(n) = 2*n - 23. What is p*h(q) - 13*j(q)?\nAnswer: -2*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 258 or -4453?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 376159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 463551165 to the power of 1\/2, to the nearest integer?\nAnswer: 21530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:19 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 337 + 176. Solve 0 = -19*p - 0*p - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -463, 34, 1393, 4046, 8425?\n\"Answer: 72*h**3 - h**2 - 4*h - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94916574, -94916571, -94916568, -94916565, -94916562?\n\"Answer: 3*c - 94916577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-27)\/48))\/((-22)\/33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - p = 38, 6 = r - 3*p + p. Suppose 0 = -4*j + 32 - 12. Let k = r - j. Sort 0.5, 5\/6, k.\nAnswer: 0.5, 5\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from kyf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109192 + 9827401\/90. Find the common denominator of n and 113\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 3. Let r(n) = -3*n + 4. Give -7*b(j) - 6*r(j).\nAnswer: 4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 4*n + 2. Determine h(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17 - (28 - 11) - (3 - (695 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 5. Let n(y) be the second derivative of -7*y**4\/4 + 5*y**3\/6 - 21*y - 3. Let s(h) = -13*h**2 + 3*h. Let w(j) = 3*n(j) - 5*s(j). Give w(b(q)).\nAnswer: 2*q**2 + 20*q + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhss when four letters picked without replacement from {y: 1, s: 5, d: 1, h: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 79?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12.5. Let a = r + -0.5. Let v be 0 + ((-4)\/5)\/(-2). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0263 and -0.0131.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*o + 8, 0*o + 14 = -5*f - 3*o - 7 - 15 + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 692\/4152*(-3)\/(9\/60).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 - 729*k\/2 + 1107.\nAnswer: -3*(k - 3)*(k + 246)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-843)\/282 - -3). Suppose -i*v = -91*v - 669. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/11 + 555187*o**2\/11 + 77060094360*o\/11 + 539393456700\/11.\nAnswer: (o + 7)*(o + 277590)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 17, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.5 - -16. Let y = -0.5 - p. Which is the nearest to y? (a) 2\/15 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajaabaaaaaajaaaa. Give prob of sequence ba.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/10 + 368\/20 is divided by 12 + 0 - (-4 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, -3*m - 60 = -7*m + 4*d. What is the remainder when 429 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 135 - -a?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 - 0 - (0 + -2). Let t = -38 - -30. Let b = t - a. Solve -3 - 17 = b*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + (8 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15, -4*x + 3*q - 7*q - 520 = 0. What are the prime factors of (-134565)\/x - (-2)\/9?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2821, -2695, -2345, -1657, -517?\n\"Answer: 19*j**3 - 2*j**2 - j - 2837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 + 481*i**3\/6 - 7103*i**2\/6 + 9633*i\/2 - 7425\/2 = 0. Calculate i.\nAnswer: 1, 11\/2, 9, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12914313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24346*l + 1825976. What is o(75)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -414932*y**4 + 574273.\nAnswer: -1659728*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29984 - 19097. What is the greatest common factor of 76 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*u**2 + 105*u + 90*u - 274*u + 79*u.\nAnswer: 289*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 5, j: 3, o: 8, v: 1, g: 2}. Give prob of sequence ogvg.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -905, -1547, -2189, -2831?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**3 - 151*x**3 - 55*x**3 - 3*x**3.\nAnswer: -186*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o + 3*w, 3*o + 13 = -4*w - 1. Suppose -2*q = 2, -3*c - 2*q = -c. Let f = c - 1. Solve 0*s + s - o = f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642388 divided by 2\nAnswer: 321194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + (6 - 0 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/433?\nAnswer: -39\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times 0.0278?\nAnswer: 0.004726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7155011 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1765, 3528, 5293, 7060, 8829, 10600?\n\"Answer: z**2 + 1760*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17358 and 3126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, -3547, 23\/3, -1\/4 in decreasing order.\nAnswer: 23\/3, -1\/4, -4\/11, -3547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -778363 or -778354?\nAnswer: -778354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*u - 488 - 463 = -210 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8516, 17600, 26684, 35768, 44852, 53936?\n\"Answer: 9084*h - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -602 + 598 + (1 - -15 - (0 - -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9*w - 11 = -4*w, 0 = 4*l - 3*w - 1. Let f be (5\/(-1))\/(-1) + (-28 - 24\/(-1)). Put -5, f, 5, l in descending order.\nAnswer: 5, f, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 0?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6020 - 6026. Let d(v) = -30*v + 7. Let z(o) = 90*o - 20. Give r*z(u) - 17*d(u).\nAnswer: -30*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1060\/(-8) - (-11 - -8). Let n = p + 130. Solve 0 + 1\/2*r**4 - n*r**2 + 1\/2*r**5 + 0*r - 1\/2*r**3 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 9*s**2 + s - 9. Let z be -1*42 - (7 - 10). Let h = z - -48. Calculate i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 492*r - 435*r + 114. Let d = -1 - -2. Which is the closest to d? (a) r (b) 5\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(1584)*-2 - (sqrt(528)\/sqrt(48)*4)**2.\nAnswer: -172 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2772 - 2771.5. Let t = 2.6 + -3. Sort t, h, 3\/2, 0.1.\nAnswer: t, 0.1, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 13662.\nAnswer: 1\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 + 252 + 5*w)*(2*w - 2*w - w**3) + (-w**3 - w**3 - w**3)*(-w - 3*w + 6*w).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 8 - 8 + (-4 + 3 + 3)*(-c + 0*c + 3*c) + c - 4*c + 5*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g = -39*g - 9. Suppose -14 = -g*o - 2, 4*r + 4*o - 32 = 0. Put r, 12, 3 in descending order.\nAnswer: 12, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 804, 3, 45, -0.1 in increasing order.\nAnswer: -0.1, 3, 45, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 13. Let a(i) = -3*i**2 + 2*i - 1. Let r(z) = 10*z**2 - 7*z + 3. Let m(k) = y*a(k) - 2*r(k). Give m(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -982815*s + 685391.\nAnswer: -982815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00299 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21330120 - 21?\nAnswer: -21330201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -4. Suppose 5*l = i*l. Suppose -2*c - 2*c + 4*d + 272 = l, -d = -5*c + 340. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/((g\/((g**(-3)*g*g)\/g))\/g)*g**3*((g**(-1\/2)*g)\/g*g)**(1\/34))**(-24) assuming g is positive.\nAnswer: g**(-1638\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 10*b**2 - 13. What is f(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2831 + 1416 - 2*j**2 - 18*j + 1416)*(2*j - 5 + 5).\nAnswer: -4*j**3 - 36*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 2092, 6005, 13364, 25321, 43028, 67637, 100300?\nAnswer: 142169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 equal to 13420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6*d**2 - 3*d - 4 + 10 to the form o + c*d**2 + k*d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 12:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221139600 to the nearest 1000000.\nAnswer: -1221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*v - 640, -69 = -3*w + v + 400. Suppose 3*c = 2*z - w, 0 = -5*c - z - 196 - 58. Let o = -31 - c. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 85*p - 10185. Let q be n(133). Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -44. Let i be (-4)\/(-6)*51\/2. Let z = i + w. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:21 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 192\/6 + ((-2)\/1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 205837\/2732 and 74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1099916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125, -10815, -21505, -32195?\n\"Answer: -10690*y + 10565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:34 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6\/9 - (-14)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkcuccktwtutccuc. What is prob of picking 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.1, -1\/4, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7048 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2 + 6410*f - 2054405 = 0.\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -24, -40, -60, -84, -112, -144?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -5 + (sqrt(700) + 4 + 5 + (sqrt(700) - (sqrt(700) + 3))*-1)**2).\nAnswer: 960*sqrt(7) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**4 + 0*t**4 - t**4 + 977*t**4 - 314*t**4 - 311*t**4 + (-4 + 3 + 0)*(-3*t**4 + 4*t**4 - 2*t**4))*(3*t - t - 3*t).\nAnswer: -346*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 101000110001111100?\nAnswer: -101000110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/3404940 and -167\/291852.\nAnswer: 10214820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Let i(t) = t**2 + 4*t. Let o(s) = -52*s**2 - s + 3. Let k(w) = 69*w**2 - 4. Let x(y) = -3*k(y) - 4*o(y). Determine v*x(l) - 5*i(l).\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60418 is divided by 8784.\nAnswer: 7714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, b: 3, e: 1, m: 1}. Give prob of picking 1 s and 1 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from ukkqiaiuzuzkkkzkkkua?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (9 + (-11 - 11))) + (-8 - 6 - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 5*f - 15. Solve -3*s - 17 = -2*j - 6*s, 3*j = f*s - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Let z be (2 - 2)*2\/f. Let i = -8\/5 - -23\/30. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 616400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 24*r**2 - 51*r + 121. What is w(22)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43252 to 2 dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -44*u + 180. Let n be w(6). What are the prime factors of (36\/(-14))\/(12\/n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b**3 + 146*b**3 - 52*b**3 - 46*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q - 2*q)*(-49*q**3 + 108*q**3 + 42*q**3) + (-2 + 0 + 0)*(6*q**4 - 4*q**4 + 0*q**4) as h*q**2 + f*q**4 + p + y*q + r*q**3 and give f.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 19 = -g + 3*o, 2*g = -2*o - 54. Let r = g + 97. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 153*t - 2146*t - 2 as c + y*t and give y.\nAnswer: -2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248172184?\nAnswer: 2, 13, 2386271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l = 155 - 374 - 651 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2398286, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, -2398286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/7)\/d**(-2\/9))\/(d**(-21)*d*d\/d**(8\/11)) assuming d is positive.\nAnswer: d**(14716\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 4*o + 37 = 0, x - 4*o - 29 = 0. What is the remainder when 164 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41594752, 166379004, 374352756, 665516008, 1039868760, 1497411012?\n\"Answer: 41594750*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -4*h**3\/3 + 2. Let n(m) = 5*m**2 + 4*m - 4. Let g(u) = -11*u**2 - 9*u + 9. Let p(c) = -4*g(c) - 9*n(c). Calculate b(p(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 175?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 10. Let z be i(-9). Let a be 0\/(-1) - (z - -3). Let k be ((-27)\/(-6))\/(a\/4). Is -8 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6240 - 34686873530?\nAnswer: -34686879770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -294, -375, -456, -537?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226.23 - 226.229988127. What is x rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 - 3*r**5 + 4*r**4 + 0 - 5*r**5 + 0 + (-2*r**5 + 0*r**5 - r**5)*(2 - 3 - 1).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and 1032.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z*z\/(((((z\/(z*z\/(z**(-1\/6)\/z)))\/z)\/z*z)\/z)\/z)*(z*z**1)**(-38)*((z\/(z*z\/z**1))**33)**17 assuming z is positive.\nAnswer: z**(-383\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3693276 divided by -54?\nAnswer: 68394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quhlwwp. What is prob of sequence lhp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z + 40. Let n = 13 + z. Solve -h = -0*h - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3, 1\/112, -0.14, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.65 + -2.6. Let d = 2.95 + -3. Let o = d + f. Which is the nearest to o? (a) 1\/3 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 5*g - 2*g**2 - 6*g)*(g - g - g + 3*g + 3 - 3 + (-12*g - 54*g - 64*g)*(5 - 1 - 2) + 2*g + 2 - 2).\nAnswer: -256*g**3 + 256*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-22607888092570\nAnswer: -22607888092568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.67738kg in micrograms?\nAnswer: 77677380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -62?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**3 - 4*z**2 + z + 2. Is t(2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 33. Suppose 4*d = 2*d - 38. Give f(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47520)\/(-1620))\/((-72)\/(-27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 6, x: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:24 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -2887 (c) 5 (d) 6 (e) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 + 0 + 0. Let p(q) = -9063*q**2 - 17. Let n(o) = 3200*o**2 + 6. Let g(a) = -17*n(a) - 6*p(a). What is y(g(l))?\nAnswer: 2420*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**3 - 15*z**2 - z - 9. Let r(o) = -10*o**3 + 22*o**2 + 2*o + 13. Let k(c) = 7*f(c) + 5*r(c). What are the prime factors of k(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490139?\nAnswer: 13, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135958841.\nAnswer: 8623, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146976 to the power of 1\/2, to the nearest integer?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 1567110*c - 15671400.\nAnswer: 3*(c - 10)*(c + 522380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:53 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5868 = 24*q - 21*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let m(f) = 14*f**2 - 252*f - 115. Determine m(u(z)).\nAnswer: 14*z**2 - 252*z - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11814 and 184371?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 755 (base 14) to base 7\nAnswer: 4135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {o: 2, h: 6, k: 2, p: 3, c: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1139158*d**3*n**3 - 12*d**3 + 77630*d**2 - 3*n**3 + 2*n - 1 wrt d?\nAnswer: 6834948*n**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 804\/5 - 160. Let s(a) be the first derivative of 0*a**2 + 0*a + k*a**5 + 3 + 0*a**4 - 7\/3*a**3. Find the third derivative of s(d) wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110391 and 99006483?\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(1 + 5494*b + 15833*b + 2561*b) to y + f*b and give f.\nAnswer: 23888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1800 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23572757, -23572765, -23572773, -23572781, -23572789?\nAnswer: -23572797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 170.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49455318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x**(1\/12)*x)\/x)\/x*x*x)*x)\/(x\/((x\/x**9)\/x))*(x\/x**(-2)*x)**(-5\/7) assuming x is positive.\nAnswer: x**(-1003\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17803 + 2243. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 2*w - 9. Let f be a(-7). Suppose -25 - f = -3*y. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68452460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 659, 730, 803, 878, 955?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 774*o**2\/7 + 772*o\/7.\nAnswer: 2*o*(o - 386)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37848 and 50464.\nAnswer: 151392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8173 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 19*c**2 - 33*c + 2. Let h be n(-2). Let s(v) be the first derivative of -1\/4*v**3 + 0*v**2 + h*v - 22. Suppose s(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944*m + 48*m - 42778 = 53105 + 21669 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 412*(1074\/8)\/3. Suppose -3*i + 5*n + h = 0, 8*n = 5*i + 13*n - 30680. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 0 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 4*a - 2 - 2, 2*d + 26 = 5*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/12*-4*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = c - 3 + 2, 4*y + 10 = -2*c. Let v be 54\/24*(-4)\/c. Suppose v*s + 9*s = 888. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023917541 rounded to five dps?\nAnswer: 0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.9 - -143.9. Which is the smallest value? (a) -1 (b) w (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**0\/a*a))**(-9\/10)\/(a*a**(2\/17)*a**(2\/9)*a) assuming a is positive.\nAnswer: a**(-358\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + -180 + 172 + (1 - -25).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3434658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2723*z + 3 + 16 - 2728*z - 7*z**3 + 2*z**2 + 3*z**2. Let u(h) = 4*h**3 - 3*h**2 + 3*h - 10. Calculate 3*g(y) + 5*u(y).\nAnswer: -y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 20236*l\/5 + 545643\/5.\nAnswer: (l - 20209)*(l - 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 + 3*h - 7. Let u be j(6). What is the tens digit of (-2)\/u + (-1246)\/(-77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((2*sqrt(512) - sqrt(512))*-2 - 1*(sqrt(512) + sqrt(512)*-1)) + ((sqrt(512) + sqrt(512) + 1 + sqrt(512))*-3 - (-3 + sqrt(512)*-1 + sqrt(512))))**2.\nAnswer: 247808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6406.03997 + -6406. Let j = -2 + 2.04. Let l = j - i. Round l to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2339*s**3 - s**2 - 2232*s**3 + s**2.\nAnswer: 107*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -355\/4 + 3801\/44. Calculate the common denominator of (-1694)\/84 - 3*-1 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3797*y**2 - 547 + 1645 - 552 - 546 in the form l*y + i + g*y**2 and give g.\nAnswer: -3797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqooqqqo. Give prob of sequence ooq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqqn. What is prob of picking 3 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 619807.\nAnswer: 619811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 19694 = 22856 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*l - 3*l - 56, -l + 3 = 0. Calculate the remainder when 195 is divided by ((-4)\/(-3))\/(46\/(-69)) - f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckykykcckyk. Give prob of sequence yy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -205264 and -5606?\nAnswer: 199658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + p**4 - p**4 + (12*p**2 + 6*p**2 + 11*p**2)*(-3 + 3 + p**2).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 7 - 31. Let f be 39\/15 - (-3 + (-26)\/(-10)). Differentiate 16 - 3*h**f + s*h**3 + h**2 - h**2 with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - 26*k - 1. Calculate the remainder when m(8) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:08 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 - ((-3117)\/(-24) - 121).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -80. Suppose 0 = t - 4*m - 95, u = -4*t + t + 2*m + 275. Calculate the highest common factor of 143 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 + (0 - -6). Find the first derivative of -22*x + 17*x + 11*x + j wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44910, -44910, -44894, -44850, -44766, -44630, -44430, -44154?\n\"Answer: 2*h**3 - 4*h**2 - 2*h - 44906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1937100 by -3522.\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - w + 0*w + (w - w - 2*w)*(2 - 2 - 1) + 0*w + 5*w - 3*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + 3*s**2 - 3*s. Let l(t) = -11*t**3 + 7*t**2 - 7*t. Suppose 23*o - 19*o = -576. Let y be 1*-6 + o\/(-48). Determine y*l(p) + 7*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-3)*2\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and -252.\nAnswer: -110.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56018 + 64517542.\nAnswer: 64461524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*b + 4, -3*r - 2*b + 7 = 0. Suppose 0 = r*v - 8 - 17. Suppose p + 15 = v*n, -5*n = -2*n - 5*p - 9. Sort 4, -4, -3, n in descending order.\nAnswer: 4, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 n when four letters picked without replacement from {n: 4, i: 15}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42551 - 553?\nAnswer: 41776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 + 2*x. Let o(z) = 5*z**2 + 21*z + 44. Let l be o(-3). Let q(k) = -l + 26 - 141*k + 87*k. Calculate q(i(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vwvdudfw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 366989\/412 + 5\/4. Which is smaller: 891 or t?\nAnswer: 891","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 0 + 0 + (3*v**2 - 3*v**2 - 5*v**3)*(2*v**2 - 2*v**2 - v**2) + 31*v**5 + 24*v**5 - 57*v**5.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32917282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from {o: 3, h: 5, i: 1, a: 2, j: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 884139 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9 - 1. Let o(r) = r**3 - 12*r**2 + 11*r + 1. Let c be o(11). What is the smallest common multiple of 16 and (v*c)\/((-12)\/(-132))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47894627049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 30*w**3 - 75*w**2.\nAnswer: -3*w**2*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, 3\/5, 0.07 in decreasing order.\nAnswer: 3\/5, 0.07, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 10) in base 4?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*x + 220*x = 23562. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-79)\/(-158))\/((-5)\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-14 + 41 - 68).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) -2 (c) 1\/17 (d) -11\/8 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2 + 3218872*m - 647571059524 = 0.\nAnswer: 402359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -22*f**2 + 5*f + 10. Let v(h) = -9*h**2 + 2*h + 4. Let l(s) = 6*g(s) - 15*v(s). Let w(r) = -736*r**2 + 2*r. Calculate w(l(n)).\nAnswer: -6624*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 15 = -p + 13*z, 0 = -3*p + 2*z + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115831562 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, 1 j, and 1 l when four letters picked without replacement from {l: 2, j: 2, k: 2, r: 3}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - x)*(-4 + 4 + x**4) - 23*x**5 + 363*x**5 + 171*x**5.\nAnswer: 510*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318643583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 572*j + 113*j - 685*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 466594 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01751 or -3547?\nAnswer: 0.01751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 71?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 706136 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 98.\nAnswer: 5782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92426726 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 (base 5) in base 13?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*f - 18, -3*q + 5 = 4*f - 10. Sort 6, 1, q, 7.\nAnswer: q, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from ciii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7705282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 651890 and 9120?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + j = 4042, -k + 21*j - 17*j = -1369. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*z - 70*z - 2*z**2 + 19*z**3 - 64*z**3 - z**4 + 0*z**4 in the form v*z + b*z**2 + g + y*z**3 + i*z**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195905 and 1565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 107. Let s = t - -62. Let i = s - 31.999995. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.967 + 0.767. Which is the second biggest value? (a) -4 (b) -3 (c) 0.3 (d) r (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**8\/112 + d**4\/12 + 2*d**2 + 4*d. Let y(q) be the first derivative of j(q). Find the second derivative of y(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 18 = 2*c + 4*w, -12 = 3*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247*n - 45300 - 21474 - 10986 = 2937*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161664230 to the power of 1\/3, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 10*n - 8. What is the nearest to n in -0.06, -5, 1\/10?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39994581 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*f + 32*f + 27*f + 2161 + 24*f + 28*f in the form i*f + b and give b.\nAnswer: 2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 38, 108, 216, 368, 570, 828?\n\"Answer: p**3 + 10*p**2 + p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 4*c - 2*c to m*c + h and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + 20.7022.\nAnswer: 87.7022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2eda82 (base 15) in base 2?\nAnswer: 1000101011000111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -11479 + 2335. Is m a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 387, 894, 1609, 2532, 3663?\nAnswer: 5002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.181 + 2.06. Let s = h - -0.055. Round s to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434911962*r**4 - 1149204746 wrt r.\nAnswer: -1739647848*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11488065 and 5130.\nAnswer: 206785170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 110 = 2*s, -5*o + 3*s = 7*s - 320. Calculate the highest common factor of 780 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/4)*z*z**(2\/5)*z*(z**(2\/5))**(1\/24) assuming z is positive.\nAnswer: z**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 832882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*t**2 + 1\/3*t**3 + 0 - 2\/3*t.\nAnswer: t*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 84*h + 2646.\nAnswer: 2*(h + 63)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 52*t - 48*t + 10856, 3*v - t = 8130. Does 119 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15841)\/62)\/(-73)*(-6)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/3))\/(j\/(j**(-11)*j)))**(5\/16)*j\/j**(-5)*j*j*j*j**(3\/2)*j*j*(j\/(j*j\/(j**(-3\/7)\/j)*j))\/(j\/(j*j\/(j\/j**(-1\/7)))) assuming j is positive.\nAnswer: j**(505\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219512188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 47 = 3*b - 39, 4 = -5*b - s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/38 and (21\/1862)\/(108\/2982).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, 3159, 4722, 6279, 7830?\nAnswer: 9375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.97 - 0.13. Let q = -689603950.89999806 - -689603959. Let d = q + p. Round d to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - 217*y + 329. What is u(53)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(-1\/9)))\/u**43)\/((((u*u**(-1\/25))\/u)\/u)\/(u**(-38\/5)\/u)) assuming u is positive.\nAnswer: u**(-11626\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-15))\/(0 - 2\/(-20)). Which is smaller: -4\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1573 + 1579. Let p(b) = -11*b**2 - 6*b. Let z(f) = -100*f**2 - 55*f. Calculate n*z(l) - 55*p(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481854712.\nAnswer: 2, 4027, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, z: 2, n: 1, g: 2}. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/5486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.19*-18.015.\nAnswer: 93.49785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/4 - 19*x**3\/4 + 63*x**2\/4 - 65*x\/4 + 11\/2 = 0?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*h + 2*h = -84, 2*h = 2*j - 22. What is the fourth smallest value in 2\/3, j, -3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2455a (base 11) to base 4\nAnswer: 20213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 346.5839 centuries?\nAnswer: 34.65839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.085 - 5.985. Let y = -7 - v. Let a = -0.1 - y. Sort a, -4, -1\/4.\nAnswer: -4, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52775*r**2 - 28*r + 8 wrt r?\nAnswer: 105550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2356, 4711, 7066, 9421?\n\"Answer: 2355*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3881*q**3 - 1955*q**3 - 1961*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 49793*d**2 - d**3 - 49793*d**2 + 20*d**5 + (0*d**2 + 3*d**2 - d**2)*(2 - 2*d**3 - 2) - 5*d**5 + 2*d**5 + 0*d**5.\nAnswer: 13*d**5 - d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -3, 3, -1, 9815 in decreasing order.\nAnswer: 9815, 79, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 + 1.17. Let p = g - 0.5. Which is the nearest to 0.1? (a) -5 (b) p (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**17*g**9\/(g**(-4)\/g) assuming g is positive.\nAnswer: g**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 13.3. Let m = -1 + 1.2. Let x = m - r. Put -0.2, x, 5 in descending order.\nAnswer: 5, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8044.4052 milliseconds in hours?\nAnswer: 0.002234557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 3. Let b be (0 + 21\/15)*5. Let g be p(b). Let i = 18 - g. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 905102127 and -115.89.\nAnswer: 905102011.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 347*u = -349*u - 12, 44 = 5*b - 2*u for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527544.\nAnswer: 2, 79, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -165?\nAnswer: 164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 4*z - 95. Let b(k) = k**2 + 3*k + k**2 - 7 - 4*k. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 125*a**2 + 559*a - 77. Does 8 divide l(-68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 65 + 51. Let c(f) = -f**2 + 17*f - 17. Let d be c(17). Let v = d + 35. Calculate the remainder when y is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*c - 332 = 0, -2*v - 151 = -4*v - 3*c. What is the remainder when v is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*o**2 + 4*o**2 + 11 + o)*(5*o**2 + 13*o**2 + 3*o**2).\nAnswer: 42*o**4 + 21*o**3 + 63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 4. Let b = 30 - 27. Determine j(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*c + 97*c - 4*r = -3652, -c = -5*r - 3670. Is 3660 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 537 + -537.1. Suppose -3*t = 5*u + 78, 0 = -2*u - t - t - 32. Which is greater: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 16.6. Let s = x + -9. Let d = 0.246 - 3.246. What is the nearest to 2 in s, d, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 1. Let o be g(0). Is ((-2)\/4)\/(o\/(-74)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 + 1. Let f be r(0). Let b = 2377 + -35653\/15. Does f = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by 255.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a + 2*p, 4*p + 5 = a + 1. Let i be (-1)\/2*(-58 - -94). Let m be (-10)\/(-15)*(-135)\/i. Solve 0 = g - 5, a = -u - 0*u - m*g + 27 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 169*d - 294. Let i be o(6). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1460386710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5784576284.\nAnswer: 2, 14869, 97259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - f**4 + 0*f**4 + (-2 + 0 - 3*f**2 + 1)*(2*f**2 + 2*f**2 - 2*f**2).\nAnswer: -8*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(8\/5)))\/v)\/(v*v*v\/(v\/(v\/(v\/v**42)))))**(-17) assuming v is positive.\nAnswer: v**(3961\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*p - 3181*p = -1587*p - 68 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1033 + -1028. Let c(v) be the second derivative of -2\/15*v**3 + 1\/60*v**4 - u*v + 0 + 3\/10*v**2. Let c(j) = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t - 10. Suppose -t*g - 5*u = -33, 2*g - 3*u = -5 - 2. Let v be (-2 - g\/1)\/(-2). Solve 0*q - 2*q = -h + v, -3*h + 6 = -3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143110210 (base 5) in base 12?\nAnswer: 304291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8673520 + -8673443.99953. Let k = -171 + 247. Let p = u - k. What is p rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-18) - (-16)\/6. Suppose -l*j - 4*f + 89 = 0, 4*j - 3*f = 13 + 114. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 827280387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3*q**2 + 3*q + 5. Suppose 3*v - 8 = v. Give z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2 - -6) + -7 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-14))\/((-3)\/32). Suppose -q - 2 = o. Let m = 8 - q. What is the greatest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 2*g**3 + g**3 + 0 - 14*g**2 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82.97 - -0.03. Let q = d + -82.5. Which is the closest to 4? (a) 0 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 6*d + 5. Let f be s(-5). Suppose 2*j - 14 + 2 = f. Calculate the remainder when (-1)\/2 + (-23)\/(-2) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30567097 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923800 rounded to the nearest 10000?\nAnswer: 3920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/61*(-2 + 333\/189). Let w = -4\/61 + u. Which is the second smallest value? (a) 0 (b) -93 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)\/(-1)*-4. Let c(p) = -p**3 + 30*p**2 - 27*p - 56. Let t be c(29). Let w(j) = 2*j + t*j - 3*j. Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 205\/3. Which is the nearest to 2? (a) -1\/12 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3 = 0, 73 - 58 = -2*h - 5*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 57506*x**3 - 284*x**2 + 571*x - 3. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*k + 3*k - 4*s, 4*s = 3*k - 15. Is k at least 3\/376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-63)*(-66)\/(-2750)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 + (-7 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238435514 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74400\/(-2232)*3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -104*x. Let r(i) = 36563*i**2 + 2*i. Determine r(b(n)).\nAnswer: 395465408*n**2 - 208*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 0.1 (c) 12 (d) -0.282 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*l - 8*l = 18*l + 679 - 3973 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(4*4\/(-56)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185897 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/((-30)\/8))\/(258\/3655))\/(12\/(-6)).\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2530756239 to 3 decimal places.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*k**2 - 441*k**2 - 2 + 2.\nAnswer: -119*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/36 + 0\/((-3)\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-36 + 44 - -47) + 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 4) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 20*l**4 + 152*l**3 + 544*l**2 + 912*l + 576.\nAnswer: (l + 2)**2*(l + 4)*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2352\/238 - 10) + (-45)\/51. Let u(a) = a**3 + a**2 - a + 1. Let p(i) = -8*i**3 - 10*i**2 + 4*i - 10. Give b*p(q) - 10*u(q).\nAnswer: -2*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.9 smaller than 2.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u + 8*u - u + 51*u - 59 + 32*u. What are the prime factors of b(15)?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*d + 1728 + 855. What is the third biggest value in d, -4, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + (1 - 3) + (1267 - 81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 27 = -2*d + 11, 0 = 2*d - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 315. Let k = -154.91 - y. Let b = k + 22. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24885 is divided by 22603.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43829593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 44\/8)*(-7 + 1). Suppose 1 = 2*b + d, -b = 4*s - 923. What are the prime factors of s?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*g + 1269 = 1279, 0 = -11*p - 5*g - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 3, t: 1, b: 2, p: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.49 + -4.01. Let g = f - -4.5. What is the third smallest value in g, 1.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82446.7 years in months?\nAnswer: 989360.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4758673 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - c + 59, c - 36 = -3*k - 1. Let n be -10*(-3)\/k*-2. Let u = 22 + n. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*l + 48 = 0, 60 + 28 = 3*r - 5*l. Let n = 8 - 0. What is the remainder when r is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.927879835 to three dps.\nAnswer: 1.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.15. Let d = -15 + 14.55. Let w = d - f. What is the third biggest value in w, 0, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*r + 3703 = -290*r. Calculate the remainder when r is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thnn when four letters picked without replacement from {b: 3, o: 1, n: 3, u: 2, h: 1, t: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4350 (base 6) to base 7\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 31*m + 27. Give l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 + 10*j + 8. Let k be f(-6). Suppose -4*v = -164 - k. Suppose -2*u - u = 4*d - v, 4*u - 75 = 5*d. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/180 + v**5\/60 + 11*v**3\/6 + 11*v. Let q(j) be the second derivative of p(j). Find the second derivative of q(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27675?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(3 - 2)*-6. Let h = -3 - -7. Suppose h*a = -2*f, -2*f - f + 2*a = -32. What is the greatest common divisor of o and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 8 + 2 + 6. Let w(m) = -41*m + 84. Let l(p) = 40*p - 56. Let b(k) = 6*l(k) + 4*w(k). What is b(u(x))?\nAnswer: -76*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 2370 = -2272 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 12 = 3*m, -404*m + 411*m + b = 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 188*y - 77. Let u(i) = 564*i - 217. Calculate -17*k(z) + 6*u(z).\nAnswer: 188*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-7)\/3)*-30. Suppose -p = -2*p - c. Let v = p - -51. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2241*n + 15881. What is x(-7)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 137.0119ml?\nAnswer: 0.1370119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176))*-4 + -4*(sqrt(176) + 0))**2 - (3*sqrt(176)*-2 + 5 + (sqrt(176) - (1 + sqrt(176) - sqrt(176))) + sqrt(176)).\nAnswer: -240*sqrt(11) + 11276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 4*p - 12, 0 = -3*y + 5*p + 1. Solve -y*g + 4*g = 5*x + 9, 5*g + 15 = 2*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27708868 * -0.3\nAnswer: -8312660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*j = -655*j + 8700 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {j: 3, b: 2, s: 4, u: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -785953\/325 < -2418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 509*l**3 - 1 - 3761*l**2 + 1879*l**2 + 1882*l**2 + l in the form s*l**2 + q*l + m*l**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/240 + k**5\/40 + k**4\/24 + 4*k**2. Factor h(c).\nAnswer: c*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3.42003, 0.08 in decreasing order.\nAnswer: 3.42003, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6052*r**2 - 3248*r**2 + 2825*r**2 - 3150*r**2 - 1796*r**2 to the form t*r + x*r**2 + f and give x.\nAnswer: -11421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 419.6203047 to 2 decimal places.\nAnswer: 419.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n = -3*r + 47*n - 21, -4*r = 8*n + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2878 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.365 - 0.045. Let z = -1.736 + o. What is z rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/15, -2987, 67\/9, 3 in decreasing order.\nAnswer: 67\/9, 3, 2\/15, -4, -2987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/504 - 2*a**7\/315 + a**5\/45 - a**4\/36 - 16*a**2 - 16. Factor f(q).\nAnswer: 2*q*(q - 1)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739822639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13077, -18301, -23525?\nAnswer: -28749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i - 315. Calculate the remainder when j(30) is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a3 - -a330?\nAnswer: 9d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.873106l in millilitres?\nAnswer: 873.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s + 179*s - 66*s - 56*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 15. Calculate the remainder when 148 is divided by w(20).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21443 + 2.16279?\nAnswer: -21440.83721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 922966 (base 12) in base 11?\nAnswer: 1321391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let n(l) = 2*l - l + l - 5. Let k be n(4). Solve d - 2*r + q = 0, -d + 4*r = k*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n - 2*n + 5*n + ((-2 + 3 - 5)*(2 + 2 - 5) + 4 - 5 - 1)*(3*n + 2 - 2) in the form t*n + i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11513 or 6233?\nAnswer: 6233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/5)*t**(-1\/3)*t*(t*t**(-2\/21))\/t*(t\/(t*t**(2\/3)))\/t*t*(t**(-2\/7)*t)\/(t**(4\/5)*t)*(t\/t**(2\/9)*t)**(-3\/38) assuming t is positive.\nAnswer: t**(-5429\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = 2*t, t - 40 = -2*t + 5*l. Let o be (16\/40)\/(1\/(10\/(-8))). Which is the second biggest value? (a) t (b) -4 (c) -1\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-267)\/(-9) + 1\/3. Is r - (3 + -2 - 3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - m + 14 = 0. Suppose -m*l - 255 = -3*h + 2*l, 3*l = -9. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/91*-1)\/(12\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + o + 4. Let f be j(-7). Let b be (4 - 1) + f + 3. Suppose a + a - b = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i**34*(i**39\/i)\/i*i**(-5\/4))**(-46) assuming i is positive.\nAnswer: i**(-1219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 50864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -736273 (base 8) in base 6?\nAnswer: -5125523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100101011011001100 + 0?\nAnswer: -111100101011011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 347550916 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*m - 229*m = 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12. Suppose t*j - j + 32 = 0. Let s = j - 16. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 8) to base 9.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 153886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 4 (b) -4\/7 (c) 2\/15 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2798639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, c: 3}. Give prob of sequence xc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.266187 to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpppppfppppppppff. What is prob of picking 3 p and 1 f?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237130 is divided by 2470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 + 8 + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 + 0*a + 3 - 4*a + 2 + a. Let u be v(2). Suppose -20 = -5*m, 5*m - m = d - u. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 62*k + 1125 = 78*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*t**4 + 11*t**2 - 387.\nAnswer: -416*t**3 + 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 2420*d**2 - 65056*d + 1013760.\nAnswer: -4*(d - 11)*(d + 40)*(d + 576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.25 (b) -3 (c) 23 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 - 11*u - 3. Let i be g(-5). Let m = i - -7. Calculate the highest common factor of m and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 11:30 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27283.469726 + 67?\nAnswer: 27350.469726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a)**(2\/41)\/(a**(3\/5)*a\/(a\/(a**(-4\/3)*a*a)))*(a*a**6)\/a**(-8)*((a*a**(-1\/6))\/a)\/a**(7\/5) assuming a is positive.\nAnswer: a**(3029\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -164719896 divided by 26246\nAnswer: -6276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6113913, -6113886, -6113859, -6113832, -6113805?\nAnswer: -6113778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/30 - i**2. Let r(w) = -2*w**2 + 147 + 169 + 128 - 404. Calculate r(t(l)).\nAnswer: -8*l**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10143 (base 14) in base 11?\nAnswer: 27066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134a (base 14) to base 8.\nAnswer: 6506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + m**2 - m + 2. Let v be b(2). Suppose 2*x + 3*x - v = 5*a, -3*a - 5*x = -20. Let f = a + -1. Is -3\/4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 2*n - 6. What is u(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -19, 0.3, 18, 0.34?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46510 + -16a?\nAnswer: -4667a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3\/16 (b) -3 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209994, -419960, -629890, -839778, -1049618, -1259404, -1469130, -1678790?\nAnswer: -1888378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 2*f - 1091, -f - 5*n = -556. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 + -143. Suppose -2*l + n + 2*n = k, 34 = 2*l + 4*n. What is the highest common factor of 28 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - g - 5 = -2*g, 0 = -4*a + 3*g - 15. Let i(z) be the third derivative of a*z**3 + 3*z**2 + 0 - 1\/90*z**5 + 1\/18*z**4 + 0*z. Solve i(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-87)\/65)\/(-3) - (-3)\/(-5). Let m = 8280427\/11930317 - 1\/490287. Let h = -2\/73 + m. Put h, -2, r in descending order.\nAnswer: h, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from stlammtql?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 2*x - 2. Let h(o) = 27*o**2 - 57*o + 57. Let w(l) = 171*b(l) + 6*h(l). Let j(a) = 2*a. Let k(f) = f. Let y(v) = -j(v) + k(v). Give y(w(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 393*y - 212*y - 184*y.\nAnswer: 5*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6 + (3 - (-141)\/6). Suppose -28*r = -z*r - 4. Suppose -v + 9 = 2*v, -r*v = -2*m + 54. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4637 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163488056.\nAnswer: 2, 59, 346373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2507 - -7501?\nAnswer: 9a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 819*d**2. Let n(m) = -m**2. Calculate n(v(o)).\nAnswer: -670761*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 61.0314. Let r = 6.6 - 6.568. Let s = x - r. What is s rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0135 * -8\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15012*v. Let z(m) = 2121*m**2. Calculate z(y(r)).\nAnswer: 477988865424*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, -21 in descending order.\nAnswer: 1\/3, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5544\/58968*12\/22?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 36. Let m = -15 + y. What is the third derivative of -2*c**4 + 12*c**2 - 3*c**4 - 22*c**m wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccggocoogdgcoo. What is prob of picking 1 o and 2 g?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 41*m**2. Let x(k) = 18*k**2. Give x(t(z)).\nAnswer: 30258*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-28))\/(7\/196*8). Factor s - g + 1\/2*s**2.\nAnswer: (s - 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 13) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -18*s + 100. Suppose -3*i + 0 = -6. Suppose 0 = -4*y - i*o + 360, -y + 90 = -0*o + 3*o. What is the highest common divisor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/25 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 2 - 2 + ((-2 + 4 + 0)*(0*a + a - 3*a) - a - a + 3*a + 4 - 4 - a - 5*a - 26 + 26)*(0*a + 0*a - 2*a).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 13.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-24)*(-80)\/(-100))\/((-4)\/(-110)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2*u - 495*u**3.\nAnswer: -495*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 12*r + 18. Let y be j(-13). Suppose 0*x + 4*x = 5*u - 5, -5*u = -y*x. Is -3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8733109.23 + 1003\nAnswer: -8732106.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1417373 and 5751?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -8 + 17 - (-3 + 8 + -13)) + 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 197*f + 3. Let g(m) = 262*m + 4. Let j(l) = -3*g(l) + 4*z(l). Let n(s) = 870*s. Calculate j(n(v)).\nAnswer: 1740*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 128195816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u + 9. Suppose -4*p - g - 3 = 0, 3*p = -2*p - 5*g - 15. Let l = p - 0. Let b be t(l). Solve 0 = -n - 2*n + b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5)\/c**(5\/3))\/(c**(2\/3))**(-36) assuming c is positive.\nAnswer: c**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123457548 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 7*q - 5. Let n(o) = -7*o + 10*o - q*o. Let t(i) = i**2 + 2*i - 2. Let b(f) = 4*f**2 + 9*f - 9. Let k(m) = 4*b(m) - 18*t(m). Calculate k(n(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, -0.4, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308 = -b - 5*r + 3355, 10235 = 5*b - 5*r. Calculate the highest common factor of 979 and b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 6 - (-660)\/99. Which is the second biggest value? (a) u (b) 1\/4 (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-93280)\/(-12720)*(-177)\/(-44)\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -10, -2538?\nAnswer: -2538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*u**4*x**2 + 2*d**3*u**2*x - d**3*x - 7*d**2*u**2 - 3*d**2*x**2 - 106*u**4*x**2 wrt u?\nAnswer: -72*d**3*u*x**2 - 2544*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1275\/975 + 8\/(-26). Solve -13*t + 12*t - r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 712 = -3*h. List the prime factors of h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 11*z = 44. Suppose 4 = -2*m + 12. Suppose -2*j - m*c + 38 = 0, -c = z*c - 20. What is the greatest common divisor of 77 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppf when four letters picked without replacement from {p: 6, x: 4, f: 9}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -1\/9415, 0.8, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 686520, 686522, 686524, 686526?\n\"Answer: 2*u + 686518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3465 and -58\/207585.\nAnswer: 2283435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17439, 17435, 17429, 17421, 17411, 17399?\n\"Answer: -f**2 - f + 17441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 23*q - 12. Let d be j(3). Let n be (d\/8)\/(1 + (-3)\/12). Do 11 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 7 + 3*o**2 - 2 - 5*o - o. Let h be w(5). Suppose h = 2*b - 7*b + 5. Solve 5*z + 4 = -b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5526978\/11 at most as big as -502452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -22. Suppose 95*b = -5*k + 85*b - 75, -3*b - 20 = 2*k. Solve -g = -k*g + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w - 4 - 4 = 0, c = -w. Suppose -8*v - 10*v = -6066. Suppose 3*y - v = c*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, -4, -3, 5, 1 in ascending order.\nAnswer: -4, -3, 0, 1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -11828\/43 and -275 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13306107 a multiple of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/12)\/(4\/(-324)). Suppose -2*f = 3*i - q, -7*i = 4*f - 8*i - 202. Calculate the highest common divisor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3667? (a) 2\/51 (b) 4 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 17. Let p(b) = 5*b**2 + 25*b + 119. Give -14*j(k) - 2*p(k).\nAnswer: 4*k**2 - 50*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, 119, 0 in decreasing order.\nAnswer: 119, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 - 2207 = -14*i. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4 and -25\/2948.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 7 = i. Suppose -126 = -136*r + 130*r. Let a = r + i. Which is greater: a or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-1\/4)*s)\/s))**(-45) assuming s is positive.\nAnswer: s**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -162, -586, -1274, -2226?\n\"Answer: -132*v**2 - 28*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0119 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, 0 in descending order.\nAnswer: 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -29. Suppose 5*q + 2*m - 5*m + 27 = 0, 2*m = 4*q + 20. Which is the closest to y? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*z + 1067*z = -36736 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124036\/23 - 5387. Let n = -1323\/92 - v. Find the common denominator of 29\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 * 393.33\nAnswer: 2517.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f - 19\/60*f**5 + 7\/24*f**4 + 0 + 12*f**2 + 0*f**3. Find the second derivative of o(k) wrt k.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 2*f)*(2*f**4 + 0*f**2 + 0*f**2) - 6*f**5 + 4*f**5 + 7*f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 + 2*s - 3. Let f(u) = -25*u**3 + 17*u - 25. Let r be 4*1 + 4\/2. Let w(o) = r*f(o) - 51*p(o). What is the derivative of w(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-333)\/(-37)*(-10)\/90.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 636*s + 563*s - 878*s + 86*s**2 - 263*s**2 - 2 wrt s.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*f = 28, 0 = -3*a - 5*f + 39 + 4. Let z(l) = -2*l + 14. Let g be z(a). Solve c - 2 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 27*p + 180 = 0. Suppose 34*t - p*t + 568 = 0. What are the prime factors of t?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2224422 - 12?\nAnswer: -2224434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63968629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 10. Let p(v) = -5*v + 40. Let a(u) = 2*p(u) - 9*r(u). Let k(q) = -q + q - 76*q**2 - 54*q**2 - 43*q**2 + 174*q**2. What is k(a(g))?\nAnswer: g**2 + 20*g + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.4 + -0.4. Let z = 7 - x. Let p = -0.1 + 1.1. Sort p, z, -3 in increasing order.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-401)\/(-4) - (-4)\/(-16). Suppose 20 = -4*a + i. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 35. Let v be 6*((-15)\/6 - 0). Let c be o(v). Solve -3*m - c = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -586 - -406. Let m = r + 181. Which is the closest to -0.2? (a) 2 (b) -4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 - 151*p + 21. What is w(6)?\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i + 2. Let z be h(-5). Factor -1\/2*a**4 + 0 - z*a**2 + 0*a - 2*a**3.\nAnswer: -a**2*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - c3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43408 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by 26.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 967.5152 centuries to millennia.\nAnswer: 96.75152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((-219)\/45 - -5) + 732\/(-90) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1) + (-112)\/(-448).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2671220 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254045534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 0.036, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124629661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7403 - 3264. Does 267 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 15*y**2 - 28*y + 13. Let z be g(-25). Let w = z - 41899\/6. Find the common denominator of w and (2\/30)\/((-4)\/(-55)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 14\/3, -1226 in decreasing order.\nAnswer: 14\/3, -1\/2, -1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2171 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 29*a + 42. Calculate h(-12).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from xiqwxqqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 3561952.\nAnswer: 39181472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*c - 17 = 0, -c = 2*s + s + 2. Suppose -3 = -2*b + s. Differentiate -k**2 + 1 - k**b + 0 with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-15) - 10\/75*-6. Suppose r + 2 = 2*r - 3*o, -2*r + 4 = -f*o. Solve -r*w = 1 + 5, -2*v + 5 = -5*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -25. Suppose -c*v = -v - 75. Solve -3*r = x + r + v, 0 = -5*x + 5*r + 50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 3*y - y)*(-17 + 17 - 2*y + (3 - 4 + 0)*(1 - 1 - y) + (-3 + 1 + 4)*(-y - 4*y + 4*y)) to the form c*y**2 + f + l*y and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201.357 rounded to the nearest integer?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -43698 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j = -617323 + 175705. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*k - 2*m, -2*m + 3*m - 17 = -k. Suppose -84*z + 2623 = -41*z. Calculate the remainder when z is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5*k**3 + j**3*k**3 - 34*j**3*k - 2*j**2 + 95*j*k**3 wrt j.\nAnswer: 60*j**2*k**3 + 6*k**3 - 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 not equal to -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1586801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 7*p + 8. Calculate g(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*1\/2 + (2 - -42166 - -22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1177 (b) -11\/5 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3916414808?\nAnswer: 2, 59, 421, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9945.99984 + -9946. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/7? (a) 0.09 (b) 3 (c) 0.05 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 2*d**2 - 2*d**2 + (0*d + 0*d + 3*d)*(-3*d + 9 - 31 + 13) + d**2 - d**2 - d**2.\nAnswer: -11*d**2 - 27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102831.\nAnswer: 3, 151, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from vshkvkvvhsvvs.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b1ec6 - -2?\nAnswer: 7b1ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -46. Let c = 19 + -12. Let n be 6\/21 + r\/c. Solve n*d + 0*d = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -8. Suppose -t*i - 2 = -4, 3*n - 475 = 5*i. Calculate the greatest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9837656070?\nAnswer: 2, 3, 5, 11, 3061, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j - 163*j + 3672 = -78*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - n**2 + 6*n**2 + n**2. Let p(q) be the third derivative of -q**4\/12 - 2*q**2. What is p(r(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 2*t**2 - 22*t + 10. Let z be y(-6). Calculate the remainder when z\/2 + 3 + 680\/4 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 15 = 2*u. Suppose -u*j = -4*j + 15. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 68\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4270 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*o**4 - 2*o**4 + 0*o**4 + (4*o - 2*o + 0*o)*(2*o**3 - 2*o**3 - 2*o**3) - 39*o**4 + 26*o**2 - 26*o**2.\nAnswer: -55*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let k = -244 - -241. Which is the nearest to h? (a) -1\/2 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -15, -0.042, -2, 3?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 2865?\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132975604 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -715*u**3 + 9*u**2 - 12*u + 7. Let c(r) = 357*r**3 - 4*r**2 + 5*r - 3. Let n(g) = 5*c(g) + 2*v(g). What is the tens digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236174958 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/59)\/(26\/3042)*(3\/(-9))\/(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1 - 8*q + 2 - q**2 - 3*q. Let n be a(-11). Suppose -n*o - o + 100 = 0. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 16) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4050*a + 2516*a + 15279*a - 2*a**2 to the form l*a + x*a**2 + j and give l.\nAnswer: 13745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 176, 374, 626, 920, 1244?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:32 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/929205 and 74\/135.\nAnswer: 929205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 = 25*l - 2735. What is the greatest common factor of l and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -6*(-6)\/9. Suppose i*v - 12*v = -48. Suppose 20 = -5*d, -3*d - v = 2*t + d. Solve 2*h = -5*f + 5*h - 23, -f - 6 = -t*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-4)\/(-6). Let z = x + 4. Suppose 2*r - 9 = -a, 4 = -5*a - 1. Do r and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(129*n**2 + 1993 - 1993)*(0*n + 5*n + 0*n).\nAnswer: 1935*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3 = -5*c, 9*c + 2*w = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629*k + 1719*k = 360 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 - 5*w + 5*w - 3*w**3 + 11*w**3 - 2*w**3 + (5*w**2 - w**2 + 6*w - 5*w**2)*(w + 3*w - 5*w) as k + q*w + c*w**2 + a*w**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. What is the greatest common factor of y and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2224995 - -6638.58.\nAnswer: 2231633.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/34721816 and 103\/2088.\nAnswer: 312496344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1166418504 by -128616.\nAnswer: 9069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k + 63. Let o be p(5). Let m(x) = -x**2 - 6*x + 3. Let h be m(o). Is h at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 24*l = 16. Let z(s) = -s**l + 2059*s - 2059*s. Let b(t) = 5*t - 1. Determine z(b(f)).\nAnswer: -25*f**2 + 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(8*3\/12). What is the greatest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -9*p**5\/5 + 5*p**2 - 18*p. Differentiate t(r) wrt r.\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 2. Let c be -6*4\/(-6) - (7 + 122). Let t = -123 - c. Let q(y) = -y + 2. What is t*j(g) - 3*q(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(1\/63)*(l\/(l**(3\/4)\/l))\/((l**(-1)\/l)\/l*l) assuming l is positive.\nAnswer: l**(2461\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 86*c + 97*c - 184*c as q + o*c and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 30*y + 1. What is the units digit of d(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -1\/3 (c) -3\/5 (d) 482\/3 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 7. Suppose 11 + 4 = 5*g. Suppose 14 = g*h - h. Let q(y) = -3*y + 5. What is h*q(k) + 5*m(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300.654 litres in millilitres?\nAnswer: 7300654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453467 is divided by 151096?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19 - 5.21. Let y = -5 - z. Let w(h) = h**2 + 4*h + 1. Let l be w(-4). Which is the closest to l? (a) y (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11629 * -0.178\nAnswer: 2069.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -468.3 + 468. Let l be (-26)\/(-22) - (3 + -1). Let r = -25\/44 - l. Which is the smallest value? (a) r (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 2. Let a(w) = -11*w - 374. What is -a(m) - 6*s(m)?\nAnswer: -m + 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1094*u**3 - 1102 wrt u?\nAnswer: 3282*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/4 - -109\/4. Find the common denominator of ((-128)\/(-9))\/8*(-42)\/368*2 and p.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10204513*7\nAnswer: 71431591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155895 times 3?\nAnswer: 467685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 18*i. Solve 3*u - 4*b - 2 = i, -b + 6*b - 13 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 0*d**4 + 0*d**4 + (4 - 4 - 2*d**4)*(-429758 + 429758 + 1416*d).\nAnswer: -2831*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 4*sqrt(72))\/sqrt(12) + -6*sqrt(6)*2)\/((sqrt(3) - (sqrt(3) + (sqrt(15)\/sqrt(5) - sqrt(3))))*1 + sqrt(30)\/sqrt(90)).\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.19, -0.24, 1.1?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 7*w**2 + 11*w - 23. Let h be x(5). Suppose 0 = -z + 158 - h. Calculate the remainder when 407 is divided by z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*s - 2 + 32, -3*p - 9 = -2*s. What is the second smallest value in -4, s, 3, 0.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 36*r - 4. Let q(u) = 18*u - 2. Determine -6*d(g) + 11*q(g).\nAnswer: -18*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409588 is divided by 127.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -40. Let h = f - 13. Is -10*((-165)\/(-6))\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -51*p**3 - 138*p**2 + 6*p - 3. Let z(q) = q**4 + q**3 - 2*q + 1. Let f(c) = k(c) + 3*z(c). Find the third derivative of f(h) wrt h.\nAnswer: 72*h - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629767429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6) + 22\/(-66). Suppose -a = 2*v + 3, -5*v - 5*a = -v + 21. Suppose h = g - 5, b*h - v - 2 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 9. Let u be k(-4). Let i = u - -20. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 8 - 3*v**3 + 1 - 9 to n*v**3 + d*v + f*v**2 + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 1. Let i be (-1 + (3 - -1))\/((-105)\/(-70)). Suppose i*m = -0 + 4. Let s be b(m). Let v(x) = -2*x**2 + 6*x + 4. Give v(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*x**4 + 37*x - 48182.\nAnswer: 112*x**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3390.628 nanograms?\nAnswer: 0.000003390628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3324 and 18792?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u - 2. Suppose -2*d - 3*d = -2*r - 19, 25 = 5*r + 2*d. Suppose -r*g = -5*g + 10. Put -3, u, g in ascending order.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123103013 + 0?\nAnswer: 123103013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090.601ug in nanograms?\nAnswer: 3090601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560195.\nAnswer: 5, 181, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321826779*p**3 + 269912614 wrt p?\nAnswer: -965480337*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 2. Calculate the least common multiple of 11 and h(8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/3 - 5*o**2 - 5*o + 8750. What is h(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0237 + -2.5477. Let t = -2.7 - f. Let y = 1.154 - t. What is y rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64081457 a multiple of 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 5*d + 7. Calculate o(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + (-38)\/9. Let r be 3\/(h\/(-4))*-7. Let t(v) = 3*v**2. Let z(g) = -30*g**2. Let n(y) = r*t(y) - 2*z(y). Let c(q) = q. Determine n(c(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/35 and -81\/1442.\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 9) in base 6?\nAnswer: -1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 3, a: 5, n: 1}. Give prob of sequence aarn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1304 + 0.2304. Let o = 5 - 4.9. What is the closest to c in -0.5, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4 = -q, -18*x + 9*x - 5*q = -56 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -345?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(240)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 3*s**5\/160 + 5*s**4\/32 + 7*s**3\/16 + 9*s**2\/16 + s. Let m(r) = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119*-6.74\nAnswer: 802.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/5)\/(b*b\/b**10)*(b**(2\/3))**(-3\/38) assuming b is positive.\nAnswer: b**(679\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14419 + -14303. Calculate the greatest common factor of 3 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c = 81*c - 360. Let v be 3080\/c - (-5)\/3. Is -24 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18 and (153\/(-3))\/(3 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + -3?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.1 - 31. Let f = -0.1 + n. Let z = 135\/2 + -66. Which is the nearest to f? (a) z (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0*p**2 + 1 + 0*p**2 - 6*p - p**2. Let a be u(-5). Let z = 7 + -3. What is the greatest common divisor of a and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 divided by 7?\nAnswer: 1216\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 2 + 6) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/8)\/m)\/m**(-17))**(26\/7))**(-33) assuming m is positive.\nAnswer: m**(-54483\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from ucjjcumq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 2. Let a be f(0). Let k = a - -2. Suppose -l = -k*l - 20. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 5\/2 - -3. Let r = -20 - -8. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2 - 18*a*l + 2*a*q - a - 2*l*q + 9*q - 1 wrt a.\nAnswer: 4*a - 18*l + 2*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q**3 + 9*q**3 + q**2 - 29*q**4 + 0 + 30*q**4 + 0 - 2 in the form m*q**3 + i*q**2 + b*q**4 + p*q + g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 13 = 5*c, -40 = -5*c - 0*c - 5*k. Let l be 48\/18 - ((-20)\/(-6))\/c. Solve -5*d - 3 = l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2484, -0.1, 3, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 8*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3270 = -106*r + 100*r. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 13*p + 65. Let w be s(10). Are -165 and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/414 and -211\/6739920.\nAnswer: 6739920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-7938914.\nAnswer: 793891.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n**3 + 134*n**2 - 18*n + 17. Calculate h(-10).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 955 and 279652\/293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 12*h**2 + h - 12. Let y be u(12). Suppose y*x + 29 = x. Let p = -13 + x. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1645)\/6272 + 4\/14. Let p = 215\/3712 - f. Is p at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99730597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 17 + 6*n - 2 + 19. Let w(g) = -15*g. Calculate w(m(l)).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-3*3 + sqrt(95))\/(sqrt(40)\/(sqrt(24)\/sqrt(3))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 426590 and 1721070?\nAnswer: 49911030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmbmjj. What is prob of picking 2 b and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 58*o - 134*o + 61*o + 56*o. Let h(b) = 3*b. Determine p(h(m)).\nAnswer: 123*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (6 - (-3 + 8))) + (0 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 4)*(52235 - 108*s - 52235) as i*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.011748 rounded to 2 dps?\nAnswer: -100.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 - 5*f - 6. Let b be -6 + 0\/((-3)\/(-1)). Let w be o(b). Find the common denominator of 95\/6 and (w\/(-3))\/(11\/2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*f - 4*i - 9, -f - 9 = 3*i. Let r be (1 - 1) + (11000 - f). Round r to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h - h)*(-2*h**3 - 8*h + 8*h + (4*h**2 - 2*h**2 + 0*h**2)*(h + 2*h - h)) in the form y*h**4 + p*h**3 + j*h**2 + g*h + s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 27. Let a(w) = 4*w - 10. What is the least common multiple of a(3) and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-24))\/((-59)\/(-944)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/27096098 and -51\/26968?\nAnswer: 108384392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207 - o**4 - 2*o - o**4 + 209 to the form b + c*o**2 + r*o + v*o**3 + s*o**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.58467mm to centimeters.\nAnswer: 5.458467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 522*z + 417*z - 264*z + (2 - 1 + 1)*(-4*z - 2*z**3 + 4*z).\nAnswer: -3*z**3 + 675*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(1377))**2 + -5)*-6.\nAnswer: -33036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -875*l + 6274. What is v(8)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13498 - -93103\/7. Let u = 199 + q. Let p = u - 44\/21. What is the nearest to -1\/4 in -0.3, -3\/4, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49399, -49329, -49251, -49159, -49047, -48909, -48739?\n\"Answer: f**3 - 2*f**2 + 69*f - 49467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 69*y - 66*y, 0 = 2*q - y - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 6}. What is prob of sequence bb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/7 - 615*v**2\/7 - 4434*v\/7 - 3816\/7 = 0 for v.\nAnswer: -6, -1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*g - 4*p, 28 = -5*g + 5*p + 18 - 35 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:16 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1844*c + 53499. Determine u(-29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*m + 49*m - 42*m**2 - m**2 - 2 + 2 + (-2*m**2 - m**2 + 5*m**2)*(7 - 2 - 3) - 2*m**2 + 2*m - 2*m.\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 457, 667, 861?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r - 12 = 0. Let y be 19\/4 - 3\/r. Suppose -40 - 10 = -y*a. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 427091843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((8\/(-56))\/((-1)\/3))\/((-72)\/(-336)). Let m be 1\/(3\/(12\/14)). Factor 0 + 8\/7*c + m*c**y.\nAnswer: 2*c*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 803 + 1602. Suppose l = -0*l + 5*c + 106, 0 = -4*l + c + p. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - ((57 - 22) + -34 + -26).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 - -2 - (14 + -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 45*u = -101845. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/20 - 3425\/(-100)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -6, -2, 3, 11 in descending order.\nAnswer: 11, 3, 0, -2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/54 and -4\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -1 (b) 0.3 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 21731) + 1 + 0. Suppose -4*c + 5*a + 251636 = 14554, -4*a = -c + 59276. Let k = c - f. Round k to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - t - 2*t + t**3 - 13*t**2 in the form p + o*t**2 + c*t + n*t**3 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6)\/((-1)\/(-2))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**3 - 2*z**2 - 2*z - 1. Let f be y(-1). Suppose -70 = 4*i - 2*k, 0 = f*i - i + 4*k + 100. List the prime factors of (-1030)\/i + (-1)\/2.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 12*j**2 + 18 + 11*j**2 + 40*j)*(-1 - 5*j + 1).\nAnswer: 5*j**3 - 200*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/84)\/((748\/(-154))\/17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 37 = 5*l, 3*a - 3 = l - 6*a + 6*a for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 453, 0, 14, 2, 12 in increasing order.\nAnswer: 0, 1, 2, 12, 14, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**2 - 2 - 54*k**2 - 38*k**3.\nAnswer: -38*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31823 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319119886?\nAnswer: 2, 17, 29, 323651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d + 70*d + 679476 = 0. Is d a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 12*u - 1\/3*u**3 + 2 - u**2. Let x be z(0). Solve -j = 3*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110669 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-9)*2\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = -4, 5*p = -4*g + 723. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 0*o)*(0 - 2*o + 0 + (-5 + 6 - 2)*(o + 3 - 3) - 2*o + 5 - 5 + 0*o - o - o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:56 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17803113.3 hours in weeks?\nAnswer: 105970.9125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i - 215. Let w = i - 41. Is 55\/(-20)*w*-2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 1. Let h be y(1). Suppose -h*o + 3*n = -32, 5*o + 0*o - 13 = -3*n. Let t = -123 + 178. Calculate the greatest common divisor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*2\/(-8) - (1 + 1). Let r(s) = -3*s**2 + 2*s**2 - 2*s**2. What is r(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -23*i + 17. Let v(o) = 21*o - 16. Calculate 2*r(g) + 3*v(g).\nAnswer: 17*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.141 - -0.041. Which is the closest to v? (a) 0.4 (b) 1\/2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 1 (c) 2\/3 (d) 0.025\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70641 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -350008*h + 1050044. Determine u(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -l - 47, -2*l + 4*h = -l + 49. Let b = 71 + l. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-3) - -2)*0. Suppose 0 = -l - 0*g - 5*g - 1, b = 3*g. Let w be (-42)\/(-9) - (-1)\/3. What is the nearest to 2\/3 in w, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 14*g**2 + 17*g - 6. Let v be z(-21). Let a = -775 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960102 and 1492.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*k = -41, k = f - 3*k - 23. Let s(q) = 2*q - f*q - 2*q + 8*q. Let v(o) = 14*o - 5*o - 12*o. What is v(s(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/18 and -61\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10025 + 10030. Which is the second biggest value? (a) -11 (b) -27 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -227*y**2 + 0*y**6 + 0*y - 1\/2*y**3 - 7\/12*y**4 - 1\/30*y**5 + 0 + 41\/105*y**7. What is the second derivative of m(l) wrt l?\nAnswer: 984*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/63 + 7*z**6\/15 + 49*z**5\/10 + 343*z**4\/18 - 286*z + 1. Factor t(a).\nAnswer: 2*a**2*(a + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 126 = 2*i. Suppose -2*v = -v - i. Suppose -4*c = -14 - v. Solve 2*l - c = 3*j, l - 11 = 4*j + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/9 - 1034*m**3\/9 - 33844*m**2\/9 + 1221440*m\/9 - 766400\/3 = 0.\nAnswer: -479, -60, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -10611\/2, 0, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.5 - 26. Let n = 212\/5 + -42. Let m = -0.01 - -0.51. Which is the closest to h? (a) m (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, v: 3}. Give prob of sequence vwv.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 12. What is the remainder when 25 is divided by b(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 h, and 1 s when four letters picked without replacement from {t: 9, l: 1, h: 2, s: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2495\/(-15))\/((-3)\/9). Suppose -w + 4490 = 13*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23181.\nAnswer: 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (1 - (49 + -3 + -11 + -1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 10*i - 9. Let w be g(-11). Suppose 5*m - 1 = w*q, -m = m + 5*q - 12. Sort -4, 5, m in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 - -1.18. Let r = 0.1 + -1.6. Let y = r + w. What is the second biggest value in 1\/4, 1, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/5)\/o*o**(-3\/5)*o)\/(o**4*(o**(1\/2)\/o)\/o)*o\/o**6*o**(1\/6)*o**1*o**(2\/21) assuming o is positive.\nAnswer: o**(-634\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffnrrenfffxnrfenr. Give prob of picking 1 e, 2 r, and 1 n.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25141122 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-2)\/(152\/228)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058958 + -2?\nAnswer: -2.058958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (sqrt(833) + -1 + -2 - (sqrt(833) - (sqrt(833) - (sqrt(833) + sqrt(833)*1) - sqrt(833))*-2)))**2 + 5.\nAnswer: -392*sqrt(17) + 13381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let b(t) be the first derivative of -5*t**4\/8 - 2*t**2 - 6. Let g(a) be the second derivative of b(a). What is g(p(j))?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244215 is divided by 606?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133014134 (base 5) to base 15.\nAnswer: -d4649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -24. Let f = n + -15.03. Sort -2, 0, f in descending order.\nAnswer: 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 917 + -1642. Let f = -720 - w. Sort f, 1\/7, -0.5, -18.\nAnswer: -18, -0.5, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239436319399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 2*h**3 - 29*h**4 - 9*h**2 + 3 - 25*h**4 - 9*h**4 + 65*h**4 to u*h**3 + n*h + v + x*h**4 + j*h**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 42273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 484 = 6*w. Suppose w*s - 112*s - 891 = 0. Calculate the highest common divisor of 72 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q - 9. Let s be y(6). Let x = 4 - s. Suppose a - 3 = x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16. Let i(d) = 2. Let l(p) = 30*i(p) - 4*u(p). Let y(g) = g + 9. Calculate 5*l(a) + 2*y(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**3 - 8*v + 8. Let a(t) = -t**3 + 5*t**2 + 11*t - 11. Let k(j) = 3*j**2 + 6*j - 6. Let r(c) = -3*a(c) + 5*k(c). Calculate 3*q(l) - 8*r(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.78747 millennia in months?\nAnswer: 441449.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 2*f - 7. Give n(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 3. Let y = -9.9 + h. Let o = -1 - y. Sort -2, -0.2, 5, o in descending order.\nAnswer: 5, o, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*t**3 + 7*t + 24 with respect to t.\nAnswer: 69*t**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 281, 271, 257, 239, 217?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -126. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181 plus 159986?\nAnswer: 151805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 21*o**2 - 10*o + 13. Let x be l(-11). Let h(r) = r**3 - r**2 + 1. What is h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/76 - -8\/19. Let t be 2 + (-20)\/(-11)*-1. Which is the biggest value? (a) z (b) t (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5338 and 6698?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 + 9*f. Let r be m(-9). Suppose -2*k + r*k + 3*b = -365, 0 = -3*k - 5*b + 500. Suppose w + k = 6*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 7*h**2 - 13*h - 41. Let x be s(9). Suppose 12 - 21 = u - x*r, u + 5*r = 18. Solve d + 3*q = 3*d + 9, -15 = u*d - 5*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -200*w + 713*w - 31293 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (64 - ((-7 - 11) + 11))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2897 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/7 + 29943*o\/7 = 0. What is o?\nAnswer: -9981, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 9*v**2 - 276*v + 3329. Calculate l(11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h + 46*h = -5*i - 48, 4*i = h - 42 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234564311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.13 (b) -1\/2 (c) -878 (d) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*j**3 - 18*j - 5*j + 23*j + 162*j**3.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, x: 2, k: 2, m: 1, z: 2}. Give prob of sequence sxxr.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002192946 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:59 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 3. Let n be u(14). Suppose 19*i = 4*i - n. What is the nearest to 4 in 0.1, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:04 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/5 + x**3 - 28*x**2\/5 - 32*x\/5 = 0?\nAnswer: -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491319?\nAnswer: 3, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a factor of 456887711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 - -7481.8131006?\nAnswer: 7482.1531006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 33*g - 4*d = -8, -9*d = 45 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 730*g**2 + 1851*g + 136625904?\nAnswer: 1460*g + 1851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 15*j**2 + 31*j + 20. Let y(x) = 4*x**3 + 8*x**2 - 16*x - 10. Let f(t) = -3*q(t) - 5*y(t). Does 32 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 12, -1\/7, -0.5, 43, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66534 and 81861.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 11*z - 5. What is the units digit of m(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (-2 + sqrt(2448)))**2 + -3 + ((-1*sqrt(2448))**2 - sqrt(2448))*6 + sqrt(2448).\nAnswer: -60*sqrt(17) + 14689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let o(q) be the second derivative of 262*q**3 - 400*q - 1. What is f(o(l))?\nAnswer: -2471184*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3 + 0 + 5. Suppose -2*m = -3*f - 2, 3*f + q*m = 7*f + 4. Suppose 86 = t - 5*d - 1, -4*t + 3*d + 280 = f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865.318 years in centuries?\nAnswer: 28.65318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/113 - 220\/339. Let s = 17 + -16.7. Which is the second biggest value? (a) -1\/7 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to 34756726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121 - -120) + 4 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:36 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywpedpywvwewww. What is prob of sequence pvd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k - 2. Let a be l(-5). Suppose 3*u + 14 = 74. Solve -q + 5*p = -a + 4, -5*p - u = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1204884002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*n = -95, 50 = -5*k - 2*n - 113. What is the remainder when (-5 - -10)\/(k\/36 + 1) is divided by (-18 - 1)*(-2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 <= -0.24189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 2. Calculate h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfr when three letters picked without replacement from {y: 2, c: 1, r: 1, o: 5, f: 1}.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 389780*u**3*v + 147981*u**3 wrt v.\nAnswer: 389780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*r + 7 - 6)*(1 + 8 - 6).\nAnswer: -6*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Let h = 18 - 25. Let y = t - h. Solve -5*b - 18 = 3*g, -3*g - 10 - y = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*l**4 - 9\/2*l**2 + 4 + l**3 - l = 0 for l.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l + 3*w + 205, 0 = 3*l - 3*w - 312. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 22. Let h = m + 36. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 3. Let x be n(-10). Suppose -3*q + 7 = -20. What is the highest common divisor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647496170 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.034 + 0.01. Let n = 0.814 + k. What is n rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 7282*l**2 + 7297*l**2 + 1 + l.\nAnswer: 15*l**2 + l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2\/2 + d + 40. Let l(s) = -12*s + 10. What is 2*l(h) - 20*y(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tctt when four letters picked without replacement from cttct.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + z - 4*z = -36, 27 = -x + 4*z. Let i = -4 - x. Find the second derivative of -y - y - 2*y**i + 4*y wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0202936 to four dps.\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 36 = 0. Suppose 5*d - 34 = -2*h, 4*h + 7 = 3*d - 3. Find the third derivative of -i*o**2 + 0*o**6 - 2*o**d + 10*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-768)\/(-54) + 2\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22195 - -10850. Let j = -11345.0000005201 - c. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 8. Let c be o(0). Calculate the common denominator of (-160)\/11*1\/c*-2 and -36\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n)\/n)\/(((n\/((n\/n**(-21))\/n))\/n*n)\/n)*n*n\/n**21*n*n\/n**(1\/10) assuming n is positive.\nAnswer: n**(151\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 16. Let a be z(0). Suppose 0 = -4*v + 8 + a. Suppose -3*i + v*i - 9 = 0. Solve -17 = 4*o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265072 = -583*d + 194529 for d.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/93, -0.04, 4, -0.3, 4784?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.8118 minus -0.0147?\nAnswer: 486.8265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36 and -17\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 147248247 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22869 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -328746 divided by 3?\nAnswer: -109582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 620*x + 47. Let i be d(6). Suppose -4*h = -1341 - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104611*s + 24 = -5*t - 1104609*s, 3*t = 13*s - 156 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -4 - 9)\/(2\/(-8)). Solve b + 4*v + s = -0*b, v + 3 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 88\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**2 + m**2 - 9*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:28 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 + 7*o**3)*(-29*o**2 + 0*o + 3*o + 27*o**2) + (0*o + 0*o - 2*o)*(3*o**4 + o**4 - 3*o**4).\nAnswer: -6*o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1590)\/16)\/(3\/(-2))*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 227 = 2*j + 981, -386 = -n - 2*j. Calculate the highest common divisor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 654*g**3 - 3*g**2 + 12*g. Let l(v) = -656*v**3 + 2*v**2 - 9*v. Give 2*a(m) + 3*l(m).\nAnswer: -660*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1252 and 18?\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-10)\/(-4)*(-22)\/55.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtngzi. What is prob of picking 1 i and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + -5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 760 + -489. Let y = 272 - d. Solve 4*p - 6 = -2*f, 0*f + 3*p - y = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -320\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 9*i - 7. Let n(s) = -2*s**3 + 18*s**2 + 179*s + 10. Let r be n(15). Determine c(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6404718 years to centuries.\nAnswer: 0.006404718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 9*g**3 + 218 - 428 + 193 as x*g + f*g**3 + l*g**2 + k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6) - -1)*81. Suppose 0*q = -i - 3*q + 15, 95 = 3*i - q. Suppose s = 3*f, -5*f + 2*f = 4*s - i. Calculate the highest common divisor of g and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-2*5\/(-100)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 14719*t**3 + 74*t**2 + 0*t**2 + 20 + 14722*t**3 - 3*t**2.\nAnswer: 3*t**3 + 71*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -554c + -31?\nAnswer: -5580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3*g**4\/2 - 5*g**3\/3 + g**2 - 2*g - 699. Let h(u) = -5*u**3 - 4*u**2 + 2*u - 2. What is -5*h(c) + 4*n(c)?\nAnswer: c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1, 66, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 2 - 2 + (2*a + 2 - 2)*(-4*a + 2 - 2) + 4*a**2 - a**2 - a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65734 + 975*k - 65734 to d + i*k and give i.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25*(-3206 - -3201).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -624*o**2 - 13*o. Let q(z) = -z**2 + 3*z. What is -a(j) - 5*q(j)?\nAnswer: 629*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/17, 971, 2\/3, -5, 2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 220\/(-77)*(-14)\/4. Suppose 0 = w*f - 5*f - 25. Let k = -31 - -86. Calculate the highest common factor of f and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -2. Let z(n) = -17*n - 1. Let d be z(1). Let a = 20 + d. What is the second smallest value in -2, i, a, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.3556 to 0 decimal places.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37160177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -64371 smaller than -64377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 1029698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*i + 6 + 30, 24 = -4*p + 2*i. Let l be 1035 + (-2)\/4 + (-18)\/p. What is the third derivative of 1039*s - 8*s**4 - 13*s**2 - l*s wrt s?\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2024304 (base 5) to base 9\nAnswer: -50334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3654 + -868?\nAnswer: 2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -29*r**7\/210 + r**6\/40 - r**5\/20 + 17*r**4\/24 + 177*r**2 - 1. What is the third derivative of f(i) wrt i?\nAnswer: -696*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 + 1 + 1 + 0*l**4)*(53 + 38 - 38).\nAnswer: 212*l**4 + 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.42. Let s = g - 0.3. Let k = -8.04 + 0.04. Does s = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/((-2)\/2 + -1) + -1. Let z be (h + -6)\/6 + (-63)\/(-6). Put -4, z, 3, 5 in ascending order.\nAnswer: -4, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 32\/12*3. Suppose -2*u + g*u = 252. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-21))\/(0 - -3*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/21 and 35\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0085 - -0.0915. Which is the nearest to x? (a) 12 (b) 2\/3 (c) -1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 6:56 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.48 (b) -37 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*t - 6 = 0, 4*j + 2*t = t + 9. Let c(o) = o**3 + 2*o**2 + 2. Let r be c(-4). List the prime factors of (-3)\/(r\/8 + j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 956804, 956802, 956800, 956798, 956796, 956794?\nAnswer: 956792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21101211202 (base 3) to base 13\nAnswer: 51407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, -1.98, -0.062, -2, 0.2, -127?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l + 985 = 5657. Put l, -3, -2, 2 in increasing order.\nAnswer: -3, -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1977 * 0.1\nAnswer: 0.01977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let i(j) = -2*j + 1. Let m(f) = i(f) + 3*l(f). Calculate m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -4146\/275?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 - 132. Let i be ((-35)\/(-2))\/(3\/6). Let b = g - i. Calculate the highest common factor of 32 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25229977?\nAnswer: 503, 50159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4387 to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65118 and 955064.\nAnswer: 2865192","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*(l\/l**8)\/l*l)*l*l**(-1\/5)*l*l**(-3)*l**5\/l assuming l is positive.\nAnswer: l**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*c + 124*c - 126*c.\nAnswer: -204*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2 + 12. Suppose -250 = -y + 5*w, 102 - 1271 = -s*y - 2*w. Calculate the greatest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u - 8. Let r(s) be the first derivative of -s**3\/3 - s**2\/2 + 7*s + 18. Calculate 5*c(z) + 6*r(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (8 + (-12)\/3). Suppose -3*w + 7 = -2. Suppose -1 = 4*b + w. What is the nearest to -0.1 in b, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3538)\/(-7052) + (-1)\/2. Let j = z - -22739\/105780. Let p = -1\/60 + j. Sort -3\/2, p, 2 in decreasing order.\nAnswer: 2, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115.92 and 0.1653?\nAnswer: 19.161576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 123031 (base 4) to base 9\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 26. Let t = c - 15. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 35 = 3*t - 5*s, 4*t = -5*s. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2666, 1356, -2200, -9124, -20538, -37564, -61324, -92940?\n\"Answer: -187*m**3 - m**2 + 2*m + 2852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3146, -6269, -9404, -12551, -15710?\n\"Answer: -6*i**2 - 3105*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66836, 133675, 200514, 267353, 334192, 401031?\nAnswer: 467870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u - 23*u + 13 + 11*u. Let d be f(2). Suppose 0 = -2*a + 7*a - d. What is the least common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 + 2*u**5\/15 + u**4\/4 + 5*u**3\/6 - 12*u**2. What is the least common multiple of x(-7) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*h - 28 + 3, 5*y - 3*h = 10. Solve -i + 3 = -b, y*b - 35 = -5*i - 0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5126326 and 2253.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220 + -11?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23946 times 0.3?\nAnswer: 1.271838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76626 = 15*h - 72*h - 9*h. Calculate the remainder when h is divided by 79.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*m - 296, -4*i = -6 + 2. What is the least common multiple of m and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:09 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5*(-10)\/4. Suppose 18 = -d*q + 5*q. Suppose 2*t - 5 = 1. What is the highest common factor of q and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 409.76, -0.145, 3\/5?\nAnswer: 409.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**3 - 4*q**2 + 14*q**3 + 1 + 12*q**3 - 134*q - 6*q**2 - 38*q**3 wrt q?\nAnswer: -12*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 40. What is the lowest common multiple of b and 138\/16 - ((-33)\/8 + (-3105)\/(-828))?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 15. Let u(y) = -y + 15. Let a be u(z). Suppose a = -5*b - 5*s + 75, -3*s + 95 = 5*b - 2*s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230 + -10232?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 11, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 6*d**3 + 0*d**3 + (0 + 2 - 4)*(-d**3 + 0 + 0) + 2*d**3 - d**3 + d**3 + (-5*d**2 - 4 + 4)*(d + 2*d - d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2892 + -700?\nAnswer: -c3092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1989, 3987, 5987, 7989, 9993?\nAnswer: 11999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/((-11235)\/(-126)))\/((-4)\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19953733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 441*v + 81. Suppose 231 = 4*k - 93. Let d(l) = -11*l - 2. Let u(z) = k*d(z) + 2*c(z). Let g(h) = h**2. Determine g(u(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {s: 4, l: 7, m: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = -103*u - 89*u - 301 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) - (-1 - 5). Suppose 0 = c - t*m, -m + 2*m = -c + 5. Let u(f) = c*f**2 - f**2 - 4*f**2. Let s(z) = -2*z. What is s(u(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.933 + 1.905. Let o = 2.972 + -2.6. Let y = r - o. Which is the third biggest value? (a) -0.1 (b) -1\/5 (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q - 239 = -3*v, -3*q = 5*v - 397. Suppose 15 = 3*g - r, -4*g + r - 2 = -21. What is the common denominator of 137\/6 and -3 + g - v\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8765611 to the nearest integer?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/2 + 81*u**2 = 0.\nAnswer: 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 24 = -35*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4146)\/(-8) - 0)*(-20)\/(-15). Let i = -400 + s. List the prime factors of i.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/((-47880)\/(-27)))\/(18\/(-428)) and -3\/10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 387804\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1073 - 0.1881. Round j to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 158 - 96 = -278 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -22. Let w(l) = 10*l**2 + 7*l**3 - 1 - 2*l - 6*l**3 + 0*l + 4. Let u be w(s). Which is smaller: 65\/3 or u?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 31*t**2 - 2*t - 72. Determine x(-31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 10*g + 15. Let h be s(-2). Let i = h - -11. Let c be 40\/(-50) - (-4)\/i. What is the fourth smallest value in c, -0.3, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -1 + 980\/(-70). Let p be (-400)\/(-1716) + f\/156. Solve 2\/11*r**2 + 0*r + 0 - p*r**4 + 0*r**3 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**5\/2 + 12*f**4 + 69*f**3 - 192*f**2 - 495*f\/2 = 0?\nAnswer: -5, -1, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = -2*p, 4*o + 5*p + 6 = o. Determine x so that 8*x + 4*x**3 - 3*x**2 - o*x**2 - 6*x**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183.3 - 170. Let z = u + -13.29999764. Round z to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.048.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37790.08 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 3 + sqrt(99))**2 - sqrt(99)) + sqrt(11) - 3*sqrt(77)\/sqrt(7)) + (-3*(6*sqrt(44)\/sqrt(4) + sqrt(11) + -1))**2.\nAnswer: -95*sqrt(11) + 5265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fccf when four letters picked without replacement from {f: 13, c: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*k + 11*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9393664 and 8960.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/30477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*w = -4, 3*d + w + w = -10. Is (-5 + 3)\/(-4) + (-1909)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and 117?\nAnswer: -269.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -3*m**5\/20 + 2*m**4\/3 - 12*m. Find the third derivative of d(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633299037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 (base 15) in base 8?\nAnswer: 10766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 18*p**2 - p + 24. Let m be s(-18). What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14.1. Let w = 0.036 + 0.464. Let h(c) = -2*c**2 + 43*c - 227. Let x be h(9). Put 0.05, x, w, d in ascending order.\nAnswer: x, d, 0.05, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 - 4*n + 1. Suppose 9 = 2*g + 1. Let x = g - 0. Let q = 45 - 52. Let u(k) = 2*k**3 - 7*k**2 - 7*k + 2. Calculate q*z(r) + x*u(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 653, 1591, 2905, 4595, 6661?\nAnswer: 9103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23754667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*t - 141 + 46 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*3*sqrt(175) + -3*(sqrt(175) + sqrt(175) + -3))*-6 + 0)**2.\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -1\/2*y**4 + 2\/5*y**5 - 2\/3*y**3 + 0*y**2 + 1\/3*y**6 + 2 + 0*y. Solve q(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426055 + 3715159 = 91*f. List the prime factors of f.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 12) + 16 - ((-3 - 1) + 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {l: 1, g: 9, e: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 11 - 6*d**2 + 27*d**2 to z*d + b*d**2 + i and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 40*k + 489 - 1225 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 6, a: 3, y: 5, w: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -670*h**4 - 562*h + 2?\nAnswer: -8040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*((-33)\/(-42) - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558135.9 take away -4?\nAnswer: 6558139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76)*-3)**2 - (-2 + sqrt(190)\/sqrt(10)) - -2*(sqrt(38)\/sqrt(18) + 5).\nAnswer: -sqrt(19)\/3 + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 2, z: 4}. What is prob of picking 1 r and 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*c - 9, 20 = -2*c - 2*m + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204402 is divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Find the third derivative of 3*q**3 - 2*q**3 + 4*q**3 + 23*q**f - 4*q**3 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 6*m + 1. Let i be b(-4). Let d = -13 + i. Let v = -7 + d. Let q(p) = -2*p + 4. Calculate q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/457 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 5*c, c + 3*c + 24 = 4*q. Let v(n) = 2*n**2 - 5*n. Let p(x) = -x**2 + 2*x. Calculate q*v(a) + 15*p(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -52, -1846, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f + 6. Let c(z) be the second derivative of 13*z**3\/6 - 3*z**2 - 9*z - 2. Let l(u) = 3*c(u) + 4*h(u). Give l(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/88 and 97\/6035304.\nAnswer: 6035304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 3*v + 3. Let x(q) = -5*q**2 + 2*q + 2. Let h(y) = 2*i(y) - 3*x(y). Let p(j) be the first derivative of 2*j**3 + 439. Give p(h(z)).\nAnswer: 150*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2.04216 (c) 15.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6929053 and -524.\nAnswer: -6929577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.6 + -53.4. Let g = -55.1 - u. What is g rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5, 5, 9 in decreasing order.\nAnswer: 9, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((-2*sqrt(16))\/sqrt(4)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -4*sqrt(180)) + -1)**2 + 3 + 1*sqrt(35)\/sqrt(28) + -3.\nAnswer: -119*sqrt(5)\/2 + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32\/5, 0.12, 4\/7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = 0. Suppose 3*t - t - 32 = w. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*v - 31 - 84 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843 = -2*d - 1277. Let w = d + 1065. Solve 9 = s - 2*o, s + 6 = -3*o - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614089902.\nAnswer: 2, 15139, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*b**4 - 3*b**2 - 27*b + 2 wrt b?\nAnswer: -1620*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*r + 2429*r - 676*r - 632*r - 611*r.\nAnswer: -211*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 + 128*c\/15 - 589638\/5.\nAnswer: 2*(c - 909)*(c + 973)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 7*n - 6. Let o be q(-8). Factor -o*c**4 + 14*c - 2*c**2 + 5*c**2 + 10*c**3 - 21*c**2 - 4.\nAnswer: -2*(c - 2)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76218 is divided by 802?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -348*i - 240761. Calculate b(-692).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 41, 11, 0 in increasing order.\nAnswer: -1, 0, 5, 11, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5859, -9221, -12581, -15939?\n\"Answer: d**2 - 3365*d - 2495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 9. Let j be g(-7). Let b(v) = 2*v**2 + 71*v - 91. Let p be b(-37). Solve 5 = -j*a + p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5621918 - 670548. Let d = 6292685.99638 + y. Let r = -220 + d. What is r rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 0*p = 2*p. Suppose 3605 = c + 3*c - 3*t, p = 2*c - 3*t - 1795. List the prime factors of c.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36686 and 55692?\nAnswer: 4622436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 4 in ascending order.\nAnswer: -18, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**3 - 31*y**2 + 13*y. What is o(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3271252)\/471)\/(0 - 1\/(-225)). What is d rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-2 - (8 + -5)). Let d(o) = 2*o - 6. Calculate d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 48 = -6. Let d be p\/12 - (-34)\/(-4). Let v(k) = 3*k**2. Let l(j) = 9*j**2. Determine d*v(x) + 3*l(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 4*g**2 - 3*g**2 + 33)*(2 - 2 + 3*g**2) in the form f + o*g**3 + u*g**2 + m*g + n*g**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075642 is divided by 358532.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4246654.5 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) -0.3 (b) -21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -22) + 14 + (0 - -8) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 115*g**3 + 4990*g**2 + 88800*g = 0. What is g?\nAnswer: -37, -16, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 46\/3*x**3 + 205\/3*x**2 + 0*x + 1\/3*x**4 + 0 = 0. What is x?\nAnswer: -41, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089233 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((435\/(-36))\/(-29))\/((-11)\/(-99))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -782\/19, 14624, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123 + (-2 - 3) + 4. Let g = b - 118. Factor -2\/5*i**g - 4\/5*i**2 + 0*i + 6\/5*i**3 + 0.\nAnswer: -2*i**2*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34165070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3)*(-375)\/10. Let a = 771 + -723. Is y <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 4 + (4*(4 + sqrt(1331) + sqrt(1331) - sqrt(1331)) + 1)**2)*-6.\nAnswer: 53856*sqrt(11) + 777276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o. Let d(r) = -8*r**2 - 6*r + 3. Give -d(y) - 5*v(y).\nAnswer: 3*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18865, 75358, 169511, 301324?\nAnswer: 470797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633671755?\nAnswer: 5, 326734351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000 (base 2) to base 11.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 37*g**2 - 33*g**2 - 2 to the form t*g**2 + m + v*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13475249*b**2 + 103239372*b.\nAnswer: 26950498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/(-1845))\/((-22)\/2277)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-189)*(-10)\/(-5)*-7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/188 and -91\/188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1601\/846 - 164\/141. Calculate the common denominator of y and -149\/3972.\nAnswer: 11916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*l + 70*l + 2 + 0)*(3*l - 3*l - l) to u*l**2 + f + i*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 31 + 35 + 0 - (3 + -12 + 2)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 104615357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 55.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12\/437 + 1808\/2185. Find o such that -6\/5 + 2\/5*o**2 + m*o = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -32*o + 10. What is the tens digit of w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805637 is divided by 902095.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -158*p**2. Let j(z) = -13*z**2. Determine g(j(o)).\nAnswer: -26702*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -5 - 1)*1134\/(-72). Let z be (-1)\/(-4) - (-174)\/8. Suppose m + 67 = 5*l, -z - 14 = -3*l + 2*m. What is the greatest common factor of v and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10757355*b - 20210781 wrt b?\nAnswer: 10757355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-30 + 0)) + (56 - (31 - -21)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 + 2\/15*s**5 - 61\/12*s**4 + 0*s + 41*s**2 + 5*s**3. Factor y(k).\nAnswer: 2*(k - 15)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 2*q, -99 = -4*l - q. Suppose -l = -5*h + 2*x, h + h = -3*x + 2. What is the remainder when 2\/7 - 150\/(-14) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l + 46. Is 19 a factor of d(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/6, -2\/11, -4, -5?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7212 - 534?\nAnswer: 6678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 21*k**2 - 19*k + 23. Let y be l(-20). Solve 14*n - 11*n = -y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 + 18*m**3 - 42*m**3 + 14*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -246006967*h**2*i - 442759807*h**2 wrt i.\nAnswer: -246006967*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 11 + 84*q + 41*q + 43*q.\nAnswer: 153*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:27 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 6.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 3*p**2 + 7*p - 12. Let j(c) = -c**3 - c + 1. Let y(o) = j(o) - l(o). Let n be y(-5). Factor -v + 3*v**n + 0 + 1\/2*v**2.\nAnswer: v*(2*v - 1)*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/4 and 47\/198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let l = 6.581 + -6.571. What is the smallest value in l, u, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 - -19710208734.8\nAnswer: 19710208734.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 3482, 7848, 13960?\nAnswer: 21818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1295249601 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2504*u**3 - 2110*u**2?\nAnswer: 15024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 + 7*h**2 + 6*h + 9. Let w be m(-10). Let u = w - -5250. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + c + 63 - 39, -5*h = 3*c + 36 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25739, -205926, -694993, -1647374, -3217503, -5559814?\n\"Answer: -25739*h**3 - 6*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1 + 1 - 361*t**2 + 363*t**2 + 0. Let z(x) = -137*x + 2. Let f(p) = 28495*p - 417. Let y(i) = -2*f(i) - 417*z(i). Give y(v(c)).\nAnswer: 278*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) + 23\/5. Solve -j*k - 17 = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1969645 divided by -7\nAnswer: 1969645\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268455 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)\/1 - -41. Let f be 1\/((1\/27)\/(-1)). Let w = a + f. Solve 3*z - 4*z = 5*g + w, 0 = -g - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldllodoqqodq. Give prob of picking 2 q, 1 l, and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*w = 5, 7*w = 2*w + 5. Suppose r = -2*b + 6*b - 476. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/((-280)\/(-20)))\/(1\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3888 and 67590.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4935 = 14*k + 301. Which is smaller: 335 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**2 + 13*m**2 + 39*m**2 + 103*m**2 + 82*m**2 as q*m**2 + g*m + y and give q.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -29, -256, -1\/4042 in decreasing order.\nAnswer: -1\/4042, -0.5, -29, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 - 150*k + 31. What is d(-19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 60?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 6*j - 6. Let f(o) = 5*o**2 - 25*o + 25. Give -6*f(n) - 25*v(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 4*v + 4*v + 2*v - 1 + 1 + 0*v - 2*v + v - 1 + 1 - v + (-3 + 3 - v)*(0 + 5 - 3) - 3 - v + 3 - v + 1 - 1 as w*v + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*w + 115, 4*w + 10 = -2. Calculate the highest common divisor of 65 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 4*u + 3 - u. Let o(w) = -4*w + 10. Suppose -24*c = -28*c - 12. What is c*o(g) + 10*y(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q = 82*q + 41 - 294 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3\/(-6) + 33\/42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -381?\nAnswer: -37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*c - 4 = -3, 2*t + 3*c + 5 = 0. Let z be (-276)\/(-84) + -1 + t. What is the third biggest value in -0.1, 0, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/(-3)*(5 - 1540\/(-25))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 3)*(-8*t**3 - 7*t + 9*t**3 - 3*t**3) to the form k*t**2 + u*t**3 + i*t + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -33) + -7 + (1 + -1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/136 and 125\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1650880 - 1651877.941. Let z = y + 1003.2. Let p = 0.059 - z. Round p to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v + u, v + 3*u - 4 = u. Let g = 74 + -98. Let f = g + 26. Sort -5, f, 3, v in descending order.\nAnswer: 3, f, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16698342829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57670271.\nAnswer: 719, 80209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11930.7816 nanoseconds in days?\nAnswer: 0.00000000013808775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -34. Let h = -20 - g. Suppose -10 = 5*a - h*a, a = k - 87. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 3)*(-3)\/(-9)*2. Suppose -3*h - t*h + 923 = 3*y, -y + 2*h + 304 = 0. Calculate the greatest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70166485*b*u**3 - 2*b*u**2 - 1927*b*u + 6*b - u**2 + 7*u + 1 wrt u?\nAnswer: -420998910*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2. Let q(b) = -12*b + 2. Let j be q(1). Let g(k) = -k**3 - 10*k**2 + 4. Let i be g(j). What is h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6\/35))**(-4\/19) assuming r is positive.\nAnswer: r**(-164\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 - 5*p**3 + 4*p**3)*(10320 + 4394 - 2793 + 1010 + 3115 + 5111).\nAnswer: -84628*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50244600*j**6 + 43143271*j**2 wrt j.\nAnswer: -6029352000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -11 in increasing order.\nAnswer: -11, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351) + (-6*(sqrt(351) + -2*sqrt(351) + sqrt(351)) - sqrt(351)) - 4*sqrt(351)*2)\/(-4*sqrt(6)\/((sqrt(14)\/sqrt(7) + sqrt(2))*2)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -217153 less than 662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:19 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -2. Let r be (2\/1)\/(0 - 1). What is the units digit of s\/2 - 42\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -5 (c) 117 (d) 6 (e) -14 (f) 5 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 1838, -5 in descending order.\nAnswer: 1838, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19.562*711\nAnswer: -13908.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 713170460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-39))\/((-878)\/5707)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/9 - 1204*t**2\/9 - 60800*t\/3 - 40000 = 0?\nAnswer: -300, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 + 70\/35. Suppose 0 = -r - c*u + 6959994, 3*r - 4*u = -2618883 + 23498895. Round r to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.38 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, c: 3, z: 1}. Give prob of sequence av.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -190.\nAnswer: 190.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let w = -3.027 + -0.073. Let m = w - x. Sort 1, m, -4 in ascending order.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137555710?\nAnswer: 2, 5, 43, 319897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (-90)\/(-60). Let r(p) be the second derivative of -3\/20*p**5 + 1\/2*p**3 + w*p**4 - 4\/5*p**6 + 0 - 2\/7*p**7 - 3\/2*p**2 + p. Factor r(j).\nAnswer: -3*(j + 1)**3*(2*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/60 - p**5\/30 - p**3\/3 - p**2. Let r = 15 + -11. Suppose -4*h - b - 2 = -5, 4*b + 12 = -r*h. What is d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7106 - 2331. What are the prime factors of h?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 1399*t - 699*t - 700*t - 5*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12229181 is divided by 3057281.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 47.6. Let r = -50.1 - -10.1. Let i = r - z. What is i rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 3*x - 5. Let s be h(7). Let g be (-18)\/(-81) - s\/(-18). Is g <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0 + -5)**2*1.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = 215*y + 1652. Let x(h) = 10*h**3 - 37*h - 10. Let g(f) = -7*f**3 + 25*f + 7. Determine y*g(s) - 5*x(s).\nAnswer: -s**3 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 4*n**6\/3 + 47*n**3\/3 - 20*n**2 + 4*n + 1158. Find the second derivative of g(u) wrt u.\nAnswer: 160*u**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 8*f**3 + 21*f**3 - 2 - f**3 to the form c + h*f + j*f**3 + u*f**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/5))**(3\/7)\/(f**6*f**5) assuming f is positive.\nAnswer: f**(-376\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.81 + -0.41. Which is the biggest value? (a) -2\/13 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*i**2*m - i**2*x + 35*i*m**2 - 116*i*m*x + 3*m**2*x - 3*x with respect to x.\nAnswer: -i**2 - 116*i*m + 3*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -99, -0.2, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-7)\/(-2))*0. Suppose s*j + j = 4. Is 4 a factor of 1\/(((-12)\/(-21))\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 150, 461, 1076, 2097, 3626, 5765, 8616?\nAnswer: 12281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by ((-11)\/2)\/(4 - 9\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 338238*g**4 + 9525285687*g**3 - 476898668100*g**2 + 5963877007500*g.\nAnswer: 3*g*(g - 25)**2*(g + 56398)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.4. Let x = -11.6 + 7.6. Which is the nearest to -2? (a) 0.2 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 8437*m**7\/210 - 137*m**4\/24 + 7*m**3\/3 - 50*m**2 - 2*m + 1. Find the second derivative of k(w) wrt w.\nAnswer: 101244*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6344 (base 7) to base 13\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -152, -260, -384, -518, -656?\n\"Answer: d**3 - 17*d**2 - 42*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 36522*c**2 - 4925376*c + 166991136 = 0. What is c?\nAnswer: 68, 12038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:50 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*s + 12*s. Factor -x + 0 - 1\/2*x**s.\nAnswer: -x*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 115. Let u = -79 - l. Suppose -52 = -5*j - 3*w + u, 3*w = 3. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002408 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let m(c) be the second derivative of -c**4\/4 - 65*c**3\/6 - 24*c. What is o(m(p))?\nAnswer: 18*p**4 + 780*p**3 + 8450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*r + 44*r + 112. Solve 6*t - r = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1540, -4154, -8626, -15424, -25016, -37870, -54454?\nAnswer: -75236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 29*q + 11. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)**7)**(-7) assuming a is positive.\nAnswer: a**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/96 and 113\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52965498 to the power of 1\/2, to the nearest integer?\nAnswer: 7278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.474 in 2\/11, -12704, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 bigger than 495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -34 + 8 + (-3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 215*a. Let l(x) = 15*x**2 + 85*x. Determine l(q(u)).\nAnswer: 693375*u**2 + 18275*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20931 or -63105?\nAnswer: -20931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:11 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19082441.\nAnswer: 7, 19, 143477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (34 - (58 - 19)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**5 - 24232*t**4 + 1622185*t**3 + 9595157*t**2 + 4491904*t + 548720 = 0.\nAnswer: -5, -1\/4, 76, 1444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by (-14)\/(-1)*(-1326)\/(-204)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4660, 18377, 41234, 73231, 114368, 164645?\nAnswer: 224062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + -1?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(0 - 3 + 5) + 4 - 1 - 1)*(19*d**2 - 1 - 7 - 23*d**2).\nAnswer: 8*d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1806 - -1806.1. Which is the smallest value? (a) 1\/14 (b) p (c) 68 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 11. Let o be c(14). Let h be (-36)\/27 + 1\/o. Let z(t) = t. Let u(m) = 6*m + 7. Let x(l) = h*u(l) + 5*z(l). What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (-2*sqrt(108) - sqrt(108)))**2.\nAnswer: -3924 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, 8, 44, 110, 212, 356, 548, 794?\n\"Answer: i**3 + 6*i**2 - 13*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - 2*m - 6. Let l be d(-8). Let w(f) = f - 7. What is the lowest common multiple of w(l) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1 + (-22)\/(-26)). Let c = 15 - 14.9. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30088 = 2*h + 2*w, 374*h - 381*h + 105316 = -w. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 18*c + 6. Suppose 0 = 437*i - 430*i - 63. Is n(i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18792 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3368*f**2 + 410*f**2 + 737*f**2 - 2946*f**2)*(1 - 4 + 1)*((-4 + 3 - 1)*(2 - 4 + 0) + 4 + 2 - 4) as g*f + h*f**2 + l and give h.\nAnswer: 62004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*x - 286 - 1942 - 863 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19519 (base 16) to base 6.\nAnswer: 2120041","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2800 and -55\/472.\nAnswer: 165200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 2. Suppose -6*a - 3*l + 22 = -5*a, -12 = -a - l. Let z(q) = 6*q**2 - q + 7. Give a*p(n) - 2*z(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from qlvyqyypqlqyqpqlqqy?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19728, -19724, -19722, -19728, -19748, -19788, -19854?\n\"Answer: -z**3 + 5*z**2 - 4*z - 19728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/445 greater than or equal to -202797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000417 to 7 decimal places.\nAnswer: -0.000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15235513*c**5 - 35016579*c wrt c?\nAnswer: -304710260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1217.8 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {a: 4, w: 10}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -81656?\nAnswer: 24496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*v + 6*v + 1784489, 3*x = 3. Round v to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.289119517 rounded to three decimal places?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovoooovrvvooooovor. What is prob of sequence vro?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 730*n**2 - 729*n.\nAnswer: -n*(n - 729)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*(b\/b**(4\/5))\/b*b*b)*b**6*b assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4428667*v**2 + 771457*v**2 - 5277187*v**2.\nAnswer: -8934397*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c + 50. Let p = c + 14. Suppose 0 = 5*q - p*r + r + 4, 3*q = -r + 6. Does q = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 101. Sort 3, a, 4, -4 in decreasing order.\nAnswer: 4, 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*d = 2*z + 8, 3*z - 3*d + 6 = 0. Suppose 0 = -6*n + z*n + 64. Suppose -23 - n = -k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171945654.\nAnswer: 2, 3, 23, 31, 40193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 1:56 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(1*sqrt(2)) + 5*sqrt(17)*-5)**2 + 4 + sqrt(1700)*-5 + -5 + 2.\nAnswer: -50*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.071 (c) 1 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)*-1*1 - (sqrt(364)*-2 + sqrt(364))*5)\/((sqrt(448)*1 - sqrt(448) - sqrt(448))*-1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) -0.004 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -30. Suppose w*t + 52 = -0*p + p, 5*p = 4*t + 266. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -260, -470, -746, -1100, -1544, -2090?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-4*(-3)\/(-2367))?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -4*l. Let k(n) be the second derivative of n**2 + 0 + 0*n**3 - 1\/6*n**l - 3*n. Suppose k(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-189)\/(-2) + (-3)\/6. Suppose 4*t = 6*t + a. Let q = -9 - t. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from bbrrbbccbybbb.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*g + 21 = 0, -6*g + g = 3*o - 43. Let z = o - 14. Let h(m) = 3*m**2 - 4*m**2 + 2*m**z. Let n(r) = 3*r**2. What is n(h(q))?\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 9.8.\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 220, 0.1, 0.7, 5 in increasing order.\nAnswer: 0, 0.1, 0.5, 0.7, 5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*g - 7*g + 505, -5*g + 513 = 3*z. Suppose g = 5*o - 345. What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183 and 60.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 179*i - 5. Let r(x) = 38*x - 1. Determine 4*c(g) - 22*r(g).\nAnswer: -120*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8610 and 25830?\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219 + -28. Let p = d + -127. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:48 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8 (b) 46\/3 (c) -2\/3 (d) -0.02 (e) -4 (f) -4\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 9*h**2 - 11*h - 20. Let p be n(-8). Solve -3*s + a + 12 = -6*s, 5*s = p*a - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -28*j**2 + 24*j + 6. Suppose -1 - 2 = -w. Let u = w + -1. Let d(q) = -113*q**2 + 97*q + 25. Let t(y) = u*d(y) - 9*k(y). Factor t(s).\nAnswer: 2*(s - 1)*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.01 - 3. Let w = f + 0.19. Let a = 3.7 - -1.3. What is the second biggest value in w, -4, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 9*s**2 - 14*s**2 - 1)*(76 - 27 - 4 - 145).\nAnswer: 400*s**2 + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, -2, -5 in decreasing order.\nAnswer: -2, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2014*u**2 - 38275*u - 171 = 0?\nAnswer: -19, -9\/2014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46e - 0?\nAnswer: -46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 0.03. Let o = -0.4 + -1.6. Sort o, u, 2 in increasing order.\nAnswer: o, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 678 + 384 = 0. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 218*u + 3*u**2 - 67607 + 55726.\nAnswer: -(u - 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t + 4 + 0*t - 1 + t to c + y*t and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -17) + (7 - 21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 26 (b) 5 (c) -1 (d) 4\/117 (e) -7 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.8 + 79.8. What is the third smallest value in -4, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404111 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let k(b) be the second derivative of -b**4\/6 - 27*b**2\/2 - 5*b - 28. Determine k(r(c)).\nAnswer: -2*c**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13817896*u + 13197239.\nAnswer: -13817896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*t - 50*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 36 = 4*n. Let o be (0\/n - 0)\/(33 + -31). Solve -3*h = -o*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5811915*l**2 - 586006 wrt l.\nAnswer: -11623830*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3636 and 11211?\nAnswer: 134532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.179 - 82. Round x to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, 433, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -5, -29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 15. Let t = -6 - j. Let v(x) = -3*x + 2. Let q(d) = -d + 1. Calculate t*v(o) + 4*q(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3 + 321*q**2 + 501*q - 330.\nAnswer: -3*(q - 55)*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {l: 1, j: 1, x: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 - 14*s + 2. Let q be u(0). Let n(c) = -253*c**2 - 251*c**q + 496*c**2. Let v(b) = -23*b**2. Determine n(v(r)).\nAnswer: -4232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 - -170. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (3 + (-7 - -14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 28*b**3 + 4*b**2 + 4*b + 5. Let u(s) = s**3 + s**2 + s + 1. Give 4*u(h) - w(h).\nAnswer: -24*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -342, -2305, -7628, -17991, -35074?\n\"Answer: -280*o**3 - 3*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 5*z. Let s = z - -1. Which is the nearest to 0.1? (a) -1 (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - -49. Let a be m\/6 + (-38)\/57. Solve 2*y = -2*n + 8, 10*y - a = -3*n + 5*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 41 = -6*a. Calculate the highest common factor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 22. Suppose -n = -i - 3*i - 147, -4*n + 660 = d*i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(2\/5)))**22*(x\/x**4)\/x**(2\/3) assuming x is positive.\nAnswer: x**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-45))\/(((-39)\/45)\/(-13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-48))*a\/(a*a**(2\/107)\/a*a*a)*a*((a*a**37*a*a)\/a*a)\/a*a*a*a**(-11)*a)**(-8) assuming a is positive.\nAnswer: a**(14568\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-2) - (-3)\/(-2). Suppose -2*h - 3 = h, o = a*h + 7. Suppose -2*g = -g - o*i - 68, i = -3*g + 254. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2476\/7 - 354. Is 15.5 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.3985 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*o + 31. Sort o, 5, -8 in increasing order.\nAnswer: -8, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-144)\/(-240) + (548\/20 - 2*-1). Suppose -3*j + 0*t + 145 = -5*t, j + t = 51. What is the highest common factor of j and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114)*2 - sqrt(114)))\/(-1*sqrt(864)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 6*h**3 + 25*h**2 + 95*h**3 + 4*h - 26*h**2 + 64*h**3.\nAnswer: 165*h**3 - h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 43016731380?\nAnswer: -43016731366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105489\/37 - 2851. Let f = -34 - -33. Which is the biggest value? (a) f (b) 5 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6 + (-14)\/21. Which is the closest to -2? (a) 4 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 9 = -4*o. What is the remainder when 4 + o + (-2 - -3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 3*r - 9. What is the lowest common multiple of 9 and m(2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -35, -12, 29, 94, 189, 320, 493?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n. Let s(c) = -12*c. Determine s(i(m)).\nAnswer: -132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 179 + 14 - q in the form g*q + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - 2*l + 4. What is f(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 170 + 3*a**2 - 192)*((4 - 4 + 3)*(2 - 3 - 1) - 3 - 1 + 3) in the form b*a + h + c*a**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101011111?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 42076804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112670 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1410\/329*(392\/7)\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3263 + -2588. What is the remainder when t is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18 - 5 + 3)*(3*g - 2*g + 0*g) + 193*g + 183*g - 421*g)*(0*g**2 + 0*g**2 - 2*g**2).\nAnswer: 130*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2779654800069*l - 8*l**3 - 2779654800065*l - 2*l**3.\nAnswer: -10*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 3, x: 3, l: 1}. What is prob of sequence xxh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.93 - -0.13. Let h = -1.2 + u. Let y = 0.12 + -0.02. What is the nearest to y in 0.2, h, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.142 - 0.086. Let a = 0.06192 - d. What is a rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.393 times -34141\nAnswer: 13417.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 3 (b) 5\/6 (c) -1\/6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 70.681 (c) 3 (d) 2\/17 (e) 1 (f) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 3*m**2 - 2*m**2)*(-m + 3*m - m)*(-57 + 79 - 396) + (2 - 2 - m**2)*(-1 + 1 - 2*m).\nAnswer: 376*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n**2 + 0 - 2\/3*n**3 + 2\/3*n = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 8 = 2*o - 9*z, 0 = -2*z. Suppose 3*d - o*g = 546, 6*g - 728 = -4*d + 5*g. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14943600 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -888 + 0?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 49 = 139. Let k be x\/9 + (-2)\/(-3). Suppose -3*s + k*s - 11 = 3*h, 12 = -4*h. Solve 0 = s*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -74*p. Let n(m) = -2*m + 2908589. What is n(z(h))?\nAnswer: 148*h + 2908589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v**(-4)\/v)\/(v\/((v\/((v*v*v*v*v**7\/v*v)\/v)*v)\/v*v)*v**(1\/4)) assuming v is positive.\nAnswer: v**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.9041 times -0.3?\nAnswer: 35.97123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88\/17*d**2 - 2\/17*d**4 - 396\/17*d + 76\/17*d**3 + 234\/17 = 0. Calculate d.\nAnswer: -3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1924088 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2040 divided by 1\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhh when four letters picked without replacement from {d: 2, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -31 (b) -36 (c) 3 (d) -2 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4.3. Let z be (-1)\/(-5) - 2\/10. Let d = 0.09 - -0.01. What is the closest to z in q, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 4. Let m = q - 7. Solve -4*r + 4*x + 16 = 0, 0 = -3*r - m*x - 5 - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from ejxtetktexzzxzzzzxt.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - ((5 - 2) + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 16007207?\nAnswer: -16007203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181008 by 63.\nAnswer: 20112\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033039065 + 282.\nAnswer: 282.033039065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14881 (base 10) in base 9?\nAnswer: -22364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 7*x + 6. Let v = 79 + -39. Suppose -4*b - 3*p + v - 1 = 0, 5*b - p = 25. What is the tens digit of h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-12)\/(-15))\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95676, 95347, 95004, 94641, 94252, 93831, 93372?\nAnswer: 92869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 254 = 4*d, 4*d + 1342 = 5*h + 88. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from boetrbt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18*(-234)\/104)\/(-17)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/12*(-72)\/(-8). List the prime factors of ((-144)\/i)\/((-1)\/(-60)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Let b be p(9). Let x be 114\/36 - b\/12. Let h be ((-4)\/5)\/((-2)\/20). Solve u + x*u = -h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -4150112009966.\nAnswer: -4150112009966.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 26. Let z be v(0). Let n be z\/6 - 8\/(-12). Let c = 19 + -13. Solve -3*b = -n*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 24\/13, -0.2, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-256)\/10)\/((-4)\/20). Let b = l - 77. Let c = 65 - b. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 580.\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2. Let g(z) = -323*z + 86*z - 200*z. What is c(g(n))?\nAnswer: -381938*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.24 + -1.14. Let r be (2\/5)\/(18\/(-20)). Let k be 2\/20 + (-4)\/(-10). What is the nearest to k in 2, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 88056*k**2 - 968307*k - 1584414.\nAnswer: -3*(k + 2)*(k + 9)*(k + 29341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 9*m - 4. Let v be f(-10). Let r = -9 - v. Suppose 0 = 5*l - r - 0. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406458443 rounded to the nearest 10000?\nAnswer: 406460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 - 10*w**2 - 4*w. Let o be d(5). Suppose 0 = -0*k + 2*k + 2*i - 88, 0 = 5*i - o. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = 4*z - 72. Let s be -2 - (-2 - (-1479)\/(-15)). Let n = s + z. Which is the nearest to n? (a) 3 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2 + 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 2*n. Let o(x) = 4*x**3 + 7*x**2 + 8*x. What is 6*j(q) + o(q)?\nAnswer: -8*q**3 + 7*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/210)\/((-1019)\/(-10190)))\/(52\/(-42)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55446*x**4 - 411121*x**2?\nAnswer: 1330704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*p + 11282 = 0, -2*s + 21341 = -2*p - 1293. List the prime factors of s.\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -82\/3. Let f(n) be the first derivative of 1\/9*n**3 + 1 - z*n**2 + 0*n. What is x in f(x) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -4*b**6\/15 + b**5\/5 + 2*b**4\/3 - 2*b**3\/3 + 6*b. Factor s(g).\nAnswer: -4*g*(g - 1)*(g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263667.\nAnswer: 3, 179, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 13*n + 39. Let a be m(-6). Let b be 7 - (a - (-486)\/49). Suppose -2*t = 2*t. Is b > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovoooooooooooovovvo. Give prob of picking 1 o and 1 v.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 2. Let k(h) = -1 - 5*h**2 + 2 + 6*h**2 - h**4. Let g(m) = 2*k(m) + n(m). Differentiate g(a) with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 15*c + 207, 3*c - c + 41 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-3)\/(-6 - -3)). Suppose 42 = w*n - 6*n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 7\/977, 0.34 in increasing order.\nAnswer: -2, 7\/977, 0.34, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + y + 2*n = -24, 0 = 3*n for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 76 - 217. Put -65, 7, k in descending order.\nAnswer: 7, k, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 822314374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.20367 - 100.68633. Let m = y + 102. What is m rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4712 is divided by 1528.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(1300))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10365 (base 7) to base 2\nAnswer: 101000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10330, -10346, -10372, -10408, -10454, -10510?\nAnswer: -10576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 80\/12 + 8\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*u + 1738712 = -6*z + 1738720, -4*z = -3*u - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i. Let s(k) = -116587786*k**2. Give a(s(w)).\nAnswer: -349763358*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132356 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 0.2 (c) 2\/3 (d) 329 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319.8 - -320.8. Sort j, 13\/4, 2\/7.\nAnswer: 2\/7, j, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -313903\nAnswer: -1255612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30120323 (base 7) in base 4?\nAnswer: -21200133302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 3, 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 2, 6, 2590 in increasing order.\nAnswer: -92, 2, 6, 2590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 795854 and 63218.\nAnswer: 58097342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-40))\/(-3)*2025\/(-3150)*(-4)\/(-3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:37 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198\/5 - 39. Suppose 102*m - 116*m + 98 = 0. Let n(h) = 2*h**2 - 9*h - 12. Let l be n(m). Which is the second biggest value? (a) l (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.122518mm to meters.\nAnswer: 0.003122518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**2 - 10*t + 7. What is n(4)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 - 9*i - 10. Let j be c(-7). Let t be (1*2)\/(2\/j). Find z such that 2*z**5 + 3*z**2 + z**t - 2*z**3 - 4*z**2 + 0*z**3 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 128, 174, 200, 200, 168?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*y + 58, -3 - 7 = 5*y. Let r = l - -17. Solve -9 - 6*n**2 - 32*n + r + 42*n**2 + 4*n = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -324450, -648853, -973256, -1297659, -1622062, -1946465?\n\"Answer: -324403*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 747212003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 727674049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257790823\/3555 + -72515. Let y be (0 - 1) + 77019\/(-10665). Let x = y + g. Find the common denominator of 28\/3 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 79*t**2 - 3*t + 2. Let n be d(8). Suppose 6*w - 2*w - 2*o - n = 0, 2*w + 4*o = 2522. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)\/x)\/(x*x**(1\/8)))**(-13) assuming x is positive.\nAnswer: x**(1339\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1))\/(1 - -1). Solve 3*x - 7 = -z - 0*z, n = -5*z - 2*x - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001001010 - 101010011?\nAnswer: -101110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {u: 2, t: 1, g: 2, o: 1, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:33 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**1*j)*j)**(-22)\/(j**1)**12 assuming j is positive.\nAnswer: j**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/49)\/((-3)\/(63\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*k - 21, 15 = u + 2*u + 2*k. Suppose -u*g = 2*j - 63, j - 3*g = 2*g + 25. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -60359b?\nAnswer: -6035a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 + b**5 + 0*b**5)*(-14 + 23 + 38 + 0 + 0 - 2 + (-2 + 4 + 0)*(3 - 5 + 3)).\nAnswer: -47*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 161?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/3 - 2*w**2 + 2*w. Let k be o(3). Let n(j) = 2*j**k + 2*j**2 + 4*j**2 - 2*j**2. Let h(p) = 2*p. What is h(n(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 66.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 + 26*i + 31. What is the hundreds digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21205529*h**6 - 1215*h**2 - 265*h + 2 wrt h?\nAnswer: 2544663480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(2736) + -3)**2*-3.\nAnswer: -4320*sqrt(19) + 164700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2) - -1) + 2 + 1. Let s be (2298\/8)\/(g + -5). Let y = 97 + s. What is the common denominator of 67\/10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -108. Let n = -117 + w. What is the nearest to n in 0.1, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13321 + -3036?\nAnswer: -16357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -162. Let c be (-40)\/(-2) - (0 + 0). Suppose 7*f + c = u*f. What is f rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332316 is divided by 292?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u, -4*g - 7 = -3*u - 26. Suppose -3*f = -7*f. Suppose -b + f*b = -12. What is the remainder when b is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 72*a**2 + a + 17. Let c be t(-18). Let n(x) be the second derivative of 5*x**3\/6 + x**2\/2 - 6*x. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2. Let x(t) = -1023*t - 4. Let h(w) = -117600*w - 462. Let s(z) = 2*h(z) - 231*x(z). Give s(v(k)).\nAnswer: 2226*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387563770 to the power of 1\/2, to the nearest integer?\nAnswer: 48863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 55. Calculate the remainder when 7\/(-28) - 85\/(-4) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 6 - 3*c + 14.\nAnswer: c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 839*p*s**3 - 16*p*s**2 + p + s**6 - 3*s**2 + 2*s wrt s?\nAnswer: 5034*p + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-9 + 18 - -42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Suppose 0 = -2*j + 26 + y. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*p + 145*p - 342*p - 124 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*c**3*t**2 - a**2 - 8877*c**3*t**2 + 2*c**3*t - 2780*t wrt t?\nAnswer: 4*a**2*c**3 - 17754*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*u - 1167*u - 252 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.1427 (c) 0.06 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218319530.3 rounded to the nearest ten thousand?\nAnswer: 218320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 8*k - 2. Let g = -4 + -3. Let m be n(g). Calculate the lowest common multiple of 5 and (-24)\/(-9)*m\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2567 and 16337?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*n - 20 = 92*n. Solve 0 = -n*u + 4 + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*n - 32, -v - 8*n + 3*n - 36 = 0. Let u = v - -16. Solve 0 = -u*z - 3*o, -2*o + 15 = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6094*u**2 + 8 - 8.\nAnswer: 6094*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 853 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15 + 26*n + 9*n**2 - 39*n + 13*n. Let z(g) = g**2. Calculate k(z(h)).\nAnswer: 9*h**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(12\/3)*12\/((-84)\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -16 - 49 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3465 and 2520?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 - -0.06. Let b = -1.81 + a. Let n = -0.1 + b. Is -0.1 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.75 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/140*-2)\/(2\/7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let a(k) be the first derivative of -35*k**3\/3 - 16. Calculate n(a(x)).\nAnswer: 1225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6)**49)**29 assuming g is positive.\nAnswer: g**8526","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -350, -629, -906, -1181?\n\"Answer: q**2 - 282*q - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/7 > 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 3*g - 1. Let p(m) = 1 - 14*m**2 + 0*m - 22*m**2 + 9*m - 19*m**2 + 64*m**2 + 2. Suppose -4*i - 15 = -47. What is i*w(v) + 3*p(v)?\nAnswer: 3*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = a - 183, 68 + 370 = 5*h - 4*a. Let v be ((-100)\/h)\/((-12)\/27). What is the closest to v in 2, 0, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15435.12 weeks to minutes.\nAnswer: 155586009.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 35238*v - 103476387.\nAnswer: -3*(v + 5873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m**(-2\/5)*m))))**(3\/13))**42 assuming m is positive.\nAnswer: m**(252\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 612\/(-48). Let i = -8 + h. Suppose 0 = y - i*y - 536. Round y to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*g + 26 - 169 - 54*g to the form r + p*g and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*z - 648*z**4 + 652 + 7*z - 10*z + 635*z**4 wrt z.\nAnswer: -52*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 11*i**2 + 9*i - 9. What is t(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + p = -1086, -4*n - 22*p + 26*p = 24 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1253*n**2 + 4*n + 4. Let o(v) = 1253*v**2 + 3*v + 3. Suppose 3*j = 9 - 21. Let g(p) = j*x(p) + 5*o(p). Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075192 divided by -1?\nAnswer: 1075192","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:58 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*c - 11630 = 0, -2*c - 2961 - 2866 = -k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 10*n**2 + 12*n. Let s be u(8). Suppose -13*k + 4023 = 4049. Let r be (-52)\/156 + (s\/3)\/k. Sort 0, -3, r.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-44 - -4652)\/((-12)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 + -0.301. Let g = y - -0.03922. What is g rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 31*k**2 + 4*k - 248. What is v(-30)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23 - 10*h**3 - 5*h**5 + 71*h**2 + 35*h**3 + 25*h**4 - 263*h - 57 - 196*h**2 + 63*h.\nAnswer: -5*(h - 4)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32423411 (base 6) to base 9\nAnswer: -1734277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187441039*j**2 + 449735435?\nAnswer: 374882078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*d + 16*d - 80*d - 3*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4 - 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 15. Let u be (-1)\/((-56)\/(-48) - 8\/(-6)). Which is the closest to f? (a) 0.2 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32 and 0.9.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5391837, -5391848, -5391869, -5391906, -5391965, -5392052, -5392173?\n\"Answer: -f**3 + f**2 - 7*f - 5391830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 11) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 8. Let c be j(12). Let k = 20 + c. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(192) + -1*sqrt(192)))\/(sqrt(12)\/sqrt(2)*3 - (sqrt(600) + (1*sqrt(600) - sqrt(600)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/3)\/f))\/f)\/(f*f\/(f*f*((f*f**37)\/f)\/f)) assuming f is positive.\nAnswer: f**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -15*i**5\/4 - 155*i**4\/2 - 335*i**3\/4 + 660*i**2 - 115*i - 380 = 0.\nAnswer: -19, -4, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/(12\/3) + 0 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.9 - 29.38. Let c = f - 2.92. What is the closest to -7\/5 in -4, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = o + 3, -2*a + 2 + 4 = 4*o. Suppose 3 = 4*x + y - 3, -2*x = -5*y + 8. What is the remainder when a is divided by (-1)\/2*-2*x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 4, -30, -98, -206?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(-4 + (-3*sqrt(176) - (-1 + (sqrt(275) + -1 - sqrt(275))))**2).\nAnswer: -144*sqrt(11) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*i + 1222*i + 2501*i + (3*i - 4*i - i)*(-2 + 3 + 0).\nAnswer: 3773*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u = 1571 - 129 + 178 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4\/27 (b) 21 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (0 - 3 + 2)*(2 - 3 - 1) + 91 + 45 + 21 + 28)*(-1 + 1 + 2*s**2 - 2*s**2 + 2 - 2 + (3 + 2*s - 3)*(0 + 0 + 2*s)).\nAnswer: 756*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -63, 3, -3, -657 in increasing order.\nAnswer: -657, -63, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 381*y**3 + 18*y - 20. Let a be o(7). Suppose -3*m - 9611 = a. Round m to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*y**5 - 4*y**4 + 9*y - 36?\nAnswer: -2840*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40218 is divided by 2375?\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:59 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z**3 - 4*z - 3. Let a be f(-3). Let m = a + -8894\/19. Let d = -5 + 4.9. What is the nearest to d in 1, m, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (0\/3 + -1). Let q be (0\/n)\/(1 - -1). Find the second derivative of 5*c + 4*c**5 + q*c**4 + 0*c**4 - 3*c**5 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, e: 5, p: 1, h: 1}. Give prob of picking 2 v and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3*k**5 + 4*k**3\/3 - 4. Find the third derivative of i(t) wrt t.\nAnswer: -360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 3*d + 7. Let h be (-1008)\/210 - 8\/(-10). Determine f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -10*r + 13*r, -2*r - 5*b + 24 = 0. Let j = -0.4 + 0.3. Which is greater: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esbbbqqqbs. Give prob of picking 2 q and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 8732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 7:48 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5088 divided by 53\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -175. Let h(y) = 3*y**3 + 5*y**2 + 7*y - 5. Let p(m) = 3*m**3 + 6*m**2 + 8*m - 6. Determine v*h(i) - 5*p(i).\nAnswer: 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*y + 26, -m - 2*y + 40 = -4*m. Let z(t) be the first derivative of -11*t**2\/2 - 15*t - 90. What are the prime factors of z(m)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/1)\/(1*(-5)\/15). What is the greatest common divisor of 2420 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 395410453 and -0.24?\nAnswer: 395410453.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -15, -14 in descending order.\nAnswer: 0, -5, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**3 + 15*h**2 + h - 21. Let t(w) = -2*w**3 + 3*w**2 - 4. Determine -2*b(z) + 11*t(z).\nAnswer: 4*z**3 + 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 14. Calculate the remainder when 61 is divided by d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 + 17*i**2 + 2*i + 9. Let o(c) = -c**3 - c**2. Let m(d) = -4*o(d) - q(d). List the prime factors of m(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5.8. Suppose 0*f - 32 = 3*v - 2*f, -v = 2*f + 16. Let p be (-12)\/8*2\/v. Which is the closest to t? (a) -2 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02519114 to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10997 - -69aa?\nAnswer: -4a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 84. What is the least common multiple of 18 and y*((-6)\/(-48) + (-115)\/24)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4691 = -p, m = -2*p + 39 + 1139. What is the remainder when m\/20 + (-6)\/(-15) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/7 (c) -0.108 (d) -0.063 (e) 2\/7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let t(k) be the second derivative of 43*k**4\/12 - 3*k + 16. Give t(d(b)).\nAnswer: 172*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24034421 + -10?\nAnswer: 24034411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17570*y = -16351*y - 1219 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 3482*v + 55200.\nAnswer: 2*(v + 16)*(v + 1725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775691?\nAnswer: 19, 139, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184506 is divided by 1507.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 101003441?\nAnswer: 101003445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -9*u**4\/2 - 37*u**2 + u - 14. Find the second derivative of y(j) wrt j.\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -20*s - 2\/9*s**3 + 102 + 11\/3*s**2. Determine u so that j(u) = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200991 by 28713.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.07104, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwtottllwlfwwflflol?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854\/3 greater than -952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 26. Calculate the remainder when (10\/(80\/(-218)))\/((-7)\/28) is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m**3 + m**2 + 5*m + 7. Let i be 3\/24 + (-4470)\/48. Let d = i + 91. What is the tens digit of t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 0.36. Let c = 4.2 - 2.2. Suppose -5*l + 2 + 3 = 0. What is the closest to l in -2, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 26. Let p be c(14). Let r(w) = w**3 + 8*w**2 - 10*w + 16. Let y be r(p). What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 10) in base 14?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = o - 61. Let c = -51 + o. Suppose -3*r + c = -0*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2033 + 2037. Solve -6*x + 2 = -t - s*x, 3*x = 3*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 97 - 41 = -2*i, 3*z + 69 = -3*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -12.3. Let m = -514 + 526. Let y = i - m. What is the nearest to y in 0.5, -7, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -7183\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 4*y + y**2 + (-5*y + 4*y - y)*(2 - 3 + 2)*(0*y + 6*y + 3*y) as j*y + m*y**2 + w and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 2, c: 1, m: 2, p: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*5988\/(-40) + ((-175032)\/(-544))\/429.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 356 + 4?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 377.42 - 375. Let z = -2.82 + k. Put z, 0.1, 3, -0.5 in decreasing order.\nAnswer: 3, 0.1, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2899888 (base 10) in base 15?\nAnswer: -3c435d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1+-6200254\nAnswer: -6200253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 210 + 0 = 0. What is the remainder when ((-5)\/(-3))\/(f\/657) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803012 (base 9) to base 13.\nAnswer: 13802c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2203 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = u - 13, 14 = 2*r - 4*u. Suppose -r*x = -x - 24. Suppose 2*z = x*z - 68. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/690*-85 + 10 + 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 7. Let o be (-1)\/(-2) - (f\/(-8) - 2). Which is the second smallest value? (a) -1\/5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 18574, -20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3\/2, 21, -1257, 0.1, 3 in descending order.\nAnswer: 21, 3, 3\/2, 0.1, -2\/3, -1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4 = 5*w - 8, -5*w + 17 = 2*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 534*n - 531*n + 3*w - 33, -n - 7 = -5*w for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72127 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from iiiiuiiiiuiiiiuuii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.795 and -3674.\nAnswer: -3709.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 11*d**2 + 10*d - 6. Let r be o(-10). Let b(f) = -6*f + f**3 + 5*f**2 - f - f - 9. Let x be b(r). Is x less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2362\/13 - -38949\/208. Let v(r) = r**3 - 9*r**2 + 11*r - 6. Let o be v(8). What is the common denominator of b and ((-22)\/4)\/(14\/o)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2928)\/360 - 4\/(-30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/8 + 1)*(-96)\/(-9) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 - 6*k**2 - 4*k - 15. Let w(l) = 15*l**3 - 12*l**2 - 9*l - 31. Let b(x) = -13*r(x) + 6*w(x). Let d be b(6). Sort 1, d, -1.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/92? (a) -4 (b) -0.07 (c) -1 (d) 2\/5 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:06 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 242, 240, 238, 236, 234, 232?\n\"Answer: -2*m + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and ((-8)\/(-6))\/((-176)\/(-20460)).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14689*j + 7247*j - 9*j**2 + 7296*j.\nAnswer: -9*j**2 - 146*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/(-6)*(-176)\/5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = j - 6 - 30, 6*s - 143 + 301 = 4*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 522 = 4*g - g, 5*c + 870 = 5*g. Let r = 411 - g. Suppose -r = -7*s + 12370. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {v: 3, s: 5, w: 1, z: 1, n: 4, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 + 219. Solve 4*k = -4*u - 24, -6*u - 13 = -2*k - y*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1972\nAnswer: 394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 - 1 = 0. Let r(s) = 6*s**t - 5*s**2 + 0*s**2. Let z(v) = -v. Calculate r(z(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*j**3 - 2*j**2 + 33*j**3 - 11*j**4 + j + 13*j**4 - 1 in the form h + s*j**3 + x*j**2 + o*j + c*j**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-160))\/((64\/224)\/(8\/14)).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16157, -32368, -48577, -64784, -80989, -97192, -113393?\nAnswer: -129592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/5 + 48808*w\/5 + 148888804\/5 = 0 for w.\nAnswer: -6101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85112*m**2 - 85113*m**2 + 6 - 43*m + m to a*m + g*m**2 + r and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.04 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8505670*p**2 - 10024652.\nAnswer: 17011340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -908, -1.3, -36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 16*u. Let n be a(16). Let w = 43 - n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 108. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = 69*t - 12*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81689879 a multiple of 2376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 48060 - 49464 = 18*c for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))\/m)**(26\/3)*m*m\/(m\/(m**(-17)\/m))*m**(1\/29) assuming m is positive.\nAnswer: m**(-722\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/112*(-45)\/9.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.2*65457\nAnswer: -471290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 4*u**2 + 2*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 589 (b) -1\/6 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4023?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/6 + (-2)\/(-4). Let l(r) = -88*r**3 + r**2 + 3*r + 2. Let n be l(m). Let p = -35 + n. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 3*p + 3*p + (2 + 3 - 4)*(-2*p**3 + 0*p**3 + p**3))*(p - 4 + 4).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**4 + 6*l**4 - 9*l**4 + (0 - 2*l + 0)*(l**3 + l - l) - 2*l**4 + 2*l**4 - 2*l**4 to the form o + b*l + w*l**3 + t*l**4 + q*l**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 3*c**3 + 3*c**3 + (0*c + 0*c - 2*c**3)*(-3 + 1 + 1).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 312365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 13. Solve 2*f + 3*q + 3 = 0, 0 = -4*f - q - c + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.921 - -0.079. Let p = 32.9 - w. Let l be -2 + (-22)\/(-10)*1. Is p at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 + a**3\/3 - 13*a**2. Let l be d(1). Find the third derivative of -q**l + 49*q**2 - 53*q**2 + 5*q**3 + 3*q**3 wrt q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/376575 and -7\/75315?\nAnswer: 376575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 2\/7 (b) -44\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, -3 in descending order.\nAnswer: 23, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 45*q**2 + 683*q - 1401. Let v(b) = -16*b**2 - 228*b + 468. Let k(a) = -4*f(a) - 13*v(a). Solve k(u) = 0.\nAnswer: -10, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*m + 20. Let f be (-94)\/8 + (-5)\/20. Calculate the remainder when 78\/f*12\/(-2) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 312*s**2 - 319*s - 196. Calculate the least common multiple of t(-105) and 1120.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*k - 4*r - 5, 0 = -5*k + 4*r - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388739 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + 3.6. Suppose 0 = -5*q + t - 19, -q - 3*t - 11 = -5*t. Put q, 0.1, f in ascending order.\nAnswer: q, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 3100.9?\nAnswer: -3100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*i - 0*i. Suppose 4*c - i = -4*k, 0*k - 4*k + c + 4 = 0. What is the least common multiple of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/42 and 3560\/(-672)*8\/40.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1611\/16 and -101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 166963?\nAnswer: 834815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*g + 11*g**2 - 198*g**3 - 3*g**2 - 1 - 7*g**2 + 395*g**3 - 195*g**3 as w*g**3 + m*g + y*g**2 + h and give m.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-6))\/y)\/y)\/(y**(2\/13)*y)*y*y**(-4\/7)*y*y**(6\/5) assuming y is positive.\nAnswer: y**(-2514\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 347*u + 28. List the prime factors of q(4).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60480*n**3 - 26*n**2 - 51*n.\nAnswer: -362880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 14*n - 113. Calculate p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 - g**2 + 2*g - 2. Let t be c(1). Suppose -4*s + t*w = -0*s - 52, 3*w = 2*s - 23. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*c + 28, 2*c + c = 5*n + 14. Let i = n + 6. Differentiate 0 - v - i + 4 wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9660 - -6a9?\nAnswer: 9d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*o = -94*o + 12708. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/3 + 2\/1. Solve 0 = f + r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dqddu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l + 90*l + 107*l + 21*l as q + w*l and give w.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 14 + -48 - -23 - -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 1 - (-17 + 23 + -3)) + -7 - -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -1\/3, 71, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 0*l**2 - 2*l**2. Let g(s) = 9*s**2 - 17*s. Let f(k) = k**2 - 2*k. Let d(h) = -51*f(h) + 6*g(h). Determine d(i(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*y**3 - 14 + 27 + 16 wrt y.\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 0. Let x = h + -4. Let p(b) = -b**3 + 3*b**2 - 2*b + 2. What is p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1349707*c*z - 15927855*c + 3*z with respect to z.\nAnswer: 1349707*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5899867 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/62 (b) 5 (c) -3\/4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5107, -1, 3, -5, 0.\nAnswer: -5, -2, -1, 0, 3, 5107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -143*x**2 - 1. Let f(d) = -d. What is z(f(m))?\nAnswer: -143*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/4 - 5153*w**3\/2 - 41205*w**2\/4 + 7731*w + 46359 = 0.\nAnswer: -10302, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w + 14*w + 51*w**4 + 9*w wrt w.\nAnswer: 612*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 26897 = 2*y, 2*y - a = a + 26896. Does 202 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Let m(z) be the first derivative of -z**3\/6 - 2*z + 2. Let h(j) be the first derivative of m(j). What is h(c(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*k**3 + 479*k**3 - 78689*k**2 + 78668*k**2.\nAnswer: 394*k**3 - 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684844 less than 10139548?\nAnswer: 3454704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50063126339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 35 - 15 - 4*x**2 - 5*x - 18 + x**3. Let t be n(5). Factor t*h**2 - h**2 + 3*h**2 + 12*h.\nAnswer: 4*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-2*s**3 - 5*s**3 + 4*s**3) + (-2*s + 4*s - s)*(-8*s**2 - 2*s**2 - s**2) to the form m*s**3 + b*s + d*s**2 + t and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + 12120?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -244010 (base 5) in base 14?\nAnswer: -3531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/(sqrt(24)\/sqrt(75)).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-2)\/sqrt(9)*4.\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12396, 24794, 37202, 49626, 62072, 74546?\nAnswer: 87054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2492*k**3*l**2 - k**3 - 5*k**2*l + k*l - 36*l wrt l?\nAnswer: 4984*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3064?\nAnswer: 3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8028387 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: 586b (base 12) to base 9\nAnswer: 14482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-38))**(6\/7))**(4\/23) assuming s is positive.\nAnswer: s**(-912\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24634845, 24634848, 24634851?\nAnswer: 24634854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*h = 3*h. Suppose -q + h*q = 2*j - 607, 2*q = 2. Calculate the remainder when j is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 901*q - 3599. Give h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/18*(-2)\/(-6). Solve 3*c + o*c = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a5a (base 13) in base 9?\nAnswer: 48546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 58 = -z, -4*z - 3*x + 0*x + 157 = 0. Let m = 44 - z. Which is smaller: m or -7\/23?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -110*l - 1\/48*l**4 + 13\/12*l**3 + 0*l**2 + 0. Factor n(d).\nAnswer: -d*(d - 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiih when four letters picked without replacement from {h: 1, g: 5, i: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**2\/2 + 3*q - 6. What is the smallest common multiple of g(3) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 5. Let k be a(-9). Find the first derivative of 3*p**4 + 3 - p**4 - 2 + k wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-940)\/(-2115)*(-8)\/(64\/12)*18\/528?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 74. Let w = 576 + k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 4. Let q(d) = -4*d + 3. Calculate 4*q(n) + 5*s(n).\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2. Let l(h) be the first derivative of 0*h**3 + 0*h - 3\/2*h**2 - 1 - 1\/4*h**4. Let r(y) be the second derivative of l(y). What is v(r(k))?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -50*r - 1. Let f(m) = -m**2 + 21075*m + 2. What is o(f(q))?\nAnswer: 50*q**2 - 1053750*q - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:47 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 6*f**2 + 2*f - 8. Give u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/424 and -68\/95347689.\nAnswer: 762781512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 d, and 1 a when four letters picked without replacement from {d: 8, j: 3, a: 6}?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/12 + (-55)\/(-330). Suppose l + 5 = -5. Let j = -6 - l. Solve 15 = j*g + 5*c, -2*g - a*c = -1 - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 25 = 7. Suppose 11*f - 1136 = k*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -3\/2, 1\/8 in ascending order.\nAnswer: -4, -3\/2, 1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(29\/26 + -1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0*g**2 - g**2 + g - g**2. Let s = -815 - -814. Determine r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658658 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: In base 2, what is -10 - 111010010110001?\nAnswer: -111010010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 700 = 5*a, -x = a + 3*a - 561. What is the tens digit of 3\/(-6) - a\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + -2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.5 - 42. Let i = j + -7.8. Let k = i + -1.7. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {j: 3, e: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 31*y + 88. Determine w(-30).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 12:26 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428 - 331 - 522 + 244)*(-g - 4 + 4).\nAnswer: 1037*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 8*t - 8. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (9 - (2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 6 = -2*a, 59*a - 6 = 55*a + 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*c - 8*c. Let h = 11 - c. Suppose -2*b - 5*f + 10 = 0, f - 18 = -h*b - 0*f. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5709400*f + 79931605. Give i(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Suppose -9 = y*n + 1. Calculate the remainder when 8\/(-6)*33\/n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -37. Let k = -51 + r. Let b = 59 - k. What is the highest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -4. Let d be z\/(-4) + (-5)\/(-10). What are the prime factors of 30*(d\/(-4) + 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 50 = 2*f + 2*f, m = 2. Let z be (-6)\/f - 4\/10. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*2811\/6559.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 74*n - 100. Calculate h(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/3)*g)**50*(g\/(g**8*g))\/g**(-1\/18))**(-3\/13) assuming g is positive.\nAnswer: g**(-1057\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*70\/23205*-17.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.369 + -1.369. Which is the biggest value? (a) s (b) -59\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 16*c = 0, -4*x - 51*c = -55*c + 40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - (-41)\/5. Calculate the lowest common multiple of (-2 - -2) + g*8 and -12 - -28 - (-1 - 1).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 429*m - 423*m - 18941 = -267*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*m = -327*m + 52680. What are the prime factors of m?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1530)\/(-5160) + 4\/(-86))*2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11356 (base 7) in base 3?\nAnswer: 11000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30850 and 7654502?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -131, -108, -67, -2, 93?\n\"Answer: a**3 + 4*a - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 1. Let r be t(-1). Let q be 114 - (r + (5 - 3)). Suppose 0 = 3*m - q - 27. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (2 - 2))\/((-3)\/(-2)). Let g(t) be the second derivative of -4*t + 4\/3*t**3 + 1\/12*t**4 + 0 + 3*t**n. What is g(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(242)*4 - sqrt(242)) + sqrt(242) + (-1*sqrt(242)*3)**2 - -4*(2*1*sqrt(242) + 2)**2)*1.\nAnswer: 297*sqrt(2) + 6066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 15. Let x be b(-16). Let l(d) = 10*d - 6. Let n(p) = -2*p + 11 - 10 + p. Let w(g) = x*l(g) + 2*n(g). What is the derivative of w(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1692 - -1827. Sort b, -3, 4.\nAnswer: -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h. Let q(o) = -178*o**2 + 2. Calculate p(q(s)).\nAnswer: 2136*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m**(1\/2)\/m)\/m*m)))**(-4)\/(m**(3\/26)\/(m*m**(-28))) assuming m is positive.\nAnswer: m**(-653\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.4308l to millilitres.\nAnswer: 79430.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 5 + 2 - 1. Let b be (-20)\/8*p\/(-2). Let t be 6\/10 - (-2)\/b. Let c(m) = -4*m. Calculate c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12822.73 - -12464. Let n = h + 386.6. Let l = 28 - n. Round l to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Suppose 5*c = g + 43 - 72, 0 = 5*g + 2*c - 10. What is the third biggest value in g, l, 0.5, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1133, 5, 2 in ascending order.\nAnswer: -1133, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13852*o + 76209 = -17481*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12220 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {e: 3, v: 1, s: 6, c: 5, l: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22f (base 16) in base 8?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5717329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 7*k - 8. Let i be l(-6). Let w = -18 - -91. Let t(j) = 2*j**2 - 3 + w*j + 3 + 1 - 72*j. Give t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 122040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92432539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + z = -22, 2*s = -2*s + 4*z + 40. Suppose 2*j + j - s = 0. Suppose -d = -0 + j. Let l(v) = -v**3 - v**2 + 2. What is l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5088 - 5060 = -7*j. Let r(n) = -3*n**3 + 4*n**2 + 3*n + 2. Let u(i) = 8*i**3 - 11*i**2 - 9*i - 6. Give j*u(g) - 11*r(g).\nAnswer: g**3 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11403*t = -709242 + 70674 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50708 divided by 2?\nAnswer: -25354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) + sqrt(114) + (sqrt(114) - -5*2*sqrt(114)))*1)\/(((sqrt(216)*-2 - sqrt(216))*2 - sqrt(216))*-6).\nAnswer: -65*sqrt(19)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*q + 41 - 337 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*u + 93*u - 924 = -130*u - 125*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 6\/5*b**2 + 2\/5*b**3 + 6\/5*b.\nAnswer: 2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20021012112 + 2210?\nAnswer: 20021022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -13*o**6\/10 + o**3\/6 + o**2\/2 + 54*o. Find the second derivative of d(l) wrt l.\nAnswer: -468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42748*v - 43122*v = 20944 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*b**2 - 300*b**2 + 541*b**2 + (2 - 1 - 2)*(b**2 - 5*b**2 + 5*b**2).\nAnswer: 146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413582412 to the power of 1\/2, to the nearest integer?\nAnswer: 58426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**3 - 2*w**2 - 1. Let f be n(2). What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 22699?\nAnswer: -1\/22699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 5*v - 7. Suppose -3*w + 2*m = 13, 4 = -w + 5*m - 4*m. Is 17 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 324*l**4 + 17235*l**3 - 75290*l**2 - 128604*l + 186984 = 0. Calculate l.\nAnswer: -371, -2, 1, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 950644 (base 12) to base 13\nAnswer: 640c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 1. Let r(f) = 24*f**2 + 7*f - 6. Let h(c) = -5*i(c) + r(c). Is 20 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose -j*y + 37699635 = -8*y. Let n = y + 12939927. What is n rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 - 4 + 4 + 29*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480906 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4080 and 14712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:34 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 16. Let r(y) = 6*y**3 - 6*y**2 + y + 1. Let o(a) = -a**3 - a**2 - a - 1. Let t(n) = x*o(n) - r(n). What is the third derivative of t(k) wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.53 - -0.03. Let w = -0.3 - t. Which is smaller: w or 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 6*t**2 + 5*t - 3. Let y be u(-5). Let q be -5 + 4 + 7 - 6. Let m be (-6)\/9*(y + q). Solve -m*i - 16 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 2. Let r(i) = 7*i + 1. What is -3*l(u) + 4*r(u)?\nAnswer: 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(605) - (sqrt(605) + 0))**2 - 2*(sqrt(605) + -3)**2.\nAnswer: -1228 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 156.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 27*m - 29. Let n be t(32). Let j = -140 - n. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*v - 33, -2*j - 103 + 101 = -2*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/42 + n**6\/6 - n**5\/10 - 7*n**4\/6 + n**3\/2 + 9*n**2\/2 + 2*n + 62. Solve h(k) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 344.072212.\nAnswer: -327.072212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3 - 1 + 3 - 1. Let b(s) = -s + 9. Let x(w) = -4*b(w) + 9*p(w). Let c(d) be the first derivative of -d**3\/3 + 1. Determine c(x(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 40. Let i = 61 - b. Let w = i + -57.0106. What is w rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6482 - -6485. Let g(i) = -i - 2. Let d be g(-4). What is the second biggest value in 1, d, -5, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22*g**3 - 8*g. Let s(z) = -3*z**3 + z**2. Let k(d) = -3*m(d) - 21*s(d). Factor k(l).\nAnswer: -3*l*(l - 1)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 103, -18, -290\/9, 2\/3?\nAnswer: -290\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (100 - 98 - (14 - 3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t + t + 2*t)*(4 + 4 - 6) + (3 - 2 - 3)*(-4*t + 0*t + 2*t) + t + t + 0*t + 3*t - 5*t + t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 352207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723485084 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let t be v(-1). Suppose 3*q - t*q = 17. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5755 + 5759. Let f be -2 + (-1 - -5) + 2. Let k(m) = 2 + f*m**2 - 7 - 2*m - 3*m. Let n(w) = 3*w**2 - 4*w - 4. Determine i*k(u) - 5*n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3857 and 8341.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b + -6c828?\nAnswer: -6c9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 211774, -4, 0 in ascending order.\nAnswer: -4, 0, 72, 211774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-1 + 1 + 4*d**2)*(-933 - 68*d + 933).\nAnswer: -544*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394938?\nAnswer: 2, 3, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038192667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - s + s. Let r be 10\/14 + (-8)\/(-28). Let p(v) = -1 - 2*v + r. Give p(y(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 52 - -22 - (-31 + 11)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 5. Let v be u(-4). Let r be (-8)\/(-2) + (-2)\/v. Let b = 1.2 + -1. What is the closest to r in b, -1\/4, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82312677 to the nearest integer?\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49786860, 49786865, 49786872, 49786881, 49786892?\n\"Answer: u**2 + 2*u + 49786857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 91 = -x, 3*x - 2*m = -213 - 77. Let l = -172 - x. Is 15 a factor of 15 - 13 - (1 + l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 6*r + 340 = -39*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5084835 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*x - 98*x + 27 - 685*x - 27 + (6 - 3 - 1)*(0*x - 16*x + 3*x) in the form m*x + g and give m.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o, -7*o - 5 = 5*f - 5*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let a = -5770 + 5765. What is the closest to 0.1 in 14, -0.1, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384\/336)\/((-8)\/6).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/126)\/(21\/(-12)). Let u = -19\/147 + d. Is u less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 19*n**2 + 33*n - 10. Let u be t(-7). Solve -8*k = -12*k + u*r + 24, -k = 3*r + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 44*u + 94*u - 34*u)*(3*u - 5*u + u) + 4*u**2 - 3*u**2 + 2*u**2.\nAnswer: -13*u**2 + 46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(4752)*2 - sqrt(4752)) + sqrt(4752) - sqrt(33)) + (sqrt(297) - sqrt(297)*2 - sqrt(33)))\/(((sqrt(48) - sqrt(3))*3 + sqrt(3))*-1))**2.\nAnswer: 3971\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 35 = 4*u. Put u, 4, 2 in decreasing order.\nAnswer: u, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h - 59*h**2 + 9*h)*(-4 + 4 + h**2)*(-8*h - 4*h - h).\nAnswer: 767*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2 + 19*l + 13. Let i be s(-8). Suppose -p + 3 = -0*p. What is the greatest common factor of p and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 147*j + 70*j + 74*j = 178, 5*w - 236 = -3*j for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2343, 2349, 2373, 2427, 2523, 2673, 2889?\n\"Answer: 2*t**3 - 3*t**2 + t + 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 6767*t**2 + t - 6760*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-148216*w**2 - 1019*w**3 + 148216*w**2)*(-2*w + 1 - 1) in the form h*w**4 + c*w**2 + f + n*w**3 + a*w and give h.\nAnswer: 2038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -39553901?\nAnswer: -1\/39553901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3217, 3237, 3271, 3319, 3381?\n\"Answer: 7*z**2 - z + 3211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -157\/18, 6\/11 in increasing order.\nAnswer: -106, -157\/18, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*x + 27, 4*u + 10*x - 32 = 15*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108.91 - -1.09. Let j = -109.99999916 + s. Round j to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99049, -197661, -296261, -394843, -493401?\nAnswer: -591929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {b: 2, l: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 121, 4, -4 in ascending order.\nAnswer: -4, 0, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 7, s: 5, b: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/7, 0.095 in decreasing order.\nAnswer: 3\/7, 0.095, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 3, g: 4, b: 4}. What is prob of sequence gqg?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*v + 39 = 0, 4*z + 3*v - 18 = z. Let p be (-2)\/6 + z\/3. Suppose 0 = p*r + 2*r. Solve 2*m = -10 - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:16 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5, 77 = 5*u - 5*q - 88. Let y = 50 - u. What is the least common multiple of y and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - -100?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + b**2 - 6*b - 5. Let k be t(-2). Let j(y) = -y**2 + 4*y + 4. Calculate j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 2}. Give prob of sequence mzm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (18 - ((8 - 9) + 14) - 16)) + 57\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245017*a*i**3*y**2 - 2*a*i**3*y - 2*a + 2*i**3*y**2 + 7411*i**3*y wrt y?\nAnswer: -490034*a*i**3 + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 148\/(-24) + 17\/(-6). Let p(l) = -4*l**2 - 13*l - 1. Let m be p(b). Solve 20 = 4*j - m*v, -3*j + 7*j = 3*v + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 0 - (-2386 - -2389)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 593737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*g + 6 + 16 = 0, 0 = -5*o + 4*g - 41 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0 in descending order.\nAnswer: 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*x + 1005 = 156 - 401 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 5*o, 5*t + 29 = 4*o. Suppose 0 = -4*s + 5*s - 5. Let f = -4.5 + 4. Which is the closest to 1? (a) s (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 3*d + 15*d + 288 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119b82 (base 14) to base 7.\nAnswer: 5061422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1300) - (sqrt(1300)*3 - sqrt(1300))) - (0 + sqrt(208) + 1))**2.\nAnswer: 28*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68754\/(-12)*16\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2. Let v(y) = -64*y**2 + 1. Give b(v(t)).\nAnswer: 106496*t**4 - 3328*t**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -193*v + 5951. Calculate the lowest common multiple of 945 and z(23).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.973481 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40192597 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15)*115\/(-161)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - 138. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22609479 is divided by 1306.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 31, 88, 197, 376, 643?\n\"Answer: 3*z**3 - z**2 + 5*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 308603692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 0*b + b)*(-1 - 1 - 1)*(-2*b - 1 + 1) in the form n*b**2 + z + f*b and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274315*c - 273262*c + 77922 = 0 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -3. Let q = b - 0.6. Let l = 42 + -41. Sort q, l, -1\/3 in decreasing order.\nAnswer: l, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 9\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.236 to 0 decimal places.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20 - 30 - 26 + 35 + 36 - 6*g**2. Let w(h) = 11*h**2. Determine c(w(d)).\nAnswer: -726*d**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 10, -12 in decreasing order.\nAnswer: 10, 0.1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - (-17 - -5 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*n = 4*n - 86, 4*v - 2*n = 160. Suppose 2 = 3*t + 2*k - 101, -t = 4*k - v. What is the remainder when 129 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 9513\/8*s**2 + 1755\/8 - 49\/8*s**3 + 8181\/8*s = 0.\nAnswer: -3\/7, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 + 32. Let n = 69 + o. Let a = n - -37.9999998. What is a rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.328550721 to 4 decimal places.\nAnswer: 0.3286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 5}. What is prob of picking 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 60065*n - 420406.\nAnswer: -(n + 7)*(n + 60058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(4*(-5)\/(390\/6)) - 11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -442.83 * 72.6\nAnswer: -32149.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**3*r - 68*f**2*r**2 - 124*f + r**2 + 41 wrt f.\nAnswer: 66*f*r - 136*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19303733 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 2*i**2 - 3*i - 2. Let j be (5\/3 + -1)*-3. Calculate the lowest common multiple of 4 and t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 84, 206, 378, 600, 872?\n\"Answer: 25*k**2 - 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -1\/12*j**5 + 1\/90*j**6 + 0*j**2 + 2\/9*j**4 + 0 - 2\/9*j**3 - 3*j. Determine g, given that q(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -9859.\nAnswer: 12\/9859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 less than -39168196972?\nAnswer: -39168196972.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/22 and -71\/1382076.\nAnswer: 15202836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102983, 102994, 103005?\nAnswer: 103016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328080?\nAnswer: 2, 5, 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 0. Let d = -7 + 11. Let b = d + x. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15751, -15752, -15753?\nAnswer: -15754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*a + 70, -5*n - 5*a - 1 = -71. Suppose -9*i + 158 = -76. What is the remainder when i is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 662?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:54 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 381 = -54. Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-7)\/28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose -4*g + 55 + 17 = 4*a, g - 18 = -i*a. Suppose 0*p + p = 8. Calculate the smallest common multiple of g and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 1030*t + 614*t to p + w*t and give w.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*1)\/(-2 + 1). Suppose 6*s - 8 = 4*s. Suppose 2*d - s*d = -8*d. Sort w, d, 1 in ascending order.\nAnswer: w, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:26 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**5*i*i*i)\/i*i)\/((((i\/i**(-43))\/i)\/i)\/i))**21 assuming i is positive.\nAnswer: i**(-693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 3*x - 16 = 0, 0 = 3*k + 3*x - 18. Let a(t) be the first derivative of 2\/9*t**k + 1 + 0*t - 1\/18*t**4 + 2\/27*t**3. Factor a(y).\nAnswer: -2*y*(y - 2)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179917426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 6. What is the remainder when 113 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10516?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n + 2*n)*(-2*n**2 - n**2 + 2*n**2)*(-3*n + 3*n + n**2) + (-2*n**3 + 2*n**3 + n**3)*(4*n**2 + n**2 - 3*n**2).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -45*y - 43*y + 87*y. Let m(j) = -3*j**2 - 383. Give m(a(c)).\nAnswer: -3*c**2 - 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.4 (b) 3 (c) 0.5 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -1 (b) -12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257039*j - 82949*j - 39649*j - 585508*j.\nAnswer: -965145*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let w(a) = 2*a. Let i(v) = -v. What is r*i(p) - 5*w(p)?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -1\/64, 0.3, -8?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - (-817)\/(-57)) + 1 + (-31922)\/(-6).\nAnswer: 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33299\/(-1407) - (-25 - -1) - (-34)\/(-120).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 4451*v**4\/4 - 3096*v - 2142. Find the first derivative of p(c) wrt c.\nAnswer: 13353*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -4 (c) 108.63 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7990761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 648378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by (9\/12)\/((-1)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 44*l - 4*l - 9930. Calculate the remainder when 583 is divided by l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 + 268. What is the remainder when i is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 126. Let o = m + -67. Let z = o - -24. Calculate the least common multiple of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/6)\/((-1)\/(-26)). Suppose 3*l - n = 17. Suppose -l = 5*z - 0, d + 5*z = -3. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4973405 and -109\/2360.\nAnswer: 39787240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/3 - (-10508684)\/321?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {q: 4, c: 2, x: 1, z: 2, e: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309580861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -5. Let i = x - 20. Let m = -2 - i. Solve -r = 2*d - 1 + m, -r - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.05 (b) -0.2 (c) -3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 726383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/15652872 and -43\/15652872.\nAnswer: 15652872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(162) + 0 - sqrt(162)) - sqrt(162))*4 + -1*(2*sqrt(12)*1)\/sqrt(6).\nAnswer: -38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18404, 36798, 55190, 73586, 91992?\n\"Answer: t**3 - 7*t**2 + 18408*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -54, -74, -80, -66, -26?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 138152067.\nAnswer: 138152066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5479023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.068 (b) -145 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70182*-7559\nAnswer: -530505738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110585)\/(-5204))\/((10\/8)\/(-1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*c - 95?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**17)\/u**(-10))\/(u**(-16)*u\/(u**(-4\/11)\/u)))**(1\/8) assuming u is positive.\nAnswer: u**(469\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332212220537260 - 1.\nAnswer: -332212220537261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 176 = h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19012 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -7) + 7 + 5 + -3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -3. Let f be (-15)\/(-2)*z\/12. Calculate the highest common factor of f and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 68*i + 3. Let u be p(23). Suppose 10259 = u*f - 1935. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 86. What is the least common multiple of 213 and u?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/9*615\/25. Suppose j*s - 4132 - 15507 = 0. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*u = 3 - 23, 0 = u + 1. Suppose -107 = -m*k + 201. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04041 - -5.\nAnswer: 4.95959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -1 - (28 - 25 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135653*m**2 + 2*m - 24824.\nAnswer: 271306*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14295*p = -15017*p + 85918 for p.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*m**2 - 40*m**2 + 3*m**6 - 1018*m**4 - 228*m**2 - m**6 wrt m?\nAnswer: 240*m**3 - 24432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 13 - 8*f + 3*f + 7*f as c + t*f and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -25 - 2*x + 7*x + 54 - 38. Let z be u(7). Suppose -5*b - 115 = 5*v - 505, 0 = 3*v + b - 234. Calculate the greatest common factor of z and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 611\/9193 - -35086519\/2537268. Let b = -10\/69 + t. Calculate the common denominator of 97\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9689 - -9693. Factor 0 - 3\/2*y**5 + 5\/2*y**w - 1\/2*y**3 + 0*y - 1\/2*y**2.\nAnswer: -y**2*(y - 1)**2*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 1. Let s(w) = -11*w + 2. Calculate -14*k(y) + 4*s(y).\nAnswer: 12*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 25520088.85 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 20 + 17)*(-3*f + 2*f + 0*f) in the form b + i*f and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b**5\/6 + 439*b**4\/6 - 220*b**3\/3 - 14*b**2 = 0 for b.\nAnswer: -6, -14\/85, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (2 - (-3)\/3). Suppose 0*h - 6 = -2*h. Suppose -5*q = h*m + 15, q + 0*q + 3 = 5*m. Solve m = i*n - 0 - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 n, and 1 i when four letters picked without replacement from {i: 2, r: 7, n: 4, m: 1, j: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dca7 (base 16) in base 7?\nAnswer: -1410551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 8*a - 30. What is the remainder when 248 is divided by o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 10*b**2 - 9*b + 3. Suppose 0*y + 27 = 3*y. Let q be h(y). Suppose -4*n + 6 = 2*d, 0 = -d + 6*d + q*n - 15. Is 3 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1560\/240 + 6\/(-4). Let q(o) = -o**2 - 2*o + 6. Let j be q(-3). Solve -m - 4 = -j*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278170550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 79\/2. Let v = -1.2 - -1. Which is the second smallest value? (a) v (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 6*b**2 + 3. Let w be o(-6). What is the second derivative of v**5 + 0*v + 8*v - w*v**5 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.743 - -24.743. Which is the biggest value? (a) f (b) -0.7 (c) -118\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - 8 = 0. Let d = r - 1. What is the smallest value in d, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3300*l**3 + 1584*l**3 + 4*l + 1652*l**3 in the form r + w*l**3 + p*l + j*l**2 and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/25)*k)**(3\/5))**14 assuming k is positive.\nAnswer: k**(1134\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25970, -103840, -233630, -415346, -648994, -934580?\nAnswer: -1272110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 125, 146, 167?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113357625 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851990.\nAnswer: 2, 5, 85199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.477655t in micrograms?\nAnswer: 1477655000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -4)\/(-12) + 23\/44. Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**3 - 3*t**2 - 2*t + 5. Let p(w) = -15*w**3 + 5*w**2 + 4*w - 9. Calculate -7*b(k) - 4*p(k).\nAnswer: 4*k**3 + k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, l: 6, t: 1, q: 2, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192 + -138 + -5 + 6 + 2 + 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 13, 5, 1, -469, 4, -3 in descending order.\nAnswer: 13, 8, 5, 4, 1, -3, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((27\/(-6))\/3)\/(55\/(-660)). Let o(b) = b**2 + 5*b + 24. Let p be o(-6). Calculate the greatest common factor of a and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -891, -1\/15, 0.2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.2, -1\/15, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4114 + -4054. Let a be 16*(2 - 1)\/(-2). Let c be (-5)\/((-10)\/a)*-10. What is the highest common factor of n and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 3290. Let a(x) = -x. Calculate s(a(o)).\nAnswer: 6*o - 3290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 + 9*c - 2. Let z be i(-7). Let s = 18 + z. Is 20 a factor of (68 - -3) + (s - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506462?\nAnswer: 2, 3, 43, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5333 in 3, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 21*r + 6. Let d(s) = -4*s - 1. Let n = 72 + -70. Calculate n*f(w) + 11*d(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -3*j**5\/5 + 45*j**4\/4 - 38*j**3 + 36*j**2 + 798. Factor a(q).\nAnswer: -3*q*(q - 12)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26757*l**6 + 1363*l**3 + 544175*l**2 + 35*l + 1?\nAnswer: 3210840*l**3 + 8178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + (24 + -14 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.086 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -13. Let y be ((-1)\/(-2) + -2)*-2. What is the third derivative of -v**6 - 2*v**2 - y*v**u + 5*v**6 wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20*v**2 + 2*v + 4. Let b(k) = 503*k - 6037. Let t be b(12). Give s(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)\/(u*u**7))**(1\/24) assuming u is positive.\nAnswer: u**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 + 4570*o**2 + 13775*o - 18340 = 0 for o.\nAnswer: -4, 1, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(4455) + sqrt(4455)*2)\/sqrt(5) + -4 - -4*-3*(sqrt(704) + sqrt(44))) + 0)**2.\nAnswer: -285465 - 2232*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24 = -2*p. Let x be ((-676)\/(-6))\/(p\/(-9)). Suppose -3*i + 2*t = -x, -2*i + 86 = 3*t + t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1221 + -1200. Calculate the remainder when 56 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 3*k**2 + 8*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2281 and 661905142.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((40\/6)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3*p + 3*p)*(158*p - 12*p + 3*p) - 2*p - 2*p**2 + 2*p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 68*z**2 - 156*z - 3921. What is l(71)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**(2\/23)*z**18\/(z**(-9)*z) assuming z is positive.\nAnswer: z**(624\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -4. Suppose 25 = b + n. What is b rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.4171 != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/8*a**2 - 3\/8*a**3 + 9\/2 + 6*a = 0. Calculate a.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + d + 142 = 0, -39*z + 33 = -38*z + d. Solve 6*y = -29 + z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59252 is divided by 8101?\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-4 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 6. Let p(s) = s**3 - 16*s**2 + 17*s - 29. Let g(f) = 1. Let l(m) = g(m) - p(m). Let v be l(15). What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 - 2 + 4 - 144*i**4 - 11 + 8 + 3*i**3 to h + o*i + v*i**3 + u*i**2 + s*i**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = s - 15, 3 = -2*s + 5*f. Let b = -3 - -12. Solve -s*d = -b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585141061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086820412 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1076284497341\nAnswer: -1076284497341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-3 + 2\/2)\/(8590\/429500).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 110 + 7*z**2 + 247 as g + f*z**2 + r*z and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 1379950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Suppose -4*j + 0*b + n*b = -24, -j = -2*b - 3. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.88876 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -114?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:39 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**4 - 8*o**4 + 5*o**4 + (-1 + 1 - o**3)*(2*o + o + 0*o).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4280 = 33*c - 3059. Put -4, -8, c in ascending order.\nAnswer: c, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 15 - 11164*y - 10 - 10265*y to s + r*y and give r.\nAnswer: -21429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(242))*-5 + (-5 + 0 + sqrt(242) - sqrt(242)) + (sqrt(242) + (2 + sqrt(242))*4 - (sqrt(242) + sqrt(242)*1 + sqrt(242))*-1) + 3)**2.\nAnswer: 1056*sqrt(2) + 2434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/(36\/(-24)). Let g(a) be the second derivative of 1\/63*a**7 + 1\/15*a**5 + j*a**4 - 1\/3*a**3 + 0 - 1\/15*a**6 + 1\/3*a**2 - a. Factor g(u).\nAnswer: 2*(u - 1)**4*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from iiyiyyii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t + 1. Let q(k) = 86*k**3 + 2*k**2 - 8*k + 3. Let o = -119 + 120. Let w(r) = o*q(r) - 2*c(r). Find the second derivative of w(h) wrt h.\nAnswer: 516*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2726092077 rounded to four dps?\nAnswer: -0.2726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/f**(-4))\/f*f)*f**(7\/5)\/f*((f\/((f*f**(-8\/5))\/f))\/f)\/(f\/f**(-2\/17)))**(-2\/55) assuming f is positive.\nAnswer: f**(72\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 491751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15405542 is divided by 46968.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(1\/16)\/v)\/v)*v)**18\/(v**(2\/19)\/v)**(-2\/97) assuming v is positive.\nAnswer: v**(779317\/14744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*b = 1009980, -5 = -2*b + 5. Let d be i\/(-1 - (-63)\/60). What is d rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:47 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 366238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2859.53 millilitres to litres.\nAnswer: 2.85953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 317*r**5 - 2*r**4 - 301*r**2 wrt r.\nAnswer: 19020*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25715, -25717, -25719?\n\"Answer: -2*r - 25713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7337992 = -6*t. Let k = 1014498 - t. What is k rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 670 = 2*v, 3*v - 73 = -z + 52. Let a(h) = -h**2 + 2*h + 5. Let b be a(-5). Let f = b + z. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*d**3*l**4 - 4*d**3*l**2 - 2*d**3*l + 34*d**2*l - 4*d*l**4 wrt l?\nAnswer: 648*d**3*l - 96*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (111*v - 54*v - 14 - 56*v)*(-2 + 2*v + 2)*(-19 + 10*v + 19) in the form s*v**3 + z*v**2 + n*v + j and give z.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w - 1\/2*w**3 + 0 - 1\/24*w**4 - w**2. Let g(h) be the first derivative of o(h). Find the first derivative of g(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -25. Let y(s) = s - 1. Let c be y(-7). Let b be (-2)\/4 + (-36)\/c. Put q, 3, b in ascending order.\nAnswer: q, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -170.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 24*m**2\/5 - 51*m\/5 - 6.\nAnswer: -3*(m + 1)*(m + 2)*(m + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*m**2 - 9*m - 12*m**3 + 1 + 13*m**3 + 53*m**2 - 179*m**2 + 57*m**2 to the form n*m**2 + r*m + z*m**3 + x and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 9*f**2 - 9*f - 4. Calculate u(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 33434.\nAnswer: 300906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2542 and 2378.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190798 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6939, 6943, 6949, 6957, 6967?\n\"Answer: p**2 + p + 6937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8 + -8.8. Let i be -1*20\/(-32)*(-2)\/5. Which is the closest to g? (a) i (b) 0 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n - 27. Give g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473199869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111010100 (base 2) in base 5?\nAnswer: -40031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -20)*((5740\/32)\/(-41) - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20*8\/(-20) - -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4446, -8379, -12300, -16203, -20082, -23931, -27744?\nAnswer: -31515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*h = -29, 18*i - 2*h = 15*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23555*s**3 - 72630 with respect to s.\nAnswer: 70665*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 1. Let k = 15 - w. Solve k = -2*h - 3*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571 or 5129\/9?\nAnswer: 5129\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121084*s**2 - 1121085*s**2 + 5*s - 5*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:23 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1 - 1) + 6. Suppose s*z = 5 + 3. Let m(a) = -a - 1. Let r be m(-1). Is r at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 51*v - 5. Let f be z(25). Let t be 61\/4 + 2\/(-8). Calculate the greatest common factor of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -33, -10 = 4*z + 23*k + 21 + 206 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21254 + 21254.61. Put -0.12, 5\/4, m in increasing order.\nAnswer: -0.12, m, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 2. Suppose -x*y + 10 = -0. Suppose q = -0*c - 4*c + 5, 5*c = q + 13. Solve 25 = 5*o - y*p, o - 3*p - 11 = c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13010301322 (base 4) to base 6.\nAnswer: 103430014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)*f)\/f**(2\/3)*f**(-4)*f**(-1))**(2\/135) assuming f is positive.\nAnswer: f**(-26\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34981, 34980, 34979, 34978?\n\"Answer: -o + 34982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/5 (b) -9 (c) -7 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19164 - 0.09164. Let f = 18 + -13. Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let i = q - -12. Let j be (-6)\/(-88) - 3\/i. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838*p - 848*p - 845*p - 854*p - 854*p + 4262*p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (2 + sqrt(32))**2.\nAnswer: 16*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.462 in 5, 0.4, -161\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5384 - -0.0384. Which is the closest to -2? (a) 0 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45467930.69000082 + -45467930. Let p = z - 0.69. Round p to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*c)\/c**(-3))**31 assuming c is positive.\nAnswer: c**(651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-69)\/2*8\/(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*y = 297*y - 23320. What is the remainder when 12919 is divided by y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11649697.\nAnswer: 11649697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.6 at most as big as 2\/546527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17635)\/(-10) - 1\/2. Let f = g + -8778\/5. What is the common denominator of -61\/9 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(175) + 2 + -1 + 3.\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772340 is divided by 12259.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klbcbmcbqbcbkbbkbb. What is prob of picking 1 c, 1 m, 1 b, and 1 k?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435421 is divided by 144345?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3713*b. Let c(k) be the first derivative of -3*k**2\/2 - 2351. What is c(v(n))?\nAnswer: -11139*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 43*n**2 + 78*n + 171. Is q(35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, 20, 0.0305?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53491903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 63 - 23 = 0. Let h be 460\/(-10)*1\/(-2). Suppose -10 = -2*i, 5*m = -3*i + 98 - h. What is the least common multiple of m and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*t - 4*c**3 - 77*c**2*t - 2*c**2 + 49*c*t + 8*c + 26 wrt c.\nAnswer: -12*c*t - 24*c - 154*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omraabp. Give prob of sequence rpb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15134 (base 6) in base 2?\nAnswer: -100110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -429 + 429.00000265. What is k rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.08 - -0.08. Let r = 43.9 - 44. What is the nearest to r in -5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 12*v = -3*v + 140 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -113175230 + 0\nAnswer: -113175230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 4*c + 18. Suppose -5863 = 28*j - 41*j. What is the highest common factor of j and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28376838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let w(l) = -5*l. Let v(q) = 9*q - 1. Let u(h) = -6*v(h) - 11*w(h). Let d(i) = -3*i - 17. Let o(s) = -6*d(s) - 17*u(s). Calculate g(o(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 2. Let m(g) = 10*g - 22. Let b(j) = 4*j - 9. Let l(d) = 12*b(d) - 5*m(d). Give 3*l(z) - 4*v(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1214.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 122691453?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:08 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(-65)\/(35035\/84). What is s in v*s**4 + 18\/11*s**3 + 0*s + 0 - 12\/11*s**2 - 18\/11*s**5 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 43 - 35 - 7 + 109 - z**2. Give b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let p = 122 - 71. Let u = -16 + 26. Let m(a) = -51 - u*a + p. Give f(m(w)).\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l + 0*l)*(2 + 3 - 3) - l + 6*l - 2*l + (8*l - 6*l + 3*l)*(10 + 0 - 17).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-7) + 16\/7 + -2. Suppose -15*f + 16*f - v = 0. Suppose 2*g - 7 + f = 0. Solve 3 = g*d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 - 2277*t**2 + 140481*t - 2264031 = 0?\nAnswer: 33, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16556775\/(-10)*28\/(-6). Let q = j + -3332825. Suppose l - q = 4906330. What is l rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-1 - 1) - -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z + 5*r + 995, -5*z = -3*r + 1715. Calculate the common denominator of (31\/3)\/(z\/(-51)) and 8\/(-12) + (-334)\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 134\/7 - 8\/7*m**2 + 534\/7*m.\nAnswer: -2*(m - 67)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.02 + 4. Let q = 6.02 + n. Let c = 5.9999976 - q. What is c rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l - 6041 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11169090.823 less than -1208?\nAnswer: 11167882.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 3*g - 1. Let u be i(-2). Let a be (-4)\/2 - (-1 - u). Solve a*d = -3*b + d + 10, 4*b + 4*d = 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.434 minus -0.4?\nAnswer: -87.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*z + 90*z - 15*z)*(0 + 1 + 0)*(4 - 2 + 4).\nAnswer: 174*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 + 6 - i**2 + 16*i**2 - 34*i + 40*i. Let j be r(-1). What is the highest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54206840, 216827332, 487861486, 867309302, 1355170780?\n\"Answer: 54206831*v**2 - v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8*10*1. Suppose 2*n + 3*y - 109 = 0, 2*y + 250 = 5*n + k*y. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91.7 - 84. Let u = l - 3.7. Which is the nearest to 0.1? (a) u (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*k + 57 = 0, 5*s - 41 = -11*k + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let m(u) = 11*u. Let v(l) = -8*h(l) + 3*m(l). Let n(f) = 15*f. Determine v(n(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119\/2, 16, 2, -0.2, 0.03, 4.\nAnswer: -0.2, 0.03, 2, 4, 16, 119\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*n + 3*h, -16 = -4*n + 6*h - 3*h. What is the nearest to n in 2\/13, -3\/10, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and 1697.\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7305724246 to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 11*n**2 + 12*n - 9. Let c be q(10). Let s(v) = -v**2 + 11*v - 1. Let h be s(c). Which is greater: -2\/9 or h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1513 times -969\nAnswer: -1466097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -1240?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2806 - 19632\/7. Let -y*o**2 + 4\/7*o**4 + 2\/7*o**3 + 4\/7*o + 0 = 0. Calculate o.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214140069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let k(b) = -521*b**2 + 2. Calculate k(g(m)).\nAnswer: -521*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 7*q - 2. What is the least common multiple of 15\/(-135 - -30) - -11*2\/7 and y(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -62990.\nAnswer: -62990.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*o - 287, -4*o - 1555 = -8*p + 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 4*z + 3. Let l(y) = -4*y**2 + 7*y + 7. Give 5*h(p) - 3*l(p).\nAnswer: 2*p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10607429*q**4 + q - 655516 wrt q?\nAnswer: 127289148*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*m**3 + m**4 + 6*m + 25*m**2 - 31*m**2 + 28*m**2 - 21*m**2 + 1 as c*m**3 + o*m**4 + q*m + l + t*m**2 and give c.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/17936 and 53\/6156.\nAnswer: 1452816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 31*h + 34*h - 11, 0 = -5*h + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1\/14, -0.5, 3\/5, 0.009?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 2539*t**2\/3 - 134078*t\/3 + 278320\/3.\nAnswer: -(t - 2)*(t + 56)*(t + 2485)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.99911 + -65. Round k to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3*t + 3*t + 15, -4*t = 4*v - 34 + 190 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12540*y**2 - 82*y - 15*y**3 - 12540*y**2 in the form m*y**2 + a + p*y + n*y**3 and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**2 + 5*u + 8. List the prime factors of q(-3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, -3\/5, -3, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4474374181 + 202506.\nAnswer: -4474171675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.4 (c) 42 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 13*k**2 + 11*k + 19. Let b(i) = -i**3 + 6*i**2 + 5*i + 9. Let p be ((-1120)\/21)\/((-5)\/(-30)). Let a = -314 - p. Give a*n(t) - 13*b(t).\nAnswer: t**3 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 26\/9, 0.3, 15, -9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35701, 71471, 107241, 143011, 178781?\n\"Answer: 35770*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e - -1939?\nAnswer: 18ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22327595743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11*y - 7*y - 11904 = 0, -4*j - 5*y + 11900 = 0. Solve -j*p + 24 = -2974*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569034710 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1086516 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21622 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241033 (base 6) to base 12.\nAnswer: -56179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115868594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -502 + 439. Let u(r) = -2*r**3 - 2*r**2 + 2*r - 1. Let j be u(-6). Suppose 0 = 4*o + j - 99. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 23, -3, 413 in increasing order.\nAnswer: -3, 0, 8, 23, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473672*y - 5*o = 473677*y + 65, 0 = -13*y + 5*o - 79 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {i: 1, g: 1, q: 3, s: 2, w: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 7*y + 17*y to the form z*y + j and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-22)*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 651 + -651.5. What is the nearest to 2\/9 in -4, m, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2 + 2 + (-2*z + z + 2*z)*(-1 + 0 + 3) + z - 4 + 4 - 3*z - 3*z + 4*z + (-2 + 2 - 1)*(6 - 2 - 3)*(-54*z - 61*z - 11*z).\nAnswer: 125*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 0)*(-123*w - 139*w + 287*w) + 11*w - w + 3*w)*(-3*w + 3*w + w**2).\nAnswer: -137*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 18*w - 120 = -21*i, i - 5*w - 34 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21483 = -638*q - 55*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -25.8023354.\nAnswer: -12.9011677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.359228 rounded to three dps?\nAnswer: 0.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 0, -18, 2, -1\/4 in descending order.\nAnswer: 2, 0, -1\/4, -18, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 1, 1.2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29899728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 2*b - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -7. What is the remainder when 44 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 6*q + 10. Let j be n(-7). Suppose j*b - 20 = -b. Suppose 2*i - 5*z + 0*z - 28 = 0, i = b*z + 19. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -53, -136, -271, -470?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 4*w - 2*w)*(18 + 9 + 26)*(7 + 2*w**3 - 7).\nAnswer: 530*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 21*y + 2*v - 286, -2654*y + 2656*y = 42*v + 210 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92517, 92239, 91959, 91677, 91393, 91107?\nAnswer: 90819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muurcucmmfuluruuu. What is prob of picking 2 c and 2 m?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27\/2 - -14. Let v be 20\/1048*6\/1. Let t = v - -5393\/2096. Find the common denominator of t and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 18. Let n(a) = a + 9. Let m(z) = -6*d(z) + 13*n(z). Let l be m(-7). Is 0 - (l + -1) - -23 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-43)\/3 - -7. Which is the biggest value? (a) 5 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4\/2 - 6708*m**3 + 7512948*m**2 - 29971344*m + 29944536 = 0?\nAnswer: 2, 2234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434272 divided by -4718.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*g - 50. Let h = -8 - g. Suppose k + 36 = -2*c + 4*c, -h*c = 3*k - 44. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -21, 8.69?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33d - 1?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5\/(-6)*2*-6*81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Solve 0 = -m*z - 6 + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -14*w - 11. Find the third derivative of -2*c**4 + w*c**2 - c**2 - 17*c**4 - c**4 + 3*c**2 + 5 wrt c.\nAnswer: -480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 1. Suppose 2*n + 2*n - 17 = a, -3*n + 4*a + 16 = 0. Let q(b) = -b - 4 + 2*b + n. What is l(r) - q(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*g, -2*g + 3*g = 5*v - 25. Suppose -m + v = -5*m + t, 12 = 3*t. Which is the closest to m? (a) 0.3 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 8*n - 6*n)*(-2*n + 2*n - n).\nAnswer: -2*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.008 and -527.\nAnswer: -526.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -569*d - 4. Let a(b) = -2*b + 1. What is 4*a(k) + t(k)?\nAnswer: -577*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from kkv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 508\/27625?\nAnswer: 508\/27625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 910\/31 + 4121\/93. Let k = 73 - j. Let g be (-4)\/(-6) + (-1)\/6. Which is the nearest to k? (a) 0.07 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/102? (a) -2\/7 (b) -34 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 222\/(-8)*600\/(-225). What is the greatest common factor of s and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, 4, 4522, -0.0244?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 - 6*q + 19. Let v(f) = 15*f**2 - 13*f + 37. Let g(m) = -13*u(m) + 6*v(m). What is the derivative of g(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.30713798 and -79222?\nAnswer: 79222.30713798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10433 less than -10433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74837905819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -582, -1160, -1738, -2316, -2894, -3472?\n\"Answer: -578*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 4, 111, -2, 3.\nAnswer: -2, -5\/4, 3, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 16*r + 22. Let s be k(16). List the prime factors of s - 5\/(20\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 2*p**3 - 12*p + 6*p + 23*p - 3*p**3 in the form h*p**3 + u + k*p + v*p**2 and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-534)\/(-78) - (-26)\/169?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (15 + 0) - (-1 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*p + 4, 6 = -2*r - p + 4. Suppose 528*y - 521*y - 833 = r. What is the least common multiple of 5 and y?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 60*d**2 + 162*d + 1453. What is x(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1.1, -227, -302?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 3828.\nAnswer: 459.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1085, -8562, -28837, -68306, -133365, -230410?\nAnswer: -365837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*v**4 + 1614*v - 2598994.\nAnswer: -1552*v**3 + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 48*f**4 + 18*f**2 - 6?\nAnswer: 240*f**3 + 1152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20610, 36005, 51400?\nAnswer: 66795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9557.\nAnswer: 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*((2*sqrt(8) - (sqrt(2) - sqrt(1800)))*1 + -4))**2.\nAnswer: -7260*sqrt(2) + 54934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x - 3627*x**2 + 3580*x**2 + 13*x.\nAnswer: -47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + 3*l + 2. Let y be 39\/(-12) + 2\/8. Let h be u(y). Solve 5*w + h*a = -35, -7 - 18 = 4*w + a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*j + 1. Suppose -3 - 6 = -3*b. Suppose b*w - 46 = -j. Calculate the smallest common multiple of w and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -898, -1347?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94413 by -4.\nAnswer: -94413\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 22. Let r(d) = d - 1 - 5*d**2 + i + d**3 - 1. What is the lowest common multiple of 6 and r(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*q + 107, 4*n - 46 = 4*q + 30. Let f = n + 16. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 3. Let z = -135 - -139. What is the closest to 0.1 in h, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44037.\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1026122?\nAnswer: -1026130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 75865?\nAnswer: -75860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:49 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -6*a**5 + 586*a**4 + 20470*a**3\/3 - 3287638*a**2\/3 - 43246364*a\/3 + 33150656 = 0?\nAnswer: -33, -16, 2, 217\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/(q*q**(-2\/5)\/q)*q*q*q*q))**(1\/25)*q*q**(-1\/3)*q*q**(1\/4))\/(((q*q**(-1))\/q)**40*(q\/(q**(-1)\/q))**(14\/11)) assuming q is positive.\nAnswer: q**(625721\/16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + 1761.86. Let q = b + -1763.903. Let w = q - 0.097. Sort 0.5, 1\/3, w in descending order.\nAnswer: 0.5, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a12396 + 7?\nAnswer: -4a1238b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 215*d**2 + 920*d - 1140 = 0.\nAnswer: -38, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6*v + 1791, 4*j - 35*v = -30*v + 7019. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 28*b**2 + 17. Give m(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/7716 and 93\/4.\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 37320*m**3 - 116102514*m**2 - 232093080*m - 116027883 = 0 for m.\nAnswer: -6219, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 - -16)\/((-1)\/(-1)). Let l be (425\/50)\/((-1)\/2 - v). Solve 0 = 4*j + 5 - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4 + 217*g**3 - 246*g**2 + 35*g = 0. Calculate g.\nAnswer: 0, 1\/6, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - 7\/1). Suppose 3*o - 4 = 11. Suppose -2*z = -l - o, 5 - 16 = -5*z + 3*l. Solve q*y - c - 6 = -5*c, -z*y = -4*c + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966841 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i + 3*n = -15, 4*i - 49 = -5*n. Let b be 595\/20 - (-1)\/4. Calculate the highest common factor of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -3\/4 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-8 + (-307 - -324)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3801, -2, 1\/10, -5 in decreasing order.\nAnswer: 3801, 1\/10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -37689, -19, 4, -4 in decreasing order.\nAnswer: 82, 4, -4, -19, -37689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/133, -3\/5, -1\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-15 + (7 - -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1205\/126 + 61\/9. What is the common denominator of w and 4\/(-14) + (-61)\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 7, -117\/11, -1\/14 in descending order.\nAnswer: 7, 0.12, -1\/14, -117\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 35. Let y be (816\/(-266) - -3)*p. Let w = y - 24\/19. Find the common denominator of w and 23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 104.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = 2*k - 14, 0 = -3*o - 5*k + 23. Suppose o = -g + 4*g. Let a be g\/3 - (-6)\/(-9). Put -2\/11, 0.4, a in increasing order.\nAnswer: -2\/11, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 7. Let r = -10 + -18. Let v = r - -23. Let u = 2 - v. Calculate d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 46. Let p be (b\/15 + 7\/5)*1. Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 24*r - 104. Let q be t(6). Which is the third smallest value? (a) -17\/9 (b) 3\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from fbejk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9 + 5)*(-8*s - 43*s + 10*s).\nAnswer: 41*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*u + 4*u = 0, -19*j - u + 27 = -5*j - 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2501 + 37481\/15. Find the common denominator of -36 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3\/7 - 4*z\/7 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(6\/6)*1. Suppose 2*s - h = s. Solve s*j + 6 = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311211 (base 4) to base 13.\nAnswer: 173a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 91, 79, 51, 1, -77, -189?\n\"Answer: -t**3 - 2*t**2 + t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 213*h**5\/2 - 203*h**4\/2 + 532*h - 3. What is the third derivative of o(m) wrt m?\nAnswer: 12780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11408\/(-2024) + 1 + 1.\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q - 2. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = 0, -2*n + 1589 = -5*t + 430. Calculate the greatest common factor of 52 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/7 - 48*v**2\/7 + 15*v + 156\/7.\nAnswer: 3*(v - 13)*(v - 4)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(60) - 1*sqrt(60))*6)\/(sqrt(15)\/(sqrt(10)\/sqrt(2)) - (sqrt(3) + (sqrt(27) + sqrt(3))*-5 - sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 11*v - 3*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = p, -p + 1 = -n - 2. Solve 2*y + p + 0 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let x be 35\/10*t\/(-7). Suppose 0 = -3*o + k + 29, -3*o - x*k + 0*k = -32. Solve 0*n = -4*n - 2*s + o, 5*n = s + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 12, -l + 5*z - 3 = -19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 35688.09 nanometers?\nAnswer: 0.00003568809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-8)*j)\/(j**(2\/51)*j))\/(j**(-2\/31)*j**(-17\/5)) assuming j is positive.\nAnswer: j**(98222\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -493b - 206?\nAnswer: -4b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.6. What is the third smallest value in -2, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxfoffnunf. Give prob of picking 2 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*45\/30. Suppose 3*r + 24 = -6*w + 4*w, 12 = -w - 3*r. Put d, w, 2 in descending order.\nAnswer: 2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 36 = -27*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 3, g: 2, p: 2, w: 4, k: 2}. What is prob of picking 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*z + 2*z - 3*t, 2*z - 4*t = 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-624)\/65)\/6 + (-132)\/105?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q**2 - 3*q - 3*q**2. Let u be k(-7). Let i = 191330 - 191295. What is the greatest common divisor of u and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11839*v**4 + 4907*v**3*x - 21393250*v**2*x + 4*v*x - 2*x wrt v.\nAnswer: 284136*v + 29442*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66159 = 4*j - 34*j - 15009. Does 155 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-2))*333\/74\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 - 1\/12*o**4 + 0*o**3 + 3*o + 0*o**2. Let y(x) = x - 5. Let s(z) = -1. Let k(b) = -5*s(b) + y(b). Give k(n(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 3*q)*(-q - 4*q + q) + 26*q**2 + 27*q**2 - 4*q**2 + q**2 + q**2 - q**2 + (1 - 1 + 4*q)*(-3*q + 2*q + 0*q).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 - 132*q**3*r - 81*q**2*r - 4*q*r wrt q?\nAnswer: 120*q**3 - 792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l = -64*l + 1259. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 42 = 3*n, -2*n = 5*v - 23 + 1. Let r(w) = 0*w**2 + 6 - w**2 + v*w**2. Let c(m) = -m**2 - 1. Determine -6*c(g) - r(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 59785\/3, -0.1 in descending order.\nAnswer: 59785\/3, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 8068 in decreasing order.\nAnswer: 8068, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:14 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -18. Let k = 26 - 0. Calculate the greatest common divisor of k and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011110001 + 100?\nAnswer: -1001011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 1\/3, -0.4, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 2*s)*(-4 + 0 + 3)*(1 + 0 - 3)*(-148 - 518 + 304).\nAnswer: -724*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 33 = 10*a. Put 7, a, 3 in increasing order.\nAnswer: a, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*g + 16 = 0, 2*k - 3*g - 10 = -1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 1\/4, 3, -80?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 2\/63, 5, 2\/9, 52?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 4. Let t be f(2). Suppose 3 = t*l - 3*l. Is 16 a factor of 36*-4*1\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6582103 * -84\nAnswer: 552896652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w - 49*w - 2*w as j*w + b and give j.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -51676*f - 2*f**4 + 51581*f - 3*f**3 - 3*f**4 - 1 + 4*f**4 - 2*f**4 + 2*f**2 in the form k*f**3 + n*f + g + m*f**4 + u*f**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**4\/12 + 13*u**3\/6 - 7*u**2. Let g be y(-8). Let f be g\/((-3)\/(3\/1)). Put f, 2, 1 in descending order.\nAnswer: f, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 + 3 - 59*n + 60*n - 1)*(0*n + 3*n + 0*n).\nAnswer: 15*n**3 + 3*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 29. Let l(z) = z**3 - 4*z**2 - 5*z. Give l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1875 and 1\/25.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1\/2*(-924)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 4*q**2 - 4*q**2 + (11*q**2 - 5*q**2 - 2*q**2)*(-q + 4*q - 5*q) + 5*q**2 + q**3 - 4*q**2 + 0*q**3.\nAnswer: -9*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17053 + -17058. Which is the second smallest value? (a) -47 (b) -12 (c) -2\/7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*p + 4 - 26, -3*w + 14 = 2*p. Suppose 3*r + 8 = 7*r. Suppose 7 = w*k + 4*j - 5, -4*j = r*k - 10. Solve -k = 2*d - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + 3 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**8\/672 - q**7\/840 - q**6\/40 + 11*q**5\/120 - 7*q**4\/48 + q**3\/8 - q**2 - 18*q. Factor n(x).\nAnswer: (x - 1)**3*(x + 3)*(2*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 10 + 9 + -1 + -5 + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.8 times -2.331\nAnswer: -13.5198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33199702 + 0.332. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1406 and 4301410?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689537 is divided by 520?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3939107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -185, 1\/2, -0.3, -3\/11, -4, 1\/7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**4 + 4*q**2 - 4*q - 43. Let r(k) = 11*k**4 + 3*k**2 - 3*k - 43. Let o(i) = -3*l(i) + 4*r(i). Differentiate o(c) with respect to c.\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28153001 is divided by 1671?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-144)*77\/(-55)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42276 - -59893. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 136*j + 5622. What is i(76)?\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.002 - -0.99. Which is the third biggest value? (a) g (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1306, 2600, 3892, 5182, 6470, 7756?\nAnswer: 9040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let m = s - 3. Let n(v) = v**3. Let z(p) be the third derivative of p**3\/3 + p**2. Give m*n(l) + z(l).\nAnswer: -l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.23.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 divided by -70?\nAnswer: -239\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40849164*g**2 - 27*g - 393828 wrt g.\nAnswer: -81698328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b = 437 - 187 + 453 + 940 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2. Let t(a) = -4*a**2 - 149*a + 4. Give 3*h(d) - t(d).\nAnswer: d**2 + 149*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9788611 rounded to two dps?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q**2 + 2*q - 9. Let k be h(7). Let s be (-13)\/3*(-6)\/2. Solve -9 = 4*n + 4*j - 3*j, -k*n - 3*j = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907*c - 904*c = 468. Let h = 23 - -5. Differentiate -156*r + 5*r**3 - h + c*r wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 45*d + 165. Calculate p(6).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75) + 0 - sqrt(75)) + -5 + 2 - -2*(3*(0 + sqrt(75) + 1))**2)*2.\nAnswer: 360*sqrt(3) + 2730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 324085799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let a be f(6). Does 14 divide (30\/4)\/(a\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380622 >= 2380600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 35*l + 196. Suppose 4*k - 2 = d, -k + 4*k + 16 = 2*d. What are the prime factors of m(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10902219.\nAnswer: 3, 17, 19, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/5)\/((-132)\/(-165)). Which is the closest to -1\/4? (a) -7 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523714.\nAnswer: 2, 67, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = -3*a + 4*a, -4*n - 3*a = -25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufv when three letters picked without replacement from vfuqumxfxfxuq.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118413855 a multiple of 1728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 i when four letters picked without replacement from {i: 3, e: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 963?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175542 is divided by 190?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*b - 267*b + 89*b + 91*b + 1181.\nAnswer: b + 1181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*6 + (3*(sqrt(119) - -1*sqrt(119)) - sqrt(119)))\/((sqrt(63) + 2*sqrt(9072) + sqrt(63) - sqrt(63))\/(-2*(sqrt(9) + sqrt(36)))).\nAnswer: 78*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*o**2*r*s**3*t + 6*o**2*r*t - 2*o**2*s**2*t - 13*o**2*t - 4*o*s**3*t - 2*t wrt s?\nAnswer: 204*o**2*r*t - 24*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/6 - 5*z**2. Let u(a) = 4*a. What is u(p(v))?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z - 4*i, -2*z = -0*z - 4*i - 4. Factor -4*b**2 - 9*b**4 - 2*b**5 + 8*b**4 + z*b + 5*b**4.\nAnswer: -2*b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:41 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7342 - 7030. What is the lowest common multiple of f and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.2 (b) 8 (c) 121 (d) -6\/5 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:32 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15803 is divided by 5246?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -3 + 13 + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(108)*-6 + 5 + (5 + -3*(sqrt(108) - (sqrt(108) - (1 + sqrt(108)))) + 0)**2.\nAnswer: -144*sqrt(3) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -37*c**2 - c - 9. Let t(z) = 41*z**2 + z + 10. Let x(r) = 9*t(r) + 10*v(r). Let o(f) = 10*f**2. Determine o(x(m)).\nAnswer: 10*m**4 + 20*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2611 - 2611.00001573. Round o to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 8. Calculate the common denominator of -11\/10 and (w\/(-20))\/((-8)\/328).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*k + 65, 5*r - 3*k - 44 = 47. Let a = 54 - 26. Let p = a - r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 32. Suppose -3 - 12 = -5*r, 5*b - 5*r = -65. Let u = x + b. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, 2, 3, -483?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 208 = 5*v - 63 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-6) - (-7 + 3). Is i > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 31, 25, 17, 7, -5?\n\"Answer: -k**2 - k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 4*o**2 + 5*o**2)*(2 + 2*o**3 - 2)*(1 - 2 - 1).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niyycqw. What is prob of picking 1 y, 1 i, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2856219 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(2\/7))))**(33\/5) assuming o is positive.\nAnswer: o**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**6\/3 + 3*d**2\/2 - 15. What is the second derivative of f(o) wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 5970.\nAnswer: 41790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 61, 94, 149, 232, 349, 506?\n\"Answer: s**3 + 2*s**2 + 4*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 38*j**2 - 10*j - 403. What is g(-38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 17. Let s be (-6)\/2 + -10 + 23. Let q be p(s). Let d be 2*(-3 - -4)*q. Let i(x) = x**3 + 5*x**2 - 8*x - 8. What is i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 11 - 58*c + 18.\nAnswer: -49*c + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*h + 15, 0*r + 2*r = -10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 - 112 + 11*p - 182 - 175.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 = -z - 2, -4*z - u - 43 = 0. Let o be (z + 8)\/(2\/7). Let s(x) = 10*x**2 - 2*x. Let y(d) = 9*d**2 - 2*d. Determine o*y(w) + 6*s(w).\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + (-56 - (-2 - 12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13183\/2 - 6592. Let f(j) = -j + 7. Let u be f(8). What is the second smallest value in -5, -5\/6, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82990907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2) + 1\/2. Suppose 0 = -5*t - k - 18, -2*t - k - 9 = -0. Let v(c) = -69*c**2 - 205*c + 2. Let z be v(t). Sort w, -1, z.\nAnswer: z, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 128 = 3*r. Let h = -31 - r. What is the remainder when h*-3*(-33)\/27*3 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -763.6 and -0.199.\nAnswer: 151.9564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.433, -10.3, 0.4, 1 in decreasing order.\nAnswer: 5.433, 1, 0.4, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -77.2. Which is the nearest to -2\/7? (a) o (b) -11\/3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -6. Calculate the lowest common multiple of 58 and a.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 9*h**2 - 11*h - 5. Let j = -1435 - -1428. Determine m(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23490382779.00001597 - 23490382897. Let j = -118 - u. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41913.898 rounded to the nearest 100?\nAnswer: 41900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 57. Suppose 3*k + x*t + 15294 = 0, k - 5096 = 2*k + 2*t. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 112 + (-371)\/7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/12172797 and -115\/1602.\nAnswer: 24345594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5679072 by 1512.\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.092 * 24162.\nAnswer: -195518.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503786439 - 30*g**2 - 503786439.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 + 3)\/(-2))\/(-1). Suppose 13 = -2*p + 21. Solve -3*f = -5*o - l*o - 29, -p*o + 3*f = 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75063 divided by -16?\nAnswer: 75063\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 25. Solve h*j - 10 = -5*a, -6 = -5*j - 2*a + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 24. Let k be o(-22). Solve z + 1 - k = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 169*s**2 - 6095*s - 43. Give a(36).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181354\/7 or 25907?\nAnswer: 25907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/51033 or 0?\nAnswer: 2\/51033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/411994 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370153783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111663*z**2 - 2871494?\nAnswer: -223326*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*a = 58, 3*a = d + 2 - 6. Let f(u) = -21*u - 37. Let t be f(-7). Calculate the highest common divisor of t and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101001010 (base 2) in base 13?\nAnswer: 232b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 28*r + 27. Let q be f(-27). Let g(y) = -y**3 + y**2 + y + 34. Determine g(q).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1814, -1797, -1754, -1673, -1542?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n)*(6*n**3 - 3*n**3 - n**3) - 4*n**2 + 4*n**2 - 3*n**4 + 2 - 2 + n**4 - 4 + 4 - 14*n**4 + (0 + 2*n + 0)*(7*n**3 - 21*n**2 + 21*n**2).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -2\/9, 3\/7, -0.005, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -27. Let r(h) = -5*h**2 + 4*h**2 + h + 8 + 8. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**3*j*j**(-4\/11)*j*j\/(j*j\/j**(-3\/5))*j**(2\/17) assuming j is positive.\nAnswer: j**(-791\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b**2 - 20*b. Suppose 0*l - 75 = -5*l. Let n be q(l). What is n rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 56 - (10605 - 10582).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*c - 50*c - 47014. Suppose -186969 + c = -23*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 120 (b) 16509 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 11. Suppose 48 = -443*o + 431*o. Let i(u) = 5*u - 10. Let q(h) = 1. Let n(f) = -i(f) - 4*q(f). Calculate o*d(z) + 7*n(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21082204 * 2.1.\nAnswer: 44272628.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 3:18 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/8)\/(9\/(-24)). Let o(s) = s**z + 8*s**2 - 7*s**2. Let t(p) = p**2 + 6. Let d(f) = 7*f**2 + 49. Let y(v) = 6*d(v) - 49*t(v). Calculate o(y(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 12*f**2 - 213*f. Let g(a) = 5*a**3 - 26*a**2 - 426*a. Calculate -6*g(v) + 13*k(v).\nAnswer: -4*v**3 - 213*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 2*u**3 - 54 + 29 + 58*u**3 + 12 + 7*u**3.\nAnswer: 63*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 - -315. Solve y = -9*i + 41 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61177.097 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/4, -6\/11, 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b**(5\/6)*b)\/b)\/b**0)\/(b*b**(2\/3)\/b*b\/(b\/b**(11\/4)*b)*b))**47 assuming b is positive.\nAnswer: b**(-329\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/25, 438, 5, 12\/7, -6?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = 5. Calculate the remainder when 62 is divided by 24 - x\/((-1)\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9943*l + 1798*l + 5317*l - 277*l + 1584*l in the form c*l + r and give c.\nAnswer: 18365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 380 = -89. What is the remainder when 465 is divided by u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 248.97952 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 - 421 = 53*n - 115*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -104*w - 2. Let n(v) = 12*v + 2. Calculate a(c) + 6*n(c).\nAnswer: -32*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 106 = -2*m, 0*m - 3*m + 111 = 4*x. Suppose 90 = -2*j + x. Let t = j + 34. Sort t, 3, 2 in decreasing order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773 - 2304 + 718 + 813 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 2842309.7.\nAnswer: -2842310.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 77. Let w = m - -36. Is (-402)\/w*(-2 - 40)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-6)\/(-3) - -2. List the prime factors of (j - 2 - 2)*-6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6550836 and 73\/384.\nAnswer: 209626752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (140\/21)\/(-2 - (-208)\/105). Let k = -12 - n. Suppose 0 = -7*t + k + 54. Calculate the remainder when t is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1043517354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7203.3 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (sqrt(153) + 2)**2 + 2 + -1 + sqrt(153) - (3 + (sqrt(153) + 3)**2)*-5) + -1.\nAnswer: 105*sqrt(17) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-1)\/(-6)). Solve 3*u - 3 = -v, 2*u - v = -d - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 11*y. Let o(x) = -50*x**3 - 12*x**2 + 35*x + 8285. Let b(f) = -o(f) - 3*w(f). Differentiate b(l) with respect to l.\nAnswer: 150*l**2 + 18*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0.4. Let u = -366407 - -366403. What is the nearest to 0 in -2\/3, u, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*x - 5337 = 4878 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -5*x + 8, 5*c + 3*x = -33. Let t = 20 + c. Does 15 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + 0.153625951.\nAnswer: -0.076374049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - s = 17, 5*s = 719*i - 683*i - 37 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 + 69*i + 216 = 0.\nAnswer: -3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*u, -4*y + y + 14 = -2*u. Solve -4*l - l = 2*r + 5, 3 = -3*l + y*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 2 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4304304 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -14. Let i(p) = 5*p**2 + 14*p + 12. Let w be i(-3). Let q be 5\/w - t\/(-6). Solve 0*o + q*f - 28 = -o, 6 = -3*o + 3*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sooooqooosooooos. Give prob of sequence os.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (38040\/27)\/5 - (-2)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 9970*a**4 + 345*a**3 - 689330*a**2 + 2793100*a - 2991000 = 0. What is a?\nAnswer: -10, 2, 3, 5, 1994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5))**(-8\/13))**(-41)\/((c\/(c\/c**(-2\/3)))**(-2\/123)\/(((((c\/((c\/c**9)\/c))\/c)\/c)\/c)\/(c*((c\/((c\/c**8)\/c))\/c)\/c))) assuming c is positive.\nAnswer: c**(-610009\/4797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3979*i = -3954*i - 100 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 19. Let w = 2.2 - 2. Let q = 158 - 158.04. Which is the third smallest value? (a) q (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 384*f**2 + 16*f - 13. Let o be g(1). Calculate the greatest common divisor of o and 1032.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p**(-2\/3))**3 assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1219 = 2*x + b + 1185, -x - 5*b = 10. Let q(s) = -s + 57. Calculate q(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -252. Let m be ((-4)\/2 - -1) + j\/11. Solve 7*c = m*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47236, 47731, 49084, 51727, 56092, 62611?\nAnswer: 71716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -26. Let y = -3.5 + -1.5. Suppose 0 = -4*n + 9*n. Which is the closest to 0.1? (a) y (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292 + 679. Calculate the highest common factor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2 + 238*u - 240 = 0.\nAnswer: -120, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 823, 1230, 2047, 3412, 5463, 8338?\nAnswer: 12175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 32, -5, 0 in descending order.\nAnswer: 32, 19, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j = 19*j + 2122 - 330 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6749*r**3 + 24221*r**3 + 13966*r**3 + 14583*r**3 - 8487*r**3.\nAnswer: 51032*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -645*d + 119600 - 129275 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1664455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-128.6.\nAnswer: 51.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from oeooeooooooeeoooeoo.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - 11*i**2 + 3*i - 209. Determine g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + 0.2. Let b be (-37)\/((-2849)\/(-22))*-1. Sort f, 2\/11, 5\/6, b in ascending order.\nAnswer: 2\/11, b, 5\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (2 + -1))\/3. Let o(g) be the second derivative of -1\/12*g**4 - 1\/3*g**3 + g + q + 0*g**2. What is the second derivative of o(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + -4.88. Let f(n) = n**3 + n**2 + 2*n - 4. Let q be f(2). Let z be 4\/(-2) + 27\/q. Which is the third smallest value? (a) r (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 213183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 4*a + 0*a)*(-5*a - 5*a + 8*a - 2).\nAnswer: 4*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16 and -33\/6004?\nAnswer: 24016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3449145\/82 + -42062. Calculate the common denominator of k and 15\/328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 590.7 + -594. Is p greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -639718 (base 11) to base 7.\nAnswer: -11460503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98739 is divided by 8228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4 = -2*p, 3*p = p + q + 4. What is the smallest common multiple of (15\/(-4))\/((-6)\/8) and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2549.7 + -2549.4. Let j = -0.17 + 0.05. What is the third smallest value in j, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31084 = 2441*u + 27500 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 + 32 = 0. Let u = 12 + y. Solve u = -f + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1193*i*q - q + 68 wrt i?\nAnswer: 1193*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - 312. Let y(k) = 5*k**2 + 34*k + 10. Let j(w) = -3*w**2 - 23*w - 6. Let i(b) = c*y(b) + 8*j(b). Calculate i(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85)\/(-3) + -1 - 12\/36. Let w = a + 45. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.3112386 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paaaacrccpcctuc. Give prob of sequence apu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/13*c**3 - 108\/13*c - 72\/13*c**2 + 486\/13 + 2\/13*c**4 = 0 for c.\nAnswer: -9, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4165131 divided by -3?\nAnswer: 1388377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4037 times -0.2\nAnswer: 807.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-21)*(-26)\/325*-35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - 4. Let m = -0.4 - t. Let i be (-1)\/(-2)*6\/8. Sort -2\/3, m, i.\nAnswer: -2\/3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.87 + 14\nAnswer: 33.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 11 + 26. Let l(v) = -2*v + 1. Let o(w) = 6*w - 4. Let m(h) = 10*l(h) + 3*o(h). Determine m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 576 (b) -6\/11 (c) 3 (d) 318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 3, -7 in decreasing order.\nAnswer: 207, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 14*g**2 - 5*g + 61. Let f be k(14). Let d be (-2)\/f + 272\/(-9). Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 - (4 - 24) - 6. Which is the closest to 1\/6? (a) 2 (b) s (c) 3.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -672*a**4 + 1016*a**2?\nAnswer: -16128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 5 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117.33 + 118. Round n to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 11}. Give prob of sequence ke.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2414 (base 5) to base 10\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 15*w**2 + 84*w + 6. Let j be u(-4). Which is smaller: j or -192\/7?\nAnswer: -192\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.008355204 - -0.00834. What is y rounded to seven dps?\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387775669?\nAnswer: 387775669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3034)\/(-8) + (-27)\/(-36)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436511636 to the power of 1\/3, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5154*q + 2622*q = -2661*q - 8127 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17327 (base 11) to base 15\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.6. Let k be (-2)\/10 - (-31)\/30. Let y = k + -1\/3. Which is the second smallest value? (a) y (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2103 - 255. Is u\/(-8)*6\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0481715422 rounded to 5 decimal places?\nAnswer: -0.04817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 26, 4, -5, 18, 5 in ascending order.\nAnswer: -34, -5, -4, 4, 5, 18, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6009991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -40. Suppose -31 = -4*m + 3*a, -m = -2*a - 2*a - 24. Solve -m*f + f = -u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*v - 4*i, 4*i = 3*i - 5. Suppose -1 = q - v. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/(-50) - (2 + (-36)\/(-24))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108))**2*2 + (sqrt(3) - (1*sqrt(3) + 1)**2) + 3*((sqrt(18)\/sqrt(96))**2 - (sqrt(33) - sqrt(99)\/sqrt(3))\/sqrt(11)) + 3 + -4.\nAnswer: -sqrt(3) + 3385\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13537 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - 20. Let t(u) = u - 5. Let g(z) = -9*t(z) + 2*y(z). Let f = -1 + -6. Let w be g(f). Put w, -5, 4 in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - a - 3462, -5*s - a + 4323 = -0*a. What is the remainder when s is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 155 = -0*d. Let s = -43 - d. Let p be 3*((-2)\/s + 1\/12). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/20160 + i**7\/5040 + 7*i**6\/720 + i**5\/30 - i**2. Let j(o) be the third derivative of n(o). What is j(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 1, d: 1, p: 2, z: 6}. What is prob of picking 1 z, 1 d, and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.07 - 0.07. Let y = -3156.7 - -3157. Which is the third smallest value? (a) y (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from qveoavavqqt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g - 2*g**3 + 1265 - 1265 to z*g + x + i*g**3 + h*g**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348069, 347942, 347815?\nAnswer: 347688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1855, 3724, 5587, 7438, 9271, 11080, 12859?\n\"Answer: -x**3 + 3*x**2 + 1867*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 - 134*d - 167. What is f(-44)?\nAnswer: -3951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-7)\/56)\/(((-60)\/32)\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2827 and 1417.\nAnswer: 4005859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32061, 32055, 32045, 32031, 32013, 31991, 31965?\n\"Answer: -2*k**2 + 32063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**3 + 7*w**2 - 2*w + 7. Let v(n) = 6*n**3 - 5*n**2 + n - 5. Let m(d) = -7*v(d) - 5*x(d). Find the second derivative of m(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 4249*g + 10. Calculate m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+763\nAnswer: 763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1176 - -9578. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (1 - 9\/(-3 + -6)) + 18004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o + 11. Suppose d = -4*b - 18, -2*b = 2*d - 9 + 27. Let r be q(d). Solve -30 = 5*p + 2*g, p + r*g + 32 - 3 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:03 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 - 2*k**2)*(-k - 2*k + 2*k) - 2 + 2 + 4*k**3 + 3*k - 3*k + 6*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s + 27. Calculate y(8).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1165, 2324, 3483, 4642?\nAnswer: 5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 + 4 - 13) + 4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14799321600 rounded to the nearest 1000000?\nAnswer: -14799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 34*i**2 - 284*i + 23. Determine k(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/3)*((g*((g**(-1\/6)*g*g)\/g*g)\/g*g)\/g*g*g)\/g*(g**(1\/16)*g)\/(g**(-8\/7)\/g) assuming g is positive.\nAnswer: g**(863\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26\/1253 + -8843\/238070. What is the common denominator of s and -103\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*q + 4*w + 63, -35 = -2*q + 3*w. What is the smallest common multiple of 48 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 15 + 63. What is the third smallest value in -2, m, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 8*c + 4. Suppose -5*z - 3*t - 4 + 27 = 0, -5*t + 21 = 4*z. Suppose 0 = -o - z*p + 6*p + 4, 0 = -2*p + 4. Let y be i(o). Solve y*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*l + 2 = -g, l = g - 2. Suppose -5*y - 5*i = -2*y - g, -5*y - 5*i + 5 = 0. What is the greatest common factor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.3, -1\/25, -1\/24, 2\/11?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8) + 62\/(-8) + 1. Let l be 2\/8 + (-3521)\/(-28) + i. Suppose 0 = 30*x - 25*x - l. What is the greatest common factor of 72 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.6. Let n be (4\/6)\/((-4)\/(-3)). Which is the second biggest value? (a) n (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Suppose -2*c - 4 = 0, -5*g = -5*c - 17 - 3. Find v, given that v + 2 + v**3 + 0*v**g - i*v**3 - 4*v**2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - 0)\/(6\/(-8)). Let x(g) = -2*g**3 - 76*g**2 - 17*g - 278. Let w be x(-38). Calculate the greatest common factor of j and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*l**2 + 5 - 4*l**4 + l**3 - 15*l**3 - 2 - 299*l**2 wrt l.\nAnswer: -96*l - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11 = 31. Suppose 5*x = -4*f + 182 + 42, 4*f + w*x - 220 = 0. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26371 or 26342?\nAnswer: 26342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1945885497 is divided by 3625?\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 11 - (-3 + -18)) + -33 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 105a?\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069289 to four dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-270)*6*5\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -87, 52.\nAnswer: -87, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -6982 = -6979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 616*c**2 - 377*c**2 + 0*c - 202*c**2 - 72*c**2 to the form h*c + o*c**2 + k and give o.\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1554, -1149, -454, 531, 1806, 3371?\nAnswer: 5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*q**3*v + 400*q**3 - 20*q**2 - 27*q - 2207993*v + 29 wrt v?\nAnswer: 33*q**3 - 2207993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991313?\nAnswer: 3, 97, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose x*p - 58 = 2*l - 6, -3*l = 5*p - 76. Let w = 13 + -8. What is the remainder when p is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 - 4*g**3 + 3*g**2 + 6*g**2 + (2 - 3 - 1)*(2*g**3 - g + g).\nAnswer: -8*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 2. Let v be h(-4). Let q be 2*(v\/4 + 1). Differentiate 6*r**3 - 3 + q - r**3 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.31 and -4.\nAnswer: -257.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54060 - 4?\nAnswer: -54064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose 0*g - 872 = -k*g. Suppose -g = -2*o - 3*x, o + 5*x - 329 = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -8*o + 30. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2592\/36*(-1)\/((-54)\/9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9) - (-98)\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -0.0632. Round n to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s - 46025. Let i(g) = -3604*g**3 + g**2. Let a be i(-1). Let z = s + a. Round z to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 24*x - 50. Let p be (-24)\/(-32)*(5 + -1). Solve -d + x = -5*y + 2*y, d - p = y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 20 - 223*j**2 - 2*j + 225*j**2 + 117*j**3 - 13*j**3 - 2*j**4 to the form f*j**4 + w*j + p*j**2 + x*j**3 + r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(4*sqrt(10)) + -3 + 1)*-4.\nAnswer: -sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 5. Let u(h) = -h - 2. Let t(o) = -2*r(o) + 5*u(o). Let b(p) = -54*p**2. Determine b(t(n)).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (675\/(-180))\/((-25)\/(-60)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7407 is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15687.0000007892 + 15687. What is j rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 79*p**4\/12 + 85*p**2\/2 + 4*p + 1. Find the first derivative of h(t) wrt t.\nAnswer: 158*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 52 = -7*r. Suppose r*i = 17*i - 3*h - 14, -4*i + 5*h = -10. Suppose 5*y = -3*x - 5 + 12, 2*y = -3*x + 10. Sort i, y, -3 in ascending order.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5428, -21230, -47578, -84478, -131936?\nAnswer: -189958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -439\/3, 3\/2, 0.3, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/((5 - 1) + -2))\/(-2). Solve j*n + 46*n - 184 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4463 + -4469. What is the closest to 1 in -2, v, -3, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Suppose h*a - 10*a + 14 = 0. Let q be a\/(-9) - 374\/1071. What is the closest to -1 in 0.4, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6465*r + 258631. What is i(40)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11321220 - 12?\nAnswer: 11321202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a0 - -37548?\nAnswer: 37608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:10 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:05 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 223 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 16\/40*18*(-160)\/(-3).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12583 (base 10) in base 6?\nAnswer: -134131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348 + 713. List the prime factors of o.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121278 is divided by 60510.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 66*a + 101 - 182. Let g(l) be the first derivative of -1\/5*l**5 + 0*l**4 + 38 - a*l**3 + 0*l + 0*l**2. Find the third derivative of g(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10087)\/(-262))\/(((-147)\/14)\/3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 52.876955589\nAnswer: -54.876955589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 587853.\nAnswer: 1175706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:30 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57\/34 + -14\/17. Sort 3\/7, 4, r.\nAnswer: r, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -385, 121, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/8)\/(42\/56). Which is the nearest to 1? (a) -0.3 (b) -0.8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 0*k = k - 59 - 98, 20*y - 18*y + 162 = 2*k for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*q**3 - q**2 + 1667*q wrt q?\nAnswer: -498*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -23709221.\nAnswer: -11854610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*j = -31, 6*k + 3*j - 64 = 2*k. Let h(o) = 10*o - 31. Calculate h(k).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, s: 1, w: 5, o: 2}. What is prob of picking 1 d and 2 w?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963035315?\nAnswer: 5, 11, 17509733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2 + 6. Let k be (4 - (6 - -1))\/((-6)\/(-10)). Put k, u, -3 in ascending order.\nAnswer: k, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3187 - -0.0187. Let t = -10 - -9.6. Sort 0.3, m, t in descending order.\nAnswer: 0.3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 - 71*a**3 + 9417624*a**5 - 5095*a - 9417622*a**5 + 4*a**4 wrt a?\nAnswer: 40*a**3 + 48*a**2 - 432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1337975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 0.2.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 - 31 = -b, -5*b - 3*z + 145 = 0. Suppose -4*l = 4*s + 112, 0*l = -s + 5*l - 46. Let a = s + 57. Calculate the highest common factor of a and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626 and 4?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)\/(k**(3\/13)\/k)*((k*k\/(k**(1\/20)*k))\/k)\/(k*k\/(k\/k**(-9))))**(-45) assuming k is positive.\nAnswer: k**(14697\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -5*i + 4*z + 26, i - 46 = -z. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 18*v + 4*u + 30332, -v + 3*u + 30338 = 0. Is v a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 62300 = -x, -4*u - 11753 - 175147 = -3*x. What is x rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183046785 rounded to seven dps?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*12\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 4, v: 3}. What is prob of picking 2 v and 1 r?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24758294, -99033180, -222824658, -396132728, -618957390?\nAnswer: -891298644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/22*((-20)\/(-6))\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -14. Let c(a) = -4*a**3 - 12*a**2. Let o(b) = -9*b**3 - 25*b**2 + 1. Let m(l) = 7*c(l) - 3*o(l). Calculate m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(4*1\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(3*12\/27*471\/(-35796))?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289162 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87906, -175818, -263734, -351654, -439578, -527506?\n\"Answer: -2*v**2 - 87906*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(3240)*3)\/(2*sqrt(1152)))**2 + 1.\nAnswer: -9*sqrt(5)\/2 + 725\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1691, -3381, -5071, -6761, -8451, -10141?\nAnswer: -11831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6831*t**2 - 1 - 8 + 11.\nAnswer: -6831*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19789 - 19789 - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6133, -5522, -4911, -4300, -3689?\nAnswer: -3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g. Let x(p) = p. Let j(r) = -4*t(r) + 28*x(r). Let u(o) = 5076 + 5078 - 17*o - 10154. Determine 9*j(y) + 2*u(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.2, -935 in descending order.\nAnswer: 0.2, -10, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**3 + 3*p**2 - 20*p - 2478. Let g(l) = 7*l**3 + 2*l**2 - 13*l - 1653. Let z(d) = -8*g(d) + 5*u(d). Is 14 a factor of z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570\/53 less than 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7896188 is divided by 116?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083864839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/220 and -61\/1496?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306246 and 2838.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -27*d. Let a(h) be the second derivative of h**6\/720 + h**4\/6 - 10*h. Let l(t) be the third derivative of a(t). Determine y(l(f)).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1286000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Let i(h) = -h**2. Let l(s) = 2*s**2 + s + 1. Suppose -3*a - 2 = 2*n + 3, -n - 3*a = 7. Give k*i(y) + n*l(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i\/i**20)))\/(i*i*i*i\/((i\/i**11)\/i*i))*(i*i**(-15))\/i*i**(-2\/5))**(18\/13) assuming i is positive.\nAnswer: i**(-4266\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 73*k**2 + 191*k - 1125. What are the prime factors of d(6)?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -442. Suppose -2*z + z = 2*m - p, 0 = 4*z - 20. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130)*-1)*-3 - sqrt(130))\/(-4*sqrt(50)\/sqrt(5) + sqrt(10))*1 + -4.\nAnswer: -4 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -4027, 919, -3 in descending order.\nAnswer: 919, 3\/8, -3, -4027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000661692148 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 3. Suppose 3*c = -4*s + 3 - 1, 0 = -4*c + 4*s + 40. Let h be v(c). Differentiate -1 + 0*b**3 + 2*b**h + 0 wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -50*m - 1. Let u(f) = -49*f - 1. Calculate -2*u(c) + 3*y(c).\nAnswer: -52*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -p - 173. Let f = p - 74. Let w be -5 + -1*(3 + -2). Is w at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/5 + 14*w**3\/5 - 14*w**2\/5 - 86*w\/5 + 84\/5 = 0. What is w?\nAnswer: -7, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 11. Let i(o) = -o**3 - 8*o**2 + 5*o + 12. Is 27 a factor of i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46729356411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1520 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 2*c + 138. Calculate s(0).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 divided by 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 9*u - 108. Which is the nearest to -2\/9? (a) u (b) -1 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-60)*-6)\/(((-180)\/(-8))\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/11 - 102\/55. Let f be (5 - 1) + (13\/(-5) - 1). What is the nearest to f in 5, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-112)\/2 - (2 + -4). Let u be ((-1)\/(-3))\/((-2)\/y). Suppose -u = 4*q - 29. Solve q = 2*l - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106841208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -8.1, 5 in decreasing order.\nAnswer: 5, -2, -3, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - t. Let v be a(-1). Suppose r - v*b = -6*b + 12, b = r - 4. Find the first derivative of r*h**2 + 10*h**2 - 11*h**2 + 6 wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.752 + -0.248. Let h = 11 - 16. What is the nearest to -1.4 in 2, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*d, 3*p - 4*d = d + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-11 - -21). Solve -h*i + 4*i + 3*p + 8 = 0, 8 = 3*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -856 + 860. Let t = -3.1 - -3. Which is the biggest value? (a) k (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.048 and -3.325683.\nAnswer: -3.277683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 164168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81663\/56 + -10271\/7. Let u = -71\/8 - g. What is the smallest value in 1, 5, 3\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 3 + y**2 - 1 - 3*y**2. Let l(c) = c**2 - 3. Let i be (-1)\/(-3) - (-16)\/6. Let m(x) = i*w(x) - 4*l(x). Let a(r) = r. Give a(m(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368751729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) -2.2 (c) 4219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 6. Let a(q) = -8*q + 17. Determine -4*a(v) + 11*u(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200011112 (base 3) in base 4?\nAnswer: -232132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let g = -0.5 + 5.5. What is the closest to o in g, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 8*b + 4*b - 8. Let m be i(-6). Suppose -3*f = -f + n + 14000, m*f + 28000 = 3*n. What is f rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508.2 times -4\nAnswer: -2032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1468604683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 1. Let n(q) = -74*q + 37. What is -n(g) - 37*s(g)?\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172830 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 75. Factor 4*o + 4*o**3 + 14*o - 3*o**2 + 36*o**d + 5*o**3.\nAnswer: 3*o*(o + 3)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*z + 13. Suppose 5*s + z*b - 2*b - 9 = 0, -3*b + 8 = 5*s. What is the remainder when 42\/(-189) - 40\/(-18) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(20)\/sqrt(5)) - (sqrt(1152)*2 + sqrt(1152)))\/(-3*sqrt(96)*-4).\nAnswer: -23*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:37 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.9 - -19. Suppose 2*h + 37 = 3*q, 2*q + 3*h - 6 + 3 = 0. Suppose 3*w - 1 = 4*d, -4*d + q = 1. What is the closest to 0 in 4, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(30\/(-36)). Let s = 11\/5 + r. Do -0.02 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 2, v: 1, x: 8, u: 4}. Give prob of picking 2 y and 2 x.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 h when four letters picked without replacement from hhddhhdhhdddhhhhhhh.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, b: 1, v: 2, j: 1, k: 6, p: 2}. What is prob of picking 1 b and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + l - 43, -3*g = 6*l - 10*l - 59. Solve 0 = 7*h + 70 - g for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 + -2?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 112.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 42. What is the remainder when ((-38)\/3)\/((-258)\/f - -4) is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -115. Let q = m + -108. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:57 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.57447m?\nAnswer: 4574.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/4030435 or 0?\nAnswer: 7\/4030435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-20) - (-1)\/2 and (10\/(-360))\/((-1)\/34)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u. Suppose 5*y - 17 = k, 0 = 3*y + k - u*k - 7. Suppose y*z - 4 = 5. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 673*f**5 + 6*f**4 - 8*f - 63. Let b(y) = -y**5 - 2*y**4 + 2*y. Let l(j) = 3*b(j) + k(j). Find the second derivative of l(o) wrt o.\nAnswer: 13400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let g be -1 + (-39)\/(-33) - 46\/132. What is the biggest value in u, 2\/5, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*1\/(-14)*-94.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 1.29917 * -2\nAnswer: -2.59834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**4 - d**2)*(-2 + 1 - 2 + (1 - 2 + 0)*(0 - 2 + 0) + 0 - 3 - 5).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -191 - -1\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*f + 30 = o, -2*o - f = -27. Let g = o - 22. Let i(s) = s**3 + 6*s**2 - 6*s + 10. Let k be i(g). Solve -2 = -h + k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 25 = m, 11*m - 25 = 8*m + 5*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 10*c - 8. Let f be b(-10). Let o be f\/16 - 2\/(-4). Sort o, 3, -2 in increasing order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 - 2.8. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1716 - 1939 = 3*g - 4*p, 0 = 27*g + 5*p + 1993 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/((-84)\/(-64278))*1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 16. Let r be o(-18). Let l(s) = -10*s**2 + 22*s**2 - 13*s**r. Let a(i) = 4*i**2. Give a(l(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.051, 16, 1, -3 in descending order.\nAnswer: 16, 1, -0.051, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*v - 51*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 17*n**2 + 29*n + 5. Give r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55\/72 + 1\/72. What is the third biggest value in q, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.106 - 18.106. What is the closest to s in 0.1, -1, -80\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/3))**(-14)\/((x*x*x**0)\/(x\/(x*x\/x**(1\/4)))))**(3\/26))**12 assuming x is positive.\nAnswer: x**(-267\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-40))\/((-2)\/15*39\/(-52)). Let m(s) be the third derivative of 0*s + 5\/8*s**r + 0*s**5 - 1\/24*s**6 - 16*s**2 - 5\/3*s**3 + 0. Factor m(x).\nAnswer: -5*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 + w + 7. Let k be p(0). Suppose k*v - 3*v = 20. What is the smallest common multiple of 8 and (-1)\/v - 31\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139077.01398 plus 1?\nAnswer: 139078.01398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 - 7*r + 3. Let l be q(3). Let i be (2 - (0 + 6)) + 1*l. Suppose -3*n - 1815 = 3*k, 10 + 15 = i*n. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-543)\/1*4\/6. Let w = 157 + j. Let b = w - -500. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*s - 3*r + 20, 0 = -r + 3. Factor -4*t**5 - 24*t**4 + 6*t**s - 30*t**3 - 14*t**2 + 2*t**5.\nAnswer: -2*t**2*(t + 1)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2892 times -2654.29\nAnswer: 7676206.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:16 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234682 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1975110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1575612 and 787806.\nAnswer: 1575612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003947 to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5614.25627 to the nearest 10.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - sqrt(189)*-2)\/(sqrt(240)\/sqrt(5)) + 2 + 5.\nAnswer: 9*sqrt(7)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09 (b) -1\/17 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 6*x + 8. Let v be b(6). Let d = -10 - v. Does 16 divide d\/9 + (0 - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.883 - -0.4.\nAnswer: -0.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*m**3 - 1 + (m**3 + 3*m**3 - 3*m**3)*(4 + 3 - 4).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, -641, -509 in descending order.\nAnswer: -7\/4, -509, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106535010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16577779429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191 minus -44256?\nAnswer: 46447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*104\/(-91).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 3*j**2 + 11*j + 7. Let g be w(-5). Suppose c - 1767 = -g*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262655297 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5)*-25)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996249017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.03203143 to three decimal places.\nAnswer: -49.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 188\/(-60))*-3. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 4 - -17) + (6 - (1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + (2 - 7))*1. Let z(p) = 10*p**3 - 2*p + 1. Let a be z(1). What is the highest common divisor of y and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t - 21. Let d = t - -15\/2. Let i(y) = y - 5. Let h be i(8). Sort -2, h, d.\nAnswer: -2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - c - 10 - 294*c - 450*c + 521*c + 2 + (-6*c + 3*c + 2*c)*(4 + 3 - 3) + 2*c + 2 - 2 to p*c + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0441*-1438608.\nAnswer: -63442.6128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a*w**3 + 841*a*w**2 + 18*a*w + 232067*w**3 - 2 wrt w?\nAnswer: 84*a + 1392402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 161*h**2 - 4*h + 5. Is a(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 3*i - i)*(1 - 1 + 1)*(-260*i - 3 + 2 - 59*i) as r*i + y*i**2 + s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -15 (b) -2 (c) -156 (d) 7 (e) 4\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -62955*w + 63421*w = 7108 + 36696 for w.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 1472.\nAnswer: 221\/1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5343 is divided by 2652?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkz when three letters picked without replacement from {z: 3, k: 3, b: 4, m: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -303224 (base 6) to base 4\nAnswer: -11320000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*d + 269 = 0, 3*z + 3*d = 70 + 86. Which is smaller: 63 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*20\/(-70) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1223, -768, -309, 154?\n\"Answer: 2*g**2 + 449*g - 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -106*f + 899 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7609 or -7613?\nAnswer: -7609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*s + 2*f, -2*s + 2*f = -0*f - 20. Let c = s + -29. Let m be ((c\/34)\/2)\/(-2). Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 2. Does 3 divide p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/42 and -107\/364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -163, -1, -8, 5 in descending order.\nAnswer: 5, -1, -3, -8, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4834 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyglqqgqjjjpql. Give prob of sequence yyql.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 4, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 7. Is (-4068)\/u - (-2)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 20. Calculate the remainder when b(-14) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -473*l**3 + 121*l**2 + 44*l - 22. Let c(q) = -105*q**3 + 27*q**2 + 10*q - 5. Calculate -5*a(t) + 22*c(t).\nAnswer: 55*t**3 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -246 + 246.0000008415. Round z to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 4*d)*(1 - 3 + 0) + (-2 - 1 + 4)*(d + d + 0*d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 46613928.38 to the nearest ten thousand.\nAnswer: 46610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 18*s + 8. Let h(c) = -2*c**2 + 2. Calculate g(a) - 3*h(a).\nAnswer: 9*a**2 + 18*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008013062 rounded to 7 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.517 - 0.217. Let u = 0.09 - -11.91. Let c = u + -15. What is the closest to 2 in c, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q - 94 = 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 4. Let a(c) = -5*c - 1. Determine a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdqudd. What is prob of sequence qd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(99) + sqrt(99) + -1 + sqrt(99) + sqrt(99))**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 562 - 660. Let i(d) = 3*d. Let p(g) = 5*g. What is z*i(m) + 6*p(m)?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.686 - -1.7. Let t = -0.088 + y. Round t to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/((y*y**(-1\/13)\/y*y)\/y)))*y*y)**(2\/5)*(y\/y**(-6))**(6\/7) assuming y is positive.\nAnswer: y**(496\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z + 19 = 5*h + 43*z, 0 = -3*z - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/702 and 77\/3042.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1536*z - 1548*z - 6 + 42. Sort z, 363, -1.\nAnswer: -1, z, 363","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 654.\nAnswer: 18966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 727*v + 1. Let d be w(1). Let t be d\/21 + (-1)\/(-3). Suppose -s = -f - 17 - t, 4*f - 163 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 133 = -6*f. Suppose 0 = 8*s - 7*s - f. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from hpqeehqiiqqqiq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*g = 3*p - 8, 0 = -p + 4*g - 1. Let l be p + (2\/4)\/(6\/12). Let h = -1599 - -11211\/7. Is l equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5)*x*x**0)**(-1\/57)\/((x**(3\/4)*((x**(5\/4)*x)\/x)\/x)\/((((x\/(x**(2\/13)\/x)*x)\/x)\/x)\/x**(3\/7))) assuming x is positive.\nAnswer: x**(-15833\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -43 + 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 1\/50*b**6 + 12\/5*b**2 - 3\/100*b**5 + 2\/5*b**3 - 12*b + 0 - 3\/10*b**4. Factor q(f).\nAnswer: 3*(f - 2)**2*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 2\/3, -742, 1.3?\nAnswer: -742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 30. Suppose -r + y = 2*b - b, 0 = 3*r - 5*b - 46. Suppose 5*i = s + 772, 15 + 595 = 4*i + 3*s. What is the greatest common factor of r and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 24. Let y(p) = -g*p + 4*p + p. Let v(f) = 6*f**2. Give y(v(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 17*q**2 + 131*q - 146. Suppose 3*h - 28 = -v, 5*h = 6*h + v - 8. What is the least common multiple of h and f(-23)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 less than -985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2)\/(4\/2 - 3) - -5. Solve -c = 3*f + q, c + 4*f + 2 = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:41 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 266*v**2 + 7632*v - 62856 = 0. Calculate v.\nAnswer: 18, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00280231 to 5 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 573 - 563. What is the lowest common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4751 - -4753. Which is the smallest value? (a) k (b) -1\/9 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k**3 - k + 1. Suppose -88 = -c + 3*c + 4*x, c + 3*x = -45. What is the remainder when 1*-2*903\/c is divided by t(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -32*(-2 + 12\/8)\/1. Suppose 4*g + r = 0, 23 + 2 = 3*p - 4*g. Solve -2*b + 3 = -p*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**3 + 0 + 2*l**2 + 22*l + 0*l**6 + 0*l**4 + 23\/70*l**7 + 2\/5*l**5. Find the third derivative of k(d) wrt d.\nAnswer: 1656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 + -1 + (17 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*p - 9 - 1 = 0, 5*p = 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 664983300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by -320911\nAnswer: -139\/320911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4012 by 34.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + 0 + 0)*(4*t + t + 2*t) + (2 + 2*t - 2)*(-t + 2*t + 0*t) to the form a + r*t + m*t**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073979784 rounded to 7 dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1*3\/94)\/((-148)\/(7696\/(-39))))\/3?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*10\/(-15)*6\/8. Factor 3\/2*t + r + 3\/2*t**2 + 1\/2*t**3.\nAnswer: (t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -1. Let h = l - 7.2. Which is the third biggest value? (a) h (b) 1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/26*221\/(-884)*(48\/(-10))\/3.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -1 + (-2 - -3). Let t = 53 - v. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + c - 1008212 = 0, 4*y - 12*c - 806578 = -10*c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8))\/d)**31\/(d**(4\/7))**(-2\/179) assuming d is positive.\nAnswer: d**(-310736\/1253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 1\/12, -26347, -0.2, -0.4, -18.9?\nAnswer: -26347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/3 - 296530*c**2\/3 - 98843*c = 0. Calculate c.\nAnswer: -296529, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19733)\/(-2819))\/((-34)\/6*7).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7077409.29ms in weeks?\nAnswer: 0.011702065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 1. Let i be r(1). Let s be 1\/i - (-33)\/(-9). Let n(m) = -m**3 + 6*m**2 + 8*m - 5. Let b be n(7). Put b, s, 5 in increasing order.\nAnswer: s, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5248 - -0.2.\nAnswer: -5247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52831 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -833 - -2848. What is the greatest common factor of 65 and p?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -10.939.\nAnswer: -11.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:30 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, u: 6, y: 5, o: 1}. What is prob of sequence jou?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9977761 and 69425.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/(-9) + 2\/(-9). Suppose -6*y + 4*y = -66. Let b = 38 - y. Is w at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + g - 23, 5*z - 5*g - 3 - 2 = 0. Let h be ((-3)\/(-5))\/(z\/40). What is the third derivative of -5*u**6 - 3*u**2 + 4*u**6 - 7*u**2 + 4*u**h wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*x + 0)*(-2 + 2 + x) + (x + 2*x - x)*(-3 + 3 - 3*x) in the form b*x**2 + n + z*x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1208 + -1203. Solve -v = 4*a - 5, 0 = 3*a - a - m*v + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151672*f + 151843*f - 165 = -3585 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 106.\nAnswer: 26818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306526583 to the nearest integer?\nAnswer: 17508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dfdffffddedddffddd.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011000101101101 (base 2) in base 3?\nAnswer: 212221122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*v - 5*y - 10, 4*v = -4*y - 8. Let z = v - 3. Let p be (z - 10\/(-7))\/1. Which is the third biggest value? (a) 5 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-315)*(-32994)\/(-156) and -61\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:25 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**8\/q)*q*q*q*q*q**(-5)*q*q*q*q*q*q*q)\/(q\/(q**5*q)*q**(11\/7)) assuming q is positive.\nAnswer: q**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.3260517 - -8.3181. Round s to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 + 997. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = -58. Let f(k) = k**3 + 7*k**2 + 2*k + 8. Let j be f(-7). Let o be z\/24 + 12959996\/j. Round o to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22982935 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2453 + 2453.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 60*c - 56*c + 12 = 0, -6 = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + 126\/35. Suppose f = 4*i + 1074, 0*i = -l*i. Let c = f + -433. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-59)\/6 + (-3)\/18. Let a be ((-5)\/t)\/((-2)\/(-12)). Let x = 17 - 18. What is the third smallest value in x, a, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1. Suppose 2*t = 6*t + 4. Suppose -s + 1167 - 1117 = 0. Let v(z) = 3*z**2 - z**2 + s - 102 + 49. What is t*v(i) + 2*a(i)?\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Is 164 + (1 - 7) + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/11, -5, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(3\/8))))\/(h*h\/h**(-34))*(((h*h**(-6\/11))\/h)\/h*h)\/(h**(-8\/7)*h) assuming h is positive.\nAnswer: h**(-22039\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499613?\nAnswer: 2499613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 18 = 5*l, -4*n + l + 6 = 0. Let h be n\/(-1) - (-12)\/8. Which is the closest to 3? (a) h (b) 2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/12*(-77)\/(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 + 238*v**3 - 25578*v**2\/5 + 180418*v\/5 - 422576\/5.\nAnswer: 2*(v - 7)**3*(v + 616)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*p**3 - 3*p**3 - 2*p + 14 - 6 - 143 wrt p.\nAnswer: -39*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -3*a. Let l(t) = -t + 2. Let y be l(a). Let k(b) = -1 - 1 - 1 + 10 - b**2 + b. Calculate k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 112371, 1 in decreasing order.\nAnswer: 112371, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35134.1 + 35134. Let w = -7 + 12. Which is the nearest to p? (a) -4\/11 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-21)\/(q**13\/q))**(-2\/31))**(-27\/5) assuming q is positive.\nAnswer: q**(-1782\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0305747 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:15 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2816 * 829\nAnswer: -2334464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78935043?\nAnswer: 3, 11, 47, 50893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 792a + -3?\nAnswer: 7927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4667805179 to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 270 = 7*m. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let h(v) = 61*v**2. Calculate o(h(q)).\nAnswer: -7442*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -58, 1.8, -21 in decreasing order.\nAnswer: 1.8, -4, -21, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8\/19*u**4 - 2\/19*u**5 - 8\/19*u**3 - 4\/19*u**2 - 4\/19 + 10\/19*u = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Suppose p*d + 12197110 = -2*n, d = 3*n - 7*n - 2439422. Let y = d + 4439422. Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 6*z)*(4 + 0 + 2) - 2*z + 3*z - 3*z - 1 + 1 - z + (-1 + 1 - z)*(-4 + 0 + 2) + 2*z + 3 - 3.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1503197733 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/23)\/(3 + -5). Let h = -7 - -11. Let w = 52.8 + -51.6. Which is the biggest value? (a) h (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 641664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 16 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 131. Let l be o(44). Let h(r) be the third derivative of -r**6\/120 + r**5\/30 - r**3\/6 - 17*r**2. Give h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133\/755 in 0.3, -2\/21, -1\/7, 4\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111, 4488, 10147, 18094, 28335?\nAnswer: 40876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*(7230\/810 + -9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z**2 - 3*z**3 - 24*z**2 + 37*z**2 + 15*z - 8*z**2 + 45*z = 0. Calculate z.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407193560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*m - 4 = 0, -5*c - 3*m + 19 = -4*m. What is the greatest common factor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2 + 10. Let n be 32\/20 - q\/10. Suppose -n*a = a. Solve a = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11134693\/1131 - -9845. Is l bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9559 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/6 + 886*s. Let m(b) be the third derivative of 67*b**5\/60 + 26*b**2. Calculate v(m(l)).\nAnswer: 67*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 84 = -12. What is the highest common divisor of o and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*z = 8*z + 690, -5*d + 3*z = 658. Let q = d + 135. Suppose 0 = 2*j + 3*u + 10, 6 = 2*j - 2*u - 4. What is the greatest common factor of j and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**5))**(14\/3) assuming f is positive.\nAnswer: f**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + (-23528)\/12. Let f = -571 - i. What are the prime factors of f?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2412 + -2815?\nAnswer: -5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1747 - 17*u + 1747)*(3 - 3 + 5*u)*(-3*u + 0*u + 4*u)*(-1 - 1 + 1).\nAnswer: 85*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 782*c**3 - 353*c**3 - 350*c**3 - 75*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 51. Let m be 1\/(1\/o) - 7. Do -3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1316746 and -42008.\nAnswer: -42007.8683254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypyp when four letters picked without replacement from yypyyyp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/5 - 306*r**3\/5 + 852*r**2\/5 + 3906*r\/5 - 891 = 0. Calculate r.\nAnswer: -3, 1, 5, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 12*h**2 - 4*h - 4. Suppose -6*b + b + 430 = 0. Let r = b + -98. Does 14 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**2 + 6*b - 6. Let u(v) = 259*v**2 + 119*v - 119. Determine -119*r(s) + 6*u(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27) - ((-60)\/(-27) + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 679 - 670. Let x be (12\/n)\/((-112)\/36 - -4). Factor -x*u**2 - 363\/2 - 33*u.\nAnswer: -3*(u + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 39 - (-1 - -3). Let o be (4\/s)\/((-6)\/(-14)). Let u = -157.342 + 157.742. What is the second biggest value in 3, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 10*l - 25. Suppose -8*p = -11*p + 36. Let k be c(p). Which is smaller: 1\/151 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 771, 790, 815, 840, 859?\n\"Answer: -u**3 + 9*u**2 - u + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 - 11?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 7749?\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*((-6)\/156*22\/(-11))\/(6\/78).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261539038 and -1?\nAnswer: 261539038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364175538.\nAnswer: 2, 41, 28831409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnn when four letters picked without replacement from {r: 6, m: 2, a: 2, i: 2, o: 1, n: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*s + 3397 = 0, 3*s = -18 + 6. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19099\/16 or 2.8?\nAnswer: 19099\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 not equal to -93177\/5330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*1 - (sqrt(7) - (sqrt(7) + -5*sqrt(7)*2)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.9 + 13.93. Which is the closest to i? (a) 2 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -2, 1 in increasing order.\nAnswer: -2, 1, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 32 = -21*g. Suppose g*y - 5304 = -480. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232076 is divided by 77327?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = -1383 + 1443. Let p = 12 + -9. Solve 2*s + 5 = p*i, -f*i + 3*s = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*a - 2*m, -a + m + 16 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 s when three letters picked without replacement from assaaasaaaa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + o**4 - 107*o**2 + 2*o**4 - 2 + 111*o**2 as y*o**3 + s*o**4 + i*o**2 + v + n*o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266493292 by -7838038.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r + 4. Let s = 7 - 5. Let f = s - 2. Let a be o(f). Sort a, 3, 5 in decreasing order.\nAnswer: 5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let z = -7 + 7. Let d = 2 + z. Let p(f) = 4*f**2 - 6*f**2 - d*f**2. Give p(s(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*w - 2*w - 22, -2*w - 4*a = -10. What is the smallest common multiple of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**45*a\/(a*a**(1\/4))*a**(4\/9)\/a)**(-5\/11) assuming a is positive.\nAnswer: a**(-16055\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = -4*t + 13, 0 = -2*t - 3*k + 10. Let s(f) = f**2 + 3*f. Let l(c) = -c**2 - c. Calculate t*s(q) - 3*l(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*d - 20, -2*o + 4*o + 3*d = 15. Let j be (4\/(-5))\/((-4)\/(-10)). Let c be (-52)\/9 + 8\/(-36). Put c, o, j, 1 in decreasing order.\nAnswer: 1, o, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 3. Let l(z) = z + 2. Let a(j) = -3. Let k(p) = -1. Let b(d) = -4*a(d) + 11*k(d). Determine m*b(g) + l(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 11*l - 9. Let n be u(-8). Let p = n + -399\/2. Is p at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 47*b - 422. Determine x(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(980))\/((sqrt(120)\/sqrt(2))\/sqrt(6))*3)**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i - 4. Let s = 4 + -2. Let a(w) = 11*w - 9. Let t(d) = 16*d - 13. Let j(v) = 7*a(v) - 5*t(v). Let g be j(s). Calculate k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - 253144?\nAnswer: -253062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25\/7 (b) -0.1 (c) 0.785\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 + 3 + -2 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920\/(-16)*(-1 + 0 + -3) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 221\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 60. Let d(u) = -2*u + 30. Let o(f) = 3*b(f) + 5*d(f). Let j be o(23). Calculate the highest common factor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3 + 3)*(0*k + 4*k - 3*k)*(-2 - 1 - 1)*(-2*k + 2*k + 2*k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpmpphmxhg. Give prob of picking 2 x and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23432898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g - 3*g - g + 2*g + (4 - 3 + 0)*(0*g + 0*g + g) - 118*g - 27*g + 17*g + 0*g - g + 2*g)*(-5 + 4 + 2) in the form a + v*g and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - 1 - (65 + -40 - 34)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 + 18*f**2 + 198*f + 8. Let u be p(-7). Calculate the highest common factor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154500*u - 2054 = -154454*u - 352 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.123, -1.4, -1?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58156 take away -34.9332?\nAnswer: 34.35164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -54*d**2 + 8*d + 545. Let t(u) = -27*u**2 + 4*u + 274. Let q(f) = 3*h(f) - 5*t(f). Differentiate q(p) with respect to p.\nAnswer: -54*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 338. Let h be s(0). Let q = h - -3. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.37 + 0.63. Let n = c - 38. Let o be 1\/(2\/(-8)*5). What is the closest to n in -2\/9, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 + 1909*c. Let q = -3 + 6. Let s(z) = -q*z + 8*z - z. Calculate s(p(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 6, 33, 60?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -35.8422 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0) + 3 - (-7 - -4). Let a(g) = g - 5 - z + 5 + g**2. Let u be a(2). Solve 2*b + 16 = 4*y, -u*y + 3*b = -2*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**23*l\/l**(3\/14)*l\/(l\/(l\/(l\/(l*l*l**(-2\/31)))))*l\/(l*l*l*l*l**(-1\/13)))**41 assuming l is positive.\nAnswer: l**(-5135783\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/(2\/(-5)). Let o(s) = -5 - s - s**f - 6*s**2 - 3*s**2 - 4*s**2 + 2*s**2. Let m be o(-11). Solve -8 = 4*b - 4*p, 4*b - m*b - 5*p = -31 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from vvj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 0*x**2)*(-x + 1 - 1) + 2*x**3 - x**3 + 0*x**3 + 7*x**3 - 3*x**3 - 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let r(x) = 2*x**2 - 5. Suppose k - 5*k = 20. Let n(b) = -2 + 1 + 2. Let o(c) = k*n(c) - r(c). Calculate p(o(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7964 - -7756. Which is greater: b or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26, 1, 2, 0.\nAnswer: -26, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q, -2*o - o = q + 11. Let f be (-2 - o)\/(1\/27*3). What is the first derivative of -2 - 10 - 21*n**2 - f wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:22 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 2 x when four letters picked without replacement from utbuxtnutx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128724 - -128727. Suppose 954\/7*g**2 - 276\/7*g - 555\/7*g**n + 24\/7 - 432\/7*g**5 - 1416\/7*g**4 = 0. Calculate g.\nAnswer: -2, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Let l be -1 - (0\/(-1) + -17). Let q(u) = 2*u**2. Let z(h) = 10*h**2. Let t(k) = l*q(k) - 3*z(k). Give t(m(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13005 divided by 51?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526067215*h**5 + h**2 + 535762510*h?\nAnswer: -10521344300*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/(-2*1*sqrt(7)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -38, 2, 1, -158, -1 in increasing order.\nAnswer: -158, -38, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 + 113.003. Let b = q + -0.103. What is the third smallest value in -2, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -276, -0.0055, 9\/5, 0.5, 3?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 8*i**3 + 2*i**3 - 2*i - 3*i**3 + (-4*i**3 - 7 + 7)*(0 - 2*i + 0).\nAnswer: 9*i**4 - 9*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3156506, -6312963, -9469420, -12625877, -15782334?\nAnswer: -18938791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 27*x - 54 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4 + 132*m**3 + 48*m**2 - 1648*m + 2112 = 0. Calculate m.\nAnswer: -4, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59045488 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272352 and 612792?\nAnswer: 2451168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - (-3 + -2)) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 15 - ((-11 - -2) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-8) - 13\/52. Let v be (11 + -1)*1\/w. Let d(u) be the second derivative of -2*u**3\/3 + 5*u**2\/2 + u. What is d(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 10 - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142186178327.579508 + 142146049442.58. Let o = v - -40129017. Let k = o + -132. What is k rounded to five decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q + 50 + 130 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90829 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13961 is divided by 1264?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -5, -51557.9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/12 + 1\/(-6)*1. What is the biggest value in 1\/2, n, -0.1, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 99 + 41 = -5*m, -4*q - 2*m + 178 = 0. Suppose -3*r = 2*h - q, 3*r - 120 = -4*h + 7*r. What are the prime factors of (-670)\/(-18) - 6\/h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:34 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-81) - 8\/9. Which is the fourth biggest value? (a) -1 (b) -4\/7 (c) t (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -29*f**3 - 4*f**2 + 7*f - 3. Let i(h) = -15*h**3 - 2*h**2 + 4*h - 2. Calculate 7*i(r) - 4*t(r).\nAnswer: 11*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26b66 (base 13) to base 6\nAnswer: 1314251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/18 + (-124)\/6. Let j be s\/(-12) - (-5)\/4. Suppose -8 = -4*g - 2*z, 0*z - 6 = -2*g - 2*z. Solve 17 = -j*y + 4*d, 0 = 3*d - 5 - g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -b + 826, 0*b - 5*o - 4005 = -5*b. Suppose -9*s + 7*s + b = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603 + -603. Let s be -50*(0 + -2)*1. Let d be (s\/30)\/((-4)\/6). Sort -0.2, -0.5, f, d in increasing order.\nAnswer: d, -0.5, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 651 and 57381?\nAnswer: 401667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23739340 to the nearest integer?\nAnswer: 4872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 92, -27563, 4, -6 in decreasing order.\nAnswer: 92, 4, 0, -6, -27563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -2fa34?\nAnswer: 2fa43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)\/v**(1\/4)*(v*v\/v**(-1))**45 assuming v is positive.\nAnswer: v**(537\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6970*d**3 - d**2 + 293.\nAnswer: 20910*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -1 (b) 8 (c) -0.266 (d) -0.04 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 4\/10*25\/(-5). Let m(a) = -a**2 + 7*a - 1. Calculate m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341456 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 3239*m + 19381. Determine u(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 3*u + 5. Let x be r(0). Suppose 0 = -5*v + x*g - 15, -v - g + 3 = -2. Is (-1)\/(v*(-5)\/10865) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2 - w + 1. Let l be j(1). Let q = -15\/2 + l. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, w: 4, m: 2}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/717*4*-216*(-308)\/266112.\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a + 3*a)*(0 - 13 + 7 - 8 + (-2 + 1 + 0)*(-1 - 1 + 4) + 1 + 4 - 4 + 3 + 3 - 5).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -439788*q**2 - 936725 wrt q?\nAnswer: -879576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/13*d + 16\/13*d**3 + 2\/13*d**2 - 2\/13*d**4 + 0 = 0. Calculate d.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -7) + 8 - 32 - (-7 + 19)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(5*30\/(-500)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1122503350 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 9 + 9 + 11*m**2 - 2*m**2.\nAnswer: 9*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15476 and 455270.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1729, 0.2, -419\/4 in ascending order.\nAnswer: -1729, -419\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*119\/153*3*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 4*f)*(-103 + 22 + 41) + f - f - 2*f + 2.\nAnswer: 38*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*h = 2*h - 26, h = 4*t - 30. Let j = t - 5. Suppose 2*m - 127 = -j*d, -3*m + 69 = 3*d - 117. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (16 - (-2 - (-8 - (-12 + 9)))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1278 + -1276. Solve -2*w = -d*a, 4*w - 6*a + a = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 542 - 538 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2361909*180\nAnswer: 425143620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((14 - -5) + -32 - (35 + 4 + -5)) + -14\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*t - 4. What is the remainder when 19 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1682709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -79. Suppose -2*s + 3*j = -82, -2*j = -s - l + 68. Calculate the remainder when s is divided by 0 - -1*(-5)\/(15\/(-57)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l = 103*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112219, -224486, -336755, -449026?\nAnswer: -561299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 - 108.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -31*h**3 + 645 + 11*h**2 - 653 - 14*h**2. Let m(j) = 21*j**3 + 2*j**2 + 5. Give 8*m(v) + 5*y(v).\nAnswer: 13*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/7 - 382*q**3\/7 - 7034*q**2\/7 - 33330*q\/7 - 26676\/7 = 0. What is q?\nAnswer: -171, -13, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - 53*d + 26. Let j be p(-10). Let k be 16\/(-264)*j\/12. Let z be 24\/9 - 4\/6. Sort z, -0.4, 0, k in decreasing order.\nAnswer: z, k, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 7, -1, 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-38 - -11 - -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1424\/128*-5 - (-3 - 27\/(-8))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 96\/29, -4061, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 207064818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/45)\/((-495)\/(-150))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + (-31 - -45).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/6 + 11\/4. What is the common denominator of a and 131\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, -18, -42, -66, -90, -114?\n\"Answer: -24*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 194 - 194. What is the second smallest value in v, 2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 1. Let m(i) = -i**2 - 12*i - 29. Let y be m(-9). Let z(v) = v**2 - v. Determine y*z(n) - t(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and 59\/82213555.\nAnswer: 328854220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.71 - -0.29. Which is the second smallest value? (a) -4 (b) -0.19 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27399543509 minus -0.03?\nAnswer: 27399543509.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5*c**7\/14 - 35*c**4\/12 - 30*c. Find the third derivative of a(h) wrt h.\nAnswer: -900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -631330, -631300, -631214, -631042, -630754?\n\"Answer: 5*f**3 - 2*f**2 + f - 631334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(68)\/sqrt(4) + -2) - (((2*sqrt(204) - sqrt(204)) + sqrt(204))*-5 - sqrt(204))\/(-3*1*sqrt(12)))**2.\nAnswer: 260*sqrt(17)\/3 + 11717\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67.225407 and 0.4?\nAnswer: 67.625407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851420457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*a + 1\/7*a**2 + 0.\nAnswer: a*(a - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-110)*-11*4. Put 1\/3, r, -3 in decreasing order.\nAnswer: r, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/3, 1346\/7, -0.4 in ascending order.\nAnswer: -0.4, -1\/3, 2\/7, 1346\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10212 - 13310?\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 5*d + 6. Let g be t(1). Let x = -211 - 79. Let s = x - -1735\/6. Which is the second smallest value? (a) g (b) 2.9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*b + 13682 = 2233*b - 20878 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*n - 58*n - 64*n - 59*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 744255 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 0*v - 5*v)*(1 - 10 + 0 + (4 - 5 - 1)*(1 - 3 + 3))*((0 + 4 - 3)*(-1 + 2 - 3) + 3 - 4 + 0) to a*v + z and give a.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40a4 + 49?\nAnswer: -4057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16123\/8 - -2009. Let f be 1\/5 + (-70873)\/354915. Let v = -535607\/25812 + f. What is the common denominator of v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:14 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13*r = 270. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -0*t - t. Let j(v) = -8*v - 1. What is the remainder when t is divided by j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*f + 4 - 9 = 0, -3*w + 35 = -4*f. Suppose -w*g + 8*g - 5*u - 280 = 0, 0 = 5*g + 4*u - 442. What is the smallest common multiple of 5 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1829 divided by -10547\nAnswer: 1829\/10547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/(20\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = 4. Suppose m*c - 3 = f, 2*c + f = 6*c - 11. Let u = c + -4. Solve -20 = -u*a + 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 21144.\nAnswer: 21144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -55 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2048)\/48)\/((820\/30)\/(-41)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -37?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/24 + 3*n**4\/4 + 5*n**3\/6 - 7*n**2. What are the prime factors of i(4)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 take away 4754168.852237?\nAnswer: -4754030.852237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96202.3419 nanoseconds in weeks?\nAnswer: 0.00000000015906471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 7 = 2*t, 2*t = o - 2 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16325a + 8?\nAnswer: -163252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 2*sqrt(136))\/sqrt(8))**2 + 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*f = -87*f - r - 126, -2*f - 5*r = -84. Sort -3, f, 5, 3 in descending order.\nAnswer: f, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 58*k - 61*k - 16, 3*k + 9 = -3*r - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1b8397?\nAnswer: 1b8396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32182 - 22552. Suppose 17*m - v = 159860. What is m rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 242. Let g be c(26). Let l = 228 + g. What is the remainder when l is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-25))\/((-6)\/(-15)). Suppose 0 = -3*v + 3 + 9. Suppose a + v*o + 4 = -3, 3*o = 3*a + 6. Put a, 5, 0, f in descending order.\nAnswer: 5, 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 3 + 3 + 2 + 12*d - 14*d - 2*d**3 as r*d + l*d**2 + s*d**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**3 + 21982*r**2 - 3273256*r wrt r.\nAnswer: -30*r + 43964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9936 divided by -302?\nAnswer: 4968\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2656\/357896)\/((-8)\/44).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 424769346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011000 + -110?\nAnswer: -1100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10 = 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let m = -55\/98 - -3\/49. What is the closest to m in 3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14099920 divided by -145360?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*k + 80 - 81 = 0, -5*x = 14*k - 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*t**2 + 40 + 1174*t - 569*t - 579*t.\nAnswer: -2*(t + 1)*(7*t - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjejjccejcjw. What is prob of sequence ceje?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4470201339.\nAnswer: 3, 103, 601, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 813 + -809. Suppose r*x - 4*m - 8 - 4 = 0, -4*m = 0. Put -5, -1, x, 35 in increasing order.\nAnswer: -5, -1, x, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/12)\/((32\/(-36))\/4). Sort 0, l, -0.4, 0.02 in ascending order.\nAnswer: -0.4, 0, 0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-26)\/(-390)*165?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 + 261 = 0. Suppose 4*f + 8 = -0. Let l be f\/3 - m\/3. Calculate the greatest common divisor of 100 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/28*25\/(-200))\/((-9)\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5391 + -0.0461. Let l = -31 - -30.53. Let v = w + l. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ipjpyiijijijp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*j**3 + 2\/7*j + 2\/7*j**2 - 2\/7.\nAnswer: -2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 0.4, 374\/5, 1\/7, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2003*w - 2037*w + 3996*w.\nAnswer: -44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddwd when four letters picked without replacement from dddddndwdwddndddn?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115492 and 286.\nAnswer: 1270412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97\/1455 + -1 + (-8)\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18 - 89*b - 9 + 113*b + 10. Is m(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 0*q + 0*q)*(-1 + 3 + 1)*(-3 - 2 + 4)*(-13 - 7 - 1).\nAnswer: -126*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/121 (b) -2 (c) 3 (d) -2\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -2 + -1 - (-1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*m + 3, -2*m = -0*m + 2*u + 2. Which is the nearest to 0? (a) -0.2 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 17*x + 221. Let t be b(-12). What is the derivative of 42*p**3 - 175 - 52*p**3 + t - 41 wrt p?\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81062368 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 78\/15)*10\/(-4). What is the hundreds digit of (-4 + (-19840)\/(-50))\/(v\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/5 + 30654*n**3\/5 + 91974*n**2\/5 + 91978*n\/5 + 6132 = 0. What is n?\nAnswer: -1, 15330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.7, 1\/27, -2\/3 in descending order.\nAnswer: 3, 1\/27, -2\/3, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018 and 0.316?\nAnswer: -0.005688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -9 = a*p - 4*p. Suppose 0*b + 20 = 5*b. Solve -3*y = -5*r, -y + p - 2 = -b*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.7 + 40. Let z be (-3)\/(-9)*2\/(-3). What is the biggest value in h, z, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128362048 to the power of 1\/2, to the nearest integer?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.679\nAnswer: 1.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 14655.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2471, 4943, 7433, 9935, 12443?\nAnswer: 14951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.09, 0.2, -2\/15, -0.11, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3\/3 - 68. Let s(k) = 22*k - 1. Calculate s(t(p)).\nAnswer: 44*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 44 in increasing order.\nAnswer: -2, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 32\/(-10). Let z(q) = 3*q**3 + 10*q**2 - 8*q + 5. Let f(t) = -2*t**3 - 9*t**2 + 8*t - 5. Let y(x) = c*z(x) + 4*f(x). Determine y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -110013?\nAnswer: -103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000600409 rounded to seven decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -102*q**3 + 3*q**2 + 2*q - 2. Let p(u) = -101*u**3 + 3*u**2 + 3*u - 1. Let k(o) = 2*p(o) - 3*v(o). Let b be k(-4). Round b to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-29)*s*s**(-16))**2 assuming s is positive.\nAnswer: s**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 16. List the prime factors of g(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16a341 + -5?\nAnswer: 16a337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 6. Let k be a(4). Suppose 2*s - i = 253, -4*s + 528 - 27 = 3*i. What is the greatest common factor of s and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.5 and -1253133.79802?\nAnswer: 1253142.29802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7815, -15732, -23649, -31566, -39483?\n\"Answer: -7917*o + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -43*b - 583. Is v(-88) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73.3 in -1\/7, 5, 2\/9, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 24*k - 4. What is l(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + (-2 - -3)) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*z + 6*z = 43, -2*z - 29 = 3*c. Let v(b) = -2*b - 2*b + 2*b + 3*b + 22. Calculate the remainder when 24 is divided by v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34348, -34550, -34892, -35374, -35996, -36758, -37660?\n\"Answer: -70*l**2 + 8*l - 34286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l + 188*l = 4380. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210571\/11919 - -2\/11919. Calculate the common denominator of 109\/3720 and g.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 5, 0, 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/4 + 17*x**3\/3 + 12*x**2 + 128*x - 233. Let a be l(-16). Let 1\/6*v**3 + a - 1\/3*v**2 + 0*v + 1\/2*v**4 = 0. What is v?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 8, z: 1, j: 6}. What is prob of sequence jj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(12)*1*-1) - (-2 + sqrt(112)*1 + sqrt(112) + sqrt(112))) + ((sqrt(175)*2 - sqrt(175)) + (sqrt(7) + 0)*4)*-3)**2.\nAnswer: -160*sqrt(7) + 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 6*q. What is the closest to q in 0.2, -4\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -4 (c) 47 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1158463729*q**3 + 528630325*q wrt q.\nAnswer: 6950782374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 2*f)*(0 + 6 - 3)*(-564 + 7*f**2 + 564).\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.7 + 36.9. Let r = -58.6 + k. Let u = -8 + 3. Sort 2\/9, r, u, -4 in decreasing order.\nAnswer: r, 2\/9, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27729*d + 2537*d = 1638794 + 540358 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23)\/(-3)*(3 - 3*-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1. Let s(i) = -1. Let m(n) = -2*n + 10. Let z(w) = m(w) + 5*s(w). Let r = 7 - 5. Suppose -4*b - 2 = r. Give b*z(u) - 5*q(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 10*l**2 + 11*l + 4. Calculate the smallest common multiple of 32 and a(9).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 52021.6 and 0.03.\nAnswer: 52021.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 = -5*i + 2692. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - h = -60 + 14, 3*t - 3*h = 6. Suppose 0 = -4*l + l + 36. Solve t = 2*v, 2*s - 2 = -v + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65539426?\nAnswer: 2, 107, 306259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.85869 litres in millilitres?\nAnswer: 5858.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1653.4590792 and -0.4.\nAnswer: 1653.0590792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 + 157. Is 23 a factor of (0 + z + 3)*79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1237*f**2 - 6*f - 12. Let w be a(9). Let o be (w\/(-30))\/(-1) + -1. Let g = -3346 - o. Find the common denominator of 57\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-3) - 12\/18. Let p = i - -13. Suppose r = -3*c - 6, -p*c = -3*r + 2 + 19. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6369 - -6381. Calculate the greatest common factor of y and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -644*g**3 - 3*g**2 - g + 6. What is s(1)?\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(5\/(-28)) - (706 - 737). Let x = 315 - 615\/2. Find l such that -3*l**2 - r - 6*l**3 + x*l - 3\/2*l**5 + 6*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*b**2 - 28*b**2 - 31*b**2 - 175*b**2 - 27*b**2 + 50*b**2 - 23*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(51 - 9*y - 51)*(-y**3 + y**3 - y**3) + 3*y**4 - 92*y**4 + 22*y**4.\nAnswer: -85*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**30\/(x\/(x**(-6\/11)\/x*x)*x\/(((x**(-2\/13)*x*x)\/x)\/x)*x) assuming x is positive.\nAnswer: x**(-4819\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrwmmww. Give prob of sequence wmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/19))\/(v\/(v**(3\/8)*v)))**(1\/5)\/((v\/((v*v*v*v*v**(2\/9))\/v))\/v*v**4)**21 assuming v is positive.\nAnswer: v**(-7313\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1063\/9 - 118. Let n = 0.03 + -0.43. Let t = n + 0.1. Which is the biggest value? (a) t (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 803 - 1318. Let j be 5\/(25\/2)*w. Find the common denominator of j\/(-48)*(-4)\/(-3) and -7\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -23.68. Let r = 0.32 - y. Which is the closest to r? (a) 0.4 (b) -0.15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11\/(((b*b**(2\/25)*b)\/b)\/b))**(-2\/9)*(b**(7\/2)\/((b*b\/(b*b**8)*b)\/b))\/(b**1*(((b**8\/b)\/b*b)\/b)\/b) assuming b is positive.\nAnswer: b**(311\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/12 + k**3\/2 + 16*k**2. Calculate g(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429654 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 + -5 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 - 158 + 21*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 5*n**2 - 2*n + 2. Let g(f) = 5*f**3 + 4*f**2 + 3. Determine 2*g(b) - 3*o(b).\nAnswer: -2*b**3 - 7*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (932 - 6) + 9 - -3. Let j = 968 - v. What is the lowest common multiple of (2\/2)\/(1\/9) and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(1\/18). Calculate the common denominator of -93\/2 and (-50*9\/(-12))\/w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210 - 213. Let o be (-2)\/(-3) + 17\/(-3). What is the closest to 1 in o, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 11, 8 in descending order.\nAnswer: 11, 8, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 0.7. Let w = 4.12 + -0.12. Let m = -1.9 - -2. Which is the closest to m? (a) 3 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/p)**(-2\/59))**(-33) assuming p is positive.\nAnswer: p**(264\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6407 = -121*b + 119*b, 4*b - 12811 = -n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214442 (base 5) in base 9?\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 11*p**2 + 3*p + 2. Let y be d(-6). Let l be (38 - 2)*82\/15. Let o = y + l. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*h + 45. Suppose 3*p = 3*g, h*g + 20 = 2*p + 6*g. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 u when four letters picked without replacement from uhhuhhhuuuhhhhhhhhhh?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 12. Let c(r) = 3*r - 25. Give -5*a(z) + 3*c(z).\nAnswer: 4*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/30*k**5 + 39\/20*k**6 - 1\/6*k**3 + 2*k**2 + 0*k + 1\/12*k**4 + 0. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10044 - 80195 - 39456 - 17874 + h.\nAnswer: h - 147569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5622 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*n - 1061, n - 193 = 5*d + 8. Suppose -3*z = -0*f - 5*f - n, 251 = 3*z + 5*f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -253*r + 264*r + 11, -4*r - 4 = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 534 = -2*c, z - 116 = -c - 4*c. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 99, 3, 1, 5, 4 in increasing order.\nAnswer: -5, 1, 3, 4, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -23*r**4\/24 + 71*r**3\/6 + 12*r**2 + 1. Let y be q(3). Solve 12 = -2*g + y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 - (-360)\/160. Solve 0*q + 9 = j*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 6*s + 6. Let w(f) = -f**2 + 7*f - 7. Let d be 5*((-18)\/10 + 6\/2). What is d*w(z) + 7*a(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/5)\/(12\/3). Solve 0 = 5*z - 4*a + 17, z + a = -l*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4)*4\/(-6) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 415, -12, 14 in ascending order.\nAnswer: -12, 0, 3, 14, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -21*u**3 - 5. Let p(l) = 20*l**3 + 4. Determine 4*c(h) + 5*p(h).\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573.\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x - 19*x - 35*x + 80 - 77 as m*x + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1896 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 305, 531, 809, 1139, 1521?\nAnswer: 1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 + 6*u + 14. What is x(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/8 - 6\/12. Solve h = -4*r + 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-3 - 27\/(-12)). Let d(i) = -i**3 - 9*i**2 - 9*i - 3. Let g be d(k). What is the highest common divisor of 45 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12253 - -23416. List the prime factors of c.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 45443?\nAnswer: 363544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2025 and 92097?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, 3, -0.0479.\nAnswer: -0.2, -0.0479, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 338, 1093, 2550, 4943, 8506, 13473, 20078?\nAnswer: 28555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3456972, 6913939, 10370906, 13827873, 17284840, 20741807?\nAnswer: 24198774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*1*sqrt(228))\/sqrt(12) + (-1*sqrt(475)*5)**2).\nAnswer: 2*sqrt(19) + 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:44 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 123304000 (base 5) to base 6\nAnswer: 20534321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = 0, u - 1 - 19 = 2*w. Suppose -5*n = 4 - u. Let x(m) = -8*m**n + 2*m**2 - 2*m**2. Let p(f) = -2*f. What is x(p(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**5 + 13932*a**4 - 2786*a**3 = 0.\nAnswer: 0, 1\/5, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-26 - -11) + -7 + 2 + 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (21 + -10 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 64. Let f be 1\/21 + r + 0. Let o = -10 - -10. Is f bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815220656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(9\/(-6)) + 3. Suppose 3*p + 194 = u*w, 2*p = -2*p + 8. Which is smaller: w or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllppllllllllblbbbll. What is prob of sequence bbb?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623716, -623717, -623718, -623719, -623720?\nAnswer: -623721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -20\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 - 2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 + m**4\/3 - 5*m**3\/6 - m**2. Let k be s(7). Let z = 1.1 - 1. Which is the closest to z? (a) k (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. What is the first derivative of 29*t**4 + 3 - 26*t**4 - p - 1 wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 70.48. Let n = g + 0.22. What is n rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:42 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -77.1. What is the nearest to l in 2, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 3, v: 7}. Give prob of sequence xxrr.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2853 - 2852.5. Which is the smallest value? (a) l (b) -4 (c) 2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218*z**3 + 20*z**2 - 34*z**2 - 3 - 100*z**3 wrt z?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 2, w: 2}. What is prob of sequence yw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.44 + -3.34. Let a = -0.9 - n. What is the closest to 1\/3 in a, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -10041420343?\nAnswer: 10041420300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000799444 to seven decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 2)*16\/(-6). Find the first derivative of 43*d**2 - b - 87*d**2 + 2 - 118*d**2 wrt d.\nAnswer: -324*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b8b01 (base 14) to base 5.\nAnswer: 342203313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 + 0)*3*(-142)\/568.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.7, -0.01, -263, -4\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*n + 187*n + 187*n = -369. Find q, given that n*q**2 + 26\/3*q + 8 + 1\/3*q**3 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4818 + 5955 = 247*z - 6026 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4908*q - 4896*q - 216 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let a be (3*z\/(-48))\/1. Let -1\/4*b + a*b**2 + 1\/4*b**3 - 1\/4 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188890 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00169939093 to five dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - g**2 - 4)*(-2 + 3 + 2*g + 3) + (0*g + 4*g - 2*g)*(5 - 14*g**2 - 5).\nAnswer: -30*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 688.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61692510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 108. Which is smaller: w or 19\/23?\nAnswer: 19\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 48*v = -40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312123 (base 4) in base 14?\nAnswer: 8a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 15. Which is the closest to 0.5? (a) -0.5 (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -16 (c) -1\/2 (d) 0.4 (e) 23\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:15 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 103, 170, 235, 298?\n\"Answer: -n**2 + 72*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311756 is divided by 285.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (80\/(-112) - -4). Solve -z = -3*r + z + 13, -g*r + 4*z = -23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4560322 and 645.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let w be y(-5). Suppose -5*s + 5 = -5*b, 4 = -8*b + 3*b + w*s. What is the second smallest value in -0.2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*j = -6, -2*w + 4 = 3*j - j. Let v(z) = z**w + 5*z**2 + z**2. Let y(m) = -m. Determine y(v(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 + 6*g + 4. Suppose 2*t = 2*o - 20, t = 5*o - 16 - 10. Let b be p(t). What is the third smallest value in 0, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10769*v + 2132272. Determine z(198).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 + 37230*g**2 + 111711*g + 74478 = 0.\nAnswer: -2, -1, 12413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 3. Let o(b) be the third derivative of -5*b**4\/24 + 3*b**3\/2 + 36*b**2. Calculate 8*g(z) - 3*o(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 89. Let y = 16 - n. Find k, given that 0*k**y + 0 - 1\/3*k**5 + 0*k - 1\/3*k**4 + 0*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 - 0.06. Let f = a + 0.2. Let u = -1.638 + 1.238. Sort u, 2, f, 1\/5 in ascending order.\nAnswer: u, 1\/5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -25 + 16 - -7 - 5) + -13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 310. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*5)**2 + sqrt(13) + (-2 + sqrt(13))*-1 - ((sqrt(91) + sqrt(91) + (-3*sqrt(91) - sqrt(91))*1 + sqrt(91))\/sqrt(7) + -2).\nAnswer: sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027138 is divided by 256774?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/8 and -9\/476?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 13*n + 24. Let f be s(-11). Is 20\/7 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 153*k**2 + 37*k - 37. What is r(1)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001101569 to 5 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**6\/75 - p**5\/50 - p**4\/30 + p**3\/15 - 916*p. Solve b(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 + 183. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - -0.09. Let v = -2 + 1.7. Let o = 1.3 + v. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 5. Let u = -9 - -14. Let l = -2.1 + -0.9. Which is the closest to -0.1? (a) u (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -0.2. Let h = 1 - -2. Suppose 7*z + 4 = h*z. Which is the third biggest value? (a) f (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 262727 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65063664 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18154*o + 1 + 18145*o + 1)*(1 - 2*o**2 - 1).\nAnswer: 18*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, b: 1, q: 2, j: 1, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -21. Let s(u) = u**2 - u - 2. Let r be s(2). Solve z*g = -r + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 210034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-26 + 11 + 5 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -0.13.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let k = 289219 - 185670. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144686, 144691, 144696, 144701?\nAnswer: 144706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.656064 decades to centuries.\nAnswer: 0.5656064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324172250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47139, -94335, -141541, -188763, -236007?\nAnswer: -283279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.152874 - 178.\nAnswer: -177.847126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, j: 4, y: 2, r: 2, q: 2}. Give prob of sequence nr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507004988?\nAnswer: 2, 7, 18107321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -20, -2 in descending order.\nAnswer: 2, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) - (3 + 2350\/(-6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54\/65 or -1?\nAnswer: -54\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52375140 rounded to the nearest ten thousand?\nAnswer: -52380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 13*b - 3*b**2 + b**2 - 3 - 3*b**2 + 37*b.\nAnswer: -6*b**2 + 24*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(3 + -1) - -20. Suppose 17*x - 27 = 15*x + 3*u, 4*x + u = 5. Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {t: 1, v: 1, i: 1, j: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 185 = 233 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - h + 0*h)*(h + h + 5*h) + (-h + h + 2*h)*(0*h - h + 2*h) - 3*h**2 - h**2 + 2*h**2 + (4*h - h - 2*h)*(h + 5 - 5) as l*h**2 + k*h + o and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -105478a (base 15) in base 12?\nAnswer: -3aa30b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 1467?\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 90*v. Factor v*a**2 - 2\/3*a**4 + 2\/3 - 4\/3*a + 4\/3*a**3.\nAnswer: -2*(a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5065 - -9161. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211095?\nAnswer: 5, 7, 79, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*d + 3*d + 777, b + 5*d = 210. Let o(z) = 300*z - 589. Calculate the remainder when b is divided by o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728474 is divided by 849?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122563408 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {l: 1, n: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-20)\/24) + 60\/(-6) - 30\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646*p + 20850 = 63646 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26107 + 18961. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 109 - (-30 + 114).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by 47.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 1. Let i(l) = -3*l**3 - l - 2. Let q be i(-1). What is the remainder when (-17)\/(3 + 7\/(-2)) is divided by v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 21. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 7*t + 1 = 0. Let h be (t - (-22)\/18) + 592\/333. Solve -2*m - h*m + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107894817*d**3 + 207183925 wrt d.\nAnswer: 323684451*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*v - 1059*v = -6864 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*k - 15, 67*k = 68*k - 20*n - 81 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g - 2*g**2 + 0*g**2 + 0*g**2 wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w + 310. Is l(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:16 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(66\/70 + -1). Suppose -25*r = -2917 - 8458. Calculate the greatest common factor of y and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 7 - 4. What is the second derivative of -11*c - k*c**2 + 4*c**2 + 6*c + 2*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ittv when four letters picked without replacement from ptfvpipiibvftvbf.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4\/11 (c) 7\/18 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-14)\/(-98) - (-11)\/21). Let w be n\/11 - 4760\/44. Let v = 248 + w. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 734*((-3)\/8 + (-7)\/((-560)\/(-10))). Which is smaller: n or -365?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*i - 15*w - 3 = -141*i - 14*w, -2*i = -3*w + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83187 - -44421959\/534. Find the common denominator of 49\/48 and m.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4431, -33855, -113651, -268983, -525015, -906911, -1439835?\n\"Answer: -4194*g**3 - 22*g**2 - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15234 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: Collect the terms in 366*z - 182*z + 365*z**3 - 181*z**3 - 184*z - 181*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37235800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-26)\/d)\/d*d**(19\/2))**(-1\/20) assuming d is positive.\nAnswer: d**(37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80549263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*f = -7, -3*g = -9*f + 14*f - 49. Let m = 20 + -5. Let k = m - g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + -54 + (2 - -5) + -20 + 31\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 522*a + 3367. Is c(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6*j - 2*j + 16, 0 = 2*w + 5*j + 20. Solve w*h + h = -2*l - 3, 2*h + l = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430 + 669*k**3 - 712 - 670*k**3 - 718.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725604 to the power of 1\/2, to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d + 29. What is x(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 290*m**2 + 2449*m - 142. Give d(136).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/6 + 5*t**2 + 4*t. Let u be f(-7). Suppose 1 = u*x - 11. Let r(n) = -n + 7. What is r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.0162 litres to millilitres.\nAnswer: 273016.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63710\/25484)\/(1\/22*-5)*(-10)\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6 + 3*a**2 - 8*a + 6 + a**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 41*w + 6. Calculate o(-15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j + 348*j + 251 = 831 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/3765 and 113\/912.\nAnswer: 1144560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34335022 (base 6) to base 15.\nAnswer: 15c7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972748224?\nAnswer: 2, 3, 7, 137, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4 and 91\/512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l + 5*n - 3, 3*l - 4 = 2*n. What is the units digit of (36\/21)\/(l\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1591, 4561, 7531?\n\"Answer: 2970*c - 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 33507?\nAnswer: 770661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1)**2*2 + (-1 + sqrt(432) + -1)**2 - (sqrt(135)\/(sqrt(5)*2))\/(sqrt(54)\/(sqrt(24)\/sqrt(4))).\nAnswer: -sqrt(3)\/2 + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/4)))\/((n**6\/n)\/n)*(n\/(n\/(n\/((n*n**(1\/3))\/n)*n)))**(-36) assuming n is positive.\nAnswer: n**(-257\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.1 (c) 40.61 (d) 1\/24 (e) -2\/7 (f) 18 (g) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*(-1)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u. Let l(g) = -9081*g**2. Give b(l(n)).\nAnswer: -127134*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 3*y - 10. Let n be m(2). Solve n*i - 20 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5284373 (base 11) in base 10?\nAnswer: -9302802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0\/(2 + -5) - -111). Let d be ((-36)\/30)\/(-2 - k\/(-60)). Let r(y) = -y**2 + 6*y + 11. What is r(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11 + 3*p**2 - 10*p - 4*p**2 - 2 + 2*p. Let r be j(-6). Let w = -0.15 + -3.85. Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -32. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 10. Let g(w) = -3*w + 4. What is the remainder when 38 is divided by g(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.1 - -13. Let b = -5.808 + 6.108. What is the second biggest value in 0.6, -6, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 6 = -0*g. Let v(r) = 19*r + 121 - 122 - 14*r. Determine v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 11 = -g - 2*g, 16 = 4*g - 4*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 146*y + 15 - 147*y + 89*y**4 + (3*y**2 + 2*y**2 - 6*y**2)*(0 - y**2 + 0) to the form w*y**2 + v*y + h*y**4 + m*y**3 + a and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) -2\/13 (b) -1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-11) - 234\/(-1287). Solve 5*l + 2*t - 7 = 0, -5*t = -a*t + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 148?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 28 = k - 35, 19 = 5*k - p. Let g(c) be the third derivative of -1\/24*c**4 + 3*c**2 + 0*c + 0 + 0*c**k. Let v(f) = 30*f**2. What is v(g(n))?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m - 18*m + 14 = 25*m - 4*w - 19, 5*m + 711 = -58*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 173*u - 169*u - 13, -u = -3*f + 13. Is u <= 0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*t**3 + 35*k**3*t**2 - 3*k**3 - 16 wrt t.\nAnswer: 6*k**3*t**2 + 70*k**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1501154359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, f: 2, z: 1, r: 4}. Give prob of sequence sf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/5 - 6516*f\/5 + 3538188\/5 = 0. Calculate f.\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10100001000001100011010 (base 2) to base 16\nAnswer: -50831a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 778020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 12481 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/11 - 134*t**2 - 44664*t\/11 + 321480\/11 = 0 for t.\nAnswer: -705, -38, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = b + 14 - 0, -4*d = 3*b + 10. Let g be 6\/10*(-390)\/(-13). Suppose 3*l - g + 9 = 0. Solve 0*z + 18 = 2*c - l*z, -z = -b*c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + z**2 + z**2 + 2 - 2 - 2*z**2 + (2*z - 6*z + 2*z)*(2*z + 0 + 0).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -73, -85, -111, -157, -229, -333?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984.48 times -0.7?\nAnswer: 2089.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20.5 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-15))\/8)\/((-2)\/(-9))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*t + 6, -u - 25 + 3 = -3*t. Suppose 6*d - t*d + 6 = 0. Solve -3*y = -2*y - d, 0 = 4*s + 4*y - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -76, -187, -354, -583, -880?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 + 3*x - 2. Let m be y(-4). Let z(f) = 18*f - 3. Let h(q) = 53*q - 10. Let o(s) = -2*h(s) + 7*z(s). Is o(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/(-12) + 7)*1231851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2847657, 2847675, 2847693, 2847711?\n\"Answer: 18*q + 2847639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -13. What is the second derivative of -2*a - 9*a**2 + 5*a + 10*a**x wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*v + 4*o, -5*v + o - 16 = 0. Let z = -490 + 35768\/73. Let j = z + -140\/219. Put v, -1\/3, j in decreasing order.\nAnswer: -1\/3, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62351, -62335, -62287, -62189, -62023, -61771, -61415, -60937?\n\"Answer: 3*s**3 - 2*s**2 + s - 62353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(-5 + 2 + sqrt(2)))**2 + -3.\nAnswer: -179 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 - -126924.\nAnswer: 126925.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f - 5. What is h(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 36694.1 meters?\nAnswer: 36694100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/(-25))\/(2\/10). Let q(s) = s**2 - 4*s - 10. Let w be q(v). Suppose -4*g + w = -3*r - 25, g = 5*r - 8. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313202 (base 4) to base 5.\nAnswer: -221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 83*m**2 - 738*m + 92. Give o(23).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.805 to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 11. Determine l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2643*i**3 + 2462*i**2 - 22*i. Let y(f) = 1322*f**3 - 1231*f**2 + 10*f. Let j(q) = 4*x(q) + 9*y(q). Find the third derivative of j(b) wrt b.\nAnswer: 7956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 955 + -953. What is the biggest value in -60, b, -2\/9, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 5*d - 7. Let h be n(-6). Let c(m) = 5*m**2 + m. Let q(r) = -4*r**2 - r. Let o(w) = 6*c(w) + 5*q(w). List the prime factors of o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1688 and 14?\nAnswer: 11816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 14}. What is prob of sequence iwi?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/251 + -1952\/1757. Let y = -0.31 - -0.01. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 107 = 5*r, -4*d = 5*r - 0*d - 106. Let m = -18 + r. Solve -m*x + 25 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002112020 (base 3) to base 7.\nAnswer: -565203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101067\/4 in -0.3, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 - -229.93. Let c = w - -0.07. Let b = 1.04 - c. Which is bigger: b or -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o**2 + 49*o + 23. Determine s(-6).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -1, 1 in increasing order.\nAnswer: -4, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472518308 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*m + 10450 = 1288 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202 (base 3) in base 7?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26690 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 5. Let n be x(10). Suppose -2*z + 30 = -n*v, v = -z - 0 + 1. Solve -3*f - 4*g + 0*g = 0, -3*g = f - z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -19 + 59 - 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let g(q) = 51*q - 4. Calculate g(d(v)).\nAnswer: -51*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-10*a**4 + 24*a**4 + 10*a**4) + (a - a + a**3)*(a + 2*a - 2*a).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-2\/7)\/(q\/q**(-2))**(-49))**(4\/17) assuming q is positive.\nAnswer: q**(4124\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 128. Suppose -3*f + 20 = -7*f. Let g = f - -7. Solve 0 = -s*w - g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42193927?\nAnswer: 19, 29, 73, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8019 and 217176795.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 30*q**3 + 65*q**2 + 6*q + 54. Let k(y) = -58*y**3 - 130*y**2 - 11*y - 99. Give -6*k(w) - 11*o(w).\nAnswer: 18*w**3 + 65*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3793.\nAnswer: 3\/3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/24 + u**5\/60 + 11*u**4\/4 - u**2 + 55*u. Find the second derivative of i(o) wrt o.\nAnswer: 30*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21838, -86734, -194894, -346318?\nAnswer: -541006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43501*b**2 - 1 + 43247*b**2 - 86720*b**2.\nAnswer: 28*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5 - 38*y - 2 + 39*y + 6. Let l = 5 - 8. Let h = l - -3. Give o(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y. Suppose -4*z + 4 = -4. Let r = y + z. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*a - 10 = 0, -2*b + 18 = -3*b + 4*a. Let d(i) = i**3 + i**2 + 2*i + 3. Let z be d(b). Are z and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7. Let n be f(-2). Let u be 2\/(-8) + (-30)\/8. Put u, n, 3, 2 in descending order.\nAnswer: 3, 2, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 23*x**2 - 62*x + 155. Let s be a(-20). Solve s - 183 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 6*h - 3 + h + 8. Let v be b(4). Let z(s) = -2*s**3 - s**2 + s - 3. Is z(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1682 by -58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -114*i**5\/7 + 683*i**4\/7 + 45606*i**3\/7 + 87952*i**2\/7 + 768*i\/7 = 0.\nAnswer: -16, -2, -1\/114, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354211 is divided by 1150?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 9. Let b(n) = -n + 4. Let k(q) = -9*b(q) - 4*z(q). Let p be 6\/4*(-8)\/(-6). Let y(l) = l**p + l**2 - l**2. Give y(k(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.339.\nAnswer: 0.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 8, 2*s = -6*d + d - 8. Let t be (-46)\/2 - (-4)\/s*3. Let n = t + 104. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -679750261.07.\nAnswer: -679750258.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2651 - c + 6*c**2 - 2651 to the form y*c**2 + k + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 353*r**2 - 7806*r + 17940. What is s(-374)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 + -103. Suppose 0 = k*w + s - 1015, -5*s - 63 = -w + 175. Suppose -8*v - 3*v = -w. What is the remainder when 110 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 68*y + 2. Let u(n) = 2*n**2 - 2. Let w(s) = -2*s**2 + 3. Let p(j) = 3*u(j) + 2*w(j). Calculate p(x(c)).\nAnswer: 9248*c**2 + 544*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.1. Suppose -4*n = 0, 0 = 4*j + 24*n - 19*n + 20. What is the third smallest value in v, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24278842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*a - 19, -4*a - 4 + 24 = -4*o. Let l be 4*((-21)\/a - -4). Let j(h) = h + 14. Let p be j(7). Solve -l*n + 4 = -2*z, -5*n - 4*z + p + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5210 is divided by 163.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 16867, -2, 0 in increasing order.\nAnswer: -2, 0, 21, 16867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9495 - 0.81879. Let p = 0.95661 - j. Let m = p + -0.83. Round m to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.194695 milliseconds to microseconds.\nAnswer: 6194.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46894 (base 15) to base 9.\nAnswer: -372184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)\/(d\/d**(1\/2)*d*d))\/(((d*d\/(d*((d\/((d*d**(-1))\/d))\/d)\/d))\/d)\/(d**4*d)) assuming d is positive.\nAnswer: d**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 1. Suppose 3*l - 14 = l. Let z(a) = 2*a - 1. Determine l*f(p) - 6*z(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386370644 a multiple of 1705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (4980\/240)\/((-2)\/(-176))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 30) + 782 + -797.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5901 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19541*z**3 + 46*z**2 + 881776*z.\nAnswer: -117246*z + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a meter in millimeters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254 + -252. Let w = 2 + -1. Let u = -1 + w. Solve n + u = -f - p, 4*f + 4 = -3*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkuukjkklklku. What is prob of sequence llk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d + 3. Let m be r(0). Suppose -m*y = 9*y - 8784. Round y to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 405.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 9*a - 16. Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/50 + 28*j**4\/15 - 44*j**3 - 720*j**2 + 2602*j. Solve c(d) = 0.\nAnswer: -4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3*7\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 54*x. Let h = 4 - 2. Let t be m(h). Let q = t + -41. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 365, -276, -6 in decreasing order.\nAnswer: 365, -4, -6, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19285, 11288, 3291, -4706, -12703?\n\"Answer: -7997*t + 27282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 2*k. What is the least common multiple of k and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 2*q)*(5621 - 11583 + 4011).\nAnswer: 3902*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 261246.32158 minus 0.05?\nAnswer: 261246.27158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -21*m**2 + 7*m - 15. Let c(n) = n - 2. Calculate -14*c(d) + 2*h(d).\nAnswer: -42*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (3 + (-59)\/(-12) - 5). Let q = 0.251 - 0.251. Which is the third biggest value? (a) 1\/2 (b) -0.01 (c) q (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -655093 + 3?\nAnswer: -655090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*g = -23 + 1, 20 = 2*r - 3*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 - 18*i**3 + 19*i**3.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10\/(-7))*(-21)\/(-7)*-5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243137 to six dps.\nAnswer: 0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 32*z - 5*a, -z + 1374*a = 1371*a - 1 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*r**3 - 1390*r**3 + 784*r**3 + 786*r**3 - 1736*r**3 + 780*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 - v**2 + 4*v**2)*(-72 - 31 - 30) + (-v + 2*v + 0*v)*(-2*v + 3*v - 5*v) as a*v + x + g*v**2 and give g.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -18, -38, -76, -138, -230, -358, -528?\n\"Answer: -j**3 - j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -5*u - r*m = -10, -3*u = -m - 4 - 13. Suppose u*q = 3*q + 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.4 - -67. Let u = r - -8.3999918. Round u to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22711 = 8*l - 255975. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -110 in -6, 0.1, 1\/6, 2\/13, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 75, 3\/4, -4\/3, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (3 - 1)*1. Let f be u\/(3\/(-1)) - -16. Let y be 55\/((2\/5)\/((-372)\/(-310))). Calculate the greatest common factor of y and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w**2 + 7*w + 273. Does 49 divide k(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 25, 12*b + 4 = 9*b + 2*o. Find the third derivative of -34*w**4 - 165*w**2 - 171*w**b + 320*w**2 wrt w.\nAnswer: -816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 965240 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 50*z**2 - 1. Let y be i(1). Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 + 3 + -14 + -1) - 44.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 507*q**3 + q + 4471 wrt q.\nAnswer: 1521*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 8 = 5*j - 3*v, -2*j - 2*v = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.188 (c) 4 (d) -1.1212\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*h - 8 = -4, 0 = u - 5*h - 17. What is the greatest common factor of 26 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9 - 77*c + 6 to u*c + g and give u.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 + w + 3. Let g be 3 + 0\/(-3) + -3. Let j be k(g). Let s be -3*1*j\/27. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a + 51. Does 19 divide c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2548637 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:53 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3, 0 = 2*p - 4*h + 10 - 2. Let r(k) = 5*k**3 + k**2 + k + 14. Let b(u) = u**3 + 2. Let a(z) = p*b(z) + r(z). Give a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.62078 to two dps.\nAnswer: 38.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 less than or equal to 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*t + 91*t + 22*t = 50127. What is the remainder when 439 is divided by t?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1402 = -242. Suppose -c = -s + 79. Suppose 0 = 5*n + 4*n - s. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + -4 - 194\/(-40) and -1\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 70*p + 169. Determine d(4).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let f be 0 + (-4)\/(-12)*6. Suppose 3*b - f*x - 49 = 0, r*b = -3*b + 5*x + 64. Solve 10 = o + g - 4*g, -b = -o + 4*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.371 and -42.\nAnswer: -1527.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q. Let n(h) be the first derivative of h**4\/3 - 11*h**2 - 11. Let i(g) be the second derivative of n(g). Give i(f(s)).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(31\/4)))\/(q\/((q\/q**(1\/4)*q)\/q*q))*q**36\/q**(1\/4) assuming q is positive.\nAnswer: q**(177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19926 or 19920?\nAnswer: 19926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 + 25426750*x + 25426755 = 0. Calculate x.\nAnswer: -1, 5085351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15 + -3)*2\/(-8)*(-2 + -444)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3402\nAnswer: 1020.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 2. Let b be h(1). Let k be 4 + (-137)\/4 + (-1)\/b. Let u = -23 - k. Calculate the highest common divisor of u and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1254, 5224, 11870, 21192, 33190?\nAnswer: 47864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 9)*(0*u - 4*u + 3*u + 2*u + 0 + 0 - 4*u + 5*u - 3*u + (2*u + 0*u - u)*(2 - 4 + 3) + 2*u + 2*u - u) in the form i*u + m and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741, -887, -1139, -1503, -1985, -2591?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435 - 235325?\nAnswer: -234450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(31\/4)\/(o*o**(-12\/7)) assuming o is positive.\nAnswer: o**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*z**3 + 9 + 35*z**2 - 54*z**2 - 8.\nAnswer: 109*z**3 - 19*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (29 - (2 - -6 - 13))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 3. Let g(m) = m - 1. Let i(h) = d(h) + g(h). What is the remainder when 43 is divided by i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/9 - 4*o**2\/3 - 22*o\/9 - 4\/3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*t - 450*t - 1 = -1. Solve t = 28*l + 7 + 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 20 = 0. Let c = f + -8. Suppose 2\/5 + 6\/5*d**c + 6\/5*d + 2\/5*d**3 = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 232 = -332*q - 3404 - 10984 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/33 + 23\/22. What is the biggest value in 2\/21, 140, g?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuyoyyydyd. What is prob of sequence doy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 37 + 23 = 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 27*x - 22)*(x**2 + x**2 - 3*x**2).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*j + 892. Let m = -9181\/41 - j. Let p = m + 77\/82. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z + 6. Let b be t(-7). Suppose -5*y = -5*w - 5, -3 = -w + 2*y - 1. List the prime factors of b\/(-9)*18\/w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41465208 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248393 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - 2*f + 3. Let m be h(-3). Let o be (2\/6)\/(5\/m). Let g be (-3 - o)*3\/6. Put g, 5, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -56.031. Let r = o + 0.231. Suppose c + c = 6. Sort c, -6\/7, 0, r in ascending order.\nAnswer: -6\/7, 0, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c85 (base 15) to base 4\nAnswer: 1200320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/130)\/(((-10)\/(-16))\/(((-180)\/(-16))\/9))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - ((sqrt(180) - (-3 + sqrt(180))) + -3)) + sqrt(180)*-1 + 2 - (5 + 3*sqrt(180) - (-4 + (sqrt(180) - (sqrt(180) + 3)))))**2.\nAnswer: 360*sqrt(5) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469 - 468. Let r(b) = 2. Let q(x) = -213*x - 193. Let v(i) = f*q(i) + 2*r(i). What is the derivative of v(u) wrt u?\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116615 (base 9) to base 3.\nAnswer: 10120200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) - sqrt(108)*-1)**2 + 3 + 2)*6.\nAnswer: 10398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/55938531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -3 + -80)*6\/(-8). Suppose 0 = 11*o - 10*o - a. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -360469*n - 2162754. Give c(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/sqrt(3))\/sqrt(2) - sqrt(27))\/(5*sqrt(9)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816990867?\nAnswer: 3, 7, 11, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -369080 divided by 20\nAnswer: -18454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 55 = -5*a, -5*m + 304 = -4*a + 252 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 488 - 1087. Let x be 1\/5 - a\/5. Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y + 7*y)*(-3 + 1 + 0) - 3*y - y + 3*y - 6*y + 4 - 4 as d*y + g and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12*5)\/((-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 475\/30 + 145\/(-30) + 5. Factor -4*g**3 - 84*g + q*g**2 - 54 + 16*g**2 + 126.\nAnswer: -4*(g - 3)**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240098 divided by 818?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/4*y**3 - 63845\/2 + 280*y**2 + 61585\/4*y = 0. Calculate y.\nAnswer: -113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123277*n - 5082 = 123200*n for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {n: 9, t: 7, v: 1, u: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 2*n - 6*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - 6 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Let s(r) = -r - 3. Let m be s(-3). Let o(h) be the second derivative of 0*h**3 - 1\/6*h**4 + 0*h**2 + m + 2*h. What is d(o(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12745 is divided by 4059?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -3\/5 (c) -2\/5 (d) -6 (e) 0.073 (f) 1\/6 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 5*c)*(-2999 + 2999 - 30*c**2 + 3*c**2 - 5*c**2 + 0*c**2 + (2*c + c - c)*(-3*c + 4*c - 3*c))*(-6 - 3 + 0).\nAnswer: -648*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9471 - 2673. Calculate the remainder when r is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((2\/(-59))\/(-1)). Let j = q - -56. Which is greater: -26\/9 or j?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/7 + 324*r**4\/7 - 3722*r**3\/7 + 14404*r**2\/7 - 22080*r\/7 + 11072\/7 = 0.\nAnswer: -173, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*-2*(-20)\/6. Let q be r\/(-6) - ((-16)\/(-6) - 3). Suppose 3*g - 75 = 2*n + 1, q*g - 55 = -3*n. Calculate the greatest common factor of g and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(5)*3 - sqrt(5)))**2*-4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-19 + (61 - (-13 + -5))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 6 (c) 0 (d) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d**5 + 0*d - 1\/24*d**8 + 0*d**6 + 0*d**7 - 27*d**2 + 0 - 5\/24*d**4 + 0*d**3. Find the second derivative of p(g) wrt g.\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u - 2277*u - 608*u.\nAnswer: -2915*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -2*f**5\/65 + f**4\/13 - 2*f**2\/13 + 2*f\/13 + 1. Find n such that p(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 2 (c) -2 (d) 415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*g - 12 - 4 = 0, -2*b - 20 = -5*g. Solve -4*k + 2*k - 4 = b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*2*(1 - 1). Suppose w + 48 - 225 = f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 116. Let p be 0 + 12\/3 - k. Let g = -18 - p. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45764, -5, 3\/8?\nAnswer: -45764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 2. Let l(z) = -31*z - 11. Let h(v) = -2*v**2 - 14*v + 5. Let p = 47 - 54. Let u be h(p). Suppose 4 + 6 = u*t. What is t*l(j) - 11*n(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2690347 and 51876.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*c - 52799, -c = 3*h - 21743 - 9933. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113758 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: Let a(u) = -u**2 + u. Let z = 0 - -2. Let j(k) = 4*k - 1. Let x be j(z). Let b(r) = -r + 9. Let t be b(x). What is a(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 52 = 273 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyr when three letters picked without replacement from {z: 2, o: 2, a: 4, s: 3, r: 2, y: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68708?\nAnswer: 2, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 93*c**3 - c**2 - 2*c + 1. Let q be g(1). Let z = q + -47. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373 - 713. Let h = -335 - j. Solve -h*a + 8 = -w, -a = a - w - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 191, 27, 3 in descending order.\nAnswer: 191, 27, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:17 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (5 - (7 + -4 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19120406611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/1838 at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 5228 - 7065 - 3288 - 4*z + 3*z to the form q + t*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.9, -0.2, 0.5, -3 in descending order.\nAnswer: 4, 0.5, -0.2, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + (4 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*u + 3*z, -z = u - 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 5 - 781*u - 33 as b + o*u and give o.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*j - 127, 5*j = 8*n - 10*n + 34. Solve 5*q - n = -67 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*q**3 - 2*c*q + 460*q**4 + 3641*q wrt q?\nAnswer: 6*c*q + 5520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -19*d**3 + d**2 - 5. Let x be (36 - 31) + 7\/(-1). What is the remainder when f(x) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7579.849 micrometers to centimeters.\nAnswer: 0.7579849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -12. Is 268\/4 - (t - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*g - 69*g = 15405. Calculate the highest common factor of 315 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 322\/5675 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7656246 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -19. Suppose -a - 15 = -4*h. Solve h*n - 6 = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-42) + (-18)\/(-35))*5. Solve 2*l = -2 + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13166 is divided by 549.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 262966193?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) + (sqrt(110)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1099097 divided by -70.\nAnswer: -1099097\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -40317 <= -40318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/10*(90 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 16, -34 = -5*p - 5*m + 6*m. Suppose 2*j + p*j - 960 = 0. What is the greatest common divisor of 80 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - x**2 - 7 + 2 to u*x**2 + a*x + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2759\/7 - 2754\/7. Factor -s*o + 5\/7*o**3 + 2\/7*o**2 - 2\/7.\nAnswer: (o - 1)*(o + 1)*(5*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0 (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/605 - 153932\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 236*l**7\/21 + 1075*l**4\/4 - 4438*l. Find the third derivative of a(w) wrt w.\nAnswer: 28320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w**4 - 6*w - w**6 - 4\/3*w**3 + 28 - 11*w**2 + 2*w**5. Solve p(h) = 0 for h.\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 1112*z - 4*z**3 + 1 + 0*z**3 + 1112*z to v + k*z + t*z**2 + a*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 8. Suppose -204*o = -236*o + 96. Let z(x) = 4*x - 16. Give o*z(d) - 5*w(d).\nAnswer: 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -68*n**2. Let k(j) be the first derivative of 2*j**2 + 78. Determine x(k(y)).\nAnswer: -1088*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 12*g - 20. Suppose -3*b = -4*b + 45. Calculate the remainder when b is divided by o(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*y + 119 = 3*y, -2*v = 4*y - 124. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 550, 2308, 5862, 11818, 20782, 33360?\nAnswer: 50158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**3 - 5*n - 5. Let v be g(-5). Suppose -2*t + 3*t - a - 383 = 0, 0 = 2*t - 4*a - v. Let s = t - 251. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24999000 rounded to the nearest 100000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3622 - 3618. Solve z*s + 1 = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 707, 2, -1, -4, -0.3, 18, -33\/19?\nAnswer: -33\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*u - 8799, -8803 = -4*u + 103*v - 104*v. What are the prime factors of u?\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.232? (a) -0.5 (b) 4 (c) -1\/6 (d) -0.4 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 5*p**2 + 9*p + 2. Let b be i(-6). What is the common denominator of 3 + (-380)\/b + -4 and 3\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 5*l**2 - 2*l**2 + 9 + 7*l)*(7*l + 11*l - 4*l - 5*l - l + 4*l + (-4*l + 2*l + 0*l)*(-6 + 2 + 2)) as k*l + o*l**2 + u*l**3 + w and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (660\/(-175))\/(139\/(-10)). Let x = 2\/139 + t. Sort 0, x, 2 in decreasing order.\nAnswer: 2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 8*y + 5*t = 2, -4*y - t + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + j**2 + j**2 + (2*j + 9*j + 3*j)*(-3*j + 5 - 5) - 4*j**2 - 2*j**2 + 3*j**2)*(2*j**2 - 4*j**2 - 7*j**2).\nAnswer: 414*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/6 + 5*n**3\/6 - 7*n**2 + 2. Let i(o) = 4*o + 4. Determine -4*i(c) + 3*m(c).\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(3*k - 4*k - k) - 2*k + 0*k + 6*k)*(2*k - 2*k + 2*k**3).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -473379*c**2*f**2 - 239*c**2*f + 3*c*f - 3*f wrt f.\nAnswer: -946758*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((-35)\/(-7)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73731841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 122*h - 1224. Give d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -44*k - 123. Let f(b) be the first derivative of 15*b**2\/2 + 41*b - 9. Let w(t) = -7*f(t) - 2*x(t). Differentiate w(l) wrt l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -259 - -269. Let q(t) = -t**2 + 7*t + 35. Let r be q(w). Solve -r*f = 10 - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 147 + 0 - (1 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -10. Let o = -254.0132 - -0.0132. Let z = 250 + o. What is the second smallest value in s, -0.5, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188568 (base 11) to base 10.\nAnswer: 289506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651126?\nAnswer: 2, 3, 7, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1506*h**2. Let d(t) = -622*t - 623*t - 625*t + 1868*t. What is d(p(c))?\nAnswer: -3012*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 89, -2, 0, -1 in descending order.\nAnswer: 89, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 4, -4*n = 3*s - 14. Suppose a - s = 2. Solve -a*u + 16 = 0, -2*u = -3*x - 2*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 3*k + 2. Let x(f) = -2*f**2 + 4*f + 7. Let v(s) = -4*s**2 + 4*s + 8. Let j(t) = -4*v(t) + 5*x(t). Calculate -4*c(w) + 3*j(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*h**2 - 286*h - 3 wrt h?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.9575, -1\/2, 3, -11, -5.\nAnswer: -11, -5.9575, -5, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001111 (base 2) in base 3?\nAnswer: 122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/13 in 3, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w\/(w*w\/((w*w**(-28))\/w)))\/w)\/w))**(-2\/27)\/(w**(2\/23)\/w*w*w**29*w) assuming w is positive.\nAnswer: w**(-20110\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -56*o**3 - 14*o**2 - 14*o + 14. Let j(q) be the first derivative of 19*q**4\/4 + 5*q**3\/3 + 5*q**2\/2 - 5*q + 546. Determine 14*j(u) + 5*r(u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and -0.5.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 88*z**3 - 6*z**2 + 41*z - 11. Is v(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1915125*35.\nAnswer: -67029375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(9\/(-18))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2227, 1594, -7 in ascending order.\nAnswer: -7, 1594, 2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.773996 to 1 dp.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.6 - 13. Let f = 0 + 3. Suppose -2*d + f = -1. Which is the smallest value? (a) d (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*((-2*sqrt(76) + -1)**2 - sqrt(76) - (sqrt(76) - ((2*sqrt(76))**2 + 5) - sqrt(76))))*-6 + -4 + 4.\nAnswer: -18432 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (2 + 10) - -10) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5714, -5716, -5718, -5720?\n\"Answer: -2*m - 5712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let o(q) be the first derivative of 2\/3*q**3 + 0*q**2 + 0*q + 3. What is o(r(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -7*m + 64. List the prime factors of m - ((-2)\/(-6) - 561\/9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1499761 divided by -331.\nAnswer: 4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3 - 997795*y**2 - 1995575*y - 997785 = 0.\nAnswer: -199557, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lls when three letters picked without replacement from {c: 6, l: 2, b: 4, s: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -28, 0.5, -2\/3, -5 in ascending order.\nAnswer: -28, -5, -1, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31\/5, -0.2, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -18. Suppose 0 = -3*z + 56 - 68. Sort 4, o, z in decreasing order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7233916?\nAnswer: 2, 1808479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3\/2, 5, 0.91.\nAnswer: -3\/2, 2\/9, 0.91, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 565 (b) 4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/49?\nAnswer: -26\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193, 781, 1755, 3109, 4837, 6933, 9391, 12205?\n\"Answer: -m**3 + 199*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318 + -285.9. Let o = w - 5.1. Let q = -27.02 + o. Which is the third smallest value? (a) -1 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 28 + 3 = -5*z, -2*d = 3*z - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((4437\/(-290))\/51)\/(3\/12)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1957.04 - 1957. Sort -2, 90, f in increasing order.\nAnswer: -2, f, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(405)*-3)**2 - sqrt(405)) + sqrt(405) - 3*(sqrt(385)\/sqrt(7))\/sqrt(11).\nAnswer: -3*sqrt(5) + 32805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5) + 0 + (-1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f + 16547?\nAnswer: 164c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = f + 1, 3*f - 16 - 14 = -5*s. Let k(o) be the second derivative of 2*o**2 + 1\/6*o**4 + o**3 + 0 + s*o. Factor k(t).\nAnswer: 2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62dc41 (base 14) to base 4.\nAnswer: -30233320201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*-5*2*(-12 + 578115\/36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115.79 and -1.5.\nAnswer: -117.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 13) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -37?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 5678747\nAnswer: 4\/5678747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1613526 (base 7) to base 10\nAnswer: -222186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -0.3 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35915906.\nAnswer: 2, 13, 1381381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/12 - 14*t**2. Suppose -8 = -2*k - 2*k. Let y(p) = 0*p + k*p - 4*p. Give y(j(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 56564372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*k**4 + 3325*k**3*t**2 + 5*k*t**2 + 1018*k*t - 2*k + 36*t wrt k.\nAnswer: -852*k**2 + 19950*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7408a (base 15) to base 5.\nAnswer: -43234010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -14. Put -0.2, -0.33, v in increasing order.\nAnswer: -0.33, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101120220220022 (base 3) to base 7\nAnswer: 65556413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182 divided by -3?\nAnswer: -2182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484667.\nAnswer: 3, 164963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 56. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (99123\/(-74))\/19?\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i = 55*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402490674 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(14*z + z**5 - 14*z) - 5*z**5 - z**4 + z**4 + (-2*z**2 + z**3 + 2*z**2)*(-2 + 2 + z**2).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 4 - 2*i**2 + 1 + 7*i. Let r(h) = h**3 - 5*h**2 + 3*h. Let q be r(2). Let k be n(q). Which is smaller: k or -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -78*p - 320. Let h be f(-4). Is -47 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3726\/920 - (2 + 21\/20 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/32)*z*z\/z**28*z*z)**(2\/3) assuming z is positive.\nAnswer: z**(-769\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1690 or 1?\nAnswer: -1\/1690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, t: 2, g: 3}. Give prob of sequence ptp.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-15)\/440*165\/(-45)*140\/3\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3057, -2948, -2657, -2094, -1169, 208, 2127, 4678?\n\"Answer: 15*h**3 + h**2 + h - 3074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 15*l + 19. Let i be r(16). Let u = 423 - 422.94. Which is the third biggest value? (a) i (b) u (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422328406 at most 422328406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/315*(-14)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - -1) - (-7 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 77 = -k, -5*p - k - 100 = 281. Let c = -52 - p. Suppose -6*x + 3*x + 4*n = -150, -5*n + 215 = 5*x. Calculate the remainder when x is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Let g be 9*2\/66*(-1760)\/(-240). Let b be (-2)\/8 - 13\/(-4). Solve j - g*x = -v + 4, -2*x + 21 = b*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3335, 6683, 10031?\n\"Answer: 3348*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose t*l - 11 = 328. Suppose -4*q + 79 = 4*f - 145, -2*f + l = 3*q. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482?\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6378 and -61\/3046558.\nAnswer: 9139674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 240\/12800*198\/(6\/(-2)) and 29\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410218 - 20280*q**3 + 410219 + 20278*q**3 + 410217 - 1230654.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 164*a**2 - 15*a - 10. Give s(1).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -40*r**3 - 25. Let q(h) = 5*h**3 + 3. Let u be (10\/(-15))\/((-12)\/(-9))*-532. Let j be 2\/11 - (1 + u\/11). What is j*q(i) - 3*t(i)?\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:25 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:02 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11375 (base 9) to base 8.\nAnswer: 16661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2980)\/(-25) + (-6)\/(-9). Let k = 120 - v. What is the second biggest value in k, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 - -107. Let w = -364\/5 - x. Which is the third smallest value? (a) -1 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24548 and 2584.\nAnswer: 49096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, 1, 189, -3, -0.65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k - 1. Let b(n) = -n**2 + 35*n + 394. Let j be b(44). Calculate l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/3)\/(-2 - -1). Suppose 5*o - 14 = 31. Suppose z*g + o = 39. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731487 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205*o**3*q**2*u - 52*o**3*q*u - o**2*u + 17*o*q**2*u - 2*o*q**2 + 186*o + 2*q**2 wrt o.\nAnswer: 1230*q**2*u - 312*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6581271346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000362435419 to six decimal places.\nAnswer: -0.000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 51. Solve 2*o + v = -0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 3. Let u(o) = o + 4. Let k(q) = -4*j(q) - 3*u(q). Let x = 5 + -2. Let f(l) = 0*l + x*l - l. Calculate f(k(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 3*z - 3. Calculate the remainder when w(-3) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -16*q**5 - 746*q**4 - 10038*q**3 - 27378*q**2 + 54054*q - 15876 = 0.\nAnswer: -21, -6, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -609*w**3*x**3 + 3*w**3*x + 570*w*x**4 - 2*x**3 + 153049*x**2 wrt x?\nAnswer: -3654*w**3 + 13680*w*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1102 by 4.\nAnswer: 551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p + p**2 - 10*p + 25*p + 4*p - 1006 - 10*p to q*p + a*p**2 + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3399 + 3438. What is the remainder when 401 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9092502m?\nAnswer: 909250200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = g + 23, 3*z + 2*g - 206 + 175 = 0. Suppose 2*n = 7*n. Solve -z*w + 5*o = -4*w, n = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o + 3. Let p(s) be the first derivative of -20*s**2 - 25*s - 4. Let a(l) = -3*p(l) - 25*r(l). Let q(y) = 2*y**2. Give a(q(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 - o - 4. Suppose p - 5*p = 4*f + 48, 0 = p - 3*f - 8. Calculate v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 3:46 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -5, 4 in descending order.\nAnswer: 4, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*s = -816*s - 5*r - 20, 4*r = -s + 11 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**2\/2 + 7*w + 1. Let b be k(8). Let d = -8274877\/97 - -85308. Is d at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(171)))**2 + sqrt(133)\/((-2*sqrt(77))\/sqrt(11)).\nAnswer: 215*sqrt(19)\/2 + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -9*g + 71. Calculate the greatest common divisor of 544 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1029\/(-4263))\/((-7)\/2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*k = p - 12, p = -3*k. Solve p*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 10*c - 308. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5372, -42685, -143892, -340937, -665764, -1150317, -1826540, -2726377?\nAnswer: -3881772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + s - 5006 + 4971, 6 = -2*u + 5*s for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 57*m + 45. Let n be t(-3). Let l = -62 + 11. Let b = l - n. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4598185287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 - (-2 + (4 - -2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and 0.587.\nAnswer: 1.5849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/3)*u))**28 assuming u is positive.\nAnswer: u**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/61 in 1, -50, -2\/3, 2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2056, -2161, -2336, -2581, -2896, -3281, -3736?\n\"Answer: -35*c**2 - 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62656823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 - 3*t**2 - 25*t - 13. Suppose 7*h - 10 - 74 = 0. Is m(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 531 - 531.2. Let d = 143053\/91 - 11297\/7. Let l = d + 42. Which is the nearest to f? (a) l (b) 3\/4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83930 rounded to the nearest one thousand?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 21*a + 4*i = 49, 0 = 24*a - 5*i + 175 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/3, 122, 4\/3.\nAnswer: -6, -1\/3, 4\/3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-10) + 42\/35. Let s(q) = 7*q - 50. Let a be s(r). Is a at least as big as -15\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 92*a - 1223. Give h(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -15*m**4 + 274*m**3\/3 + m + 267. Find the third derivative of x(u) wrt u.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*d + 198 = 100*d. Suppose -d*r + 1196 = r. What is the lowest common multiple of 16 and r?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, a: 4, m: 1, e: 3}. What is prob of picking 1 a and 1 b?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 13*v. Give j(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -255 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26840 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0334 and 1.863374.\nAnswer: 1.896774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 10 = -p, -m + 4*p = -16. What is the smallest common multiple of 50 and (-1)\/(-4) + 351\/m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1704\/3913 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/3)*u*u**(7\/3)*u)\/(u**(1\/16)\/(u*u*u**(2\/33)*u*u*u)) assuming u is positive.\nAnswer: u**(2053\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-120)*(-47 - 0) and 2 + -4 + 536\/42*60\/200?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57a (base 16) to base 2.\nAnswer: -10101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + a925?\nAnswer: a928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2340\/(-1638))\/(30\/28))\/(6\/20).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679857 and 21459.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfffjfjffjj. Give prob of sequence jff.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/8)\/(-3)*-4. Let v be (6 - o)*(-14)\/(-35). Find the first derivative of -1 - h - v*h + 1 + 2 wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 561.\nAnswer: 15147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25))\/(72\/(-96))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 41\/((-1435)\/833).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1247475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(0 - 1)\/(-1). Let t = 1318\/795 - 102\/53. Is t bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - m - 3*m = 2, 4*i + 2*m + 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 17)*(-2)\/6. List the prime factors of (0\/3)\/a - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5*(-15)\/6. Suppose 0 = 5*h - h - 3*q - 8, -3*h = 4*q + 19. What is the closest to h in -0.3, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(0 + (sqrt(243) - (sqrt(243) + sqrt(243) + sqrt(243)*5 + sqrt(243) + sqrt(243))) - (sqrt(243) - (-3 + sqrt(243) + 2) - sqrt(243))))**2.\nAnswer: 4536*sqrt(3) + 428686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m - 14. Let w(j) = 10*j + 6. Let t(p) = -6*o(p) - 14*w(p). Let q(c) = -5*c. Calculate t(q(v)).\nAnswer: 70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1001 - -0.1001. Let f = -0.168 - -0.468. Is c at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-5)\/r*r*r))*r*r\/r**(1\/5)*r)\/((r**(-7)\/r)\/(((r\/r**(-7))\/r)\/r)) assuming r is positive.\nAnswer: r**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049.1 - 1049.1. Which is the nearest to -4? (a) p (b) -1 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, 26, -1, -4 in ascending order.\nAnswer: -25, -4, -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-160325)\/(-33) + (-65)\/(-39)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234146 (base 7) to base 12.\nAnswer: -20568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**2 - 5*f. What is the tens digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47735238.\nAnswer: 2, 3, 2707, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4 + 159*l**3 - 378*l**2 wrt l.\nAnswer: -48*l + 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 + 253\nAnswer: 252.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1185686 or 1185685?\nAnswer: 1185686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*n = -53, -2*n - 19 - 16 = -3*g. Suppose 6 = 3*p + b, 2*b - g - 1 = -5*p. Let r(h) = -2*h**2 + 2*h. Calculate r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 117877*s + 117929*s + 0.\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 835174, 835167, 835158, 835147, 835134?\n\"Answer: -d**2 - 4*d + 835179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20648*m*p**3 + 536*m*p - 21*p**3 + 142*p**2 wrt p.\nAnswer: -123888*m - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 354107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 84256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415998833.\nAnswer: 41, 47, 61, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*f + f - 44, 4*t = 5*f - 27. Let y(q) = 4*q**2 - 2*q + 1. What is the least common multiple of (-54)\/t + (-2)\/13 and y(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*v + 23109, 2*h + 3877 - 50143 = -2*v. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.9 (b) 0.11 (c) -3 (d) -2\/15 (e) 2\/103 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5397629147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5 + 33 = 0. What is the third derivative of -33*c - x*c**2 + 33*c - 6*c**5 - 5*c**5 wrt c?\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/4 + -5 + 2)\/(888 - 886). Suppose m + 13\/3*c**2 - 3*c**5 - 53\/3*c**3 + 43\/3*c**4 + 2*c = 0. Calculate c.\nAnswer: -2\/9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z - 1\/6*z**3 + 54*z**2 + 0 - 31\/24*z**4 + 19\/20*z**5. Find the second derivative of f(r) wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22089*c - 58387 with respect to c.\nAnswer: 22089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffyyvyf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297697223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*t**2 - 648 - t**3 - 643 + 0*t**4 - t**4 + 1289 as z*t**4 + g*t**3 + u*t + d*t**2 + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -16992*k. Let t(b) = 4*b. Determine g(t(m)).\nAnswer: -67968*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 12:03 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*f + 7. Suppose m = -f*m + 1688. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**2 + 0)*(-345 + 20*y + 345).\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k - 4 - 24*k + 38*k. Calculate t(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557538911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4\/4 + 30213*m**3\/2 + 602211*m**2\/4 - 8799813*m + 58463328 = 0. What is m?\nAnswer: -20132, -32, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psuub. Give prob of sequence spu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10994479*n**2 - 21988695*n**2 + 10994226*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let n(b) = 428*b**2. Determine g(n(a)).\nAnswer: 366368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268824 and 4048?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let i = 1 - 3. Let j be (-1)\/i + 10\/4. Let m(r) = 0*r**2 - j*r**2 + r**2. What is t(m(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 9*k - 26*k = -476 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15630630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqccu. What is prob of sequence qu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/7 + 144*w**3\/7 - 720*w**2\/7 - 128*w\/7 + 3840\/7 = 0. Calculate w.\nAnswer: -2, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {e: 2, p: 8, a: 4, q: 1}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96157245*g**3 + 539994615*g**2.\nAnswer: -576943470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27925*d**2 - 75846 wrt d?\nAnswer: -55850*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0592 + 0.0692. Let u = -4 + 4. Sort -0.3, u, 4, y in increasing order.\nAnswer: -0.3, u, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69034, 68840, 68646?\nAnswer: 68452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:51 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 411 - 406. Let i be 21\/14*30\/9*o. Which is smaller: 29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 18, 22, 18, 0?\n\"Answer: -h**3 + 5*h**2 - 2*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -18*p + 96 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003231981378 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2662 and 107\/1694.\nAnswer: 18634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 5. Let m be -1 + ((-2)\/2 - s). Suppose -5*j = -3*w + 251, -6 = -6*w + m*w. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**2 + 3 + 1 - 5.\nAnswer: 47*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjj. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6 and 10\/55 - (-1294)\/(-220).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/7))**23*((y**(1\/2)\/y)\/y)**(-3\/10) assuming y is positive.\nAnswer: y**(2363\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3 - 0. Let r be 14\/(-35) + 2\/(-5). Let w = 1\/2 - 1\/4. Which is the closest to w? (a) u (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:53 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1 (c) -0.1 (d) -0.2 (e) 2399292\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 23. Calculate the lowest common multiple of 8 and n(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u + 5*u. Suppose -4*c + u = 0, -4*c - 36 = -4*h + 28. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 divided by 2?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5153230 (base 6) to base 4\nAnswer: -330213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loolloo. Give prob of picking 1 o and 3 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12656 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2224 - 6*q**2 + 2213 - 4*q**4 + 8*q**2 - 3*q**2 - 2*q + 4*q**3 in the form m*q + a*q**3 + d*q**2 + z*q**4 + b and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2*-1*14\/(-56)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 + 0 = 0. Suppose z - w = 3. Solve -8*u**2 - 3*u**2 + z*u**2 + 4*u**2 + 24*u = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*r + 277, -4*r + 3 = -5*r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n - 13. Let x be o(12). Suppose -3*h + 43 = -x. Let w(v) = -v**3 - 2*v**2 + 5*v. What is the smallest common multiple of h and w(-4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18974*-1.8548.\nAnswer: -0.351929752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -112457.059 to the nearest integer.\nAnswer: -112457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -6*x**2 + 1\/4*x**4 - 2*x + 24 + 11\/3*x**3. Determine g(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124374461.\nAnswer: 11, 23, 53, 158429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**1*u\/(u*u**(-20)\/u)*(u\/u**0)\/(u*u**(-37)*u) assuming u is positive.\nAnswer: u**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471278 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.2. Let c = 0.2 + 2.8. What is the third smallest value in -3, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 20*l**2 - 7*l + 172. What is b(20)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 202001010100 (base 3) to base 16\nAnswer: 604ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f*f*f\/(f*f**6)*(f\/((f*((f**(2\/15)\/f)\/f)\/f)\/f))\/f**(1\/9)*((f\/f**(2\/11))**(-1\/55))**(-2\/3) assuming f is positive.\nAnswer: f**(538\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 131*o**2\/2 + 4087*o\/2 - 13467\/2.\nAnswer: (o - 3)*(o + 67)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*r**5 - 86*l*r**3 - 8131*l*r**2 - 3163*l*r - 5*l + 18*r wrt r.\nAnswer: -20*l*r**3 - 516*l*r - 16262*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 9647*g**2 - 51*g**3 - 9653*g**2 + 38592*g**2 - 9643*g**2 - 9649*g**2.\nAnswer: -51*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/32*6*16. What is the remainder when 21 is divided by 2\/d + (-37)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26956176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**8\/11760 - b**7\/2940 - b**6\/2520 + b**3\/6 + 4*b**2. Let x(i) be the first derivative of z(i). Factor x(t).\nAnswer: -t**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5710044308 rounded to 3 decimal places?\nAnswer: -1.571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 212*p**4 - 114*p**3 - 1249. Let c(n) = -423*n**4 + 247*n**3 + 2497. Let j(t) = -6*c(t) - 13*q(t). Find the first derivative of j(v) wrt v.\nAnswer: -872*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -122\/21?\nAnswer: -122\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 8. Let d = 11.1 - 11. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 - 3*o**2)*(-9*o - 16*o + 19*o)*(2*o + 2*o - 2*o).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(7) + 1 + -1*sqrt(7)*-2 + sqrt(21)\/sqrt(3) + -2.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -20.5. Let a = 0.9 - 1. Put -3, a, l in decreasing order.\nAnswer: l, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 1, w: 4, d: 5}. What is prob of picking 3 w and 1 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 29*w - 40. Solve -w*t + 0 - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-3) - 1\/3. Let d = -0.3 - -0.2. Let y = 85911 + -85889. Which is the nearest to d? (a) -1\/7 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 45 = 5*x, -3*w = 4*x - 22. What is the lowest common multiple of 32 and w?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*u - 6. Let s be 5\/u - 61\/(-1). Let k(j) = -86 - 87 - s*j**2 + 173. Let y(q) = q**2. Give k(y(o)).\nAnswer: -66*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let m(w) = -w**3 - 4*w**2 - 3*w + 4. Let f be m(-3). Let l(t) = -6*t - 4. Let k(x) = -x - 1. Let c(g) = f*k(g) - l(g). Determine c(v(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 18*h + 4. Let x be j(18). Let v(u) = -5*u + 10. Calculate v(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26234196, -26234195, -26234194, -26234193, -26234192, -26234191?\nAnswer: -26234190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47556 is divided by 22201?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 - 2)) + 0 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/5 + 17487*f**4\/5 + 73264851*f**3\/5 - 27827968063*f**2\/5 + 525802724160*f - 3412939351500 = 0. What is f?\nAnswer: -8922, 7, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-106) + -1 + 1. Let h = -2.49 + 173.49. Let f = -173 + h. Put -4, n, f in decreasing order.\nAnswer: n, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h - 3 + 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4095282 - -538?\nAnswer: -4094744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v - 12. Let m be (-100)\/30 + 4 + 4\/3. Does 8 divide m + (-1482)\/(-9) - v\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61205, 122398, 183591?\n\"Answer: 61193*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3320*x**2 - 967 + 485 + 483 - 784*x**2.\nAnswer: -4104*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*sqrt(147)*-5 + (sqrt(21)\/sqrt(7) + 5)*-2)*3)**2.\nAnswer: -42432*sqrt(3) + 1169284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 + 1372*w**3 + 1534*w - 1 wrt w.\nAnswer: 40*w**3 + 8232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + t + t - 59, 0 = w + 4*t - 65. Let k be 26\/w*(-3)\/42. Let y = -39827\/3710 - k. What is the common denominator of 27\/8 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 10*f - 5. Let l be s(9). Suppose 4*m + l = 6*m. Solve -2*q = m*z + 2, 3*q + 14 = z - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - 3 - -7) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -514, 5, -26, 1 in ascending order.\nAnswer: -514, -26, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/22 - (1411256\/(-121))\/7.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -394, -333, -284, -253, -246, -269?\n\"Answer: -f**3 + 68*f - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*j - j - 8, 2*w - 13 = -j. Suppose -j*q = -3, 1 - 4 = -z - q. Solve -2*i + 5*l = -2, -z*l - 2*l + 3 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 72. Let v be s(10). Let t = -88 + v. Solve 3*g - 3*r + t*r - 8 = 0, -4*g = -4*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {d: 2, r: 1, n: 1, h: 1, b: 2, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 172*j**2 - 5285*j - 198. Give c(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0 - 1\/30*a**6 - 4\/3*a**3 + 0*a + 2\/15*a**5 + 116*a**2 + 1\/6*a**4. Factor c(o).\nAnswer: -4*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -5)*(-12)\/(-3). Suppose 0*i - i - w = j, 2*i + 5*j + 9 = 0. Let s = -6 - i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 18*i - 29. Let f be u(-16). Suppose -2*j + f*j + 48 = 0. Let t = 138 + j. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2 (c) -0.3 (d) 2\/185 (e) 3\/7 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2145 and 891735.\nAnswer: 9809085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1155 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89972.23 milligrams to nanograms.\nAnswer: 89972230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -75, -327, -831, -1671, -2931, -4695, -7047?\nAnswer: -10071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*s + 31 = 0, 4*s + 17 = 5*b + 6*s. Solve b*u = 7*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0.4 (c) -73.413 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 0*r**3 - 11*r**3 + 11*r + 14 - 23 + 0*r**2 + 10.\nAnswer: -(r - 1)*(r + 1)*(11*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**4 + 19308*s**3 + 57870*s**2 - 173676*s + 96495 = 0.\nAnswer: -6433, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x + 65. List the prime factors of t(0).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36290\/9550 - 2724\/30.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 49.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 418947, 418951, 418955, 418959, 418963, 418967?\n\"Answer: 4*g + 418943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 3*d**2 - 5*d. Let n be h(-4). Suppose -3*x - 85 = -3*w + x, 30 = 2*w + n*x. What is the remainder when 67 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5004, -1301, -18418, -51753, -106712, -188701?\n\"Answer: -901*d**3 + 2*d + 5903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434772 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 826\/10 - ((-48)\/30)\/4. Suppose -d + 190 = r. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/(g\/g**43*g)*g*g**(-41))**(-35) assuming g is positive.\nAnswer: g**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 2*h**2. Let d be (-33)\/(-2)*(-4)\/3. Let s = -79 - -75. Let b(a) = -11*a**2 - 1 - 501778*a**3 + 501768*a**3 + 1. Give d*r(l) + s*b(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 22*t - 4. Suppose -t*m = -g - 2993, -2*m + 425 = -4*g - 1061. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let x(p) = 7*p. Let v(t) = -4*o(t) + x(t). Let j(y) = 3*y**2. Calculate j(v(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -179770.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -591*b**3 - 588*b**3 - 13 + 7*b - 8*b**2 + 1178*b**3. Calculate f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 - 12 = -5*q, -2*k = q - 10. Let m be (1\/3)\/(3\/(-9)). What is the nearest to 3 in k, m, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189017 divided by -2\nAnswer: -189017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:44 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (4 + -4 + -6). What is the units digit of v*(11\/2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5351 + -0.535105838. Round c to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1892 and -11\/10645166.\nAnswer: 234193652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2110 + -2113. What is the biggest value in 0.193, 1\/2, o, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5 (c) -157.5325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3092, -3082, -3070, -3056, -3040?\nAnswer: -3022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11101112020 (base 3) to base 6\nAnswer: -1504010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 6689865 divided by -5\nAnswer: -1337973","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate the remainder when 14789 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-one fifths of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 1. Let a be z(3). Suppose -4*o = -0 - 8. Suppose -y = -3*d + 19 + 153, a*d = o*y + 288. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**3 - 15 + 0*m**4 - 3\/25*m**5 + 1\/10*m**6 + 0*m + 0*m**2. Factor q(a).\nAnswer: 3*a**4*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-278)\/(-28) + 12\/21)\/((-1320)\/(-6160)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2249196 and 7.\nAnswer: 15744372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*((-212)\/36 - -6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/2 + k**2\/2 + k + 185. Let m(x) = -2*x**3 - 16*x**2 + 16*x + 2. Let g(t) = 2*l(t) - m(t). Solve g(i) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21266461 + 2?\nAnswer: -21266459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 2, y: 2, j: 2, r: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*j - 45, 5*j + 58 = -3*u + 179. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 121*r + 314. What is a(-63)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**8\/168 - 7*v**6\/120 + v**5\/12 - v**3\/6 - 57*v**2. Find the third derivative of d(a) wrt a.\nAnswer: 120*a**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1358 (b) 0.0325 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + c - 4*c)*(83 - 105627*c - 48030*c - 41 - 42 - 21262*c) in the form u + h*c + n*c**2 and give n.\nAnswer: 349838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*x - 169 + 61 = 558 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 3*l**2 + 102 - 110 + 5*l**2 - 2*l to q*l**3 + v*l**2 + h + c*l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 250470, 250512, 250554, 250596, 250638, 250680?\n\"Answer: 42*r + 250428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12. Let n = -19 - k. Let m(y) = y**3 + 19*y**2 - 4. Let j be m(n). Sort j, -5, -2 in ascending order.\nAnswer: -5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-4) - -4) + 1. Let w be t\/(-10) + 14\/5. Solve -5*j = 3*v - 12, -w*j - 2*v + 13 = -6*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 313*y**2 + 272*y**2 - 606*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, -21\/4, 0, 3, 14.4 in descending order.\nAnswer: 14.4, 3, 0, -0.5, -21\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/99 in 5, 1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/40*(-8)\/2. Solve a*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -74\/3, 1\/6?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 167*w + 18. Let y(v) = 2*v + 3. Let j(i) = r(i) + 6*y(i). What is the thousands digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176473 is divided by 615.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*c**2 + 16*c**2 - 11*c**2)*(-3*c**2 + c**2 + 0*c**2) to f*c**4 + z + w*c + t*c**3 + a*c**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/5193 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -m + j, 6*m - 4*m = -2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n - 130. Let k = -904 - -979. What is the remainder when k is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrtrrprmnrttrnnpn. Give prob of sequence ntt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 21. Let w(i) = 9*i**2 + 9*i - 12. Let o be w(4). Let v = o - 157. Calculate the remainder when g(0) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4200)*-4)\/((sqrt(30) + sqrt(150)\/sqrt(5))\/sqrt(5) - sqrt(6))*-6)**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 - (3 - 5 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -2\/15 (c) 25\/2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 0*b + 5*b. Let f(g) be the third derivative of g**5\/120 + g**3\/3 + 2*g**2. Let s(v) be the first derivative of f(v). Give d(s(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 3, 959808, 0.3 in increasing order.\nAnswer: 0.3, 0.6, 3, 959808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47189 is divided by 103?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/7)\/(-1))\/((-2)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 337473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1256? (a) -280 (b) 0.03 (c) 2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*f**6 - 95*f**2 wrt f.\nAnswer: 67680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3544 + 1774 + 1770 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1556*f*i**2*o + 2880*f - i**3*o - i**3 wrt o?\nAnswer: 1556*f*i**2 - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 + 26*u**2 - 41*u. Let n(r) = r**3 + 5*r**2 - 8*r. Let w(v) = 2*h(v) - 11*n(v). What is the smallest common multiple of 18 and w(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 14*q + 5. Let l(r) = 2*r**2 - 79*r - 107. Let u be l(41). List the prime factors of o(u).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/90, 32, 1\/6 in decreasing order.\nAnswer: 32, 0.5, 1\/6, -1\/90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -9)\/(4\/18). Let p = 18 + i. What is the third biggest value in -1, p, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -392, -935, -1694, -2669, -3860, -5267?\nAnswer: -6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 272\/102*99\/2. What is the highest common divisor of 88 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*u + 3*u = -30, -5*q + 2*u - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - (sqrt(3) - (0 + sqrt(243))) - sqrt(3) - sqrt(3)).\nAnswer: -5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143.6*-8.\nAnswer: -9148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*u + 18. Suppose 0*r + 5*v - 13 = 2*r, -5*v + 18 = u*r. Solve 4 = 2*o - o + 4*f, f = r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 5, w: 3, o: 1, t: 3, h: 1}. What is prob of sequence woft?\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(105\/(-98)) + -6. Calculate the remainder when (2 - 11)\/((-2)\/6) is divided by -5 + 0 + 152\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 - 307.77. Let r = 3921.475103 + -3923.705. Let g = r + v. What is g rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245.3 + -1438931\nAnswer: -1438685.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153)*5)**2.\nAnswer: -30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226465?\nAnswer: 5, 45293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from tknlnaakplalatnk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/4 - k**3\/3 - 9*k**2\/2 + 7*k + 24. Let u be f(8). Factor 1 + d**2 + 1024*d**4 + 64*d + 1024*d**3 + 3 + u*d**2.\nAnswer: 4*(4*d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 4964444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 9) in base 3?\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(114) + sqrt(114))\/sqrt(6).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2 + 3\/4*q + 3\/4*q**3 + 3*q**2.\nAnswer: 3*(q - 1)*(q + 2)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**3 - 11*z**2 + 4*z + 4. Let c(n) = -5*n**3 - 6*n**2 + 2*n + 2. Let j(u) = -11*c(u) + 6*i(u). Let h(o) = o**3 + o + 1. What is -2*h(a) + j(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -107*z - 3422. Calculate the remainder when m(-37) is divided by 170.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + 8 - (-4 + -1). Let j = 3 - c. Let w be j\/2 - (-22)\/(-28). Put w, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-1 - 8) + 4 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*q - 2 + 29, 5*q - 9 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.8, -90, -0.5, -5 in descending order.\nAnswer: -0.5, -4.8, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113.9 - 114. Is 0.1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-63)\/(-147) + (-27354)\/(-21).\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4182*d. Let g(l) = -2*l**2 + 10271*l. Determine b(g(a)).\nAnswer: -8364*a**2 + 42953322*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55524, 55523, 55522, 55521?\nAnswer: 55520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byykzzyooo. Give prob of picking 1 z, 2 y, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5805\/4*c - 6075\/4 + 267\/4*c**2 - 3\/4*c**3.\nAnswer: -3*(c - 45)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 275, 532, 765, 968, 1135, 1260, 1337?\n\"Answer: -w**3 - 6*w**2 + 282*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1184, 1136, 1066, 962, 812, 604, 326?\n\"Answer: -2*f**3 + f**2 - 37*f + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rubeuuux. What is prob of sequence rb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 + 2627*w**3\/2 - 5260*w**2 + 5262*w.\nAnswer: w*(w - 2)**2*(w + 2631)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 30, 60, 122, 228, 390?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 301 times 11.31\nAnswer: 3404.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjggsggjjssgygjgywg. Give prob of sequence ggsj.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-24)*(-1691370)\/(-22). Let q = n - 12817. Find the common denominator of 1\/2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15997, -5, -2, 3, -14, 1 in decreasing order.\nAnswer: 3, 1, -2, -5, -14, -15997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*(-3)\/5*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/120 + 2*o**5\/15 + o**4\/4 + 5*o**3\/3 - 19*o**2 - 36*o. Let l(i) be the first derivative of y(i). Calculate l(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 15*o + 1. Calculate x(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 - (9 - ((-3 - -12) + 6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 1\/30*r**5 + 0 - 1\/60*r**6 - 3*r**2 + 0*r**4 + 0*r + 0*r**3. What is the third derivative of h(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.6942 + -0.2?\nAnswer: -41.8942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 2*f**3 + 23 + 9*f + f + 23 + f - 18*f**2 in the form k*f**3 + b*f**2 + y + u*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85128, -85198, -85270, -85344, -85420, -85498?\nAnswer: -85578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -738 - -7371\/10. Is s >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447729 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-6)\/(-12)*-2). What is the tens digit of -68*((-5)\/c - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let z(j) = -7*j - 15. Let y(a) = 3*r(a) + z(a). Give y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:52 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-120)*(((-8)\/(-6))\/(-1))\/((-1746)\/7857)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -78, -32, -542, -4, 0 in decreasing order.\nAnswer: 1, 0, -4, -32, -78, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1272 divided by 4\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2184)\/336)\/(2\/(-8))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30460, 121801, 274036, 487165?\n\"Answer: 30447*q**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o + 5*g - 19 = 0, 2*g - 23 = -3*o. What is the greatest common divisor of 319 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/39 and -11\/126.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333217301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-3)\/12). Suppose 0 = -2*w + y, 6*w = p*w - 3*y - 10. Let q = 1 - w. Solve 5*v - q*z = 2, 0 = -2*v + 3*z - 9 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 - -14 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 4. Let t be y(0). Suppose 2 = n - t. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 2.6. Let o = h - 11.6. What is the nearest to 0 in o, 0, 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67037729?\nAnswer: 11, 2389, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -151\nAnswer: 30.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 + 484793*r\/4 - 235024252849\/8.\nAnswer: -(r - 484793)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose -b*y = -9 - 51. Suppose 13*v = 122 + 8. Calculate the highest common factor of y and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q**2 + 2*q. Let r(k) = -65*k**2 - 11*k. Let o(b) = -22*g(b) - 4*r(b). Let w(y) = 2*y**2 - 56*y + 56*y. Calculate w(o(h)).\nAnswer: 1352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 573044?\nAnswer: 1\/286522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-20) - (-21)\/5. Solve -v*m = -m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 5, 3, 0 in decreasing order.\nAnswer: 5, 3, 0, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 3*i. Suppose -5*l = k - 4*k + 12, -i*k + 5*l = -8. Calculate the highest common divisor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*q + 11*q. Suppose r - 16 = 2*f + q*r, 24 = -2*f - 5*r. Let i(w) = 150001*w**3 + 3*w**2 + 4*w + 4. Let b be i(f). Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j**(-1\/12)*j)\/j*j))\/(j**10*j))\/((j*j**(9\/4))\/j**(-1\/16)))**(-10) assuming j is positive.\nAnswer: j**(3415\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:54 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 2*n**2 + n**2 + 12*n**2 - 17*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -6*f + f. Let s be (5 + 0)\/((420\/(-24))\/(-7)). Solve -6*l + s*l + 8 = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 85*k + 2632. Does 4 divide x(57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -357, -579, -801, -1023?\n\"Answer: -222*g - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 4. Let v be j(5). Find the first derivative of 6 - v - 3*s - 2 - 1 wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-215)\/(-45) - (-10)\/(-4)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) + (-169)\/(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*w + 1023*w - 407*w - 60372 = 0 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -64*d - 175. Calculate r(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 - 2587008*r + 31043520 = 0. Calculate r.\nAnswer: 12, 646740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383646 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 714034555 to the power of 1\/2, to the nearest integer?\nAnswer: 26721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13339577 and -1.\nAnswer: -0.13339577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-6) - (-32)\/12) + 1. Solve 0 + 1\/5*c**2 - 2\/5*c**3 + 2\/5*c**g - 1\/5*c**4 + 0*c = 0 for c.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8693328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/966 and 19\/3864.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10832419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/115 and -57\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013632784052 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**2 + 6*o**3 - 7*o**2 - 10*o**3 - 7*o**3 + o + 12*o**2 in the form n*o**3 + i + d*o + r*o**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.57482*0.13\nAnswer: -0.0747266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -1, 189.\nAnswer: -4, -1, 11, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzzzsss. What is prob of sequence zzzp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 3, -3*u + a + 3*a = 4. Suppose -3*z + m + 1 = u, -2*z + z - 13 = 3*m. Sort 19, 3, z in descending order.\nAnswer: 19, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16 = -2*o, 0 = 7*o - 2*o - 2*n - 31. Suppose -3*u + 8*x = 13*x - 341, 0 = x + o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d - 33*d - 2*d**3 - 8*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012956177 rounded to 5 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.281 + 0.019. Which is the smallest value? (a) q (b) -2\/33 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 711 and 2257899.\nAnswer: 6773697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*l - 8, 4*l = -1506*k + 1509*k - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m - 20 = -61*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -1146?\nAnswer: 7\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 + 551*s - 6432. Calculate f(12).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(1\/2)\/c*(c\/(c\/(c*c**7\/c*c*c)))\/c)\/(c*c**6*c*c*c\/(((c\/c**0)\/c)\/c)))**(-2\/9) assuming c is positive.\nAnswer: c**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let f(z) = 4*z + 3. Let n be 37\/(-111) + 14\/(-3). Give n*i(h) - f(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3377*x**2 + 4261*x**2 + 3416*x**2)*(-x**2 + 6*x**2 - x**2) to q + h*x**2 + l*x + a*x**3 + g*x**4 and give g.\nAnswer: 17200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 a factor of 98171120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6684800 and 1152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61717571.\nAnswer: 61717571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-8)*6\/45\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 24*t - 200. Let v(p) = -6*p**3 + 5*p**2 - 5*p - 5. Suppose -7*q = -30 + 2. Let i(x) = x**3 - x**2 + x + 1. What is q*v(j) + t*i(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 1*sqrt(156))*-1 + -5*1*sqrt(156))\/((1*sqrt(96)*3)\/sqrt(8)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 30*s**4 - 36*s**3 - 30*s**2 + 33*s = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -3 - (-19 + 1) - -41?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81927080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (7 - 7 - (-5 + (-1 - 0)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485590212 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -8*q**3\/3 + 3*q**2 + 6*q + 444. Let m(k) = -7*k**2 + 5*k + 6. Give 6*m(r) - 5*t(r).\nAnswer: -2*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -35, -4, 2\/5, -1.79.\nAnswer: -35, -4, -1.79, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*b - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12089489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1519 - 5971. Let d be (9\/12)\/(o\/(-32)). Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1659364 + 1659330.70095. Let j = a + 33.3. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2580810, 5161608, 7742406, 10323204, 12904002, 15484800?\n\"Answer: 2580798*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 122426471?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 5.1. Put r, 1\/10, -11 in ascending order.\nAnswer: -11, 1\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7186661c + 2?\nAnswer: -7186661a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five eighths of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 8*z - 9. Let i be f(-7). Calculate the remainder when 13 is divided by i - ((-5 - 2) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3291097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by 7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -912. Let z = -2545\/3 + m. Find the common denominator of (2\/(-8))\/((-10)\/(-312)) and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -2\/7, 4\/3333, -2, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*h = -11, 3*a - 2*h + 1 + 13 = 0. Is 53 a factor of (1 - -41)*((-50)\/a + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -83, 1176, 3625, 7660?\nAnswer: 13677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, w: 2, e: 3, t: 1}. What is prob of picking 1 w and 1 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667 at most -1667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 31 = -5*s. Suppose -5*k + 2*t - 23 = 0, t + 4 = 2*k + 14. Let w = k - s. Solve -4*y + 4 = 4*b - 0*b, 2*y - w = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 26606.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)\/(m*(m\/(m*m*(m**7*m)\/m))\/m))\/(m**7*m**(-2\/3)*m))\/(m**(-1\/4)*m**(-3\/4)\/m)**(32\/7) assuming m is positive.\nAnswer: m**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 + 251.466. Let u = t - 0.066. Which is the nearest to u? (a) -0.5 (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**4 - 2*p**4 + 0*p**4 + (2*p + 0*p + 2*p)*(-13*p**3 + 7*p**3 - 11*p**3) to f + y*p + d*p**2 + i*p**3 + h*p**4 and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 10*b**2 - 10*b + 9. Let p be (5\/4 + -4)*-4. Is 4 a factor of t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 7*b - 5*c + 15, 0 = -b + 2*c - 6. Let k(z) = 6*z**2 - z. Let a be k(1). Solve b = -0*x + x + a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 385 - 346. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43368, 13, -0.05, -3 in descending order.\nAnswer: 13, -0.05, -3, -43368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f)*(2 - 2*f - 2) + 0*f**2 + 2*f**2 - 3*f**2 + (0 + 2 + 4)*(-3*f**2 + 5*f - 5*f) + (3*f + f - 3*f)*(2 - f - 2).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1961, 3918, 5875, 7832, 9789?\nAnswer: 11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48504 = 29*m - 22082. What is the smallest common multiple of 54 and m?\nAnswer: 65718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**5\/5 - 27*b**4\/2 - 61*b**3 - 63*b**2 - 224. Factor p(h).\nAnswer: 3*h*(h - 21)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/25)\/(2\/(-5)). Suppose 2*g = -3*g + 20. Suppose 5*m = 3*v + 20, 4 = g*m - 3*m + 2*v. What is the greatest common factor of t and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473039462 divided by 826.\nAnswer: -572687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111 (base 2) in base 4?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 273, 757, 1705, 3273?\nAnswer: 5617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 6*t - 4. Let f be p(-2). Solve 0 = v - f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 - -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.0582759.\nAnswer: -0.5582759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*q + 10 = -6*q, 3*r - 1 = -5*q. Suppose 0 = 2*o + 5*x - 60, -5*x - 92 = -r*o - 2*x. Let l = -24 + o. Solve 3*u - l = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1)**(1\/35)*(((q**(-3\/2)\/q)\/q)\/q)\/q**(1\/3))\/(q*q**5*q*q*q**(1\/2)*q**(-4)\/q**(1\/2)) assuming q is positive.\nAnswer: q**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -0.08 in ascending order.\nAnswer: -16, -0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*l = 56*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 - 198 = -5*j. Let i = 92 - j. Suppose i*r + 5*o - 5 = 16, -5*o = -5*r. Solve -5*z = c, -c + 17 = -5*c - r*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1587 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 4 (c) -1\/9 (d) -0.2 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16079 - 237*v**4 - 16079)*(0 + 1 + 0)*(8*v + 17 - 17).\nAnswer: -1896*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvv. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 85470 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4 - c**3 - 11*c**2 - 3*c + 14*c - 1. Suppose 40 = -5*t - 5*r, 43 = -5*t - 4*r - 1. What are the prime factors of z(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -300521*j + 300510*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + 8 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 508, 510, 512?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 2, 1738, 5.\nAnswer: -2, 2, 5, 22, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcdiiocitcidotdt. What is prob of sequence ocit?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + (1 - 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.015 - 1.015. Let b = -83\/18 + 9\/2. Sort r, b, -4\/3.\nAnswer: -4\/3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1475 - 1474. What is the nearest to h in -0.2, -0.33, -5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*-2*1\/2. Let m(l) = -l**3 - 5*l**2 - 6*l - 2. Give m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 422, 442, 460, 476, 490, 502?\n\"Answer: -z**2 + 23*z + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -17 - -47 - 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186280225, 186280221, 186280215, 186280207?\nAnswer: 186280197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.053601209?\nAnswer: -0.946398791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14020.8848 + 13929.9. Let i = v + 91. What is i rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074 - 4119 + 2*g - 2*g**2 + 15*g**3 + 2045.\nAnswer: 15*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479.8528ns to microseconds.\nAnswer: 0.4798528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18122*f**3*p**3 + 2*f**3*p - f**3 + 2*f*p**2 - f*p + 135*p**3 wrt f?\nAnswer: 108732*f*p**3 + 12*f*p - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - k - 13 = 0, 0 = -5*x + k + 8174 - 8125 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (10\/(-6) - -1). Let h = -13699 - -13699.1. What is the closest to 2\/3 in 0, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19247409130 rounded to the nearest 1000000?\nAnswer: -19247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.9 less than -2?\nAnswer: -682.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -m - 0*m - 8, -261*m - v + 5 = -263*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.6823 - -1.6823. Put h, 1, -1, -1\/2, -0.3 in descending order.\nAnswer: 1, -0.3, -1\/2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 89 = -79. Let f be 26\/(-60) - y\/105. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-6))\/(-313 + 320)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93753 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let i = -80 + 82. Let r(c) be the second derivative of 559*c - 554*c + c**3 + i*c**3 - c**3. What is r(o(p))?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -104420 (base 5) in base 13?\nAnswer: -1914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1567 + 2614. Suppose n - 4118 = -4*j, 1021 = 2*j - 4*n - g. What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9. Let l(y) = y + 55. Determine -39*h(t) + 6*l(t).\nAnswer: 6*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 618*o + 234.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 16, y: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11478890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*p - 143*p + 68*p - 407*p - 141*p.\nAnswer: -852*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**4 + 1\/70*m**7 + 0*m**3 + 9*m**2 + 1\/15*m**5 + 0*m + 0 + 0*m**6. What is the third derivative of s(d) wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12132410 (base 5) to base 12\nAnswer: 5648a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.107 times 0.15\nAnswer: -0.01605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**2 - 8 + 8 as k*a + q + x*a**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h. Let w(d) = 58140*d**2 - 2*d. Calculate w(m(p)).\nAnswer: 930240*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let n(j) = 19485381*j**2. Determine x(n(d)).\nAnswer: 19485381*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 13 + 143 = 0. Let t be (6 + x\/(-5))*(-10)\/(-4). Suppose -3 + 4*q + 9*q**2 - t*q**2 - 8*q**2 = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 5 + 2 - i**2 - 7 in the form x + z*i**2 + u*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 506 - 486. What is the derivative of k + 8*p + 117*p + 6 - 55 - 60 wrt p?\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -894, -1342, -1792, -2244, -2698?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57628485 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-p**2 - 26*p**2 + p**2).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 4*c. Let b be c\/((-1)\/(-1) - -1). Suppose 0 = 4*n - 2*n + 4*n. Solve n = b*k + 2*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2242981 and -35\/4.\nAnswer: 8971924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 43*y - 245. Let p be 55\/(-165) + ((-38)\/(-6))\/1. Let o be x(p). Is -2\/7 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 59, -1\/47, -18, -0.3, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -33. Suppose 6*p - 52 = 2*p. What is the highest common divisor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -34. Let h = -14 + l. Suppose 5*d + 4*g = -85, 3*d + 13*g - 17*g + 83 = 0. Sort h, -2, d in decreasing order.\nAnswer: h, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40601607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*j = 234*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m**(-1)\/m))**(-26))**(-12) assuming m is positive.\nAnswer: m**1560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1192)\/24 + 8)\/((-3104)\/(-3108) - 1).\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -16, -0.03, 8?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-19863)\/(-15)*(20 - 55\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -227*o**3 + 2*o**2 + 6*o - 8. Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:25 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137\/2 - -66. Let m = 99 + -95.95. Let r = m - 0.05. Sort r, b, 3\/2.\nAnswer: b, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.69 and -0.040945.\nAnswer: 0.02825205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k - 4. Let y(u) = 5 + u - 3*u + u**2 + 0*u. Suppose -5*x + 2*g = 30, -2*g + 0 = -x - 14. What is x*f(r) - 3*y(r)?\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/((-9)\/(-27) + (-2211)\/6606). What is a rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 72*l**2 - 2806*l - 114. Give j(39).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from zmzmmzmmmz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000445910474 to 7 dps.\nAnswer: -0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-2)*142\/23217*109?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 - 3*m + 18. What is u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 0.1, 1\/5, 0, 264 in increasing order.\nAnswer: 0, 0.1, 1\/5, 1.7, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222220 - -231320?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 divided by 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + o = -2*o. Let a = 69 + -48. What is the closest to 0.1 in 4, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/13689 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syyy when four letters picked without replacement from yyyysssyys.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2. Let h(n) be the third derivative of -n**4\/6 - 27*n**2. What is h(k(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/6 - 5*k**3\/6 - 2*k**2 + k. Suppose 2*d + 36 = -2*x, x - 5*x = d + 18. Let b = -21 - d. Give z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -5 (b) -1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 707, 732, 757, 782?\n\"Answer: 25*s + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 32\/1483?\nAnswer: 32\/1483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-1)\/(-2) - -5. Let n = -85 + 108. Suppose -57 = 4*m - n*m. Solve m - a = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -218 divided by -1775\nAnswer: 218\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Suppose -4*y = -25 + b. Suppose -5 = y*g - 95. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*u - 1894 = -2*p, 2472 = 4*p + 4*u. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.48 + 8.48. Let g = -13 + 8. Let y = j + g. What is the second biggest value in 0.06, -0.3, y?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -27.6. Let h = -5914 + 5915. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 - 14*a**2 + 2*a**2)*((3 - 6 + 0)*(-5 + 12 + 4) + (2 - 1 + 0)*(-23 + 25 - 54)) to b + w*a**2 + z*a and give w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 579, 1161, 1795, 2505, 3315, 4249, 5331?\n\"Answer: 4*y**3 + 2*y**2 + 548*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(144)\/sqrt(8) - sqrt(18)) - sqrt(18))\/(sqrt(96) + sqrt(96)*-2).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (82\/10)\/((-41)\/(-808315)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -78*p + 3. Is z(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 5, o: 2, j: 3, d: 3}. What is prob of picking 2 d and 1 j?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i + 4. Let u(l) = 11*l - 159. Let m(s) = 21*s - 371. Let v(d) = 6*m(d) - 14*u(d). Calculate n(v(h)).\nAnswer: 252*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 159940000 to the nearest 1000000.\nAnswer: 160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 - -59229?\nAnswer: 59305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.2 - -14. Which is the second biggest value? (a) 0 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**5\/20 + 11*f**4\/12 - f**3 - 7*f**2 - 26*f + 17. Let j(w) be the first derivative of b(w). Is j(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 20. Let j = 114 + -110. Suppose j*a + 0*x - x + 7 = 0, -2*a + 3*x = -9. Let v be n(a). Solve 0 = -3*y + v*t + 17, 2*y - 3*t - 2 = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340000 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -3\/2 (c) -1\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**3 - 2*k**2 + 2*k. Suppose -18*z + 19*z = -3*j, 0 = 5*j + 5*z - 20. Let f(c) = -8*c**3 - 3*c**2 + 3*c. Give j*f(m) + 3*v(m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y + 2 - 7*y + 12 - 2. Let u(f) = f. Determine k(u(w)).\nAnswer: w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 7*a - 4. Let l be t(5). Suppose -2*g + 3*g + 8 = 4*n, 3*n - g = l. Suppose b - 18 = -n. Solve -4*f + 5*s + b = -4, 4 = -2*f - s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/3 - 6748*c**2\/3 + 5705410*c\/3 - 22713800\/3 = 0?\nAnswer: 4, 1685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*q + 6333, -n = q - 5*n - 3168. Let d = q - 2103. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 776*v**3 - 9504*v**2 + 38272*v - 51200.\nAnswer: 2*(v - 4)**3*(v + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -3.9. Let w = -9 - j. Which is the closest to -2? (a) 5\/4 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 9 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/60 + s**4\/6 - 2*s**3\/3 + 2. Let j(m) be the third derivative of f(m). Does 9 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1831*y**3\/3 - 9159*y**2\/2 - 14*y - 211. What is the first derivative of g(v) wrt v?\nAnswer: -3662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w - 4*w - g - 10, -3*w - 4*g - 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 3*i - 4. Let l be o(-3). Suppose -c - g + 20 + 25 = 0, -3*g - 209 = -l*c. Let j = c - 18. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1277962478.\nAnswer: -1277962478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4*f + 11)*(-36*f - 3*f + 4*f - 28*f).\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21*t**3 - 3*t**2 + 576*t - 15. Let a(h) = -61*h**3 + 8*h**2 - 1729*h + 40. Calculate -3*a(k) - 8*z(k).\nAnswer: 15*k**3 + 579*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**1))**36)**(34\/5) assuming k is positive.\nAnswer: k**(-1224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/(105\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 507 = -14*p - 489 - 292, -p - 35 = -0*p + 4*i for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 14*v + 37. Let z be w(-11). Let x(q) = 32*q**2 - q + 16. What is the units digit of x(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 2*(sqrt(5) - sqrt(25)\/sqrt(5) - sqrt(5))) + -1*sqrt(5) + -4 + -4 + 0)**2 + -3.\nAnswer: -32*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*-1*sqrt(432) + 3 - 5*4*(sqrt(432) - 3*sqrt(432))*-1.\nAnswer: -180*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56 + (-6)\/3 - 1. Let d = 81 - b. Calculate the greatest common factor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12366597 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2916180024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) 10\/23 (c) 40 (d) 0 (e) 3 (f) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1667560270 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**3 + 2*s**2 + s - 1. Let y be n(-3). Let o = -115 - y. Let r = o - 59. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/(-21) - (-2)\/(0 + -6). Let v(k) = -2*k**2 + k + 5. Let y be v(x). Let f(n) = n**3 + 46*n**2 + 87*n - 72. Let c be f(-44). Sort y, 2, c, -1.\nAnswer: c, y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 205*l + 22*l - 121*l - 154*l + 42*l to d*l + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) - (sqrt(8) - (-2 + sqrt(8))))**2 + sqrt(8) - sqrt(100)\/sqrt(2)) + -3 - 1*(sqrt(162) + (0 + sqrt(162) + sqrt(162))*1)**2) + 0.\nAnswer: -1449 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 127 + -115 + (-1 - -26)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129246 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: Solve -544*u - 14*u + 31302 = 108*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*f + 836694 = -10521*f - 2388*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 + 27082*m\/5.\nAnswer: 2*m*(m + 40623)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10328 + 10327. What is the nearest to m in -66, -13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4913404 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 - 4*l - 15. Let v(y) = -11*y**2 - 9*y - 29. Let w(d) = 13*c(d) - 6*v(d). Let n be w(10). Let f = 1 + n. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.088 times -228770\nAnswer: 20131.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121627, 1, -5 in increasing order.\nAnswer: -121627, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4526*t - 27 = -4529*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1554089\/3280 - -2369\/5. Let p = -34167\/7216 - j. What is the common denominator of p and (0 + (-8)\/(-14))*3?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/223, -1\/6, 4\/11, 2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43120458 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2068604271385 - -185.\nAnswer: -2068604271200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799413 a multiple of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and 2032377.\nAnswer: -105683604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*c = -18 - 7, -4*c - 36 = -4*s. What is the remainder when 31 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 6, d: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/18 - (2 + 2\/(-1)). Let k be (-7)\/(-21)*3\/b. Sort 3, 5, k, 0.4.\nAnswer: k, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1696 - 1692. Let l be (-6)\/4*(-2)\/(-9). Put 0.03, a, l, -4 in increasing order.\nAnswer: -4, l, 0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 54*s**2 - 3*s - 134. Let w be d(-54). Sort -4, w, 0 in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0 + -2 + sqrt(33)\/sqrt(3))*3)**2 + -5 - (0 + (-1 + sqrt(396) - sqrt(396))**2*5 + -5).\nAnswer: -360*sqrt(11) + 9931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/140 and -11\/1300?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 949 - 6645\/7. Which is the second biggest value? (a) z (b) 0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -132. Suppose -576 = -a*z + 3894. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-8 - -20)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15a + -1?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*48\/(-8))\/(-2))\/((-27)\/(-16))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from bkyhfzhb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 4, h: 3, w: 2}. What is prob of sequence hs?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 18. Put -1, x, 3 in decreasing order.\nAnswer: x, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*p**2 + 230412*p - 20446042?\nAnswer: 56*p + 230412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69142594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -558649, -558648, -558647, -558646, -558645, -558644?\n\"Answer: j - 558650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4 = 2*u + q, -u + q = 4. Suppose u = -2*z - p + 4, z + 2*z = p - 4. What is the first derivative of -2*v**2 + 1 - 3*v**3 + z + 2*v**2 wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.3 - -4.3000017. Round n to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-324 + 324 + 139*l**2)*(-3*l + 3*l - 4*l + (-l + 6*l + 6*l)*(1 - 4 + 4)) to the form t*l**3 + b + k*l**2 + n*l and give t.\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3329 and -575.\nAnswer: -191.4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2539*p + p**2 - 2539*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2109698\nAnswer: -2109702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1377, -1376, -1375, -1374, -1373?\n\"Answer: w - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2348 + 5767. What are the prime factors of m?\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 49*f + 47. What is the tens digit of u(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1510*z - 94773 = 35087 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95706235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -4, -2\/4079.\nAnswer: -4, -2\/4079, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-5 - 15)\/((-6)\/(-2)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 17 = 4*q - 8*n, 4*q = -5*n - 7. Let v be (q\/2)\/(219\/(-730)). Solve 3 + 1 = 2*a, 0 = u + v*a - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336.2028 - 202839060.\nAnswer: -202839396.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1404 divided by 27\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -44, -3, 4, -1 in increasing order.\nAnswer: -44, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 47, 41, 35, 29, 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 13211?\nAnswer: 13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 6*a - 5. Let x be r(7). Let c = -2 + 6. Suppose x*l = o - 41, -c*o + 7*o - 118 = 5*l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 - 13*m**2 + m**2 - 5*m. Let o be r(-4). Solve o*w - 8 = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/27, -1, -5, 1.6 in increasing order.\nAnswer: -5, -1, 1\/27, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 1, g: 2, c: 1, x: 1, p: 1}. Give prob of sequence kx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.8. Let g = 0.08 + -15.08. Let l = g + 15. Which is the nearest to s? (a) l (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1394316, -27, -3 in descending order.\nAnswer: 1394316, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2035551 - -34?\nAnswer: 2040025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/((y*y\/(y\/y**5)*y*y*y*y)\/y))\/(y**(-1)*y*y\/(y*y\/(y\/y**(1\/6))))*(y**(-6)*y*y*y**(-1\/7)\/y)**18 assuming y is positive.\nAnswer: y**(-4427\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {d: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -962.411 or -1\/3?\nAnswer: -962.411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 2*s - 2. Let x be p(-2). Suppose 3*b - 4*u + 18 = 0, -2*b - x - 2 = 3*u. What are the prime factors of 28\/(-42) + (-166)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + -1 + -1 - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 130 = -6*i + 4*i, 0 = -p + 4*i - 48. Let q be (-7)\/(p\/8)*16. Let o = 110 - q. Does 39 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 smaller than 11069468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543372 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((25\/(-75))\/((-2)\/5)). Let z(h) be the first derivative of 1\/24*h**u + 0*h + 3\/8*h**4 + 1\/8*h**2 - 1\/5*h**5 - 11 - 1\/3*h**3. Factor z(x).\nAnswer: x*(x - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 - 3*v - 7. Let c(w) = -w**3 - 5*w**2 - 4*w - 8. Let g(u) = 5*c(u) - 6*z(u). Let r(k) = -k**3 - k + 1. What is g(q) - 2*r(q)?\nAnswer: 3*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240157 - 136040. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-1) - 320784\/12388?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**9\/42 - m**5\/15 - 27*m**2. What is the third derivative of v(y) wrt y?\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -1048, 2, -3?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 22 = -17*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 3, l: 9, o: 3}. What is prob of picking 2 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.711 - -0.7639. What is r rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiff when four letters picked without replacement from iiffff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -712, -656, -556, -406, -200, 68?\n\"Answer: t**3 + 16*t**2 + t - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2655 - 1681. What are the prime factors of s?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**3 + 13*v**2 - 33*v - 2. Let c be i(-15). Suppose 4*w + 21190 + c = -2*d, -3*w - d - 28580 = 0. List the prime factors of (-1)\/5 + w\/(-55).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*s**4 + 6 + s - 3*s**3 - 3 to the form m*s**4 + y*s + g + r*s**2 + u*s**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))\/((((s\/(s*s**(1\/2)\/s))\/s)\/s)\/s)*(s\/s**0)**30 assuming s is positive.\nAnswer: s**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -552 + 549. What is the second biggest value in s, 0.14, 3\/5, 0.97, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14*h**3 - 53*h**2 + 898*h - 4851. Let g(u) = -3*u**3 - u. Let r(s) = f(s) - 5*g(s). Factor r(b).\nAnswer: (b - 21)**2*(b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125547, -125700, -125855, -126012, -126171, -126332, -126495?\nAnswer: -126660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 9*m**3 + 0.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 83*t**3 - 680*t**2 + 684*t - 2. What is k(1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/(-10))\/(-1)*8. Which is bigger: -21 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 - 18. Let f = y + 0.6. Which is the third smallest value? (a) 1\/5 (b) 6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqhsqsqlcsd. Give prob of picking 2 q, 1 d, and 1 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 414890 divided by -70\nAnswer: -5927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2226 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/10)\/(-4*2\/120). What is the units digit of ((147\/d)\/7)\/((-4)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 691\/7. Which is the smallest value? (a) -5 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 11. Let b(l) = 9. Let d(j) = -5*b(j) + 4*i(j). Let w be d(0). Is w at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Let a(f) = -f + 16. Let r be a(11). Let h(v) = 4 - 5*v - r + 4*v. Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 35*z + 1518. Let a be g(23). Calculate the highest common divisor of a and 3128.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 22212?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 20*q - 65. Let h be z(-4). Let g be 7 - 2*(-2)\/(-4). Which is the nearest to h? (a) -4\/9 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -428.386 - -428.4. Sort -2\/15, b, 5, 2 in ascending order.\nAnswer: -2\/15, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 850815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16287)\/(-124867))\/(213\/46).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let m be 5*1 - (-5 + f). Suppose 3*u = 5*x - 26, -3*x + 4*u + m = -2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*l**2*m*u**3 + 6*l**2*m*u**2 + 5*l**2*u - 3*l*m wrt u.\nAnswer: 426*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -154743.01 rounded to the nearest one thousand?\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 14)*((3 - 3 - 2*w)*(2 + 0 - 1) + (3 + 0 - 1)*(-2*w - 2*w + 3*w) + 4*w - 3*w - 2*w + 12 - 24 + 7 + 4*w) to the form a + x*w and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/8*(-8)\/(-10). Solve -2*p - d + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20235 and 1995.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -39, -56, -91, -150?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109700, 109707, 109716, 109727, 109740, 109755?\n\"Answer: p**2 + 4*p + 109695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 12*p - 27. Calculate m(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-5))\/(86\/215)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 374 and 386 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/3 - 9*d**2\/2 - 4*d. Let j be f(-6). Suppose 23*i - 22*i - j = 0. Solve 0*v = v - i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 908*n**3 + 77049*n - 33420*n - 4*n**4 + 3676*n**2 - 39017*n + 1848 = 0?\nAnswer: -2, -1, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34559147 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/4 - 13468247*f**4\/2 - 90696811690007*f**3\/2 + 181393697455379*f**2 - 906968601757009*f\/4 + 181393731126001\/2 = 0. Calculate f.\nAnswer: -13468249, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 + 3641*a**3 + 7278*a**2 = 0. What is a?\nAnswer: -3639, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*59\/12036 - 1950\/40*(-4)\/954?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(44) + sqrt(3564) + sqrt(3564)*2 + sqrt(44)))\/((sqrt(216)\/(-2*sqrt(6)))\/(5*sqrt(81))).\nAnswer: -3480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 91*o**2 - 3*o - 242. Calculate the least common multiple of p(-91) and 29.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 2*b - 18 = -100, 0 = 2*l - 4*b - 62. Let w be (-6)\/8*(-5 + 1). Let v = -1 + w. Solve 10 = l*g - v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 840039779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - 13*z**2\/2 - 11*z + 65. Determine b(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36242212 (base 7) to base 6\nAnswer: 153005514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 + 2*y\/9 = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*2*sqrt(228))\/(-2*sqrt(972)*-1).\nAnswer: -10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131*g**4 + 399 - 69*g**4 - 27*g**4 + 52*g**4 wrt g.\nAnswer: -700*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3352839 or 3352820?\nAnswer: 3352820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 521422311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -5?\nAnswer: 204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1379*c - c**2 + 1374*c - 2*c**2)*(20 + 57 - 13 - 3*c).\nAnswer: 9*c**3 - 177*c**2 - 320*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g + 19. Determine t(-11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 - 24. Let h be r(-2). Solve c = 3*a - 1, 3*a + h*c = 8*a - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1920652.41706 - -108.\nAnswer: -1920544.41706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, 4, -5 in decreasing order.\nAnswer: 23, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21088217, -21088214, -21088209, -21088202, -21088193?\n\"Answer: c**2 - 21088218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74167642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*p + 24011 - 8535 = -16710. What is the least common multiple of 95 and p?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4*2\/(-1496)). Let h = s - 111. Let k = h + -52. Solve 0 = x - 4*p - 21, 4*x - 4*p - k = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17283 - -17271. Which is the nearest to 0? (a) t (b) -4 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -604 + 603.9501. Let k = 8.3901 - d. Round k to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 168.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3679)\/2264*(-6)\/78?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -261249\nAnswer: 1044996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 3*s)*(-2 + 6 + 0)*(6 - 2 - 1)*(185 - 185 - 5*s)*(25*s**2 - 17*s**2 - 38*s**2).\nAnswer: 1800*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7700)\/132*(-102)\/425.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z**2 - 1. Let g(d) = 413*d**4 - 6*d**3 - 6*d**2 - 133. Let x(p) = -g(p) - 6*y(p). What is the derivative of x(h) wrt h?\nAnswer: -1652*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0189904974 to 6 dps.\nAnswer: 0.01899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -963 divided by -15531?\nAnswer: 321\/5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - (-15 + 9 - -14)) + 9 - 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 84*k + 1. Is m(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 126. Suppose 33*j - 20*j - 104 = n. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -23, 2\/31, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 545240327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 252*d**4 - 60315*d**2 + 60315*d**2 + 7*d + (4 + 3 - 6)*(-2*d**4 - 3*d**4 + 3*d**4) - 5*d**4 + 3*d**4 + 3*d**4 - 3*d**3 + 2*d**4 + 3*d**3.\nAnswer: 253*d**4 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 148. Give t(-36).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*s**2 + 73*s**2 + 77*s**2 + 70*s**2 - 10*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (2 + -1)) + 3. Suppose -r - u - 8 = 0, -3 = -3*r - b*u - 22. Let c be 160\/3*(903 + r). What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (246\/1107)\/((-17)\/9).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -600.39 - -602. Let r = y - 1.51. What is the nearest to r in -0.2, -0.05, 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 3*z**2 - 3*z + 2. Let v be o(2). Let n(u) = -u**3 - 15*u**2 - 57*u - 13. Let b be n(-6). Sort -5, v, 0, b in increasing order.\nAnswer: v, -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfyjhftftryhhf. Give prob of picking 1 h, 1 j, and 2 f.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487156580.\nAnswer: 2, 5, 19, 683, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 92777?\nAnswer: -1\/92777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983551.\nAnswer: 769, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-12)*-3)\/(21*8\/264).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 23984\nAnswer: -9593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 431, 0.4, -3, 4\/3, 5, -63?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11248 divided by 8?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.07, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.407 times 4?\nAnswer: -1.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2441 - -2443. Let u = -20 - -55. Let o = u + -32. Solve -3*g - 3 = -3*k + o, -k = -p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, 5, -4, 2 in decreasing order.\nAnswer: 17, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2198 (base 10) in base 15?\nAnswer: -9b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 11824\/7431 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8386923 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 5. Let m be y(-6). Let p = -35 - -34. What is the common denominator of p\/m + (-3950)\/(-210) and 65\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (2 - 2) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 599.6961 months?\nAnswer: 0.49974675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/7)*q*q)**(5\/8)*(q*q**(1\/38)\/q)\/(q*(q**(5\/2)\/q)\/q) assuming q is positive.\nAnswer: q**(-523\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + 3*x + 2. Let l be m(-1). Solve -d = -1 - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 6)*55\/(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Let y be q*(-2 - (-3)\/2). Solve y = 2*o + x - 10, 0 = -6*o + o - 5*x + 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 29 - 59 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 657?\nAnswer: -1\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.00032 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -0.4 (b) -5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126208, -504651, -1135392, -2018431, -3153768, -4541403, -6181336?\n\"Answer: -126149*g**2 + 4*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5802 - ((-8)\/(-7) + 1200\/175)?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-60) + (-3)\/18. What is the second biggest value in 0.1, -4, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -73261*v. Let f(h) = 3*h. Determine f(r(j)).\nAnswer: -219783*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 13 - (-8 - -10)) + 13 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 14*i + 29. Let z be d(-11). Is (-10)\/z + 6699\/66 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-7)\/5)*25\/(-10). Let t(h) = 5*h**2 + 14*h - 3. Let g(d) = -2*d**2 - 5*d + 1. Calculate i*t(u) - 17*g(u).\nAnswer: 4*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(75) + sqrt(3) + sqrt(3))**2 + sqrt(432) + (sqrt(432) - (sqrt(432) + 0 - sqrt(432))**2) + -1.\nAnswer: 96*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfntfffppp. What is prob of sequence tp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/1967930?\nAnswer: 3\/1967930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 2 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 - 274 = 19*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 106. Suppose -4*y + 406 - 378 = 0. Calculate the remainder when t is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + 18\/14. Let b = 0.4 + -2.4. Let x = -83\/217 - -3\/31. What is the nearest to -0.1 in z, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*q**2 - 294*q + 588*q - 307*q in the form f*q**2 + w + v*q and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + l + 1. Give g(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8419 + -8416. Let d = 0.2 - 0. What is the smallest value in -5, r, -4, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = -129 + 21. Let p(i) = -3*i + 6. Give p(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70399340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1197 - -1196.9999996684. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 57 = -48. Let i(j) = j**3 - j**2 + 1. Suppose -3*z = -2*n - 17, n = z - 9 + 2. Let b(x) = -4*x**3 + 5*x**2 - 3. What is s*b(m) + z*i(m)?\nAnswer: -m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.53235 weeks to milliseconds.\nAnswer: 57173165280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1655948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*s - 318*s - 307*s.\nAnswer: -1211*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 16 + 5 = 0. Let r be -2*3\/4*(g + 1). Solve 4*u = h + u - 18, -r*u = -3*h + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(2 - 2 - 1)*(9813 - 350*n**2 - 9813)*(n**2 + n**2 - 3*n**2)*(-3*n + n - n) - n**2 + n**2 + n**5.\nAnswer: -3149*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 - 4*n**2 - 4*n - 4. Let i be w(-3). Let c = 253 + i. Suppose -t + c = t. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -t - 156, -t - 83 = 2*b + 61. Suppose 5 = 5*c, 3*a + 159 = -0*a + 3*c. Let u be t\/a - (-12)\/78. Solve u*y + 11 - 2 = 3*w, -2*w + 15 = -5*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 2025711?\nAnswer: 16205688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**2 + 613045644*z + 31318746802281228 = 0.\nAnswer: -102174274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3238823855042 and -31?\nAnswer: 3238823855011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 5)*(-101*x - 116*x - 5948*x)*(-x - 3*x + 5*x) in the form g + c*x**2 + i*x and give c.\nAnswer: 24660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r + 21*r + 10 - 10*r. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**3))**(-6)*x**(-16)\/((x*x**(-1\/6)*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q + 8. Suppose -8*m + 351 = 407. Calculate s(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + 6.84. Let j = i - 6. Is 6 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -0.5 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-148)\/(-160) - (10\/35 - (-9)\/(-56)). What is the nearest to 2\/7 in 6, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 116. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1876089407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - -55. Let k = x - 13. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.62 + 1.68. Let m = 4 + -8. Let f = u + m. Which is the nearest to -2\/5? (a) -1\/5 (b) 6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117668201 to the power of 1\/2, to the nearest integer?\nAnswer: 33432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 + 252694*y\/7 - 252695\/7.\nAnswer: (y - 1)*(y + 252695)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -453, -1688, -3751, -6696, -10577, -15448?\n\"Answer: -9*z**3 - 360*z**2 - 92*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(1573))**2 - (-2*(0 + sqrt(1573)))**2.\nAnswer: 18880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*l**2 + 11*l**3 + 37*l**2)*(0*l + l**2 + 0*l) + (2 - 2 - l)*(-l**4 + 2*l - 2*l).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*t - 63, 2*l + 5*t - 806741 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -215*c. Let m(i) = 91516811 - 91516811 + 32*i. Determine y(m(z)).\nAnswer: -6880*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 39\/5 of a millennium?\nAnswer: 93600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3\/3 + 7892*h**2\/3 + 31616*h\/3 + 10544 = 0?\nAnswer: -2, 1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -334, -815, -1436, -2197, -3098?\n\"Answer: -70*y**2 - 271*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(2\/39)*(j**(-1\/4)\/j)**(-11) assuming j is positive.\nAnswer: j**(2153\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593 = 5*z - 1087. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27206*b + 27202*b + 108 + 129)*(b - 4*b + b).\nAnswer: 8*b**2 - 474*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 52*x + 191. What is m(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 14*s + 16. Let j be f(5). Put j, 4\/7, 0, 0.05 in descending order.\nAnswer: 4\/7, 0.05, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525085.\nAnswer: 5, 305017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14 + (4 - -9) + 4. Let y = 137\/3 + -45. Which is the second smallest value? (a) -4 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570 = -200*k + 295*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 61 - 53 = -8*g, 2*w = 4*g + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -130 + 124 + (-2 + 2 - -2) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 - 13*f - 8. Let x be j(6). Suppose -5*n - x = w, 3*n + 6 = -w + 2*n. Sort -4, w, 2.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125051035861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4561, 5296, 7279, 11134, 17485, 26956?\nAnswer: 40171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*sqrt(1872)*-4 - (sqrt(1872) + 0 + 1)) + sqrt(1872)*1*5 + -5 + 4))**2.\nAnswer: -9216*sqrt(13) + 4313152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 803.7?\nAnswer: 4018.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:47 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -6?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-449)\/(-140) - 1)*14\/(-252)*-15 and (-1)\/(-4)*594\/(-105).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1047)\/5355 + (-94 - (-158499)\/1683).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/105*5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.203086 and 4109.\nAnswer: 834.480374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + (-1486)\/(-6))*(-273 - -282).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 10*h - 9. Let j(i) = 6*i - 12 - 3*i**2 + 4 - 7*i - 8*i. Let g(f) = -2*c(f) + 3*j(f). What is g(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749308894 and 830.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 41 - 9 = 0. Let r be 27 + -27 - -6*1. Calculate the lowest common multiple of g and 418\/r - 15\/9.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-210)\/(-60) - 1\/2. Let w(u) = -195*u + 150*u - 20 + 45*u**2 + 1 - 65*u**z - 26. Let g(x) = -3*x**3 + 2*x**2 - 2*x - 2. Determine 45*g(d) - 2*w(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 4408.\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012085290097 rounded to seven decimal places?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g. Let u(h) = 2*h - 4*h + g*h. Let x(s) = -2*s. Give x(u(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108115*f + 4536 = -108034*f for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 49 = -95 + 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*(-2 + 1))\/1. Find the common denominator of (47\/h)\/(14\/6) and 2*4\/(-40) - (-835)\/175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9791, -1, -5, 0 in increasing order.\nAnswer: -9791, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/g)\/g**(-14))\/((g\/g**19)\/g*g**(-2\/39)) assuming g is positive.\nAnswer: g**(421\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 191\/12 - (-4)\/(-16). Let w = 16 - k. Factor -1\/3*h**2 - w*h**3 + 0 + 0*h.\nAnswer: -h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 1. Let h be (-6)\/(-2) + 2 - 2. Let q = 10 - h. Let p(i) = -10*i**2 - 4. Let j(x) = q*o(x) - 2*p(x). Solve j(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -66740?\nAnswer: -66741.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 92*m + 620. Let x be n(-6). What is the third smallest value in x, -13, -55, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 274836260 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 23. List the prime factors of 1\/(w\/(-8))*-63.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 930 or 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4736*x + 62659 = -100012 - 98464 + 24335 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(112))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b - 59 = -707 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453884 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66508 and 17.32608?\nAnswer: 66490.67392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from qqpqqqkkoqoxqq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4079130 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.09 - -3.64. Let o = 0.45 + w. Let a be (-2)\/2 + 1\/(-1). Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u + 3576 - 10851 = 0 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + d**2 + 2*d**2 + 2*d**2 - 2*d**2 + (2*d - 3 + 3)*(-39*d + 21*d - 28*d) to the form r + p*d + t*d**2 and give t.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 580445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 7515470?\nAnswer: -7515468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 4*l + 4*k - 29 = l, -3*l = -150*k + 135 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h - 13. Does 11 divide f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 + 61*k + 286. Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 3 + sqrt(80) + -3)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118 + -2)\/(3\/2). Let b(x) = 113*x - 2. Let g be b(-1). Let w = o - g. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3645, -5, -2829 in ascending order.\nAnswer: -3645, -2829, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -64*p**2 - 2*p. Let i(s) = -s. What is i(b(k))?\nAnswer: 64*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.3. Let t = -167 + 169.07. Let o = t + -1.67. What is the second biggest value in u, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21452388?\nAnswer: 2, 3, 1787699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/4 (b) 165 (c) 62 (d) -0.165 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -104997.92 to the nearest ten.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 7891587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 q when three letters picked without replacement from {b: 2, q: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*m**2 - 96*m**2 - 104*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**3 + 0*m**4 - 13\/5*m**5 - 1\/2*m**2 - 10*m - 49. What is the second derivative of o(d) wrt d?\nAnswer: -156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139897, -139868, -139841, -139816, -139793?\nAnswer: -139772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:16 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, u: 1, q: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 1533 = 33*d. What is the second derivative of 107*a**3 - 28 + 89*a**3 + 113*a + 108*a - d*a wrt a?\nAnswer: 1176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, z: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 49605*w - 496114. Determine b(10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 8, 11, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from aaaaaasaaasasa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 791 * -0.1.\nAnswer: -79.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3)*(-147)\/(-252)*-6. Solve -7 = 5*s + 2*a, -s + 2*a = c*a + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 = 3*v, 0 = 3*h + 3*v + 1 + 5. Suppose h = k + 5*k - k. Suppose -8*t + 10*t - 18 = k. Solve w - 4*w = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 245*z**2 + 2144*z + 72. Calculate i(-9).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 103*v**3\/2 - 2629*v**2\/2 - 15125*v\/2.\nAnswer: v*(v - 125)*(v + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 11, -0.1, -122 in descending order.\nAnswer: 11, 5, 0, -0.1, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 866573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3049, -3034, -3009, -2974, -2929, -2874?\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209728 divided by -1104864?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*h - 49, h - 15 = -2*a + 6. Suppose -31*v + 32*v - h = 0. Solve -2*o - 3 = -v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -35 (b) 0.3 (c) -1\/45 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5*z + 1382*v**4*z + v**3*z**2 - 20*v**2*z - 71*v**2 - 2*z**2 wrt v?\nAnswer: 60*v**2*z + 33168*v*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 182.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -6*(sqrt(171) + -3 + sqrt(171)) + (sqrt(171) - (sqrt(171) + -1*sqrt(171) + sqrt(171) + 3)))**2*4 + 4.\nAnswer: -200188 + 11520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 115*q. Let f(z) = -3*z. What is v(f(g))?\nAnswer: -27*g**2 + 345*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 145*k**3 + 135*k**2 + 145*k - 140 = 0?\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 1, q: 1}. Give prob of picking 2 l and 1 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 5020189734.\nAnswer: -5020189739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -232111031?\nAnswer: -232111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1199 + 27\/9 + -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2570 + 2569.9. Which is smaller: -502 or w?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77688576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 5. Suppose 4*g + 4 = 0, -4*u + 3*g + 27 = -0*u. Let t(q) = -q**3 - 6*q**2 - 4*q + 3. Let n be t(-5). Let s = n + u. Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p - 6. Let x(b) = 45*b - 25. What is -25*l(c) + 6*x(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/136 and 105\/1496.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 13057497?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millennium in decades?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278586 + -0.109295.\nAnswer: -278586.109295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 + 150*g**2 + 147*g = 0.\nAnswer: -49, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22724 and 596804.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p = 43*p + 5*j + 6, 26 = 5*p - 3*j. Suppose -12 + 3 = p*f - z, 0 = -3*f + z - 8. What is the biggest value in f, -0.22, -2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 0*x - 1, 2*k - 2*x = -4*x + 3*x - 2*x - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 87 = -55. Suppose 0 = -a + 12 - y. Solve 0 = 5*c + a*m + 8, -2 + 0 = -3*c + m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/12 + 2*f**3\/3 + 6*f**2 + 7*f. Let o be v(-4). Solve -g - o = -5*b, -g + 4*g = -2*b + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1169365, 1169366, 1169365, 1169362?\n\"Answer: -a**2 + 4*a + 1169362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26101 < 28280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2 and -113\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -84*(11 + -2)\/(-1). Suppose -4*j = 8*j - r. What is the remainder when 313 is divided by j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -331*c**3 + 71*c**2 + 57. Let i(d) = -110*d**3 + 25*d**2 + 20. Determine -17*i(q) + 6*w(q).\nAnswer: -116*q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a + 8*a - 5 + 4*a. Let s(b) = -b + 2. Suppose -z + 2*j + 4 = -6, -5*z - 4*j = -50. Let f be 6\/(2 - 1\/2). What is f*k(m) + z*s(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 3597770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = x - 5*o - 161, 4*x - 4*o = 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126615.3 rounded to the nearest 100?\nAnswer: 126600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*o**4 - 325*o**3 - 2*o**2 - 3*o - 13331.\nAnswer: -1056*o - 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534993810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r**5 - 294*r**4 - 2817*r**3 - 2916*r**2 + 47952*r - 15552 = 0.\nAnswer: -12, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 + 2299*c\/7 + 575718\/7.\nAnswer: (c + 286)*(c + 2013)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3398 + -1604. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 659724?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 59. Let q be k(-13). Solve 56*r**2 - 83*r**2 + 4*r**4 - 24*r**3 - 20*r + 75*r**2 + 12 - q*r = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 + 5*k - 5. Let c(l) = -l**3. Let u(x) = -c(x) - t(x). Let g(w) = -w**3 - w + 1. What is 5*g(a) - u(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/2 + g**3\/6 + 71*g + 139. Let n(t) be the first derivative of v(t). Let y(a) = -3*a**2. Calculate n(y(k)).\nAnswer: 54*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/(-27) - (-1)\/(-3). Suppose v*y = -3*y + 2*w + 54, -30 = -2*y + 5*w. What is the highest common divisor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(174\/88 + -2). Let x = a - -20\/11. Suppose -3*v + 3*f - 1 = 4*f, 11 = -v - 3*f. Is x equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(605)*-1 + sqrt(605)) - (-4 + 0 + sqrt(10)\/sqrt(2)*-3).\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*1 - (sqrt(180) + sqrt(180)*2 - sqrt(180))**2.\nAnswer: -720 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/9*(-9)\/(-2). Suppose 2*f = -5*y + 463, -3*f - s*f = -5*y - 1140. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 2 g when four letters picked without replacement from gggaqsgghyshhyqqsgs?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 2. Let w be p(2). What is the third derivative of 0*j**w - 3*j**2 + 0*j**2 - j**4 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 70 + 40 = -100 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -188688.\nAnswer: -1\/94344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(24)\/(sqrt(48)\/sqrt(4)))**2 + 1*(sqrt(8)\/sqrt(4))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -522041\/24 - -21758. Find the common denominator of 71\/316 and z.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*w - 18 = 4*w, -4*j - 24 = 4*w. Which is the nearest to 1? (a) 0.8 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639982035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3827120 or 6.8?\nAnswer: -3827120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -5*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 209579801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 12 = -3*a. Let c(u) = 2*u**3 + u. Let w be c(1). Solve -4*y + i + 22 = 3*i, -3*y = -a*i - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 274*y + 351. Calculate h(54).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4 - 8. Suppose 5*y - s*y = 66. What is the remainder when 42 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72273 (base 12) to base 16.\nAnswer: -245f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (4\/40)\/(10\/20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 396. Let p(a) = 8*a - 1121. Let o(m) = 6*p(m) + 17*s(m). Let x(t) = 1. Give o(h) - 2*x(h).\nAnswer: -3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262*y**2 - 391*y**2 + 385*y**2)*(73*y - 73*y - 2*y**3).\nAnswer: -512*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 - -314. Calculate the greatest common factor of i and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 - 1. Let w be (-4)\/8*(-1 + 5). Let i = w + 3. Let q(g) = -16*g**3 - 50*g**2 - 26*g - 2. Let c(d) = i*q(d) + 2*s(d). Factor c(f).\nAnswer: -2*(f + 2)*(3*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*n + 2*n - k, 0 = n - 3*k - 7. Let r be 82\/21 + (-68)\/(-714). Solve 0*a - r*d + n = 5*a, -3*d + 3 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -35594340\nAnswer: -35594345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:45 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 757*p**2 + 91004*p - 1653952.\nAnswer: (p - 16)*(p + 172)*(p + 601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 4. Let q be v(2). What is the second biggest value in 1, 3, -4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 41 + -15 + -22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4)*6\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 1843 + 3708 - 4*k - 12*k + 16*k - 1865.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 2, n: 1, m: 1, f: 3, p: 4}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 19154 and 19154 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 7792?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360 is divided by 602.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 1058*m + 44 + 46*m**2 + 2\/3*m**3. Factor k(c).\nAnswer: 2*(c + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let k(a) = -1820291*a. Give k(j(p)).\nAnswer: -1820291*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 74 - 172*y - 2 + 57*y + 107*y. What is x(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/60 + n**4\/24 + 4*n + 4. Let f(u) be the first derivative of h(u). Find l such that f(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/300 - 2*i**3\/15 + 8*i**2. What is n in w(n) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12840*b**3 - 6418*b**3 - 6415*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -86. What is the fourth biggest value in 0.1, -2, a, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -11. Let c(t) = 2*t + 5. Let q(y) = 3*y + 6. Let r(s) = 7*c(s) - 6*q(s). Let n be r(p). Solve -4*b + 3 = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 3*k + 2. Let l(h) = -2*h**2 + 5*h - 3. Let v(g) = 8*i(g) + 5*l(g). Let w be v(-1). Is (-1 - w)*1*31 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.1764307 months?\nAnswer: 0.0181369225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 18644.96885.\nAnswer: -18635.96885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*1)\/(6*sqrt(18)).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918576 is divided by 149?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*r - 26 = -0*r, -r - 2 = -c. Let h = 36 - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-4) - (-1)\/(-4). Let l be 2\/(-8) - 12\/16. Let u = -0.2 + -0.3. Which is the nearest to l? (a) s (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (-8 - -4))\/(4 - 1). Suppose -8 = 2*g, -s*g + 2 = 4*h - 3*h. Solve 10 = -l + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.59611 years to centuries.\nAnswer: 0.7059611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4068055.8089 + -6.\nAnswer: 4068049.8089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40999 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 135*h**2 - 144*h + 1061. Calculate q(136).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 778, 777, 776, 775, 774?\n\"Answer: -m + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 72, 5*t + 47*l = 44*l + 51. What is the remainder when (2\/4)\/(2\/1436) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*j + 4*j - 35, 0 = -3*j - 2*l + 72. Suppose 5*t - s - j = -3*s, 8 = -2*s. Suppose t = v + v, v = -4*p + 107. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 33\/9)*-3. Solve 10 + 0 = -i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 18*v - 15. Let n be c(-10). Suppose n*m + 17 + 0 = 3*b, 0 = b - m - 5. Solve -3*u = 3*w + 6, 2*w = -5*u + 3 - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 6*c**2 - 37 + 4*c**4 - 6*c**4 - c**3 in the form v*c**4 + s*c**2 + a*c + i + w*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1027 = 167. Let b be (-51)\/153 - (2 - (-15045)\/(-18)). Let j = x + b. Calculate the common denominator of j and 12\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 0*s**4 + 105*s**2 - 2*s**3 + s**4 - 24 - 106*s**2 to the form c*s**4 + o*s + d*s**2 + v + z*s**3 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3*(-1)\/7. Let t = -1519 + 1522. Is t at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/120 + 5*o**4\/3 - 400*o**3\/3 - 9*o**2 - o. Factor x(s).\nAnswer: -(s - 40)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 - (-35750 + (9 - 17)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13666 (base 8) to base 2.\nAnswer: -1011110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6639931404 rounded to 4 dps?\nAnswer: -2.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.1 - -30.2. Let w = -0.3 - -0.4. Let y = w - f. What is the third smallest value in 6, y, -3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h. What is k(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2. Let n(q) = q + 5. Let s(x) = 2*n(x) - 5*w(x). Let m(g) = -3*g - 4*g + 5*g. Calculate m(s(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -135599*o. Let u(f) = -103*f**2. Calculate u(t(i)).\nAnswer: -1893870146503*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 5*u, -u - 8*h = -7*h - 11. Suppose 2*r = -2*f - 4, f + r = u*f - 8. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose 2*d = -2*b + 14, 14 = 3*b + 2*b - 2*d. Suppose 0 = -b*q + 4 + 4. Solve 5 = -s*r + r - 2*n, -q*n = -4*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 27*z + 8*z. Let x be g(1). Let c be (-3)\/6*0\/(-5). Solve c = -3*b - 4*t + 6*t - 20, -5*t = -3*b - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1510 and 97412.\nAnswer: 73546060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -159037\/19 at most -8371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2\/(-18))*2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 23*h = 18*s + 12*h - 1 + 1, -5*s + 3*h = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-160)*-8*(-29)\/((-14210)\/(-112)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6*c - 10 = 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07293 - 0.17293. What is the third smallest value in 4, -0.21, q, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24332, -38745, -43242, -37823, -22488, 2763, 37930?\n\"Answer: 4958*k**2 - 29287*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8 = g - 4*f, -2*g - 2*f - 18 = 0. Let y = g - -16. Suppose -y*z + 6 = 2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 2361*f**2 + 9480*f - 9492.\nAnswer: -3*(f - 2)**2*(f + 791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6489 is divided by 591?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -31. What is the smallest common multiple of (4\/p)\/((-6)\/27) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 22?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6 (base 12) in base 13?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:47 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1209 and 12183.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p - 53. Let r be t(-10). Solve -4*u + r - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let r be (-9)\/(-36) + 1\/u. Let v = 11.16 - 6.16. Which is the nearest to 0? (a) r (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from yydyhhidezd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -240*p - 707. Is c(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*y + 58336, 87*y - o = 90*y - 43771. What are the prime factors of y?\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(648)*-2 - sqrt(18) - sqrt(18)) + sqrt(18))\/(-5*sqrt(36)\/sqrt(4)) + 5)**2.\nAnswer: 26*sqrt(2) + 963\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66196*c**4 + 113*c**3 + 671531*c**2 + 326 wrt c.\nAnswer: -1588704*c + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1 + (-1 + 0 + 3)*(1 + 1 - 4))*(2*w**2 + 27*w**4 + 5492 - 5492).\nAnswer: -216*w**4 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8219538 times 3?\nAnswer: -17.4658614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b**3 + 0 + 9*b**3 + 4 + 20*b**3 with respect to b.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68422?\nAnswer: 2, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -3 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-8))\/((-5)\/(-240)*6). What is the greatest common factor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -910891, -910897, -910915, -910951, -911011, -911101, -911227, -911395?\nAnswer: -911611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56118 (base 9) in base 2?\nAnswer: -1001000110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k**3 - 8*k**2 - 8*k + 8. Let i(x) = -21*x**2 - 273*x + 8. Let s be i(-13). Let v(t) = -4*t**3 + 3*t**2 + 3*t - 3. Calculate s*v(r) + 3*j(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 + 0*s**2)*((0*s**3 + s**3 - 2*s**3)*(-1 - 2 + 1) - 16 - 7*s**3 + 16).\nAnswer: 5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120 (base 3) to base 12.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 5*l)*(3*l**4 + 0*l**4 - 5*l**4) + (5 - 3*l - 5)*(-8 - 2*l**2 - 818*l**4 + 406*l**4 + 411*l**4).\nAnswer: -7*l**5 + 6*l**3 + 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31044 + -60267\/2. Let r = 945 - t. Find the common denominator of r and 145\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(14\/(-105)) + (-51527)\/(-10319). Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32387345, 64774686, 97162027, 129549368, 161936709, 194324050?\n\"Answer: 32387341*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 103105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 1 in descending order.\nAnswer: 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42420487861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1024*f**5\/7 + 665216*f**4 - 5296926884*f**3\/7 + 7276382188*f**2\/7 - 2170105836*f\/7 + 185995044\/7 = 0.\nAnswer: 3\/16, 1, 2273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -9. What is the remainder when 67 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 smaller than -14112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6067869 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(20\/(-3)))\/(4\/16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56218953?\nAnswer: 3, 7, 2677093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {d: 1, o: 2, f: 1, j: 4, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) - 1*sqrt(1573) - (sqrt(52)\/sqrt(4) + 5)) + 1)**2.\nAnswer: 88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 146 = 8*m + 38. Let w(u) = u**2 - 4*u - 3. Let f be w(-2). Suppose -m*n + f*n - 30540 = 0. Round n to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9809753*i**6 - 463176*i**2 - i - 2 wrt i.\nAnswer: 1177170360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 7*l**2 + 6*l + 5. Let n be v(-4). Is 87\/(-27) - n - 632\/(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o + 4*o + (-3 + 2 + 2)*(2 - 1 - 3)*(5*o - 1034 + 1034).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.69 - 5.69. Let l = 3 + -2.7. Put 5, h, l in descending order.\nAnswer: 5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -176, -347, -586, -893, -1268?\n\"Answer: -34*s**2 - s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 536 + -535. Let j(s) = -7*s**3 + s**2. Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w + 16*w - 61*w + 11*w + 21*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*w**2 + 12790*w - 154*w**2 - 12790*w + (3*w**2 + w**2 - 5*w**2)*(-5 + 2 + 2) to the form g*w**2 + v*w + z and give g.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/4)\/(12\/80). Suppose -4*v - 5*d + 479 = 0, 4*d - 31 = p*v - 640. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -604*b**2 + 598*b**2 + 0*b - 2*b to l*b + g*b**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12707234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000038572894 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*r = -40378, 16461 = 2*g - 2*r - 3727. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r + 497 = 0, 169 + 320 = 5*f - 3*r. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*v + 89, 21*v = -b - 4*b + 25. Let j be (6\/9)\/((-4)\/(-9)). Factor -45*g**4 - 3240*g**2 - 540*g**3 - j*g**v - 9720*g - 11664.\nAnswer: -3*(g + 6)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 0.548, 12\/53, -1\/4?\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 - 4*j**2 - 9*j. Solve t(d) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477c5 (base 13) to base 16.\nAnswer: -1ff97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orzj when four letters picked without replacement from {z: 5, e: 1, r: 1, o: 3, j: 2}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x = 190 - 1886. Solve 27*g = x*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 19 = 0. Let q = -23 + w. Suppose -5*v - 3 = 3*m, 0*m - 24 = 5*m + 2*v. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159562 - 65289. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 16*a**2 - 12*a + 52. Let i be x(-15). Let q(v) = -v**3 + 7*v**2 - 4. Determine q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*b**2*t**4 - 2*b**2*t**2 + 207*b**2 - 2*t with respect to t.\nAnswer: 24*b**2*t**3 - 4*b**2*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*t*t**2)\/(t**(-1\/4)\/t)**32*(t**0)**(-4\/25)*t**(-1)\/t**(-3) assuming t is positive.\nAnswer: t**(269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3279)\/((24\/(-8))\/(2 + 0))?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 + 735\/4. Which is the third biggest value? (a) -1\/5 (b) d (c) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -226762*s + 70158.\nAnswer: -226762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168822919?\nAnswer: 47, 3591977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 2*q + 2. Is 7 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48859 - 33423. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -38*j - 1. Let x be l(-2). Suppose -5*c - 15 = -x. Suppose -8*p + c*p = 96. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 18 - 0. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(2\/2*(-4)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5069, -5079, -5109, -5171, -5277, -5439?\nAnswer: -5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:59 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 51. Let a = 31 - n. Suppose o + 5 + 63 = 5*b, o = -a. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:30 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9\/i**(4\/5))\/(((i\/(i**(-2\/7)\/i))\/i)\/i)**(31\/3) assuming i is positive.\nAnswer: i**(551\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from uutuuutuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 19*u**2 - u + 13. Calculate a(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41852?\nAnswer: 2, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxppxxxppxxpxxxxpppi. Give prob of sequence ip.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4802 (base 9) in base 2?\nAnswer: -110111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 + 113 + 26586\/738?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/12 + y**3\/2 - y**2 - 2*y. Let a be v(2). Let c(i) = i**3 + 13. List the prime factors of c(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4209\/13, -91, 5, -0.4?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + 3. Suppose 13*c = 614 - 679. Sort o, 3, c in ascending order.\nAnswer: c, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -215111?\nAnswer: 215101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 574787289 to the power of 1\/2, to the nearest integer?\nAnswer: 23975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 94, 168, 272, 418, 618, 884, 1228?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 17, -3 in increasing order.\nAnswer: -5, -4, -3, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + -119. Suppose 3*t + p = 2*t - 2*d, 5*t - 14 = -2*d. Suppose -5*z = v - 6*v + 85, -12 = t*z. Calculate the remainder when 97 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1212, 1228, 1290, 1422, 1648, 1992?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44709086 is divided by 429.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 28. Suppose -4*k + 2*z + 0 + 16 = d, -2*k + 5*z = 8. Solve 5 = k*j - j, 0 = -3*p - 4*j + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**10\/75600 - w**9\/6048 - w**8\/1440 - w**7\/840 + 2*w**5\/5 - 22*w**2. Let v(y) be the third derivative of d(y). Factor v(k).\nAnswer: -2*k*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = 39*a - 26128. What is the remainder when a is divided by 125?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*s*v + 100*o**3*v + 15*o**2*s*v + 2*s*v + 98*v with respect to s.\nAnswer: -o**3*v + 15*o**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43091658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 87?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4833*h**2 + 2*h - 28. Let i(g) = -4834*g**2 + 3*g - 42. Calculate 2*i(f) - 3*t(f).\nAnswer: 4831*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(20) - (sqrt(20) + 2))*4 + -4 + (4*(sqrt(30) + sqrt(1080)))\/sqrt(6))**2.\nAnswer: -560*sqrt(5) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**2 + 1\/2*k + 0.\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(1\/(-1 - 0)). Let s(n) = 0*n**3 - 2*n**3 - 2*n**2 - n + u + 4*n. What are the prime factors of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 - 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1539)*2 - sqrt(1539)) + 1 - (sqrt(1539) + 2*sqrt(1539) + -4)) + -5)*1*5)**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - a488c?\nAnswer: -a4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 1 - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/309312 and -143\/108.\nAnswer: 309312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(539) + 0 + (sqrt(539) + sqrt(539)*2*3)*-1)**2*-2*4.\nAnswer: -155520 - 4032*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 135*r + 1504*r + 0.\nAnswer: 1639*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 43 - 68. Solve -4 = 2*f - 5*f - 2*x, -2 = -q*f - x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239909\/22 + 10902. Let u be (-5 + 3)*(2 + 1). Find the common denominator of s and (-2)\/u - 139\/(-18).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5379 = -54*o + 87*o. What is the remainder when o is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-748)\/(-204))\/(2\/6). Let p(j) = t + 2*j - 26 + 18 + 0*j. What is p(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-8)\/6 - 1. Let r = 40 - 48. What is the third smallest value in r, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 15*o. Let c(p) = -3*p**2 + 11*p. Let v(f) = -4*f**2 + 14*f. Let i(k) = -5*c(k) + 4*v(k). Give d(w) + 15*i(w).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170758169 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 309919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**5\/30 - h**4\/6 + h**3\/6 + h**2\/3 - 2*h\/3 - 343. Find n, given that c(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679794m in kilometers?\nAnswer: 0.000679794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2207 - -2234. Let n(l) = -l + 19. Give n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 7 = -x - 4, 0 = -3*l + 2*x - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/549 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 + 22 + 10*w + 0*w**2 + 11*w**2 - 10. Let f be s(-9). Factor 11*l**2 + 18 - l**f + 3*l**3 - 30*l - 4*l**3 + 3*l**2.\nAnswer: -2*(l - 3)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:39 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:17 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 273 = -171 - 164 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/32*(-6)\/(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 756*k**2 - 23*k - 87. Is f(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 2*s**3 + 9 + 5*s - 29 + 15 + 5*s**2.\nAnswer: -5*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15659238 divided by 3?\nAnswer: 5219746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o = -85*o. Let h = -19 - -27. Which is the biggest value? (a) 0.4 (b) h (c) 1\/9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 9*c - 8. Let b(o) = -12528492*o**2 - c - o + 3969043*o**2 - 10140550*o**2. Let s be b(-1). Round s to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 18. Let m be q(-3). Calculate the remainder when 52 is divided by (2 + (-111)\/m)\/((-7)\/35).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 + 122508*c**4\/7 - 1870747658*c**3\/7 - 161770878048*c**2\/7 - 317929023080*c\/7 - 22575573600 = 0. Calculate c.\nAnswer: -84, -1, 30670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4123, -7563, -11041, -14557, -18111, -21703, -25333?\nAnswer: -29001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-35)*(x*x**(1\/5)\/x*x*x*x)\/x**4 assuming x is positive.\nAnswer: x**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = 4 - 48. Sort 0, x, -5, -12 in descending order.\nAnswer: x, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.597133g to tonnes.\nAnswer: 0.000003597133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -119*u + 117*u + 40, -4*u - 10 = -c. Let s be 0 - -1*(2 + -1). Let n = s - -1. Calculate the highest common factor of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 4*f + 133, 0 = -180*y + 179*y + 5*f + 14 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485174967 is divided by 2205?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 138, 122, 92, 42, -34, -142?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37445773*s**4 + s**3 - 34257276*s.\nAnswer: 449349276*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 59. Which is the nearest to 3? (a) m (b) 2\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/(42\/(-15))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express w + w + 0*w + 223*w**2 - 8 + 19 - 228*w**2 as p*w + n + x*w**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qiiiiiiqiqiiifi.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-84)*(-14)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -456339\/5 at least as big as -91267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllzlllllzll. What is prob of sequence llzl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 363? (a) 194 (b) -134 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.38 - -0.38. Let k = 13.00000318 + j. What is k rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 0*p**2 - 717 - 4*p**2 + 717 - 6*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3\/3 + 7*j**2\/2 - 3*j - 3. Let s be g(5). Suppose 5*o = 4*d + 3, -s*o + 3*o = -2*d. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 128428065?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 2. Let r = 8 - 11. What is c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + (19 - 18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = y - x - 4, -3*y + 17 = 2*x. Suppose -4*c + y*c - 15 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.51? (a) 5 (b) 60\/23 (c) 9 (d) 0.3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2684\/(-88)*220\/(-157685).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9242, -9260, -9296, -9356, -9446, -9572?\nAnswer: -9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 46. Determine w(-17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7 + 205620*o + 205623*o - 411247*o. Let q(b) = 11*b - 20. Suppose 4*v = -v - 40. What is v*n(d) - 3*q(d)?\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 4)*(-4*j**4 - 44*j**4 + 2*j**3 - 19*j**4) in the form t*j**4 + m + w*j**3 + q*j + z*j**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 170.42 (b) 5\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**3 - 4*z**2 - 7*z + 4. Let u(m) = -7*m**3 - 3*m**2 - 7*m + 3. Let n(d) = 4*u(d) - 3*y(d). Find the second derivative of n(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 12*z**2 + z + 16. Let w be c(-12). Suppose 2*t = 3*t - 2. Suppose -23 + 0 = -b - 4*p, 0 = t*b + w*p - 38. Solve y - b = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -0.7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*z - 49 + 33, -4 = 5*z - 11*o + 40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55822637*x**5 - 2*x**2 + 319129*x - 12 wrt x.\nAnswer: 3349358220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184391990 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 + 9*u - 8. Let z(m) be the first derivative of h(m). Differentiate z(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.342s?\nAnswer: 9342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13637.769 months in centuries?\nAnswer: 11.3648075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -0.1\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-428)\/(-340) + 32\/(-544)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -37 + (-76 - -86)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let d(i) = -41*i**2 + 1. Let j be d(-1). Let t be (-1)\/(-4) - 750\/j. Let z(o) = t*o - 7*o + 6*o. Give n(z(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93117674821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -32 - (3 + -16)) + -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l**4 + 4*l**3 + 447*l**2 - 2 wrt l.\nAnswer: -144*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 1120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 305 - 207 - 186 - (-1 + 2 + 0 - 2).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*l + 60*l - 30. Solve -20 + l = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*i - 47*i + 23*i)*(-3*i**2 - 3*i**2 + 5*i**2)*(0*i + i + 0*i).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Put h, -19, 1 in descending order.\nAnswer: h, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 2505376?\nAnswer: 7516128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 1312 = 190 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 0, -3099 = -3*t + 2*b. Suppose 3*w - 1287 = -3*r, -4*r + 673 + t = 2*w. Let y = r - 217. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2))**(-5\/2)*n**2\/(n\/(n*n**(-2))*n) assuming n is positive.\nAnswer: n**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 5*n**2 + 7*n - 5. Let r be ((-4)\/(-5))\/(((-8)\/2)\/(-14 + 4)). What is a(r)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 - 0.9. Let o = 0.108 - 0.0608. Let t = g + o. Round t to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a factor of 2749492700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*f**6 + 2*f**5 + 288*f**4 + 99*f**2 - 324?\nAnswer: 3000*f**3 + 120*f**2 + 6912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 18 + 15 = 0. Solve -3*o**2 - 23*o**3 - 12 - 12*o**2 - 23*o**j + 43*o**3 - 24*o = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 1. Suppose 1 = -4*i - 3*d - 1, -4*i + 5*d + 14 = 0. Let b be g(i). Suppose 4*o + 2*c - 20 = 0, 2*o + 1 - 3 = 3*c. Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36918 minus -0.282?\nAnswer: -36917.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 5 (c) 3 (d) -3\/8 (e) 671 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -467, -678, -873, -1046?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 112 = j, 0 = 43*m - 44*m + j + 126. Calculate the lowest common multiple of 2618 and m.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 328*z**3 + 644*z**2 + 320*z.\nAnswer: 4*z*(z + 1)**2*(z + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 137*h + 7. Let m(c) = -136*c - 8. Let s(n) = 2*m(n) + 3*o(n). Let b be s(6). Suppose -5*a + 3889 = b. Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(17)) - (sqrt(51)\/sqrt(3) + 2).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*x - 325, 2*x + s + 480 = -x. Let i = -1769\/11 - x. Factor -4\/11*f**2 + 0 - i*f**4 + 0*f - 6\/11*f**3.\nAnswer: -2*f**2*(f + 1)*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -1096, -1097, -1098, -1099, -1100?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1645018450, -3290036902, -4935055354, -6580073806, -8225092258, -9870110710?\n\"Answer: -1645018452*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from wxrwprpswrxsex.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) 166 (c) -0.4 (d) 85 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.651065 litres?\nAnswer: 651.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 236572451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*g - 12396 = 2628*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -335695*u + 819. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 4*s - 8*s. Suppose 5*n - 30 + 5 = s. Solve n = 2*w - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.616 + 0.616. Let p = 3\/7 + 0. What is the nearest to -1 in c, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + r**3 + 5*r**3 - r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*z**2 - 2 + z - 346*z**2 - z as h*z + y + u*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 189*r**2 - 100*r**2 + 3*r**3 + 0 - 1 - 93*r**2 + 6*r**3. Let c(m) = 9*m**3 - 3*m**2. Determine 4*c(i) - 3*g(i).\nAnswer: 9*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16834669 is divided by 344?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-378) - ((-464)\/21 - -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 8 = -17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m + 5*m**3 - 269*m - 53*m + 461*m**3.\nAnswer: 466*m**3 - 262*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3163 and 284847128.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*u + 18, -u + 13 = 5*t + 1. Let m = 6 - t. Let o be ((m - 1)*-1)\/1. Which is the closest to o? (a) 2\/5 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 8, t: 7, d: 5}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 37.9. Let v = g - -1.82. Which is smaller: v or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 915170*-0.5\nAnswer: -457585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. What is the smallest value in -4, v, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 11 - 1. Suppose -l - 70 = -h*l. Let d be (-16)\/(-6)*(-21)\/l. Let c(i) = i**2 + 3*i + 1. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -537, -933, -1383, -1887, -2445, -3057?\nAnswer: -3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/20 + 3*y**2\/10 - 2*y\/5 + 6. Factor b(p).\nAnswer: -(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/36)*v*v)\/v*v)**(20\/9)\/(v**(9\/5)\/(((v*v*v\/v**(-2\/11))\/v)\/v)) assuming v is positive.\nAnswer: v**(17321\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.38067*4\nAnswer: -1.52268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3*p**2 + 10*l**3*p*v - 7*l**3*v + 11*l*p**2*v - 9*p**2 + 6*p*v - 3 wrt p.\nAnswer: -8*l**3 + 22*l*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830556 is divided by 415269?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a + 4. Is -3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 + -459. Let u be 15\/(-10)*(-2)\/a. Let p = u + 191\/644. Sort p, -3, 4 in decreasing order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 31*q - 12. Determine r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179.927 + -180. Let i = u + -0.017. Let m = 1 - 0. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, 14 in increasing order.\nAnswer: 5, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -19, -1\/4, 5, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 55. Let o be 2\/(-7) - (-15)\/21*f. Let q(n) = 2*n**2 - 6*n - 1. List the prime factors of q(o).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.262709 to 3 decimal places.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, -35.9, 50, 6, 0.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*((a**(-20)\/a)\/a*a)\/a)\/a)\/(a\/a**(-1\/3)*a))**16 assuming a is positive.\nAnswer: a**(-1168\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772945947?\nAnswer: 3, 37, 2321159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 192*n + 3. Let c be w(1). What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -394 + 567. What is the remainder when n is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 18 = -0*g. Let m be g\/(-2)*(-9)\/(-27). Let d be (-22)\/(-10) - 7\/((-21)\/(-9)). What is the third smallest value in d, m, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 + 12*j**2 + 5886*j + 11743. Determine r(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -694 + 692. Which is the biggest value? (a) -0.2 (b) x (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let i = -1.1 - y. Let d = i - -0.2. Put -0.2, -1\/6, d in descending order.\nAnswer: d, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 778*s**5 - 129 - 5*s + 13253*s**2 - 13253*s**2 + 7*s wrt s?\nAnswer: 15560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -49, 2\/79, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 48*k - 44*k = -26, -5 = -5*f + 3*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-31 + 31 - 6*p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.11 and -1553971?\nAnswer: -1724907.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 100 = 4*t, 32*h = -4*t + 33*h - 84. Let k(c) = -c**2 - 21*c + 25. Determine k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 34*a - 289. Let n be s(17). Let w(b) be the third derivative of n*b - 1\/2*b**3 - 10*b**2 + 0 - 1\/6*b**4 - 1\/60*b**6 - 1\/20*b**5. Give w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 = -16, -2*c = d + 3. Sort -3, 2, d, -14, -6 in descending order.\nAnswer: 2, -3, d, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r + 9. Let b be q(-7). Suppose -2*s - 3 = -b. What is the biggest value in 2, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 3*w**4 - 57816*w**3 - 10738509*w wrt w?\nAnswer: 40*w**3 - 36*w**2 - 346896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -234\/5 and -47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5864 + 0.5.\nAnswer: -4.0864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9081.765 to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 23808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 50, 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 27*p + 2 - 21*p in the form m + d*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238047000 rounded to the nearest one million?\nAnswer: -1238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 42 - 6. What is the common denominator of (-105)\/o + (-1)\/(-3) and 3\/7 + 1731\/(-168)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 + 6*l**2 - 23*l**2 - 11*l**2 - 52*l**2.\nAnswer: -107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, g: 2, w: 4, z: 1}. Give prob of picking 2 x and 1 g.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = 2*j - 5*j, -5*k - j + 5 = 0. Solve -3 = -p - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 u, and 1 z when four letters picked without replacement from {u: 3, z: 3, t: 7}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841210742?\nAnswer: 2, 3, 7, 5021, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006565 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 0*l**2 - 3*l**2 + (-4 + 3 + 2)*(3*l**2 + l**2 - 2*l**2) - 4*l**2 + 4*l**2 + 5*l**2 + (-9 + 4 + 10)*(-2*l**2 + 2*l**2 + l**2).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**6\/120 - y**5\/12 - y**4\/8 - y**3\/2 + 2*y**2 - 3*y. Let w(g) be the first derivative of d(g). Determine w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 1523 + 3*m**2 - 1523. Let k(y) = -15*y**2 + 5*y + 1. Suppose 12*q + 628 - 760 = 0. Determine q*h(l) + 2*k(l).\nAnswer: 3*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r + 71 - 71 - r + 2*r + 0*r + (2 - 1 + 0)*(-3*r - 2*r + 3*r))*(-4 + 4 + r).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3.2. Let h = 0 - r. Suppose -5*y - 18 = -2*i, 3*y - 3 + 1 = -2*i. Which is the third biggest value? (a) h (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -11 - 4. Suppose -1 - 2 = -l*t - v, -3 = -5*t - v. Let d = t + 32. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 144, 340, 614, 990, 1492, 2144, 2970?\n\"Answer: 4*j**3 + 15*j**2 + 123*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 463757 and 34?\nAnswer: 15767738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.1. Let b = -0.36 + r. What is b rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(-38) - (0 + -1). Let m(o) = 10*o - 1. Let a be m(0). Put a, y, -2, 34 in decreasing order.\nAnswer: 34, y, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-24)\/8)\/(-9)). Let c = -5 + 10. Solve -p*j = 2*g - 9, -3 = c*j + g - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/(-4) - (-5)\/(-20). Let o = 6 + y. Suppose 15 + o = a. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**8\/30240 + h**6\/1080 + h**5\/15 + h**2. Let y(i) be the third derivative of l(i). Determine q so that y(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -34*y + 137. Let l be p(4). Calculate the smallest common multiple of 18 and 5004\/695 - (l + 8\/(-10)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.8143 - 39?\nAnswer: 29.8143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*z - 2*t, -5*z - 2 = -3*t - 73. Suppose 0 = 5*m - 5*n, m + 5 = -n + 13. Suppose 2*u - m*u = -10. Calculate the remainder when z is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148 or 141?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from fffsssfssfff?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.10982 * 14\nAnswer: -1.53748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 4) + 5*1. Suppose s = l*s - 80. Suppose -2*h - d = -11 - 2, 4*d = 2*h + 12. Solve 0 = -5*p - 10, -2*p = -3*q - h*p - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 653*h - 15943. Give y(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Suppose -8*v = -2*v + 12. Let u = i + v. Which is greater: -7\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p = -86 + 21 - 127 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 7609 in increasing order.\nAnswer: -14, 4, 7609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0.06. Is -0.09 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63786 or -271?\nAnswer: 63786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -100, -2, 2, -2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550681249?\nAnswer: 13, 947, 125959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10315180 (base 9) in base 11?\nAnswer: 2895434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124630779 rounded to 3 dps?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 56 - 103 - 10324*b - 33 + 10325*b to the form v*b**2 + i*b + l and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -12095*l**2\/2 + 472*l + 86. Let i(s) = -128*s + 5. Let a(j) = -472*i(j) + 5*n(j). Let r(b) = 2*b**2. Calculate a(r(g)).\nAnswer: -118*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8835512 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.5, 0.3, 0.25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 + 16*m - 3. Let g be x(2). Which is the third smallest value? (a) g (b) 4 (c) 3 (d) 1 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -230, 2, 196 in decreasing order.\nAnswer: 196, 2, -3, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1406396\/8 + 15\/6. Round o to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377008 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b - b)*(-b + 2*b - 3*b) + 20*b**2 + 13*b**2 - 14*b**2.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*d + 13 = 0, 1 = -2*p - 5*d - 3. Let a = 6 - p. Let f be (5*(-5)\/10)\/((-3)\/6). Solve -5*g - 4*l - 34 = 6, -f*g + a*l = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 10*j**2 + 10*j + 15. Let l be (15\/(-6))\/(2\/(-4)). Let r(y) = y + 6. Let c be r(l). Calculate s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/23)*k**(-6))\/((k**(-1\/5)\/k)\/(k\/(k*k**7*k*k)*k*k)) assuming k is positive.\nAnswer: k**(-1252\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004764 to seven dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*y**2 + 322*y**2 + 818*y**6 + 180*y**2 - y**2 wrt y?\nAnswer: 98160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-38))\/j*j*j\/(j*j**37) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64 and 657.\nAnswer: 42048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 2*n + n - 14*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 143, -2\/15, 0, 7, 3, 22 in descending order.\nAnswer: 143, 22, 7, 3, 2, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.076 and 94888?\nAnswer: 94887.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 - 3*b**5 + 0*b**5)*(0 + 1 - 2) + 166*b**5 + 169*b**5 - 89*b**5 - 2*b**5 + 3*b**5 - 2*b**5.\nAnswer: 249*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8811924 a multiple of 1446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n**2 - n + 643. Let h(r) = -6*r**2 - r - 1. Calculate -4*h(d) + p(d).\nAnswer: -d**2 + 3*d + 647","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 38*g**3 + 878*g**2 + 118*g + 54. What is h(-23)?\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -318, -336, -350, -354, -342, -308, -246?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/((-26)\/(4732\/(-286)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*m**2 - 769*m + 87*m**2 + 771*m.\nAnswer: -96*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (84 - 8) + -26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13780 divided by -6890?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/70)\/((30\/(-36))\/(2325\/279)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 123?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 1.085.\nAnswer: 99.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3234942 divided by 539157.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*z - 71 = 0, 2*z + 35 = c + 2. Suppose 5*h + c = 58. What is b in -2\/3*b**2 + 1\/3*b**h + 0 + 1\/3*b = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401133155 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320274 (base 8) to base 7.\nAnswer: -623014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 - 107. Let d = 441 - 449. Let q = r + d. Sort q, 0, 1 in ascending order.\nAnswer: 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8049455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0589506 rounded to 3 decimal places?\nAnswer: 1.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 4*q + 63. Let z(g) = -4*g**2 - 3*g + 64. Give -2*w(k) + 3*z(k).\nAnswer: -2*k**2 - k + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - (-4 - -1))\/6. Which is smaller: 24 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*i + 5478 = 0, -4*w + i + 4256 = -132. Is 73 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2*6\/12. Suppose 3*j - 12 = -b - k*b, 3*j = 9. Solve -3*t + 2*t = 0, b*t - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 7\/2104, -47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1403*n + 5890 - 511*n - 5890 - 9168*n)*(-7*n + 0*n + 0*n).\nAnswer: 77574*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 744, 2937, 6604, 11757, 18408, 26569?\nAnswer: 36252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1276447333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -z - 3*z + 54, 0 = 4*z + n - 51. Suppose -287*i = -286*i - z. Calculate the lowest common multiple of 130 and i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*u - 241 + 239, -1 = -5*g - u. Let b(q) = q**3 + 3*q**2 - 2. Let i be b(-3). Sort g, -6, 5, i.\nAnswer: -6, i, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/7, 1\/4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*c**2 + 2*c**2 - 9*c**2)*(-3 + 3 + 6*c) to i*c**3 + l + j*c + v*c**2 and give i.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 189473\/(-99) - (-2)\/(-9). Let g = t + 1918. Calculate the common denominator of 49\/10 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1. Let c(x) = -2*x. Let i(s) = -c(s) + 4*t(s). What is i(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 3, o: 3, j: 5}. Give prob of picking 3 o.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 4 (c) -3 (d) -0.3 (e) 2 (f) -0.072 (g) -33144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from zsuusrrzzzsssryz?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1040, 1989, 2938, 3887, 4836?\n\"Answer: 949*o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77174 is divided by 25714?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 176966\nAnswer: -176934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*k + 181*k - 1386 = -5728 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*c + 4 - 37, 0 = -2*y + 2*c + 22. Let v(x) = -x**3 + 2*x**2 - x - 1. Let p(u) = 6*u**3 - 11*u**2 + 6*u + 6. Determine y*v(s) + 2*p(s).\nAnswer: s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -3, 5, 0.034, -1\/3?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose 2*c = -m + 146, 16*c = -5*m + 17*c + 686. Suppose h - m = -y*h. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29169336, -29169338, -29169340, -29169342?\nAnswer: -29169344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*b + 4, 5*b + 28 = 443*v - 441*v. What is the nearest to -2\/13 in -670, v, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let i(k) be the third derivative of 2929*k**4\/24 + 467*k**2 + 3*k. What is t(i(h))?\nAnswer: 8579041*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309 - -499. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -18*g**4 - 4189524*g**3 + 53069422*g**2 - 179227496*g + 182486976 = 0.\nAnswer: -232764, 7\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 296\/36192*10 - ((-5)\/(-58))\/(60\/48).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-30)*(-154)\/1232?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 24, 37, 44, 39, 16, -31, -108?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3 - 10762*a**2 + 2*a + 10762 = 0.\nAnswer: -5381, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13667 - -13687. Solve 12 = v - 4*r + m, -r + 1 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Let t be -4 + -3 + (-72)\/(-10). What is the nearest to -2\/3 in t, q, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.06894 nanometers in millimeters?\nAnswer: 0.00002606894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*o = -9072 + 272 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddlcdrvddcdrlldv. Give prob of picking 1 v, 2 c, and 1 r.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 90*g - 96*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9163.\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 36. Let c be g(7). Suppose -c*z - 2 = 14. Let t(b) = -b**2 + 7*b + 7. Let j be t(8). Sort z, 1, -3, j in increasing order.\nAnswer: -3, z, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**3 + 5*u**2 - 8*u - 7. What is the remainder when n(3) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2224 + -2175. What is the remainder when 1175 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/4 + (-1)\/4. Let r be 1 + 3 - (-42)\/s. Which is the nearest to r? (a) 1\/11 (b) 2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -48*o**5\/5 + 6504*o**4\/5 - 197811*o**3\/5 - 1551936*o**2\/5 - 738471*o\/5 - 90738\/5 = 0.\nAnswer: -6, -1\/4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6, -w - 2*w = 4*b + 3. Is -7 - (-644 - w\/(-1)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n**3 - 122*n**2 - 720*n + 68. Let q(w) = 18*w**3 - 120*w**2 - 718*w + 70. Let x(y) = -5*o(y) + 6*q(y). What is s in x(s) = 0?\nAnswer: -4, 1\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 4:07 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 5. Let n(j) be the first derivative of -j**2\/2 + 13. Let g(w) = -3*w - 8. Let d(v) = h*n(v) - g(v). What is the first derivative of d(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200 + -10?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u - 10 = 0. Solve -u*r - 2*i + 35 = -5*i, 3*r - i = 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Let l = -9 - -5. Let i = -0.2 + 0.1. What is the nearest to -1\/4 in c, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.45 + -2.50153. Let w = -6.95 + 8. Let o = p + w. What is o rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose -201 = -4*c + 151. Let v = 618\/7 - c. Put o, -2\/11, v in ascending order.\nAnswer: -2\/11, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1459.3 minus 1?\nAnswer: -1460.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6579622 and 51842.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*a**4 - 361*a + 210*a**4 - 108*a**4)*(-3*a - 3*a + 5*a).\nAnswer: -a**5 + 361*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 1, n: 1, e: 7, h: 7}. Give prob of picking 1 e and 1 h.\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/60 - k**4\/8 - k**3\/6 - k. Let n(u) be the second derivative of w(u). Differentiate n(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -13 (c) 2\/3 (d) -1\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21887\/8344 - -2\/1043. Which is the nearest to -1? (a) 3 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4138 - -5224. Calculate the highest common divisor of 24 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - w**2\/2 - 5*w + 2. Let j be m(5). What is the units digit of (-4 - j)\/(0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 16281.13 nanograms?\nAnswer: 0.00000001628113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/7)*o\/(o*o\/o**(-3\/2)) assuming o is positive.\nAnswer: o**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/80 + (-1056)\/(-20) + 1 + 1. Are 0.006 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 60, 129, 236, 387, 588?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52420654 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 41. Let v be (a\/(-10) + -1)*(-4)\/3. Let w(g) = 2*g + 9. Let r(h) = h + 4. Give v*w(s) + 5*r(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/3 + 276338*k**4\/3 - 9546027104*k**3\/3 + 47725437872*k**2\/3 - 76358268896*k\/3 + 38178581792\/3 = 0. What is k?\nAnswer: 1, 2, 69082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 51 = 9. What is the greatest common factor of t and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -536*z**2 - 431*z**6 - 899*z**6 + 784*z**2 - 1070*z**6 + 2199*z**2 wrt z?\nAnswer: -288000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, -0.09 in ascending order.\nAnswer: -0.1, -0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3938996 less than -26?\nAnswer: 3938970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o, 3*c + 2*c - o = 190. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/206 and 47\/186?\nAnswer: 19158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35784 and 42.\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-192)\/(-1296)*(-1)\/52*-23. Let b = r + -4\/39. Is -2 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 861 divide 7807673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -121*0.43181\nAnswer: -52.24901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0344 - 2.0344. What is the fourth smallest value in r, -1\/3, 2\/75, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/3)*m*m**6*m*m**(-15)\/(m\/m**(-19)) assuming m is positive.\nAnswer: m**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*z**2 + 5*z - 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5264662 divided by 404974.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 - -353b06?\nAnswer: 353a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.48 + -2.08. Let u = y - 1.4. Let i = -24 - -14. What is the smallest value in u, -1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w + 48. Suppose 0 = r - 5*z - 18, -r + w = -6*r - 2*z. Let i = r + 5. Solve -i*o + 16 = -6*o - t, -4*t - 4 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = -4*m. Let t be (m - (-31)\/(-4))\/((-4)\/96). Suppose 3*n - 3*f - t = 0, -5*f + 73 = 5*n - 147. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/2 + 52\/4. Let y(r) = r + 48. Calculate y(o).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307700 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81 + 12\/(-5 + 2) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -107*q**3 - 2*q**2 + 137*q + 549. What are the prime factors of b(-4)?\nAnswer: 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**8)**(-4\/21)\/((l**1)**(-2\/21)\/(l**(2\/5))**(-1\/3)) assuming l is positive.\nAnswer: l**(-164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**3\/2 - 10*c. Let k(y) = -y**2. Determine k(g(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjttttj. Give prob of sequence jtjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1118, 5, -1.\nAnswer: -1118, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 - 4. Let a be h(-7). Let l be 2\/a*2 - -5. Suppose l*s = -s + 10. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16659167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 14*l + 9. Calculate the remainder when 11 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*v + 2*v - 1527 = 0, 4*x + 2*v - 2036 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15*-227 + (-2)\/5. Calculate the greatest common divisor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 5*o - 5*o + (o + 0*o - 2*o)*(1 + 3 - 1) to the form n + v*o and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*q - 980 + 260. Solve 6*k + q = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:19 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(133)*-3)\/sqrt(7) + 2*(sqrt(304) + sqrt(304) + sqrt(304) + 1))**2.\nAnswer: 84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119709455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, p: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 17 - 23. Solve -4*t + 3*t = 4, -20 = r*c + 5*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 + j + 3. Let z(l) be the second derivative of -l**4\/6 - 13*l**3\/6 + 7*l**2\/2 + 36*l. Let m be z(-7). Determine o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 - 5*a - 2. Let n(q) = 3*q**2 + 5*q + 1. Let y(u) = 2*j(u) + 3*n(u). Let m = 84 + -13. Let x = -77 + m. What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*o = 2313*o + 132352 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 197256 - 196710 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 174125.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268253111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose -u + 398 = -4*o, 2*o + 67 + 135 = 2*u. Let v be (-40)\/o - 6\/27. What is the nearest to s in 0, v, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let j = -577.57 - -8.57. Let k = j + 563. Which is the smallest value? (a) k (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 45, 65, 81?\n\"Answer: -2*j**2 + 30*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 17 + 1 - 104*t + 8 - 20 to the form b + n*t and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 86 = 22. Suppose -15*p + 14*p = -756. What is the greatest common divisor of p and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 847?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8999*b = 9011*b - 48, -i + 14*b = 73 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 720998*o**2\/5 - 1441999*o\/5 - 144200.\nAnswer: (o - 721000)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let g be b(-3). Let u(h) = h**3 - 5*h**2 + 4*h - 5. Let n be u(g). Let a = n + 7. Calculate the lowest common multiple of a and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 15*p - 6*p)*(-28 + 28 - 3*p**4 - 69*p).\nAnswer: -54*p**5 - 1242*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from bbbbbbbbbbxbbbb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*a - 56 = 4*n, 1516*n = 1597*n - 3*a + 1134 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q - 6. Suppose 3*a = 2*x, 2*a + 8 = -4*x - 8. Let p(c) be the first derivative of c**3\/3 - c**2\/2 - c - 465. Calculate x*p(y) + m(y).\nAnswer: -2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040 divided by -690?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u**2 + u. Let f be p(-1). Let w be ((-120)\/(-2))\/((-6)\/(-4)). Let v = w - f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/((-51)\/(-170)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Let q = h - 0. Let k(g) = 14*g - 33. Let d be k(4). Solve -q*c = -d + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = -1. Let v be 7\/14*(6 + 0). Let q = 0.6 - 0.1. Which is the nearest to m? (a) -0.3 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 5. Let k(f) = 6*f - 6. Calculate 6*b(g) - 5*k(g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 1335 = 19*p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -157, -331, -555, -817?\n\"Answer: 2*h**3 - 43*h**2 + 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 80. Suppose -v*a + 5390 = 245. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let a(p) = 2*p - 1 + p - 3*p - 8*p**2 - p + 16*p**2. Give a(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2.37. Let t = 15.07 + h. Is t at most 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 10 + -1 + (2 - 38 - -49).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 8, -2*r + 710 = 2*j + 730 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272994 take away 717323?\nAnswer: -1990317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*y - 2*y + 11, -1 = -3*o - 5*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 8 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/12 - -3)\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 - 5*v**2 + 2*v + 4. Let b(d) = -3 + 3*d**2 - 3*d**3 - 3*d + 5*d**2 - d**2 - 2*d**2. Let q(o) = -5*b(o) - 4*i(o). Calculate q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -92*h**2 - 10*h - 20*h - 10*h - 14*h + 22 + 32*h. Let r(z) = -13*z**2 - 3*z + 3. Give 44*r(s) - 6*x(s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(110\/(-100))\/(1\/(-15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-29 - 3*p + 29)*(3 + 1 - 5)*(-2*p + 3*p - 3*p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 265231515064.3.\nAnswer: -265231515063.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4117737 and 1482.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 105 = 3*u. Suppose -u = -2*d + 9. What are the prime factors of (11 + d)\/((-3)\/(-2))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0308254883 rounded to 4 dps?\nAnswer: -0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7338341 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*s**2 + 20\/3*s - 136\/9.\nAnswer: 4*(s - 2)*(s + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 1807*i**3 - 2*i**2 + 211 - 213 + 2*i**2.\nAnswer: 1807*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**2 + 1. What are the prime factors of f(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64063335.\nAnswer: 3, 5, 7, 43, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*x + x - 32 = 0, u = x + 8. Suppose -2*w + 4*q - 4 = 0, -2*w + 1 = -2*q - 1. Solve w*o = 4*n + u, -4 = 4*o + o + 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(118*(-49)\/(-318010))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 2897*i**2 + 479016*i - 1410948.\nAnswer: -(i - 154)*(i - 3)*(i + 3054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = t, 4*h - h - 87 = -5*t. Calculate the greatest common divisor of 126 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - 0.19. Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d - 33. What is p(10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-645*z**2 + 1984*z**2 - 411*z**2)*(3*z**2 - 2*z**2 + 2*z + 0*z).\nAnswer: 928*z**4 + 1856*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j + 11*j + 53*j)*(0 + 2 - 1 + 3 - 5 - 5 - 2 - 2 + 3 + 3 - 6 + 2 + 1 + 1 - 4 + (2 - 1 + 1)*(-2 + 3 + 1) - 4 + 5 - 3)*(2 - 3 - 1).\nAnswer: 784*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4417 divided by 8\nAnswer: -4417\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3269 = -34*t - 3983 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + j - 1. Let i be g(3). Suppose 4*a = 2*z - 0 - 12, -3*z + a = -13. Suppose 0 = z*r + 4*f - 28, r - f + 1 = 4. Solve r*u = -0*u + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = -6*l. Suppose 3*b = 2*z + 4 + 2, -b + 3*z - l = 0. Suppose 0*h**4 + 2*h**2 + 2*h**b - 4*h**2 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(20\/16)\/(-1). Let m be k\/2*-4*138\/60. Let a be -4 + (m - (4 + -1)). Solve -5*h = -3*u - 12, 0 = 6*h - h + u - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*k**2*x**2*y**2 + 2607*k**2*x - 2*k*x**2 + x*y**2 - 13*x*y wrt y?\nAnswer: -60*k**2*x**2*y + 2*x*y - 13*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.04 (b) 3 (c) -1\/61 (d) -1\/2 (e) -4 (f) -0.2239\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 15*u**2 - 2*u**2)*(74*u**3 - 37*u**3 - 32*u - 35*u**3).\nAnswer: -22*u**5 + 352*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011627114 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k = 47*k + 5*n - 56 + 56, -4*n = 6*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - -1*1*((-14)\/6)\/((-14)\/18).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 6 + 44. Let s(q) = 5*q**3 - q + 2. Let l be s(2). Let k = -20 + l. Calculate the greatest common divisor of v and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = -3*t - 28*t + 330 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068776 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 7*c**2 - 18*c + 6. Determine f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*n = -0*x - 661516, n = 4*x + 882004. What is x rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) + 0 + sqrt(833))*-2.\nAnswer: -16*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162831 is divided by 1527.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2. Let y(l) = 186*l. Determine y(i(o)).\nAnswer: 744*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -16.34?\nAnswer: 147.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n - 2*z, 4*n - z - 16 = -4. Solve v = n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n + 2598 + 2320 = 3343 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/12180 and -71\/3858.\nAnswer: 7831740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-190)\/(-14) - 13). Sort -1\/4, -3\/2, 2\/15, d, 3\/8.\nAnswer: -3\/2, d, -1\/4, 2\/15, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -51. Is (1 - v)\/((-2)\/(-1361)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 1. Let o be m(1). Let t be (-6)\/(-3) - 0 - o. Suppose 3*u + 32 = t*u. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147348 divided by 6.\nAnswer: -24558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 7*o**6\/30 - o**3\/3 + o. What is the second derivative of x(a) wrt a?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35283 - 23250 = -1293*i + 13628 + 10591 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*b = 180*b + 209. What is the remainder when 32 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5973352 and 28336.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - m - 6 = 0, 0 = -y - 8*m + 6*m - 3. What is the remainder when (26 - (y + -2)) + -1 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 3)*(9*g**5 - g**3 + g**3) + (0*g**2 - 2*g**3 + 0*g**2)*(-g**2 + 2 - 2).\nAnswer: -43*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -87*y + 5. Let h be t(3). Let m = h + 175. Let u = m + 83. Calculate the smallest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 21*b**2 + 5*b + 2. Let m(s) = -s**3 - 11*s**2 + 2*s + 1. What is -5*m(l) + 2*r(l)?\nAnswer: l**3 + 13*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 1. Let u(q) = 22*q**3 + 22*q**2 + 22. Determine 44*s(o) + 2*u(o).\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i*i*i)**1)**15 assuming i is positive.\nAnswer: i**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -4. Let f = 3 + -3. Suppose f*p = q + 5*p - 37, -5*q + 157 = -3*p. Calculate the highest common divisor of t and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27150.1 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**1))\/(c\/c**(1\/4))*(c**(2\/7)\/c)\/c**(3\/8))**1 assuming c is positive.\nAnswer: c**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*o + 102*o = -104*o - 165 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:19 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**7)\/d)\/d**(-6)*(d**(-2\/5))**(25\/6))**18 assuming d is positive.\nAnswer: d**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.33 - -213.\nAnswer: 291.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**3 + 3*v - 2 + 5*v + 19*v**3 to t + z*v**3 + r*v + o*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:54 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35703, 40536, 45369, 50202, 55035?\n\"Answer: 4833*h + 30870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117498918 by -6.\nAnswer: 19583153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 - 20*z**4 - 19*z**2 + 2 wrt z?\nAnswer: -120*z**2 - 480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30449\/20988 - 56\/477. What is the common denominator of 41\/84 and r?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75780 divided by -45?\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5 + 9 - 11 + x + 3*x**2. Let s(d) = -6*d**2 - 2*d - 7. Let c(f) = 2*f - 19. Let g be c(8). Give g*s(q) - 7*r(q).\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -119, -133, -151, -173, -199?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*m - 29, 42*m = -4*r + 39*m + 48. What is the remainder when 53 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1874 - 877. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(-3*k**4 - 2*k**4 + 4*k**4) + 2 - 2 + 2*k**4 + 6*k**4 - 6*k**4 + 7*k**4 as u*k**2 + d + x*k**3 + i*k + l*k**4 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 0 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/6556066 and -31\/240325?\nAnswer: 163901650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeff. Give prob of sequence fe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 11*o**6\/3 + 25*o**3\/3 + 22. Find the third derivative of a(i) wrt i.\nAnswer: 1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-1)\/2 - -589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/((-2)\/48). Let z = 11 + q. Let f = 4 - 2. What is the biggest value in f, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*l**4 + 84*l**3 + 5*l**2 + 1276 wrt l?\nAnswer: 1032*l + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.159 + 0.051. Let d = -0.01 + y. Let s = 0.4 - d. Which is the smallest value? (a) s (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178615.\nAnswer: 5, 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6665))\/((-1)\/5). Let v be (15816\/99975)\/(12\/10). Let d = u + v. Which is the third biggest value? (a) d (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 - 184203282*f**2 - 182561345 wrt f.\nAnswer: -6*f**2 - 368406564*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1039557387 to the nearest integer?\nAnswer: 32242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 1. Let u = -4 - r. Let w = -4.1 + 4. Which is the second biggest value? (a) u (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:05 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 22. Solve -m = -0 - w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from mmcmccccccc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 11*m**2 + m + 16. Let z be p(-11). Let r(t) = -2*t**3 + 4*t - 2. Let f(s) = -3*s**3 + 6*s - 3. Calculate z*f(o) - 7*r(o).\nAnswer: -o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g**(-8))**1 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-14160)\/(-25))\/(2\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105702 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*g - 4*g + 2*g + 0*g + (-g - 4*g + 3*g)*(-2 + 6 - 3) - g + 0*g - g - 124 + 63 - 130*g + 61 + 798*g.\nAnswer: 665*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1200*w**3 + 16*w**2 - 32*w - 16. Let d(h) = 4*h**3 + h**2 - 2*h - 1. Give -16*d(m) + v(m).\nAnswer: -1264*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11584720 to the nearest 100000.\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*m + 193*m - 4*v + 55 = 21, -m = -3*v - 3 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1983, 1 in decreasing order.\nAnswer: 1, 0, -1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 190*c + 960.\nAnswer: 5*(c - 32)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 5, e: 4, x: 4}. What is prob of sequence km?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-282)\/(-235))\/(3*8\/(-180))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*a + a + 2*a + (-2 + 2 - 2*a)*(0 + 0 - 1) + a + 2*a + 0*a.\nAnswer: 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -3770\/9 and -419 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 37, 94, 187, 328, 529, 802, 1159?\n\"Answer: 2*m**3 + 19*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522404412.\nAnswer: 2, 11, 61, 939793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h - 64. Calculate z(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhttvlvhttttv. What is prob of sequence lv?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*m - 5, -3*m - 4 = 2*g - 8*m. Calculate the greatest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3814083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 1, i: 4, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 2*f**5 + 3*f**2 + (-3*f + 1 - 1)*(-3*f**4 + 5*f**4 - 4*f**4) - 1350 - 2*f**3 + f**5 - f**2 + 1357 - f**3.\nAnswer: 9*f**5 - 3*f**3 - f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*g + 4, 26*k + 5*g = 22*k + 28. Suppose 2*s - 805 = 5*z, -5*s + 1202 = -2*s - k*z. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 33*p + 54. Let y be k(-18). Suppose 0 = 2*r + 10, 5*x + 2*r - 20 = y. What is the remainder when 26 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/6)\/(i\/(i*i\/(i*i\/(i*i*i*i**(-4\/11)*i*i)*i)))*(i**(-9\/5))**(2\/39) assuming i is positive.\nAnswer: i**(14489\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -56.981. Let l = 1.399 + q. Let s = 0.88 - l. Which is the third smallest value? (a) -10 (b) -3\/5 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:35 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32759 + 32768. What is the closest to v in 0.02, -4, 0, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -6?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -1771, -6265, -15099, -29719, -51571, -82101?\nAnswer: -122755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -20. Let q = z - 8. Let d = -6 - -10. Sort 2, q, d.\nAnswer: q, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-28))\/((-2)\/3232). Calculate the common denominator of -31\/4 and y\/(-48) - (-5 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -27*o**2 + 7608*o - 13441. What is z(280)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/12 - 5*p**3\/6 + 2*p. Let m be q(5). Suppose m = 3*j - 4*j + 10. Solve 2*f - 4*f - j = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4183.7 - -4183. Put -14, 49, j in descending order.\nAnswer: 49, j, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 21 + 13 + 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4\/7 (c) -1\/21 (d) -0.3 (e) -27.518 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.65922 weeks in milliseconds?\nAnswer: 36081896256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120.99618 - 0.05618. Let g = r - 121. Which is greater: 1\/24 or g?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 4*l + 4. Let r(v) = -v**2 + v + 1. Let d(m) = -4*r(m) + s(m). Let w(z) = z. Determine w(d(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1819\/42 - 127\/7. Calculate the common denominator of q and -25\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 116, 171, 280, 461?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 88, 79, 64, 43?\n\"Answer: -3*n**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(209)*-3 + sqrt(209)) - sqrt(209))\/(-1*sqrt(11)*-1) + 3.\nAnswer: -13*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.1756 - -10.749237. Let u = 2.573696 - r. Let a = u + -3. Round a to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*u - 18, 4*t - 2*u + 2 = 6*t. Solve -20 = -7*w + t*w - 3*f, -2*w = -4*f + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000431101 to six dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1225) - (4*sqrt(100) + sqrt(25)))\/((sqrt(25) + -5*(sqrt(25) + sqrt(100)\/sqrt(4)))\/sqrt(5)) + 0.\nAnswer: 16*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/2 of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*i - 1. Suppose 9*b = 4*b + 2*u - 21, 4*b - 3*u + 21 = 0. Sort i, 0, b.\nAnswer: b, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -2*((sqrt(1008) + sqrt(1008) + 3 + sqrt(1008))**2 + -1 + -5 + -2 + sqrt(1008) + sqrt(1008))*-2).\nAnswer: 3840*sqrt(7) + 145188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*p**3 - 3*p**5 - 36*p**2 - 17*p - 4*p**4 - 8*p**4 + 5*p - 6*p**4.\nAnswer: -3*p*(p + 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 - -219566.\nAnswer: 219528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = 447. Let q = -32 + z. Suppose -8*c + q + 59 = 0. What is the smallest common multiple of 12 and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**7\/13860 + w**6\/3960 + w**4\/12 + 2*w**2. Let d(m) be the second derivative of s(m). Suppose d(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/3)\/(1\/3). Let p = -22 - i. Suppose 4*x - 7*x + 15 = p. Solve -x*l + l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*0.058.\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 + 2?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239485?\nAnswer: 5, 211, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*s - 161*s**4 - 76*s + 317*s**4 + 0*s**4 + 0*s**4 - s**4 + (-8 - 6 + 3)*(2*s**4 + 2 - 2).\nAnswer: 133*s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*h + 5*x = 134*h + 177, 0 = 3*h + 5*x - 144. Put -5, h, 5, -3, -4 in descending order.\nAnswer: h, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1503791, -3007586, -4511381, -6015176, -7518971, -9022766?\n\"Answer: -1503795*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**7*u)\/u)\/u*u**(-2)\/u*u)\/(u*u**(3\/5)*u*u\/((u*u**(4\/3))\/u)) assuming u is positive.\nAnswer: u**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 4*v + 6. Let r(j) = 5*j**2 + 20*j + 31. Let q(a) = -22*p(a) + 4*r(a). Factor q(i).\nAnswer: -2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c. Let z be w(0). Suppose 2*v = -z*v + 20. Solve 14 + v = 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*h - 2*h + 164, -3*h + 246 = -5*l. Suppose -6*g + 14 = -h. Let k be 3\/(g\/12*9\/112). What is the highest common divisor of 252 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2463 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16367?\nAnswer: 13, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1342 and 69586.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 8*p**2 - 2*p + 1. Suppose -22*o + 23*o + 21 = 3*q, -4*q + 23 = -3*o. What is v(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 + 0.3. Let h be 9\/(-198)*704\/192. Which is the closest to h? (a) 0 (b) u (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2638*k**2 + 2635*k**2 - 4314 + 2637*k**2 - 7911*k**2 as r*k + f*k**2 + m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6821660?\nAnswer: 2, 5, 341083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(310\/(-837))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(6\/(-40)))\/(42\/21). Let l = -10 + w. Suppose l = 4*n - 198 - 58. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from hhxgxxhxcgaggxggcg.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -170, -1470, -5064, -12116, -23790?\n\"Answer: -194*r**3 + 17*r**2 + 7*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -10406, -0.4 in increasing order.\nAnswer: -10406, -0.4, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.08031888 to the nearest integer.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 946 + -490. Suppose n - 5*n + 4*b = -a, b = 5*n - 590. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 35*q + 7. Let l(f) = -18 - 8*f - 17*f + f**2 + 8*f + 22. Let d(v) = 3*a(v) - 7*l(v). Let k be d(13). Do 6 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43921 - 23768. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 5. Let v be x(10). Suppose 6 = -v*o + 16. Solve o*q - 10 = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -t - 35 + 15 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 25. Determine g(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 269336 and 1404320?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 924846 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 89*o**2 + 225*o + 411. Is c(50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12630509 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 8*y**4 - 72*y**3 - 128*y**2 - 92*y - 24.\nAnswer: 4*(y - 6)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 12. Let n = t - -9. Solve 2*f = -q - n*q + 9, -2*q - 5*f = -23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 + 690372.872394.\nAnswer: 690372.909394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/10 - 27\/15. Let d = 1685 - 1663. What is the smallest common multiple of a + 21 + (2 - 1) and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 - (3 - (-9 + 5 - -11))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 918\/(-18) + 65 + (-2 - -99) + -10.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (0 + (sqrt(1800)*-1)**2)*6 + -1).\nAnswer: -32412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63055\/41 - -1538. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/(12060\/(-216)))\/(-81*3\/30)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + 34 + -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 1. Let l be t(-6). Do -18 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.19?\nAnswer: 8.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -67. Suppose 0*u - 2*u + x = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297228 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 258?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -122\/3. What is the third biggest value in -2, -0.1, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 278 = -q, 4 - 6 = -q. Let t = -35 - p. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-3))\/u*u**(-1\/4)\/u*u*u)**(-10\/13)*u**(1\/2)\/(u**1\/u)*((u*(u\/(u\/(u\/(u\/(u\/u**(1\/2))))))\/u)\/u*u)\/u**(-6) assuming u is positive.\nAnswer: u**(87\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5990 (b) -21 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68 + (-30)\/25*-5. Let m = k - 71. Suppose -t - 1\/2*t**4 + 5\/2*t**2 - 3\/2*t**m + 0 + 1\/2*t**5 = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 5 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -46171\/786?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5*x + 3*x**2 + (23*x + 9*x - 7*x)*(-x - 2 + 2))*((2*x + 0 + 0)*(4 + 2 - 5) + 2 - 2 + x).\nAnswer: -66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 4*b + 4. Let y be z(4). Let r = 761 + -538. Suppose -y*d + 373 = -r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287234945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*2\/(-4))\/(17\/221). Let i = 11 - 7. Suppose 6*l - i*l - f = 0. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/8)\/(d\/d**(3\/29)*d))\/(d**(-4))**(7\/12))**(1\/24) assuming d is positive.\nAnswer: d**(217\/16704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((67\/(-670))\/((-3)\/(-12)))\/(3\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 14 = 2*m + 5*c, 3*m + 5*c - 21 = 0. Let k be (0 - 4\/m)*3 - 251. Find the common denominator of -73\/8 and k\/(-624)*(-12)\/(-14).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3)*i)**(-28\/3))**28*(i**(-2\/17)\/i**(-5))\/((i**(3\/5)*i)\/(i\/i**(-5))) assuming i is positive.\nAnswer: i**(69007\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqmiff. What is prob of sequence miff?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d - 5*x + 103 = 0, -86 = -3*d - 2*x. Suppose -4*t + d = -0*t. Calculate the smallest common multiple of 10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g - 4*g)*(-49*g**3 - 20 + 6 + 51*g**3) to f*g**2 + u*g**3 + z*g**4 + l*g + w and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 + 2*j - j - 1 + j**2. Let l(i) = -i**3 + 2*i**2 + 2*i - 3. Let u = -2352 + 2355. Calculate u*d(c) - 2*l(c).\nAnswer: 2*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o + 30. Let y(i) = -i**3 + 6*i**2 + i - 7. Let z be y(o). Let w be 23\/4 - z\/4. Solve 2*c - w = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 48. Let p(n) = 12*n**3 + n + 1. Give p(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + 29)*(-2)\/(-2 + -2). Calculate the greatest common divisor of g and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41040944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 11*d + 11. Let a be j(12). Let h be ((-9)\/3 + 2 - -1) + 0. Sort 7, h, a in decreasing order.\nAnswer: 7, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -42. Solve 5*p + 15 = -4*w, 0*p + m = w - p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.2 (c) -16 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749672 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*3\/15)\/((-1058970)\/2475). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 1712138?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 48*r**2 + 975*r - 61486. Give q(52).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-51)\/9 - -9)*(-9)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 48*c**2 - 35*c - 401. Calculate w(25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98587476 by 2292732.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1132250860*p**4 + 14056984*p**2 wrt p.\nAnswer: -27174020640*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 4 - 3) + -7476. Let x = -134453\/18 - t. What is the common denominator of x and 41\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 26. What is the second biggest value in 1\/3, s, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30733424.\nAnswer: 2, 1920839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.8999998304 - -6.9. What is s rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1598*b*l - 37*b - 51614*l - 1 with respect to b.\nAnswer: -1598*l - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31300508 divided by -7825127.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4985424 and -25\/9612?\nAnswer: 14956272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6600 is divided by 311?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2100 and 59\/1925.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -65*x + 8 + 98*x - 35*x. Let z(n) = n**3 + 4*n**2 - 4*n + 4. Let a be z(-5). Let s be y(a). Solve 0 = -v + 6*c - 2*c + 11, v + s = -3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1724*u - 2 + 843*u + 883*u + 2. Let c(s) be the third derivative of s**5\/15 - 7*s**4\/8 + 2*s**2. Determine c(w(l)).\nAnswer: 16*l**2 - 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3621, -2681, -1121, 1053, 3835?\n\"Answer: -x**3 + 316*x**2 - x - 3935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095 plus 13?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 7. Let t(c) = 7*c. Let q(b) be the first derivative of -3*b**2 - 358. Calculate r*q(o) + 5*t(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -17. Suppose 2*g - 4*z + 4 = 0, 0 = -2*g - 11*z + 9*z + 2. Suppose -3*o + 0*o + w = g. What is the lowest common multiple of o and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23077?\nAnswer: 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjnnngnjsgnnjns. Give prob of sequence sgj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 233142.2um in nanometers?\nAnswer: 233142200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*v = 30 + 9, -3*c - v - 47 = 0. Let o = 3 - c. What is the highest common factor of 54 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 281572955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(2736) - -1*(sqrt(2736) + 2) - (0 + 1*-2*sqrt(2736))*-6.\nAnswer: -108*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ppkpkpp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 21. Suppose d*t - 3 = -b, -4*t = -3*b - 4 - 13. Determine u so that 2*u**2 + 2*u**3 - 3*u**4 + t*u**3 + 5*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/21*(-266)\/(-76).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 10 = -18*n. Suppose -4*i - 3*t = -474, -4*i = -5*i + n*t + 113. What is the least common multiple of i and 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2 + 9*q - 8. Let f(g) be the first derivative of -2*g**3\/3 - 3*g**2\/2 + 3*g - 1655. Calculate 11*f(c) + 4*y(c).\nAnswer: 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 - (61 - 74).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -328, -378, -468, -610, -816?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.12, 3\/5, -0.27, -99?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 1040?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - -113. What is the greatest common divisor of g and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.06, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 40. Let f be u(-21). Let n = 199 + f. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3544 + -2ac?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111112 (base 3) to base 7.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 7\/(-28) + (-808)\/(-32)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11849 and 123\/170?\nAnswer: 118490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -251*h**4\/12 + 353*h**2\/2 + 1758*h. What is the derivative of f(p) wrt p?\nAnswer: -502*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 64*p**2 - 42*p + 7. Let t = -16 + 11. Let s(r) = 43*r**2 - 28*r + 5. Let q(y) = t*i(y) + 7*s(y). Find the second derivative of q(z) wrt z.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 2192593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**6 + 26*j**4 - j**2 - 31*j wrt j?\nAnswer: -480*j**3 + 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 6550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*h**6 - 7*h**5 + 24*h**4 - 2*h**2 + 49196 wrt h.\nAnswer: 2640*h**3 - 420*h**2 + 576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1818, 1808, 1798, 1788, 1778?\n\"Answer: -10*n + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2 - 3*h**3 - 26*h**4 + 4535 - 3*h**2 - 4225 - 260*h**4 with respect to h.\nAnswer: -1144*h**3 - 9*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(-118))\/(26\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31266107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54, 301, 696, 1221, 1858, 2589, 3396, 4261?\n\"Answer: -3*b**3 + 92*b**2 - 8*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 + 7*a - 7*a + 23*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341339 is divided by 530?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 15 - (3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 709096 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1400))\/(sqrt(800) - ((sqrt(800)*-1 - sqrt(800)) + sqrt(800))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -14, -27, -38, -47?\n\"Answer: y**2 - 18*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + v + 1. Let z(r) = -15*r**3 + 2*r**2 - 5*r - 5. Give -5*i(q) - z(q).\nAnswer: 10*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(77*b**4 + 19*b**4 - 18*b**4) in the form w*b**2 + i*b**3 + u*b**4 + k + h*b and give u.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 3*u**2 - 9*u - 2. Let o be v(5). Solve -o*x - 2*m + 25 = 3*m, 3*m - 11 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -98, -66, 23, -2 in increasing order.\nAnswer: -98, -66, -3, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/5, 3\/4, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2234, 0, -9, -2, -4 in decreasing order.\nAnswer: 2234, 9, 0, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -455? (a) -1.9 (b) -4 (c) -0.09 (d) -0.01 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/120 - u**5\/30 + u**4\/8 - u**3\/2 + u**2. Suppose -2*f - 4*o + 1 = 9, 2*o + 28 = 5*f. What is the units digit of t(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 10, 26 in decreasing order.\nAnswer: 57, 26, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 426.9993825 to 2 dps.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128.109 - 128. Let j = 1123876 + -1123876.1090114. Let k = b + j. Round k to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529932.9 micrograms in grams?\nAnswer: 0.5299329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**2)**(2\/51)*j\/j**(-4)*j\/(j*j**(-1)*j) assuming j is positive.\nAnswer: j**(253\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 142955 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*u + 27 = 0, x - u - 57 = -4*x. Solve -2 = 3*g - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7689277 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820299714.\nAnswer: 2, 41, 22198777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-466)\/460)\/(87570\/(-116760))\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 6:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411545857 to the nearest integer?\nAnswer: 20287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24112206 by 6.\nAnswer: 4018701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 869 = 1641. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 822*f**5\/5 + 1067*f**2 + 564. Find the second derivative of s(y) wrt y.\nAnswer: 9864*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -586 - -591. Let r(q) = -12 + 2*q**2 - q**2 + q**3 + 0*q**3 + n + 2*q**2 - 6*q. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7034 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25124862773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -56112\/473?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 142*d + 1. Let f(a) = 5*a + 1. Calculate -2*f(n) - t(n).\nAnswer: -152*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 53915.\nAnswer: -53914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, -15 in descending order.\nAnswer: 5, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -217992?\nAnswer: -43598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72695 and -8?\nAnswer: -581560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(30)\/sqrt(6)) - (sqrt(11) - sqrt(176)*2))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose y + 5 - 1 = 0. Suppose 2*o - 5*l = -4 + 31, -5*o + l + 10 = 0. Sort y, o, i in ascending order.\nAnswer: y, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2 + 2)*(0*k**3 - 2*k**3 - 6*k**3) - 2*k**4 + 5*k**4 + 0*k**4 - 32*k**4 + 58*k**4 - k**4 + 60*k**4.\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-5*p + 3*p**2 - 2*p**2 + 2*p).\nAnswer: -2*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*x + 17, -5*x + 7 = -4*f + 5*f. Suppose 29*t - f*t = -1176. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, -20.6, -2?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.04 times -0.1?\nAnswer: -20.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Let l be 29\/(-8) - -4 - (-2)\/(-8). Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 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 l = 87 + -49. Let t be (2\/3)\/(4\/6). Solve w = b - t, 9 - l = -5*b - 3*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-18))\/(67\/((-32562)\/36)). Solve b = a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1402*a**3*f**3 - 5*a**3*f + 147*a**3 + 5*a + 8 wrt f.\nAnswer: -4206*a**3*f**2 - 5*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 bigger than 52092\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32229 + -128915\/4. Which is the closest to 1? (a) 3\/5 (b) u (c) -281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 16, 3\/8, 85?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93345728?\nAnswer: 2, 7, 139, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.01 - 0.01. Let w = t + -8.7. What is the biggest value in 1, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -3 - (146 - 122)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20*d**2 - 9*d - 1. Let n(f) = -41*f**2 - 20*f - 2. Give 2*n(a) - 5*z(a).\nAnswer: 18*a**2 + 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 27 - 189*p - 18 to i*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 78, 101, 126, 153?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 378*l - 13. Let q be c(1). Suppose 0 = 33*j - 1091 + q. What is the remainder when 130 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2373 and 232215.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 172 - 534 + 8*y + 168 - y**2 + 180. What is l(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 485.\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3 + 2*g**2 - 7 + 8 + 2. Let t(c) be the third derivative of 3*c**4\/8 - c**2. What is t(d(k))?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.91 + 0.09. Let p = 52800 + -52798. What is the closest to -0.2 in w, -1\/6, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -6*1*sqrt(77)) + sqrt(77))*-1*1)\/(sqrt(84)\/sqrt(3) - sqrt(63)*-2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9239038 - -697544.\nAnswer: 697544.9239038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121102 + -12?\nAnswer: 121040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (0 - -148))\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435022492 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11.4. Which is the closest to -0.07? (a) 0.2 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**17\/u)\/u)**(3\/19)\/(u\/(u**(-1\/2)\/u*u)*u\/(u*u**15)))**(-18\/7) assuming u is positive.\nAnswer: u**(-5427\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + -3)*-6.\nAnswer: -6*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 - 56*g**3 + 41*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -15*z**3\/2 + 57*z**2\/2 - 33*z\/2 - 9\/2 = 0.\nAnswer: -1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, q: 2, c: 11, e: 1, p: 1}. Give prob of picking 2 q, 1 n, and 1 c.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 435*i - 434*i + 148*z + 1036, 2*z + 14 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 478911*a**3*c - 33379*a**2 + 17*a*c wrt a.\nAnswer: 2873466*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-300) - (-6)\/45?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -10, 5, 32, 71, 122, 185?\n\"Answer: 6*v**2 - 15*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 71*z**2 + 9*z + 16. Let m be w(-4). Suppose -826 + 159 = -3*y + 2*i, -5*y - i + m = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 79*z**2 + 68 - 2*z + 42*z**2 + 52*z**2.\nAnswer: 15*z**2 - 2*z + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q. Let s(u) = u**2 + 2*u. Give -4*b(m) + 3*s(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:34 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*f = 5*f + 13, -r - 5*f - 5 = 0. Suppose -3*n = -5*x - 21006, 0 = -n - 2*x + r*x + 7006. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*w**2 - 5 + 5 + (w - 2*w + 4*w)*(3 - w + 0 + 0*w).\nAnswer: -14*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 668*r**2 + 7 - 1489*r**2 - 48.\nAnswer: -2157*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220.1 - 218.1. Let x = 0 - 0.4. Let g = -0.1 - x. Which is the closest to n? (a) 5 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19*h**3 - 2*h**2 + h + 2. Calculate n(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7225 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2793607 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (6552\/104 + -117)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, k: 9, c: 6}. What is prob of picking 3 c?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 5*d**3\/3 - d**2\/2 - 3*d. Suppose 0 = -2*m - 2 + 10. Suppose -m*j = -0*j - 4. What is i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19377069617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3 (c) -0.2 (d) 0.4 (e) -2\/3 (f) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - i**3 + 3*i - 21995*i**2 + 22050*i**2 as g + c*i + v*i**3 + y*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*-12*4\/((-1320)\/5)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4918*q - 29337 + 29337 + 1567*q in the form f + p*q and give p.\nAnswer: -3351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let k = 5 + -8. Sort 5, k, q.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-20\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqi when three letters picked without replacement from eeqiqexeqegeq.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 220337252 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 41 and 114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 300 - 66. Let y = -56 - b. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:08 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + 0.36. Let r = -5 + 6. What is the nearest to -2\/3 in r, x, 12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 8*x**2 - 2*x + 2. Calculate u(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -403 - -403.4435. Let s = r + -0.0035. Which is the second smallest value? (a) -1\/9 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/330 - 90\/(-225)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 40*r + 322. Let k be q(-8). Solve 4*o = k*c - 10, -7*o + 12*o = -15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2322 divided by -3\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -120, -212, -330, -474, -644, -840?\n\"Answer: -13*s**2 - 53*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48328723?\nAnswer: 19, 2543617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-2 - 2 - -9). Suppose v*j = -4*r + 60, -r + 4*j = -j - 40. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -618863.588 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**2*w - 264087352*c**2 + 5855900*c*w - 2*w wrt w?\nAnswer: -6*c**2 + 5855900*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from paakpajsanppajppp?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*j**3 - 2*f*j**2 - 32*f*j + f - 11*j**3 wrt j?\nAnswer: 12*f*j - 4*f - 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -13, -5, -11, -55, -0.1 in decreasing order.\nAnswer: 8, -0.1, -5, -11, -13, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d + -9039?\nAnswer: -8ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 57*k - 2901513 - 1534996. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(75) + 4 - sqrt(3)) + sqrt(75) + 2)*-6)**2.\nAnswer: 3240*sqrt(3) + 9648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/5, -5\/4, -0.11, 6, 2.656?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -142*d - 711. Let s be n(-5). Let y(x) = 7*x**2. Determine y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Suppose -6*k - 5 = 7. Let o = k - -3. Let z be x(o). Solve -z*j - 4*r = -6*r - 6, 7 = j - 3*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 57 + 8200\/(-60) + (-2)\/6?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -2)**2 + 0.\nAnswer: -36*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31878229 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 81 + 7 = 3*n + 5*c, 2*n = -3*c + 54 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 2137 + g + 0*g - g**2 + 2134 + 3*g. Suppose -8 - 2 = -5*z. What is the remainder when x(z) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 861 and 492?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-48) - 66\/(-36). Suppose 0 = 3*v + 5*b - 2096, -3*v + z*b = -1902 - 187. What are the prime factors of v?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 - 60*p**3 + 204*p**2 - 212*p + 72 = 0 for p.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 308, 2426, 8178, 19382, 37856?\n\"Answer: 303*d**3 - d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 12 - 26 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 3*y**2 + 2. Let a = -9 - -7. Suppose -3*g - 1 = -4*g. Let v = a - g. Determine d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 463470 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q + 21*q + 4*q + (q + 2*q + 0*q)*(3 + 2 - 2).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101 - -3201211102?\nAnswer: 3201213203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-42)*(-77)\/220*5\/11*33?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 263, 389, 511, 629?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.49*0.0359\nAnswer: -0.268891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1*4)**2 - (1*sqrt(12))**2) + (sqrt(3) - (sqrt(3) + 1))*-4*3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4642 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 476, 473, 476, 491, 524, 581?\n\"Answer: u**3 - 3*u**2 - u + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 11*r**2 + 7*r + 1. Calculate v(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17146 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1\/8, 78, 3, -2 in ascending order.\nAnswer: -2, -1\/8, -0.02, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 108 = 2*w. Let x = w - -94. Let r = x - 17. What is the highest common factor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -23. Suppose w*m = 2*m + 5. Calculate the highest common divisor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b = -4*k - 95*b + 63, -5*k = 5*b - 65 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -515 - -1404. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81055 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: -161761 divided by 185\nAnswer: -161761\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/51)*v)\/v)\/v**(9\/4) assuming v is positive.\nAnswer: v**(-263\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:46 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 56*q - 280. Let p(l) = 1. Determine -3*h(b) - 840*p(b).\nAnswer: -168*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4724*n + 23519. Determine v(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -ccb?\nAnswer: -cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58718, -117439, -176160, -234881, -293602?\nAnswer: -352323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 177 and -357.5344033?\nAnswer: 534.5344033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -3 (c) -0.5 (d) -0.113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -77 - 3. Suppose 5*i = 5*l, -i = -4*l - 1 + x. Find the third derivative of -337 + 3*d**2 + 337 - 5*d**l wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92160 divided by -36.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/7, -6\/17, 0 in ascending order.\nAnswer: -6\/17, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + k + 77 + 35 = 0, -3*k = -4*m + 112. Let j(i) = 2*i**2 + 2*i + 2. Let u be j(-3). Calculate the greatest common factor of u and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -11 + (-238)\/56)*(-1 + 1). Let i = 0.9 - -0.1. What is the biggest value in -1\/2, i, d, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-2 + 2 + 9. Let i(f) = -6127 + 6*f + 6118 + 7*f. Let g(s) = 3*s - 2. Calculate c*g(y) - 2*i(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**6\/3 - z**5\/10 - 43*z**4\/12 - 11*z. Find the third derivative of g(v) wrt v.\nAnswer: 240*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.055 + -0.032. Let p = b - -0.497. Let y = -17.69 - p. What is y rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*f**3 - 100\/3*f - 100\/3 + 1\/3*f**4 - 7*f**2 = 0. What is f?\nAnswer: -5, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1205 = 4*d, -d + 1470 = 4*d + r. What are the prime factors of d?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 7*v - 9. Let j(a) = -3*a**2 - 7*a + 8. Let h(p) = -6*j(p) - 5*w(p). Let u be h(7). Is (1 - 5)*871\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 35*i**2 + 3*i + 21. Let a be d(-3). Suppose a*w - 332*w = -945. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37440433 to the power of 1\/2, to the nearest integer?\nAnswer: 6119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q**2. Let z(d) = -d**2 + d + 1. Let t(x) = -5*x**2 + 4*x + 4. Let y(i) = -t(i) + 4*z(i). Determine a(y(r)).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 128 (b) -10.1651 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t + 36*t + 2429*t**2 - 2444*t**2 - 103*t + 40*t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 35, -103, 1 in increasing order.\nAnswer: -103, 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/3 + 10*c**2 - 6*c - 16\/3.\nAnswer: 2*(c - 1)*(c + 8)*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 914*g**2 - 4*g - 196. Let p(a) = 919*a**2 - 5*a - 196. Let u(c) = -4*l(c) + 3*p(c). Find the second derivative of u(s) wrt s.\nAnswer: -1798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 35. Solve 3*w - 4*j = i, -j + 1 = -3*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c5 (base 15) to base 12.\nAnswer: 254b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 19 = -3*y, -4*j + y = -2*j - 1. Suppose 0 = j*n - 3 - 3. Suppose 5*z - n - 27 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 3095*y - 192660 = 0.\nAnswer: -57, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5028124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382, 9464, 21246, 37728, 58910?\nAnswer: 84792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9415874nm?\nAnswer: 0.0000000009415874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 26*w**3 + 22*w**3 - 240261 - 2*w**2.\nAnswer: -4*w**3 - 240261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 4)*42*4\/16. Let f be 1 + (-21)\/12 - s\/(-60). What is the biggest value in f, -8\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*j - 772, -2*j = -z + 3*z - 508. Suppose -3*n + j = -0*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63372031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 6*q - q**2 + q**3 + 8*q**3 + q**2.\nAnswer: 5*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21801417*t**2*v - 63209*t - 19*v wrt t?\nAnswer: 43602834*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*u + 2, -15*u = -g - 19*u - 3. Sort -19, -0.2, 2\/21, 2\/9, g in descending order.\nAnswer: g, 2\/9, 2\/21, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2 = -8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2194.4 - -2194.9. Which is greater: 1\/129 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7110000 to the nearest ten thousand.\nAnswer: -7110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05979 * -0.03\nAnswer: -0.0017937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - 4. Do -2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/3 - 10788*y + 43642854 = 0?\nAnswer: 8091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037936723?\nAnswer: 1037936723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - i + 1. What is the remainder when 16 is divided by n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 20, 43, 86, 155, 256?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 57*h**2 - 57*h + 47. Determine a(-58).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14663 and 0.01.\nAnswer: -14662.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/18*((-6)\/(-56))\/(56\/896)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20909 rounded to the nearest one hundred?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -224254 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10184 + -10165. What is the remainder when 986 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112455 is divided by 245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 74. Let u(f) = 35*f - 29. Let c be u(p). Let o = c - 161. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079596*g**3 + 2159194*g**3 - 1079594*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3 - 14*n**2 + 57*n - 72 = 0?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 16*h - 25. Let b(w) = -w**3 - 17*w**2 - 2*w - 20. Let q be b(-17). Let j be n(q). Solve 4*i - 5*y = -0 + j, i = y + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63293, 1, -1, -2 in decreasing order.\nAnswer: 63293, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -12 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1939 and 17569279?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + -1*(5*(sqrt(252) + sqrt(252)*-3) - sqrt(252))))**2*5.\nAnswer: -11880*sqrt(7) + 1372320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146750 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*k - 38, 6*k - k - 5*t = 65. Let n be 2\/12 + (-955)\/(-120)*4. Suppose -n*l + 69 + 731 = 0. What is the smallest common multiple of l and k?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1943 - -0.1743. Let f = -4 - -1. What is the third biggest value in s, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 64. Let w(n) = 4*n + 1. Let t be w(-7). Let g = 44 + t. What is the remainder when o is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -492\/2791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 408*y - 710. Let m be x(7). What is the highest common factor of m and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1917790, 1917791, 1917790, 1917787, 1917782?\n\"Answer: -i**2 + 4*i + 1917787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 1. Let x be m(-1). Let q(l) = -l**3 + 6*l**2 + 5*l - 4. List the prime factors of q(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9719008 to the power of 1\/2, to the nearest integer?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 820*h**4 - 2*h**3 + 2*h**2 + 10769?\nAnswer: 19680*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 22121431223?\nAnswer: 22121431223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 12*u = -25994 + 83210. What are the prime factors of u?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-80))\/((-4)\/10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 6. Let l = -2 - 6. Let a be w(l). Solve y - 3*y - a = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/12 + r**3\/6 - r**2. Let i be u(1). Suppose i = -4*g + 83. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 9*z + 34. Let l be g(-11). Calculate the remainder when (l\/(-3))\/(-4)*(74 - 1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5811644486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**4 - 2\/45*m**6 + 0 - 6*m + 0*m**2 + 2\/3*m**3 + 0*m**5. Let l(j) be the second derivative of k(j). Give l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyydydydyydddddd. Give prob of picking 1 y and 2 d.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -1171428?\nAnswer: 17\/1171428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17*n**2. Let v(a) be the second derivative of -a**4\/24 - 43*a**2 + 27*a. Let z(i) be the first derivative of v(i). Give p(z(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 59904.\nAnswer: -1\/59904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485079*d**3 - 383332*d.\nAnswer: 2910474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12523 not equal to -12523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*b - 4335 - 53*b + 0*b**3 - b**3 - 46*b + 182*b wrt b?\nAnswer: -3*b**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*u - 39 + 8, -3*o + u + 12 = 0. Calculate the remainder when (-600)\/(-12)*(-4)\/(-10) is divided by 37\/o + 2\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2350, 28, 4.\nAnswer: -2350, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -245821, -245820, -245819, -245818, -245817?\n\"Answer: l - 245822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1346.52?\nAnswer: -1345.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/40 + 3*r**4\/8 - 2*r**3\/3 - 70*r + 1. Solve h(v) = 0 for v.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 2*g + 32, -5*x - 2*g = -48. Let m be ((-6)\/x)\/((-7)\/28). Suppose k + 0*k = n, -m*k + 32 = 5*n. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 = -26*r + 117 + 185 + 160 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-25)\/p**25)\/(p\/p**(-2\/21)*p**(-2\/3))**36 assuming p is positive.\nAnswer: p**(-458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 19744661.6 rounded to the nearest one thousand?\nAnswer: 19745000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 45 = -5*z, -2*t - 3*t = z - 53. Let m be -1 + (t - 3) - 0. Suppose 17 = 8*p - m*p. What is the highest common factor of p and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.948558861 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0892415 - 770320\nAnswer: -770320.0892415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - (29 + -79 + 115)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i**2 - 8*i + 5. Let h(z) = -8*z**2 - 5*z + 3. Let o(g) = 5*b(g) - 8*h(g). Factor o(a).\nAnswer: -(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 2*y - 2*y + (-2 + 1 + 0)*(-2*y**2 - 4*y**2 + 4*y**2) - 35*y**2 + 68*y**2 + 67*y**2 - y**2 - 2*y**2 + 2*y**2 as a*y + u + g*y**2 and give g.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13601*s**2 - 9303 with respect to s.\nAnswer: -27202*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))\/t)**(-13)*(t*(t*t\/t**(1\/2))\/t)**(-44)*(t**0)**1\/((t\/t**(-3))\/(t**3*t)) assuming t is positive.\nAnswer: t**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 7*m**2 + 9*m - 1. Suppose n - 5*h - 13 = 0, 3*h = 4 - 10. Calculate the least common multiple of w(n) and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10213380 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -51*b + 55*b + 4, -5*l + b - 3*b + 19 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.058?\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15808.91 days?\nAnswer: 1365889824000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34242011*o**2*x + 2*o**2 + 9*o*x - 41*o + 19*x - 14 wrt o?\nAnswer: 68484022*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -4\/5*i**5 + 4\/3*i**3 + 0*i**2 + 0*i - 15 + 0*i**4. Factor q(b).\nAnswer: -4*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:39 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 82*r + 16. Calculate b(5).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymly. Give prob of sequence ylml.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 10*a. Let z(w) = w**3 - 6*w**2 + 4*w + 7. Let u be z(5). Let t(v) = -2*v - u*v + 3*v. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 5*t**3\/3 + 20*t**2 - 20*t + 10. Is u(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -g + 1, 5 = -5*j + 5*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 16*v - 24. Let o be b(-18). Let i(d) = d**3 - 11*d**2 - 13*d - 11. Let c be i(o). Let h = 24 + c. Is h greater than or equal to 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4135 - -11850. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883424.3 hours in microseconds?\nAnswer: 3180327480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 29. Let b be a(-11). Suppose -b*f + 41 = 33. Differentiate 2 + y - 7 - y + 21*y**f wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505571223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 245201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -687 divided by -12.\nAnswer: 229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -588.07 + 587. Let q = 2002 + -1987.63. Let d = y + q. What is d rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 - 16*l**2\/5 + 1364*l\/5 - 1344\/5.\nAnswer: -4*(l - 16)*(l - 1)*(l + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 103041*y - 5863590.\nAnswer: -3*(y + 57)*(y + 34290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 - w + 1. Let f = -1 - -19. Suppose -s + 2*s - f = 0. Let n(y) = -y**2. Calculate s*n(b) - 2*v(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62303401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605436 is divided by 1089?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 8*v**2 - 8*v + 11. Let o be w(-9). Suppose -3*y + 4*q = 35, -3*q = o*y + y. Let u = -3 - y. Solve 5*t - i + 5 = 0, -t + u*i + 12 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 1. Suppose -2*s = 5*p - 12, -5*p + p - 24 = -4*s. Suppose x - 3*x + s = 0. Calculate the least common multiple of a(x) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20349*x - 224481. Give d(11).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/((-1)\/4*1). Let c = 13 + g. Let d = -16 - c. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2385 and 12813.204.\nAnswer: 15198.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76078\/7 + -836740\/77. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 + 27*g**3*h**2 - g**2*h**2 + g*h**2 + 2*g*h wrt g.\nAnswer: -48*g + 162*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 15. Let l(y) = 8. Let d(g) = -11*l(g) - 6*r(g). Let v(c) = 12*c - 5. Calculate -5*d(o) - 2*v(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66112531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 788 + 448 = -249 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3)*1*(-22)\/(-33)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3825658 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4884 - 2071. What are the prime factors of h?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-46))**(-7\/8)*v**(-7\/13)\/v**(6\/19))**(12\/11) assuming v is positive.\nAnswer: v**(116769\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1879\/4 + 16975\/36. Is i bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q + 1242 = -1951 - 635 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -7673.9 to the nearest 100.\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158.4 * -2.6.\nAnswer: -411.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26*44\/(-160) - (-4)\/(-10). Factor -3\/4*j**4 + 21\/4*j + 15\/4*j**3 - a*j**2 - 3\/2.\nAnswer: -3*(j - 2)*(j - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23207 * 0.1.\nAnswer: 0.023207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g + 16. Let i be u(-4). Let y(j) = j**2 - 7. Let z(k) = k**3 + 16*k**2 + 39*k + 29. What is the remainder when z(-13) is divided by y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91169231977*p - 91169231977*p + 49*p**2.\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28565 and 1970?\nAnswer: 57130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 21*p + 844800 = -9*p. Round p to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 11:24 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 1 - 2*t + 1. Let f be s(3). Let i(v) = 3 + f*v + 0 - 1 + v**2. Give i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 + p**2 + 3*p**2 + 19*p - 5*p + p**3 to the form g*p**2 + y*p**3 + k + r*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 14*n - 4. Let a(b) = b**2. Let q(d) = -3*a(d) - h(d). Let g = 38 - 45. Let o be q(g). Solve -z = -o*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127226*t**4 - 127227*t**4 - 494*t**2 - 224*t**5 - 238*t**2 wrt t.\nAnswer: -13440*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -410969 or -410967?\nAnswer: -410967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 6:58 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18\/96 + (50040\/1040)\/((-36)\/(-78)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202718 less than or equal to -202718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-1 - 4 - (-9 + -9 + 14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969466 is divided by 1354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 34\/9*y**3 + 8\/3 - 32\/9*y - 2*y**2 - 2\/9*y**5 - 2\/3*y**4 = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -901, 62 in increasing order.\nAnswer: -901, -29, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)\/(k*((k**(-2\/49)*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-831\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.57 - -3.54. Let f = -0.07 - -0.04. Let z = n - f. Sort z, -0.2, 3\/5 in decreasing order.\nAnswer: z, 3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-105))\/(80\/(-200))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2568, 2565, 2562, 2559, 2556, 2553?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, -3\/5, 1\/4, 0.11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) -3 (b) -122 (c) 0.01 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 72*r + 55 + 91 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 31. Suppose -5*v = 3*s - y*v - 126, -5*s + 210 = 5*v. Let n = s + -40. Solve n = -d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005808 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29455 and 103845?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1059, -5960, -4.\nAnswer: -5960, -4, 1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -425.949 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.3 - 51.3. Let r = f - 78. What is the biggest value in r, -0.5, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86329.52 kilograms in milligrams?\nAnswer: 86329520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 113356*u**2 - 28*u + 17. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1. Let z(u) = -4*u**3 - u**2 - u - 1. Let x be z(-1). Let m(s) = -4*s**3 + 2*s + 4 + 4*s**3 - s**x - 4*s. Determine m(y) - 3*p(y).\nAnswer: -y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147588981 to the nearest integer?\nAnswer: 12149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 9*o - 24 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8900 = -446*h - 11616 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 27 = -3. Suppose l*b - b - 200 = 0. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3953 = -3954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -16237?\nAnswer: 16224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464357.\nAnswer: 3, 488119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -6) + (3 - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -51*3*(-9)\/27. Let c be ((-1)\/3)\/(1\/h). Let i be (10\/15)\/((-1)\/(-9)). Let l(t) = -8*t**2 - 7*t. Let y(w) = -23*w**2 - 20*w. Determine c*l(k) + i*y(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129806 (base 13) to base 4.\nAnswer: -1231300022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 14 - 6*o - 3*o to the form l + k*o and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -4 in decreasing order.\nAnswer: 4, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136947682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 568 - -392. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -7) + -29 + 24. Which is the biggest value? (a) -2\/13 (b) 0 (c) -0.5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -25*w**2 - w - 1. Calculate o(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222124661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - 3*c = 40, 5*p + 2*c = 15. Suppose -p*h + 6*h = 307. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 82. Let d be n(28). Let i be (d\/(-3))\/(-1) + 148\/6. Suppose 4*t - i + 0 = 0. Calculate the smallest common multiple of t and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 59*z**2 - 5*z + 297. Let i be k(59). Solve -10*a = -i*a + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8843 = -i - 8880, -16*v = -5*i + 103 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203111320 (base 4) to base 8.\nAnswer: -432570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.9. Suppose -c - 10 + 11 = 0. What is the closest to z in c, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*k**2 - 2)*(49*k - 366 - 238 + 714) to the form j*k**3 + i*k**2 + w + b*k and give j.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 0*v**2 + 1\/20*v**5 - 1\/8*v**4 + 0*v + 2 - 1\/120*v**6 - 4\/3*v**3. Let m(q) be the third derivative of t(q). Factor m(r).\nAnswer: -3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = 3*o + o, 4*y + 12 = 0. Let k = -48 - -527\/11. Which is the second smallest value? (a) 2\/5 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2021 + -312131130?\nAnswer: -312133211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/21 or 826?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -1\/6*z**3 - 41\/6 - 13\/2*z**2 + 27\/2*z = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462196.\nAnswer: 2, 7, 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Suppose -3*j + j - 4 = 0. Let g be k(j). Differentiate 0*b**4 + 4 - b**g - 5 wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 45 = -z, 0 = 3*c - 0*z - 3*z - 135. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3689 + -0.1611. Let y = -0.73 - i. Let u = y - 2.8. Which is the third biggest value? (a) -2\/13 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*u - 18 = -92*u. Sort 12, -2, u, 7 in descending order.\nAnswer: 12, 7, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srmhhmrrssymw. What is prob of picking 1 h and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 203*u - 202*u + 2, -4*u = -4*w + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4, 0*b - 2*a - 8 = 4*b. Suppose b*q = -7*q + 154. What is the remainder when q is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11537\/18 - -637. Find the common denominator of o and 281\/(-38) - (13 + -20 - -2).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 4*k + 1. Let y(v) = -2 - 34*v**2 + 132*v - 139*v - v**3 + 72*v**2 - 35*v**2. What is -5*h(r) - 3*y(r)?\nAnswer: 3*r**3 + r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n + 12. Suppose 739 = -0*y + n*y + 4*f, -2*f = -y + 263. Calculate the highest common divisor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209 times -0.9?\nAnswer: 1088.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + 1. Suppose 7 = -14*x + 91. Sort x, 5, j in ascending order.\nAnswer: j, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - 4*p**2 + 3*p. Let a be o(2). Suppose -2*d - t + 31 = 4*t, -a = -2*d + 2*t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 20 - 2)*((3*t**2 + 2*t**2 - 4*t**2)*(-4 + 3 - 1) - 41 + 73 - t**2 - 34) + (2*t - 4*t - 2*t)*(6*t - 2*t - 2*t).\nAnswer: -80*t**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f**2 + 14260*f + 3951. Determine n(492).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3 - -4) - 0. Let l = z - -4. Sort l, 0, 4 in ascending order.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1713, -7024, -15931, -28434, -44533, -64228, -87519?\n\"Answer: -1798*s**2 + 83*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1037*c**5\/20 - 1892*c**2 + c + 1529. What is the first derivative of w(u) wrt u?\nAnswer: 3111*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/4946 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26848.1 - 26848. What is the biggest value in y, 0.5, -6, 42\/11?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 65.04138 micrograms?\nAnswer: 65041.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/2 (c) -9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2*v. Factor 2\/5 + v*r - 2\/5*r**2.\nAnswer: -2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:21 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3215 + 51?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 4. Let d(b) = b**2 - 6*b - 16. Let n be d(-3). Let g(q) = -n + 16 + 17*q - 18*q. What is -4*f(k) + 3*g(k)?\nAnswer: 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 4:00 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (60\/84 - 54\/252)*1\/(-8)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1*(-1)\/(-2). Let o = -32 - -33. Is d greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(2\/10). Let k be (t\/(-4))\/((-2)\/523). Let b = k - -130. What is the third smallest value in b, -5\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 11 = 4*m - 2*x, 2*m - 10 = 2*x. Suppose o = u - 2*u, -12 = -u + 3*o. Let j = 20\/7 - u. Sort 3, m, j.\nAnswer: j, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3828\/(-4872))\/((-132)\/936)?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235205613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 280 = 0. Calculate the greatest common factor of 98 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.222649?\nAnswer: -4.777351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/(46\/(-69)) + (-1211)\/14.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -385 less than or equal to -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1026, -3145, -5262, -7377?\n\"Answer: b**2 - 2122*b + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101011 (base 2) to base 4.\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-24 + 66) - (-3 - (4 + -14 + 7))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (6\/(-21) + (-24)\/14). Let x = 1 - 0. Sort x, -1, n.\nAnswer: -1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1231*5.\nAnswer: 6155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2057) - (0 + sqrt(2057)*1) - (0 + sqrt(2057) - sqrt(2057))*-1) + -1*(2 + sqrt(2057) + 5 - (4 + sqrt(2057)*2)))**2.\nAnswer: -132*sqrt(17) + 2093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43574 + -3379. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1341 - -145.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41595 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 2. Let l be b(2). Let z = l - -6. Suppose -14 - 10 = -z*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1412232 divided by 1304\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4496.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - i**2 - 43*i**3 - i**2 + 42*i**3 + 1 to the form n + b*i + d*i**2 + f*i**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9015514583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 9*j + 6. Let k be (-108)\/(-3) + -3 + 0. Suppose -5*x - 2 - k = 0. Give s(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 43*q - 127. What is t(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 6 - (-2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279214 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-22140993.\nAnswer: -6642297.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21861 - -20468. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 10 - 10*s**2 - 3 + 13.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 3 - -16 - -6) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 844512211 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 127783 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329405 at most as big as 330919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979592 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvtt when four letters picked without replacement from {t: 5, v: 2, f: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.23 less than -1445?\nAnswer: -1475.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -203. Let z(x) = 3*x + 1. Determine z(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 161\/15, 1\/2, 0, -0.3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/6*-3 - 1. Let j be 27\/3 - (1 + (-1 - -2)). Let g = j - 0. What is the greatest common factor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1159, 0, 1 in descending order.\nAnswer: 1, 0, -1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258, 253, 246, 237, 226?\n\"Answer: -h**2 - 2*h + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let n = o + -1. What is the biggest value in 5, n, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*l + 2 + 0*l + 2*l**3 + l**3 to n*l + q*l**3 + g*l**2 + h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 14*b = -22, -2*g + 1359*b - 1357*b = 42 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(3 - 3 - 2*k) + (5 - 5 - 3)*(-7 - 9*k + 7)*(-14 + 35 - 14).\nAnswer: 191*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -105, -132 in descending order.\nAnswer: 3, -105, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.602 - 1.260139564?\nAnswer: -0.658139564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -505, -1026, -1545, -2062, -2577?\n\"Answer: a**2 - 524*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 100*y - 8958. What is u(157)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(-1 + sqrt(1331)) - sqrt(1331) - sqrt(1331)) - ((sqrt(1331) - (sqrt(1331) - 6*sqrt(1331)*2)) + 5))**2*-4.\nAnswer: -3882796 + 47520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/4 - t**4 - t**3 - 3*t**2 + 103*t. Let k(m) = 2*m**2 + m + 1. Let o(j) = b(j) + 6*k(j). Give o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-1*sqrt(108))*-5.\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*w**3 - 1 + 2*w**4 + 3*w + 68*w**3 + 55*w**3 to c*w**3 + z*w**2 + b*w + t*w**4 + s and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + c - 16, -3*b + 5*c + 41 = 93 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 4*z)*(-2 - 2 + 2) + 10 - 3*z - 11 - z.\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/262338 and -47\/230?\nAnswer: 1311690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 573, 1311, 2349, 3687, 5325?\nAnswer: 7263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:23 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 930, 578, 226?\n\"Answer: -352*d + 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let o = -2312 - -2674. Suppose -3*d + o + 294 = y*v, 0 = -5*v - 2*d + 1640. What is the highest common factor of 41 and v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 1. Suppose -2*c + 6*z - 2*z - 26 = 0, 0 = -c - 2*z + 3. Let b(v) = 6*v**2 + 1. Let s be (12\/(-45))\/(2\/3)*-10. Calculate c*r(u) + s*b(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 15.726, -2.\nAnswer: -2, 15.726, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.126 and -167.\nAnswer: -21.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(8*m - 3*m**2 - 8*m + (-2 - m + 2)*(2 - 2 - 2*m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3785 - 54\/(-6). Suppose -c + 13*i - 10*i + 1898 = 0, 5*i + j = 2*c. List the prime factors of c.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/16)\/(1\/8). Suppose -3*v + 21 = a*z - 28, 0 = -4*v - 5*z + 77. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 1. Let o be r(8). Suppose -i = 2*i - o. Let l = 4\/3 + -5\/6. Which is the nearest to -1\/3? (a) -3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6600138 is divided by 337?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x. Let q(l) = -39*l**2 + 1. Determine d(q(z)).\nAnswer: -468*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:55 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.378 + -0.068. Let a = 0.01 - q. Let f = -7.9 + 8. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:34 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Let h(r) = 3*r - 4. Suppose 2*m - 12 = 4*x, 62 = -5*x - 5*m + 77. Give x*f(d) - h(d).\nAnswer: -3*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*y + 126, 3*f + 4*y + 1383 = 1544 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 4*u + 4. Let g(v) = 13*v**2 + 8*v + 8. Suppose -11*b + 9*b + 152 = 0. Let z = b + -70. Let a(p) = z*g(p) - 11*t(p). What is o in a(o) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*t**2 - 2 - 1908*t + 3804*t - 1903*t + t**3 as m*t**2 + j + a*t**3 + c*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(18\/3). Let m = -6 - -5. Which is the nearest to -2\/7? (a) m (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:25 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.534*268\nAnswer: -143.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let f(d) = -58110801*d. Calculate f(o(i)).\nAnswer: -174332403*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/22 + (-4 - (-184)\/44) + -85. What is the closest to 0 in -3, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - (-9 + -1 + 35 + -33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*p - 3*p = -14, 3*p + 6 = 0. Let x be (-6)\/30 - k\/10. Put x, -3, -2 in increasing order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 293*d**6\/60 - 30*d**3 - d**2 - 87. Find the first derivative of c(k) wrt k.\nAnswer: 1758*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -c8f?\nAnswer: c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:49 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 769661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44230121 (base 5) to base 8\nAnswer: 1354271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*h - 0*h + 25, 5*h = -5*i + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Suppose 5*u + 4*c = -29, -14 + 9 = 5*c. Put k, u, 2, 11 in decreasing order.\nAnswer: 11, 2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56011525 (base 8) in base 3?\nAnswer: 211200220010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -14 + 10 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 6 = -6*s. Let v be (-3)\/(-7)*(-21)\/s. Put 1, v, -1 in descending order.\nAnswer: v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, -9 in increasing order.\nAnswer: -9, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.118751478 to three decimal places.\nAnswer: -1.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*d*l**4 - 3*d*l**2 - 35*d*l + 2*d + 100*l**3 - 4*l**2 + 1809*l + 1 wrt l?\nAnswer: 444*d*l**2 - 6*d + 600*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972034.17 rounded to the nearest 10000?\nAnswer: 2970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 65 = 738. What are the prime factors of x?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24*p. Let k(b) = 390*b**2 - 194*b**2 - 195*b**2. Determine k(d(i)).\nAnswer: 576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a = 25*a + 378. Let m(z) = -16 + a + z**3 + 3*z - 5*z**2 - 4*z - 1. Suppose 5*r = -l + 4*l, -5*r - 4*l = -35. What is m(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2030 + -80259?\nAnswer: -78229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 19. What is i(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0526 - -0.0474. Which is the closest to 0? (a) 0 (b) f (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 31 - 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 132. Calculate the highest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 119*p**2\/2 + 5*p + 13. Let t be r(1). Suppose 5*q - 11 = t. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 79 = d - 5*n, -n = 4*d - 103. Suppose -d*g = -37*g + 20. Which is the closest to 0? (a) -2\/7 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 274, 2, -1\/4, 135, 17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-2*4)\/(sqrt(108)\/(sqrt(441) - sqrt(9))).\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, x: 6, p: 2, j: 1}. Give prob of sequence jtx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 + 8*a**2 + 31*a + 6. Let b(u) = -u**3 + u**2 + u - 2. Let y(f) = -4*b(f) - o(f). Let r be y(-5). Solve 3*s + 5*w = -r - 21, -4*w = 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -9, -36, -95, -198, -357, -584?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 + 17753?\nAnswer: 17674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 20*u**2 + 15. Let j(o) = -2*o**2. Give v(j(q)).\nAnswer: 80*q**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 35. Let b = -1\/3 + -1\/6. Sort -2\/9, a, b in decreasing order.\nAnswer: a, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34506*c**3 - 3*c**2 - c - 58532 wrt c.\nAnswer: 207036*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 358693894.99795 - 5?\nAnswer: 358693889.99795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 6. Let n = 8 + -8. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*w = 14, 0 = 5*d - w + 4 - 10. Suppose 3*g + 20 = -d*b, 2*b + 20 + 16 = 5*g. Let x = b + 27. What is the remainder when 69 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16766, -33538, -50316, -67100, -83890, -100686?\n\"Answer: -3*x**2 - 16763*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:59 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010 and 1311405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 24. Let y = o + -16. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13309.5917 rounded to the nearest 10?\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 7*q - 5. Let g be o(6). Suppose -2*n = g - 9. Let p = -2 - n. What is the least common multiple of p and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsfcccxc. Give prob of picking 1 f and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/119, 0.3, -1\/3, 1?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - -3 - (11 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33*(-132)\/(-45) + (-8)\/10. What is the greatest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 63*u**2 - 32*u + 25. Give b(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5 + 75*o**4 - 427*o**3 + 909*o**2 - 832*o + 276 = 0.\nAnswer: 1, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -262*h - 6374. Is x(-55) a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1266 - 897. What is the tens digit of (5\/(-15))\/((-1)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (108\/48)\/((-6)\/16). Let b(a) = -8*a + 2. Does 50 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9690*y**2 + 38764*y + 3. Calculate u(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 4\/47, 5, 2891, -0.4, -5\/3?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -12) + -20 + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2565080, 2564988, 2564898, 2564810, 2564724, 2564640?\n\"Answer: b**2 - 95*b + 2565174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 196.\nAnswer: 470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from oouuuuuuouuoouuuuo?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Suppose l*i = z - 24, 2*z = -2*i - 2 + 38. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.074 + 0.046. Sort -0.5, 1\/4, d.\nAnswer: -0.5, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/23936 and 63\/352?\nAnswer: 23936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 3*y - y + (y + 0 + 0)*(1 - 2 - 1) + (5*y - y - 2*y)*(-2 + 1 + 0) - 3*y + 7*y + 18*y as c*y + t and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-3\/7)*g*g*g\/(g\/((g\/(g*g**4*g))\/g))*((g*g**(-1\/4)*g*g)\/g*g)**(-32) assuming g is positive.\nAnswer: g**(-640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n + 11. What is the units digit of o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 22, 52, 86, 124, 166, 212?\n\"Answer: 2*a**2 + 20*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.09 - 0.91. Which is the third biggest value? (a) k (b) -1\/9 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 + 2*a - 5. Let v = 73 + -70. Suppose -8*c + 28 = -4*c. Let g(k) = 12*k**2 - c*k**2 + 0*k + 3 - k. What is v*l(z) + 5*g(z)?\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 22729 - 103537 - u**2 - 198369.\nAnswer: -2*u**2 - 279177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2 and 41\/395276?\nAnswer: 395276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 15*q**2 + 29*q\/2 - 89\/3.\nAnswer: (q - 1)*(q + 2)*(q + 89)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -987 + 15819\/16. What is the common denominator of t and -69\/764?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*1 - (-3025)\/(-363). Which is the nearest to -0.03? (a) 0.5 (b) n (c) 3\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/(-24))\/((-2)\/3). Let y(k) = 3*k**2. Let c be y(t). Solve -2*w = w + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let h = t + -4. Suppose -5*f = -h*q + q - 4, -2*q + 8 = -f. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -330 + 332. Suppose -2 = -r*w, -3*w = 2*o + 2*w - 627. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1283815\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (1\/(-19))\/(4\/328). What is the smallest value in x, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 226 - 46 = -a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 4*j + 1. Let n be d(3). Let s = -4 + n. What is the units digit of (-15)\/(-3) - (1 - s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/18 - 1496\/(-6336). What is the closest to u in 2.2, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 611*b + 21. Let s be g(5). Suppose -5*l = -u - 14469, -4*u + s = 5*l - 11373. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {m: 2, b: 4, u: 2, k: 2, p: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368426593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 26 = n, 4*w + 6*n - n + 24 = 0. Let l = -9 - w. Find the first derivative of -10*y**2 + y**2 - 7 - 4*y**l - 8 wrt y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 2494.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1509*q + 2973. What is i(2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*x + 65 - 69 = 0, 5*q = -22*x + 108. Which is the closest to 1? (a) 662 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 6*c - 216. Let n(z) = 4*z**2 + 7*z + 89. What are the prime factors of n(c)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7576.7 or -4.3?\nAnswer: -7576.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1534, 1533, 1532, 1531, 1530?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 68543 * 0.8812\nAnswer: 60400.0916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 + 510*n + 43350.\nAnswer: 3*(n + 170)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90204*j**2*y**5 + 61410*j**2 + j*y**2 + 2*y**3 wrt y?\nAnswer: -5412240*j**2*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 1.1. Let y be (-1)\/(-3*(-4)\/(-48)). Let k = 3.009 - 0.009. Which is the biggest value? (a) s (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let a(i) = -i**3 - 8*i**2 - 7*i + 3. Let x be a(-7). What is the third derivative of -9*t**x + 2*t**2 - 8*t**2 + 0*t**s + 3*t**3 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4448 (base 10) to base 6.\nAnswer: -32332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*j + 17980 = -1086*j for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 452\/4294 - 59\/19\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64147\/3 - -21390. Is w > 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241930031 is divided by 1994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 11*r**8\/28 + r**4\/6 - 15*r. Find the third derivative of j(w) wrt w.\nAnswer: 2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(2592)).\nAnswer: -18 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433006410*d**5 + d**3 + 9694*d + 21778 wrt d.\nAnswer: -8660128200*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 223\/2*(-100)\/(-25). Suppose -11*k + 9*k = -r. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times 42197?\nAnswer: -1223.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 332140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 10*d - 2 = 3*a, 0 = -5*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 6*n - 11*n - 3*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8498)\/(-12))\/(18\/(-42)). Let g = d + 1653. Let q = -5711\/4 - -1420. What is the common denominator of g and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 2. Let g(v) = v**3 - 3*v**2 - 7*v + 5. Let i be g(4). Let c be ((-16)\/14)\/(2\/i). What is the remainder when 39 is divided by y(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*c + 3*t - 1, 5*c + 3*t + 15 = 0. Let q = 0 - c. Suppose q*f = -3*p - 3*f + 30, 5*p - 2*f = 29. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230516528*d*y**3 - 3*d + 3*y**2 - 22371*y wrt y.\nAnswer: -1383099168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 13*m + 22. Let o be t(12). Solve 3*z = 4*z - 5*f - o, -3 = -z - 2*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/4 - 1769049*v\/4 - 442262 = 0.\nAnswer: -1769048, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*u + 7840 = -25*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + 17*m - 25*m + 2)*(4*m - m - 4*m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-315)*-35*-3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128)*-3*-2 + 2*-3*sqrt(128))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 3631088725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1560 and 260881530.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/23 - 11498*a**2\/23 + 17359398*a\/23 - 2365989102\/23 = 0. Calculate a.\nAnswer: 151, 2799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 9*b - 187 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -3*y**6\/20 + 3*y**5\/10 - y**4\/4 + y**3\/9 - y**2 + 1. Let m(u) be the second derivative of n(u). Factor m(o).\nAnswer: -2*(3*o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 2*w + 17. What is the units digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17028183 and 43851.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 164941695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558, -559, -560, -561, -562, -563?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41946, 167756, 377432, 670974, 1048382?\n\"Answer: 41933*c**2 + 11*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 7 + 14. Let i(q) = -q + 5. Let r(b) = -5. Let v(y) = 6*i(y) + 5*r(y). Let w(k) = -13*k + 11. What is x*v(c) + 3*w(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017756069 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 3925082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(2*sqrt(72)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -2 + -57 - (94 + -63)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m - 30. Is 15 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + q = 4*c - 34, 5*c + q = 54. Let n(p) = c*p + 5 - 2*p + p. Let x(b) = 5*b + 2. What is -3*n(i) + 7*x(i)?\nAnswer: 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 17 = 6361*y - 6364*y, -5*y = -2*c + 11 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5322762.\nAnswer: 2, 3, 31, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2793253\/465 - -6007. Suppose 0 = 5*y + 4*u + 12, 3 = 4*y + 6*u - 7*u. Does g = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*h = 366*h - 176*h - 14850. What is the highest common divisor of 396 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 3*u**4 + 5*u**4 + (-14*u**3 + 0*u**3 + 0*u**3)*(-3*u - 9*u + 3*u).\nAnswer: 133*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b - 55. Let n(o) = -5*o**2. Give n(j(v)).\nAnswer: -845*v**2 + 7150*v - 15125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let q be j(4). Suppose s - q = 2. Sort s, -5, -1.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w, 0*v + 5*v = w - 12. Let b be (8\/2)\/((3 - 2) + v). Let n be (-6 + b)\/((-4)\/(-19120000)). What is n rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) 4\/3 (c) -0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, b: 1, h: 4, x: 1, p: 5}. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 122210221002020?\nAnswer: -122210221002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -138*q + 240. Let l(u) = u - 3. Let p(w) = b(w) - l(w). Differentiate p(h) with respect to h.\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 + 6*a**2 + 3*a + 6. Let r(v) = -v**3 + v**2 + 2. Let b(x) = -3*r(x) + t(x). What is b(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1b4 (base 15) to base 4.\nAnswer: 20111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:47 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3286)\/(-682) + (-2)\/(-11) + 0. Solve -5 = 5*u + j*h, 4*u - h = -0 - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - u - 2, -31*s - 4*u = -36*s + 25. Which is the smallest value? (a) 2\/23 (b) -1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - d**2 + 3 - 4)*(120 + 116 - 102)*(-7 + d + 7) + (3*d**3 + 3*d**3 - 4*d**3)*(0 + 0 + 2) in the form u*d**3 + y*d**2 + n + b*d and give b.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-2\/23))\/s)\/s)\/(s*s\/s**14))\/(s\/(s\/(s*s*s\/(s\/(s\/((s*s**(-5)*s)\/s))))))**(-7) assuming s is positive.\nAnswer: s**(1382\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 2 = 0. Suppose 13 = 5*u + 2*l, -2*l + 2 + b = -4*u. Let p be 100\/45 - 4\/18. What is the greatest common factor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 462 - 759 = 0. Let y(o) be the second derivative of -19\/20*o**5 + 0 + 0*o**3 + 29\/12*o**4 + 0*o**2 - n*o. Find the third derivative of y(u) wrt u.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**5 - f**2 - f**2 - 2*f**2 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 22. Let d be y(14). Suppose -d*s = -14*s + 8. Solve 16 - s = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212 - -323. List the prime factors of v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 20*u + 23. Let c(r) be the second derivative of 7*r**3\/6 + 4*r**2 - 2*r. Let z = -470 + 489. Suppose 5*b = z*b - 84. What is b*h(i) - 17*c(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -22 + (6 - -10) - 28?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 629*f**3 + f**2 - 3*f + 2. Let n be h(1). What is the highest common divisor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:38 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) - (-65)\/2. Let m = -54 + y. Is (0 + m)*(0 - 1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 + 218. Suppose -o - 5 = 4*j - a, 18 = 5*j + 2*o. Solve j*w + 25 = 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -0.8. Let i = u - 7. Let r = i - 0.2. Is -3 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6646, 6648, 6650, 6652, 6654, 6656?\n\"Answer: 2*q + 6644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276076, 276125, 276256, 276511, 276932, 277561, 278440?\nAnswer: 279611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -37, -4, 91 in descending order.\nAnswer: 91, 6, 0, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -661, -979, -1451, -2077, -2857, -3791?\nAnswer: -4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 9*y - 2*x = 10, -y + 5*x = -19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l = 1387*l - 9212 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - ((1*sqrt(84)*-5 - sqrt(84)) + sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84))*-2)\/(5*(sqrt(768)*-3 + sqrt(768))).\nAnswer: 7*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.7. Let h = w + -1. Let q = 184\/3 + -62. What is the nearest to 2\/3 in q, h, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 - (-2 + 3). Let q be (-18)\/30 - (-18)\/5. Suppose q*f + 10 = -5*s, -2*f + 5*s + 10 = -4*f. Put 4, t, f in descending order.\nAnswer: 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755 + 9061\/12. Put -0.2, 1.8, -1\/3, h, -4\/9 in ascending order.\nAnswer: -4\/9, -1\/3, -0.2, h, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (16 - -13 - 35 - (-5 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 15*m**2\/2 + 13*m - 647. Let d(a) = -7*a - 6. Calculate 9*d(q) + 4*h(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*v - 3*b, 5*v + 8 = -2*b + 20. Suppose o + v*o - 3*p = 21, -5*p = 0. Suppose -2*l - 4 = -4*r, -2*r - 3 = -4*l + 1. Solve o*u + 20 = r*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 4, 1, -2 in descending order.\nAnswer: 4, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 1079.5, 0.3, -63?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 6*r**2 - 9*r - 1. Suppose -9*c = -5*c - 196. Let i = -22 + c. Calculate the remainder when k(-6) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 21*i + 3. Let y be l(7). Suppose 228 = 5*j - 3*a, -5*j + y = -4*a - 79. Is j bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let k be w(-6). Let m(s) = -7*s**3 - 11*s**2 + 6*s + 2. Let f(z) = 4*z**3 + 6*z**2 - 3*z - 1. Let c(i) = k*f(i) - 3*m(i). Calculate c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -25. Let c be 2\/2 - b\/(-4). Let v be (50*-4)\/(c\/32). Round v to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*h = -21, v - 5*v = -3*h + 1. Suppose v*d + 11 = -139. Let p be 10\/d*9*(-30)\/9. What is the greatest common divisor of 36 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(117)*3)**2 - sqrt(117)) - (sqrt(117) + (sqrt(117)*1 + 5 - sqrt(117))))*-3.\nAnswer: -3150 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665369?\nAnswer: 7, 37, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 5*f - 1. Let n be x(2). Let q = 1.3 + -6.3. Let d = q + 9. What is the nearest to n in d, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*y**2 - 144*y**2 + 0*y + 0*y + 287*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256409 is divided by 2215.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/3)\/(l**(-5)*l))\/(((l\/l**10)\/l*l)\/(l*l*l**(-4\/9)*l*l*l)) assuming l is positive.\nAnswer: l**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2, -2\/13, 0.5, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 - 5*q + 5. Let u be f(6). Let p(n) = n**2 - 12*n + 14. Give p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*(-1)\/(-4). Let f = 8 - 6. Let q be (-6)\/7*1\/3. Which is the closest to d? (a) q (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 9*f**2 + 29*f - 15. Calculate the remainder when 548 is divided by h(-12).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3\/(18\/(-4)). Let w = 671.46 + -670.96. What is the nearest to q in w, 1\/6, 31?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11020 + 10?\nAnswer: 11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/60)\/(1\/3*9\/(-6))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 11*y - 38. Let v be a(-8). Suppose -v*w = 166 - 664. List the prime factors of w.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - ((-8)\/(14 + -86) + (-1472)\/(-36))) + 3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4875272*b**5 - 11546*b + 15?\nAnswer: -97505440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5358954 decades?\nAnswer: 0.05358954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 7:30 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*z - 288*z = 2*f - 5, -9 = 3*z - 2*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -477d7 - 685?\nAnswer: -4807c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 34.99999401. What is t rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*c - 7, -1 + 12 = 5*c + i. Let y(a) = -3*a**2 - 2*a - 2. Let h(v) = 47*v + 6*v**2 + 49*v - 93*v - 2*v**2 + 3. What is c*y(m) + 2*h(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2531*v - 2580*v = -245 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93189\/16690 + 55\/3338. Solve -4\/5*j**3 + 68\/5*j - 36\/5 - b*j**2 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 3*m + 6*m + (2 - 5 + 0)*(5*m + 0*m - 3*m) - 290 - 5*m + 141 + 135 in the form q*m + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7073*z + 2*z**3 - 3*z**3 + 834*z + 11.\nAnswer: -z**3 + 7907*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -37 + (2 - -8) + -7. Let x(z) = -17*z + 185. What is the hundreds digit of x(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3925397200?\nAnswer: 2, 5, 9813493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1829\/12586 - ((-5049)\/(-238) + -21).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 11*s + 324. Give y(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20638, -20646, -20654?\nAnswer: -20662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -844 divided by 4\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*p - 5*r = 293*p + 14862, -5*p = -3*r - 74310. What are the prime factors of p?\nAnswer: 2, 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -120*z**3 - 16*z + 68. Let t(i) = -i + 1. Let j(h) = 3*g(h) - 48*t(h). What is the first derivative of j(y) wrt y?\nAnswer: -1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 57, -46\/17, 31, 0 in ascending order.\nAnswer: -46\/17, -1\/3, 0, 31, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10332.4422 to the nearest ten.\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27369bb + -4?\nAnswer: 27369b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10823138?\nAnswer: 2, 5411569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:13 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Suppose -2 = s - 2*s - v, -s + u*v = -14. Suppose -49 - s = -r. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmppppnppwmppw. Give prob of picking 1 n, 2 w, and 1 m.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**5 + 19275*v**4 + 35277*v**3.\nAnswer: 3*v**3*(v + 1069)*(6*v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 115. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (31 - (14 + 9 + -6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {m: 1, s: 1, i: 3, l: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -451 + 502. Let q be 17\/t - (-946)\/6 - 6. Calculate the greatest common divisor of 95 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - 114*(-5)\/1665*6.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 283*a**2 - 190*a - 6. Let h(z) = 1414*z**2 - 952*z - 32. Let b(u) = -3*h(u) + 16*l(u). What is the second derivative of b(y) wrt y?\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:22 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-25)*(-25)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/9 + (-59 - -75).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11202466 + 5?\nAnswer: -11202461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/144903331 and 15\/180172?\nAnswer: 579613324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiilbbjtwib. What is prob of sequence ij?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3230 = -4*n + 36754. Suppose 4*z - 4894 = 2*l + 1790, 4*l = -5*z + n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15812 = 64*z - 63*z. Suppose -4*q + 5*o = -z, 2*q + 4*o - 7936 = -o. Suppose -q = 3*v - 5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 111 - 76 + 381*y - 186*y**2 - 3*y**3 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 21*s - 22. Is a(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*b + 8 = -h, -4*h + 5*b = 10. Let v = -1 - -4. Suppose v*z = -h*z + 6. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2841*t**5 - 6*t**2 + 7.\nAnswer: 170460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3791 + -0.5869. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2611 = 3*q + 2599. What is the lowest common multiple of q and 978?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 70 (b) 0 (c) 104.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 4*w + 0*w**2 - 11\/6*w**3 + 0. Let z(d) = -d**2. What is u(z(f))?\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -53. Suppose -b*n - 4*t + 596 = -5*t, 0 = 5*n + 2*t - 732. Let z = -65 + n. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*f = -658*f - 14280 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637) + 2 + -5 + 4*(0 + (sqrt(637) + -2 - sqrt(637)))**2.\nAnswer: 11 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (4 + (-2 - -6) - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/995 or 58?\nAnswer: -28\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 537 + -13\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.5, 17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let q(k) = 14 + 11*k + 28*k - 14. What is f(q(h))?\nAnswer: 1521*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d0b (base 14) in base 15?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3239, -13267, -29981, -53381, -83467, -120239, -163697?\nAnswer: -213841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let b = 0.95 + s. What is the nearest to 2\/7 in b, 2\/7, -1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 294 + -295.6. Let i = 15.4 - 17. Let w = j - i. Is w < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t**2 + 0*t**2 + 2 - t**3)*(-3*t - t + 2*t).\nAnswer: 2*t**4 + 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 84. Let w be x(13). Suppose 2*s = 4*h + s - 32, 2*h - 30 = 4*s. Let p(u) = 3 - h + u**2 + 6 + 4*u. Give p(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -12. Suppose 8*y = x*y + 168. What is the greatest common factor of 28 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-77)\/21. Suppose 48 = -l*n + 156. Solve 5*t - 4*h = n, 3*t - h = -3*h + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqm when three letters picked without replacement from {u: 1, j: 2, m: 1, q: 5, x: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 187 - 554 = -26*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1640899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -219, -72, 133?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-14 - -4 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (475\/(-15)*-1)\/((-34)\/(-9180)*150).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 896817451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = y + 4*d, 11 = 2*y - 5*d. Let l be 0\/(2*(-1)\/y). Let z = 3 + -2. Which is the third smallest value? (a) 4 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, -3, 4 in increasing order.\nAnswer: -21, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6036564 (base 7) to base 2\nAnswer: 10101110101010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzv when three letters picked without replacement from zzgzzvvzzzzgzz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.64 - 16. Let f = k - 2.64. Which is the closest to 0? (a) f (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2305938 to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from fufueaeueaaxfafaxuax.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**3\/3 + 7*w**2\/2 - 9*w - 23. Let p(l) be the first derivative of v(l). Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(2 - 2*n - 2) + 1 - 1 + 2*n + (-3 + 1 + 0)*(5*n - 4*n - 3*n) + 5*n - 2*n - 4*n - 45*n + 116*n - 14*n.\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7005*b + 43. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22775472 to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -526773 (base 11) to base 5.\nAnswer: -203442300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) 297 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -5194?\nAnswer: -31164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*d + 743, 2*n = 4*n - 2*d - 482. Suppose 0 = -4*h - 11 - n. Let j(i) = -64*i**3 + i**2 - 1. Let m be j(1). Is m at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 60 = -18*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/21626 and -57\/70?\nAnswer: 756910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*u - 34 = 0, 4*l + 33 = -3*u - 7. Let h be 1188\/42 + 2\/l. Suppose 0 = -5*s + 3*s + h. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*2)\/sqrt(4) + sqrt(847) + 1*sqrt(847) + (2*sqrt(252)*3 + 0)**2.\nAnswer: 24*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x + 16. Let u(c) = 3*c - 3. Suppose -30 = 8*a - 3*a. Let t(g) = g - 15. Let v be t(0). Let h be ((-66)\/v)\/(a\/(-15)). Calculate h*u(y) + 2*z(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in 2, 0.5, -2\/13, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029435069 to four dps.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3059671319?\nAnswer: 3059671319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -34862. List the prime factors of m.\nAnswer: 2, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 8*f + (0 - 4 + 2*f + 2 + (0 + 2 - 1)*(42*f - 439 + 439))*(2 + 2 + 2))*(f - f**2 - f).\nAnswer: -272*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0125 times 0.2?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117) + 1)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24\/216 - ((-169)\/351*-228)\/(-2)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26696, -53392, -80088, -106784, -133480?\n\"Answer: -26696*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29551?\nAnswer: 29, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463502 is divided by 3484.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3535 is divided by 353.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 d when three letters picked without replacement from diigtiivkkkd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*l = l + 20, -l = 0. What is the closest to n in 6, -4, 2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/7, 5206, 2\/21, 1\/2, -3\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*b - 4*d = 196*b - 60, 2*d - 10 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -76, -105, -156, -235, -348?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -5, -27, 1\/17, 8, -1\/3, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49830063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52 * -37\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 18. Suppose 0 = l*r + 2*d - 333, 2*r - 186 = -5*d - 57. Calculate the remainder when r is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.6 - 62.8. What is the nearest to 0.1 in 0.3, r, -2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 23*z - 10. Let n(b) = 6*b**2 - 21*b - 9. Let t(i) = -i**3 + 13*i**2 - 21*i - 15. Let u be t(11). Let s(h) = u*n(h) + 3*r(h). Factor s(p).\nAnswer: -3*(p - 2)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 20. Let x be n(-9). Let p = 31 + x. Let k = 0 + p. What is the biggest value in 0.3, k, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 5*x**2 - 3*x - 6. Let h be (-22)\/(-6) - (-3)\/9. Suppose 11 = -3*c - h. What are the prime factors of v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -901 + 1?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27 - 6*x - 8*x + 13*x. Let a be c(22). Solve 14*n - a = 9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 165 - 123 = 0. Let t be 2 + -3 + (-5 - z)\/2. Sort t, 27, -2 in decreasing order.\nAnswer: 27, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-1445)*15*16\/(-48).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.686351l to millilitres.\nAnswer: 3686.351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-50)*5)\/(4\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8 and -32\/31?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 33592*j**2 + 47*j + 0 + 0.\nAnswer: -33592*j**2 + 47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7\/4*28\/98)\/(12\/8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -99*x + 364. Is m(-53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.45 + -3.0301?\nAnswer: -51.4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*d**3*r**3 - 11492251*c**2*d**3*r - c*d**2*r**3 - c*d**2*r**2 - 80699*d**3*r - r**3 + r**2 - 58 wrt c?\nAnswer: -8*d**3*r**3 - 22984502*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.692913 + -0.692913. Let z be 0 + (-18)\/22 - -1. Put k, -0.4, z in descending order.\nAnswer: k, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j**2 + 3*j**2 - 3*j**2. Let u(g) be the first derivative of g**4\/12 - 8*g - 21. Let o(w) be the first derivative of u(w). Determine c(o(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - k)*(-7 - k**2 + 7) - k**3 + 0*k + 0*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:16 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:18 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let o(c) = 146*c**2 + 7 - 638*c**2 + 158*c**2 + 161*c**2 + 146*c**2. What is o(s(i))?\nAnswer: -108*i**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117.3 * 5.\nAnswer: -586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - 590 = 0. Suppose 0 = 5*x + 8 - n. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 9:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 538*k - 1317.\nAnswer: 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-5 - -10) + -10 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102455 + 2?\nAnswer: 1102501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1503*n**2 + 2695*n**2 - 5526*n**2 as u + m*n + s*n**2 and give s.\nAnswer: -4334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 + -242. Calculate the remainder when d is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -41, -93, -201, -383?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 40\/80 + 1\/(-6)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5851 * 0.68.\nAnswer: -3978.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 10:49 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w + 65 + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + sqrt(72)*-2*6)\/sqrt(4))\/(-1*(sqrt(900) + sqrt(900) + sqrt(900) + 1*sqrt(900) + sqrt(900)) + sqrt(900) - sqrt(900)).\nAnswer: 11*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1171\/7 - -167. Let v = 51 + -55. Which is the nearest to k? (a) -1\/2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7455 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 + 2*n - 12. Let x be r(-5). Let d be -9*(-5 + 3 + 1). Suppose -6 = -3*o + 5*f + d, -4*o = -5*f - 15. Sort -4, x, o in increasing order.\nAnswer: -4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c - 8 - c**2 + 9*c + (3 + 2*c - 3)*(2*c - 3*c - 2*c).\nAnswer: -7*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 + -296. Which is the third biggest value? (a) -34 (b) x (c) 2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -118.963. Let t = -5.037 + w. Sort t, 1\/3, -1, -1\/2.\nAnswer: t, -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from hhbbbbhbhbhhb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 10*f**2 - 159*f - 2840. Let u(v) = v**3 + 16*v**2 + 238*v + 4259. Let l(m) = -8*g(m) - 5*u(m). Find the first derivative of l(d) wrt d.\nAnswer: 9*d**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwwpgggpgllwpppgg. Give prob of sequence pwpw.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 630183.2623 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -13\/3, 4, -5, -353, 3, -2.23?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678354429 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3514553 - -230?\nAnswer: -3514323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92\/3 - 31. Let r = 68\/75 - 6\/25. What is the nearest to p in r, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-8)\/(-6)*1197\/266 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10230 (base 4) to base 16.\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**15\/((z*z\/(z*z**(-2\/11)))\/z*z)*(z**(1\/3))**(-21\/2) assuming z is positive.\nAnswer: z**(227\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/7974 and -59\/21264.\nAnswer: 63792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 36, -5, 13, 131 in increasing order.\nAnswer: -5, 13, 36, 131, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 534, 1324, 2290, 3432, 4750, 6244, 7914?\n\"Answer: 88*p**2 + 526*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*c - 331*c + 15*c + 19*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 - 5*f. Let k(q) = 12*q**2. Give s(k(j)).\nAnswer: 1152*j**4 - 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5225.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401 is divided by 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5316 and 7974.\nAnswer: 15948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 46*x - 419. What is w(-41)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((1 - -2)*-1 - 1). Which is greater: 17\/31 or t?\nAnswer: 17\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 1 - 8\/(-2). Find the second derivative of -2*u + u**5 - 2*u**g - 2*u wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*8\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1097\/3 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 169298 (c) 3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4) - 6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 18*z**5 + 38919*z**4 - 188796*z**3 - 578631*z**2 - 91014*z = 0?\nAnswer: -2167, -2, -1\/6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (14442 - 3*l**2 - 8*l**2 - 14362)*(-5*l + 2*l + l) - l**3 + 4*l**3 + 0*l**3 as b*l + p + s*l**3 + a*l**2 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1067117 divided by -5\nAnswer: -1067117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**3 + 146*v**3 + v**3 - 122*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-25) - -1)\/(1 - 2). What is the closest to 0.07 in 2\/7, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25897, 21325, 16751, 12175, 7597?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 divided by -923511.\nAnswer: 278\/923511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*w + 322*w - 1320 = 0. Let l be (-58)\/w + 61\/183. Let r = 2.93 + 0.07. Which is the nearest to 0? (a) l (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 17*k**5\/60 + 53*k**4\/24 + k**3\/6 - 5*k**2. What is the second derivative of j(d) wrt d?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, -0.03, 0.4, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - 13*q - 8. Let o be r(-4). Let a be (2 + o\/6)*3. Solve 0 = 3*b - 2*s - 13, s = 4*b + a - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 182679*x**2 + 2781242085*x - 8342082225 = 0 for x.\nAnswer: 3, 30445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1598733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 965 + -95275.069.\nAnswer: -94310.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 60*h - 4 + 54*h + 68*h. List the prime factors of n(1).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -709\/216 + 11\/27. Calculate the common denominator of -6 - (-156)\/(-32)*-3 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141124 and -0.1?\nAnswer: 14112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1005*-13\nAnswer: -13065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z**2 + 0*z + 76 - 2\/35*z**5 + 0*z**3 + 3\/14*z**4. Factor q(g).\nAnswer: -2*g**3*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*z - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06416 + 402.03584. Let w = -402.1004291 + t. What is w rounded to 5 dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 41334650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 7*m + 3*m - 2*m. Let x(q) = -44*q**2. Give f(x(y)).\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(-237*z**5 - 5140*z**3 + 5140*z**3).\nAnswer: 474*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:03 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d**2 - 66*d**2 + 95*d**2.\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000558 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-9 + 3)\/3. Let i(v) = v**w + 3*v**2 + v**2. Let d(u) be the second derivative of -u**4\/6 + 2*u. Calculate i(d(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*s - 49*s - 54*s - 47*s - 49*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*q - 14*q - 406*q to the form i + d*q and give d.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/6? (a) 628 (b) -20 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13007 + 13006.9. Let s = -14\/13 + 348\/299. Which is the nearest to f? (a) -3\/2 (b) 41 (c) s (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2)\/v)**(15\/7)\/(v**(-5)\/(v\/v**6*v))*(v\/v**(-3\/4)*v)\/v*v**(-2)*(v*((v**0*v)\/v)\/v*v)**(-33) assuming v is positive.\nAnswer: v**(-963\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*k + 154, 0*k = 4*c - 3*k + 308. Let l = -53 - c. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40881187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 8, -19, 36 in decreasing order.\nAnswer: 36, 8, 5, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 14)\/(2\/(-6)). Let p be 6\/t - 24\/11. Is 35 + -1*(3 + p) 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 {v: 5, x: 4, o: 5, w: 1, m: 4}. What is prob of picking 1 m, 1 x, and 1 o?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-3 - 393)\/6. Let k(y) = 17*y - 50. Let a be k(3). Put a, -3, x in increasing order.\nAnswer: -3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7573337\/18715 + -1\/56145. Is x equal to 405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + z**2 - z**2 + (11*z + z + z)*(z + 3*z - 3*z) + (-z + 2*z - 4*z)*(2*z - z + 0*z) + z + z**2 - z.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45047 or 11?\nAnswer: -45047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84495 and 7745375?\nAnswer: 23236125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676980 is divided by 30771?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6549528 hours to days.\nAnswer: 0.0272897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5900 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 12a657b?\nAnswer: 12a6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25*((-8160)\/(-75) + 12). Is -3019 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 348 = 0. Let n = o + -60. Suppose 38 = h + 3*d + d, -n = -2*h - 4*d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b + 2*b**6 + 481*b**4 + 2*b + 1162*b**2 - 5*b**2 + 583*b**4 wrt b?\nAnswer: 240*b**3 + 25536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 9*h + 7*h. Let n be v(9). What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1212 and -1.\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -635270 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4994, -4184, -3374, -2564, -1754, -944?\n\"Answer: 810*w - 5804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -189, -191?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 11. Suppose -5*i - 42 = 3*k - 0*k, -i - 2*k - 14 = 0. Let s be r(i). Solve -s*m + 20 = -5*x - 3*m, 3*m = -x + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3152 and 1168998.\nAnswer: 9351984","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 847600*x**2\/7 + 726522*x + 7628508\/7.\nAnswer: -2*(x - 423806)*(x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-8)\/6)*(7 - (-174)\/(-24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and 107\/13236?\nAnswer: 13236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 8*t - 5. Let w be m(-9). Let d = 6 + -4. Let x be d\/6*3*w. Solve 3*y - 4*f - 4 = -0, x = -f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -367\/5 less than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j + 12. Let t be f(5). Suppose t*d = 2*d + 1265. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -33*u + 5530. Let g = 182 - u. What is the remainder when 76 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*i + 40*i + 12*i**3 - 85*i - 3059 - 19*i**4 + 13*i**4 - 720 wrt i.\nAnswer: -24*i**3 + 36*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - o, u + 5*o = -1 - 17. Let h(l) = -l**2 + l**2 - 6*l + 4 + l**u. Suppose -3*a + 3*i + 18 = 2*i, -18 = -3*a + 3*i. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5822\/(-104) + (3976\/2912)\/(-71).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -8, 2, 33 in descending order.\nAnswer: 36, 33, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 5.6. Put -1\/3, 0.08, b in ascending order.\nAnswer: b, -1\/3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -26 - -3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2546 is divided by 842.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/48 + (-1058)\/(-12). Suppose -4*d = 3*w - n, 0 = d + 3*w - w - 22. Calculate the remainder when d is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(28)\/sqrt(4)*5).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)*20\/8. Suppose -2*w + 0 = -q - 6, -5*w + 5 = -x*q. Solve 2*i + 0 = -4, -j - w = 4*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n = 3. Suppose -3*f - 25 = 2*f - 5*h, f + h - n = 0. Calculate the common denominator of 56\/3 and f\/(-9)*(-132)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + 200105012?\nAnswer: 200105101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29500, -59265, -89302, -119611, -150192, -181045, -212170?\nAnswer: -243567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6324 and 5?\nAnswer: 6329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**14\/q**4)\/((q*q*q*q\/(q\/q**30)*q)\/q)**13)**(-7\/11) assuming q is positive.\nAnswer: q**(2933\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, k: 1, t: 2, y: 2}. Give prob of sequence tt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:44 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/307, 1, 2, -0.17, 5, -0.1?\nAnswer: -5\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/15 - 2\/5. Solve -3*g + 4*g + j*g**2 + g**2 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -10, -1, 10, 23, 38, 55?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 29*p**2 - 163*p + 80. Let o be i(34). What is the highest common factor of 1166 and o?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 12.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 + 4*a + 9. What is b(5)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -4?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 7*b**6\/30 - 3*b**5\/10 - 7*b**2\/2 + 17. Let h(r) be the second derivative of u(r). Find the third derivative of h(z) wrt z.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7394*(-2)\/3632 - -2*(3 + -1) and -91\/22.\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -3134.048225.\nAnswer: 3142.048225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 15088?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 38*y - 434. Give g(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 140, -2293, 0, 4.\nAnswer: -2293, 0, 3, 4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.02 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {b: 3, d: 5, q: 5, n: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 955384*g + 57047411716 = 0.\nAnswer: 119423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/(-26))\/(2\/6). Let j(c) be the second derivative of 0 - i*c**2 + 1\/3*c**3 - c + 1\/20*c**5 - 1\/12*c**4. Give j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 873379379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (59\/10 - 3). Which is the smallest value? (a) 2 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*8\/(-4) + -5. Let f = 9 + k. Let d = 12 + -6. Calculate the least common multiple of f and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 7}. Give prob of sequence hth.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5836 + -3160. Let c = d + -26783\/10. What is the common denominator of c and -25\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.293903km to micrometers.\nAnswer: 7293903000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002223 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.3 and -4.\nAnswer: 77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)*v*v*v*v**(2\/3)*(v**(3\/8)*v)\/(v*v*v**(2\/53)\/v) assuming v is positive.\nAnswer: v**(3397\/1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v = -111*v + 3*s - 14, -2*v + s = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 2*w)*(737*w - 737*w - 43*w**2) - w**3 + 2*w**3 + 23 - 22.\nAnswer: 44*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 5:47 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 8*t**2 + 2. Let m be b(8). What is the third derivative of -401*z + 11*z**3 + 6*z**m + 401*z wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 8*n + 15. Let r be x(5). Let m(k) = k**3 + k - 2. Let g be m(r). Let w(o) = o**2 + 3*o + 2. Calculate w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -5, -109, -7 in descending order.\nAnswer: 0, -5, -7, -9, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 2. Let k be (-1)\/2 + (-12)\/8. Let v be k - (-2 - y\/5). Which is the nearest to v? (a) -5 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**3 - 17*y**3 + 1 + 25*y**3. Let i(p) = -2*p**3 - 1. Calculate i(b) + u(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/848)\/(6\/(-120))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -652?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -69*c**2 + 6*c + 10. Let n be x(3). Let r = 588 + n. What is the closest to 1 in r, 2\/7, 5\/4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -31*m + 2. Let j(f) = 62*f - 4. Give -5*d(g) - 3*j(g).\nAnswer: -31*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24565 = -122*r + 105*r. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, l: 3, v: 1, j: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112774026 is divided by 181?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -1\/10, -1.3, 10, -2\/9 in decreasing order.\nAnswer: 19, 10, 0, -1\/10, -2\/9, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*i + 3*i - 6930, 0 = 2*i - 3*o - 4627. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 246545*l - 986181\/4.\nAnswer: (l - 1)*(l + 986181)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7097 divided by -1\nAnswer: -7097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.627*-3.\nAnswer: -28.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.0052 and 234436258.3?\nAnswer: 234436257.2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {j: 3, t: 17}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 0.4 (c) 16770\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - -1*(0 - -2). Let f = t - 25. Let o = f + 14. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101100000 (base 2) in base 4?\nAnswer: -1111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 3*o + o**3)*(21 - 18 - 197*o - 4) in the form j*o**2 + d*o**4 + h*o + f*o**3 + y and give d.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(4\/15)*r*r*r*r)\/(r**(-18\/5)*r))\/(r*r*r\/r**(-2\/17)*r**12))**(-3\/22) assuming r is positive.\nAnswer: r**(1052\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25573969 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1936)*-1)\/(sqrt(40)\/(sqrt(20) + sqrt(5)) + ((1*sqrt(80) - sqrt(80)) + sqrt(80))\/sqrt(10)).\nAnswer: 165*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 146?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (-24 - -59) - -227\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 220*u + 616. Determine b(-43).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 112\/35 - -10*(-8)\/400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -901, -1353, -1803?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 12*x - 30. Calculate q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 10*x + 15. Calculate o(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-10 - (-23 + 95 - 22)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 962747 to the nearest 1000.\nAnswer: 963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -67*f**2 + 7*f - 26. Let n(w) = -33*w**2 + 3*w - 13. Let h(l) = -7*n(l) + 3*t(l). What is the derivative of h(b) wrt b?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202210021200 (base 3) to base 12\nAnswer: -394409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 30. Let r(b) be the third derivative of 0*b**3 - 1\/168*b**8 - 3*b**2 - 1\/35*b**7 + 0*b**4 + 0*b - 1\/30*b**5 + x - 1\/20*b**6. Factor r(s).\nAnswer: -2*s**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3 - 22. Suppose -w*j - 10 = -35. Suppose 3*p + 8 - j = 0. Is -1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1061174 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 76*s = 66588. Solve s*a - 78 = 2135*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10876, -21697, -32500, -43285?\n\"Answer: 9*n**2 - 10848*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -8, 212, -1296, -1 in ascending order.\nAnswer: -1296, -8, -5, -1, 2, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 45*s**3 - 21*s**3 - 53*s**3 - s**2 - 8*s**3 - 102.\nAnswer: -112*s**3 - s**2 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*u - 56*u - 687 = 65. Sort 4, 48, u.\nAnswer: 4, u, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 > -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -2*q, 0*q + 4*q - v - 30 = 0. Let g(c) = c**3 - 7*c**2 + 14*c + 7. Is g(q) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/546*280\/48.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -13*j**7\/21 + j**3\/2 - 24*j. What is the second derivative of r(k) wrt k?\nAnswer: -520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4 + sqrt(1053) - sqrt(1053) - (sqrt(78)\/sqrt(3))\/sqrt(2)) + -1 + sqrt(130)\/(-1*sqrt(10)*-1))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 + (-80)\/(-14 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -17) + 0 + -144 + 136?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1307)\/(-9) - -2) + (-16)\/72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*g = -313, 0 = 4*z + 6*g - g - 1297. Is 52 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/9 - (-10)\/2. Suppose 2*w - 3*p = -0*w + 25, 0 = -3*w - l*p + 5. Suppose 0 = -u + f + 38, w*f - 74 = -2*u + 2. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -958.9999587 + 959. Round p to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j - 3*j. Suppose j*y = 4, 2*q + 3*y = q + 30. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 447 - 47*g + 700.\nAnswer: -47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = m - 76. Let o = 226 - m. Let i = 190 - o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1 - 1)\/((-279)\/(-180234)).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2612932 and 746552.\nAnswer: 5225864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2. Let q(n) = -17*n + n**2 + 17*n. What is t(q(z))?\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/164 and (-3)\/(-18) - (-2 + 1 - (-10943)\/9102).\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3582 or -3479?\nAnswer: -3582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-10))\/(29*(-75)\/8700)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 7*v + 7. Let h be p(7). Let y(r) = -h*r + 2*r - 3*r. What are the prime factors of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*q)*(21 - 2 - 2 - 161*q - 22)*(1 + 1 + 1).\nAnswer: -966*q**2 - 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*y = 531151 - 531129, -2*z + 22 = 5*y for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/225*((-720)\/1648)\/(-15)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1150*o**2 + 1182*o + 12. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19190 - 19184. Solve -5*i + 2*d + 3 = -n*i, -4*i = -4*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-4) - (-2 + -12). Suppose 15*n - 444 = i*n. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)*(-5)\/2. Suppose g - 36 = -l*g. Solve 2*d + g = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812 and 2453458?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5133*g**3 - 4*g**2 - 31307*g - 2?\nAnswer: 30798*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 6 = -14*d - 2*f, -d + 3*f - 7 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 1.13. Let s = 2.47 - l. What is the nearest to -1\/3 in s, -2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 2*x + 2. Suppose 4*p - 5*b = -17, -4*p = -5*p - b - 2. What is q(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 5.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 12:46 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-645)\/30 + 2\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -0*w, 50 = -5*b + w. Let m be (-586)\/(-14) + b\/(-63). Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 575.9902mm?\nAnswer: 575990.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19803?\nAnswer: 3, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2*q**6 + g**2*q**2 + 1082*g**2*q - 4*g**2 + 2*g*q**2 + 1480034*q**6 - 3*q**2 wrt q.\nAnswer: 360*g**2*q**3 + 177604080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.168.\nAnswer: 0.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 3\/71, -0.5 in decreasing order.\nAnswer: 5, 0.3, 3\/71, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + ((-3 + 0 + sqrt(588) + -2)**2 - (6*-2*sqrt(588) + (sqrt(588) - 3*sqrt(588)*-2)))).\nAnswer: -3065 + 350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.8 times 7?\nAnswer: 278.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**7\/210 + f**6\/30 + f**5\/10 + f**4\/6 + f**3\/6 - f**2 + 1. Solve g(l) = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4*r\/(r\/((r\/(r**(-5)\/r))\/r)))\/(r**(-8))**(20\/9))**(1\/9) assuming r is positive.\nAnswer: r**(250\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 163 - (-2 + 0) - -13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 92*b - 19*b in the form z*b + a and give z.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.043, -2\/11, 36?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 19*j + 41. Let i be q(21). Is 5\/14 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11689 is divided by 2038?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653087 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 110420*r**2 - 110415*r**2 + 220884*r**2.\nAnswer: 49*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8603102 > -43015513\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 - 5*p**2 + 6*p - 2. Calculate g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) - (30\/(-6))\/(-15). Solve 4*x = -j*x - 4, 3*i = -5*x - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -3 + -1 - 2. Let i(l) = -6*l**4 + 2*l**2 + 6*l + 2. Let r(j) = j**2 + j + 1. Let f(v) = y*r(v) - i(v). What is the second derivative of f(q) wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1781312, 1781307, 1781300, 1781291, 1781280, 1781267?\nAnswer: 1781252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 + f**3 - 7*f**3 - 2)*(-4 + 3 + 0).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065716?\nAnswer: 2, 3, 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let w = 177362\/3741 - 1374\/29. Is y at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/34? (a) 0.1 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10165528?\nAnswer: 2, 37, 61, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243052 (base 6) to base 9.\nAnswer: -32335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*d - 31 = 0, 5*r + 0 = -5*d - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - q + q)*(q - 5*q + 3*q) + 466723 + 366*q**2 - 466723)*(3 + 2*q - 3)*(2*q + 1 - 1).\nAnswer: 1468*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -26*f**2. Let r(h) = -5*h - 7. Let a be 0 + 0 + 7 + -3 + 0. Let g(y) = -3*y - 4. Let l(z) = a*r(z) - 7*g(z). What is t(l(p))?\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-1) - (-2 + -1). Let g = z + -12. Suppose g = -3*w + a + 48, -2*w + 19 = -2*a - 17. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 299*r**2 - 1274*r - 357. What is j(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-20979)*-3)\/((-7)\/(-49)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*f + 78*f - 156*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350578234*i**3 + 6*i**2 + 16941197 wrt i?\nAnswer: 2103469404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 184 + 73 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/7 in -3\/5, 0.4, -3, 4, -4\/29, -1\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**5 + 7*g**3 + 2*g**2 - 185 wrt g.\nAnswer: -240*g**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*x + 16. Let w(m) = 23*m + 0 - 9*m - 15*m - 2. Let z(c) = 2*c + 4. Give x*z(a) + 7*w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) -1516 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 2363*u + 2366*u + 6, 2*f - 3*u - 11 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(1 - 10 - 1 + 0 + 1 + 1 - 3 - 2 + 3 + (-3 - 1 + 6)*(-4 + 2 + 4)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 3115*f\/3 - 17748.\nAnswer: (f - 17)*(f + 3132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.97 + 6. Let n = 1.73 - b. What is n rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1\/6*d**4 + 0 - d + 1\/2*d**2 + 0*d**3 - 3\/20*d**5. Let a be f(-1). Solve a*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4609007 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*g**4 - 6 + 26*g**4 - 7 wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 1902 + 0*b**2 - 3817 - 30*b**3 + 1912 + b**2.\nAnswer: -30*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 10*r - 23 - 0 - 2, 4*v = -2*r + 4402 - 4372 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b, 4*a + 3*b = -a + 13. Solve -4*f - 6*p + 5*p - a = 0, f + 5*p - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - p = -0*i + 12, 4*p + 41 = -3*i. Let r(x) = -x**2 - 10*x - 16. Let d be r(i). Solve v = d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 - 6 = 2*i, 3*x - 12 = -i. Let u be 3*(i\/1 + -2). Factor -k - 3*k**3 - 2*k - 5*k**2 - k + 5*k**4 + 4*k**5 + u*k.\nAnswer: k*(k - 1)*(k + 1)**2*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 - 8*n - 1. Let t be q(-7). Let s be 54\/5*20\/t. Let d(r) = 2*r**2 - 12*r - 19. Let g be d(9). Are s and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1112, 0, 16, 1, 29 in decreasing order.\nAnswer: 29, 16, 1, 0, -1112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19971324 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -448 + 846. Does 37 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/180 - 89*j**5\/180 - 8*j**4\/3 + 31*j**3\/2 + 2*j**2 + 645. Solve i(o) = 0.\nAnswer: -3, 1, 93\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01824, -6.8, -4?\nAnswer: -0.01824","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 34 - 74 = 4*t, -94*t - 4*r = 490 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15538 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {o: 3, p: 4, j: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 - 7*t - 4. Let x be s(-6). Let j(k) = 4*k**x - k**2 - 2*k**2 - 2*k + 1 + 5*k. Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) + (-3)\/2. Suppose -c = -2*c + 2. What is the closest to b in -3\/5, 1\/3, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftf when four letters picked without replacement from ftttfftttttttttftf.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**3*v + 13*f**3 + 2*f**2*v + 17*f**2 - 3*f*v + 14*f + 85*v wrt f.\nAnswer: -54*f*v + 78*f + 4*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 20*j - 22*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 - 595*w**3 - 3060*w**2 - 4940*w - 2480 = 0.\nAnswer: -2, -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223589409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 26. Let l be 9\/o - (-51)\/68. Sort -7, l, -1 in decreasing order.\nAnswer: l, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 9531, 0, 148, 5 in increasing order.\nAnswer: 0, 5, 10, 148, 9531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/7 + 4*i**2 - 2*i\/7 - 4 = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-20)*(-20)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - ((-8 - -18) + -13) - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 81 - 12. Suppose k - 2*k = -q. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 1145*u + 4561. Give b(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -290*m - 5033. Let n(o) = -134*o - 2517. What is -13*n(t) + 6*z(t)?\nAnswer: 2*t + 2523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*q + 18, 3*r + 4*q - 7 + 31 = 0. Let l(d) be the third derivative of 0*d - 1\/3*d**4 + 0 - 13*d**2 + r*d**3. Let g(x) = x. Give g(l(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.3 and 3.\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2696571*g**2 + 10713430*g wrt g?\nAnswer: 5393142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2298355224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 1 - 20778*p**4 - 1 + 20795*p**4 + 2*p**2 + p to o*p**4 + d + l*p**2 + h*p**3 + v*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4712 + 1173286\/249. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*n + 12*n - 8*n)*(4*n - 7*n - 7*n) + 6 - 6 - 5*n**2 as s*n**2 + l*n + r and give s.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*d + 14 = 0, -5*o = 2*d + 3*d + 50. Let w be (-11)\/(-3) - (7 - 4). Sort o, w, 4 in descending order.\nAnswer: 4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37664 - -5?\nAnswer: -3765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53\/93 - 3\/31. Suppose -4*d = 3*x + 4 - 12, 4*x - 19 = 3*d. Let v = 2 - x. Which is the closest to n? (a) v (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 14623014.\nAnswer: 160853154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4754, 10273, 15792?\nAnswer: 21311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + q**2 + 2. Let t be j(2). Let v be (2\/(-4))\/(1\/t). Factor -3*c + 2*c**2 + v*c - 2*c**3 - 2 + 0*c**2.\nAnswer: -2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 11*g - 19. Let u be x(8). Let p = -12 + 157. Calculate the greatest common factor of p and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1004, 1003, 1002, 1001, 1000, 999?\n\"Answer: -m + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j + 37*j + 381 = -34*j. Let b(v) = 13*v - 14. Give b(j).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*q + 6, q = -5*z + 9 + 19. What is the derivative of 5*o**3 + 1 - 2*o**q + 0*o**3 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 19*r**2 - 181*r + 5 + 181*r to n*r**2 + h*r + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*(l\/(l*l**(-5\/4)*l))\/l*l)\/l*l**(-10)*l*(l**(5\/6)\/l)\/l**3 assuming l is positive.\nAnswer: l**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-10)\/1867975) + 136\/16 + -7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 155110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20496 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 4*a - 1. Let r(c) = 19*c**2 + 141*c - 43. Let i(v) = 7*v**2 + 49*v - 15. Let b(f) = -17*i(f) + 6*r(f). Calculate 3*b(p) - 8*s(p).\nAnswer: p**2 + 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64523142?\nAnswer: 2, 3, 23, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -q - 0*q + 3*z, -108187*z = 2*q - 108192*z - 60 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d - 4. Let x = 1 - 5. Let h(s) = 144*s + 45. Let m(z) = x*h(z) - 45*n(z). What are the prime factors of m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/(-2)*(-1 - -21) and (-9)\/27*(-127 - -16 - -21).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*b + 5798 = 0, -12*m - b = -7*m - 5794. What is the lowest common multiple of m and 6?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from {p: 8, f: 6, e: 1}.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -405 + 798 + 585*j - 394 to t + m*j and give m.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let z be b(-1). Let m(u) = -u**3 + 5*u**2 + 7*u - 5. Let q be m(6). Suppose -4*g - 3 = -3*y, 0 = -g + 4*y - q - 3. Is z bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281148013 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 23*u + 176. Determine w(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4 + 22 = 0. Suppose f + f - 1236 = 5*v, 1877 = o*f + 4*v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*w + 36. Let d = -43.15 + 43.05. What is the closest to -1 in 3\/2, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -98, -177?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3855264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 541*(-6)\/(-27) + 22\/(-99). Suppose -38 = 5*a - 98. Suppose -9*o + a*o = v. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31835.2 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 29 - 52 = 38 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 31. Suppose -2*f = 2*m - 84, -3*m + m + 81 = g*f. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + 27*h - 53. Let i be s(2). Which is the closest to i? (a) -0.4 (b) -5 (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 395\/11. Let r = 103553\/4 + -25888. Which is the smallest value? (a) x (b) -12 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from sbdjsjku?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 1, b: 5, p: 6, k: 3, m: 1}. What is prob of sequence wb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (0 - -88) - 8 - -14) + -11?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x + 100*x**2 - 22*x - 97*x**2 - 5. Let g be f(4). Solve 2*z - 12 = g*t, 6 - 4 = -t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 2. Let a = t - 40. Suppose 3*s + 2*s = 75. Calculate the remainder when a is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5.1. Let y = m + 2.111. Let z = y + 2.889. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72864.88 millilitres in litres?\nAnswer: 72.86488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96068, 191868, 287150, 381656, 475128, 567308, 657938, 746760?\n\"Answer: -43*i**3 - i**2 + 96104*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4573\/3 - -1543. What is the common denominator of -103\/24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/5)\/((-36)\/120))\/(108\/81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*z - 3*z + 15*z**5 + 11*z - 6*z wrt z.\nAnswer: 300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196700734.\nAnswer: 2, 47, 2092561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 5 = -7*f. What is the tens digit of ((-30)\/48)\/f + (-1970)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 261, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 1. Let z be o(4). Let m = z - -23. Suppose 0 = -3*t + 8*t - m. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-9) + (-11476)\/(-36) - -1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -149*n**7\/6 + n**5\/20 - 187*n**4\/3 + n + 476. Find the third derivative of b(z) wrt z.\nAnswer: -62580*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1 - 13*l - 1. Let z(h) be the third derivative of -h**4\/12 + 1758*h**2 - h + 2. Determine t(z(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.06, 549\/4, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 49. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9) + 410\/369)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10203 + -4660. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 2*v**3 + v**2 + 414 - 415 to x*v**3 + b + i*v + l*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5909*0.204.\nAnswer: 1205.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27983 is divided by 385?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1831 + -1830.99986895. Round i to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 145. Suppose -2583 = 36*z + 5*z. Is t greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-32))\/(-3) - (125\/(-70) + 1).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*s**4 + 69*s**4 + 98*s**4 + (-s + s - 2*s**2)*(5*s - 2*s**2 - 5*s) as g*s**2 + p*s**4 + h*s**3 + z + l*s and give p.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o**4 - 41*o**4 + o**2 - 283*o + 13*o**4 + 17*o**4 + (7*o**3 + 10*o**3 - 3*o**3)*(0 + 5*o + 0).\nAnswer: 68*o**4 + o**2 - 283*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 2*sqrt(77)*3)\/(sqrt(63)\/(sqrt(18)\/sqrt(2))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 4245316?\nAnswer: 4245200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 1. Let x = 2 - 1. Which is the closest to f? (a) 5 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/4 + 17331*g**3\/2 - 37094670*g**2 + 139011314325*g\/2 - 191506344007125\/4 = 0. Calculate g.\nAnswer: 1939, 3205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**2 + 21*v - 109. Let o(y) = 36*y**2 + 64*y - 323. Let t(a) = 4*o(a) - 11*p(a). What are the prime factors of t(-12)?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*q + 15 = 4, -m + 5 = 5*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/(-12) + (2 - 2) + 6. Let w = 2 - 1.5. Which is the second biggest value? (a) w (b) 5 (c) i (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7216439 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.85+0.5\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 + 6 + -3) - (-56 - (-193 + 29))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * -28590.5\nAnswer: -10578.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11582 + 23817. Is 55 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 47 + -34 + -45.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from bcmhfbhs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007136149 rounded to 7 decimal places?\nAnswer: 0.0000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (-720)\/(-175))*(-42)\/36. Let f(l) = l + 1. Let c be f(-1). Solve c - 2\/15*y**3 - t*y**2 + 0*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:27 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a + 2*a - 4*a**3 - 17*a wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*20\/(-8)*2. Suppose 2 = 4*m - 10, -v*m + 15 = -2*x. Let i be -1 + x + (-4 - -1)*-1. Is 8\/5 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43020573 equal to 43020581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*a**2 + a - 12.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 258\/3784*404404\/273\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05424 from -0.118.\nAnswer: -0.17224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w + 34 + 451 = 128 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b + 2562 = 508 - 1204 - 2160 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:03 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 20 - 0. Let q(i) = i**3 + 3*i**2 - 4*i + 2. Let v be q(h). Which is bigger: v or 17\/5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/24*6 + (11 - (33 + 6)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a + 24 = 51*a. Suppose 68 = 20*z + 8. Put z, -23, a in increasing order.\nAnswer: -23, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 11. Let u be m(9). Let h = 70 + -67. Which is the third biggest value? (a) h (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3097928799 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-12))\/11*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3004 = 272*i + 203*i + 10771 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072479 rounded to 5 decimal places?\nAnswer: -0.00725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6054 - -6161.849. Round h to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*a + 29858 = 29845, -2*g + 3*a - 7 - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9. Let c(p) = -p**2 - p. Let t be c(u). Suppose 2 - 3 = -4*m + 5*z, -2*m - 5*z + 23 = t. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 36*q + 7. Give c(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -307\/7. Let k be 2 - 11\/((-330)\/(-72)). Which is the third biggest value? (a) f (b) k (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1057*q - 1062*q = 59, 3*q = -j + 24 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:45 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21865*-1.301.\nAnswer: 28446.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388 + -379. Calculate the smallest common multiple of 6 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 45. What is the second biggest value in -0.038, -1\/5, -3, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 13*p**2 - 15*p - 54. Let j be r(9). Calculate the highest common factor of j and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135171824 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56835148 divided by -3343244?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085156 is divided by 151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p - 1. Let t be v(10). Let k be (3\/(t - -2))\/3. Let x(b) = 23*b - 2. What is the units digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from {l: 4, v: 2, z: 10}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 13*h**2 + 309 + 3*h**2 - 111 - 105 - 110.\nAnswer: 16*h**2 - h - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(45) - sqrt(45)) + 5 + (-1*sqrt(405))**2 + -1.\nAnswer: -6*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102099?\nAnswer: 3, 34033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**9\/84 + b**5\/15 - 3*b**2. What is the third derivative of r(d) wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let j be a(7). Suppose 2*d + 8 = -0*d, -j = -3*x - d. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + 0*v**3 + 0*v**3)*(-3*v + 1 - 5*v + 5*v) + (5*v**4 - 4*v**4 - 3*v**4)*(-2 - 2 + 3) in the form z*v + m*v**2 + r*v**3 + c*v**4 + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 32*s**2 + 55*s + 68. List the prime factors of t(33).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6425, -12851, -19277, -25703, -32129, -38555?\n\"Answer: -6426*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 11) + (3 + -3 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -4 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w - w**2 - 4*w**2)*(-4*w - 16*w**3 + 4*w).\nAnswer: 32*w**5 + 32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203575648 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 5410*c**3 - 1730380*c**2 - 137071160*c.\nAnswer: -5*c*(c + 118)*(c + 482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2)*-1 - -1. Let l be 2\/((-6)\/(-3)) + w. Let y be (-1)\/4*(-1 + -1). Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29394, 105244, 231660, 408642, 636190?\nAnswer: 914304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.07305619 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(8) + 4)**2 + 2 + (-1*(sqrt(16) - (sqrt(16) + sqrt(16) + -2*sqrt(16))))\/sqrt(8))*6.\nAnswer: 138*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 162*u**2 + 19*u + 54. Let l be d(-18). Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 8. Let k be y(0). Let b be 1\/4 - (-5)\/12. Is b greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -5*x**4\/4 + 4*x**3\/3 - 11*x - 1. Let b(s) = s**3 - s**2 + 2. Let z be (-71 - -54) + -3 + 31. What is z*b(n) + 2*w(n)?\nAnswer: n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 91 = 2*f, 0 = 4*f + 2*j - 0*j - 194. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkgvkkvv. Give prob of picking 2 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b - 3 = 0, -b + 31 = 4*c. Suppose z + 3*z = c. Suppose -z*y - y = -11760000. What is y rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6272 and 5120?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2184*u**5 + 1003*u**3 + 1030857*u**2 - 1 wrt u?\nAnswer: 131040*u**2 + 6018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -3 - -3) - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*-1*sqrt(19)*1)**2 + (sqrt(2299) + (sqrt(2299) - (sqrt(2299) - (-4*(sqrt(2299) + 1*sqrt(2299)) - sqrt(2299)))))**2).\nAnswer: 737200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-8)*(-21)\/(-420))\/((-1)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 20*t - 10*t. Let j be (1 + -9)*(-30)\/40. Calculate the greatest common factor of t and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 4940 + 568 = -281*t - 1386 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 8*p**2 + 90*p + 2. Let g be m(9). Let w(t) = t**2 - 5*t - 5. Let h be w(6). Solve j = -g*v - 4*j - 21, j - h = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3507052362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -114352.75293\nAnswer: 114352.45293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from nkkntkntkkt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 + -450. Solve 11*z + 2*z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031869969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 93 = -63*d + 59*d, 2*d - 5*r = -69. Suppose -2*c = 0, -3*n = -0*n - 2*c. Let g be 22\/d*n\/1. Solve g = 5*o - p - 2, 3*o = -0*o - 5*p + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.826325 millilitres?\nAnswer: 0.006826325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 54 = 2*m. Suppose 0 = -4*r + 4*i + 52, 0 = 4*r - r - 5*i - 33. Let n be ((-2)\/r)\/((-3)\/m). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111 - 2?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 548384. Let h(n) = -26*n. What is h(y(j))?\nAnswer: 26*j - 14257984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 12 + -40 - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291184, -290712, -290240, -289768, -289296?\nAnswer: -288824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:16 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*y - 77, 0*y + d = y - 29. Let a(s) = 22*s**2 + 4*s + 5. Let g be a(-2). Calculate the highest common factor of g and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -250, -486, -708, -910, -1086, -1230, -1336?\n\"Answer: j**3 + j**2 - 246*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21 + 29)\/((-4)\/14)*-41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 14 - 11. Suppose d*j - 12*j = -468. Calculate the highest common divisor of j and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33847776.\nAnswer: 2, 3, 211, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6168 is divided by 879?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4164 = -4*i + 2*l, -2*i - 14*l = -11*l + 2106. Is i >= -1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 2*x - x**2 - 2*x - 5*x**2. Let f(b) = 3*b**2 + 4*b**2 - 12*b**2 - 13*b**2. Determine o(f(j)).\nAnswer: -1944*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 5, r: 1, k: 6, h: 3}. Give prob of picking 1 k and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, -60608, -15.\nAnswer: -60608, -15, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-177)\/(-3) - (0 + 1). Let q = p + -16. Suppose 41*f = q*f - 3. Solve 0*z + 4*z - 7 = -m, f*m - 10 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1322, 2650, 3976, 5300, 6622, 7942?\n\"Answer: -q**2 + 1331*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2573023\/13 + 197925. Factor -48\/13*l - a*l**2 - 288\/13.\nAnswer: -2*(l + 12)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(104\/13 + (-1 - 3)). Suppose -762378 = p*c - 182378. Round c to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 r, and 1 e when four letters picked without replacement from hehhreherhouurehe.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a. Let y be m(1). Let j be (-44399996)\/12 - 2\/y. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Let r be ((-56)\/(-16))\/(2\/l). Let p = 9 - r. Solve 0 = -p*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4\/7, 2\/9, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 12 - 0. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 26 + 43 + (4 - 28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-20) + (-1263241)\/(-2). Suppose v + 1688379 = -x. What is v rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539728?\nAnswer: 2, 96233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = b - 4*h, 8 = -5*b + 4*h + 48. What is the third derivative of 7*t**2 + 2*t**b - 6*t**2 + 3*t**2 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3400748 and 4420?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 6279840?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61464766 - 36384776. Suppose -2*j = -2*v + 16719996, j + i = 3*v - 4*j. Suppose -3*g - g = -v. Round g to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378804 and 32.\nAnswer: 3030432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205 - 208. Let p(q) = -5*q - 11. Let z be p(g). Suppose 12 = 4*k - v, 0*k = -4*k - 5*v + 12. Solve k*b = -2*f - 0*f - 4, -z*f = b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 14345?\nAnswer: -14342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81653*q**2 - 81124?\nAnswer: 163306*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-91)*(-742987)\/63. Let b = -1296 - h. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(27\/15)\/(6755\/(-14475))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 27. Let h(k) = k**2 - 10*k - 3. Let g be h(v). Let s = 936 - 932. Solve -4*y + s + g = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*c*r**2 - 107*c*r + c + 21321*r**2 - 11*r wrt c.\nAnswer: -247*r**2 - 107*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/7)*b)\/(b*b**(-6)\/b)*(b**1)**25)**37 assuming b is positive.\nAnswer: b**(8325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 72 = 63, -3*a + 3*w + 51 = -12*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3381 - -5.128. Round o to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-24)*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1079 and 5915?\nAnswer: 490945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10111010?\nAnswer: 10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j. Let v(t) = -6*t. Give 14*n(o) + 6*v(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 0 - ((-50)\/(-5) + 2 + -10). Let c be 1\/3 + (-4876)\/(-6). Suppose c = 3*u - f*d, 2*d = -2*d + 16. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*u + 6*u + 2 = 3*u, 0 = 6*q + 11*u + 40 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 25.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 22118319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Let c = 2 - w. What is the lowest common multiple of 18 and ((-1)\/2)\/(c\/(-88))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39448, -315635, -1065312, -2525233, -4932152, -8522823, -13534000?\n\"Answer: -39459*g**3 + 9*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 985 + -664. Is (4 + l\/4)*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 180, 275, 370?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -55*w**7\/42 - 29*w**3\/6 - w**2 + 51*w. Find the second derivative of k(g) wrt g.\nAnswer: -1100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*k + 8 = -0*k, -5*k = -3*l + 10. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -11*t + 88. What is the remainder when 959 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4131 + 52278 = -1416*f - 8493 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 13 + 9 = -70. Solve -2*k + 33 = -5*o, 4*o + 24 = m*k - 32*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 704335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5403.444 litres?\nAnswer: 5403444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/345828 and -62\/5.\nAnswer: 1729140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r. Let s be 1 - 3 - -2 - 11. Suppose 620*b - 330 = 675*b. Let x(m) = -13*m. Let n(p) = b*x(p) + s*c(p). Let a(d) = -41*d. What is a(n(o))?\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 - 502*l**2\/3 - 11348*l\/3 - 3616 = 0 for l.\nAnswer: -226, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84562 (base 9) to base 2\nAnswer: 1101101000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 63.44312 rounded to one decimal place?\nAnswer: 63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.08 - -4\nAnswer: 5.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/20 + -8 + 9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 - 2188*x**2 - 915*x - 135637. Give a(-729).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + (6 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 - 2 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 10*a**3)*(-2*a**2 + 2*a**2 + a**2) - 29*a**5 + a**5 + 9*a**5.\nAnswer: -29*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 328*j - 324*j = 23, s - 12 = -3*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 2*c + 10723, 0 = c - 4. Suppose 2*f = f - j. Is (21 + f)*1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Let l(t) be the second derivative of 77\/60*t**5 - 49\/90*t**y + 2\/9*t**3 + 0 - 2*t + 0*t**2 - 8\/9*t**4. Factor l(z).\nAnswer: -z*(z - 1)*(7*z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47212, -47201, -47188, -47173, -47156?\n\"Answer: y**2 + 8*y - 47221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291186 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 8) to base 3.\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5637*x**2. Let c(g) = -10*g**2. Determine c(s(u)).\nAnswer: -317757690*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 3*f + 5. Let g be o(-2). Suppose g*c = 10*c. Suppose 5*l - 3 = -8, 2*p + l - 3 = c. Solve p*j - 1 - 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/25)\/w**(-10\/9))**0)**(14\/13) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d*q**3*s + 28*d*q**3 + 175658*d*q*s - 18*d + 154*q**3 + q**2 wrt s?\nAnswer: 10*d*q**3 + 175658*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -185254.3?\nAnswer: 185254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2) + 11\/(-12). Let f(q) be the third derivative of q**2 - 1\/6*q**3 + 0*q + t*q**4 + 0. What is the first derivative of f(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 264, 3199, 11160, 26661, 52216, 90339, 143544, 214345?\n\"Answer: 419*j**3 - j**2 + 5*j - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.4 + 17. What is the third biggest value in i, 0.1, 8\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15543626.\nAnswer: 2, 7, 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1659, 2, -0.3.\nAnswer: -0.3, 2, 1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 42 = 2*v. What is the tens digit of 1 + (-6)\/v + (-2232)\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105400, 105418, 105450, 105502, 105580, 105690, 105838, 106030?\nAnswer: 106272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -6, 305\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:53 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 20, 0.4, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**4\/20 - 3*v**3\/5 - 3*v**2\/5 - 7. Factor q(g).\nAnswer: -3*g*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 0.4 (c) -0.2 (d) 0.212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 5*z + 3. Let c be o(-3). Let i = c - -4. Is 121*(0 + i) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*3\/6*-1. Let g(q) be the third derivative of -q**4\/24 + q**3\/2 + 4*q**2. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -607*c**6\/40 + 19*c**5\/60 - 11*c**3\/6 - 2*c**2 - 213. What is the third derivative of u(a) wrt a?\nAnswer: -10926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345245690.\nAnswer: 2, 5, 17, 127, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1714043, -1714044, -1714045?\nAnswer: -1714046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*n**2 - 8*n - n**2 + 8*n.\nAnswer: -3*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/7, -3\/4, 39652\/25?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958647, 1917295, 2875943, 3834591?\nAnswer: 4793239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*f**2*i - 461122*f**2 - 2005*i - 7782 wrt f?\nAnswer: -108*f*i - 922244*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -548366 divided by 23842\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*b + 219*b - 168. Suppose 18*r - b = 44. Solve -12 = -0*o - r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64859, 64926, 64993, 65060, 65127?\nAnswer: 65194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-q**4 - 3*q**4 + q**4)*(-6 + 9 - 6) + 4*q**2 - 2*q**4 - q**2 - 2*q**2.\nAnswer: -11*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 6. Suppose 0 = 3*z - 2*y - 0*y - 13, -2*z + 3*y = -m. Solve 3*u - z = 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.21 (c) 2\/49 (d) -1\/5 (e) -125 (f) -0.04 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -423*s**2 + 21150*s + 90. Determine v(50).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from rfqnl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from oeeeeooyoyo.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(171)*-3)**2.\nAnswer: -3086 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 124\/3. Calculate the common denominator of 4\/528*303\/(-3) and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from gpgprpaapaaaagaarapa.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6*u - 22 = -5, 2*u - 6 = 0. Which is the closest to 2\/3? (a) z (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:59 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 206263803 to the power of 1\/10, 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 6041921 is divided by 68?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2877748 and -0.06.\nAnswer: 172664.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594094, 593799, 593504, 593209, 592914, 592619?\nAnswer: 592324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 166637?\nAnswer: 1166459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.47992 to 1 decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1711552 divided by 376.\nAnswer: -4552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*g - 2 - 378 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 0)*-6*-6)**2.\nAnswer: 2979504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8311523 - -2.2\nAnswer: -8311520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - 4*d + 3. What is l(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3906, 8054, 12208, 16368?\n\"Answer: 3*p**2 + 4139*p - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -145126 divided by -1340?\nAnswer: 72563\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-114)\/12))\/(-1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose -4*c - 3*v = -186 - r, 0 = -4*v. Suppose 5*f - c - 8 = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(7\/4))))\/(q*q**(1\/13))*q**(-7)*q*q**(1\/9)*q)**(-13) assuming q is positive.\nAnswer: q**(3143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7359 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -312.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 5. Let r = u + 8.3. Let s = 8 - 5. What is the smallest value in s, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 608*i - 1467*i + 4551*i**2 - 4550*i**2 as k*i**2 + t + r*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g**2 + 2652*g + 172. Calculate the lowest common multiple of f(-156) and 1892.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54322, 2\/11, -1, 1\/5 in increasing order.\nAnswer: -1, 2\/11, 1\/5, 54322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q**3 + q + 1. Let i be v(-1). Let p = 304 - 288. Suppose 2*x = 12 + p. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 20440*j**2 + 33480132*j - 17194985136.\nAnswer: 4*(j - 2037)**2*(j - 1036)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let x(y) = 96*y - 396. Let s(u) = x(u) + 6*z(u). What are the prime factors of s(13)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*1\/3*-3. Let f be (-18)\/x + 0 + -4. Suppose -f = -4*w + 2. Solve -r - 1 = 3*d + 7, w*d + 15 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124071 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*k = -681*k - 4*u + 308, -94*k + 2*u - 129 = -99*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5478, 5476, 5472, 5466, 5458, 5448, 5436?\nAnswer: 5422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10142308, -20284618, -30426948, -40569310, -50711716, -60854178, -70996708?\nAnswer: -81139318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*h + 6 + 13 = 0, 17*h = 13*h + 8 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/131678640 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 + 145. Is h a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 357\/10 (c) 4.1 (d) -2\/13 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -997*n**5 + 1706*n.\nAnswer: -19940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 + 3. Let q = 1.504 + 3.496. Which is the nearest to -3? (a) q (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10517 is divided by 147?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3476)\/77*1\/40 and ((-6)\/15)\/((-8)\/(1720\/(-21))).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from {c: 2, y: 2, t: 2, x: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*x - 21*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 32 = 2*y + 20, 4*y - 12 = -4*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1183 - 7097\/6. Which is the second smallest value? (a) 7 (b) g (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 1001.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14176343 to the power of 1\/2, to the nearest integer?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 + 0.06. Is g != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9695 + 20457. What is the remainder when c is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-8 - 1)) + -3. Suppose 2*l - 1 - 18 = 3*t, t = 2*l - 9. Solve l*a - s*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*j**3*p**2 - 52*j**3*p - 2721*j**3 + 2*j*p**2 with respect to p.\nAnswer: 130*j**3*p - 52*j**3 + 4*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9851521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -0.0485382011?\nAnswer: 3.0485382011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t**2 - 25*t + 266. Determine s(7).\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/5 - 332*b**4\/5 - 751*b**3 - 6282*b**2\/5 + 36828*b\/5 + 74088\/5 = 0?\nAnswer: -6, -2, 3, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 smaller than 331\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6681786 divided by -393?\nAnswer: 17002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/81 + 0\/(-5). Which is the closest to k? (a) 0.5 (b) -5 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m - 854 + 856 + 49*m.\nAnswer: -15*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -20. Suppose 2*t = -z*t + 10. Solve 3*x = 7 + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/25, 4, 140, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n - n)*(0*n - 4*n + 2*n) - 3*n**2 - n**2 + 6*n**2 + 3*n**2 - n**2 - 3*n**2 - 2*n**2 - 16*n + 16*n + 0*n**2 + 0*n**2 + n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5324 (base 7) in base 3?\nAnswer: -2120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 5*b. Suppose -110 = 5*d - 50. Let c(f) = -2*f**3 + 12*f**2 + 12*f. Give d*k(h) - 5*c(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*x + 1028 = -7662 + 1130 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107408460, 107408445, 107408406, 107408331, 107408208?\nAnswer: 107408025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 15*t - 60 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 10\/5063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 22. Suppose 89 - 1 = 4*n. Let j be a(n). What is the tens digit of (j - -15)\/3 - -90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 5, e: 4, s: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118.6 + 119. What is the closest to -28 in s, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1961*l - 3644 - 2239 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 37*r**2 + 5*r - 28. Let o(a) = a + 1. Let u(z) = d(z) - 5*o(z). Differentiate u(y) with respect to y.\nAnswer: 74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 103 - 316*w**2 + 631*w**2 + 33*w - 308*w**2. Let f(z) = 4*z**2 + 17*z + 52. Let o(p) = 3*c(p) - 5*f(p). Factor o(h).\nAnswer: (h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/5 + 1629*b**2\/5 + 130872*b - 1479280 = 0.\nAnswer: -820, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.486167 centuries in years?\nAnswer: 348.6167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 16*d + 34. Let f be a(-14). Is 22\/3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -175.5363112.\nAnswer: -174.5363112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:11 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*12*310\/(-720).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**5\/12 + 16*y**3\/3 - 17. Let h(i) be the third derivative of j(i). Let c(v) = 2*v. Calculate c(h(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 - q + 1. Suppose -22*t + 236 = -26*t. Let r = 57 + t. Let a(d) = -2*d**3 - d**2 - d + 1. Give r*i(k) + 2*a(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, -1\/3, -3\/689, -0.19, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2*y**4 - 152*y**5 + y**4 + 150*y**5).\nAnswer: -4*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -39. Suppose -5*r + 2*r = 0, 2*g - r = -32. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*v + v = -736, -p + 3*v + 150 = 0. Let l = 4087\/78 - 588\/13. What is the common denominator of l and p\/(-48) - (2 - 1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 = -23. Suppose -2*g = -z - 15, w*g = -4*z - 0*z. Let u = 2 - -1. Solve -5*v - 5*s = -g, u*s = v - 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 2*d - 17)*(-598*d**2 - 477*d**3 + 72*d**3 + 598*d**2) to the form u*d**3 + j*d + t*d**2 + z*d**4 + n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15894 is divided by 2644.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 15*n**2 - 9*n - 1. Let q = 55 - 75. Is i(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3500\/77 - 12\/(-22) - (-7)\/(49\/56).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389534440 to the nearest integer?\nAnswer: 19737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23386996 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (-81 + -34 - (-8 + -24))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -560\/3 or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-45*(-78)\/(-1755).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:06 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 39976?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102)*-1 - sqrt(102))*-3)\/(sqrt(150)*3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16507 is divided by 359?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 4*i + 3*i + 0*i.\nAnswer: 7*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -398802516 or -398802515?\nAnswer: -398802515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3737*p**3 + 2027 wrt p?\nAnswer: -11211*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, -2.8, -5, -7.071?\nAnswer: -7.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -8. What is the remainder when 117 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384858 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let b be q\/3 - 6\/(-9). Let m(h) = -4*h**2 - 4*h + 15. Let y(z) = -3*z**2 - 5*z + 22. Let g(o) = 3*m(o) - 2*y(o). What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10084, 10119, 10154?\n\"Answer: 35*h + 10049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 24988706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 8, -3, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 8. Let u be c(8). Suppose -14*s + 17*s = 207. Suppose 5*i = -2*j + 46, u*j - 3*j - 2*i = -s. Solve -4*v = -5*z - j, 3*v + 2*z = -2*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l + 12. Let y(x) = x + 2. Let c be y(5). Let t(o) = -1 - 6 + 3*o - 3*o - 3*o. Let u(w) = 4*w + 10. Determine c*t(v) + l*u(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135684725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrmmkwwrrrswmwwmwrm. What is prob of sequence smwr?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/60 - 13\/(-6). Let o(b) = 5*b + 2. Let p be o(0). What is the third derivative of 0*h**2 - 4*h**p + 2*h**a - 2*h**4 - 9*h**4 wrt h?\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = q - 70, -7*q = 3*l - 2*q - 64. Let k = 5 - 5. Suppose k*t + 13 = t. Calculate the greatest common divisor of l and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + (-120)\/(-50). Suppose j + 5*s + 0 = -1, s + 20 = z*j. Suppose -q + 5*a = 20, 4*q - j - 6 = a. Solve 10*n - q*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 73. Suppose r*j - 6*j = -28. Let f be 1\/(j\/10 - (-5)\/(-25)). Solve -f*c + 6 = -p, 0 = c + p - 0*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxsh when four letters picked without replacement from qwscqchcxsxhcx.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 35*c**2 + 34*c + 56. Let b be u(34). Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 60 - 248*n - 51 in the form o + q*n and give q.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:49 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -16. Suppose 4*w - 10 = g. Suppose j + w*n = 12, 6*n - 4 = 2*n. What is the highest common factor of j and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 = 4*z + g, 3*z = 2*z + g + 166. Suppose -320 = -5*u + z. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*y - 2*g, 0 = 3*g + 11 - 2. Calculate the greatest common divisor of y and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10866439 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/96282 and 39\/62.\nAnswer: 2984742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6158865*g*s + 26708*s - 94 wrt g?\nAnswer: -6158865*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 7836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21208920885 + 285\nAnswer: -21208920600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9838 times 212?\nAnswer: -2085656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10 + (-15 - -9 - -14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1e50e0?\nAnswer: 1e50de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -638686696.56 less than 0.4?\nAnswer: 638686696.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 38*a**2 - 262*a - 7287. Give m(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 126198?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + 2*sqrt(1701)*4 + -4*(sqrt(1701)*-1 + sqrt(1701)))\/((1*sqrt(1260))\/(-3*2*sqrt(5))).\nAnswer: -81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -2\/125, -2\/11, -4 in increasing order.\nAnswer: -5, -4, -2\/11, -2\/125, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/17 - -925\/204. Are d and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/43? (a) 1\/6 (b) 3\/4 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234447405 to the nearest integer?\nAnswer: 15312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 43 = 4*j. Solve j*r + 3*w + 12 = 0, 5*r - 1 = 2*w - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 176174 = -108*k. Suppose -3*b + 44818 = -5*n, 4*b + 3*n + 28320 = k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t**4 + 524*t**3 + 3208*t**2 + 6096*t - 2016 = 0. What is t?\nAnswer: -7, -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1699, -1700, -1701, -1702, -1703, -1704?\n\"Answer: -l - 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*a**4*b**2 + 6*a**3*b**2 - 36*a**3*z + 259*a**2*b**2*z - 6*a**2*z + a*b**2 wrt a?\nAnswer: -960*a*b**2 + 36*b**2 - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1102 - -1645. Let o = k + -342. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 7*u. Solve -y = -b - 2*b - 1, u = -y + 4*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-32)*40 + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2406558 * 0.1\nAnswer: -240655.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -28, -3*g - 264 = -6*g - 39*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3313310334 (base 5) to base 4\nAnswer: -123111212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*f + 3*f - f)*(6 + 7 - 4) - 4*f + 2*f + f)*(-4*f**4 - 3*f**4 + 4*f**4) + 0 + 3*f**5 + 0.\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3.999965. Let q = 0 + v. Round q to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/4)*c)\/c*c\/c**(-4)*c)**(-7)\/((c*c**(-2\/9)*c*c**(-4\/9))\/(c\/(c\/(c**2\/c*c))*c\/(c*c**(-3\/5)*c*c))) assuming c is positive.\nAnswer: c**(-2249\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 + k - 2. Let x be r(5). Let l = x + -1. What is the third derivative of 0*t**2 + l*t**2 - t**3 + 0*t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6128\/(-1394120)*10\/(-2)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 3*s + 2*s + (s + 1 - 1)*(6 - 1 - 46) + 4*s + 2*s - 3*s - 2 + s + 2 + (4 + s - 4)*(2 - 1 + 0) - s - s + 0*s - 2*s - s + 4*s as p*s + m and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5 - 57*l + 58*l - 3 + 0. What is d(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-6)\/20). Let u = -3 + 2. Let s be (1 + u + 45)\/1. Calculate the greatest common factor of l and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257829710?\nAnswer: 2, 5, 47, 593, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -15. Suppose -5*i + 18 = -3*u, 2*i - 5*u = i + c. Does 17 divide (102\/4)\/(i\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(208)*2)\/sqrt(8))\/sqrt(2) - (sqrt(1573) + 4 + -3 - sqrt(1573))) + 3.\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16128976, -32257952, -48386928, -64515904, -80644880, -96773856?\nAnswer: -112902832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30351827 to the nearest integer?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.424 - 0.42603. What is z rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -64*l**3 - 11*l**2 - 62*l - 7. Let s be c(-5). Suppose 16*i + s = 20*i. What are the prime factors of i?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67990.993 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*o**2 - 52*o + 149*o**2 - 211*o**2 - 215*o**2.\nAnswer: 10*o**2 - 52*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/7, -1541, 318\/7, -2 in decreasing order.\nAnswer: 318\/7, -4\/7, -2, -4, -1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 2*c**2 - 2*c + 1. Let w be v(2). Suppose 4*t + 3 = -w. Is -3\/2 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23912 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45 - -2?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3612439, -7224962, -10837485, -14450008, -18062531?\n\"Answer: -3612523*u + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5 - j - 7 + 1 + 0. Let r be k(0). Let w(v) = -42*v**3 + 2*v**2 + v. What is the remainder when w(r) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 39048*u\/7 + 588870.\nAnswer: -2*(u - 19629)*(u + 105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380635 and 11320?\nAnswer: 3045080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 128881, 128865, 128859, 128869, 128901, 128961?\n\"Answer: n**3 - n**2 - 20*n + 128901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + a = -0*p + 15, -3*a = -5*p + 21. Is -4 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*w + 25 = 0, v - 2*w + 1 = -0*v. Let a be (5\/2)\/(v\/10). What is the smallest value in -0.5, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841482666 to the power of 1\/2, to the nearest integer?\nAnswer: 42913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*-1*(sqrt(95)\/(1*sqrt(45)) + -5 + sqrt(171)*-1))*3)**2.\nAnswer: 4416*sqrt(19) + 24217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 66 = u, 3 = -4*u - 1. Let g(f) = -o + 13 - 3*f**2. Let p(n) = n**3 - 4*n**2. Suppose 9 = -d + j, -5*j = -2*d - 29 - 4. What is d*g(k) + 3*p(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160218 and 598023?\nAnswer: 51429978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/2435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5242 = -q - 11458. What is q rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwvvwvvwvvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*u + 301 = 0, -2*f - 3*u = f - 246. Suppose 8*d - 1169 = f. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - ((-2 - -6) + -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iikkiiikkiikkkkkiii. Give prob of sequence ik.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(5 + -5*(-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/91400 and -67\/342750?\nAnswer: 1371000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqr when four letters picked without replacement from {q: 3, r: 1, s: 4}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -139*o**4\/3 - 2339*o**3\/6 - 2*o**2 + 637. What is the first derivative of v(f) wrt f?\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 4 = 4*h. Let w = -23 + h. Let r(v) = 15*v**2 - 11. Let y(j) = -3*j**2 + 2. Let k(q) = w*r(q) + 11*y(q). Let p(z) = 12*z. What is p(k(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.08 (b) -1 (c) 0.5 (d) 1130 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3 - 5*d**5 - 4*d**5 - 2*d**5 + 3*d - 400*d - 2*d**5 wrt d?\nAnswer: -260*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4829.04866 to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Let z = n + 45. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 2*i + 11. What is the remainder when 103 is divided by r(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 28 + 36 = 4*j, -3*g + 9 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}