{"text":"Question: Solve -k - 3*a = 5, -155*a = -5*k - 157*a - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2. Let u(s) = -16*s + 33*s - 17*s + 21*s**2. Calculate k(u(n)).\nAnswer: -441*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 235 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 17. Let x be 3\/108 + 3\/j. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5, 3217, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -2*f + 2. Let k(m) = -12*m - 2. What is the units digit of k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + n - 3)*(3*n**2 - 4*n + 4*n) + 0 + 0 + 2*n**3 - 7*n**3 + 2*n**3 + 3*n**3 + (-3 + 3 + n**2)*(7 + 8*n - 7).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 0.44, 5?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccpp when four letters picked without replacement from pcpcccpchppccchcpc?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -31.6 - -30. Let w = 1.5999998 + p. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**3 - 20*l**2 - 48*l - 7. Let y be d(12). Let j be 1 - (0 + 4\/6). Which is the second biggest value? (a) -0.4 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 52415216011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -627.8 in 109, 0, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 + 10*a**2 - 9*a. Let l be m(9). Suppose 4*d + 0 - 8 = l. Suppose d*b - 10 = 34. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 10977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r**3 - 2*r**2 + 2*r - 2. Let m = -3 + 6. Let y be x(m). Suppose f = 2*f - y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u + 5*f - 46, 29209*u + 5*f = 29286*u + 338 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 5868 by 2.\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000143271 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10145 is divided by 299?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-13)\/((-520)\/(-30))*5\/(-3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 285, 598, 1059, 1668, 2425, 3330, 4383?\nAnswer: 5584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 0*b - 45. Suppose -5*x + 45 = -b. Let c(l) = l**2 - 1. Calculate the lowest common multiple of x and c(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -155510, -316080, -476650, -637220?\nAnswer: -797790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (1 - 1 - -1)*(44 - 43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*r + 152 = 38. Let m be (-2)\/(6\/(-90)*r). Let s = -2 - -2. What is the nearest to 0.1 in s, m, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4769 - 50308713.821.\nAnswer: -50308713.3441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k, 1 e, and 1 o when four letters picked without replacement from {e: 4, o: 10, k: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/((-24)\/540*-9). Solve r*j = 5*n + 15, -2*n + 0*n - j = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-3 - (-3 + 0)) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2923*p = -2988*p - 260 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 4*u - 6. Suppose 2*x = -j + 8 + 6, 4*j + 34 = 2*x. Suppose -x + 5 = -k. Determine i(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-5943)\/(-1698)*880\/(-56)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 928 divided by -6\nAnswer: -464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k**2 + 7*k + 2. Suppose 4*w - l = 2*w + 18, 0 = w + 4*l + 9. Let b(f) = 2*f**2 - 4*f - 1. What is w*b(i) + 4*d(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 122 a factor of (-8 - (-6 + -3)) + 14395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37583 is divided by 324.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 + 20*s**2 - 36*s - 16. Let p be f(18). What are the prime factors of p\/8*(-3 + -455)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 110*b + 203*b - 66 - 33*b. Let o be i(6). Let w = -673 + o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, e: 1, b: 1, u: 2, k: 1, l: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 291770 and 2685.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 104 - 205 + 101 - 25*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be 242\/(-8) + (-4)\/(-16). Calculate the common denominator of (-568)\/(-30) - 12\/l and 77\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o + 2. Let r be (-4)\/((-16)\/69)*4. Let p(k) = -4 + 1 - 71*k + r*k. Let v be 2\/(-4)*(3 + 1). Give v*p(a) - 3*x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 40 = 4*j + y, -20 = -5*y. Put 3, -3, j in ascending order.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3223059 is divided by 128?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 5*n = -9, -3*i = -n + 4*n - 9. Let r = -5\/18 + -7\/18. Let a = 0.3 - 0.3. Sort a, i, r in ascending order.\nAnswer: r, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/12 + (5 - (-6 - -13))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 33 and 770077.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, x: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.13 in -4\/7, 3\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 902529283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hnnnnnnnnnnhhnhhnnnn. What is prob of picking 1 h and 3 n?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of -t + 19 - 3\/4*t**2 - 1\/6*t**3. Factor j(o).\nAnswer: -(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v. Let j(a) = -97790*a. What is k(j(r))?\nAnswer: 195580*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from gctgiccc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4016402?\nAnswer: 2, 13, 179, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be 51\/7 + (-4)\/14. Let d(y) = y - 12. Let v be d(9). Let h = v + u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 111, 146, 187, 228, 263?\n\"Answer: -h**3 + 9*h**2 + 15*h + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 1 = -0. Suppose v - 6 = j. Solve 3*m = v - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 447\/135)*36\/(-8)*-1.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x + 5*x + 0*x)*(0*x**2 + 0*x**2 - 4*x**4 + (0 + 0 + 2)*(x**4 - 4*x**4 + x**4) - 4*x**4 + 0*x**4 + 3*x**4 + 3*x**4 + 3*x**4 - 4*x**4).\nAnswer: -63*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -7.73 - 31198296581\nAnswer: -31198296588.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.632 - 3.4649. What is y rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, k: 1, r: 11, f: 6}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 + (136 - (32 - (-1 - 8))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 10*r - 1 - 12*r + 9 - 3 + 15*r**2. Let u = -1 + -2. What are the prime factors of n(u)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**2 + 10*p + 13. Let s be i(-10). Let k be (3\/(-2) - -1)\/(s\/(-16354)). Let h = k + 4271. Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -503230, -1006488, -1509746, -2013004, -2516262?\nAnswer: -3019520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -5404*u**3 + 6*u**2 + u - 4. Let w be q(-1). Calculate the greatest common divisor of w and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 5235959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 239010 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w + w + 4*w + (44 + 15 + 38)*(0*w - 3*w + w).\nAnswer: -192*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 - f**2 + 1. Let s(o) = 66*o**3 + 4*o**2 - 10. Calculate s(p) + 10*w(p).\nAnswer: 76*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/7 + -1*(-75)\/35. Let l(d) = d - 12. Let v be l(16). Sort -6, z, v, -5 in ascending order.\nAnswer: -6, -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 5, s: 1, h: 2, z: 1}. What is prob of picking 2 z and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 20*i + 20. Let j be h(-19). Let t be (-1 - j) + 4 + 1. Which is the third smallest value? (a) 5 (b) 3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -m - 2*s + 2, 2*s - 38 = 4*m. Let g be 28\/m - (-18 + 0). Does 17 divide 54 + (4 - g\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -11*r - 23. Let x be b(-7). Calculate the greatest common factor of x and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-2)\/(-27))\/((-16)\/1236) and 59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + 2*c**2 + c + 7. Let d be n(3). Suppose 5*q = 21 - d. What is the tens digit of q\/14 + 68\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -5*b + 16 + 7, 0 = 3*b - 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 - g. Let y(b) = -196*b**4 + 78*b**3 + 96*b**2 + 10*b. Let w(u) = -6*h(u) + y(u). Let w(j) = 0. Calculate j.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -132 = 3*j - 2*a - 109, 2*j - 393 = -57*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -150\/11 or 2\/3?\nAnswer: -150\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-90)\/((-162)\/(-9)))\/(2\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 52 + -277\/6. Let u(l) = 0*l - 2 + l + 11. What is the common denominator of u(10) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -316 - -318. Solve 16 = 2*p + 2*j + 2*j, c*p - 5*j + 29 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 5*t - 107. Solve -12 = h - 3*m + 8, h - 5*m = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.18 + -0.18. Let j = -4.4 - -1.4. Let w = 0 + -0.1. Which is the nearest to w? (a) -2 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12 + 36. Let z = -27 + g. Let p = z - -5. What is the fourth biggest value in -3, p, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 1:03 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of -w**8\/50400 + w**7\/6300 - w**6\/1800 - w**5\/20 - w**2. Let n(c) be the third derivative of f(c). Factor n(k).\nAnswer: -2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 18545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 23 + 2 = 3*d, 50*d + 11 + 174 = -5*a - 0*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 188246983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11443.272903 - -8954.27408. Let z = g - -2489. What is z rounded to five decimal places?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -7*w**2 - 27*w - 5. Let f(a) = a**3 - 3*a**2 - 14*a - 2. Calculate 5*f(g) - 2*m(g).\nAnswer: 5*g**3 - g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 + -21*(-3 - 16\/(-6)). Suppose -d*r = -24*r + 5130. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1593645.6 plus -28?\nAnswer: 1593617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1\/9)\/(-2*1\/(-168)))\/(8\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-54)\/(-15)*(-10)\/(-6). Let b be (v + (-96)\/18)*(-30)\/(-4). Suppose 3*h + 2*r + 5 + 5 = 0, -b*h = 3*r + 15. Solve -5 = 5*z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8788033 centuries in millennia?\nAnswer: 0.08788033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*r + 4*c + 16, 5*r + 3*c + 9 = 0. Let x = -3 - -3. Solve -4*y = 2*u, -2*u + r*y - 2*y - 2 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l**4 + 9735630*l**3 + 11847796833658*l**2 - 35543458650414*l + 23695652081124 = 0 for l.\nAnswer: -2433909, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -166*t + 17*t**3 + 166*t + 3 to o*t**2 + p + b*t**3 + d*t and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 9*u**2 + 11*u - 4. Calculate l(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(-20) - 162319\/(-410).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of -1\/60*v**6 + 3*v**3 + 0*v - 5\/4*v**4 + 0 + 7\/30*v**5 + 14*v**2. Let m(f) = 0. Calculate f.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -171226.137 - -171366. Let p = 140 - a. What is p rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3, 989, 2631, 4929, 7883?\nAnswer: 11493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-7))**16*c**(-5\/3)*c**(-3) assuming c is positive.\nAnswer: c**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 59*m**2 - 51*m**3 + 101*m**3 + 6*m**4 - 50*m**3 - m**3 + 14*m**2 in the form x*m**3 + w*m**4 + z + o*m**2 + n*m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -d**5\/3 + 64*d**4 + 5081*d**3\/3 + 7364*d**2 + 33620*d\/3 + 5472 = 0.\nAnswer: -19, -2, -1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -466\/95 - -78\/19. What is the biggest value in 0.8, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of 0*b**2 - 1\/4*b**4 + 1\/720*b**6 + b + 0 + 0*b**3 + 0*b**5. Let n(l) be the third derivative of g(l). Calculate n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -16, -26, -2, 56?\n\"Answer: 17*h**2 - 61*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 896884?\nAnswer: 2, 224221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 5*u = -3*z + 160653, -4*z + 68835 = 3*u. What are the prime factors of u?\nAnswer: 3, 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110160?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 3617 (b) -5 (c) 0.5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and -884508.\nAnswer: -884508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 16) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04794 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n - 6. Let a be p(6). Suppose -3*q + 4*q - 28 = a. Calculate the remainder when q is divided by 61\/4 + 2\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of -4313*u**9\/504 - 335*u**5\/6 + 3744*u**2. Find the third derivative of f(d) wrt d.\nAnswer: -517560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16 in -0.02, 3\/31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 992 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 565910781?\nAnswer: 3, 509, 370603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -67*f**3 + 605*f**2 - 253*f + 2121. Determine n(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3643 - 47662?\nAnswer: -53525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4484371 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 common denominator of -59\/50 and -37\/3060?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 9*r**2 - 95*r + 56. Determine a(11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = -5*a + c, -7*a + 2*a - 55 = -5*c. Let g be ((-1)\/(-2))\/((-1)\/a). Solve -3*j = -4*t - 7*j + g, -2*t = 4*j - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 13 = 4*r - 5*r, 0 = 4*r + 5*x - 43. Suppose -7 = 6*j - r*j. Suppose 5*f = -3*v + j, 4*f = -0*v + 3*v - 16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -635, 4, -4, 35, 5 in ascending order.\nAnswer: -635, -5, -4, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 473\/304 + -26\/19. Let d be 472\/(-192)*(-15)\/2. Let t = d - o. What is the common denominator of -53\/6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 122 - ((-4 - 0 - (4 - 5)) + (4278 - 4263))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1240*k - 1239*k - 4915 + 9836 - 4913.\nAnswer: k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.84233066 rounded to 3 decimal places?\nAnswer: 0.842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 2*z - z)*(5 - 2 + 2) + (-3 - 2 + 3)*(4*z - 5*z + 0*z) - 4*z + 0*z + 12*z - 9 + 9 + 4*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/(-18)*(3 + (-15)\/(-5)). Let j = 170 - 169.9. Which is the closest to j? (a) 0.3 (b) -1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**5\/19 + 2288*v**4\/19 + 647468*v**3\/19 - 3946808*v**2\/19 + 5942050*v\/19 - 2645000\/19 = 0. Calculate v.\nAnswer: -575, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)*-1)\/sqrt(7) + sqrt(15) - sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -6*p + 3*p. Calculate the smallest common multiple of 10 and (-190)\/(-45) - (-4)\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3\/3 - 109211*k**2 + 3276239*k\/3 - 982869.\nAnswer: (k - 327623)*(k - 9)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -338 = a + 4*f, 3*f + 157 = -a - 186. Let v = 831 + a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-15)\/(-10) + (-369)\/6. Let a = 64 + c. Let x(b) = -1 - 5*b**2 - 1 + 7 + 3*b + b**3. Calculate x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1274 a factor of 1133860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 177064489?\nAnswer: 7, 516223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1.6, -72, -5.\nAnswer: -72, -5, -1.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.967 + 2.231. Let n = q - 3.19806012. Round n to six dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -46.6 + 36. Let p = 11 + k. Let y = -6.878 + 6.578. Which is the closest to 1\/6? (a) p (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*w - 7*b + 542 = -2*w, 5*w + 592 = 169*b - 162*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 - -369.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 36.29603 decades to millennia.\nAnswer: 0.3629603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*i - 3. Let y be (i - 7) + 12\/3. Which is smaller: y or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 603*i + 294. Let s(z) = -1206*z - 539. Calculate 11*h(q) + 6*s(q).\nAnswer: -603*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -16365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87 + 87 + 182*u**2 - 7*u.\nAnswer: 182*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -144*l**3 - 22*l**3 - 121*l**3 + 3287*l + 479*l**2 - 3284*l - 57*l**2 wrt l?\nAnswer: -1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -42 divided by 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**2 + 14*c - 23. Let x be r(11). Solve x = -23*u + 18*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 12 = 5*v - 62, 2*l - 30 = -3*v. Calculate the least common multiple of v and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 + 11. Let l be 4\/t - (27 + 6). Let v = -16 - l. Solve 4*w - v = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -471 - -1670. Calculate the least common multiple of g and 436.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from vhsshvsxfs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 24723160 a multiple of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 359999707*m**2 + 139094460*m wrt m.\nAnswer: 719999414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 616 (base 8) to base 3\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 36 = 4*l. Calculate the greatest common divisor of l and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 603804051*o. Let u(b) = b**2. What is t(u(a))?\nAnswer: 603804051*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 218 - 22. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -256237, -512478, -768719, -1024960, -1281201?\n\"Answer: -256241*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 748619 - 464682. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -14*r - 1. Let z be y(-1). Let x = 10 - z. Let s = 11 + x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 6*(3 + ((sqrt(99)*-4)\/sqrt(9))**2).\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24665 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/(-84) + 0)*(-2)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*o - 6 + 34 + 11 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 9:45 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 5 - 0. Suppose 0*o - o = -l. Which is bigger: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, -11, 6, -276 in increasing order.\nAnswer: -276, -11, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(72)\/sqrt(36) - sqrt(8)) + sqrt(200)*-3)\/(5*sqrt(64)*-3*-6).\nAnswer: -31*sqrt(2)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -42 - (-60)\/3510*2454\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-3) + (-4)\/(-6). Let w(n) be the first derivative of 2*n**3 - 73*n**2\/2 + 16*n - 5. Let b be w(12). Solve b*y - l = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -103 + 68 + 39 + 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2148738 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 28115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-8 - (2 - 1 - 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-132))\/(-8)*6\/(9\/3)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -2*n - 10. Let r be (-4)\/20 - (-22)\/10. Suppose -12 = 2*b + r. Give m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -169*j**2 + 1506*j + 27. Let z(q) = -2*q**2. Give f(z(u)).\nAnswer: -676*u**4 - 3012*u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3766 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -c + c - c + 4560*y - 4559*y - 6, -12 = c - 4*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - -7. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/5839 + -344509\/23356. Suppose 5*x - 6*v = -v + 47020, -2*v = -6. Let d = -150611\/16 + x. Calculate the common denominator of d and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11782982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(243) - ((1 + sqrt(243) + sqrt(243))*-5)**2.\nAnswer: -24325 - 891*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 158008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/13))**(-45) assuming n is positive.\nAnswer: n**(90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -43bb20 (base 12) to base 10.\nAnswer: -1078152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7)\/(-20) - ((-74)\/(-24) + 371\/(-159)). Are l and 280\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 9150 and 0.55.\nAnswer: 9150.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1990099*v**5 - 2*v**4 + 2891784*v**2 - 3*v.\nAnswer: 119405940*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -76*z**2 + 1839*z**3 - 3674*z**3 + 9*z**2 + 1838*z**3 in the form n*z**3 + g*z**2 + x + d*z and give g.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 8435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5378429*m**5 - 17*m**4 - 53*m**2 - 5*m + 29006?\nAnswer: -322705740*m**2 - 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(204) + sqrt(204)*1) + -4*sqrt(204)*4)\/((sqrt(432)\/(sqrt(24)\/sqrt(2)))\/(sqrt(3) - sqrt(432)*2)).\nAnswer: 414*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 4*x + 6, -2*x - 5 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (7294\/1563)\/((-6)\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 197*y**4 + 5*y - 35*y**3 - 439*y**4 + 244*y**4 as p*y**4 + l*y**3 + a*y**2 + t*y + r and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 277253 is divided by 1216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(8\/3*(-4 - (-11)\/(-22)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 63*v + 2 - 61*v + 6 + (-2 - 2 + 6)*(2*v + 2*v - 6*v).\nAnswer: -2*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1745 is divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 60449.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/2098740 and -73\/2850.\nAnswer: 10493700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -11804310*f**2 - 426388263 with respect to f.\nAnswer: -23608620*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -0.2, -1\/3, 35, 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 740.1 * 1\nAnswer: 740.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**3 + 33*r**2 - 1815*r + 11979.\nAnswer: 3*(r - 11)**2*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 + -1001010000011111?\nAnswer: -1001010000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-28)\/(-182) + 16\/234. Let m = 0.1 + -0.2. What is the closest to m in -0.1, r, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {e: 8, i: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1973 - -1334. Let a = 631 + p. What is the closest to 0.13 in -5, a, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -1) + (2 - -15) + -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9584646 to the nearest integer?\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -2517?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**4 + 2*q**4 - 2*q**4 + (-1 + 1 + q)*(-2 + 6*q**3 + 2).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-112)\/(-64) - 2\/(-8). Let n(k) = -5*k**2 + 2. Let h(l) = -6*l**2 + 3. Suppose -4*c = c + 15. Give c*n(d) + j*h(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 + 11. Let w(x) = -2*x**2 + x - 1. Determine w(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange a + a**2 + 4*a**3 - 1 - 18*a**4 + 10*a**4 + 6*a**4 + a**2 to the form n*a**4 + q*a + x*a**2 + l*a**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2889174 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 4*o + 18 = 54, -2*x - 3*o = 8. Let y(g) = 2*g**2 + 14*g + 10. Let t be y(x). Solve -4*r = 20, -r - t = d + 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00951 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -22\/32555 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 4366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + 3. Let f be (-10)\/d - -2 - 0. Which is bigger: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 599508 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 190 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.162831ns to seconds.\nAnswer: 0.000000000162831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 - u**2 - 2. Let c be l(0). Let h = c - -9. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2\/4 + 35375*k - 1251390625.\nAnswer: -(k - 70750)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 24.784 and 0.5?\nAnswer: 24.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + -1588?\nAnswer: -158b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 - d. Let s(h) = -6*h**2 - 7*h - 7. Let r(w) = -s(w) + z(w). List the prime factors of r(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-744)\/(-310))\/((-7)\/((-210)\/(-12))*-13).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times -0.12129?\nAnswer: 0.060645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 146 - 147. Let x(g) = 27*g**3 + g**2 + 2*g + 1. Determine x(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -4, -33, -62, -91, -120?\n\"Answer: -29*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes after 9:37 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 872103 is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -3*u**2 + 11 + 7*u - 9*u**3 - 8 + u**2 - 1. Let t(b) = -8*b**3 - b**2 + 6*b + 2. Give 6*k(g) - 7*t(g).\nAnswer: 2*g**3 - 5*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20476 + 9468 = 19*o - 38*o. Which is smaller: -1572 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16895354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h**2 + 7*h + 5. Let i be r(-5). Let b be i\/(-236)*(-1)\/(-4). Let g = -3649\/590 + b. What is the common denominator of g and -33\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 2\/7, -332276, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/7)\/3 + (-18172)\/196. Let y = 102 + w. Solve -2*p + y = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 422418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-6))\/((-7)\/14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 392 = -145*j - 478 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-4) - -1) + 2 + -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2*u - 16 = 0. Let a = 13 + -10. Sort a, u, 0 in descending order.\nAnswer: u, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47230 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0*1\/(-4)*2. Suppose -7*t - 22 - 6 = p. Let o(z) = z**2 + 5*z + 5. Calculate o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(0 + ((sqrt(272)*-5 - sqrt(272)) + sqrt(272) + -4 + 4 + -3)**2).\nAnswer: 720*sqrt(17) + 40854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + -7. Let l = 578945 - 578971.00011. Let t = m - l. Round t to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.6 - 0.9. Let k = r + 2.3. Let y = 45 - 179\/4. What is the closest to y in k, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 5*w = 4, 4*w + 26 = 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 417 + 103 = 0. Let y(r) = 450*r**2 - 65*r. Let k(q) = -41*q**2 + 6*q. Determine j*k(i) + 6*y(i).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from slssslsl. Give prob of picking 1 l and 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 164 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.05 (b) -2\/31 (c) 4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - -2. Let j = 56.1 - 56.2. Which is the closest to j? (a) p (b) -12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 - -8. Let n = 43 - 44. What is the smallest value in n, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2148.3099 months to millennia.\nAnswer: 0.179025825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -4*g**2 - 10*g - 21. Let z(k) = -7*k**2 - 20*k - 49. Let m(s) = -9*p(s) + 5*z(s). Determine m(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -138 + 96. Let p = h + 41.7. Let z = -12 - -12. Which is the nearest to 0? (a) z (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72\/(-21)*(-4)\/16?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 95 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -42, -69, -102, -147, -210, -297, -414, -567?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1912798.\nAnswer: 2, 956399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 242*r**3*z**4 + 29*r**3*z**3 - 910*r**3*z**2 + 12*r**2*z**2 - 2*z**3 wrt z.\nAnswer: 5808*r**3*z + 174*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/((8\/((-304)\/(-2)))\/(4\/(-8)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 10 = -3*k. Let i(z) = -2*z - z - k*z + 3*z + 5*z**2. Let s be i(-1). Solve x = s - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -211332 - 2000?\nAnswer: -213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 u when four letters picked without replacement from {w: 4, u: 1, r: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*k + 11. Suppose -a - 567 = -3*f - 6*a, -k*f = -5*a - 403. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*x**2 - 8728*x - 1746.\nAnswer: 2*(x - 873)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 0. Let z = -0.1 + 0.2. Let w = 7.3 + -7. What is the nearest to w in 0.4, z, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -304, -306, -308, -310, -312, -314?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 40428359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2080 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/(-2)*6392\/(-580074)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + ccff?\nAnswer: cd02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4042514 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z. Let v(q) = 7*q**2 - 6*q - 198. Let u(n) = -6*n**2 + 5*n + 197. Let o(c) = 6*u(c) + 5*v(c). Calculate o(j(h)).\nAnswer: -h**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -142505, -575591, -1297401, -2307935, -3607193?\n\"Answer: -144362*q**2 + 1857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 + 12 = 11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -66 - -295. What are the prime factors of x?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1 and 3246.87772?\nAnswer: 3245.87772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4, -2, 4, 1787, 5.542 in increasing order.\nAnswer: -2, -1\/4, 4, 5.542, 1787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*t - 15 = -5*a + 21*t, 3*t = 12*a - 42 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 28196218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -2840c (base 13) to base 7\nAnswer: -432533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 + 22. Suppose -r - 11 = -a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13373273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110010010000010000111 - -110?\nAnswer: -110010010000010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -93932+-0.878\nAnswer: -93932.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1a9118 (base 13) in base 6?\nAnswer: -22301350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w + 1. Let k be b(-1). Suppose -6 = 3*y - 4*r + 1, 0 = -k*y + r + 2. Suppose 5*i - 63 = -y. Calculate the remainder when 22 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -210.718011+10\nAnswer: -200.718011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -6 (b) -2 (c) -4 (d) -123 (e) 3\/8 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 AM and 5:51 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 AM and 7:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 6 = -3*j, 4*q + 1 = -2*j + 19. Suppose 5*i = q + 3. Let v = 4 - i. Solve 0 = -w + 2*g + 6, -w - 4*g - 8 = -v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -458, -920, -1382?\n\"Answer: -462*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3*f = 26 - 5, 17 = -k + 4*f. Suppose k*t = -2*s - 14, -3*s + 1 = -0*s - t. Let w(n) = -202*n**3 + 2*n + 1. Is w(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(931) - (sqrt(209)*-2)\/sqrt(11).\nAnswer: -3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.43 - -0.01. Let w = a - 0.74. Let k = -12 + 12.1. What is the third biggest value in k, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 356 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -122*y**2 + y - y + 2 - 4 + 692*y**2 to the form b*y + j + c*y**2 and give c.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -10 divided by 2240129\nAnswer: -10\/2240129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 5*y + 12, -4*y - 30 = -5*c + y. Let 10\/9*h**2 - 2*h + c*h**3 + 4\/9 - 14\/9*h**4 = 0. What is h?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143493 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 58, 26, -90, -290, -574, -942?\n\"Answer: -42*m**2 + 94*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 1, 0.3, 3, 1\/3, 27.\nAnswer: -0.2, 0.3, 1\/3, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11369\/6 + 1909. Suppose -3*h + 41 = 77. Calculate the common denominator of j and 498\/16*2\/h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the second derivative of -2*z**4 + 0*z**3 - 23*z - 3\/5*z**5 + 0 + 0*z**2. What is the third derivative of u(h) wrt h?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 7690*w + 192282. What is q(-25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of m**8\/3360 - m**7\/420 + m**6\/120 - m**5\/60 + m**4\/8 - m**2. Let b(c) be the second derivative of p(c). Factor b(l).\nAnswer: 2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -390199\/44 - -8869. Is v at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -11619 - 91\nAnswer: -11710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/24*(-11)\/(132\/(-8))*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2246904 millennia to years.\nAnswer: 224.6904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3679466000 rounded to the nearest 1000000?\nAnswer: 3679000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1682\/1015 - (-6)\/(-7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5640 by 12.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 2*y + 1. Let f(b) = -b**2 - 6*b - 7. Let k be f(-5). Let c = k + 4. Suppose -3 = -c*r + 3*m, r + 2*m = -2*r + 11. Determine z(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*x + 18*x = -4*b + 22, b + 6 = 5*x. Solve o = 2*h, 2*o - h - x*h = -2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 AM and 3:19 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(121)*2)\/(sqrt(110)\/(sqrt(20)\/sqrt(2))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -12*h - 7. Let x(u) = -6*u - 3. Suppose -3*l - 6 = -10*l - 20. What is l*m(r) + 5*x(r)?\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 5*c = -16, q - 4 = 4*c - 1. Let p = -23 + 34. Solve -4*o = w - q, 4*o + 2*w = -1 + p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 209 and 90170960?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -617.00003794 + 617. Round z to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81410.\nAnswer: 2, 5, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q**2 + 343*q - 6193. Calculate f(151).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 92 and 3634?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10 times -0.11\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 22 + (-12 - 2) - (0 - -20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 5) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 4055*f**2. Let p(l) = 23*l. Calculate g(p(b)).\nAnswer: 2145095*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in -2232, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60\/(-210)*(-14)\/(-18) + 22\/126.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.13615um in centimeters?\nAnswer: 0.000413615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 661, -229, -1085, -1907, -2695, -3449?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 786642 is divided by 98321?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -2*z + z + 405, -3*z + 2*y + 1190 = 0. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4320680 and 21.\nAnswer: 12962040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(24)\/sqrt(8) - sqrt(3)) + sqrt(3) + (sqrt(384)\/sqrt(8))**2)*4.\nAnswer: 4*sqrt(3) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*c**3*o**3 + c**3*o + 11*c**3 + 6*c**2*o**3 + 263*o wrt c?\nAnswer: 24*o**3 + 6*o + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.298053 or 168?\nAnswer: -0.298053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 654 + -3272\/5. Suppose 11*g = 15*g - 216. Let w = g - 215\/4. Sort 1, r, 2\/7, w.\nAnswer: r, w, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-8)\/3*9\/(-6). Suppose 3*u = -3*q + 21, -b*q + 3*q = -u - 3. Solve u*f - 4 = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 d, and 2 a when four letters picked without replacement from {e: 2, x: 1, a: 4, w: 5, d: 2}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*u**3 + 8*u - 10*u - 1 - 712*u**2 + 1.\nAnswer: 2*u**3 - 712*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 87\/302 = 0.087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 11056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 4)*(-y - 3 + 3) + 450 - 26*y + 292 + 25*y.\nAnswer: -2*y + 742","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/9))**(5\/8)\/(x**5\/(x**(2\/13)\/x)) assuming x is positive.\nAnswer: x**(-2801\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of z**8\/168 + 5*z**4\/24 + 2*z**2. What is the second derivative of u(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 16174.\nAnswer: 113218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - 0 - (5 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l**(-7\/4)))\/l)\/(l*l**(-2\/3)*l) assuming l is positive.\nAnswer: l**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of -r**4\/4 + 7*r**2. Let p(k) = -7 + 7 - k**2. Calculate p(y(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2 + 4*d - 13. Let l be s(-7). Suppose 40 = l*a - 6*a. Suppose 5*o - 33 = -2*h, -o = -5*o + 5*h. Solve -o*p = -p + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*(a**(4\/9)\/a)\/a*a)\/(a*a**(-44)*a))**(-5\/2) assuming a is positive.\nAnswer: a**(-955\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 - 5*w**2 + 4*w - 4. Let i(p) = p**3 - p**2. Let a be i(1). Let d be 99\/27 + (-2)\/(-6). Let l = a + d. Determine r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 65.53?\nAnswer: 131.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -6*x - 167. What is j(-37)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*a - 27 = a + 4*a - 2*o, 7466*a + o + 18 = 7464*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (2 - (-74 + 41 - 0)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 883166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 11 * 5\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 413127024.\nAnswer: 2, 3, 79, 108947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13270 is divided by 1724?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 145023449.\nAnswer: 9739, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, -0.05, -586 in descending order.\nAnswer: -0.05, -3\/2, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8.7 - 0.1. Let v = -4.6 + u. Which is the third biggest value? (a) -6\/11 (b) 4\/3 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1705 + 23921\/14. Let g = 21291\/20 - 1062. Find the common denominator of g and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**3 + m**2 + 3*m + 8. Let g(t) = 169 + 168 - 499 + t + 165. Calculate 8*g(c) - 3*q(c).\nAnswer: 3*c**3 - 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.27 + 1.217. Let a = -0.147 + y. What is the closest to -2\/7 in -2\/11, a, 0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 62209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 829 is divided by 205.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -285, -414, -541, -666, -789?\n\"Answer: i**2 - 132*i - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0\/((-1)\/(-1) + -2). Let a = -1 + t. Let z(s) = 3*s - 1. Let w(i) = i + 1. Let h(k) = a*z(k) + 2*w(k). What is h(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15332.9 - 14568. Round n to the nearest ten.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -2 + (380 - 3) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 + 4*f**2 + 6*f + 2. Let j be x(-1). Let k(q) = 5*q**2 - 6*q**j + 4*q**2. Let d(p) = -2*p. Determine k(d(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2347162 is divided by 412?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - r - 1201 = 0, 0 = -3*g - 32*r + 34*r + 722. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-26)\/4)\/(((-21)\/14)\/((-54)\/(-18)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(900)*4 + (1*sqrt(432))\/sqrt(12))\/(2*1*sqrt(12)*-2))**2.\nAnswer: 11907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 948718654?\nAnswer: 2, 13, 101, 361279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 10*c**2. Let s = 3377 + -3374. Let h(m) be the third derivative of 0*m + 4*m**2 + 0*m**s + 0*m**4 + 0 + 1\/20*m**5. Calculate b(h(g)).\nAnswer: 90*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(80) + 2).\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -21 - -20. Suppose 5*z + 4*i + 581 = 0, -3*z - i = -z + 230. Is (-3)\/((m\/z)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -506 + 506.2. What is the nearest to q in 2, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*g - 0*g. Suppose -4*v = g*f - 2*f - 23, -4*v = -2*f - 18. Suppose 4*h - 7 - f = 0. Solve x + h*x = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1100 greater than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a - 3*a + a - 6*a. Let v(b) = 7*b**2 + 5. Let i(w) = -6*w**2 - 4. Let z(h) = -5*i(h) - 4*v(h). Determine f(z(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 109 (b) 113 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/77555306 and 101\/310221224.\nAnswer: 310221224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -20, -39, -58?\n\"Answer: -19*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-4)\/b)**(-6\/5) assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.25398115768 to 4 dps.\nAnswer: -0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + -8. Let k be (1808 - (-5 + 2)) + o + -5. Suppose 0 = -12*n + k - 428. What are the prime factors of n?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-31)*l**(-20)*(l\/(l**(-2\/51)*l))\/l*l\/(l\/(l\/(l*l**17)))*l assuming l is positive.\nAnswer: l**(-3466\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1.0390797 + 0.036\nAnswer: 1.0750797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -264 - -542. Let j = b + -277.999567. Round j to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -14947 smaller than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 13010?\nAnswer: -13004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 4*x**3 - 46*x**2 - 25*x + 203. Determine i(15).\nAnswer: 2978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2729 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -44440317*g**2*p**3 - 12250*g**2*p + 708*g wrt p.\nAnswer: -266641902*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, -3\/5, 5, -0.12, 0.1, -12 in descending order.\nAnswer: 5, 1\/8, 0.1, -0.12, -3\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -87, -287, -793, -1743, -3275, -5527, -8637?\nAnswer: -12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 47308660 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + 4 - 0) + (-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -16, -50, -84, -118, -152?\n\"Answer: -34*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -34.923 - 0.077. Let i = -36 - s. What is the closest to -0.8 in i, 0, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0034286 to five dps.\nAnswer: 0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 142 + -29b00a?\nAnswer: -29aa88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 + (-217)\/(-35))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -852*i**3 - 56233*i**2 - 57*i + 588. Calculate f(-66).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2 - 4*v - 3 + 4. Let m(w) = 10208*w - 7. Let l(o) = -22118*o + 15. Let s(t) = -6*l(t) - 13*m(t). Calculate 6*f(n) + 7*s(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -144093808*z + 144361351 wrt z.\nAnswer: -144093808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 6*s**2 - 4*s - 3. Let l be y(5). Suppose l*p - 4 = -0. What are the prime factors of ((-4)\/p - -23) + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 6*m + 1. Let s be d(3). Solve -5*y = -1 - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 368*n**5 - 364*n**2?\nAnswer: 22080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) -0.084 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + -1. Let p = i + -3. What is the closest to 1\/4 in p, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 - 5*r**2 + 3. Let d(o) = -o**3 - 5*o**2 - 5*o - 2. Let q be d(-3). Let g be a(q). Let z = 22 + -12. Solve -g*u = z - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k + 8*k - 6*k)*(-1 + 3*k + 1)*(-239 - 201 + 109) to the form r + b*k**2 + h*k and give b.\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyzzyy?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, h: 2, d: 4, e: 1}. What is prob of picking 2 u and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 5609723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23143748 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42642 + -1201669939.\nAnswer: -1201627297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 98440*s**3 + 2*s**2 + 2928*s + 2 wrt s?\nAnswer: 590640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -106 - -108. Find the second derivative of 128*g - 906 + 108*g**p + 906 wrt g.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 47 = 2*k, 2*z - 122319 = 2*k - 122341 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -2, 23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87492 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 85858 divided by 495\nAnswer: 85858\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -200 + 96.4. Let a = h + 116.74. What is a rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -82\/375 and -121\/30.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1082943*p - 4*p**2 + 0*p**2 - 1082943*p - 2*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 916 is divided by 129?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.9, -0.3 in descending order.\nAnswer: 2, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17664 = 46*g - 34*g. Factor g*i - 3*i**3 - 32 + 8 - 30*i**2 - 1523*i.\nAnswer: -3*(i + 1)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 26*j + 452. Calculate h(-19).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13636 and 5919972?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {v: 2, m: 1, u: 4, f: 2, h: 3, j: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 48061448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.07, 0.2, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -17 + (15 - 0\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*d + 7*d + 192. Calculate the greatest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(3 + 2 + (sqrt(540) - (2*sqrt(540)*-4 + sqrt(540)))\/(6*sqrt(192)) + 1))**2.\nAnswer: 48*sqrt(5) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 69.64149 nanometers?\nAnswer: 0.00006964149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**2 + 3*h - 7. Let g be f(-5). Suppose 1 = 2*p - g. Find the first derivative of -2*j**p - 10*j**2 - 17 + 9 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i - 13. Let y(b) = -b**3 - 14*b**2 - 2*b - 34. Let u be y(-14). Let q be n(u). Let g = 0.23 - 0.13. Put q, g, 2\/5 in increasing order.\nAnswer: q, g, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 75 and 6495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1970 or -1963?\nAnswer: -1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 4*h - 2. Let u(r) = 3*r - 2. Let a(c) = 2*n(c) - 3*u(c). List the prime factors of a(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4107 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*d**3*y**2 - 34*d**3*y - 2*d**3 + d**2*y - 26*d*y**2 wrt y?\nAnswer: 6*d**3 - 52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, a: 1, e: 1, m: 5, n: 4, c: 1}. Give prob of picking 1 e and 1 n.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 115464 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-2)\/10*(-2)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1355 is divided by 667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/((-56)\/(-20) - 3). Suppose 3 - 13 = 5*o + 5*h, x*o - 3*h = 22. Suppose 0 = w - 7 + o. Solve 0 = -4*c + 3 + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 95406800 to the nearest 100000.\nAnswer: 95400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from uxxfp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, h: 2, m: 1, x: 3}. Give prob of sequence mxh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z**4 + 4*z**4 - 3*z**4 + (-4*z + 4*z - 2*z)*(3*z**3 - 4*z**3 - z**3) + 1567*z - 1681*z**4 - 1567*z.\nAnswer: -1676*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3*k**3 - 5*k - 1 - k**2 - 5*k**3 - 2*k**2. Let z(y) = -19*y**3 - 11*y + 154 + 14*y**3 - 157 - 7*y**2. What is -7*f(s) + 3*z(s)?\nAnswer: -s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 692877 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.036 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-2 - 430\/(-8))*(0\/(-19) + 4) and 2760?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 588 is divided by 182?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*y - y. Let z be (y*-1)\/(0 - -2). List the prime factors of (-14)\/6*z*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 53*w - 11 - 54 - 41 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i**3 + 6 - 3 - 4 + 2*i + 9*i**2 to the form a*i + t*i**2 + x*i**3 + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 4*b + 24, 7*k - 5*k + 4*b + 20 = 0. Let v(y) = -y**3 - y**2 - 4. Let w be v(k). Is 1\/131 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 374, 25, 1, -2, 5, -6953 in decreasing order.\nAnswer: 374, 25, 5, 1, -2, -6953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13.099833 + 13.1. What is m rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 191037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -13*s**3 - 9*s + 11. Suppose -7*x - 140 = -3*x. Let j = x - -39. Let h(k) = -6*k**3 - 4*k + 5. Determine j*o(r) - 9*h(r).\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (12 - 29 - 1236\/(-72)) + (-1)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 1 + 1)*(-n - 2*n - n) + 0*n - 3*n + n + (-9 - 4 + 4)*(-2*n + 0*n + n) in the form f*n + q and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -427*v + 849*v - 427*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1878290 is divided by 375657.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-16))\/((-268)\/(-536)). Let i(g) be the first derivative of -1\/8*g**4 + 1\/2*g - 1\/6*g**3 - 1 + n*g**2. Factor i(u).\nAnswer: -(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06246438 rounded to five dps?\nAnswer: 0.06246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b**3 + b**2 - 3. Let j(m) = 5*m + 4. Let o be j(-1). Let a(f) = f**2. Give o*a(z) + g(z).\nAnswer: 2*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 4*c + 29, -n - n + 21 = -3*c. Suppose n*f + 66 = 3*l, -l - 5*f = -12 - 34. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 2*n**3 - 6*n**2 - 3*n + 5. Let k be d(5). Let f be (-12)\/k + 546\/45. Solve -f*b + 6*b**2 + 66 - 3*b**2 - 81 = 0 for b.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -6*p**2 + 1. Let j(z) = -2*z. What is c(j(t))?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(980)*-1.\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -730*u**2 + 94*u - 38. Let g(n) = 81*n**2 - 10*n + 4. Give 3*f(c) + 28*g(c).\nAnswer: 78*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23536 is divided by 277.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 5*l - 1. Let p(x) = -2*x**2 + 15*x - 124. What is -p(r) + 4*w(r)?\nAnswer: 2*r**2 + 5*r + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 64706734*n**3*x + 22844136*n**3 wrt x?\nAnswer: 64706734*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 85441 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18 + -18.8. Let l = 1.1 + g. Which is the smallest value? (a) 1\/5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -3*k**3 - 5*k**2 - 27*k - 58. Let o(v) = 2*v**2 + 69*v + 27. Let p be o(-34). List the prime factors of c(p).\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**2\/2 + 315*w\/2.\nAnswer: -5*w*(w - 63)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 + 26. What is the units digit of g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-496 + 470)\/(6\/(-16) - (153\/72 + -2))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -19, -66, -145, -256?\n\"Answer: -16*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -339, -339, -337, -333, -327?\n\"Answer: i**2 - 3*i - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3*4\/66 - 1497621\/(-583) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*i - 5*z - 236, 7*i = 3*i + 352*z - 350*z + 134 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 5*z**3 - 5*z**3 + z**3 - 10*z**2 + 11 + 2*z - 3*z. Let w be u(10). Suppose 1 = -b - 3. Sort w, b, 3 in decreasing order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1*sqrt(468) + sqrt(78)\/(sqrt(6) - sqrt(384)*1) + (sqrt(104) - -1*sqrt(104)*-3)\/(sqrt(800)*3).\nAnswer: -652*sqrt(13)\/105 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 54807817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -5*k + h, 5*k - 45 = -6*h + 2*h. Suppose -6*s = s - 98. Solve 5*u + k*x - s = 11, 5*u = 5*x - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 7*r. Let d(h) = 44*h - 6. Let k(a) = -36*a + 5. Let o(i) = -6*d(i) - 7*k(i). What is y(o(s))?\nAnswer: -84*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 106 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3386752, 6773484, 10160190, 13546864, 16933500, 20320092?\n\"Answer: -c**3 - 7*c**2 + 3386760*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 d when three letters picked without replacement from audarauudauauxa.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -211 (base 5) to base 16\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1124631 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 689821 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -b + 2383093 - 6*b - 2383093.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1592\/(-3))\/(408\/(-34)). Which is greater: s or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000008571 rounded to seven decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2293*v**2*z + 1021*v*z**3 + 4*z**3 - 4*z**2 + 39*z - 2377 wrt v?\nAnswer: 4586*v*z + 1021*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 46 greater than 1032387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + 7. What is the greatest common factor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 83354 + 157420 - 35991 + 220114 = 3971*j for j.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 14269613 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 28 - 29. What is the third biggest value in a, 3, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 3*n + 9. Give b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1438602*r**2 - 719302*r**2 - 719324*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 6*q - 12 = -4*d, d - 4*q - 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -261 - (-19 + 150 - 266).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*r**2 + 5*r**3 + 21*r**2 - 11*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 4.17751.\nAnswer: -12.53253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + b**2 + 1)*(2 - 2 + 2*b)*(3 + 3*b - 3).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3584 + 3686. Let t(q) = -53*q - 7. Let d be t(-5). Let k = d - s. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-40)\/(-75) + (-434)\/105 + 4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 + 6*t**2 + 14*t + 5. Give r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1146, -1, 2, 1, -1\/7, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:28 PM and 1:10 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -11925739.97 to the nearest 100000.\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - ((-1 - 1) + -1)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 153265428 and 1978779?\nAnswer: 1685919708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.06, -323, -9, -4\/7 in descending order.\nAnswer: 0.06, -4\/7, -9, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-3)*3 + -6. Let t(n) = -n**3 - 6*n**2 - 5*n. Let x be t(i). Suppose x = r + 4*r - 55. Solve -4*b = -r - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {f: 1, p: 2, w: 3, k: 4, v: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/5))**(-27)\/(o**(-1))**(1\/8) assuming o is positive.\nAnswer: o**(437\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 + p. Let b(o) = 5*o**2 + 4*o. Let f = 6 - 10. Let a(i) = f*c(i) + b(i). Let h(r) = -r**2. Give h(a(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1102420 (base 10) in base 5?\nAnswer: 240234140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*q**4 - 101*q**3 - 88*q**2 + q - 193?\nAnswer: 96*q - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus 0.1869?\nAnswer: -2.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 2*d**3 - 14*d**2 + 16*d - 10. Let c be k(9). Let w = c - 278. Suppose -w = -2*i + 5*a, -5*i - a + 383 + 40 = 0. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37323108.\nAnswer: 2, 3, 83, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4044078911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1033 divided by -28504.\nAnswer: -1033\/28504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47 - 58. Let l be (-116)\/10 - 2\/5. Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -219 = -5*i + 46. 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 6696.606 weeks in days?\nAnswer: 46876.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3874135 - 3172916111\/819. Let s = c - -2\/117. Sort s, -0.055, -3.\nAnswer: -3, -0.055, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 98 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -x + p, -2*x - 2*p - 64 + 262 = 0. What is the remainder when 11625 is divided by x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -3*b - 21. Let r(u) = -u**2 + 3*u + 21. Let m be r(6). Let p be ((-21)\/(-9))\/(1\/m). Let n(g) = -g - 7. Give p*n(s) - 2*v(s).\nAnswer: -s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2848 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.43 + 41.23. Let b = -38 + z. Let r = -0.9 + b. What is the second smallest value in r, 3\/7, 3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 2*m**2\/5 - 26*m\/5 - 36 = 0.\nAnswer: -5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5373680918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/3, -13\/14, 0.5, -3?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 183005 + -122085198.\nAnswer: -121902193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 + 14.6. Put -5, 2\/5, o in increasing order.\nAnswer: -5, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -4. Let k be 52\/24 - -1 - (-2)\/(-12). Put k, f, 1 in descending order.\nAnswer: f, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 + -14)\/((-9)\/1). Which is the second smallest value? (a) -3\/7 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2492739745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4087 - -4082. Suppose -4*k - k + u = -20, 2*k - 5*u - 8 = 0. Which is the smallest value? (a) l (b) 1 (c) k (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 minus 2693?\nAnswer: -2693.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.622 * 3.\nAnswer: 7.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 673 a factor of 53246414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 PM and 6:51 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8780.07 - -8673. What is f rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9 in 10, 5, -6, 5\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 4*d - 8 = 0, 2*m - 3*m = 3*d + 6. Solve m*p - 4*z - 8 = 5*p, z = -5*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -552000 (base 8) in base 11?\nAnswer: -117285","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let l = 6268 - -2902. Is 73 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53.48 - 53.11. Which is the nearest to -0.07? (a) v (b) -0.04 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9030)\/(-63))\/43*54\/100*2?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.3, -3\/14, 0.7, -12.1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -5*k**2 - 4*k - 9. Let n(b) = -4*b**2 - 4*b - 8. Let q(m) = 6*n(m) - 5*y(m). Let a = -13 + 21. Calculate the remainder when q(-4) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of -w**3\/3 + 71. Let a be 1*(4*1)\/2. Let f(l) = 0*l**a - 2*l**2 + 0*l**2. Calculate f(m(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from otpclccccpcctocccct. Give prob of picking 1 o, 2 t, and 1 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 68*g + 177. Is x(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 23*k**2. Let w(p) = 87624*p. What is t(w(y))?\nAnswer: 176593203648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of 108*g - 3\/5*g**5 - 48 + 13*g**3 + 9\/4*g**4 - 153\/2*g**2. Let b(r) = 0. Calculate r.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -27 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6715280*y**4 + y**2 + y + 114250.\nAnswer: 161166720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*x**2 + 3 + 1944*x - 974*x - 3 - 973*x.\nAnswer: -78*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -312\/7 - -306\/7. Let t = 110 - 988\/9. What is the common denominator of t and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 278151*i*t**2 + 997*i*t + 13066*i + 1300 with respect to t.\nAnswer: 556302*i*t + 997*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 42469 + -37885. Calculate the highest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6086.5 - 6086. Which is the nearest to 0.1? (a) 2 (b) -4 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 6:55 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2801608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-14956)\/2*(-4)\/8. Suppose -8*p + 3*p = 4*o - n, -5*o + 4690 = 3*p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5\/6, -2, -2\/17, -39307, 0.1?\nAnswer: -39307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -427*i - 5. Let t be w(-5). What is t rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 30 or 522\/17?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k**(-38)\/k)*k*k*k**(1\/7))\/((k\/(k**(-15)\/k))\/k**(5\/2)))**(-1\/23) assuming k is positive.\nAnswer: k**(-401\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 4*r + 1. Let w be y(2). Suppose 22 = q + w*x, -5*q + 3*x + 50 = -2*x. Calculate the smallest common multiple of 14 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 2:02 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*h - h**2 + 10*h + 6)*(0*h**2 + 43 + 115*h**2 - 43).\nAnswer: -115*h**4 + 690*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 79 - 3?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82 - 75. Calculate the smallest common multiple of 6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bx when two letters picked without replacement from {e: 6, u: 3, x: 4, r: 2, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 6, -10, 33330, -5 in ascending order.\nAnswer: -10, -5, 3, 6, 33330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2725 (base 14) in base 12?\nAnswer: -3ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i - 5. Let p be g(-5). Let n(t) = -6*t - 1. Let r be n(-2). Suppose -14 = -p*l + r. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-6)*20*(-1)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 5*m = -35, 9*z - 4*z - 5*m + 75 = 0. Let t(c) = -4*c - 4. What is the remainder when 230\/4*z\/(-25) is divided by t(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12110 = 2*q - 19*t + 5989 + 5998, q - 4*t = -q + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 3, -0.5, 16, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1522 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 3*i + 3. Let y(v) = 7*v + 6. Let g = 39 + -35. Suppose -2*h + 2 = -g*l, 6*h - 4*l - 17 = h. Determine h*f(j) - 2*y(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 119798863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrrrrrrrryrrrrrrr. Give prob of picking 2 r.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -61, -136, 30, -2, 4, 1 in ascending order.\nAnswer: -136, -61, -2, 1, 4, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -76905073*x**5 + 2*x**4 + x**3 + 2*x**2 - 204136616*x?\nAnswer: -4614304380*x**2 + 48*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**2 - 109*g + 1317. Let o be h(11). Sort 3, 3\/2, o in decreasing order.\nAnswer: 3, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*s + 65415 = 17*s. Calculate the highest common divisor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((2*sqrt(200) + 1)*-5 - (-1*(sqrt(200) + -2) - (sqrt(200)*-2 + 5)))**2 + -4.\nAnswer: 440*sqrt(2) + 24199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 61829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 18*t - 18. Let i be p(13). Suppose -k + 7 = w, 5*k + 3*w - w = 35. Calculate the smallest common multiple of i\/7 - (-6)\/21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of 1\/490*q**7 + 0*q - 1\/7*q**3 - 2*q**2 - 5\/56*q**4 + 0 - 3\/140*q**5 + 1\/280*q**6. Factor r(j).\nAnswer: 3*(j - 2)*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6002*x**2 - 3*x**3 + 6002*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 5) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -75 = 4*o + 11*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -6 (c) -0.4 (d) -107 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwwywwywmwywwww. What is prob of sequence myww?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**2 + k**2 - k**2 + (-5 + 3 + 1)*(3*k - k + 9*k)*(2*k + 0 + 0).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (((-64)\/(-126))\/(-4))\/((-61)\/((-38430)\/(-700)))?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -6 greater than -1242059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -69, -1, -2, -36, -16 in increasing order.\nAnswer: -69, -36, -16, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38960433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/49*(-1064)\/(-24396)\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (8 + -6 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n + 13. Let g(y) = 4*y - 109. Let p(m) = -g(m) - 6*w(m). Calculate p(-24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37135957.\nAnswer: 59, 167, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 - 24. What are the prime factors of (-28)\/(-8) + d\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -297*p**2 + 141*p**2 - 159*p**2.\nAnswer: -315*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1186 a factor of 50155940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 + 2*j - 2. Let k(z) = 8*z**2 + 9*z - 6. Let d(l) = -k(l) + 4*w(l). What is d(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, i: 2, k: 2, w: 6, c: 3}. Give prob of picking 1 n and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l - 10. Let v be y(10). Suppose 5*r - 5*m = 35, v*r + 5*m + 29 = 3*r. Suppose 3*a = -r*h + 69, -2*h = 4*a + h - 91. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nha when three letters picked without replacement from {a: 3, h: 12, n: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -83*d + 577. What is t(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (-19 - -4 - -26) + 0 + -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j + 2. Let x be a(6). Suppose 0*u + 10 = u + 4*n, -5*u + n = 13. Sort x, 0, u in decreasing order.\nAnswer: 0, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -222 - -204. Let r(q) = q**3 + 23*q**2 - q + 19. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.03 + -6.03. Let h = r + 4. Let n = -49 + 733\/15. What is the third smallest value in 3, n, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -103322*d**2 - 36015*d wrt d?\nAnswer: -206644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37\/84 + -1021\/42. Suppose -101 = -5*s - 16. Find the common denominator of q and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2159*u - 2164*u - 2157*u + 8696*u - 2219*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 5948.0173 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v = 96 - 1050. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9196 divided by 1691.\nAnswer: -484\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3757?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is ((-3)\/((-30)\/4))\/((-1)\/(-45)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*1 + 158\/(-79)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**3\/25 - 511088*s**2\/25 - 204434*s\/5 - 511084\/25.\nAnswer: -2*(s + 1)**2*(s + 255542)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 540 + -293. What are the prime factors of a?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-34)\/(7888\/2871)*(-1152)\/216\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 87 and -104.\nAnswer: -9048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3736 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -15 + 47. Let r be s*-1*4\/8. Is 147 - r*(-1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -4*v + 3. Let s be (9\/v - -4)\/2. What is the third smallest value in s, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 60 and 289180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 13333080 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 8*j - 6. Let g be o(-7). Let s(h) = 2*h - 1. Let q(d) = -d. Determine g*q(n) + s(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - -1)\/(4 - 516\/128). Let u be 3\/(((-8)\/r)\/((-40)\/3)). Let h = u - -643\/4. Which is the nearest to -3? (a) 5 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -3*h**3 - h**2 - h - 1. Let n be j(-1). Let i(y) = y + 7. Let x be i(-5). Let s = x - n. Solve -3*w - 5 + 17 = s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*p + 25 - 7 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 225 + -224.5. What is the closest to 5 in -2, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -46, 0.01, 0.2?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4127.9*-2\nAnswer: -8255.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + 36*k**2 - 23*k + 276. Does 19 divide r(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3098*k - 3074*k - 145920. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2. Let l(h) = -3*h**2. Let k(w) = -4*f(w) - 2*l(w). Let q(o) = -1 - 2 - o - o. Let j(z) = z + 2. Let m(v) = -3*j(v) - 2*q(v). Calculate k(m(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 141081*w - 1 + 141117*w - 282199*w.\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of 0 + 0*j**3 + 1\/8*j**4 + 0*j + 34*j**2 + 901\/10*j**5. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -54171 divided by 6019.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2232055290.\nAnswer: 2, 3, 5, 17, 131, 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-seven quarters of a meter in millimeters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 8*c + 10. Let y be j(-7). Suppose -q = 3*t - 4*t, -5*q - 4*t = -45. Suppose q*z - 23 + 8 = 0. What is the greatest common divisor of z and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**4 + 4*j**4 - 2*j**4)*(1 - 1 + 2*j + (0 - 3 + 1)*(7*j + j - 3*j)).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 340442.\nAnswer: 2, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 890 and 1424?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxe when three letters picked without replacement from {e: 3, h: 5, x: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 21*d - 94. Suppose 2*c + c - 60 = 0. Calculate the lowest common multiple of v(-11) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -3*h**2 - 637*h + 8392. What is j(-225)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -30*f*q**3 - 2*f*q + 244*q**3 wrt f?\nAnswer: -30*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -111934170 divided by 54\nAnswer: -2072855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus 579320?\nAnswer: -579323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i**3 - 237*i - 437*i**2 + 437*i**2 + 89*i**3 + 35*i.\nAnswer: 85*i**3 - 202*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 + z + 1. Let p(s) = -5*s**2 - s + 1. Let t(j) = j**2 + 4*j - 6. Let w be t(-5). Let l(c) = w*p(c) + 6*y(c). Determine l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in -4, -29, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 53 = -q + 2091, 6448 = 3*q - x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -3) + (1 - 6) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4613 + 4612. Let o = -1\/5 + 21\/55. What is the closest to -2\/7 in -4, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.58 + 0.38. Let t = 0.2 + n. Let b = -0.458 + 0.058. What is the nearest to 0.1 in 2\/11, t, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (-370)\/555*(6 - 0\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = -i - 37, -1646 = -3*i + 2*i + 2*a - 1671 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 89611 - 189220 = 3*j, 3*f - 2*j - 209123 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2198 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be 24\/(-2)*2\/(-8). Suppose v = -h + 13, -a*h = -8*h - 5. Solve c = -3*y + v, 5*y + c + 0*c = 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/3145843861 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 10 + 4)*(92 - 92 + 15*a**2).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -2*f**3 + 2*f**2 + 3*f. Calculate the remainder when 50 is divided by z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 7*b - 28. Let f be c(6). Find the third derivative of v - 3*v**2 + f*v**6 - 4*v**6 + 11*v**6 - 3*v wrt v.\nAnswer: 2520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4478ac - -d2?\nAnswer: 4479a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 76342177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 786749 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 620798 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3176, 6359, 9542?\n\"Answer: 3183*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 3 + 3)*(-24*a - 38*a - 79*a) + a - 5*a**2 + 3*a**2 - 2*a.\nAnswer: -284*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 0.397.\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*d**3 + 3*d**3 - 8*d**3 + 5*d**3 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the third derivative of v**5\/20 + v**4\/12 - v**3\/2 + 2*v**2. Let y = -8 - -14. Calculate the smallest common multiple of y and b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(143)*-3)\/sqrt(11) + sqrt(13)) + (((sqrt(156) - 3*sqrt(156)*-5) + sqrt(156))\/sqrt(12))**2.\nAnswer: -6*sqrt(13) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 2*u = -i + 200, 0 = -5*i + 3*u + 272. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - u + 3*u + (0 - 1 + 0)*(0*u + 3*u - 4*u))*((-1 - 1 + 3)*(-1 + 1 + 2) + 7 - 2 - 3 - 2 + 4 - 3 - 4 - 1 + 3 + 2 - 4 - 1).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (168\/98)\/(2\/154). Calculate the remainder when ((-5)\/(-15))\/(1\/j) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r**2 + 5*r - 1. Let n(y) = -y**2 + 2*y - 1. Let f(q) = -4*i(q) + 7*n(q). Let m be (3 + 0)\/(9\/21). What are the prime factors of f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.185 and 13?\nAnswer: 12.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 2*x - 4 = -12, 0 = -2*w + 4*x. Suppose -w*l + 52 = 4*h - h, 4*l - 72 = 2*h. Find the second derivative of 11*j**3 + 9*j**3 + l*j + j**3 wrt j.\nAnswer: 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3846, 18721, 44622, 81549?\n\"Answer: 5513*r**2 - 1664*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of -d**2 - 20*d + 2746. Let v(b) = -4*b + 5. Let t(c) = -3*c + 4. Let k(j) = 5*t(j) - 4*v(j). What is k(g(i))?\nAnswer: -2*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5358797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7206584 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccccccccsccczuuc. Give prob of picking 1 z and 1 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 183, 656, 1421, 2478, 3827, 5468, 7401?\n\"Answer: 146*a**2 + 35*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -361*-4497.\nAnswer: 1623417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 546 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*g - 21*g - 5*x - 45 = 0, x = 4*g - 41. Suppose -7*t + 5*t - g = 0. Let b(l) = -3*l - 15. Determine b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 712741641 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 + (-1 - -1))\/(-2). Let k = -2 + g. Is k at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -284*o**2 + 3270*o + 282*o**2 + 2428*o - 1683*o in the form i*o**2 + l + v*o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 33 - 144?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -255434*b*t - 11030*t wrt b.\nAnswer: -255434*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 + -42. Let a = 18 + o. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30.83 + -8.45. Let x = 22.4 - r. What is the third biggest value in x, 2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105 < 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 59840 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*h = -39*h + 140 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -40233 (base 13) to base 10.\nAnswer: -114624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*m**3 + 50*m**3 - 70*m**3 - m**2.\nAnswer: -79*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from iqoiiiiccccccci.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c = 6*c - 24, 3*z + 4*c = 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 2 = -10. What is the remainder when 2\/t - 148\/(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -28 + 29. What is the third smallest value in -3, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 + 3 + 3\/(-8454942). Let z = q + -50411182511\/19728198. Let c = z - -2551. Which is smaller: c or 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 53\/6? (a) 2.1 (b) 0.3 (c) 1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 62, 137, 214, 293, 374?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 33\/5 of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 10*k**3 - 3*k**2 + k + 2. Let g = 248 + -247. Let v be d(g). Solve 7*q = v*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) -164 (d) 7 (e) -16 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 7\/(-2)*220\/385\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 6 = j. Let p = 5 - 5.8. Let f = -0.5 - p. What is the closest to 0 in f, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2419724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1\/190 + -15\/38. Let o = -0.4 + 0.3. Put v, o, 4 in ascending order.\nAnswer: v, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 673 times -3.5297?\nAnswer: -2375.4881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - (3 - (2 + 1)). Suppose z*i = -i + 6. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -3, 2*a + 7 = 2*j - 3*j. Let v be a - (-2)\/1 - -108. Suppose 3*k - v = -3*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -97 - -46. Let f = -39 - l. Calculate the remainder when 45 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1944645000 rounded to the nearest 1000000?\nAnswer: -1945000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -6, -1\/2098, -1\/10?\nAnswer: -1\/2098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 1165 = 2*p + c, c - 932 = -4*p. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (305 + 0)*6\/(-15). Let z = 180 + w. Find h, given that -93*h**2 + 35 + 5*h + z*h**2 - 5*h**3 + 0*h**3 + 0*h**3 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36 + -28.8. Let b = -396129 - -396121.79986. Let t = b + z. What is t rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 7*a + 136 = -4*a. Let k(u) be the first derivative of -3\/4*u**4 - a + 3\/2*u**2 + 2\/3*u**3 - 2*u. Factor k(i).\nAnswer: -(i - 1)*(i + 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b\/((b**(4\/9)*b)\/b))\/b)\/b)**(-3\/19)*(b\/(b*b**29)*b*b*b)\/b*b*b\/(b*b**(2\/19)\/b*b))**(-1\/24) assuming b is positive.\nAnswer: b**(1475\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 2. Solve 0 = 3*y - k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 455*v + 10 + 221 - 1260 + 3*v**2 - 581*v.\nAnswer: 3*(v - 49)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/3646258 and 85\/103137012?\nAnswer: 721959084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000790099 rounded to 6 dps?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 1313804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*120\/(-90)*6\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.114*43.\nAnswer: -4.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 17805527 and 11932?\nAnswer: 71222108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 19, 42, 196 in increasing order.\nAnswer: -1, 4, 19, 42, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1293598 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 100504, 100980, 101456, 101932?\nAnswer: 102408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 3*d - 3*d - 45*d = -1121, -122 = 3*v - d - 4*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1942*g - 2 = -1941*g + 5*p, -3*g + 3*p - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -9 + 14 + 12 + -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 5*c = 14 + 1, 2*m + 4*c = 12. Let p be (7 - 0) + 1 + -5. Find the second derivative of p*z + 18*z + m*z + 24*z**2 wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3003)\/12870)\/(28\/10)*45\/2?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -236350 + 6*j**2 - j**3 + 0*j**3 + 236351 - 7*j as h*j + q*j**3 + u*j**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -2058?\nAnswer: -6174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3783712 rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 12*0.6034\nAnswer: 7.2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j = -2*j + 5*j + 2*j - 5*o - 29, -4*j = -o - 537 + 534 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3538 + -0.363?\nAnswer: 3537.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/18)\/((-10)\/(-20)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 947, 867, 751, 599?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = m - 2*m. Let q(b) = 2 + 5*b**3 + 3*b**2 - 4*b**3 - m*b**2 + 6*b. What is the tens digit of q(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 240 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -2.4877 < -585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = -8*m - 4, -6*m + 5*v = -626566 + 626571 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1003 + -919. What is the greatest common divisor of 324 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 9*t**2 + 33*t - 37. What is the units digit of o(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -2*w + 4869 + 3061, 5*p = 2*w - 7946. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 145 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3369494696 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + -3 + 140\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 3*f - 8 = -4*p, -8 = -4*p + 4*f. Factor 0*a**p - 3\/4*a + 1\/4*a**3 - 1\/2.\nAnswer: (a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2*((-8)\/10 - -1). Which is the closest to -1\/4? (a) j (b) 3\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(4*sqrt(25)\/sqrt(5) - 1*sqrt(45) - 4*sqrt(60)\/(sqrt(12)*3))*6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 109, 106, 103?\n\"Answer: -3*s + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 4 + 20 - 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 37 - 18. Let j = 1 - 1. Suppose -f + 0*f + g = j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 8 = 2*h, 4*q - 2*h - 60 = 0. Calculate the remainder when 4 + q - (-4)\/2 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p - 714*o + 711*o - 80 = 0, -6*p + 3*o + 93 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -59*z**2. Let t(w) = -3*w. Determine t(o(k)).\nAnswer: 177*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 + -6)\/((-2)\/(-26)). Let b be (72\/(-54))\/(1*1\/u). Suppose 5*k + 4*l = 69, 20 = -4*k - 5*l + 77. Calculate the greatest common factor of k and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 966905 to the power of 1\/2, to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76089627.\nAnswer: 3, 8454403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 8*y + 153. Let l be z(-17). Suppose -l*u + 243 - 56 = 0. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35 - -64. Let w = -21 + h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 13153 times -56\nAnswer: -736568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3528 and 81395811?\nAnswer: 651166488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be 17\/((-187)\/2860)*1. Which is smaller: -258 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -4*s**3 + 7*s**2 - s - 7. Let r(o) = 3*o**3 - 6*o**2 + 6. Let g be ((-20)\/385*-11)\/((-4)\/(-42)). Determine g*x(b) + 7*r(b).\nAnswer: -3*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.078579986 rounded to 5 dps?\nAnswer: -0.07858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -6887 - 0.06\nAnswer: -6887.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 0.3, 0.5, -7, -4, -36, -3 in decreasing order.\nAnswer: 0.5, 0.4, 0.3, -3, -4, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-40)\/4)\/5)\/((-5)\/(90\/(-2))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*b + 1392 = 128*b - 618. Solve 210*r = 215*r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17729 - 5913 - 22*i - 5915 - 5908 as x*i + z and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 + 5*n**2 - 10*n - 4. Let r be y(-7). Let x(c) = 26*c - 14. Let j be x(4). Let g = r + j. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-5)*15\/3. Suppose 2*h - 2*q + 6 + 0 = 0, -k*h - 3*q = -9. Suppose p + 0 - 19 = -5*f, 2*p + 2 = h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 79756130 and 1742?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33*(-3)\/9 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 4:55 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (5 - 9 - 3)*(-51*s**2 - 319 + 319) as a*s + g + u*s**2 and give u.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 317170 + -191211. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 372695, 374019, 375343, 376667?\nAnswer: 377991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.31? (a) -2\/9 (b) -1 (c) 270158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x and 1 w when four letters picked without replacement from wxxxxxxxxxxwxxxwxx?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/2)\/(-9*26\/351)*(-4)\/(-276)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 377 (b) -5 (c) -0.5 (d) 2 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 349863261 to the nearest integer?\nAnswer: 18705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of 0*c**3 + 17\/120*c**6 + 0 + c - 58*c**2 + 1\/30*c**5 + 16\/3*c**4. Find the second derivative of t(l) wrt l.\nAnswer: 102*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -274?\nAnswer: -1\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 5 + 1)*(-2*c + c + 0*c)*((2 - 4 + 1)*(-4*c + 4*c + 2*c**2) - 3*c**2 + 2*c**2 + 5*c**2) as v + s*c**3 + h*c + l*c**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -10, 8*v - 3*v - 3*z + 86 = 0. Let r be 132\/9 + 32\/24. Let x = r + -32. Is v at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-27))\/(94\/(-2256)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -6*z - 6. Suppose -5*s + z*d + 1514 = 0, -4*d - 4 = 4. What are the prime factors of s?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 29*q**2 + 20*q - 1280. Determine b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39301, 314375, 1060951, 2514781, 4911617?\nAnswer: 8487211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6189723949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lmmlmkkmmkmmkkkkmk. Give prob of picking 2 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(12) - (sqrt(12)*5 + sqrt(3))**2.\nAnswer: -363 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**2\/3 + 363050000*w\/3 - 32951325625000000\/3 = 0.\nAnswer: 181525000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 8) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r*r**1)\/r)**(9\/8))**21\/((r**1)**(-2\/3)*(r**(-1))**(-1\/7)) assuming r is positive.\nAnswer: r**(4013\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5158159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*c - 2*v - 9, 4*c - 12 = -4*v. What is the least common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -3 - h - 15 + 32. Is s(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/((-12)\/(-2)))\/(-40*50\/(-60000)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*u - 22 = -20*u + 3*j, -5*u = 4*j + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 4 (c) -5 (d) -0.169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -235 + 253. What is the common denominator of -113\/110 and (-7)\/d*(-1272)\/840?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.027 + 0.051. What is n rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (71*y**2 + 5*y**2 + 229*y**2)*(-1 + 2*y + 1).\nAnswer: 610*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.44 + 0.04. Let m = u - -0.6. Which is the second smallest value? (a) 2\/5 (b) -3\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 - 8*f - 6. Suppose k - 2 = 0, -2*z + 4*z + 4*k = -2. Let q be s(z). Suppose -q*p = -5*p. Solve p*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w\/w**(-4\/7)))\/w**(2\/9))**(3\/34) assuming w is positive.\nAnswer: w**(-113\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gngnniingddgidgnndn. Give prob of sequence id.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14200 = -5*b - 5*j, -4*j + 11010 - 2483 = -3*b. Let v be 4 + -1 - b\/1 - -2. Suppose -5*l = -1919 - v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -4*w**2 + 64*w + 50. Let c be g(16). Solve -5*n + c*t = 48*t - 10, -t - 5 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 366077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 2*d + 3*d)*(-9387*d**2 + 22020 - 22020).\nAnswer: -18774*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 236670 rounded to the nearest one thousand?\nAnswer: 237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llrhhhh. Give prob of picking 1 l and 1 h.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 67265874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-a - a + 0*a)*(-a + a + 2*a**2) + (3*a + 2*a - 3*a)*(5 - 4 - 2)*(-8*a**2 + 4*a**2 + a**2 + 1).\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -642*w**3 - 121*w**3 - 169*w**3 + 100*w**3 - w**3.\nAnswer: -833*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - -1 - (-3 + -2 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 - 3. Let p be (-2 + (-15)\/(-9))*-18. What is the greatest common factor of w and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -461 divided by -6.\nAnswer: 461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2403)\/(-445)*(-2)\/(-9).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2923111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 + 4*h**2 + 10*h + 17. Let j be r(6). Solve 2*f - 12 = y, -j*y = -0*f - 5*f + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 - 1)\/(15\/11080). Is (-2)\/(-10) + s\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 384304879 and 9?\nAnswer: 3458743911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10, -9, -36, -71, -114, -165?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 24 = 6*c - 2*c, 0 = -4*j + 3*c - 7. Let f(r) = -r**3 - 6*r**2 - 7*r. Let n be f(-5). Solve -5*l - 2*z + n = 0, 3*l - 7*l = -j*z - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 97.9 - 103. Let s = -5.042 - v. What is s rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - v**2 + v. Let q be y(-1). Put 7, q, 3, 1 in ascending order.\nAnswer: q, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 135 + -148. Let f(n) = 60*n**2 + 16*n + 11. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2398.8 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 4*m = 38. Suppose 209 = -2*r + 3*r. What is the highest common divisor of r and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-98)\/343 + (1 - (-178)\/(-210)). Put -5, k, 2, 4\/5 in ascending order.\nAnswer: -5, k, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vypyyvv. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7731 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 70*u - 27*u + 182 = -76 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -79 = 11*z - 3*c, -5*z - 1940*c + 1938*c - 46 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 124 - 233 - (-27 + -72)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1654 and -168.367?\nAnswer: 1485.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 14 + -6 - 2 - (-1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 43910*h**2 + 7*h. Let d(k) = k**2. Give l(d(i)).\nAnswer: 43910*i**4 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -442*g - 120 = -444*g. Calculate the smallest common multiple of 18 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -170, -240, -316, -404, -510, -640, -800, -996?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 124220 - -8?\nAnswer: 124228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 151 - 1?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(48)\/sqrt(4)*2)\/(sqrt(4) + -3*2*sqrt(4)) - (sqrt(12)\/sqrt(4)*-4 - -4*sqrt(75)))*2)**2.\nAnswer: 80688\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7117 - -7222. Solve j = -25*c + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 421472 and -79.\nAnswer: 421393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -123, -126, -129?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (11*t + 10*t - 13*t)*(-5*t + 2*t + t) to z*t**2 + i*t + p and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (729*o + 0 - 1835*o + 1 - 1)*(4*o - 4*o - 6*o**4).\nAnswer: 6636*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -37a1 - 5?\nAnswer: -37a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 182*o**3 + 40*o**3 - 2 + 82*o**3.\nAnswer: 304*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 2*s + 138 - 14, 2*h + 176 = -3*s. Let x = s + 40. What are the prime factors of -2*(2 - x\/(-8)) - -70?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8764, -34915, -78454, -139381?\nAnswer: -217696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -68 - -1549. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001349 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 + 2*k + 5. Suppose 14 = z + a, -8 = -z - 0*z + 2*a. Let i = -7 + z. What is s(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 51, -615, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -19*f**2 - 4 + 3 - 18*f**2 + 38*f**2 - f. Let v(t) = 10*t**2 - 8*t - 8. Let z(h) = v(h) - 8*y(h). Let j(x) = -29*x. Calculate z(j(q)).\nAnswer: 1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify b*b\/b**(3\/2)*b*((b*b**10*b*b)\/b)\/b assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 12*v**3 - 5*v**2 - 7*v - 15. Let j be q(-6). Find the common denominator of 73\/9 and ((-2)\/100)\/(9*6\/j).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01515466469 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cqfeu. Give prob of sequence ec.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + 0 - 123\/3. Let j = -109 - v. Let p = -33 - j. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(11\/2)\/w)**(-21) assuming w is positive.\nAnswer: w**(-189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/80 and 121\/1700?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 5*o**2 + o + 5. Determine r(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 90 (b) -0.1 (c) -2 (d) -1 (e) 1 (f) 3 (g) 662\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f**4 + 87465*f**3 + 426073920*f**2 - 55838986240*f - 3269847601643520 = 0.\nAnswer: -6592, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/((-8)\/6)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-2*sqrt(847))**2*2 - (sqrt(7) - (3 + sqrt(7)*-5) - sqrt(35)\/(4*sqrt(5) + sqrt(5)))**2.\nAnswer: 174*sqrt(7)\/5 + 163263\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 24292 + -13179. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 2. Let g(z) = -2*z**2 - 4 + k + 2. Let s(x) = 2*x**2. Calculate s(g(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4109313?\nAnswer: 3, 13, 105367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 63*x + 1. Let h(j) = j - 4. Let p be h(6). Let q be y(p). Suppose 0 = -2*c + c + q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (18\/1539*19)\/(8\/6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -281.2 bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -35a3c (base 15) in base 3?\nAnswer: -22200122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -9*g + 4*g. Let f = 30\/7 + -164\/35. Sort -3\/4, g, f in descending order.\nAnswer: g, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-203)\/21 + 10)*(2 + 10). Suppose a - 4 = -3*a. Solve n - a = -q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j + 2*r - 2, 0*r = -2*r + 2. Find the second derivative of -6*n - 2*n**5 - 3*n**5 + j*n**5 wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 5, 2 in descending order.\nAnswer: 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*h - 53*h + 98*h + 3*t = -87, 118 = 3*h - 4*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 145308?\nAnswer: 145308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 156011914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.376, 0.1, -10, -8\/3 in ascending order.\nAnswer: -10, -8\/3, 0.1, 0.376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 7420594550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 - 15*h**2 + 14*h - 7. Suppose -2*q - 42 = 2*m, -4*q = -m + 2*m + 78. Is p(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 335 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 + 4 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2636303 (base 7) to base 12.\nAnswer: 147b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*p - 5*p + 4*p)*(8*p - 9 + 16 - 9)*(-1 + 6 - 4)*(-1 - 2 + 5).\nAnswer: -64*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 0*g**3 + 2*g - 2 - 2*g**2 - 2*g**3 - 2. Suppose -2*y - 4 = 0, -3*y + 5*y - 11 = 5*p. Is j(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1069831?\nAnswer: 7, 152833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -327, -326, -325?\n\"Answer: k - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = 4*t + 5*x, t + 2 - 5 = x. Let i(f) = 3 - 2*f**2 + 4 + 2*f + 2 - 6. Calculate i(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*g**4 + 4*g**2 - 4*g**2 - 4*g**4 + 4 - 4 + 2*g**4 + 2*g - 2*g + (g + 0*g + g)*(3*g**3 + 4*g**3 - 5*g**3) + 1 - g**4 - 1.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + n + 6 = 0, 2*t + 2*n = 3*n - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/2))**(2\/63)*w**(-19\/5)*w**(-27)\/w assuming w is positive.\nAnswer: w**(-10022\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 193\/104 + -26483\/13416. What is the common denominator of 13\/42 and y?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (9\/(18\/(-4)))\/((-1)\/21). Suppose -5*c + 18 = -2*h, 2*c - 13 = -c - h. What is the tens digit of (14\/c)\/(3\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 22 + 4. Suppose -2*m + f = m + n, 4*m - 2*n = 24. Suppose m*g - 4*g = 34. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jljlllllll. Give prob of sequence lj.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 943007495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**6)**(-3\/16))**(-3\/4) assuming x is positive.\nAnswer: x**(27\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -65 (b) -7 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ylf when three letters picked without replacement from yfuylfyyyfyyflyuu?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 11*g**2 - 1. Let a(o) = o**2 - 1. Let p = -6881 + 6883. Calculate p*u(q) - 2*a(q).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 3198.3396 + -49.\nAnswer: 3149.3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32200 + 102?\nAnswer: 32302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-4))\/((1\/33)\/((-240)\/(-440))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/12 + (-4 - (-108)\/30)*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -12*l + 337. Let v be y(28). Is -1\/26 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: a91b5 (base 15) to base 4\nAnswer: 2003012330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 271453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -2*j + 4. Suppose 0 = l + 2, j*z - 280 = l + 82. Suppose -g - 2*g + z = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bsbbsb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 50.4338 meters to micrometers.\nAnswer: 50433800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 844297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -21*h**3 - h**2 - 3*h + 3. Let n be g(1). Let z(d) = 4*d + 151. Let x be z(n). What is the highest common divisor of 126 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 71 + -104545?\nAnswer: -104454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 4*g + 4242 = 0. Let v = g - -2591. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of o**6\/30 + 9*o**5\/20 + 7*o**3\/6 - 27*o**2\/2 - 279*o - 5. Find the second derivative of p(u) wrt u.\nAnswer: 12*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 2*r**2 + 2*r - 2. Let m be n(-2). Is 9 a factor of 12\/(2\/m) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -473*l**3 - 2*l**2 + l. Let a be d(1). Let p(i) = i**2 - 5*i + 6. Let z be p(4). What is the common denominator of 89\/4 and (z\/6)\/((-20)\/a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j**2. Let r(w) = -381*w. What is k(r(i))?\nAnswer: -435483*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 9 = 3*k - 5, -4*k = -12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4635 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a micrometer in nanometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2.98194, 0.3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-118 - -110)*1*-1 - (1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = z + 4. Let b = -2 + 12. Suppose 2*q + 3*d - 25 = 0, 5*d = 2*q + q + b. Sort q, z, 1 in increasing order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*z**4 - 3673*z**2 - 386930.\nAnswer: 8*z**3 - 7346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -131554158 divided by 3?\nAnswer: -43851386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * 34100894.\nAnswer: -102302682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + 11*u**2 - 13*u - 4. Let z(y) = -3*y**3 + 34*y**2 - 40*y - 11. Let v(c) = -7*j(c) + 2*z(c). What is the remainder when v(8) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 548 = 246*r - 209*r + 215. Solve r = -2*c - o, -3*o - 15 = 4*c - 4*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffbjxmbojfmjm. Give prob of picking 1 o and 1 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-eight thirds of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-13 - (3 + -9) - -4) - (1 + 72)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3223 + -2898. Let a be (-3 - (1 + -2)) + 5. Suppose a*z = 0, -5*v = z - 2*z - f. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of 743*z**5\/20 + z**4\/6 - z**3\/3 + 2*z + 26. Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26873*j + 53462*j - 26556*j.\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2100.13 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of -229*p**4\/2 - 46*p**3\/3 + 2*p**2 - 105*p. Find the second derivative of k(v) wrt v.\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/8 and -55\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from ilcmccmomioc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q*q**(1\/9)))\/q*q**(-2\/33)*q)**(-20\/11) assuming q is positive.\nAnswer: q**(-1640\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120 - 21 + 74*s**2 - 84*s**2 - 51 - 50.\nAnswer: -10*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 2918\nAnswer: -5\/2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 2 - (5 + 5 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 + 98*b**2 - 84*b + 1491. Calculate w(-99).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 20*b + 17. Let d(n) = 10*n + 8. Calculate 6*c(t) - 13*d(t).\nAnswer: -10*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 193*i = -7*w + 188*i - 344, 4*i = 4*w + 35 + 141 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 + -13. Let f be 1*-2 - 27\/(-3). Suppose -34*h + 845 = 135*h. Solve h*g + 5 = -a*u, 5*u + 8 = -5*g - f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.19234 - 0.29234. Let y = -5 + 7. Which is the third smallest value? (a) q (b) y (c) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -66636.29698 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -10. Suppose -5*p = m + 10, -5*p = 76*m - 72*m - 80. What is the smallest common multiple of c and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, f: 2, d: 1, o: 2, w: 1}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 35460138031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 18 by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 3 + 6)*(0*x + 3*x - 4*x) + (-2*x + 2*x + x)*(11 - 4 - 4) - 3 + x + 3)*(2*x + x**2 - 2*x + (-1 + 2*x + 1)*(-x + 3 - 3) + 3*x**2 - 2*x**2 - 2*x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 138*h - 134*h + 3*r - 4043, 2*h - 2022 = -2*r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -204 divided by -13\nAnswer: 204\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 422107*o**4 - 2436586*o**2?\nAnswer: 10130568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from ssssbsoszssosszsssz.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2566 from 0.07992.\nAnswer: 2566.07992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2 (b) 0.2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**2 + 90*q + 7444. Give j(-48).\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-15))\/((-23)\/(-2990)*24\/6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 9\/((-1125)\/10) + 7\/((-175)\/(-372777))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -885 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*d**3 - 2*d**2 - 4*d**2 + 6*d**2.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**2 + 44*q + 19. Calculate d(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -302 + 172. Let m = 129.9 + c. Let b be (4\/(-5) - 0)\/((-20)\/50). What is the closest to 0 in m, b, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8576 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/128 and -55\/44672?\nAnswer: 44672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 + 14. Suppose -n*p + 0*p + 30 = 0. Let v = p - 2. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*g - 49*g + 7 = l, 5*g - 13 = -4*l. Let h = 1 + -1. Suppose a - 3*a = -50. Solve -r - a = -5*k + k, -4*k - g*r - 5 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -20 (b) -2\/3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - 31518477258?\nAnswer: -31518477265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 180, 184, 190, 198, 208?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -27 - -8.52137313\nAnswer: -18.47862687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 199185 = 263*r + 219173 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**3 - 14*u**2 - 27*u + 3. Is 15 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (s - 5 + 5)*(5 - 3 + 0)*(-2*s + 4*s - 3*s) + 3 - 3 - 4*s**2 + (-s + s + 2*s)*(s - 6*s + 3*s) + 4*s**2 - 5*s**2 + 7*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 151825, 151815, 151799, 151777, 151749, 151715, 151675?\n\"Answer: -3*y**2 - y + 151829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n, 1 l, and 1 i when four letters picked without replacement from {i: 1, r: 3, d: 1, n: 4, l: 8}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-48)\/(-10) + 12\/(-15). Suppose 4*y + 26 = 3*m, 0 = 5*m + k*y - 2*y. What is the units digit of 12*((-7)\/m)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**2\/8 - 4493571*m\/8 + 110096091\/4.\nAnswer: -3*(m - 49)*(m + 1497906)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088)*2*-3*3.\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 2*a - 150 = -a, 5*h + 3*a = 189. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 514 + -347. Let d = l + -167.000004496. What is d rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149690 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -245 * 6.9.\nAnswer: -1690.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -11, 2\/3, -83 in ascending order.\nAnswer: -83, -11, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is j in 2*j**3 + 11344*j**2 + 5368382*j + 5357040 = 0?\nAnswer: -5151, -520, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 k, and 2 g when four letters picked without replacement from {k: 1, g: 2, z: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the third derivative of -z**4\/4 + 223*z**3\/6 + 554*z**2 + z + 2. Determine p(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2, -1\/6, -1.11, -101 in increasing order.\nAnswer: -101, -2, -1.11, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s - 26. Let y be b(-9). Let l(h) = h**3 + 10*h**2 + 18*h + 11. Let c be l(y). Let k = -7 - -12. Put 0.3, 1\/6, k, c in decreasing order.\nAnswer: k, 0.3, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42\/11 + -137\/33. Let o = 1\/6 - r. Let b = 3.4 - 3.6. What is the third biggest value in b, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 3*o = 90, -p - 134 = -5*p - 19*o for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 1\/16884857 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2065*s - 3131. What is the tens digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 2, -10, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-14)\/63 + (-4)\/(-18). Suppose -8*k - 1287 + 319 = n. Let q = k - -174. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3, 57, 211, 513, 1011, 1753?\n\"Answer: 8*o**3 + 2*o**2 - 8*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -54 + 57 - (8 + (27 - -96)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 424010*m**2. Let u(y) = -46*y**2. Determine w(u(j)).\nAnswer: 897205160*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 + 7*h**2 - 5*h - 7. Let x = 18 + -12. Let k be b(x). Let d be (-1)\/(k + 0) - 191. What is d rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -583222, -2332917, -5249076, -9331699, -14580786, -20996337, -28578352?\nAnswer: -37326831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 63, -6, -15, 92, 4 in ascending order.\nAnswer: -15, -6, 4, 63, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6803779 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.2, 2, -2.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 3*d - 21 = 6*d, 3*d = -2*k + 15. Let y(x) = -x**3 - 70*x - 10 - 68*x + 129*x + 9 + 7 + 7*x**2. Determine y(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000117029 rounded to seven decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3012957 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170 = 5*w - 445. Is 14 a factor of (-1)\/(-3)*(w - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - (4 + -3)*5) + 10148. Suppose 4*s - 50268 = -d. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 18 = -2*x, 11*x = -5*k + 16*x - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(275)*-1 + sqrt(275))**2 - -4*(sqrt(275) + -1)**2) + 0.\nAnswer: -40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 72544.14 milligrams to kilograms.\nAnswer: 0.07254414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*h - 40 = 15*h. Suppose 2*b - 5*o - 1542 = 879, 0 = -h*o + 4. List the prime factors of b.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/231 and -106\/3292695.\nAnswer: 36219645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/(-4))\/(5\/(-54)). Which is the biggest value? (a) -0.2 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47880260.\nAnswer: 2, 5, 887, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**2. Let n(g) be the third derivative of 0*g**3 + 5\/6*g**5 + 0 + 0*g**4 - 10*g**2 + 0*g. What is n(j(c))?\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 5, -3.\nAnswer: -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10826386.\nAnswer: 2, 5413193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.311 and 2012?\nAnswer: 2011.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lolo. What is prob of sequence oo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -173*w - 144 + 38 + 625 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32132952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*z - 8*z + 3*z - 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 135841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum -2542.9 and 1.822.\nAnswer: -2541.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 AM and 6:01 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (2*5\/(-30))\/(-3)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -15*s**2 - 3*s. Let w(n) = -3 + 14*n - 9*n + 3 + 0. Calculate t(w(u)).\nAnswer: -375*u**2 - 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 396*p = -2328 + 5988 + 3468 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 3, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -14.8 (b) 7.4 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is next in -1212, -1214, -1216, -1218?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -5 * -21.5443\nAnswer: 107.7215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 36, 3\/5, -38 in ascending order.\nAnswer: -38, 3\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3986 - -79821\/20. Calculate the common denominator of j and 3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-96)\/10)\/((-2040)\/(-5100)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 238347029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t - 8 + 12. Differentiate -12 + 28*z**3 + 2 - t with respect to z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1087*q = 7582 + 71769 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2333928 and 42?\nAnswer: 16337496","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Subtract -128066971.66 from -72614.\nAnswer: 127994357.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/4*(32\/(-60))\/(-4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00005347718 to six decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -n**5 - 5*n**2 + 139*n wrt n?\nAnswer: -20*n**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -10*(0 - 21\/6). Let q = v + -19. Let s(f) = f**2 - 13*f + 5. What is the units digit of s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -51*z**2. Let g be (-13)\/(-1) + 10 + -7. Let s = g + -37. Let y(m) = 5*m**2. Let u(v) = s*y(v) - 2*f(v). Let r(l) = -l**2. Determine u(r(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6524 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -200 (base 3) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ulluuuuluululu. Give prob of sequence ulu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together -11466 and 0.396899.\nAnswer: -11465.603101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 3:12 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z**(2\/9)*z**11)**(-8\/11) assuming z is positive.\nAnswer: z**(-952\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*i + 2*i + 286 = -0*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 25722900 and 2858100.\nAnswer: 25722900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t - t + 3*t)*(0 + 1 + 1)*(356*t + 9 - 353*t - 1).\nAnswer: -12*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 15179659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -113079, 5, -28\/9?\nAnswer: -113079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -315510211 - -5?\nAnswer: -315510202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 + 9*k**2 - 15*k + 1. Let a be b(5). Let h be -4 - (3 + -4) - a. Let s = 30 + h. What is the highest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -8.65 - -0.19\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18*p**3 + 13 + 32*p**3 - 32*p**3 + 13*p**3 wrt p?\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 3*y - 6*y)*(2*y + 0 + 0 + (-2*y + 2*y - 9*y)*(-6 + 2 - 2)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the third derivative of -13\/24*v**4 + 0 + 0*v - 11\/3*v**3 - 6*v**2. What is the first derivative of k(a) wrt a?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -156 = -4*a - 4*z, a + 2*z + 58 = 3*a. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -2\/7, -8, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -42*n**2 - 1891*n - 54. Give o(-45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 81047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - i - 3*i - 80, -110 = -5*h - 5*i. Let c = 3329 - 3187. What is the remainder when c is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.589 + 0.111. Let s = 5.06 - 0.06. Let m = d - s. Which is the third biggest value? (a) 1\/4 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 0. Let s be l + 1 + (-57)\/27. Let i = -26 - -76\/3. Which is the nearest to i? (a) s (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1690405, 1690659, 1691083, 1691677, 1692441?\nAnswer: 1693375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1766661, 3 in increasing order.\nAnswer: -1766661, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.2, 0, 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 2156 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -137, 3, -343 in descending order.\nAnswer: 3, -1, -137, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 - (0 - -1))*(-475)\/(-13965). Sort 3, -2\/7, b, 4, 0.5 in descending order.\nAnswer: 4, 3, 0.5, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -8*b. Let j(o) = 70*o**2 - 30. Let r(h) = -2*h**2 + 1. Let v(g) = -j(g) - 30*r(g). What is v(q(u))?\nAnswer: -640*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-27)\/(-18))\/((1\/4)\/((-144)\/216)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67 = -14*b + 389. Calculate the common denominator of b and -28\/1177.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(125) + (sqrt(125) - (sqrt(125) + -1)*4) + 0 + sqrt(40)\/(sqrt(8) - sqrt(512)\/sqrt(4)) + -2)**2.\nAnswer: -124*sqrt(5)\/3 + 4841\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (210\/1260)\/(5\/(-2)). Let g(t) = -t**2 + 3*t + 3. Let a be g(3). Let s = -4 + a. Is s smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63848932 + 5299373792\/83. Let d = m + 1055. Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**4 - 357*h - 40*h**3 + 1453*h - 76*h**2 + 56*h - 20*h**2.\nAnswer: -2*h*(h - 4)*(h + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**2 + 2*q + 1306. What is b(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 9*m + 6. Let p(k) = -9*k - 7. Determine -4*p(c) - 5*t(c).\nAnswer: -9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 366*c**2*d**3 + 4*c*d**3 + 9*d**3 wrt c.\nAnswer: 732*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 2*l. Suppose 3*o - 4*o + 32 = l. Let c(j) = -o + j**2 + 32. Let y(x) = -2*x**2. Determine c(y(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 508999.\nAnswer: 67, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89*p - 5920 = -79*p. Let c = p - -607. What is the remainder when 253 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 9:42 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 7.8174.\nAnswer: -39.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19\/42 - 137\/210. Let z be -2*(-2)\/(-10) + 0. Let r = -353 + 352.5. Which is the closest to z? (a) 0.4 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of 10*f**3\/3 - 3*f**2 + 112*f + 35. What is the derivative of m(p) wrt p?\nAnswer: 20*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/87723 and -15\/349448.\nAnswer: 84915864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 5*a - 125, -2*a + 23 + 32 = 3*d. Are 21 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -67*c**3 + 2*c**2 - 1. Let b be (-1)\/(-3)*(-9)\/3. Is h(b) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -0.7657?\nAnswer: -4.2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25879, 25876, 25863, 25834, 25783, 25704?\nAnswer: 25591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.01 - 0.11. Let q(n) = n**3 + 11*n**2 + 12. Let c be q(-11). Let y = c - 7. What is the nearest to f in -2\/15, y, -2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 10) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -4*r - 674, 0*r = d - 3*r + 317. Let a = d - -667. Suppose 3*g = a + 241. What are the prime factors of g?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2799581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1331 (base 4) in base 11?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -159*q**3 + 3*q**2 - 2. Let x be d(-1). Suppose -4*z - x = -o - 2*o, 2*z + 62 = -3*o. Let h = z - -81. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175425 (base 15) in base 12?\nAnswer: 466a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -124110?\nAnswer: 124103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 5*q**2 + 4*q - 4. Let p be 1 + 3 + 2 - (-39)\/(-13). Let m(k) = p + 10*k**2 - 3*k - 7*k**2 - 7*k**2. Calculate 4*m(a) + 3*s(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*(n\/n**(3\/2))\/n)\/n)**(21\/5) assuming n is positive.\nAnswer: n**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g - 6. Let a be t(-6). Suppose 5*p + 0*p + 5 = a. Let l = 0.7 + 0.3. What is the nearest to p in 0.4, 5, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 3*s - 2 = 0, -q = q - 5*s - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/4)\/(6 + -5)*52. Let a(s) = 23*s**2 - 30*s + 7. Let o(g) = 11*g**2 - 15*g + 4. Let v(b) = f*o(b) - 6*a(b). Let v(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pe when two letters picked without replacement from {p: 2, e: 1, s: 1, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 17 (b) 2\/5 (c) 139107 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -227.4 - 35252186116.\nAnswer: -35252186343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 954 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -266 + 269. Determine b so that -41*b**4 + 3*b + 39*b**4 + 10*b**r - 16*b**2 + 13*b - 8*b = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 4) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of -1399*t**8\/336 - 1351*t**4\/24 - 364*t**2. What is the second derivative of q(k) wrt k?\nAnswer: -27980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6906061710 rounded to the nearest one hundred thousand?\nAnswer: 6906100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -262 - -568. Let w be 8 - 5 - q\/135. Is w less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1792790?\nAnswer: 2, 5, 61, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 2*z + m + 27, 5*m - 27 = 2*z. Let v be (5 - -2) + z\/3. Suppose 5*a + 25 = 3*w, -2*w + w + 15 = -v*a. Solve w = -3*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q - 2*k + 28 = 5*q + 5*q + k, 5*q - 57 = -k for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*z**5 - 58*z**4 + 190*z**3 + 50*z**2 - 128*z + 8 = 0 for z.\nAnswer: -2, -1, 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.03 - -0.06. Let w = 204 + -204.0836. Let m = z + w. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(1\/9)\/d**14*(d**(-18)\/d)**35 assuming d is positive.\nAnswer: d**(-6110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(6\/29))**8\/(o**5)**(-6\/11) assuming o is positive.\nAnswer: o**(1398\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes after 7:17 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = u - 5*u + 69, 0 = -5*y - 5*u + 120. Suppose 5*v + 12 = y. Suppose v*i = -i + 476. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - 3 + 851*h**2 - 10 - 4.\nAnswer: 851*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22 and 1199?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26 + 28. Suppose -n = g - 10. Is n smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/329 and -4\/31759.\nAnswer: 1492673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-72)\/576)\/((-42)\/8). Let t(d) be the second derivative of 1\/15*d**6 - f*d**7 + 0 + 1\/10*d**5 - 1\/6*d**3 - 1\/3*d**4 + 14*d + d**2. Factor t(n).\nAnswer: -(n - 2)*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.04 - 0.05. Let d = k + 0.21. Which is the third smallest value? (a) d (b) 3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2\/3, 0.12, -1, -185\/2, 69, -0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + -a7?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-984)\/(-164))\/(14\/2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1210185566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22*h**3*k - 4*h**3 + 2*h**2*k + 33*h**2 with respect to k.\nAnswer: 22*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 + 15*p**2 + 25*p - 14. Let s be f(-14). Let d = s - -172. Solve d*j = -5*x + 17, -j + 2*x - 7 = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v. Let o(g) be the second derivative of 0*g**3 + 1\/20*g**5 + 0*g**4 - 5*g + 0*g**2 + 0. Let i(u) = u - 5. Let w be i(4). Calculate w*o(h) - b(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 2*v. Let d(h) = 18*h + 225. Determine p(d(t)).\nAnswer: 36*t + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in -1\/3, -389, 1\/7, -10\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 22 = -2*h, -2 - 33 = -3*h + n. Suppose -5005 = h*z - 16513. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(20) + sqrt(80)\/sqrt(4)))\/(sqrt(20)\/(sqrt(80) + sqrt(5))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/18635 and -161\/5430.\nAnswer: 20237610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, -3, -5, 1, 21, 61, 127, 225?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000057141964 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - 0 - (-2 - 2 - -19). Let x = k - -50. Let f = x - 23. Solve -2*h = -w + 2, 3 = -4*w - 4*h + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 + 9. Let b = -3 + j. Suppose -b*t = -3*t. Solve t*w = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1873, 1659, 1543, 1573, 1797, 2263, 3019?\n\"Answer: 8*l**3 + l**2 - 273*l + 2137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = 2*r + 14, 5*r + 5*c + 3 = -22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (20\/5 - -2)\/2. Suppose a*g - 8 = g. Solve 0 = -5*f - g*w - w - 15, -4*f - 3*w = 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k + 13. Calculate y(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -6761\nAnswer: 4\/6761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 + 7*a - 4. Let y be m(5). Let v be ((-15)\/10)\/(y\/8). Let q(h) = 140001*h + 2. Let w be q(v). What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2205*u**4\/2 + 13983*u**3\/2 + 1788*u**2 - 3006*u - 1080 = 0. What is u?\nAnswer: -6, -3\/5, -20\/49, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25.5 - 33. Let x = -7 - y. What is the second biggest value in -1, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 301388.37 rounded to the nearest 10?\nAnswer: 301390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**4 + g**3 - g. Let d(w) = -4*w**4 - 3*w**3 + 3*w + 4. Let j(o) = 3*c(o) + d(o). What is the first derivative of j(b) wrt b?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 12:01 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 25 = 0, 5*u + 3*j = j - 100. Let x = u + 27. Suppose 0*p + 159 = 2*p - x*h, -2*h - 244 = -3*p. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7.4 - 8. Which is greater: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 388 a factor of 7963165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -413 - -72. Let n = 340.99997695 + o. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17944 = 102*d + 12130 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -623612, -1247211, -1870810?\nAnswer: -2494409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0306? (a) -4 (b) 6 (c) 2 (d) 29\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, d: 9, s: 5, e: 2}. What is prob of sequence ide?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4 + 0 + 5 + 243*g**4 - 57*g + 140*g**4 + 2 wrt g.\nAnswer: 4596*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 117*p**3 + 2*p**2 + 3*p + 3. Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -8 - 8. Let g be 2\/x*8\/(-20). Which is bigger: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 + 7*k**2 - k + 3. Let r be g(3). Suppose -2*h + 48 = 3*j, 4*h - 2*h - r = 3*j. Is 21 a factor of 876\/h + (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of 1235*g**8\/336 + 151*g**5\/12 + 1189*g**2. What is the third derivative of p(j) wrt j?\nAnswer: 74100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 261 (base 8) to base 9.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 224434 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 30*z - 133593*z**2 + 133594*z**2 - 54*z)*(-7*z + 7*z + 4*z**2) in the form t*z**4 + k*z**2 + c*z**3 + g + x*z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 315 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -6*k + 16. Let q be 2 - (1 + -7 + -1). Suppose f + 1 = -3*c, c + 3 = 2*f - q. Sort -2, f, k in increasing order.\nAnswer: -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/8 (b) 2\/61 (c) -0.014 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = 5*r - 4350, 77*x + 4*r - 4349 = 72*x. Calculate the remainder when 1738 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.04 and -554?\nAnswer: 22.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1872) + 2 + (-2 + sqrt(325))**2 + sqrt(13).\nAnswer: -7*sqrt(13) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-15)*5\/((150\/(-12))\/(-5))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, w: 3, g: 1, q: 5, x: 4, m: 1}. What is prob of picking 1 s and 2 x?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4 + 8 = 0. Suppose -4*a = -4*p + 24, -j*a - 4*p - 23 = -2*p. Let g(o) = -o. What are the prime factors of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 36 = -2*s. Calculate the remainder when (69\/(-15))\/((-1)\/5) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 + 2. Let n be c(3). Let f(b) = b**3 + 10*b**2 + 6*b - 3. Let u be f(n). Let x = u + -47. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 259154.\nAnswer: 2, 7, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*k = 805 - 849 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 361250 and 215305.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.9? (a) 4 (b) 5 (c) 0.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2251\/1615 or 0?\nAnswer: -2251\/1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 1872 = -11*f. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y. Let o(x) = -x**2. Let m(n) = -5*o(n) - 5*r(n). Suppose -335*z + 350*z + 75 = 0. Let i(a) = -3*a**2 + 2*a. Determine z*i(h) - 2*m(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 4 - 2 - 3. Let b(f) = 2*f + 6. Let a(n) = b(n) + 3*u(n). Let p(m) be the first derivative of m - 1. Determine -a(s) + 5*p(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -507 - -503. Let d = 0 - -1. Which is the biggest value? (a) d (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*y - 21*y = 0. Let b = -3 - -7. Solve y = m - b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -474 - -473.9998987. What is i rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/(-68)*-20*15\/5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -7. Let m(s) = 18 - 6*s**2 + 11*s - 23 - 10*s**2 + 38*s + 0*s**3 + s**3. Let z be m(12). Solve -z*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1122.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-2)*24\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.7043 - 1866.5957. Round o to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -135.329 - -12?\nAnswer: -123.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -47, -148, -313, -542, -835, -1192?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2224 in -3, -1\/3, 0, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 732\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 + 22. Find the second derivative of -2*s - s + k*s**4 - 6*s**4 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/14)\/((-126)\/49)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 5*m - 43. Determine g(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 46 divided by -2686603?\nAnswer: -46\/2686603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -577253 - -21129191557\/36603. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 7*l - 5*d - 720, 0 = -d. Let w be 411\/(-27) - (-14)\/63. Let h = w + 33. Calculate the greatest common factor of h and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 5 = 0, -3*o + 0*d - 3*d + 3 = 0. What is the lowest common multiple of o and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -172 + 292. Let m = j - 1322\/11. What is the nearest to 0.1 in 0.3, 5, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 5*v**2 - 1. Let k(h) = 2*h**2 - h. Let p be k(-1). Suppose -1 = p*w + 2. What is l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 3*o - 114. Let c be k(40). What are the prime factors of 6 - ((-3192)\/7)\/c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 - 5*t**2 + 3*t + 1. Determine u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -42*t**4 - t**3 - 50*t**2 - 3*t - 3. Let b(w) = w**4 + w**3 - w**2 + w + 1. Let u(a) = 3*b(a) + d(a). Find the third derivative of u(z) wrt z.\nAnswer: -936*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttd when three letters picked without replacement from ddjbddqbdttdqbdqbj?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.76 + 0.66. Which is the closest to -17? (a) 4 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 2*b**2 - b - 4*b**3 - 6*b**3 + 0*b**3. Suppose 2*q - 7 = -4*y + 7, -3*y + 12 = 3*q. Calculate x(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -5*o + 68, 4*w - o - 59 = 213. Suppose -19*v + w = -236. What is the remainder when 40 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 75 + -20. Suppose 0 = 3*p - p + 2. Calculate the remainder when z*p\/(-1) - -1 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*k + 7463 = -9*k - 2*s, -2*s + 2974 = 2*k. Calculate the highest common divisor of 2769 and k.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vfvvfncvvvccvnnv. What is prob of picking 1 v and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4 + sqrt(605)*1 + (sqrt(605) - (3 + sqrt(605)))**2 + 3).\nAnswer: 64 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lgvvggrvvrwvrxgvvrgr. Give prob of sequence rl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/19, -0.7, 1\/4, 6, 5.\nAnswer: -0.7, -2\/19, 1\/4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-81 - (-55 - 31) - (1 - -5)) + 2 + -96\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3\/(-5)*(-19 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.014136105 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence es when two letters picked without replacement from {c: 2, e: 3, s: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7289?\nAnswer: 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 + 9*u**2 + 10*u + 1. Let v be o(10). Which is the smallest value? (a) v (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36315.956966 - -36316. Let g = -0.043 + h. What is g rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2162 + -3?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -1 + 4*m - 8 + 3. Suppose -h - t + 5 = 0, 4*h + 2*t = t + 17. Is l(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10\/(-4)*2 + -1. Let t be 6\/(-25)*20\/b. Let p = -11 - -15. Sort p, 0.2, t in decreasing order.\nAnswer: p, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 11) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19 + -14. Solve j = q*f + 21, -3*f - 45 = 5*j + 2*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102 divided by 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 30 = -3*z, 4*z + 6 + 9 = -3*l for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*s - 60465 + 59990 = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00074044 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from arjwwnn. What is prob of picking 1 j and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -907 + 1016.6. Let b = -109.598523 + w. What is b rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 4*z - 53 = 0, 2*z = 2*k + 3*z - 16. What is the remainder when 15 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u + 4. Let f be w(0). Let s = 5 - f. Calculate the least common multiple of 21 + s + 0\/2 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2*h - 4*k + 26 = 0, 74 = -3*h - k. Let p = 45\/2 + h. Sort p, 0.9, -3\/8.\nAnswer: p, -3\/8, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23 - -20.9. Let r = -17.1 - x. Let z = 20 + r. Put 1, z, 3 in ascending order.\nAnswer: 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-106)\/1590 - (-2 - 112\/(-60))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 + -46.999385. What is s rounded to five dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fxxfffffxff.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 - 7*c + 5. Let x be i(-5). Let v be x + -2 - (3 + -2). List the prime factors of (v + 1)\/(2 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4333630703.\nAnswer: 4333630703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -5663, -22657, -50967, -90581, -141487, -203673, -277127, -361837?\n\"Answer: 2*a**3 - 5670*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 2*c - 5*d - 3, 3*c - 3 = 4*d. Let x(z) be the second derivative of -z**4\/12 + z**3\/6 - z**2\/2 - 2*z + 23. Calculate x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.068 + -0.068. Sort h, -0.3, 13, -7.\nAnswer: -7, -0.3, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11d (base 16) in base 12?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 232 and 50924?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*i**2 - 7 + 7)*(-118 - 243 + 275)*(7 + 0 + 2).\nAnswer: -4644*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3337869.\nAnswer: 3, 1112623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(500) + (-3*sqrt(500) - sqrt(500))*-4 + sqrt(500)))\/(-2*1*sqrt(144)*3).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-516700)\/70)\/(2\/(-28)). What is the thousands digit of 3*(-2)\/(-24) - a\/(-80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 7. Suppose 2*f = b*f + 5. Let t(c) = -2*c - 7. Determine t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 7. Sort g, -2\/5, 3 in decreasing order.\nAnswer: 3, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 306402 (base 7) in base 3?\nAnswer: 2200021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 20 = 2*u, -u = -2*j + 678. Let w = j - 41. Suppose -216 = 3*d - 5*d - 4*b, -2*b = -3*d + w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2173 or -2166?\nAnswer: -2173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.535435 from 3.\nAnswer: 0.464565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-42)\/144*(-10)\/35)\/(-1)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.1 + 4.7. Suppose 1 + 9 = -5*j. Sort j, d, 4 in decreasing order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -416.3 + 439. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -3, -546878 in decreasing order.\nAnswer: 6, -3, -546878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16347735 is divided by 189?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -65\/4, -3 in decreasing order.\nAnswer: -3, -12, -65\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 15189 divided by -2?\nAnswer: -15189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2351 - 2316. Solve 0 = 9*t - 17 + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3.14, 0.001, 10, 2\/11, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 3:27 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*k**2 + 15*k + 1 - 1.\nAnswer: -4*k**2 + 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32\/360)\/((-10)\/15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2 + 141*d - 630.\nAnswer: -3*(d - 42)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + -4. Let a(f) = -3*f - 48. Let v be a(-16). What is the second biggest value in 2, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*r = -3520068 + 746955. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59 - 64 + 6 - 5381*o + 21.\nAnswer: -5381*o - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**5\/30 - g**3\/6 - 3*g**2\/2 - 3*g. Let z(q) be the first derivative of j(q). Find the first derivative of z(d) wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -95588418 by -47794209.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3604 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -526 = -i - i. What are the prime factors of i?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 49725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -245d (base 16) to base 10\nAnswer: -9309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -16742599 minus -0.227?\nAnswer: -16742598.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 433 divide 681542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/4 - (2 + -2))*(-25 + 86)\/(-2440)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 218992.\nAnswer: 2, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 5*b**3 - 2*b + 1. Let m = 4 - 3. Let g be d(m). Suppose -5*u + 4*v = -19, -g*u - 4*v + 36 = -2*v. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3916, 0 in decreasing order.\nAnswer: 3, 0, -3916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -60*k - 1990. Calculate p(-36).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6296957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -61 - -131. Does 71 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 8 = 2*m - 4*f, 3*m + 5*f = 1. What is the lowest common multiple of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11.7 - 2.1. Let d = 9.613 - g. Round d to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -125 divided by -25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/25, 0.4, 333, 0.1, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, -17, -72, -181, -362, -633?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 1, d: 2, j: 4, u: 1, m: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/2 + (3 - 3). Suppose 4*g - 26 = l. What is the smallest common multiple of 6 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 + -208\/7. Let s = -2 - 3. Which is the second smallest value? (a) s (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29\/107 - 475\/963. Let x = -0.04 - -5.04. Let h = -7.6 + 1.6. What is the nearest to q in 0.2, x, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5346*j - 53920 = -182224 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**31*o**21)**(8\/13) assuming o is positive.\nAnswer: o**(424\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 2250 by -9.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**4 - 5*n**4 + 0*n**4)*(10*n - 2*n + 0*n + (2 - 3 + 0)*(-2*n + 1 - 1) + 2*n + 0*n - 4*n).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tzzieeeei. What is prob of sequence izi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u. Let g(h) = 3422*h. What is t(g(c))?\nAnswer: 3422*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 5:25 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -42 + 6985*v**3 - 2*v**4 - 6985*v**3 + (-2*v**2 + v**4 + 2*v**2)*(0 + 1 - 3) + 4*v**2 - v**4 - 4*v**2.\nAnswer: -5*v**4 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -95889892.23 rounded to the nearest one thousand?\nAnswer: -95890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 50455031 (base 7) in base 8?\nAnswer: 20010435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -10.687089 and -0.1.\nAnswer: 1.0687089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h - 15 = 3*s - 9*h, 0 = -h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00010337 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 106, 335, 770, 1477, 2522, 3971?\nAnswer: 5890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -r + 3, -3*z + 0*r = 2*r + 9. Let u = 3\/5 - 16\/35. Which is the biggest value? (a) z (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2067 + -2072. Let s(h) = 3*h**2 + 5*h + 5. Let n = 5 - 2. Suppose u = -n*u - 32. Let x(f) = -2*f**2 - 3*f - 3. Determine j*s(r) + u*x(r).\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11581 - 11577. Solve -b*c - 2*i = -10, -25*c + 22*c + i = -5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**9\/7560 - h**8\/336 + h**7\/140 - 79*h**4\/24 - 3*h**2 + 33. Let q(v) be the second derivative of s(v). Factor q(a).\nAnswer: 2*a**2*(a - 9)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -2.29, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9446?\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -2 - (-15 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the second derivative of 7*i**3\/6 - 5*i + 9. Let d(u) = -2*u. Determine d(o(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 88 + -111. Sort 1, r, 0.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2062807*d + 332647*d - 2036189*d + 732499*d.\nAnswer: -3033850*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9\/60643 - 18310123099\/1212860. Suppose 4*n + 30192 = 2*n - 2*s, -5*n = -2*s + 75459. Let r = c - n. Calculate the common denominator of r and -115\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 11 = -5*k. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-0.012.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18737, 149893, 505881, 1199117, 2342017?\nAnswer: 4046997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 11*u**2 + 4*u + 57. Let w(c) = -31*c**2 - 12*c - 171. Give 17*b(x) + 6*w(x).\nAnswer: x**2 - 4*x - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 799572 by -6.\nAnswer: -133262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/25)\/(((-48)\/10)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1148490490 and 22890?\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252 + 495 = -9*v. Which is bigger: v or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(2\/7)\/i**(2\/5))**(2\/49) assuming i is positive.\nAnswer: i**(-8\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of l**4\/6 + 15*l + 1. Let a(c) = 80*c - 4. Let j(b) = 80*b - 3. Let y(u) = 2*a(u) - 3*j(u). Determine r(y(g)).\nAnswer: 12800*g**2 - 320*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 743310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/4)*o*o**(1\/8)\/o*(o**(-1\/4))**(-7)*(o\/o**(-2)*o*o\/o**(2\/5))\/(o**(-6)\/(o\/((o*o**(1\/2))\/o*o))) assuming o is positive.\nAnswer: o**(489\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 0)*(-3*i**3 - i**3 + 2*i**3 + (0*i - 3*i + 6*i)*(-i**2 + i**2 - 2*i**2)).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from svvshvhs.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fifc when four letters picked without replacement from cfcffccifcfcciccicif?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/48 and (-32)\/45*(-65)\/26?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5401 divided by -496.\nAnswer: 5401\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 5441 = 19215. Suppose 11*g - 1087 - b = 0. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-21*p**3 + 6*p**3 + 8*p**3)*(3 - 4*p + 6*p - 4*p) to d*p**2 + i + w*p**4 + m*p**3 + z*p and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 - 5*s**2 - s - 13. What is the tens digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/360 and -11\/114.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -8*c**2 - 40*c + 14. Let v = -331 + 327. Let x(m) = -4*m**2 - 19*m + 7. Let k(b) = v*u(b) + 7*x(b). Factor k(g).\nAnswer: (g + 7)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -9*l**3 + 10*l**2 - 3*l - 2. Let v(h) = -10*h**3 + 13*h**2 - 4*h - 2. Give -4*m(i) + 3*v(i).\nAnswer: 6*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 223 divided by -1\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-10)\/4*600\/(-5250). Which is the closest to 1\/2? (a) 2 (b) 1\/69 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -18, -230, -584, -1080?\n\"Answer: -71*s**2 + s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10013\/5 - 2009. Calculate the common denominator of -69\/752 and v.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/6))**(-2\/15) assuming v is positive.\nAnswer: v**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -c + 123, -4*z + 5*c = -92 - 13. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**11*o*o\/o**(3\/14) assuming o is positive.\nAnswer: o**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -5*i**2 + 12*i - 4. Let v be 26\/(-169) + (-56)\/(-26). Let u be f(v). Let j be 3*(0 + 8\/6). Solve -5*d - y - 3*y + 10 = u, -2*y = j*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of ((-7985198)\/(-1182))\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10*3\/(-45))\/(-2)*-81.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (1 - 3) + -125 + 133\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -165696, -662813, -1491342, -2651283, -4142636, -5965401?\nAnswer: -8119578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -736 - -1558. Are w and 822 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k = 10 + -25. Let d = k - -83. Let s = -69.74 + d. Round s to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 61*t - 91*t - 75*t to q*t + n and give q.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (27 + 270\/(-12))*(-4)\/(-15).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 19*a**2 - 30*a + 39. Let s(w) = 19*w**2 - 35*w + 40. Let d(y) = 6*j(y) - 5*s(y). Differentiate d(c) with respect to c.\nAnswer: 38*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 204251226.\nAnswer: 2, 3, 17, 73, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.1 + 0.7. Let t = 1.7 + q. Let g = -1.2999993 + t. What is g rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 17 = 49. Let t be (0 - 2)*11\/2. Let s = -7 - t. Solve 2*y - 4 = 4*y + 2*d, 4*y - j = s*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 + 63*r**2 - 125*r + 192. Determine p(61).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2245*r**4 - 2*r**3 - 79*r**2 + 22302570*r wrt r.\nAnswer: 26940*r**2 - 12*r - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1148081 divided by -649\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 47*q + 3193. Calculate j(-68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.8 - 3.8. Let r = -0.2 - -0.3. Which is the biggest value? (a) r (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 PM and 10:55 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 12*g - 19. Give k(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*b = 22*b + 46*b - 27. Put -45, b, -3, 2 in increasing order.\nAnswer: -45, -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = 2*v + 7, 18560*i = 18556*i + 4*v + 64 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1118157 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72283?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -166535, -166531, -166525, -166517, -166507, -166495?\n\"Answer: q**2 + q - 166537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**2 - 1073612*v + 1073608.\nAnswer: 4*(v - 268402)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/2761038 and -41\/3465.\nAnswer: 151857090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 244510457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1324 + 12?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/(x\/(x**16\/x))*x*x**4)\/(((x*(x*x\/(x*x**(-13)\/x)*x)\/x)\/x*x)\/(x**(4\/3)\/x*x)) assuming x is positive.\nAnswer: x**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -826 divided by -2\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 - ((-1 - 1) + 2). Suppose -4*f = -9*f + 1030. Let m = -2268\/11 + f. Which is the closest to w? (a) 1\/3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 5, 1\/5, 1\/11, 0.03, 1\/6 in decreasing order.\nAnswer: 5, 1\/5, 1\/6, 1\/11, 0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*r**2 - 111614*r - 37204.\nAnswer: -2*(r + 18602)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1481900 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -28639 * -0.4.\nAnswer: 11455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 443979 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 221815 and 0.1.\nAnswer: 22181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.166, -1795, 0 in decreasing order.\nAnswer: 3.166, 0, -1795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - 1 - (4 - 5). Suppose 2*n + 82 = 4*n + w*h, 191 = 4*n - 5*h. What is the greatest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*z + 6 = -8*z. Suppose t - z*c - 28 = 0, -t + 0*t + 4*c = -29. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -334 (base 10) in base 11?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.1*202296698\nAnswer: -20229669.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13 - 4529719?\nAnswer: -4529706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -269, 2, -93.\nAnswer: -269, -93, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 10 = 2*r + 3*r, -4*b - 5*r = -20. Let s = 19 + -5. Suppose -3*i = s - 38. What is the remainder when i is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-157)\/((-77715)\/27786) - 56. Factor 6\/5*n**2 - c*n**3 + 2 - 46\/15*n.\nAnswer: -2*(n - 5)*(n - 3)*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be -24 + 23 + 18 + -23. Let i(g) = 7*g - 4. Let u(o) = 7*o - 4. What is x*u(k) + 5*i(k)?\nAnswer: -7*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -89647 <= -806818\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*h - x + 17, 0 = 312*h - 316*h - 5*x + 8*x + 2*x - 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h - 172 + 11 = 0. Let l = -18 - h. Let k(s) = s. What is k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 0.5 (c) 5 (d) 6\/9053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 158 = -4*j - 4*o, -4*j + 148 = 4*o. Suppose -16*a = -j*a + 14400. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0021067587 and -8.22.\nAnswer: -8.2178932413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1\/6)\/(f*f\/(f*(f**3*f*f)\/f)))\/(f**(-1\/5)\/(f**(-1)\/f)))\/((f**(3\/4)\/f)**(-47))**(14\/9) assuming f is positive.\nAnswer: f**(-776\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14739 and 4.\nAnswer: 58956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2756)\/(-39) - ((-336)\/9)\/(-14). Suppose 0*q - 2*c + 1788 = 4*q, 0 = -4*c + 16. Suppose s = 3*i - q. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -17 + 18. Let y be -2*(1\/(-4) + 0). Is y at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (15\/36)\/5*-2. What is the third biggest value in -1, l, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(6*sqrt(5040)*1)\/(sqrt(45)\/(-3*-4*sqrt(9))).\nAnswer: 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4719 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -261*c**2 - 229*c**2 - 110*c**2 - 48*c**2.\nAnswer: -648*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 410*b**2 + 9\/2*b**4 + 136*b + 312*b**3.\nAnswer: b*(b + 68)*(3*b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/((-3060)\/(-1782)))\/(228\/(-3876)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.17 + 4.83. Which is the second biggest value? (a) k (b) -0.06 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 250\/40 + -4 + 1\/(-4). Put 8, -0.4, -2, c in ascending order.\nAnswer: -2, -0.4, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6.08732 to one dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 6, f: 3, e: 1, j: 1, c: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -40930, -81874, -122818?\n\"Answer: -40944*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51396617?\nAnswer: 51396617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/((p**(-27)*p)\/p)*(p*p**(1\/8)\/p)\/p*p**(-39)\/p*p**(1\/20)*p assuming p is positive.\nAnswer: p**(-473\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/77, -10375, 3 in descending order.\nAnswer: 3, 1\/77, -10375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 12 = 2*p - 8, -5*z = -4*p + 45. 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 the common denominator of 71\/118 and 33\/8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -1130\/167?\nAnswer: -1130\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**2 - 5*n**2 + n**2 + (2 + 3 - 6)*(n**2 - n**2 + 2*n**2) - n**2 - 4 + 4)*(-n - 5*n + 4*n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**2 + 1943*q - 67683. Determine t(34).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -177, -1, -45 in ascending order.\nAnswer: -177, -45, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -86, -3, 4.\nAnswer: -86, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*c + 204 + 527 = 0. Solve 13 = -6*m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120) + (sqrt(120) - sqrt(120)*1*4) + sqrt(120))\/sqrt(8))\/(sqrt(243) - ((sqrt(243) + sqrt(243)*2)*-5 - sqrt(243))).\nAnswer: -sqrt(5)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9120 divided by -60?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 7562500\/7 + 11000\/7*v + 4\/7*v**2.\nAnswer: 4*(v + 1375)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 2*k - 10, -6 + 28 = z - 4*k. Let l(p) = 74*p - 24. Let s(m) = 15*m - 5. Determine z*s(w) - 3*l(w).\nAnswer: -12*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -107\/22141 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 14 = 4*y, -25 = 5*p - 10. Let c(z) = 3*z**2 + 2*z**y - 6*z**2 + 8. Suppose -4*i + 17 - 7 = 5*u, -10 = -2*i - 5*u. Calculate c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 5022247.5 times 0.2\nAnswer: 1004449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-5)\/2 - -2)*-8542. Let l = 3821 + -5849. Let t = l + y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27927892.\nAnswer: 2, 6981973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/2547 in 5, 2\/21, -132?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 355*n - 397. Let o = -12.07 - -12. What is the fourth biggest value in o, n, -5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -105 - -111. Calculate the least common multiple of g and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96826 is divided by 8124.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1007 + 107 = -5*y. Let m(w) = -42*w + 4. Let n be m(-2). Let k = y - n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 + 4*m**2 - 8*m - 27. Calculate a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 73 (base 13) to base 3\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*c**2 - 310*c**2 + 228*c**2.\nAnswer: -132*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2 - 16)\/(-2) + 2. Let t(b) = b**2 - 11*b + 6. What is the units digit of t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37197 is divided by 12387.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 39.7 - 36. Let b = o - 3.3. What is the nearest to 7 in 2, b, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7551 - 7532. Let g = -0.09 + 5.09. Which is the second smallest value? (a) -0.1 (b) p (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o**(2\/5))*o)\/o**(1\/4)*(((o\/(o*o**(-1\/5)))\/o)\/o)**(-31) assuming o is positive.\nAnswer: o**(1123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 - (-87)\/45)*3. What is the closest to 2\/7 in y, -1, 4, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in 2*m**2\/3 + 1735700*m\/3 - 1735702\/3 = 0?\nAnswer: -867851, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 12706111309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4199 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10145 is divided by 4999.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/12, 1, 0.1, -11, 0.576, -9.\nAnswer: -11, -9, -1\/12, 0.1, 0.576, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 800 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 475 and 4725585?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*u + 5*d + 37 = 0, -2*u = 3*d + 9. Suppose 8 = u*n - 2*n - 5*t, -3*t - 18 = -5*n. Is -1 + n - (-24 + -2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1 + (-47)\/32*2 and 33 - (-21 + 26481\/490).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 92159 - 200259. Round y to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 5771, 11538, 17291, 23024, 28731, 34406, 40043?\n\"Answer: -c**3 - c**2 + 5777*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -52*g**4 + g**2 + 12*g - g**2 + 61*g**4 wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 65.7 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 4. Let t(n) = -2*n**2 + 5*n - 1. Let w(h) = -h**2 + 4*h - 1. Let z(r) = -4*t(r) + 5*w(r). What is the smallest common multiple of 20 and z(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 32 in -15.5, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5162679*q**3 + 7999*q**2 - 282?\nAnswer: 30976074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + -1 - (-6 - (-9 - -6 - 5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 + 2*b + 24. Let u(v) = 3*v**3 + 4*v + 47. Determine -5*r(z) + 2*u(z).\nAnswer: z**3 - 2*z - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (6 - 8) - 2 - ((18 - 72) + 20).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -3*g**2 - 3*g - 30. Let u(i) = 10*i**2 + 10*i + 88. Give -14*b(j) - 4*u(j).\nAnswer: 2*j**2 + 2*j + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -111122*j**5 + 61732*j + 2 wrt j?\nAnswer: -2222440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -3*c + 3. Suppose u = -3*l + 11, l + 4*u - 5 - 17 = 0. Suppose -l*n + 8 = 0, 4*n + 2 = -0*z + 2*z. Suppose -16 - z = -5*i. Calculate o(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 103559, 103686, 103889, 104162, 104499?\n\"Answer: -p**3 + 44*p**2 + 2*p + 103514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) + 6*-2*sqrt(84))\/(-2*sqrt(12)*1 - sqrt(12) - sqrt(12))*4)**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -767 at most -2886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2 - 6207*k + 55620.\nAnswer: 3*(k - 2060)*(k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 10) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47\/5 - 63\/10. Calculate the common denominator of (30\/100)\/(36\/(-290)) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 47 - 678. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s - 25. Calculate a(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 7233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -164*j**2*r**2*v - 2*j**2*r*v + 20*j**2*v + 2314*j*r**2*v + 4*r*v - 61 wrt r?\nAnswer: -328*j**2*v + 4628*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*u - 41763 = 15401. List the prime factors of u.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 290 (b) 0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.13 (b) 5\/4 (c) -51 (d) 1\/6 (e) -0.5 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, 1, 2, 4, -5, 21, 146 in descending order.\nAnswer: 146, 21, 4, 2, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 96, 622, 2056, 4854, 9472, 16366, 25992?\nAnswer: 38806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0, 1\/3, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c + 51. Let z(h) = -9*h**2 - h + 35749. Give z(i(l)).\nAnswer: -9*l**2 - 919*l + 12289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 5*n = -1, -5*n = 196*m - 198*m - 4. Solve 10*f - 2*y - 10 = 5*f, -m*f + 6 = 3*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 621 - 626. Let n = 1 + -1. Which is the second biggest value? (a) x (b) n (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 192\/224*28\/20 + -1 + (-262)\/10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-15) + (-646)\/57*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7938458510?\nAnswer: 2, 5, 23, 157, 191, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - 2 - -5 - (-19 + 12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2718, -5436, -8154, -10872?\nAnswer: -13590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*v**(-1)\/v*v))\/v*v**(1\/10))\/((v*v\/(v*v**(-2\/5)))\/(v\/(v*v*v**(-5\/2)))) assuming v is positive.\nAnswer: v**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6\/2230903 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 21 and -0.3.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1100)*-1 + 1 + 3)*-3)**2.\nAnswer: -720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*l + 15*l - 4*l + 14*l - 17*l - 7*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13*(-44)\/(-9) - (-27220)\/61245?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3\/5 - 216*c**2\/5 - 906*c\/5 + 224.\nAnswer: 2*(c - 112)*(c - 1)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-2*sqrt(539).\nAnswer: -56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3653.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.288060204 rounded to 5 decimal places?\nAnswer: -0.28806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 895324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 7001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 619739430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((5\/(-246))\/(-5))\/(37\/74)*12\/2.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-v + 4*v - v)*(9*v**2 - 7*v**2 + 25*v**2) to k + s*v**2 + w*v + h*v**3 and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 22.89546l to millilitres.\nAnswer: 22895.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 616\/5 - 123. What is the nearest to 0.2 in -0.2, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 40*h. Let p be u(-4). Let o = 479 + p. Suppose o = 2*d + 133. Is d a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6174 - 6177. Sort -5, 1, 4, -17, o in decreasing order.\nAnswer: 4, 1, o, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 566638308 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -9531, -465, 3 in ascending order.\nAnswer: -9531, -465, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 5:32 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -3*c**2 - 9*c**2 + 1 - 4*c + 22*c**2 - 7*c**2. Suppose -2*f + f + 4 = 0. Let g be z(f). What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the third derivative of -2363*i**4\/8 + 1651*i**3\/6 - 275*i**2 - 8. What is the first derivative of g(a) wrt a?\nAnswer: -7089","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3410611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 753735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/7*(-12782)\/(-1826).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -6 (b) -1\/8 (c) 260 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*f - 22, 10 = -2*x + 4*x - f. Suppose -2*p + 19 = -3*p + x*r, -3*p - 7 = -2*r. Let l = p + -1. Solve l = -3*z - 12 - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 - f - 2. Suppose -u + p - 2 = 0, 0 = -3*u - 5*p + 7 + 19. Calculate o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + 158. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.3 + -0.4. Let u be 0 - -5*2\/1. Let v be (2\/u)\/((-2)\/5). Is v less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7291 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12791?\nAnswer: 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1502\/10514)\/(14\/(-4)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z - 5*h + 106, 3*z - 6*h - 136 = -2*h. Calculate the remainder when z is divided by (-12)\/78 + 223\/13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d - d**2 - 45 + 45 + 2*d**2 to the form u + g*d + y*d**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the second derivative of 0*g**2 + 3*g + 1\/6*g**4 + 0 - 1\/3*g**3. Find the second derivative of b(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 724 is divided by 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -48 + 267. Calculate the remainder when f is divided by 143.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/3*(109 - 101). Let w(b) be the first derivative of 0*b + 0*b**2 - j*b**3 - 13 + 23\/4*b**4. What is the third derivative of w(y) wrt y?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 2 = -3*s. Let x be 14 - s - (-4 - -4). Let q = x - 9. Put q, -5, 0 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -29 + 34. Suppose -y*g + 796 = -319. Is 57 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -4348 * 25230\nAnswer: -109700040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k*k\/((k\/(k**(-5)\/k))\/k*k*k))\/k*k*k**2)**(-38) assuming k is positive.\nAnswer: k**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m**3 + 8*m**2 + 5*m - 36. Let c(a) = -a**3 - a - 10. Let f(o) = -3*c(o) + q(o). Let z be 102\/(-14) + 4\/14. Determine f(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 91? (a) -0.3 (b) 3 (c) -0.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2662\/9 - 127072\/3*l**2 - 877952\/9*l**3 - 18392\/3*l.\nAnswer: -2*(76*l + 11)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 21 + 417. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**2 + 5*f - 4. Let q be r(3). Suppose -5*w + 8 = -q. Suppose -5*o + 18 = -w*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**2. Let a(m) = -m - 7. Let r(z) = z + 6. Let t(c) = 6*a(c) + 7*r(c). Determine t(h(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -7*j - 7. Give v(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4, 7, 17, -549, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 37*m - 1103*m**4 + 1101*m**4 - 17 + 5 wrt m.\nAnswer: -8*m**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from lfhlhlhwhlhhhlrhrh?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(13)*1 + (sqrt(143)*2 - sqrt(143))\/sqrt(11))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/28, -26, 0.1, 0.6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3785, -7573, -11361, -15149, -18937, -22725?\n\"Answer: -3788*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(70) - (sqrt(70) + sqrt(70)*4) - sqrt(70)) + sqrt(70) - sqrt(70))\/(sqrt(10)*-2*-4).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**3 - 42*x**2 - 81*x - 18. Suppose 7*l - 4*l + 120 = -w, -3*l = -3*w + 120. Let a be b(l). Calculate the greatest common factor of a and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 237, 729, 1677, 3231, 5541, 8757?\nAnswer: 13029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3 + 183\/30 - 4\/(-10). Put 0.3, 0.5, y in ascending order.\nAnswer: 0.3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*a - 3*a - 620*a**2 + 95*a**3 + 617*a**2 + 3*a.\nAnswer: 95*a**3 - 3*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3172 + 3171. Is z at most as big as -2916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 97 + -96. Let y = -0.3 - 0. Which is the closest to 0.1? (a) o (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 885 a factor of 637510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the third derivative of 5\/24*q**4 + 0 + 0*q - 59*q**2 - 1\/60*q**5 + 1\/3*q**3. What is v(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -568, -515, -462, -409, -356?\n\"Answer: 53*a - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/10 + (-32)\/(-20). Suppose 0 = 3*q - 3*t - 0 + 3, q + 4*t - 14 = 0. Suppose 0*i = i - q. Solve -4*z + 16 = -4*f - 0, i*z = -v*f - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-749745200)\/(-1136) - 2\/(-71) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16*m*o**2*y + 2402*m*o**2 + 15*m*o - 13663*m*y - m - o + 4 wrt y?\nAnswer: -16*m*o**2 - 13663*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-5\/9)*d**(-3\/25))**35 assuming d is positive.\nAnswer: d**(-1064\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -4291 times -11828\nAnswer: 50753948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1031, 2091, 3161, 4247, 5355, 6491, 7661?\nAnswer: 8871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 1 + 70*h - 1.\nAnswer: 70*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 23 = 4*u + 5*n, -3*u = -5*n + 9. Let f(g) = g**2 - 3*g**2 + u*g - g**3 + 3*g**2 - 3. Calculate f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 95, 77, 57, 35?\n\"Answer: -g**2 - 15*g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4359*m - 31579 + 7728 + 91423 + 67557 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -4*b**2 + 586200*b - 21476902500 = 0.\nAnswer: 73275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*b**3 - 702*b + 80 + 702*b.\nAnswer: 7*b**3 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -347 and 1.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2660 = -9*w + 16*w. What is the highest common divisor of 114 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32 - 42) + 20 + (-5 + 0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - (13 - (7 + -3))) + 820. Let u = 822 - z. Solve -4*i = -4*f - 16, 4*f = -u*i + 3*i + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0053963117 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + 0. Suppose 0 = g - 8 + 3. What is the derivative of 14 - 11*u**4 - g*u**4 + 4*u**s wrt u?\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 1 - 3 = 0. Let t be (-1)\/w + (-106)\/(-4). Let i = t + -17. What is the least common multiple of i and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 8. Suppose 0 = f - r + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 133400521 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4 - 13, 4*g + 4*c = 60. Suppose -2*v - g = -5*v. Let o be 3 + 4*3\/v. Solve -o*x + k = -4*k + 45, 4*x + 2*k = -6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 83\/2 - 40. Let p = -115447 - -461821\/4. Determine i, given that -27\/4*i**2 - c - p*i = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*u - 76*u + 57*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 536 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(2\/15)*p*p\/p**(-22)*p*p)**(-26) assuming p is positive.\nAnswer: p**(-10582\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1612.8 + -1613. Which is the second biggest value? (a) p (b) 573 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2518, -2519, -2520?\n\"Answer: -s - 2517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -9, -21, 0.5, 4, 53?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 1 - 14. Let j(u) = 0*u + 1 - 8*u + 7*u + 5*u**2 - u**w + 3*u. Determine j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 261 - 13. Suppose -4*t + o - 40 = 0. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 336\/(-5) + (-32)\/40. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2. Let k(j) = -524521*j. Determine b(k(i)).\nAnswer: -275122279441*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 5:34 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 + 16*s**2 - 18*s. List the prime factors of k(14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11 - 17. Let c be 4\/14 - 2120\/v. Is -1 + c + -1 + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*y**2 + 28*y**3 - 27*y**3 - 30*y**3 - 24*y**3 + 3*y**3 in the form b*y**2 + c*y**3 + x + j*y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -1\/4 (b) 10 (c) 1 (d) -26 (e) 7 (f) -0.001 (g) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1861 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 994 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -53 by 21.\nAnswer: -53\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -12254 divided by -5\nAnswer: 12254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 3 (c) 55.86 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 PM and 4:38 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 359 - -414. Suppose -7*i = -f - 2090. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 377219779 to the power of 1\/2, to the nearest integer?\nAnswer: 19422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 0 - 40*w - 2 - w**2 - 6 + 25*w. What are the prime factors of z(-12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -25293 - 111?\nAnswer: -253a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 69.9 + -70. Which is smaller: 28\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h. Let a(c) = 335763*c**2 - 5. Give a(u(w)).\nAnswer: 1343052*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -955277 + 954746.363. Let l = f + 531. What is l rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 - -18. Solve 0 + 13 = -d - 4*s, w*s + 31 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -15? (a) -1\/4 (b) -0.15 (c) 0.4 (d) 0 (e) -0.76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 11401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the first derivative of -11*j**4\/4 - 7*j**2\/2 + 460. Let t(l) = -5*l**3 - l + 10*l**3 + 4*l. Calculate 2*s(w) + 5*t(w).\nAnswer: 3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16 - 9146\/595) + (-6)\/14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 + 1. List the prime factors of q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -309, -582, -831, -1044, -1209, -1314, -1347, -1296?\n\"Answer: 2*h**3 - 287*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2084303533 - 2084303533 - 16*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22*25\/(-25) - (1512\/(-810) + (-4)\/30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (261\/(-36))\/(1\/(-4)). Let z = l + -27. Let -13\/6*t**2 - 2\/3 - 1\/6*t**4 + t**3 + z*t = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ihci when four letters picked without replacement from hihchhicicichhicchi?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 16430421 (base 8) in base 11?\nAnswer: 2175284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + -123?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 16*o**6\/3 + o**4\/12 - 43*o**2\/2 - 3*o + 17. Find the third derivative of b(p) wrt p.\nAnswer: 3840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -7*l**2 + 1. Let u be d(-1). Let h(n) = n + 5. Let f(k) be the second derivative of k**2\/2 - 30*k. Determine u*f(x) + h(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 + 16 = -2*q. Let x be ((-2)\/q)\/((-3)\/9). Suppose x*w + 0*w + m = 328, 5*w - 820 = -m. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -2*x**3 - 15*x**2 + 7*x - 8. Let d be p(-8). Solve 4*w + 1 - 21 = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -10\/7, -1\/6, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 - 5*u + 3. Let x be g(-5). Let s be 2 + 2 + (2 - x). Suppose -s*k - 2*k + 35 = 0. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -2*p**2 - 149*p - 2478. What is f(-20)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t**2 + 138004*t + 138008 = 0. What is t?\nAnswer: -1, 34502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*h - 35 = 134 + 91 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of 5*d**3\/3 + 6*d + 9. Differentiate g(q) with respect to q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96 - 3*y**3 + 16*y**3 - 119 + 23.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 4*q - 6. Let l(y) = y**2 - 9*y + 19. What is the remainder when l(12) is divided by r(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of a**3\/3 + 3*a**2 + 4*a - 1. Let q be u(-6). Let l = -3 - -7. Calculate the highest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange h**2 - 3 + 3*h**4 + 9*h**3 - 5*h**4 + 4*h**4 - 4*h**3 to z*h**3 + j*h**4 + o + n*h + g*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 10, e: 2}. Give prob of sequence jee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 128826 and 2601.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -255, -477, -691, -891, -1071, -1225, -1347, -1431?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 23.1 + 22\nAnswer: 45.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 37*g - 306. Calculate q(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from dvlphud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ozodzzyzyycz. What is prob of picking 1 d and 1 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of -38*z**2 + 139\/6*z**3 + 0 + 149*z. What is the first derivative of q(g) wrt g?\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:07 PM and 6:09 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-47022)\/(-3162) + 135\/(-9).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/8*(-15976)\/41937)\/(((-4)\/(-2))\/(-1106))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 615 + -550. Let d = 47 - 73. Is 47 a factor of 1 - ((-4)\/d + (-9110)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 533*f - 3. What is the tens digit of u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 + -2. Suppose h*o - 4 = 4*o - 5*t, -3*t = -2*o. Let g(l) = 5*l - 26. Let d be g(6). Solve d*x - 3*q = -14, -2 = -3*x + x - o*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = q + 3, 16*v + 5 = 11*v + 5*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 104\/(-16)*2*1836\/663\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -5*l**3 + 39*l**2 + 4*l + 5. Let r(q) = -q**3 + 8*q**2 + q + 1. Calculate -11*r(m) + 2*z(m).\nAnswer: m**3 - 10*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -2*o**2 - 6*o + 1. Let l(a) = 16*a**2 + 30*a - 5. Let j(m) = l(m) + 5*s(m). Let c(x) be the third derivative of -x**5\/30 - x**2. Calculate j(c(n)).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/683252 and 67\/18.\nAnswer: 6149268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x. Let h be a(1). Let u(v) = 5*v + 134194 - v + v**2 - 134197 - v**3. Calculate u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (1 - 20\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, j: 1, s: 2, x: 2, g: 7}. What is prob of sequence gsfj?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 108 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1008 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, r: 2, w: 2, c: 1, g: 1}. What is prob of sequence prr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {y: 14, c: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 712430\/7 - 101963. Let m = -187 - s. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 96 and 27792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 46644 + -26892. Which is bigger: x or 19753?\nAnswer: 19753","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 109 = -1. Let v be (-84)\/64*-4 - (-3)\/(-12). Let k(l) = -l**3 + 5*l**2 + 7*l - 13. Let r be k(v). Are o and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*d - 3*a, -d = a + 3 - 8. Solve d*q = -2*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ddddddddddilii.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -22*l. Let k(u) = -7*u. Let j(i) = -7*k(i) + 2*n(i). Suppose 5*q - 871 = -746. Let h(m) = -13*m + q*m - 10*m. Determine h(j(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d**2 + 8*d**2 - d**2 + 1 - 13*d**2 + 2314*d to c + f*d**2 + m*d and give m.\nAnswer: 2314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 54251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1692*y**3 + 277*y**3 + 2*y - 2*y.\nAnswer: -1415*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n - r = -8*n - 2, 2*n - 3*r + 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4757 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -561, -571, -593, -633, -697, -791?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c**3 - 2*c**3 + c**3)*(-1708*c - 5191*c - 1630*c - 3506*c - 4431*c).\nAnswer: 16466*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(144)\/(sqrt(8)*3))\/((sqrt(198)\/sqrt(11))\/sqrt(2)) + -3.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 - 4*c**2 + 4*c - 9. Let o(u) = 3*u**2 + 9*u + 4. Let y be o(-3). Let n be l(y). Suppose -1 + n = 3*i. Solve 6*v - 16 = i*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(108) + 0 + sqrt(108) + 1)**2*5 + (3*sqrt(108) + 5 - (-1*sqrt(108) + -1))**2.\nAnswer: -6896 - 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.0086 - -0.0386. Let f(c) = c**2 - 8*c + 6. Let w be f(7). Let m be (-1)\/(-3) - w\/(-1). Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21\/(-24)*(-26)\/13104*-18?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u**3 - 8 - 2*u**3 - 4*u**3.\nAnswer: -10*u**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of -s**8\/1848 + 68*s**7\/1155 - 7*s**6\/4 - 34*s**5\/165 + 289*s**4\/33 - 1472*s**2. Determine y, given that d(y) = 0.\nAnswer: -1, 0, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1216 + -1215. Are 3\/953 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -9*a**3 + 4*a**2 - 12*a + 4. Let q(f) = 9*f**3 - 5*f**2 + 13*f - 5. Let d(x) = -4*q(x) - 5*z(x). What is the second derivative of d(k) wrt k?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 2*j + 7. Let s(l) = -l - 1. Calculate -s(b) - u(b).\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4 - (-1 - (-60)\/(-25)). Which is the nearest to 1\/3? (a) 1\/2 (b) -2\/13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -167 (base 10) to base 14\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 8 + 0.22194\nAnswer: 8.22194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -148, -361, -574, -787, -1000, -1213?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22830, 22961, 23178, 23481, 23870?\nAnswer: 24345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -4*a**2 - 1 + 2*a - a**3 - 17*a + 22*a as x + f*a + y*a**3 + p*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2051 (base 16) to base 8\nAnswer: -20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*m + 5 = -98*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/120 and 89\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1d - -c70?\nAnswer: c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of -1\/3*l**3 + 0 - 5*l + 0*l**2. Let o(v) = -v**2. Determine u(o(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2888 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -12, -61, -144, -261?\n\"Answer: -17*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**3 + 2*o**2 + o - 38. Let l be w(0). Let y = -43 - l. Let t(x) = 2 - x - 4*x + 7*x + 0 - 3*x. What is t(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 6) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (223 - 455 + 223)*(-3*o + 0*o + 2 + 5*o) as a*o + r and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 35685179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -q - 10*w, -q - 40157*w + 40155*w = 24 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 99753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c + 1. Let x(q) = -10*q**2 + q + 5. Let w(s) = -2*s**2 + 1. Let g(v) = 4*w(v) - x(v). Let p(t) = -g(t) - k(t). Let i(b) = 3*b**2. Calculate p(i(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -4253, -7922, -11591, -15260, -18929, -22598?\n\"Answer: -3669*y - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = l + l + 7, -4*o = l - 13. Suppose 0 = o*d - y - 10, -14 = 4*d - 7*d + 2*y. Determine m so that -4\/7 + d*m + 6\/7*m**3 - 16\/7*m**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o - 4. Let b = -8 + 2. Let c be j(b). Find f, given that -5*f - f**3 - f - 5*f**c + 9 + 3*f = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2096720499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -246 = 53*i + 19. Let z(q) = -56*q - 3. Let t be z(3). Let u = i - t. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24, 68, 184, 408, 776, 1324, 2088?\nAnswer: 3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 10332 by -17082.\nAnswer: -574\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.5, 29\/7, -5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 14644 - 14680 = 4*u - 5*q, 37*u + 1172 = -255*u + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 765\/14, 3\/364, -1 in decreasing order.\nAnswer: 765\/14, 3\/364, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 69 + -1451\/21. Suppose w - 14 = -4*h, -1 = 3*h - 4*w - 2. Sort -0.1, l, h.\nAnswer: -0.1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-4))\/(189\/(-168)*-1).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*c + 17*c - 112. What is the derivative of -26 + 41*b**3 - 28*b + 0*b**2 - 104 + c*b - 3*b**2 wrt b?\nAnswer: 123*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8101 - -8101. Is g smaller than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 3 + (sqrt(612) - (-5 + (sqrt(612) - (0 + sqrt(612))) + sqrt(612) - sqrt(612))))**2 + 0 + 1.\nAnswer: 156*sqrt(17) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16088.043 + -16072. Let q = 0.043 - w. Sort q, 1, 5.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p - 1. Let l(c) = -2*c**2 - 2*c + 3. Suppose -2 = -41*s + 39. Determine s*l(r) + 3*a(r).\nAnswer: -2*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 257672 = 8723*b - 4567*b for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 4 = 14. Suppose 0 = -8*p - 3 + 35. Suppose t*n = p*f + 108, 5*n - 3*f - 17 = 232. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**3\/(i*i\/i**(-4)*i))\/(i**(3\/10)\/(i**(-2\/37)\/i)) assuming i is positive.\nAnswer: i**(-1981\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -199315.5 to the nearest 100.\nAnswer: -199300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 AM and 1:16 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1086258372 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**2 - z**2 + 5*z**2)*(86*z**2 + 42874 - 42874).\nAnswer: 172*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 41233 - 3?\nAnswer: 41230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15518269939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-38*i - 8*i - 3*i - 2*i**2)*(0*i - 2*i - 2*i)*(3 - 3 - 1) in the form w + u*i**2 + l*i + z*i**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -2*y - 10. Suppose 2*d - 7*d - 35 = 0. Let f be b(d). Calculate the common denominator of (2\/f)\/((-5)\/2) and 44\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, l: 4, a: 5}. Give prob of picking 1 a and 1 l.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + 0 + sqrt(7)*2)*5 + -4.\nAnswer: -4 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3638333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h**3 - h**2 + 6*h. What is the units digit of u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 25 - 27. Let n = -53 + 57. Which is the fourth biggest value? (a) 2 (b) u (c) -2\/11 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 3*i**3 - 3*i**2 + 2*i + 2. Let c be h(1). Solve 3 = -3*p + c*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 261 = -2*r + 226, -4*y = 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**2 + 3*n**3 + n**2 - n**2)*(3 - 3 + 3).\nAnswer: 9*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 75.456118 times -0.5\nAnswer: -37.728059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 875241 and -58.\nAnswer: -50763978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (24\/10)\/((-1)\/((-35)\/21)). Solve 3*h = m + q, -3*m = -2*m - 2*h + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -303*k**5\/4 - 378*k**4 - 447*k**3\/2 + 684*k**2 - 27*k\/4 = 0.\nAnswer: -3, 0, 1\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4374 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6642 - 6*d - 1327 - 1325 - 1333 - 1328 - 1332.\nAnswer: -6*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.3977 - 2.4. What is g rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 3*v = 12, -j + 5*v + 1321 = 1301 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 5, -128, -2\/3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23558 is divided by 2846?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 8*f - f - 4*f + 2*f in the form z + q*f and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6 + -35683866082?\nAnswer: -35683866082.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 1 g, and 1 x when three letters picked without replacement from gylgyqgqgqxgogyglogq?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -1)\/(3240\/(-252) + 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 10*k + 1. Let l(o) = 19*o + 2. Let n(h) = 11*f(h) - 6*l(h). Let s be n(-1). Solve -5 = -4*i + s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -36\/41, 3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of 0*m**3 + 0*m + 1\/2*m**2 + 5 - 11\/4*m**4. Let a(s) = -s**2 - 2*s + 2. Let k be a(-3). Determine i(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/(sqrt(10) - (2*sqrt(30))\/sqrt(3)))\/(2*sqrt(196)*1).\nAnswer: -sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, y: 5, u: 7, w: 1, q: 1, p: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 288 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*i**2 + 0*i**2 - 2*i**2)*(10 + 3 + 0) + (-2 + 3 - 2)*(10 - 10 - 3*i**2).\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 - (1 - 2)*29. Let h be (-6)\/(-21) + 6\/(-21). Suppose h = 5*l + j - s, -3*j + 5 - 22 = -4*l. Solve l = -6*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (2 + -1) - (-7 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*1*((-3690)\/48)\/((-1200)\/320).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 5*r - 60, 2*k + r = -k - 20. Let b = 10 + k. Suppose -4*x + 78 = -b*x. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 550 and 29861425.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - f**2 + 9*f + 5. List the prime factors of l(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-39*b**3 + 404 - 404)*(2 - 2 - 4*b) in the form n*b + g + w*b**3 + v*b**4 + f*b**2 and give v.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4415124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 19*g**2 + 19*g - 19. Determine k(20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 94*q - 26. Suppose -y - 2 = 0, -5*v + 33 = 2*y + 7. Is j(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -3*t. Suppose -2*b - 1 = -3*b. Let q be b\/(-4)*(-76)\/(-19). List the prime factors of z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96077627 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 16054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1544497871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 69 = 3*g - 55, -3*z + 2*g = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 46 - 31. Let r be ((-60)\/(-6))\/(268\/201 + 4\/6). Solve 4*m + 3*t - 14 = 0, r*m + 3*t - 34 = -f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3253620.\nAnswer: 2, 3, 5, 211, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 - (3 + (-3)\/2). Suppose -371 = -11*m + 64*m. Which is the fourth smallest value? (a) x (b) m (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vzvv. Give prob of sequence vvz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9873.71952036 - 0.09747964. Let m = 9903 + r. Let f = m + -29.3. What is f rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gev when three letters picked without replacement from {e: 2, t: 1, v: 1, g: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 AM and 3:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -111021020012 (base 3) to base 15\nAnswer: -5259e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 + 11*a**2 + 24*a - 64. Calculate v(11).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1263\/6838 + 2\/263. Let h = y + 1\/130. Find the common denominator of -17\/7 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 - 52*k - 694. What is i(-25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 7*y**2 - 6*y + 4. Let w = -15 - -20. Let p be r(w). Solve -2*d - 6*x = -x + 7, 0 = -3*d + 4*x + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -46, -179, -398, -703?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-20))\/(((-24)\/(-2))\/6).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1746864 and 36?\nAnswer: 1746864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/(57\/18))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23578.8 - 23579. Sort 0.6, -3.3, q in descending order.\nAnswer: 0.6, q, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 555 by 366.\nAnswer: 185\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1879 is divided by 1871.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 - -46. Let g be 24\/4 - (0 - -1). Suppose 5*z = -g*v + 115, 0 = 7*z - 2*z - 25. Calculate the remainder when v is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-136)\/(-51)*(-657)\/(-6). Let b = n - -687. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15)\/10*-2*1. Let d be -5*(4\/(-1) + y). Solve f - 6*f = -d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68)\/sqrt(4)*-1*-2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(567)*1 - sqrt(567)) - (-2 + -1 + sqrt(567) - sqrt(567))) + (sqrt(567) - sqrt(567)*1*2 - sqrt(567)) + 0)**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -36.0955 + -10714965.\nAnswer: -10715001.0955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of 877 and 13.45033941.\nAnswer: 890.45033941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/378 and (-228)\/(-19)*(-50)\/171 - -3.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 718273 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -2 - 1. Suppose -j = -2*g - 5. Calculate the least common multiple of 14 and 3\/6*(g - -21).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/218832959 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28) + (sqrt(28) - (sqrt(196)*-2)\/sqrt(7)))\/(-5*(sqrt(4) - 2*sqrt(4))).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4 and 334176.\nAnswer: 334176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(-21) - 8\/(-14). Let x(f) = 3*f**2 - 21*f + 45. Suppose 7*o = 126 - 105. Let v(a) = -a + 1. Let n(l) = k*x(l) + o*v(l). Let n(s) = 0. Calculate s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of n**6\/3 + 43*n**5\/10 + 39*n**4\/2 + 27*n**3 - 54*n**2 - 162*n. Factor q(v).\nAnswer: 2*(v + 3)**3*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 705547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 + 0)*(-2 + 2 + i + (-2 + i + 2)*(-4 + 3 + 3) + 0*i + 2*i - 3*i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x + 28 + 77. Let o = x - 13. Suppose l - 3 - o = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8457.038 decades to millennia.\nAnswer: 84.57038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1*8\/(-3) + (1 - -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/789624 and -59\/10.\nAnswer: 3948120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 922 + -1007 - (-8 + 12 + -26 + 1)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (0 + sqrt(612) - -5*(sqrt(17)*-2 - sqrt(17))) + 0)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18.2 + -18. Let q = -1.6 - -4.5. Let w = q - 3. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 111 + 45. Suppose 0 = -2*a - 2*a - i. Let h = a + 61. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1285000 rounded to the nearest 10000?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1289 - -1419. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of o**5\/160 + 5*o**4\/96 + o**3\/6 + o**2\/4 - 8*o - 4. Factor u(b).\nAnswer: (b + 1)*(b + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3125 and 62?\nAnswer: 193750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, 8\/101, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -39, -210, -515, -954?\n\"Answer: -67*r**2 + 30*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -1\/320960 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*a - 4*x + 8, 0 = -2*a - 5*x + 12. Let j(b) = -4. Let k(y) = y + 44. Let n(u) = -45*u**2 + 2*u - 1. Let w be n(1). What is a*k(i) + w*j(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 523252 and 1047532?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 126 = -5*x + 802, -140 = -x + 2*g. Calculate the highest common factor of 1540 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4\/497 or 0?\nAnswer: 4\/497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -4. Let r be -2 + (-3 - (-20 - k)). Calculate the greatest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28115693083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -601097\/165 + 3643. Which is the third biggest value? (a) 1 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 7*p**2 + 6*p + 8. Let z be d(-6). Let o = 11 - z. Suppose 4*s = 2*t + 34, -s - t + 19 = 2*t. Calculate the remainder when s is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1fccfa (base 16) to base 13.\nAnswer: -57c7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2*(sqrt(19) - sqrt(133)\/sqrt(7)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ikki. Give prob of picking 2 k and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -153.12 + 153. Let r = l - 0.18. Let o = 0.05 - 5.05. Which is bigger: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (0 + 2 + -3 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13836?\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f**2*x**2 - f**2*x - 2*f**2 - f - 1487*x**2 - 3*x wrt x.\nAnswer: -4*f**2 - 2974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the third derivative of 0*c**4 + 6*c**2 - 37\/6*c**3 + 0*c**5 - 8*c + 2\/105*c**7 + 0 + 0*c**6. What is the first derivative of u(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 4 = -19. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22472.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*k**3 - 22*k + 22*k + 115*k**3 + 34*k**3 - 187*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 6*y**2 + 342*y + 3. Give c(-9).\nAnswer: -2589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2349, 2403, 2409, 2343, 2181, 1899, 1473?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 62 + 26. What is the common denominator of (u\/256)\/((-3)\/4) and 107\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -160 = -174*r + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 63, 269, 873, 2103, 4187?\n\"Answer: 38*n**3 - 29*n**2 + 27*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.7 + 3.7. Let w = -16.6 + 18.6. Which is the closest to 0? (a) -3\/5 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 63 and 846.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-224)\/1904)\/((-18)\/(-27)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2756 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s. Let i(w) be the first derivative of 2 + 0*w + 0*w**2 + 2\/3*w**3. Give i(z(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q**3 + 4*q**3 - q**3)*(2 - 2 + 1)*(-3*q - q + 3*q)*(3 + 32 - 17).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 12636825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 28520617 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-21)\/35 + 51\/(-15). Let j be (1 - -6)*t\/(-1). Let a = -26 + j. Solve -a*w = -w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 13 + 5)*(-8*t + 10*t + 14 + 0)*(3 - 4 - 2).\nAnswer: 18*t + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 20, -3601, -5, 5 in increasing order.\nAnswer: -3601, -5, -1, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 48 + -46. Solve 0 = -2*g - 3*r - 2 + 4, -r = -2*g + w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.48 - -0.29. Let m = 0.09 + y. Sort 0.5, -1, m in decreasing order.\nAnswer: 0.5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 132957708.\nAnswer: 2, 3, 13, 53, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 57*l**2 - 3*l + 4. Let t be w(1). Let g = -52 + t. Calculate the lowest common multiple of g and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 AM and 8:27 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (1170\/(-1430))\/((-4)\/176)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*g - o, g + 3*o + 2 = -1. What is the remainder when (-4)\/(-8) + 81\/2 is divided by (-1 - 32)*-2*g\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*u - 10*u + 35*u - 2 + 2 - 2*u + (-2 + 0 + 4)*(2*u - 4*u + 4*u).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 take away 1551.6?\nAnswer: -1551.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/25*30\/3. Let a(l) be the second derivative of 1\/4*l**5 + 0*l**3 + 1\/12*l**i + 0 + 6*l + 0*l**2. What is the third derivative of a(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 119054812?\nAnswer: 2, 29763703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -49 or 4?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**4\/5 + 89387061*v**3\/5 + 804483387*v**2\/5 + 2413449999*v\/5 + 2413449918\/5.\nAnswer: 3*(v + 3)**3*(v + 29795678)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48360*o - 241791*o + 48359*o + 48359*o + 48358*o + 48358*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -1 + 2 + -2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of u**8\/1344 - u**7\/7560 - u**6\/1080 - u**4\/2 + 3*u. Let j(c) be the third derivative of a(c). Factor j(r).\nAnswer: r*(3*r + 1)*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 79*y + 81*y - 10020 = 0, -4*x - 3*y - 10000 = 0. Let m = -1569 - x. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 60, 389, 1358, 3315, 6608, 11585, 18594, 27983?\n\"Answer: 58*i**3 - 28*i**2 + 7*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.16 and -0.29?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wlw when three letters picked without replacement from lnwwq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -74\/5? (a) -1 (b) -1\/4 (c) -0.3 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 102 divided by 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 5, b: 13, x: 2}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 PM and 3:51 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 11962.1 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13 + 1110?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/485 and -13\/679.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, 435, 862, 1289, 1716, 2143?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103635 divided by -11515.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.649 + -1.351. Let t(u) = -u**3 + 8*u**2 - 6*u - 10. Let n be t(7). What is the biggest value in n, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*q - 21 = 219. What is the highest common factor of 156 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the second derivative of -x**7\/1050 - x**6\/300 + x**4\/60 + x**3\/30 - 3*x**2\/2 + x. Let b(r) be the first derivative of y(r). Factor b(v).\nAnswer: -(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 3*k - 2 = 7, b = -k + 5. Suppose 14 = 3*u + 8. Calculate the least common multiple of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3330893817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 8*a**3 - 19*a**2 + 4*a + 25. Let n(u) = -22*u**3 + 57*u**2 - 11*u - 72. Let s(z) = 17*f(z) + 6*n(z). Calculate s(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, h: 2, c: 5, s: 1, r: 7}. Give prob of sequence hc.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 25*f**2 - f + 417 wrt f?\nAnswer: 50*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1013 + 1013 - o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkvvvnvininvivvv. What is prob of picking 3 k?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*a**2 - 150*a + 150*a - 52*a**2 + 72 - 72.\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 10, w - 2*q + 2 = 5*w. Let y(z) = -5*z - 7. Let s be y(w). Let c(r) = -r + 1. Calculate c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4775\/7 + -681. Let t be (98\/4)\/(1*1\/(-2)). Let i = t - -49. Are k and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 0*t = 0. Suppose 3*r + 0*r = 6. Suppose 0 = -2*k + 2*n - 6, 3*k + r*n - 14 = k. Solve k*u + 3*l = 4*u - 3, t = -2*l - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66372491, -132744980, -199117469, -265489958?\nAnswer: -331862447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*y - 40 = -2*h - 90*y, -4*h + y = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8406792 and 6340716?\nAnswer: 748204488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 35 - -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-4))\/((-4)\/(-24)). Suppose 4*s + h*s - 287 = 0. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*r = -13*r + 3*b - 43, 0 = 5*r + 3*b - 85. Suppose r*g = 29*g - 765. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136)\/sqrt(8) + -3)**2 + 0.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is f in 3*f**3 - 7776*f**2 + 4764060*f + 360855600 = 0?\nAnswer: -68, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 188\/609 - 2\/87. What is the smallest value in 1, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 10:12 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1861883756.\nAnswer: 2, 47, 151, 65587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15705875 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -19, 1, 51, 0.\nAnswer: -19, 0, 1, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-18)\/((-11)\/110*(-2)\/1). Let a = g - -200. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = v - 20. Suppose -5*d - 3*w = -55, d - 4*w + v + 8 = 0. What is the least common multiple of 14 and d\/(-44) + 68\/11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 + 3. Suppose 50*t - 52*t = -3*q - 22, -3*t + q = -19. Suppose 0 = 5*h - z - 9 - 5, -c = h + t*z. Solve -h*r = r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 317*c**3 + 2226*c**2 + 4131*c + 26.\nAnswer: 1902*c + 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1389*o**5 + 6*o**4 + o**3 - o**2 - 408*o + 38 wrt o?\nAnswer: -83340*o**2 + 144*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 - 54\/4*1\/6. Let l(b) be the second derivative of -1\/2*b**2 + 0 + r*b**4 - 1\/6*b**3 - 8*b. Determine l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, g: 1, m: 4, f: 1, y: 1}. What is prob of picking 1 y, 1 m, and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 3146479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -m**5\/3 - 2706*m**4 - 5480994*m**3 + 131893124*m**2\/3 - 115507027*m + 99047814 = 0.\nAnswer: -4063, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34019 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 3*j**4 + 4329*j**3 - 9*j**2 - 12993*j - 8658 = 0.\nAnswer: -1443, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 14091300 to the nearest 10000.\nAnswer: 14090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-8) - 865\/(-20). Suppose -3*h - o = -136. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12919933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -13*o**2 + 3*o + 18. Let s = 43 + -40. Let q(v) = v**2 - v. Let l(y) = s*q(y) + p(y). Find the first derivative of l(n) wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9446 is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (21 + -6)*25\/(-18). Let y = 2893\/138 + z. Is y greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (26\/4 - 6)\/((-2)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9743390 is divided by 51281.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/898 and 17\/20.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 140 = 4*k, -2*a - 2*k + 6*k = -60. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0526 and -43.24.\nAnswer: 2.274424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nxln when four letters picked without replacement from {x: 3, l: 3, n: 7}.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 20, -0.35, 1?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6 - 390\/(-54)) + -1. Let n = 122\/33 - 48\/11. What is the nearest to n in 4\/3, a, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 905 + -902. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -4*b - 4308, 432 = 2*b + 436. What is the highest common divisor of 260 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1055043874?\nAnswer: 2, 47, 11223871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1663\/430 - -139\/43. Calculate the common denominator of ((-6)\/9)\/(64\/234) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -145\/9498 and -125\/24.\nAnswer: 37992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 48 divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**4 - n. Let r(x) = -6*x**4 + 3*x**3 - 3*x. Let c(k) = r(k) - 3*t(k). Suppose c(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 73, 167, 291, 445?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of 17*q**8\/336 + 7*q**4\/4 + 21*q**2 - 4. Let f(b) be the second derivative of z(b). Find the second derivative of f(l) wrt l.\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 379 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 17507509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 183 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -16267, 60 in decreasing order.\nAnswer: 60, 7, -16267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4581 divided by -1527.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - (14 + (-346)\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 5 + 16*b + 13*b - 31*b. Let v be a(4). Sort v, -7, -1 in decreasing order.\nAnswer: -1, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 167? (a) -2\/17 (b) 9.1 (c) 0.1 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/1488 and -41\/83328?\nAnswer: 83328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -7*i**2. Let r(n) = -36*n**2. Let g = -479 + 639. Suppose 159*f - g*f - 4 = 0. Give f*r(c) + 21*k(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 3*g**2 + 4*g + 5. Let q(l) = l**2 + l + 1. Determine -k(i) + 2*q(i).\nAnswer: -i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of -n**10\/630 + n**6\/40 + n**3\/6 - 11*n**2. Let l(r) be the first derivative of o(r). Find the third derivative of l(s) wrt s.\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4345\/4693 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-81)*18\/48*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-693)\/132)\/(-3*2\/8). Solve 0 = -k*n - 0 + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 6712.39823 and 25.\nAnswer: 6737.39823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3e96 (base 16) in base 7?\nAnswer: 64466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 - 2*c. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j**2 - 18996*j + 30070668 = 0.\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -1844*q**2 - 4*q - 272. Let j be g(-59). Round j to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*q**4 + 83*q**5 - 2*q**3 + 2*q**3 + 44*q**2 + 246*q**2 + 3*q - 11*q**2 wrt q?\nAnswer: 4980*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 + -4. Let h = -2\/89 + 1709\/801. Find the common denominator of h and (54\/25)\/(q\/10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 + 9*k - 1. Let i(j) = 11*j**2 - 45*j + 5. Let u(q) = 3*i(q) + 15*o(q). Let b(d) = -149*d. What is b(u(l))?\nAnswer: -2682*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1169579.048 rounded to the nearest one hundred?\nAnswer: 1169600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 150 divide 1198783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {t: 1, p: 4, m: 7, i: 1, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1*(-8)\/(-12) - -3)*34\/(-6). Which is smaller: s or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*42\/(-6)*(-8)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 43 + (17 + -42 - -27)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, -2\/7, -0.4, 8, -1\/4 in descending order.\nAnswer: 8, -1\/6, -1\/4, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-11) + 444\/(-22). Let a be -4*5*(-2)\/s. What is the closest to a in -0.4, 0.02, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**2 - 21*u + 25. What is d(-21)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g**(-5\/7)*g**(-13)*g)\/((g\/(g\/(g*g**(3\/4))))\/(g**(-10\/3)*g)))**14 assuming g is positive.\nAnswer: g**(-1243\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(272) + -2*(sqrt(272) + (sqrt(272) - sqrt(272)*2)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, -3, -1, 575 in increasing order.\nAnswer: -3, -1, 2, 4, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*x = -48*x + 301 - 1129 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 7:51 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 + 11*h - 12. Let v be w(11). What is the units digit of ((-200)\/v)\/5*(7 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1032 (base 10) in base 9?\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.2253 - 4.531.\nAnswer: -1.3057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -5*r**3 - 2053180*r**2 + 12319235*r - 10266050 = 0.\nAnswer: -410642, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in -2\/5, -74, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 4*j**3 + 3*j**2 + 33. Let l(x) = 10*x**3 + 7*x**2 + 66. Determine -7*c(k) + 3*l(k).\nAnswer: 2*k**3 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*i + i + o, i + 26*o = -12 + 115 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -2*r + 2*l - 4774, 2*l - 11920 = 5*r. What is the common denominator of (-9)\/(-6 + 3) + 200\/15 and 4\/18 - r\/(-108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 6 - 8. Let q(b) = 3*b + 59*b**2 + 0 - h - b**2. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y - y + 2*y)*(-16*y - 26 + 51 - 23).\nAnswer: 32*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11.7 + -12. Let g = c + -0.2. Let k = 3.29 + -5.29. What is the smallest value in g, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 727367 is divided by 145473.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115408 = -440*u + 424*u. Calculate the remainder when u is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1181*g = -1175*g - 48. Is g < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 121\/336 and 13\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the first derivative of -7*m**2\/2 + 15*m + 9. Let d(g) = -3*g + 7. Let r(p) = 5*d(p) - 2*j(p). Give r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 28 (base 16) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes before 7:24 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sqgsssspqggpqps. What is prob of picking 1 g, 1 p, 1 q, and 1 s?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be 11916\/(-30) + 2\/(-5). Let y = -12383\/30 - i. What is the common denominator of -4\/9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 67 and 656.\nAnswer: 43952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 4*c + 41, 3*c = -d + 15 - 3. Sort d, -0.048, 2\/9, -0.5, -5 in decreasing order.\nAnswer: d, 2\/9, -0.048, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 34\/69, 5, -3\/5 in descending order.\nAnswer: 5, 34\/69, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17569.\nAnswer: 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 9\/14, -211, -0.116, 1\/2?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3289*o**2 + 2*o + 104.\nAnswer: 6578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.019 + -0.081. Which is the closest to s? (a) -4 (b) 1\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -26982 (b) -4 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 3*i**2 + 4*i - 5. Let s(c) = 4*c - 3 + 0 - 2*c**2 - 2*c. Let p(z) = -10*s(z) + 6*v(z). Solve p(r) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 + 13*u - 16. Calculate y(-22).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -635*t + 22740*t - 7611*t to b + o*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 50 - 30 = 0. Let s be (-155)\/25 - -6 - (-102)\/t. Let j be 8\/5*-41 + (-4)\/s. Is j bigger than -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(2 + sqrt(612) + 1 + (sqrt(612) + 5*(0 + sqrt(612)) - sqrt(612)) + sqrt(612)))**2 + -5)*-2.\nAnswer: -539936 - 4536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z**2 - 96*z + 101. Calculate k(47).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 take away 9.253?\nAnswer: -8.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 5, -9, -18, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is j in 421*j + 279*j + 2*j**2 + 298*j + 934*j + 466578 = 0?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 182 - -195. List the prime factors of i.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 263 and 186467.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 1058*a**2. Let q(v) = 4*v. Calculate q(s(i)).\nAnswer: 4232*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15146*i**2*l*n**2 - i**2*l*n - i**2*l + 15*i*l*n + 113*i*n - 2*l*n wrt n?\nAnswer: 30292*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3944 - 1650. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqsssss. Give prob of sequence ss.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-1 - 0) + 278\/(-24) and (-72)\/(-384)*1416\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 AM and 5:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/68972 and 18\/16949869.\nAnswer: 67799476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -13, 0.03, 16.772, 0, 40?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 3\/7 (d) -108\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*k + 110 - 70 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.038643 to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/3, -3, -6\/7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2261 is divided by 1103.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -75282 divided by 3\nAnswer: -25094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 + -12. Suppose -x - a = -2*x. Calculate the remainder when 33 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 4. Let d(n) = n + 38. Let j = 11870 + -11857. Calculate the remainder when d(z) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -10, -48, -110, -196, -306, -440, -598?\n\"Answer: -12*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9511\/2 + -28535\/6. Which is the second smallest value? (a) -93.9 (b) -1\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x**(-10)*x))\/(x**(-1\/17)*x)*x**(-5)\/(x*(x**(-5)\/x*x)\/x) assuming x is positive.\nAnswer: x**(154\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*p - 3*s + 2*s, -16 = -4*p + 5*s. Suppose 0 = -p*j - 2*j. Which is greater: j or -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1012089 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 267223 - 267223 + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.0268 - 0.026795362. What is m rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - (5 - (-12 + 4 + 5))) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1256156*q + 628111*q + 628076*q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -64*l**3 + 9*l - 26218.\nAnswer: -192*l**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - p - 141 = z, -5*p = 20. Let h = z - -145. What is the smallest common multiple of 2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -5 + 2*k**3 - 4*k**3 + 6*k**2 + 3*k**3 + 3*k. What are the prime factors of m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9109 + 12637 = 98*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22700234 is divided by 7195.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -181\/4 + 45. Let g = 1102 - 146567\/133. Is g > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 - 9\/3) + -2. Let w be c\/(-4) - 87\/12. What is the units digit of (15 - w) + (-4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -104300000 to the nearest one million.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 24 = -4*f. Suppose 4*d = -5*i - 27, d + f*i + 0*i = -15. Let h be (0 + (d - -3))\/1. Which is bigger: -27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 - 7*q**2 - 8*q + 1. What is a(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 18*q**3 + 1313*q**2 - 72*q + 165. What is t(-73)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 139*q**2 + 155*q**2 - 299*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 896*d**2*j**3 - d**2 + 2*d*j + 35*d - 794*j**4 + 9*j**2 + j + 3 wrt j.\nAnswer: 5376*d**2 - 19056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 9 + 11. Suppose 32 = v*p + 4*n, 26 = 3*p - p + 4*n. Find the second derivative of 2*x**2 - p - 2*x + 3 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -5*i + 24. Suppose -10*x - 168 = 18*x. Let b be j(x). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 2)*(-3 + 1 + 1)*(6*o - 2*o + 13*o) + (-5*o - o + 5*o + 0*o - 3*o + 4*o + (6*o - 3*o - 4*o)*(1 + 2 - 1))*(2 - 8 + 0).\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, 5, -117 in descending order.\nAnswer: 5, 4, 2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {o: 1, j: 7, x: 4, d: 4, a: 4}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 13*y**2 + 6*y - 27. Let s(v) = -36*v**2 - 16*v + 72. Let k(h) = -3*s(h) - 8*z(h). Let o(d) = 1260*d. What is k(o(a))?\nAnswer: 6350400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6 - 0)*(120\/(-16) - -8). Solve -i + 3*g - 9 = -29, 5*g + 10 = -h*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1652244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-206 - 171 + 405)*(7*s**2 - 7*s**2 + 3*s**4) in the form o + a*s**3 + m*s**4 + p*s + u*s**2 and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 141 - 11*u - 106 - 84. Determine n(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 43 - 21. Let z = o - 22.475. Let h = z - -0.5. What is h rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(17) + -3 + (2 + sqrt(153) - sqrt(17)))**2 - ((sqrt(272))**2 + 4 + (sqrt(17) + 0)*2)) + 3.\nAnswer: -116 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -476231 by 5.\nAnswer: -476231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 21830697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 495 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of k**7\/56 - k**6\/8 + 21*k**5\/80 - 3*k**4\/16 + 28*k. Factor t(x).\nAnswer: 3*x**2*(x - 3)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2295.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.9 in -2, -2\/19, -0.6, 2\/7, 3320?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -2*h - 99. Let r(v) = -2*v - 90. Let p(w) = -5*m(w) + 4*r(w). Let z(y) = y**2. What is z(p(j))?\nAnswer: 4*j**2 + 540*j + 18225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 - 2 - -3 - -2. Suppose -4*s + 49 - 9 = 0. Solve 3*h - f*h - c = 4, 3*h - 2*c = s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s - 2*s + 44. Let f = s - 16. Suppose 24 = 5*r - f. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.54 + 0.24. Let a = 0.2 - 0.3. What is the closest to a in g, 5, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3390803, -3, 4.\nAnswer: -3, 4, 3390803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/1125 and -64\/27.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -11*l - 1. Let t be s(-5). Suppose h + 5*a - 5 = 0, h - 2*h + 3*a - 3 = 0. Let k = 36 - h. What is the highest common divisor of k and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -3, 10, 31, 60?\n\"Answer: 4*a**2 + a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -22157*g**3 + 3*g**2 + g + 9. Let x = 12 + -19. Let w be j(x). What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mp when two letters picked without replacement from {d: 1, a: 2, m: 4, u: 4, p: 2, w: 6}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 127743361*y**2 + 411265116*y?\nAnswer: 255486722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/15*(-10)\/15. Which is the nearest to 0.2? (a) t (b) 7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 33 + -20. Suppose 3 = -2*x + v, -2*x = -5*d + 245. What is the remainder when d\/4 - 2\/(-8) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 26 + -15. Let x be 6\/(-33) - (-68)\/d. List the prime factors of x*(-1)\/(-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21212434 (base 6) in base 15?\nAnswer: -c4d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 51.5509 rounded to 1 decimal place?\nAnswer: 51.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.0193 and -0.5?\nAnswer: 0.00965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of -7\/2*c**3 - 15\/8*c**4 - 9\/4*c**2 - 3\/10*c**5 + 0*c - 16. Factor n(z).\nAnswer: -3*z*(z + 1)**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37297712 is divided by 1146.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k - 3. Let h be l(-4). Let a = h - -2. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**3\/11 + 4784*q**2\/11 + 20434198*q\/11 + 1288919244.\nAnswer: -2*(q - 4818)*(q + 1213)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003165776 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) 4.7 (c) -2\/151 (d) 12 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1881645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31177519 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1400) + (sqrt(1400) - (sqrt(1400) + sqrt(1400)*-2*-6)))\/(sqrt(800)*-1*2).\nAnswer: 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the first derivative of -5\/24*b**4 - 3\/2*b**2 + 1\/3*b**3 + 1\/15*b**5 + 0*b - 1\/120*b**6 + 3. Let q(d) be the second derivative of m(d). Factor q(n).\nAnswer: -(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.63 in -7, -0.6, 1, 1\/3, 0.11, -4\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 37761 - 8000. Is 7 + 217\/(-35) - g\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 93, 105, 131, 177, 249, 353, 495, 681?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*y - 6 = -9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -31971258 rounded to the nearest 10000?\nAnswer: -31970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 296259, 296268, 296277, 296286, 296295, 296304?\nAnswer: 296313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 5. Suppose g - 1 = -5*c, -g + c + c + 36 = 0. Calculate the remainder when g is divided by 14 - v - (1 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 9:56 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 28164075859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 1) + 21 + 10 + -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 111597962 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: What is the value of 1\/(-3) + (-49)\/147 - (-23)\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13*(-17)\/221*(-2)\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10785 and 20?\nAnswer: 43140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11418, -11469, -11510, -11535, -11538, -11513, -11454, -11355?\nAnswer: -11210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 + 26. Calculate the highest common factor of 110 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1033240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 56 = 4*c, 2 = -k + 4*c + 19. Let d = -5 + 4. List the prime factors of (-1)\/((d\/k)\/1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 - 8)\/(-5) + (26 - -2). Suppose 3*a = -o + 35. Suppose v - 9*s + 13*s = 75, -a*v + 2*s = -140. What is the remainder when v is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -53.5173 + 17.2494. Let r = v + 36.1. Round r to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 146*v - 242 + 1118. Which is the nearest to v? (a) -1.2 (b) 3\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -58 + 62. Suppose 0 = f, 21 = t*m - f - 19. Let n(r) = 2*r. What is the least common multiple of m and n(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46 and 91520818?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(484) - -3*4*sqrt(484)) + sqrt(484)))\/(-6*sqrt(288)*6*-5).\nAnswer: -77*sqrt(2)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 0.937 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0097159273 take away -0.2?\nAnswer: 0.1902840727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (92 + -96 + 9 - (-16)\/(-3))\/((-6)\/(-14))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:13 PM and 1:54 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99 - 42 = -64*i + 115. Suppose 4*w = -37 + 1. Put i, 5, w in increasing order.\nAnswer: w, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 13256.75 from -0.2.\nAnswer: -13256.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-seven fifths of a meter in centimeters?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-14)\/t*t*t)**(2\/19) assuming t is positive.\nAnswer: t**(-26\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11 and (120\/(-18))\/(6\/(-27))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8\/17 + 23\/85. What is the smallest value in 2\/13, 0.4, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 866612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1109 is divided by 5*(3\/5)\/((-24)\/(-296)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 6 - 7 + 35*c**3 - 4*c - 2*c - 5 - 34*c**3 + 4*c**2. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -41 - -24. Suppose 5*v + 194 = -4*z, -4*v - 180 = -2*z - z. Let t = c - v. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand z**2 + 0*z + 0*z - 2*z**2 + 0 + 0 + (-1 + 1 - 2*z)*(-5*z + 2*z + z) - z - z**2 + z + 0 + 2*z**2 + 0 + z**2 + z**2 - z**2 + 20*z**2 - 8 + 8.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -65 - -64. Is z > 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, 284, -2, 4 in increasing order.\nAnswer: -2, 2, 4, 5, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 456859, 913719, 1370579, 1827439, 2284299, 2741159?\nAnswer: 3198019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**4*q**19*q*q*q\/(q**(1\/22)*q)*(q\/((q*(q*q\/q**(-17))\/q)\/q))\/q assuming q is positive.\nAnswer: q**(153\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000356 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, s: 4, f: 9}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2238 = -2*n + n, 0 = 3*j + 3*n - 1686. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*h + 7 + 9. Let v(i) be the third derivative of 0*i**6 + 1\/6*i**3 + 0*i**4 + 0 + 2*i**h + 0*i**5 + 1\/210*i**7 + 0*i. Differentiate v(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, 2\/3, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 + a**2 + a - 1. Let g(p) = -2*p**3 + p**2 + p - 1. Suppose 3 = -5*s + 6*s. Calculate s*r(z) - 3*g(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - ((-676)\/(-975))\/((-5)\/(-100))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -178 or -21183?\nAnswer: -21183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(204)\/(2*sqrt(12)) + (sqrt(17) - sqrt(68)\/sqrt(4)) + -4.\nAnswer: -4 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-3))\/((-35)\/20). Let m = 6.3 - 0.3. Let r = 5.9 - m. Which is the third biggest value? (a) v (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 - 2*k**2 - 4*k - 4. Let r be y(4). List the prime factors of 57\/9 - 4\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**3 - 38*i**2 - 98*i - 939. Let n be j(-36). Which is the biggest value? (a) n (b) -7\/73 (c) -1\/10 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 469*d - 12833 = 24218 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 + t - 1. Let f(y) = 14*y**2 + 14*y + 2. Let i(a) = -f(a) - 2*n(a). What is the second derivative of i(o) wrt o?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 5923 and 5923 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -902 - -904. Let p(i) be the third derivative of -2\/21*i**3 - 3\/28*i**4 - 1\/140*i**6 + 0 - 7*i**y + 0*i - 1\/21*i**5. Suppose p(u) = 0. What is u?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + c + c)*(c - c + 2*c**3) + 3*c**4 + 8103 + 8298 - 16238 + 12*c.\nAnswer: c**4 + 12*c + 163","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of -j**5\/60 - j**3\/2 - 16*j**2. Calculate d(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18785 is divided by 82.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 207569319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -2 - (-110 - -164 - (-2 - -41)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 4907233?\nAnswer: -9814466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.2 and 0.19148.\nAnswer: 0.39148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1437\/4 or 360?\nAnswer: 1437\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 16) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 234\/(-130)*-1*15\/36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -92 - -99. Let u be (16\/(-5))\/((-3)\/15). Let d be (84\/8)\/(6\/u). What is the greatest common factor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3\/3 + 59545*f**2\/3 - 295059941*f - 12130845603.\nAnswer: -(f - 29793)**2*(f + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -7.8 (b) 4 (c) 2\/5 (d) -5 (e) -8 (f) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 2*n - 55. Let b = 10 + n. Let f = 37 - b. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 912 - 32. What is the second biggest value in 0.2, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252*l - 7 = 259*l. Which is the nearest to 3\/5? (a) -1\/3 (b) -0.2 (c) 2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.4, 13\/4, -20, -1, -406 in ascending order.\nAnswer: -406, -20, -3, -1, -0.4, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 670206462 and -17.1?\nAnswer: 670206479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 0*h - 21. Solve 4*n + h = 5*z - 4, 0 = -3*n - 4*z - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 962581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 12 = 0, 2*v - 13 = -3*y + 10. Let z(a) = -7*a. Calculate the remainder when z(-9) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -q - 4*q. Let a = -83 - q. What is a rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnlnlnnl. Give prob of sequence nnn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -l - 6*q - 58, 0 = 4*l - 15*q + 4*q + 6*q - 58 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 6225172 by 3112586.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -65 - -69. Let v(y) be the first derivative of -1\/12*y**6 + 0*y**h + 1\/5*y**5 - 1\/3*y**3 - 1 + 0*y + 1\/4*y**2. Factor v(l).\nAnswer: -l*(l - 1)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -71 + 124 + 28 - 29.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2628 + 3321. What is the remainder when u is divided by 233?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 18 - 18 - d + 12*d**4 + (3*d - d + 4*d)*(-3*d**2 + 5*d**2 - 3*d**2)*(0*d - d - d).\nAnswer: 24*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 4*n**2 + 4666*n + 51440. What is x(-11)?\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*z**5 - 2*z**4 + 3*z**4 - z**5.\nAnswer: -z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (14364\/(-5544))\/(7\/154)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvjjvjjjvvjjvvjjj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) + (sqrt(704) - ((sqrt(704)*-5*-3 - sqrt(704)) + sqrt(704) - sqrt(704)) - sqrt(704)))\/((sqrt(24)\/sqrt(2)*4)\/sqrt(3))*5.\nAnswer: -65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 544648 by -52.\nAnswer: -10474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -0.183?\nAnswer: -0.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 284149309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -333*n + 24 = -325*n. Solve 3*r = 2*w - 8, -5*w + n*r = 6*r + 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 12*d - 25. Let n be t(-4). Let b be (-1 + n\/(-2))*(11 - 17). Let y = b - -313. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72, 138, 198, 252?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6.15 - -1.15. Which is the nearest to h? (a) -5 (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3*h + 54 = -27, -2*m + 57 = h. Let i = m - 14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/(-12)*3\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 86106 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do -16\/7865 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 428337 is divided by 80?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 66*n**2 - 4*n - 56*n**2 - 16*n**2 - 7. Let y(v) = -v**2 - v - 1. Let o(u) = -u**3 - 5*u**2 + 4. Let x be o(-5). What is x*y(r) - z(r)?\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 911 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 80 = 5*y, t + 4*y - 2*y = 25. Let d be (21\/6)\/((-3)\/(-6)). Calculate the greatest common factor of d and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 - 4. Suppose -11*c = -i*c - 12. Suppose -2*m - 2*x = 3*m - 6, -2*x + 6 = 0. Solve -l - 4 = -2*q, -3*q = -m*q - c*l - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/(-40)*80\/60. Let n(v) = -v**2 + 4*v + 5. Let q = -4 + 9. Let f be n(q). Which is bigger: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 5*o - 2*o + 11, -o = -s + 2. Solve -o*a + 53 = 65 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110001010110110 - 101?\nAnswer: 1110001010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 100100001011 (base 2) to base 12.\nAnswer: 140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 6844, 33.\nAnswer: -7, 33, 6844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*t**2 + 76*t**2 - 164*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 2158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 3*sqrt(192) + sqrt(192).\nAnswer: -5 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -77*o**2\/3 + 51*o\/2 + 1\/6.\nAnswer: -(o - 1)*(154*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 48 = -w - 4*k, -34*w - 5*k + 240 = 300 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 7*b - 2*b)*(17 - 8 + 11).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, 1, 13, 25, 37?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -110a5 (base 11) to base 8\nAnswer: -37327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/42500 and -161\/1581000?\nAnswer: 7905000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/2*h**3 - 9\/2*h**2 + 1\/2*h**4 + 9\/2*h + 0 = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - (-4 + -2 + (4 - -1) + -2 - 11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -11*n**5\/20 - 11*n**3\/6 + 15*n - 9. Let i(o) be the first derivative of q(o). Find the second derivative of i(x) wrt x.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 + (2 - -7) + (-9 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 54, 0, 0.1 in decreasing order.\nAnswer: 54, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (334 - 110 + 220)*(0 - 2*m + 0) + 4*m - 2*m + 3*m.\nAnswer: -883*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-3))**(-3\/26) assuming w is positive.\nAnswer: w**(9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 10*a**2 - 6. Let i(m) be the first derivative of -10*m**3\/3 + 5*m - 36. Let g(n) = 5*f(n) + 6*i(n). Let z(y) = -4*y. Give z(g(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48 divided by -52.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 - 8*v**2 - v - 1. Let l be k(-8). Suppose 0 = l*j - 231 - 14. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 1365*y - 2290 + 315*y**2 - 3191*y**3 + 3186*y**3 + 615 = 0.\nAnswer: -5, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f. Let c(o) = -63*o. Let j(u) = -16*u. Let i(n) = -5*c(n) + 21*j(n). Calculate h(i(y)).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 7, e: 4, u: 7}. What is prob of picking 1 b and 1 e?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) -0.2 (c) 0 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 14492797 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.34 + -2.66. What is the smallest value in 2, c, -3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/63 and -38\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1836, 1786, 1738, 1692, 1648, 1606?\n\"Answer: k**2 - 53*k + 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in 1\/4, -2\/4551, 0.7, 1\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -50 + 13 + -21 - -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -3*t - 15, -4*u + t = -0*t - 11. Suppose 3*s + p - 140 = 0, -5*s = u*p - 30 - 203. Let v = 22 + -6. What is the remainder when s is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-250)\/(14*3\/284844). Round d to the nearest ten thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3 - 358*l**2 + 15840*l + 16200.\nAnswer: 2*(l - 90)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8445 divided by 1.\nAnswer: 8445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 329 - 317. Let x(a) = -a**2 + 10*a + 14. Determine x(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and 9095.\nAnswer: -45475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from nqcgffqffjnfff.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -884 + 824. What is the smallest value in 0.2, 0, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5885*h**2 + 1969*h**2 - 3076*h**2 + (2*h - h + h)*(0*h + 4*h - 3*h) - h**2 + 0*h**2 + 0*h**2.\nAnswer: -6991*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -28*u - 124. Let m be v(-5). Suppose -9*c + m = 7*c. Calculate the greatest common divisor of 32 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3991698 is divided by 2306.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 247 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5521a + -3?\nAnswer: 55217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 89164601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -11121000 rounded to the nearest one hundred thousand?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 327 + -328. Which is the nearest to o? (a) 0.3 (b) -2 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 25066*l + 100709. Determine v(-4).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of -3*y**3 - 39*y**2\/2 + 5443*y. Let u(w) = -2*w**2. Calculate i(u(t)).\nAnswer: 36*t**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1571 + -1570.021. Let p = a + -1. What is p rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 223 and -3*((-7)\/3 + 2)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*y + 18*y = -24*y + 162. Which is the closest to 1? (a) 0.5 (b) y (c) 4 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 199, 225, 263, 319, 399?\n\"Answer: b**3 + 19*b + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 404 divide 196531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-116 - -124)*(-1)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 - -6. Suppose -l + 13 = -2*u, l + u = 5*u + 23. What is the third biggest value in l, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l + 2 = 2*p, -3*l = 6*p + 25 + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4207*s = 7199*s - 119680 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y - y - 4*y**3 - 3*y - y**3.\nAnswer: -5*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*p**4*w - 2395*p**2*w**2 + 2*p*w + 2*w**2 + 317*w - 438 wrt p?\nAnswer: -8*p**3*w - 4790*p*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2881, 2663, 2081, 955, -895, -3649?\n\"Answer: -30*j**3 - 2*j**2 - 2*j + 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1341*a + 2359*a - 3 + 1474*a.\nAnswer: 5174*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*3*sqrt(95)*6)\/(sqrt(20)\/(sqrt(8)\/(sqrt(2)*1))))**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10172, -40718, -91640, -162932, -254588, -366602?\nAnswer: -498968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 143 or 287\/2?\nAnswer: 287\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 4*f - 8, 2*x + 6*f + 8 = 2*f. Suppose 3*k - 3 - 12 = x. Sort 0.1, 0.07, k in ascending order.\nAnswer: 0.07, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 493*f**3 + 116*f + 17*f**2 - 387*f + f**2 - 213*f - 540*f**3 wrt f.\nAnswer: -282*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 0.399 (b) -0.2 (c) 1\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -t**2*x**3 + 39*t**2*x - 154*t**2 + 2*x with respect to x.\nAnswer: -3*t**2*x**2 + 39*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*s**3 + 435*s**2 + 2745*s + 4185.\nAnswer: -5*(s - 93)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6363 - 5?\nAnswer: -6401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**5 + 60*p**4.\nAnswer: -5*p**4*(p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2003353475 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11515431 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3018076 or -9054232\/3?\nAnswer: -9054232\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 7671.893ml in litres?\nAnswer: 7.671893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8549928 to the nearest integer?\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/t**(-1\/8)*((((t**(2\/3)*t)\/t*t)\/t)\/t)\/t*t*t**(-4\/5)*t*t*(t*t*t**(-3)\/t)\/t assuming t is positive.\nAnswer: t**(-121\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 102 a factor of 51408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 354507 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 3*m + 18 = 0, 0 = 5*w - m + 4 + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 77717 divided by 10?\nAnswer: 77717\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -977 > -981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12792315.\nAnswer: 3, 5, 769, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 18, 4, 55 in descending order.\nAnswer: 55, 18, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 320216 and 17051502?\nAnswer: 68206008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19, -50, -107, -202, -347, -554, -835?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36 + 32 + 31 + (3 - 2 - 2)*(-2 + 1 + 0))*(2*o**2 + 1 - 1).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0719195 - -21903.589.\nAnswer: 21903.5170805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1210 and -10*(8 - 1\/((-30)\/(-245)))*42?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 106*y - 24 = -4*r + 101*y, 7*r - 2*y = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27 divided by -24219.\nAnswer: 1\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x + 5*n - 3 - 4, 5*x - n - 16 = 0. Suppose 5*i = 2 + x. Let a = 0.2 - -0.3. Sort -3, i, a.\nAnswer: -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3765367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/14 (b) 0.33556 (c) -0.958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 15 = -2*y + 5*n, 3*n + 9 = -y. Suppose 5 = -f - y. Let c be 1\/(-4) - f\/25. Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4 - 27*t**3 - 58*t**2.\nAnswer: t**2*(t - 29)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33\/(-44))\/((135\/75)\/((-96)\/(-100)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -1\/5, -5, 15600, -190?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 19*t**2 - 18*t - 32. Let l(f) = 8*f**2 - 8*f - 16. What is -2*b(y) + 5*l(y)?\nAnswer: 2*y**2 - 4*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00005958 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 120*d - 15. What are the prime factors of g(1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7965 = 726*v - 1021*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 778*y**3 + 3 - 3*y**2 - 769*y**3 - 3.\nAnswer: 9*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1, -7, -41, -115, -241, -431?\n\"Answer: -2*u**3 - 2*u**2 + 14*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1327752072 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5470121?\nAnswer: 97, 56393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f + 150 = f. Calculate the remainder when 58 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b + 8. Suppose 2*p + 28 = -2*p. Let g be x(p). Is g bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - t**2 - 2*t + 3. Let x be h(2). Suppose -3*j = -5*o + 8, 0 = 7*j - 3*j - o - 12. Solve x*i - 3*l + 24 = 0, j*l - 6 = -5*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 301 and 11051.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l + 14*l = -30. Let u = 15 - l. Suppose -2*k - 2*h = -7*k + 23, k + u*h = -17. Solve 5*j - k*f - 5 = 0, -4*f + 0*f = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(25)\/(sqrt(25)\/sqrt(5))*4)**2 - (sqrt(180)*1 + 5 + sqrt(15)\/sqrt(3) + -2).\nAnswer: -7*sqrt(5) + 1997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 0 + 2*x**2 - 20*x**3 - 2*x - 2*x + x - 1 - 1. Calculate the remainder when 78 is divided by w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-13 - (-583)\/44) + (-4)\/(288\/34)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00146614 rounded to five decimal places?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 u, and 2 e when four letters picked without replacement from {i: 1, e: 2, t: 2, u: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1042 = 303*r - 83*r - 49442. What is the remainder when r is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * -315605\nAnswer: 1578025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -183564, -183557, -183550, -183543, -183536, -183529?\nAnswer: -183522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3124549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 150860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3826 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2264141 - 1?\nAnswer: 2264140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-112)\/168)\/((-2)\/(-36)*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -16*-1*3\/(-6). Let v = x - -10. Let n(c) = -c**3 - c**2 + c + 22. Let t be n(0). Solve -5*b + v = t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -7*h**2 + 2*h + 2*h**3 - 7 - 5 + 2 - h**3. Let t be q(7). Suppose -k - 2*u = -122, 3*u = k + t*k - 545. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -34155.441 to the nearest ten.\nAnswer: -34160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 4 - 3*t + 13*t**2 - 3*t**2 - 9*t**2. Let j be u(2). Solve 0 = -2*n + j*z - 2, 0 = -2*n - 0*n - z + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.781947 nanometers?\nAnswer: 0.000000781947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 45\/2 of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 13 + 5. Let y(n) = n**2 + 6*n + 5. Let w be y(z). Let r = 20 - w. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13.6786126 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010010011111110000011 - 11?\nAnswer: 1010010011111110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 464 and 932611.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -78\/275 or 0?\nAnswer: -78\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 6:03 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 267\/2 in 0.2, 7, -0.39, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -64.9 - -64.91004. Round b to four dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 - 1)*(-v**2 + 2*v**2 + 0*v**2) + (-v - 1 + 1)*(2*v - 2*v + 2*v) + 137*v**2 - 139*v**2 - 10 + 2 - 4*v to f*v + w*v**2 + d and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**2\/2 + 3046218*n.\nAnswer: -3*n*(n - 2030812)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 913\/219 + 12\/73. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -278 = -2*f - 0*f. Suppose -4*y = -5*g - f, 39 = 3*y - 2*y + 3*g. Suppose -l - 31 = -4*t + 4*l, 0 = l + 3. What is the highest common factor of y and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -15*f, -s = -5*f - 1876 + 1873 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 546 is divided by 279.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7980 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - h + 108 = 0. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5187 + -5187. Suppose 2\/5*r**2 + k - 1\/5*r - 1\/5*r**3 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-57)\/(-6))\/((-2)\/(-4)). Let t = l + -31. Let x be 3\/t*1\/1. What is the nearest to x in 2\/11, -5, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -72133 - 102?\nAnswer: -72235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -2*h**2 - 42*h + 1. Let i(b) = 112*b**2 + 2480*b + 5. Let d(z) = -i(z) + 5*w(z). Find the second derivative of d(m) wrt m.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 351.3 times 5\nAnswer: 1756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -362100 by 24140.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11.1479 - -10.048. Let f = k - -1.1. What is f rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 162 + -109. Let l(j) = -j**3 + 100*j**2 - 110*j + 1098. Calculate the remainder when b is divided by l(99).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 680600 divided by 17015\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -152936.29 rounded to the nearest one hundred?\nAnswer: -152900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence na when two letters picked without replacement from {j: 1, n: 1, o: 1, a: 4, z: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/2*1\/(-6)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 81983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -0.069, -5, 0.5, -1\/2 in decreasing order.\nAnswer: 0.5, -0.069, -1\/2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(((sqrt(88)\/sqrt(2))\/sqrt(11) + sqrt(4))\/(4*1*sqrt(2)) + 5 + ((sqrt(288) + -4)*3 - sqrt(288)))**2.\nAnswer: -7497\/2 + 1029*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = u + p - 3*p, 5*p - 17 = u. Factor 0*j - 6\/11*j**4 + 0 + 8\/11*j**u - 2\/11*j**2.\nAnswer: -2*j**2*(j - 1)*(3*j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7da + 2?\nAnswer: 7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*v**3 - 25693*v**2 + 12841*v**2 + 12852*v**2.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -i - 5*j, -41*i = -43*i - 2*j - 2. Are i and -22\/685 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express k - 73 - 223 - 252 - 7*k + 255 as i*k + q and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 104*x. Let r(j) = 2*j**2. Calculate r(z(c)).\nAnswer: 21632*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2\/19 (c) -5 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 3*a + 2 = 0, 3*u + 3*a = 5*u - 14. Suppose 2 = 4*s - 14. Suppose -u*b + s*n - 4 = -12, 0 = -n. Solve b*j - 4 = -14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/76 and 0 - (-2)\/(8\/14) - 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 1347839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x + 20, 2*t + 0*x - x = 28. Let s be 2*2\/t + 4\/(-24). What is the smallest value in -4\/3, -0.5, s, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 7*u**3 - 3*u**2 - u + 2. Give p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 3.207*-5\nAnswer: -16.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1576450*h**3*s**3 - 21*h*s**2 - 5*h*s - 8678*s**3 - 2*s**2 + 1 wrt h.\nAnswer: 9458700*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2+196973\nAnswer: 196971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -3, 5*y + r = -0*r - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(30)\/sqrt(160) + sqrt(3) + 3.\nAnswer: 5*sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -248, -30, -2 in decreasing order.\nAnswer: 5, -2, -30, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 140205293 to the nearest integer?\nAnswer: 11841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 12:49 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-72))\/((-5)\/(50\/40)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/4)\/f*f)**(4\/11)\/(f\/f**(-2)*f*f*f**(2\/3)*f))**(-3\/2) assuming f is positive.\nAnswer: f**(217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - 33 - (-335 + 325) - 0 - 14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 93 = -c - 3*n, -4*c = 5*n - 127. Let b = 545 - 541. Solve 0 = -5*k - b*j - c, -5*j - 10 + 4 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 156*g**6 - 1385926*g**5 + 917028255*g**2 wrt g?\nAnswer: 18720*g**3 - 83155560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/(-2)*(56\/(-22) - -5) and -85\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 416 - 46 = 0. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 9*j + 4. Let a be o(9). Solve 0 = 3*h - z - 3*z + 24, a*z = h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7758 + 7758.2. Which is the closest to 2\/39? (a) -4 (b) n (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 42 = -3*w + 33, 0 = -4*r + 3*w + 9. Solve r = 7*n - 5 + 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0674241439 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express ((2 - 3 + 4)*(6*k + 7 - 7) - k + 0*k + 0*k)*(k**3 - k**3 + k**3) as d*k**2 + n*k**3 + u + z*k + s*k**4 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06773556354 to 6 dps.\nAnswer: 0.067736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1771, -3495, -5237, -6997, -8775?\nAnswer: -10571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + -1 + (-104 - -127) + -30 - 74?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*y + 6*y - 3*y)*(24*y + 9 + 27*y - 7) to the form g*y**2 + f*y + x and give g.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -164, -163, -274, -557, -1072?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**3 - 4*h**3 + 3*h**3)*(4 + 3 + 24)*(-2 - 35 - 16).\nAnswer: -3286*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 7*w + 13 - 2*w - 2*w. Let y be c(-4). Let x(v) = -v**2 + 3*v + 2. Let i be x(3). Solve s = i + y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 691442 - 691585 = 11*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -201122 (base 3) in base 8?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 + 79. Let f = -68 + m. Suppose 0 = 8*i - f + 201. Which is bigger: i or -68\/3?\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of -6*o**7\/7 + 41*o**3\/6 - o**2 + 18*o. Find the second derivative of q(n) wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1584 - 994. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 63163 and 310488.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 480*l + 1342 = 419*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 560*0.4.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13280 divided by 3320.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 8*r + 42. List the prime factors of ((-132)\/r)\/(18\/126).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -4*a - 11. Let b = a + 20. Let y = -32 + 113. What is the greatest common divisor of b and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56490, 112822, 169154, 225486, 281818?\nAnswer: 338150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Solve 10243*d = 10121*d + 422 + 3116 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19.2 - -30. Let b = y + -10.79999917. Round b to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 66 + -68 - (1 + 1 + 0 - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*h - 24641 - 78693 = -19*h. Calculate the highest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9707979769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -93.94 - -93. Let z = b - 0.06. What is the third biggest value in z, -3\/5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, j: 3, y: 4, k: 1, w: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**3 + 5 - 5)*(3 + 3 - 4) + (-x + 2*x - 5*x)*(3*x**2 - 2*x**2 - 3*x**2).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.08483*2.6\nAnswer: 0.220558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are 420 and 2712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 144 divided by 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -8*p + 2. Let t(a) = -8*a + 3. Calculate 3*q(z) - 2*t(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -t**3\/3 + t. Let q(a) = 2*a. Suppose 0 = -8*k - 11 - 13. Let d(z) = -z. Let f(g) = k*q(g) - 5*d(g). Calculate f(u(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1360211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 1001919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(1\/18)*r**33)\/((r\/(r**(-10)\/r))\/r)**(-42) assuming r is positive.\nAnswer: r**(8927\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -2*s**3 - 2*s**2 - 2*s. Let q be w(-1). Suppose m = -b + 15, 4*b + q*m + 3*m - 55 = 0. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 at most as big as -44\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -5*l**2 - 23*l - 15. Calculate h(-9).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, v: 1, m: 1, q: 1, w: 1}. What is prob of picking 1 s and 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -171, -259, -271, -219, -115, 29?\n\"Answer: -2*w**3 + 50*w**2 - 224*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes before 3:19 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dddddddddiiidiid. Give prob of sequence diii.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4\/(-6))\/((-9)\/216). Let k = t + -11. Calculate the remainder when 19 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-5 - -1 - 0). Suppose 16*v - 17*v + 8 = h. Calculate the greatest common divisor of 72 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62952.\nAnswer: 2, 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**25*(j*j**(-2\/17))\/j assuming j is positive.\nAnswer: j**(423\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + 38*u**2 - 46*u + 105. Is 36 a factor of j(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bc when two letters picked without replacement from dwcbpwwwddcbwpwwcdcd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.9 + 0.6. Let g = q - -0.2. Let t = g + 0.09999819. Round t to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -715, -614, -515, -418, -323, -230, -139?\n\"Answer: -z**2 + 104*z - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -11\/62?\nAnswer: -11\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 61134*y**2 + 73104*y?\nAnswer: 122268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6407 - 113.3593. Which is the third biggest value? (a) 12 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, -2\/87, 7, 0, -0.4, 0.1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 + 18. Let j = k - -5. Solve 0 = -5*u - 5*i - 10, 3*u = 4*u - i + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w - 87 + 39 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/6)*d*d**(1\/3))\/(d**(-6)*d\/(d*d\/d**(-1)*d*d*d)) assuming d is positive.\nAnswer: d**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 183 and 19182304?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2590 - -1864. What is the highest common divisor of 1048 and g?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 4 + o + (0 + 1 - 3)*(28 - 28 + 3*o)*(-3 + 1 + 5).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30232, -120935, -272110, -483763, -755900, -1088527?\nAnswer: -1481650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 0*w - 2*w**2)*(-29 + 29 - 9*w) + 4*w**3 + w**3 - 6*w**3 + (5*w**2 - 5*w**2 - 2*w**2)*(5 - 5 + 2*w) - 2*w + 2*w - w**3 + 2*w**3 - w**3 + 0*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -823120*u**3 + 411632*u**3 + u + 411600*u**3.\nAnswer: 112*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -184531398 divided by -61510466.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 13 = 2*v, 4*v + 30 = -v - 5*s. Is -5\/8 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and -0.0988.\nAnswer: 0.01976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -880 + 880 - 57*u + (3*u - u + u + (-9*u - u + 5*u)*(1 - 3 + 1))*(-6 + 2 + 2).\nAnswer: -73*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let y = 22754 + -22775. Which is the closest to -1\/4? (a) 1.6 (b) 3 (c) -2\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 1629*b + 6282. Determine n(-4).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2637 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -7*d - 1. Let k(v) = -150*v**2. Give a(k(g)).\nAnswer: 1050*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 50 - 29. Suppose 3*j + 9 = f. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 540575, 540670, 540765?\n\"Answer: 95*y + 540480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 2 f, and 1 z when four letters picked without replacement from lfffffoobfzzfzzoo?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9 + 15. Calculate the least common multiple of d and (-20)\/(-2) - (-4 - -3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8800895035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 189212405*y**2 + 4543*y + 10292 wrt y.\nAnswer: 378424810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-5)*i*i**0*i**(-3)\/(i*i*i\/(i\/i**7)) assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d - 16, 3*v + 3*d = 8*d + 26. Suppose 14 = -8*w - v. Let o be 27\/(-24)*(w - (-20)\/6). Put o, 0.4, 0 in descending order.\nAnswer: 0.4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 33913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((9 - 36 - 3)*(2*d - 3*d + 0*d) + 3*d + 0*d - 4*d)*(5 - 5 - 2).\nAnswer: -58*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 370*k**3 + 118*k**2 + 10*k - 17. Let g(n) = -370*n**3 - 117*n**2 - 8*n + 13. Let h(q) = -5*g(q) - 4*t(q). What is the third derivative of h(r) wrt r?\nAnswer: 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 2*j**3 + 2 + 1527520*j + 1.\nAnswer: 2*j**3 + 1527520*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 35*m - 673. What is i(19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/2391, 5, -8, -0.5, -4\/7 in descending order.\nAnswer: 5, 2\/2391, -0.5, -4\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 53331 and 6583.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 + 14*i**2 - i + 17. Let a be v(-14). Let h = -8 + a. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 278352615.\nAnswer: 3, 5, 541, 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1119*t**3 + 71570*t**2 - 508073726?\nAnswer: 3357*t**2 + 143140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*2\/(-8)*-12. Suppose -4*t = -3*h + 24, -3*h - 3*t + v*t = -27. What is the second derivative of -m - 12*m**3 + h*m**3 + m**4 - 2*m wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -343*n**3 - 1231*n**3 - 2796*n**3 - 1202*n**3.\nAnswer: -5572*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = 10*u - 864. Let l = 273\/5 - u. Factor 0*n + 0 + 1\/5*n**3 + l*n**2.\nAnswer: n**2*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 7*i - 23. Let v be b(4). Solve 0*p = -v*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 186940000 rounded to the nearest one million?\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 116 and 66.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 998817.\nAnswer: 3, 223, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 234 + 238. List the prime factors of g.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8\/4285 or 1?\nAnswer: 8\/4285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.9 + -0.7. Let r = c - 0.4. Let i be (-6)\/3*3\/(-14). What is the third biggest value in -4, i, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 35*u**3 - 7*u**2 - 248*u. Let h(b) = 37*b**3 - 8*b**2 - 251*b. Give -9*h(i) + 10*p(i).\nAnswer: 17*i**3 + 2*i**2 - 221*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 312485, 312294, 312103, 311912?\n\"Answer: -191*t + 312676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/600 and -11\/9300.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -9*z - 2. Let l be k(-3). Suppose l*o = 19*o + 168. What is the highest common factor of 44 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34*40\/12920*703?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from xxhhxxxhhxxxhx.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 15835*i*n + 7385*i - 2*n wrt n?\nAnswer: 15835*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -22, -19, 0, -3, -7 in ascending order.\nAnswer: -22, -19, -7, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -478.5 - -483.5. Let x = 367 - 177. Let u = -953\/5 + x. Which is the third biggest value? (a) 0.4 (b) 2\/7 (c) o (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 + 4*i**2 - i - 1. Let j be z(-4). Suppose 0 = -j*f + 2*f + 6. What is the smallest common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 51*b - 5 = 0, 1419*m - 5*b = 1422*m - 37 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 2*x - 2504, 4*x = -5*n + 3553 + 2680. What are the prime factors of n?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.2, -4, -10, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 812 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*m - 75 - 21. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4003 a factor of 133147786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (1\/(10\/(-3)))\/(((-1100)\/375)\/(-44))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnldlndndnldnnldn?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6817284 and 68688?\nAnswer: 27269136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/(j**(-2)*j*j)*j)**42\/(j**1)**(-38))**15)**1 assuming j is positive.\nAnswer: j**1830","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8352 - 8355. What is the nearest to -1 in -14, i, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 58 + -59.63. Let v = f + -0.27. Let t = v - -0.9. What is the nearest to t in -3, 2\/23, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4941 times -9\nAnswer: 44469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 64583287199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify p*(p*p**9)\/p*p**(4\/9)*(p*p**3*p*p)**50 assuming p is positive.\nAnswer: p**(2794\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 554096 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17574*f - 39662*f**2 - 17574*f.\nAnswer: -39662*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2949 - 1.4771. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 32 - 33.3. Let m = -0.3 - k. Let w = 8 - 10. What is the closest to -1 in w, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-20) - (-12)\/10. Suppose 5*k = 6 - r. Which is smaller: k or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 1:55 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/8 - 664\/(-288) and -17\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/5 (c) 0.3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 AM and 11:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qcnq when four letters picked without replacement from nqsncvsnvsqccqcvq?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -750 - -770. Which is the biggest value? (a) t (b) -0.02 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.011 - 6.089. Let h = -6 - x. Suppose 20 = -29*m + 34*m. What is the nearest to -0.1 in 5, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1995705 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of q**2 - 2. Let z(r) be the third derivative of -23\/60*r**5 + 0*r**3 + 0 + 0*r**4 + 0*r + 2*r**2. What is z(x(t))?\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3\/22304 and -1\/978588.\nAnswer: 7828704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3100 = 4*o - 26*b + 29*b, b + 2299 = 3*o. Calculate the smallest common multiple of 3 and o.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let s be ((-159)\/(-9) + -2)*3. Let m = s - 19. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/13809 and -14\/549.\nAnswer: 2527047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6\/7 - -37\/35. Let o(v) = v + 3. Let h(w) = w**3 + 5*w**2 - 5*w - 2. Let n be h(-6). Let l be o(n). Which is the nearest to -0.1? (a) l (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 not equal to -2\/33136713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, 1, -3 in decreasing order.\nAnswer: 30, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*g**4*m**2 - 5*g**4*m - 29*g**2 - 8*g*m**2 - 2*m**2 wrt g?\nAnswer: 144*g*m**2 - 120*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(1\/7))**(2\/113)\/(t**(-4)\/t)**(-2\/43) assuming t is positive.\nAnswer: t**(-7222\/34013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does -32599298 = -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18135 and 1745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1498*s**2 - 270*s**2 - 417*s**2 - 396*s**2 - 407*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.3016 - 0.1016. Let f = -6 + 11. Which is the fourth smallest value? (a) 6\/5 (b) -5 (c) f (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 3*n - x - 366, -n = -3*x - 122. Suppose -4*r + n = -58. Find the first derivative of -45*j + 3 - j**2 + r*j wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4505800 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 + 11. Suppose -r*l = -0*l - 8. Solve -4 = -l*d + 5*k, -d - 5*k - 4 = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1416 divided by 1.\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor k**4 + 1227*k**3 + 479370*k**2 + 58045888*k + 57567744.\nAnswer: (k + 1)*(k + 234)*(k + 496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of ((-576)\/45)\/(-5*(-4)\/(-350)) and 6?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t + t**2 - t + 3*t + 2. Let d be i(-4). Let r be (-3)\/(-21)*1 - 2774\/(-133). Calculate the greatest common factor of r and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 8 = 2*b, w + 4*b = 3*w - 16. Suppose y = -t + 2*t - 40, y + w*t + 15 = 0. Let x = 51 + y. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of 1\/140*s**5 + 2\/7*s**2 + 6*s + 11\/42*s**3 - 1\/210*s**6 + 0 + 3\/28*s**4. Let x(f) = 0. What is f?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -39 - -37. Which is the second biggest value? (a) -3\/7 (b) q (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 206 + -159. Calculate the common denominator of 88\/21 and (i\/26)\/((-90)\/10).\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -327 + 330. Suppose -4*u + 84 = t*u. Solve 2*q = -5*r + 4*q + u, -5*r + 5*q = -15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u. Let q be z(-3). What is the tens digit of 9 + 0 + q + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 0*x - 4*d + 108, -3*d = -x - 56. Let i be 40\/x*5*1. Let b(k) = -k - 2. Is b(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 + -5. What is the greatest common factor of w and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4010406.4 from -73031.\nAnswer: -4083437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -n + 12. Suppose -n*t = 2*o - 60, -o = 5*t - 42 - 58. Calculate the remainder when ((-14)\/4)\/((-3133)\/(-286) + -11) is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 236 divide 5081788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (2 - -3)*(-528)\/(-110) is divided by 1 - (8\/5)\/(1\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 372685300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -5*n**2 - n + 1. Let b be u(2). Let v = b + 7. Is 10 a factor of (-2)\/7 + (-438)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 0.2 (b) -1\/3 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2226*i. Let t(g) = 5*g**2 - 56*g + 4. Let c(x) = 4*x**2 - 42*x + 3. Let f(p) = 4*c(p) - 3*t(p). Determine a(f(m)).\nAnswer: -2226*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 6 = -3*s. Let o(v) = -v + 3*v**3 - v**2 + 1 - 2*v**3 + 0*v. Let n be o(s). Solve 4*m - 5 = -c, -5*c = -n*m - 5 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h**2 + h + 1. Let o(w) = -105*w**3 - w - 50. Let p(f) = -j(f) - o(f). Find the third derivative of p(g) wrt g.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) -7 (c) -1\/8 (d) 3 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 5*h**2 + 13*h - 34. Let c be o(-12). Let a = c + -817. Solve -r - 4 = -a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (75\/30)\/(1\/2). Let j be -64*(-2 - v\/(-3)). Let z = -22 + j. What is the second biggest value in 1, 4\/9, 3, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 AM and 11:02 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 12 + 3*f**3 + 6.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 9, v: 2}. What is prob of sequence vv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1596096503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 4, n + 14 = -2*s - 2*s. Let c(t) = -2*t - 15. Let l be c(-6). Let m = s + l. Which is smaller: -8 or m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -42*k**5\/19 + 1594*k**4\/19 + 108*k**3\/19 - 1224*k**2\/19 + 16*k = 0.\nAnswer: -1, 0, 2\/7, 2\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (5 - 2) - (-5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -o - 108. Let z(u) = -o*u + 15*u + 11*u. Let d(r) = 27*r**2. Give d(z(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((170\/(-9))\/5)\/(432\/(-486)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - -3588255?\nAnswer: 3588255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -54*c**3 - 60*c**2 + 14*c - 14. Let b(y) = -18*y**3 - 20*y**2 + 5*y - 5. Let u(t) = 14*b(t) - 5*q(t). What is the third derivative of u(p) wrt p?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = -93*a + 91*a. What is the highest common divisor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16582*b**3 - 26199*b**3 + 9616*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 75821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 5 = n, 22*o - 17*o - 20 = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j**2 + 47*j. Let p(q) = -3784*q. Calculate y(p(l)).\nAnswer: 28637312*l**2 - 177848*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 461.6304 - 462. What is j rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/41)\/s)\/(s\/(s*(s\/(s*s**(-1\/18)))\/s)) assuming s is positive.\nAnswer: s**(-1399\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 2 = 3*k + 9, 5*k = 3*o - 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = x - 4*x - 1051, 3*x + 2090 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01485261405 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 8*p**2 - 10*p**3 + 8*p**2 as y*p**2 + s*p + m*p**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 9576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.005 + -1.705. Which is smaller: 41 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100 = -6*s + 2*t, -s - 143*t = -138*t + 282 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is a in 3*a**2 + 390785046*a + 12726079348101843 = 0?\nAnswer: -65130841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 8, f: 5}. Give prob of picking 3 b.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z - 10. Let g be k(4). Let y be 0 - 1 - (g - (4 + -3)). Let q(d) = -6*d - 1. What is q(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of i**6\/120 - 26000*i**3\/3 + i**2. Let c be q(0). Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -23 - 34 + 26 - 22 + 12*u. Let c be n(5). Let f(o) = -39 - c*o + 6*o + 39. Let w(t) = -3*t. Determine w(f(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1280)*-2 + 3 - ((sqrt(1280) - (sqrt(1280) + -2)) + -5))*6 + 5)**2*2.\nAnswer: -31488*sqrt(5) + 372002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1044 and 116?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -911*l**3 - 3*l**2 - 322*l wrt l.\nAnswer: -5466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 10, -13484, 0, -8, -4 in decreasing order.\nAnswer: 10, 4, 0, -4, -8, -13484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - -6. Let i = -6 - r. Which is the biggest value? (a) 0 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7416 and 68422282.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 7*r**2 + 12*r - 29. Let g(p) = -2*p**2 - p + 4. Let v(q) = -f(q) - 4*g(q). Calculate v(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 4 = -2*o, -5*t + o + 20 = 6*o. Suppose -3*s = -3*z - 3, z + 49 = t*s + 6*z. Solve -5*g + s = -2*u - u, 0 = 5*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/80366648 and 91\/2.\nAnswer: 80366648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -631184, -631148, -631110, -631070, -631028, -630984?\n\"Answer: m**2 + 33*m - 631218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.15 - 70.15. Let s = -69.7 - y. Which is the closest to 2? (a) 2\/15 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 382?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 873\/679*(-14)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 104 - 25950\/(63 - -87)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3 (b) 475 (c) 1\/2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x + 39915*x**2 - 3*x + 2*x**3 - 3*x + 8.\nAnswer: 2*x**3 + 39915*x**2 - 7*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5755\/8 + 721. Suppose -72490 = 53*z - 64*z. Let k = -177892\/27 + z. Find the common denominator of k and s.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -46.3 - -46. Which is the fourth biggest value? (a) 4 (b) -4\/7 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 246*f + 91 = 414 + 4 + 165 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/(-4)*(-1 + 0). List the prime factors of (h\/5)\/(15\/(-2025)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -19 (b) -1\/3 (c) 5\/4 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 209 - 229. Let j be (-8)\/20 - (36\/f)\/(-3). Suppose 0 = -c - 0*c + 4. Sort j, c, 5 in ascending order.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34138?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -19 + 56 + 0 + 3 + -3 + 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 50443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20570.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -7*h + 2*h. Suppose -4*p + 0 - 4 = 0. List the prime factors of (-95)\/h*10 + p + 5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 19 = 5*u + w, 0 = -2*u + w + 5. Suppose -1 = 2*h + u. Let b be 4 + h + (-17)\/10. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 3*s**3 + 283*s**2 + 916*s + 589. Give k(-91).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*f + n - 81 = 4*f, 8215 = 5*f - 7*n + 8102 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 307172 (base 8) to base 15\nAnswer: 2035a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 117896*q**2 - 58970*q + 4 wrt q?\nAnswer: 235792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((630\/81)\/(-2) - -4)*(-3)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -276347 and -40217.533?\nAnswer: 236129.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/30*-5*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cuccu. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -5*a - 23814, -3*j + a + 59489 = 2*j. Let o = j - -3788. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -15? (a) -1\/45 (b) 2 (c) -0.1 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -0.082, -1, -2?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o**2 - 6*o - 14. Let g(i) = -i + 1. Give -5*g(x) + t(x).\nAnswer: -3*x**2 - x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 3*k - 23, 19 = -3*k + f + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -4.6 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 4 + 11 = 0, -z - 2*k + 7 = 0. Let r(f) = f**3 + 3*f**2 - f. Let i be r(z). Suppose -i*c + 8 = -c. Solve c*q + 8 = 6*j - 2*j, 3*q - j = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 divided by -50?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 63537701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 3*s**2. Suppose 4 = -x + 7. Let b(i) = x - i - 1 - 2. Give f(b(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 4. Suppose m*o = -3*z + 23, z + z + o = 14. Suppose 14 = z*k - 1. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v + 2*v - 2*v)*(7 - 3 + 15 + 0).\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 100*z**3 + 818458*z**2 - 281897930 wrt z?\nAnswer: 300*z**2 + 1636916*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 56346.85 kilograms?\nAnswer: 56346850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 143 - 136. Suppose -m*q - 1279301 = -9049301. Round q to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2438331, -2438378, -2438425, -2438472, -2438519, -2438566?\n\"Answer: -47*j - 2438284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 159 = -3*t, 2*t - 156 = -2*m + 4*t. Let s(g) = g**2 - 63*g + 840. Let p be s(18). What is the highest common divisor of m and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 451 divided by 41\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -13168*n - 13792. Let i(v) = -17558*v - 18381. Let z(l) = 11*d(l) - 8*i(l). What is the first derivative of z(r) wrt r?\nAnswer: -4384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -16665, -16698, -16735, -16776, -16821?\n\"Answer: -2*u**2 - 27*u - 16636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 47, 95, 139, 179, 215, 247, 275?\n\"Answer: -2*o**2 + 54*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.2, -5, 31, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 703 - 703.0000447. What is c rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j**5 + 5*j - 5*j**5 + 39 + 16*j**4 + 3 - 18 - j - 40*j**2 = 0. What is j?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 24 = -u + 31, 0 = -4*u - 5*r + 25. Calculate the remainder when 134 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 4*n + 780, n + 516 = 2*i - 3*n. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j + 60 = 112406*h - 112411*h, -3*h - 3*j + 66 = -h + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4 - (5 - (2 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272035 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26211 is divided by 182.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*a**4 - 2 + 2 + 2*a + 0*a**3 + 0*a**3 + a**4 + (-a**2 + a**2 + 2*a**3)*(a - a - a).\nAnswer: -5*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from {h: 4, l: 3, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -106 (base 9) in base 10?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -13424373 at most -13424371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 12*f - 1. Let u(n) = n**2 - 19*n + 43. Let s be (-1)\/3 + 196\/12. Let c be u(s). Let h(x) = -2*x**2 - 9*x + 4. Let d be h(c). Determine v(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 12*b**2 + 4*b - 1. Let k(d) = -14*d**2 - 5*d + 2. Let r(t) = 4*k(t) + 5*v(t). Let o(u) = -5*u**2 - 3. What is 3*o(h) + 4*r(h)?\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3\/(((-1)\/2)\/((-4)\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of -7*d**3\/6 + 8*d**2 + 4*d. Let f be b(2). Solve 0*r + 2*r + f = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - 5)\/20*8*-1. Solve w*c = 4 + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317908762 to the power of 1\/2, to the nearest integer?\nAnswer: 17830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**2. Let t(r) be the second derivative of -r**6\/40 + 5*r**4\/12 + 7*r. Let g(i) be the third derivative of t(i). Calculate x(g(a)).\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f**2 - 85*f - 74. Let o be b(-40). Suppose 2*m + k + 24 - 57 = 0, 5*m + 5*k = 95. What is the highest common factor of m and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 875201652 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 + (-3)\/(3\/(-13)). Let n(h) = 2 + 3 - 3 - 800*h + 799*h. Let f(c) = -6*c + 11. Give v*n(t) - 2*f(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 15 - (11 - (-306)\/(-204)*20\/6). Let s(j) = j**2 - 3*j - 4. Let r be ((-4)\/3)\/(3\/(-9)). Let t be s(r). Solve 2*z + z - b = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -3*z - 4*c, 5*c = 3*z + 3*c - 44. Solve -50 = -36*o - z*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1659964, 3319947, 4979930, 6639913, 8299896?\nAnswer: 9959879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 33 - -50. Suppose o - 2*o = b. Let i = 87 + o. Solve i*u - 13 = s, 3*s - 4*u + 3 = -u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17042 - 11670. List the prime factors of s.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45\/4167329 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 4*u = 84, g - 2*g = 5*u - 3. Suppose 0*n - 156 = -3*r - n, 2*r = -2*n + 100. Calculate the remainder when r is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-1))\/(-17 + -2)*(-2470 + 2471).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.12 + -5.12. Let c = 0 + 2. Let r be (-20)\/(-70) - 8\/126. What is the second biggest value in r, c, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1234 (base 6) to base 4.\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23 + -23. Is -2\/33 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j**2 - 2*j + 44. What is the remainder when 52 is divided by s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9\/(-6)*70\/15. Let c(b) = -b**2 - 7*b + 2. Let n be c(v). Suppose n*s + 9 = 5*s. Solve i + s - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -29 times 12\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*w + 35*w**2 + 8*w**3 - 7*w**2 + 13*w**4 - 41*w**4.\nAnswer: -4*w*(w - 1)*(w + 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, 409, -4 in decreasing order.\nAnswer: 409, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 83.1 - 42.8. Let q = -40.29648 + w. What is q rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 404 a factor of 146134072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of -9*l**2 + 0 - 1\/6*l**5 + 1\/24*l**6 + 0*l + 0*l**3 + 5\/24*l**4. Let m(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (7*1\/2)\/((-14)\/(-28)). Suppose 10*q - 9*q + c = 0. What are the prime factors of -2 + 3 - 25*q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 6*q**2 - 25*q - 113. Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 2041*t**2 - 6. Let v(c) = -18365*c**2 + 55. Give 55*p(i) + 6*v(i).\nAnswer: 2065*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 2*b + 52. Let z be (-339286)\/b - (-6)\/8. Let p = -8473 + z. Find the common denominator of 35\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(3\/2)*c*(c*c**3\/c)\/c*c*c**(-2\/19)*c**2*c*c)\/((c**(-1\/3))**(-11\/8)\/(c\/c**(-1\/2))**5) assuming c is positive.\nAnswer: c**(7495\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*g + 70 = -11*g. Let w(p) = -g*p - 3*p**2 - 5 + 1 + 5. Let j be w(-3). Solve 0*c = -j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -6*p + 27, 0 = -7*c + 4*c - 15. Let v(w) be the second derivative of -w**3\/6 + 6*w**2 - 2*w. Is 2 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79454 is divided by 4670?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87719025?\nAnswer: 3, 5, 1169587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-5)\/(-4))\/(3\/12). Suppose -33 + 11 = -2*i - x*w, 0 = -5*i - 5*w + 40. Solve -5*d - 3*o = -i, -7 - 3 = -5*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 43*p**3 + 2*p**2 - 109*p - 2. Let j(l) = 44*l**3 + 3*l**2 - 109*l - 3. Let q(m) = 2*j(m) - 3*w(m). What is the second derivative of q(k) wrt k?\nAnswer: -246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n + 11*n = 0. Put -12, n, 1 in ascending order.\nAnswer: -12, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 42 - 39. Suppose 0 = -2*f + 3*j + 23, -f + g*f + 5*j + 17 = 0. Suppose 7*w + 15 = f*w, -2*s = -3*w - 121. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 402 + 364 = 0. Solve m - 9 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 5 - (1 - (-2 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5513*n**2 - 8313*n - 10233 + 10231 + 2340*n**2 wrt n?\nAnswer: -6346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 22 in 1, -7316, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(3\/5)*s\/(s\/s**18) assuming s is positive.\nAnswer: s**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 2*f**2 - 153*f + 1072. Let v be c(7). Let g(o) = 9*o. Let i be g(1). What is the greatest common factor of i and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6120)\/(-216)*(-24)\/20?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 - -28. Suppose 11*c - 21 = s*c. Suppose 2*a = -c*m + 3, 0 = 5*a + 2*m + 1 - 36. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 - 5 - (11 + -7 + -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 575 and -38?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 5*i = -12, -5*j + 10*i = 13*i + 2. Let 4\/9*f**5 + 0*f**3 - 4\/9*f + 8\/9*f**4 - 8\/9*f**j + 0 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -727*s = -2159*s + 735*s + 722*s - 1275 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(34)\/sqrt(32) - (sqrt(17) - sqrt(153)\/sqrt(36))) + sqrt(153)\/(sqrt(81)*-2))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 861760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -4, -2\/260075, 4?\nAnswer: -2\/260075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 2*o - 2350, 3*o - 3152 = 4*a + 343. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -24 (b) 6\/55 (c) 399 (d) 0.4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 19320172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 795*b + 16787 + 6393 = 185*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 151793598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 39.1 + -39. Sort -1\/2, -5, h, 3 in descending order.\nAnswer: 3, h, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20201120 - 2101210100?\nAnswer: -2011001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -8. Suppose 2*o + u*o - 218 = 0. Is o 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 7021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/906*3\/5*475\/(-285).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.012 - 19360084.\nAnswer: -19360084.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1033, -2070, -3111, -4156, -5205?\nAnswer: -6258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 744*q - 749*q - 3*b - 9 = -4*b, 0 = -5*b - 80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 144 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21.36 - 943.36. Let y = 908.52 + n. Round y to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2 (b) 1\/6 (c) 1\/2 (d) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13195, 53492, 120655, 214684?\nAnswer: 335579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28916 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 15 - 11*b + 8*b + 40 + 5*b.\nAnswer: 2*b + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4712 + 2367. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 88 + -86.89. Round l to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -26 + 6\/33 + (-2278)\/187.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 845.\nAnswer: -2\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*h + 3*h - 4*h + 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -1*sqrt(20))**2 - ((sqrt(15)\/(sqrt(3)*2))**2 + sqrt(10)\/sqrt(2)*6).\nAnswer: -26*sqrt(5) + 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 210 - -112. Let y = 366 - c. 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: Let a = 31.551 - -0.149. Round a to 0 dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*p - 0. Let s(t) = -3*t**3 + 2*t + 1. Let g be s(p). Solve g*v - 2 = 2, -2*l = -v - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 44 = -6*v. Let w = 26 - 6. Calculate the remainder when w is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.18 (b) -355 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 682\/5 - 137. Suppose i = -0 - 1. Are v and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0 - 4 = 0. What are the prime factors of (c - 0)\/(6\/(-69))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 629 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 12, c: 3}. What is prob of sequence acc?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 5*s + 43. Give t(15).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 67 (base 11) to base 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3182ab (base 14) to base 7\nAnswer: 20142404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k - 1. Let f be j(-4). Suppose 0 = 66*s - 72*s - 1746. Let n = s + 290. Put n, 1, f, 3 in descending order.\nAnswer: 3, 1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 158, 163, 170, 179, 190?\n\"Answer: p**2 + 2*p + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.3547 and -28.\nAnswer: 93.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 235 divide 65456430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -34294 take away 11?\nAnswer: -34305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 3*q + 21 = 0, 12*p + 2*q = 13*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/15520 and -49\/176928.\nAnswer: 884640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 949.6605mg?\nAnswer: 949660.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -2*y**2. Let h(z) = 4*z**2 - 5*z + 5. Let a be h(4). Let c(i) = 5*i - 49 + a. What is c(d(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -3.0332554 + -121040\nAnswer: -121043.0332554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25 + 18. Let u = 9.25 - 6.25. What is the closest to 0.3 in u, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1381 - 2759\/2. Find the common denominator of -61\/201 and y.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30345 and 16629774?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5469*l - 5342*l + 16266*l + 14 - 5456*l.\nAnswer: -l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*c - 24*c + 256. Let f(z) = 18 - c - 2*z**2 - 5*z**2. Let p(n) = -266*n**2 + 77. Calculate -77*f(u) + 2*p(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -57.2.\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 12:13 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*t**3 + 4*t - t**3 - 6*t**3 + 9*t**4 + 2*t**2 - 2*t**2 to v*t**3 + i*t + n + m*t**4 + g*t**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, x: 3, r: 4}. What is prob of picking 3 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 95 - 54. Suppose 94 = -2*b + 5*p + 29, -2*b + 4*p - 60 = 0. Let w = i + b. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - q + 3. What is w(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 AM and 8:10 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:15 AM and 11:32 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of 8*s + 0*s**5 + 0 + 0*s**2 - 7\/6*s**3 + 0*s**4 - 13\/30*s**6. What is the second derivative of z(k) wrt k?\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71080 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (519\/(-2) + (7 - 6))*2. Let t = a + 747. Round t to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of ((-69)\/9)\/(39\/(-117)) and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/9, -4\/3, 2, 1, -5\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -120.71 + 120.3584. Round a to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - d. Let v be y(-2). What is the remainder when 5 is divided by v\/(-12) - 34\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 265618.9710042 - 265619. Let d = 0.029 + y. Round d to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) 3111\/8 (c) -1 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3005546035*w**3 - 1502773021*w**3 - 1502773015*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**30\/(x*x\/((x*(x**(3\/2)\/x)\/x*x)\/x)))\/(x**(2\/41))**(2\/37) assuming x is positive.\nAnswer: x**(86461\/3034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*f**4 - 21*f**4 - 23*f**4 + (26*f**3 + 27311*f + 2 - 27311*f)*(5*f - f - 2*f).\nAnswer: 2*f**4 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t**2 - 4*t**2 + t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 25*z**3 - 15*z - 15. Let n(d) = d**3 - d - 1. Calculate 15*n(s) - p(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 5*j - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -150, -756, -2402, -5610, -10902, -18800, -29826, -44502?\nAnswer: -63350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 235 + -177 + (4 - 68)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from {n: 7, f: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 4 - 4)*(342*r**4 + 29443*r**3 - 29443*r**3) + (0*r - r + 2*r)*(0*r**2 + 2*r**3 + 0*r**2) as j + m*r**4 + z*r**3 + p*r + x*r**2 and give m.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 227 + -51. Let i = d - 147. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 2390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*i + 9*i + 432 = 0. Let o(w) = -100*w - 1816. Calculate the least common multiple of i and o(-19).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*n - 4 + 16. Suppose -2*q = n*q - 8. Suppose q*m - 4 = 0, -4*k + 168 = -0*k + 2*m. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1 (b) 5 (c) -10 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -18d - 48?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hjn when three letters picked without replacement from hjnnf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 - -2) + (-7)\/14*6. Is (s + 2)*(-788 + -1)\/3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2722284 - 0?\nAnswer: 2722284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -54*i - 72. Let b be m(-10). Let w = 90 + b. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**(3\/4)*i))\/(((i\/(i**5*i))\/i)\/i))**(-7) assuming i is positive.\nAnswer: i**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, 3, -2\/9, -107, -8, 62 in decreasing order.\nAnswer: 62, 3, 1, -2\/9, -5, -8, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28158 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 340324 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 318 = 5*f. Suppose 5*o = 3*t + 150, 2*o - 4*t = -o + 101. What is the remainder when f is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.018 and 249808564?\nAnswer: 249808563.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -12511078, -12511011, -12510940, -12510865, -12510786?\n\"Answer: 2*t**2 + 61*t - 12511141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -4*k**2 + 5*k - 2. Let u(x) = 2*x. Let d(y) = -q(y) + 2*u(y). Give d(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0.3, 4, -2 in descending order.\nAnswer: 4, 2, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (70\/(-98))\/((-15)\/3)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -36*w. Let g(l) = 330*l. Determine x(g(v)).\nAnswer: -11880*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:17 PM and 11:16 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -88 + 97. Let q(t) = t**3 + 7*t**2 + 2*t + 9. Suppose -w = -2*w - 1, 4*f - 5*w = -19. Calculate the remainder when q(f) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 + 2*i**2 - i. Let w(g) = g + 4. Let t be w(-7). Let x be q(t). Let v = x + 15. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7\/367 or -0.723?\nAnswer: -7\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 3, 7 in increasing order.\nAnswer: -9, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*w - 7 - 4*w + 16*w + 7.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 8:10 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (156\/2574 - 202\/66)*(1 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -30*r**2 - r**2 + 22*r**2 + 34*r - 28*r**2 as l*r**2 + z + y*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 576459?\nAnswer: 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.26 and -973.\nAnswer: 252.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a - 2. Let d be v(-4). Suppose -b + 2*b = 4. Let k be (b\/(-5))\/((-6)\/75). Solve 0*u = -d*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -163*b + 1632. Let v be n(10). Solve 7*c - 3*c + v*k = -14, 4*c + 23 = k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = 1276 - 1324 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -19, -0.201, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-101 + 12 - (-28 - -3)) + (9 - 0) - -6.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 19*p**2 + 24*p - 13. Suppose i - 34 = 3*i. Let y be d(i). Suppose 5*x - y = -2*f, 9 = -3*x + 6*x. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-112)\/280*(-1)\/(-1))\/(4\/(-890)) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v + 3*v - 10*v)*(1592*v**3 + 1 - 3090*v**3 - 1).\nAnswer: 7490*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.097 * 434\nAnswer: -42.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-3920)\/10*3\/6*(-41)\/(-82)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h + 2. Let m be c(2). Let j be (m - -1)\/1*8. Let q be j\/(-15)*(-3)\/12. Are 1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5387 + -5090. What is the highest common factor of 3927 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -156.77 - 105.55.\nAnswer: -262.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -61*t**2 - 121*t**2 + 5295893 - 2*t**3 - 4*t**4 - 5295895 in the form l + w*t + v*t**3 + c*t**2 + a*t**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4\/7 and 51\/4748.\nAnswer: 33236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iyihptittaiy. What is prob of sequence pi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 42729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/1274 and 91\/16.\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*r + 74*q - 70*q + 24, -4*r = 4*q + 40 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6 and 6738.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 + 4*b - 6. Let g be l(-6). Let w be 21\/14*64\/g. What is the highest common factor of w and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 7*j**2 + 8*j + 1. Suppose 0 = -4*a - 13 - 315. Let l = 76 + a. Determine h(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*t**3 - 1119218*t**2 - 1236988*t - 117808 = 0. What is t?\nAnswer: -29452, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6082449302.\nAnswer: 2, 31, 41, 2392781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 24*a**4 + 8862*a**2 - 8484979*a.\nAnswer: 288*a**2 + 17724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2162)\/(-161) - 13)*-1. What is the second biggest value in -2, 2\/17, r, -189?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g**2. Suppose 4*m + 15 = u, 3*m - 4*m - 16 = -2*u. Let j(c) = u - 7 - c**2. What is j(v(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/778053 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 85 - 137 + r**2 - 9*r + 84. Let v be g(5). Solve -5*u - 13 - v = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (6\/5*1)\/((-1110)\/(-33419325))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 3 = -12. Suppose 5*w - 32 = l*q, 0*q - 2*q = 2*w. Let o = -84.19 - -84.29. Sort o, q, -6 in descending order.\nAnswer: o, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -20 - 2. Let m = 41 - 68. Let t = m - h. Which is the second smallest value? (a) 2 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l*(l**(1\/2)\/l*l)\/l))\/l**(-38))**(-18\/11) assuming l is positive.\nAnswer: l**(-711\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -6149.9958 to zero dps.\nAnswer: -6150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -35*p. Let j(z) be the third derivative of z**4\/4 - z**3\/3 + 6*z**2 - 112*z - 2. Calculate q(j(v)).\nAnswer: -210*v + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 7*j**2 - 137*j - 50. Let y be q(20). Let h(p) = 9*p + 3. Let u be h(3). Let k = u + 0. Calculate the greatest common divisor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 10 = 0, 5*d - 425 = 4*o - o. Let v(p) = -p**3 + 19*p**2 - 18*p + 8. Let c be v(18). Calculate the greatest common divisor of c and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 - -10.21. Let h = g + -0.2091. Round h to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5658)\/126 - (-4)\/(-42). Let m(y) = y**3 - 8*y**2 + 5*y + 6. Let k be m(8). Let a = k - j. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 1 + 0)*(-3 + 1 - 1)*(-1 - 4 + 7)*(48 - 48 - 18*i) to b + t*i and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 21\/2 (b) -0.3 (c) 56 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*o**5*s**3 - 17*o**5 - 304*o*s + s**3 wrt o.\nAnswer: -60*o**3*s**3 - 340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13)\/234*(-27)\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 86 - 59. Let i(x) = -26*x + 1. Let h be i(-1). Suppose 3*t = 2*j - 5*j + h, 0 = 5*t + 4*j - 46. Calculate the remainder when f is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 4*i**2 - i - 4. Let m be x(2). Suppose -4*j = -7*j + 9, 5*j + 17 = 4*p. Solve m*y - p*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -717\/5 - -144. Let r(z) = -z**3 + 4*z**2 + z - 2. Let p be r(4). Let q = p + -1. Sort g, q, 0.4 in decreasing order.\nAnswer: q, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-5)\/(-15)*3)\/(3\/6). Let q(p) = p**2 - p**2 - p**x. What is q(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (13 - 1)\/4 + -3. Let h(k) = 9 + u*k + k - 19. Let s be h(14). Solve s*d - 5*d = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttfffffffffftffffftt. What is prob of sequence fftf?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the second derivative of h**8\/2352 - h**7\/1470 - h**6\/840 + h**5\/420 + 19*h**2\/2 - 10*h. Let v(c) be the first derivative of o(c). Factor v(t).\nAnswer: t**2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2 + 9*l - 34. What is u(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 5, 11, -28 in increasing order.\nAnswer: -28, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-32)*232\/(-87).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 404308 is divided by 126.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 102 - 19. Suppose -2*v + 3*d = 3*v + 107, 5*v = -3*d - p. Let c = 37 + v. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u - 6*u + 10 = 0. Let o be (35 - 5)*(-3)\/u. Let x be 12\/((o\/(-75))\/(51\/(-2))). Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 810 in -5, -2, -1, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -515, -513, -515, -521, -531, -545, -563?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 + 11*r**2 + 17*r - 3. Let n be t(-9). Which is the biggest value? (a) -0.3 (b) 0.6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-6)*27\/36*(-40)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3 - 112*j**2 + 113*j.\nAnswer: -j*(j - 1)*(j + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 17355*b**3 - 2594*b**2 + b wrt b.\nAnswer: 104130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -102 = 80*l - 114*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**12*j*j\/((((j*(((j\/(j**11*j*j))\/j)\/j)\/j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -3*w + 40. Let j be x(12). Suppose 9*v = 7*v + j. What is the third derivative of v - 64*n**2 - 2 + 72*n**2 - 23*n**4 wrt n?\nAnswer: -552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -8*h - 4. Let p(b) be the first derivative of -7*b**2\/2 - 5*b + 7. Let l(s) = 2*p(s) - 3*v(s). Let f be l(-1). Let q(i) = -i - 3. What is q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of -5*u**8\/1176 - u**7\/245 + u**6\/60 + u**5\/70 - u**4\/42 + 1195*u**2. Find h such that n(h) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(6*(sqrt(216) + -2*sqrt(216) - sqrt(216)) - 6*sqrt(216)*-2)\/((sqrt(32)\/sqrt(2) + sqrt(16) + sqrt(16))\/sqrt(2) + sqrt(8) + sqrt(128)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 AM and 10:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q + 2*q - 2*q + 2*q + 2*q - 3*q + (-5 + 5 - 2*q)*(-2 + 2 + 2))*(10445 - 5504*q - 10445)*(5*q**3 - 3 - q**3 - q**3).\nAnswer: 66048*q**5 - 66048*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 + 17. Suppose 4*r = m*l + 5, 5*r - 4*l = 3 + 1. Suppose r = 3*b + 2*b - 290. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 10:54 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dmxvxqdv. Give prob of picking 1 x and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.124, 0.09, -2\/9, 119 in ascending order.\nAnswer: -2, -2\/9, -0.124, 0.09, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 734 divide 9053890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 879*o = 860*o - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 4133, 7328, 10559, 13832, 17153, 20528?\n\"Answer: i**3 + 12*i**2 + 3152*i + 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -186732 divided by 189\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/(-21) + 4225\/3. Suppose 16 = 5*r + 6, -q = 5*a + r. Calculate the remainder when (3\/6)\/((-3)\/a) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 31010203 (base 4) to base 12\nAnswer: 26b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -166*35\/28*(-8)\/10 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2939233*g**2*j**3 + g**2*j**2 + 143*g*j - 3*g - 22*j**2 wrt j.\nAnswer: 17635398*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 0 - 1)*(-3 + 3 - 2*m) - 10*m - 6*m + 12*m)*(-39*m**3 - 94*m + 94*m).\nAnswer: 312*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3764701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 480314 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - f + 2*m = -4, m = 4. Let a(w) = -3*w - 15. Let n be a(f). What is the highest common factor of 27 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 70954793 by -2639.\nAnswer: -26887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mvwv when four letters picked without replacement from {v: 1, m: 3, o: 1, b: 2, w: 3, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve t + t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 + 6048061*f\/7 - 576006\/7.\nAnswer: (f + 288003)*(21*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 137*l + 4 - 4 - 138*l. Let x(w) = 3*w + 2. Let a(k) = -5*d(k) - x(k). Let t(r) = -r + 9. Let i be t(5). Give a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 5*l = 2*p - 61, 5*l + 23 = 4*p. Suppose -9*f = -6*f - p. Suppose -5*a - 50 = -5*v, -4 - 4 = f*a. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - -2 - -2) + -3 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -1345*w - 3. Let p(j) = 4*j. What is p(n(b))?\nAnswer: -5380*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:40 PM and 1:33 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**4 + 84*n**3 + 408*n**2 + 752*n + 480.\nAnswer: 4*(n + 2)**3*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -353065 and -2?\nAnswer: 353063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 73353 and 1270 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 158*b - 8. Let w(q) = 237*q - 13. Calculate -8*j(i) + 5*w(i).\nAnswer: -79*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -1030331312 (base 4) to base 9.\nAnswer: -530402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -4*u + 152, -76 = -3*u + 2*y + 39. Which is smaller: u or 43?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 292161, 291916, 291673, 291432, 291193, 290956, 290721?\nAnswer: 290488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tktkttctcttt. Give prob of picking 3 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(45\/(-60))\/(6\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k**(1\/3)\/k*k))\/k**(-5))**(-2\/33) assuming k is positive.\nAnswer: k**(-34\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 + (-89 - 105\/(-7)) - (9\/9)\/(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**2 - 3*n - 5. Let a = -2431 - -2427. Let v(q) = -3*q**2 + 2*q + 4. Determine a*z(h) - 5*v(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = 0, 0*h = 5*h + x + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 998227744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 305344 and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pcckccckpkcpkc. Give prob of sequence ccc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 206318 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 12:53 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to 1\/4263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1045, -1348, -1651, -1954, -2257, -2560?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2 + 1)*(-1 + 1 + 7*q)*(-3*q + 9*q - 2*q)*(-3 + 1 + 3) to the form s + t*q + f*q**2 and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/4*2*294\/(-441). Let r(n) = n**2 - n - 1. Let p(u) = 4*u**2 + 6*u - 4. Calculate f*p(o) - 5*r(o).\nAnswer: -o**2 + 11*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4 = -26. Let b(n) = -2*n**2 - 44*n + 20. Calculate the remainder when 158 is divided by b(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 - 25*s + 347. Calculate a(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 66*q - 18*q + 529*q**2 - 2 - 19*q - 19*q - 11*q to y*q**2 + x*q + j and give y.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -28\/29 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 131, -230, -851, -1732?\n\"Answer: -130*o**2 + 29*o + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 18a48 + -1d6?\nAnswer: 18852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 7921420?\nAnswer: 7921420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1311\/10 + -131. Let q = 132.6 - 133. Which is the biggest value? (a) y (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 192\/480*(-4 + -1). Sort 4, -73, w, 5.\nAnswer: -73, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 2*h = 5, -w + 3*h = -6*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 70 + -2. Let b = l - 58. Calculate the highest common factor of 60 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6 + -2 + 2 + -3. Suppose -a*t = -w - 10, 21 = 4*t + 9. Which is smaller: w or -2\/69?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 6 = 0, 5*n - 4*n = -a + 319. Calculate the remainder when n is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 2:39 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 171 and 6357258.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 396 and 3426852?\nAnswer: 10280556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d**2 - 11*d + 15*d**2 - 9*d**2 + 3*d**2 - 9*d**2.\nAnswer: -2*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 + 61*u**2 - 326*u - 23545. Calculate x(-60).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7.2 plus -1424.3553?\nAnswer: -1417.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 337959637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 50604 - 1?\nAnswer: 50603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6960 divided by -1392.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -1531312 (base 6) to base 8.\nAnswer: -257234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 70642204 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dpppppppjjdjpcpdpdp.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 15 - (-230 - -233).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (3*u + 2*u - 7*u + 27)*(5 + 1 - 5) in the form m*u + i and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 - 5*t - 6. Suppose r - 24 = -2*p - 7, 25 = 5*r. Let c be u(p). Let f(b) = -b + 9. What is the units digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 - 18*s - 48. Let u be h(21). Suppose u*p = 5774 + 1396. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the second derivative of b**2\/2 - 2*b - 8248. Suppose 3 = -2*z - 3. Let a = z - -2. Let u(h) = h + 6. What is a*u(j) + 6*w(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 4. Let d(z) be the first derivative of -37*z**2\/2 - 1. Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3.4 - -0.4. Let m = -2.755 - -2.8. Let j = m + 0.155. What is the nearest to a in -3, j, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-16)*r*(r\/(r\/(r\/r**(-20\/9))))\/r*(r**(-16))**(-2\/37) assuming r is positive.\nAnswer: r**(-3967\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004699 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 134 = 3*n, 5*n = -0*q - 5*q + 290. Suppose -4*o + a - 2*a = -40, 5*o = -2*a + n. What is the greatest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15973 > 15983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.442 + -0.042. Let k = -7.6 - h. Sort -4, 2, k in decreasing order.\nAnswer: 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 15 = -7. Suppose -u*j = -4*j - 77. Suppose j*q - 14*q = 0. Which is smaller: q or 2\/31?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 417*v - 11701. What is l(-29)?\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -354 = -0*c - 2*c. List the prime factors of c.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 PM and 4:42 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 21*a - 38. Let w be u(2). Suppose 4*p - 5*m - 1581 = 0, 673 = w*p + 5*m - 938. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 5*t + 39, 11*t = -f + 8*t - 8. Let q be (f\/63)\/((-2)\/(-4))*-21. What is the closest to -0.1 in q, -0.2, 3, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (78\/(-3))\/(5\/(40\/48))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -272 - 585?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 328159615 to the power of 1\/2, to the nearest integer?\nAnswer: 18115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20219 is divided by 6737.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1398 - 643. List the prime factors of d.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19817853040 rounded to the nearest one million?\nAnswer: 19818000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(sqrt(300) + -2*sqrt(300) + sqrt(300) + -2))**2 + 3*(sqrt(300) + 2)**2*3)*3 + 4.\nAnswer: 1080*sqrt(3) + 8224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = s - 3*h + 6, -s = 3*h - 24. Let j(p) = -10 - 11*p + s - 51*p. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**3 + 17*i**2 - 14*i - 32. Let n be w(16). Suppose n = -3*o + 2*a + 5, -5*o - 6*a + 1 = -2*a. Solve o - 13 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 11*x**2 + 3. Let v(l) = -76*l**2 - 20. Let d(m) = 40*s(m) + 6*v(m). Let b(j) = -297052*j - 297049*j + 891159*j - 297053*j. Give b(d(g)).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 - 5*y**2 - 11*y - 5. Let z be n(-4). Is z\/(-69) - (-98)\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8666308 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 0*f + 439306 = 12*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + 17. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38554153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/645 (b) 0.03 (c) -4 (d) 3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 267221 and -742485751.\nAnswer: -742218530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(-10)\/x)**(-9\/2))**20)**(-1\/76) assuming x is positive.\nAnswer: x**(-495\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (13\/(-78))\/((-12)\/(-9)). Which is the third biggest value? (a) f (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -43 - -66. Let z = f - 21. Let r = -11 + 15. Which is the third biggest value? (a) r (b) z (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -4151 and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -36 - -59. Let j = 1126 + -1498. Let k = j - -370. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s - 119. Let o(r) = -r - 130. Give 6*i(c) - 5*o(c).\nAnswer: -7*c - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -31066*h + 31066*h - 49*t = -54*t + 35, 5*h = -t + 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 - 6*u**2 + 6*u - 2. Let s be l(-7). Let d = 26 - 15. Suppose 4*v - d = s. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 392*s + 392*s - 1180*s + 390*s. Let r(p) = -70*p. What is w(r(b))?\nAnswer: 420*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.1, -3\/5, 11, -53, -0.08?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*t, -4*y + 0*t = -t - 7. Find the third derivative of -26*r - 4*r**6 + 26*r - 2*r**y wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 410484976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1.58, 51, -2 in descending order.\nAnswer: 51, 4, 1.58, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(132)*-1)\/(sqrt(588) + sqrt(588) + (sqrt(588)*2 - sqrt(588))).\nAnswer: 4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 282429 and 14?\nAnswer: 564858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l + 8*l - 29*l + (0 + 4 - 2)*(3*l - 2*l + 10*l) to the form k*l + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 98242.41kg in nanograms?\nAnswer: 98242410000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175 + 1400 = 3*a. Suppose 17*r - 921 = 3*u + 10*r, -1561 = 5*u - 3*r. Let p = u + a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 329906*o + 0*o**2 + 11*o**2 + 0 - 329906*o + 0.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - -0.160616.\nAnswer: -0.039384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, -2\/15, 0.5, -76?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 9309910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 8 = 0, -c - 3*i = -2*c - 6. Let u be 9\/c*4\/3. Suppose 10 = 3*r - u*z, r - 3*z = -4 - 2. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 10:25 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**2 - 6*p + 1. Let z be h(-4). Let s(b) = -b**3 - 22*b**2 + 21*b - 34. What are the prime factors of s(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of -w**4\/72 + 5*w**3\/36 - w**2\/3 - 6*w. Find k such that b(k) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2923 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 11. Let v = 0 + 1. Let d = v - -3. Put -8, d, a in descending order.\nAnswer: a, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (15\/10)\/(1\/(-2)). Let f(n) = 3*n + 4. Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.97 + 0.95. Let g = -4.02 - z. What is the second smallest value in 14, 2\/9, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**2. Let o = -142 - -144. Let x(v) = -1095*v**o - 4 + 1074*v**2 + 4. What is r(x(m))?\nAnswer: -882*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-2))\/3*10*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0951 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (170 + -177)\/((-4)\/(-8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 5 + 40*n + 11.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.5 - 0.8. Which is the closest to -1? (a) -0.06 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 609 and 36?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes before 7:42 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -24009.33081 + 178?\nAnswer: -23831.33081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2897 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -5.2*-2.7\nAnswer: 14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be -16*((-76)\/24 + 3)*3. Suppose 2*i + w = 4*j, 3*j - 6 = 3*i - 4*i. Solve 0 = -b - j + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226324119 a multiple of 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4*g - 18 = 0. Suppose -88 = z - 5*z. Calculate the lowest common multiple of z and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + m + 4)*(-m - 2*m + m) + (0 + 0 + 2)*(0*m + 0*m - m**2) - 4*m**2 + 2*m**2 + m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2018 and 606.6.\nAnswer: -122.41188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 3*k = 0. Solve k = 2*w - x + 8, x - 8 = -2*w - 2*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5449\/31, 4\/5, 3, 28, -4\/9.\nAnswer: -4\/9, 4\/5, 3, 28, 5449\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y**(-2\/3)\/y))**(-7\/3)*(y\/(y*y**0\/y)*y)**(-10\/17) assuming y is positive.\nAnswer: y**(-1132\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b**3 + 83*b**2 + 28*b = 0. Calculate b.\nAnswer: -1\/3, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/10)\/(1\/(-5)). Suppose 4*y + 4*b = -332, -9 = -5*b - 4. Let d be (y\/(-168))\/(1\/8). Solve 3*s + 7 = -4*r, -5*r + g*r = d*s + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l + 75. Let a = 114 - 101. Let d be s(a). Let n = 27 + -15. Calculate the greatest common factor of d and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -1514610 (c) 2\/19 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-513)\/(-114))\/(2*3\/760)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4\/16*0)\/(-2). Suppose t = j - 1 - 0. What is the derivative of -j - 3 - 3*x**3 - 2*x**3 wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j = 16, -5*j + 434 = 3*k - 0*k + 441 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + 0 + 7 + -1 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 + 113521612.\nAnswer: 113521611.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 30176 and 0.62.\nAnswer: 30176.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z = -301 - 301. What is the first derivative of 5 + z*t + 18 - 116*t wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -1154*q + 51659. Give k(45).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1027909, 2055818, 3083727?\nAnswer: 4111636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -0.5, 13, -6, 6 in decreasing order.\nAnswer: 13, 6, 2, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3654 - -19?\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.58 - 5.42. Put h, -0.4, 0.5 in increasing order.\nAnswer: h, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 4, -2, 321.79 in ascending order.\nAnswer: -5, -4, -2, 4, 321.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -3b7592?\nAnswer: -3b7597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, w: 1, e: 6, u: 3, a: 3}. What is prob of sequence qu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 534 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 70\/6471 and 111\/7190.\nAnswer: 64710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 584 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) -0.036 (b) 2 (c) -1\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 131263885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 63 = 5*r - 2*r, 2*r - 4*u = 12. Let o(i) = -i**2 - 7*i + 4. Calculate the smallest common multiple of o(-5) and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 726274 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 8*k - 13*k. Suppose 2667 + 593 = k*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h**5 - 9*h**4 + 3*h**3 + 9*h**2 = 0 for h.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1976 - -3877\/2. Let b = g + 541\/16. Let n = 1183313\/260060 + -2\/13003. Calculate the common denominator of b and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 581 or 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-250)\/(-1650))\/(5\/3). Let z be (1\/1)\/((-2)\/2). Which is bigger: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6347372?\nAnswer: 2, 887, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2428*s + 4855*s - 16 - 2443*s)*(1 + 0 + 0) to y*s + m and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 1103 divide 2436991363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 877*d - 11261. Give c(14).\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = -w - 9, -5*w + 4*w - 5*j = -11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*o - 729 + 183 = 0, -4*y = -o - 420. Suppose 2*s - y = 5*d, 2*s - d - 122 = -0*d. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 + 15)\/((-5)\/((-15)\/6)). Suppose -5*c = -c + 84. Let u be (c + 1)\/(1 - 2). What is the highest common divisor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31495 = 26*l - 331483. List the prime factors of l.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -3948?\nAnswer: -19740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -2*r + 168. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((4 + sqrt(425) + 0 - sqrt(425))**2 - (4*(sqrt(68) + -5))**2).\nAnswer: -1477 + 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5.7869um in nanometers?\nAnswer: 5786.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 - 21*g + 75. Let m be d(18). Let h(f) = 6*f + 2. Suppose 5*i - i = -x + 18, 5*i = 4*x - 114. What is the remainder when h(m) is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.77 - -0.5. Let o = d + -0.17. What is o rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p. Let n(w) = -978*w**2 + 4. Determine x(n(b)).\nAnswer: 1956*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -8*x**2 + 7*x - 8. Let i(z) = -z**2 + z - 1. Suppose -4*f = 4*c + 28, 4*f = -3*c - 10 - 12. Let n = 18 + 6. Let r = n - 23. Give c*i(u) + r*h(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 290603960 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**2)**(13\/2)\/(j\/j**(-11)*j\/(j\/((j\/(j\/(j*j*j\/(j\/(j*j\/(j*j**(-2\/7)))))))\/j))) assuming j is positive.\nAnswer: j**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 5 = 2*i. Suppose 2*h - 8*t + 3*t = 16, i*h + 5*t - 5 = 0. Let x = -2 - -4. What is the second biggest value in x, -1, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - -2d23404?\nAnswer: 2d23402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (4584\/12224)\/((-6)\/(-56))*(-8)\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -609 bigger than -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 0.1. Let n = g + 2.4. Sort n, -1\/19, 0.4 in increasing order.\nAnswer: -1\/19, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 + -2. Suppose 2*s + 4*w = 3*w + 4, -2*w = 2*s - 6. Calculate the highest common factor of s and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15 + 17*j - 14 + 32.\nAnswer: 17*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, s: 1, c: 1, x: 1, a: 1, f: 2}. What is prob of sequence xfc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2848 is divided by 89?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 7*h - 180. Let q = -60 + 32. Let d = 52 + q. What is the greatest common divisor of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -243260, -486580, -729944, -973346, -1216780, -1460240?\n\"Answer: g**3 - 28*g**2 - 243243*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -112 - -5. Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-14)\/g**(1\/14) assuming g is positive.\nAnswer: g**(-197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -22.91 * 5.\nAnswer: -114.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 49*-6*(-90)\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*d + 121*d - 186 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 16\/(-10)*5\/(-4). Let j(l) = 2*l**2 + 11*l + 2. Let w(s) = -6*s**2 - 34*s - 6. What is v*w(q) + 7*j(q)?\nAnswer: 2*q**2 + 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2.349066l in millilitres?\nAnswer: 2349.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 7*w**3 + 3*w**2 - 3*w - 3. Let z(q) = -q**3 - q**2 + q + 1. Let r = -55 - -56. Calculate r*u(m) + 3*z(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 33*j - 18. Let g(r) = r - 1. Let h(l) = -18*g(l) + z(l). Let n(b) = 2*b**2. Calculate h(n(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-70)\/(-21)*(-3)\/(-2). Let t be (7*-1*-3)\/1. Solve h + 2*h + 3*z - t = 0, 3*z - 27 = -r*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6318)\/(-585) - (-2)\/10. Let y(w) = -w**2 - 5*w + 14. Let d(r) = 2*r - 5. Determine i*d(n) + 4*y(n).\nAnswer: -4*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 806284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2836*g + 52430. What is q(-18)?\nAnswer: 1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37 - -30. Let m(q) = -3*q**3 + 5*q**2 + 3*q - 5. Let o(z) = 4*z**3 - 7*z**2 - 4*z + 7. What is u*m(k) - 5*o(k)?\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 14*c - 169. Let y be k(16). Let b = -19\/15 - -8\/5. Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + (-1 - (-3 - -2)). Let n(o) = -3168*o**2 + 0 + 0 + 3164*o**2. Let c(z) = z**2. Let i(f) = j*n(f) - 9*c(f). Let r(g) = -3*g**2. Determine r(i(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 146*z + 8241 = -144*z + 12301 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 17, 6, -4, -66, 1 in increasing order.\nAnswer: -66, -4, 1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-1))\/(9270\/18540)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1196694 divided by -66483?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3828 is divided by 1418?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -148*q + 2. Is c(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1238327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 537925346 to the nearest ten thousand.\nAnswer: 537930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/2055 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 4 + (14 - -4) + -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -480 and 0.3.\nAnswer: -479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 39.32 * 14\nAnswer: 550.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the second derivative of m**3\/3 - m**2 + 2*m. Let i(z) be the first derivative of 3*z**2\/2 - 4*z + 2. Let f = 50 + -46. Determine f*i(r) - 7*w(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 - 23 - (104 + -97 + (1 - 1) + -24).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 4*n + l, l = -2 + 3. Suppose -15*c + 8 = -11*c. Let p(h) = n*h + 6 - h + h**c - 8*h**2 + h**3. Calculate p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 323, 2, 12, 4 in increasing order.\nAnswer: 2, 4, 12, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -668852 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 154253 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -2*x**3 - 17*x**2 + 24*x + 9. Let h(r) = r**3 + 9*r**2 - 12*r - 4. Let o(v) = 3*b(v) + 7*h(v). Determine o(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**22\/p**4 assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-2\/3)\/v)\/v)**(6\/7)*v**(-10\/3)\/(v*v**(-3\/13)) assuming v is positive.\nAnswer: v**(-1510\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, o: 2, s: 3, h: 4, c: 1}. What is prob of picking 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 + 14 = -5*z - h, 0 = 5*h - 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (4 - 6) + 16 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 68 - 46. Suppose -80 = -3*o - 14. Suppose -22 - o = -2*l. What is the least common multiple of l and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y - 11. Let q = -20 - 254. Let l = q - -264. Give w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, 906, -2\/9, -8, -0.05, 5.\nAnswer: -8, -2\/9, -0.05, 4\/7, 5, 906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(1\/10)*d\/d**7)\/(d*d**0*d*d\/(d\/(d**(-3\/2)\/d))))**8 assuming d is positive.\nAnswer: d**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*y = 5*m - 51*y + 9, -4*y - 18 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 35146*f - 928. Let o(s) = 7029*s - 192. Determine 6*l(v) - 29*o(v).\nAnswer: 7035*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -513.13 rounded to 0 dps?\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24, -197, -778, -1899, -3740, -6481, -10302, -15383?\nAnswer: -21904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -4, -5 in decreasing order.\nAnswer: 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (10 - 9) + -4 - 11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + 5*q - 3. Let o(w) = -3*w**2 - 13*w + 8. Let l(r) = -6*o(r) - 15*s(r). Let c(n) = 12*n**2 + 13*n - 12. Determine 2*c(v) - 9*l(v).\nAnswer: -3*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9863059, 19726121, 29589183, 39452245, 49315307?\n\"Answer: 9863062*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*i**5*l + 2808*i**2 - 1623*i*l - 60*l wrt i.\nAnswer: -100*i**3*l + 5616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.01, -4, -13, 527.\nAnswer: -13, -4, -0.01, 1, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 572 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 36, 48, 60, 72, 84?\n\"Answer: 12*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g + 5*q - 105, 2*g - 5*q - 57 - 98 = 0. Solve 115 = -10*i + g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 145*w - 800. Determine f(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-2 + (4 + (-2*sqrt(2057) - sqrt(2057)) + sqrt(2057) - sqrt(2057) - -2*(sqrt(2057)*-2 + sqrt(2057))) + -1) + 0)**2.\nAnswer: -990*sqrt(17) + 462834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -225.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddvv when four letters picked without replacement from {v: 5, d: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cooc when four letters picked without replacement from {c: 4, o: 12}?\nAnswer: 33\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 13*h**2 + h. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5396 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 663 divide 1127763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 20*l + 15. Let f(j) = -1515*j**2 + j + 3. Give k(f(u)).\nAnswer: -30300*u**2 + 20*u + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-12)\/(-18) + (-7)\/(-3). Is w greater than 31\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003596302 rounded to five decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1396 or 1399?\nAnswer: 1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.9 - 0.1. Let n = 8125\/4 + -2030. Which is the closest to 0? (a) 7\/3 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 - (-1 + (-16)\/(-4) - 0). Let t(s) = -s**3 - 2*s + 1143. What is the units digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**5 - 3*b**4 - 10*b**3.\nAnswer: b**3*(b - 5)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -5*c**2. Let y(m) = 229088*m**2. Calculate s(y(r)).\nAnswer: -262406558720*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 - (-4 + 56\/10). Let z = 0.106 - 0.006. Sort 5, z, t, -4.\nAnswer: -4, z, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of 61*g**3\/6 - 29*g**2 - 17*g. Let r be k(1). Let y(p) = p**2 - 2*p - 7. Determine y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 3) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*v + 229*v - 2810 - 590 = 0 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 16) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/30 and 59\/409535841?\nAnswer: 4095358410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 711 (b) -0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 0*t - 220 = 0. Let n(o) = -11*o. Suppose 11*w + 108 = -2*w - 5*w. Let j(l) = -100*l. Give t*n(s) + w*j(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4411, -6478, -8545, -10612, -12679?\n\"Answer: -2067*m - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -q - 2*l, 9*q - 6*q + l - 10 = 0. Let y be (2\/(-2))\/((-1)\/2). Let v(w) = -7*w + w**2 + y + w**3 + 0*w**q + 6*w. Determine v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.5372 - 0.3372. Which is smaller: 21\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) 5 (d) 133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 14\/9 (c) -20 (d) -0.2 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 13*x - 8*x + 3*j, -2*j = 2*x + 2. Let c be 3\/(-9) - 1\/(-3). Solve c*i + x*i = -2*s + 10, -2*s = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 - 2*q - 8. Let p be c(-5). Let o = p - 69. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5701728 (base 10) to base 5.\nAnswer: 2424423403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 62645350 and 43851745?\nAnswer: 438517450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, x: 3}. What is prob of picking 1 x and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 5*d - 1112 = -9*d, 0 = 2*z + 4*d - 440. Is 36 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 26*k + 3. Let d(f) = -20*f - 2. Let r(a) = 7*b(a) + 9*d(a). Let h(z) = -8*z - 13. Give 2*h(n) + 9*r(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-44)\/143)\/((-2)\/26). Which is the closest to 0.2? (a) -2\/5 (b) v (c) -0.1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*y**3 - 160737*y**2 + 11*y - 1155550?\nAnswer: 6*y**2 - 321474*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1389, -1427, -1455, -1467, -1457, -1419, -1347, -1235?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**5*s**2)**(-4))**(20\/7))**(-18) assuming s is positive.\nAnswer: s**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 35*b**3*q**2 + 14*b**3*q - 16*b**3 + 8*b - 1 wrt q?\nAnswer: 70*b**3*q + 14*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r**3 - 2*r**3 + 2*r**3)*(2*r - r - 2*r) - 1916*r**4 + 4*r + r + 1931*r**4.\nAnswer: 12*r**4 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 0 - 4. Let z(v) = 4*v - 5. Let o(t) = -t + 1. Let w(m) = 9*o(m) + 2*z(m). Let b be w(1). Is a greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1114 - 1138.975. Let m = -0.025 + c. Let j = m + 25.1. Is 0.11 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 5*j. Let z(n) = 12*n**2. What is z(u(c))?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x = 2*x - 30. What is the units digit of 146*(x\/(-15) + 0)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 - 16*w - 11. Let r(o) = -o**2 + 7*o - 4. Let s be r(8). List the prime factors of a(s).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/(-2))\/(10\/32*1604\/(-7619)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -73.9 - -74. Suppose t + 5 = -0*t + s, -3*t = s - 5. Which is the closest to t? (a) q (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13 and 66144?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -489.002 minus 8193?\nAnswer: -8682.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 z, and 1 d when three letters picked without replacement from dznzddndzo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 4\/9943?\nAnswer: 4\/9943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -95544*f**3 + 3475*f**2 + 380023*f - 189?\nAnswer: -573264*f + 6950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -17e431f + -5?\nAnswer: -17e4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 22 = -p. Let n be (-16)\/(-14)*p\/8. Suppose -n*h - h = -170. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyyyhyyhhhyh. What is prob of picking 1 y and 1 h?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1611836 - -1611838.5999995. Let x = 2.53 + -5.13. Let s = x + b. What is s rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 2\/(48\/(-9) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 706887*i + 1053 = 706914*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 417695?\nAnswer: 5, 139, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*p + 650 - 143*p**2 + 647 + 647 - 1944 + 142*p**2.\nAnswer: -p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122 - 248 + 126 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -1, -1\/5, 1, 2298.7, 1\/4 in descending order.\nAnswer: 2298.7, 1, 0.5, 1\/4, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.2 + -3. Let g = 0.049 - -3.951. Which is the closest to 0? (a) z (b) -2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/((8\/460)\/(21\/(-35))).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 804471.3 nanometers to millimeters.\nAnswer: 0.8044713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9313602 centimeters in meters?\nAnswer: 0.009313602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 168*o**2 + 50*o**2 - 17*o**2 + 115*o**2 + 5*o to the form f + r*o + t*o**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -399873\/56 + 7140. What is the common denominator of v and 67\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/((y**(-3\/7)*y*y)\/y))**(-12))**(-34))**(2\/71) assuming y is positive.\nAnswer: y**(2448\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*j - 14420 = 15*j + 57*j. Is 4 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 848070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 PM and 8:29 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -221120002?\nAnswer: 221120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1944307 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 5 = -7*f - z + 2 + 2, -55*z - 10*z + 6*z = 295 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60 - (-14 - -26) - 23.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19\/7? (a) 3 (b) 0.1 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.12 in 4, -1\/3, -2\/5, -1.9, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -108*p + 2. Let r be q(7). Let k = 753 + r. Which is smaller: k or 34?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2464631, -4929251, -7393869, -9858485, -12323099, -14787711, -17252321?\n\"Answer: l**2 - 2464623*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2*a + 4*a - 3*a)*(-3*a + 4*a - 3*a) + 49*a**2 + 17*a**2 + 74*a**2)*(-2*a + 2*a - a) as y + x*a**3 + t*a + m*a**2 and give x.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**2 + 0*b**2 + b**2 + (1 - b - 1)*(-2*b + 3*b - 2*b))*(4 + 4*b**3 - 4).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1020524 divided by 2477?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -200 + 299. Suppose -414*n = -417*n + v. Calculate the highest common divisor of 44 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000617376 to 6 dps.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.005, 3\/16, 8, -1\/4, 3 in decreasing order.\nAnswer: 8, 3, 3\/16, -0.005, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 40d + -6?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 4*h**4 - 496*h**3 + 5048*h**2 - 8624*h + 4068 = 0. Calculate h.\nAnswer: 1, 9, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(-82*u - 60*u + 55*u)*((-3*u + 3*u + 2*u**3)*(-u - 1 + 1) - 3*u**4 - u**4 + 2*u**4 + 5*u**4 - 5*u**4 - 2*u**4).\nAnswer: 522*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 6*v**2 + 2*v - 8. Let q be i(6). Suppose 0 = 14*l + 38*l + 27*l - 1027. What is the remainder when (q\/2)\/((-2)\/(-64)) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 1\/5, 4, 6.\nAnswer: 1\/5, 2\/7, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 28 = -c. Let l be 0\/(c + -4 + -4). Suppose -2*x + u + 52 = l, 102 = -0*x + 4*x - u. Solve 6*k - k + x = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 PM and 9:07 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 3*p = 3524, -2*f + 4*p + 1175 = -219. Calculate the greatest common divisor of f and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 != 235\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -3 + (sqrt(288) - (-4 + sqrt(288))) + -1 + ((sqrt(288) - 2*sqrt(288))*-1 - (sqrt(288) - (sqrt(288) - (-4 + 1 + sqrt(288))))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 5*q + 2. Let h(c) = 33*c + 3 + 5 + 9 - 24 + 8. Give h(u(m)).\nAnswer: 165*m + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a - 2400 = -13*a. Let s(v) = -a - 18*v + 480. Let f(d) = 3*d**2. Calculate f(s(p)).\nAnswer: 972*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/2*i**2 + i + 1\/2 = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 132557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of b**6\/135 + 16*b**5\/45 + 61*b**4\/54 + 10*b**3\/9 + 2020*b. Factor r(d).\nAnswer: 2*d*(d + 1)**2*(d + 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 76646241.\nAnswer: 3, 7, 151, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 - 1400*h - 5569. Give i(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**2 - 4*c - 9. Let x be f(7). Let s(b) = -38*b - 15*b + x*b + 4 + 0. Is s(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 - 6*z**2 + 2*z + 9. Let f be k(-6). Let y be (70\/8)\/(f - 14262\/(-4752)). What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 5*d + 8 = 0, 5*d = 3*j + 4 + 2. Let i be (-3655)\/17*(0 - j\/(-5)). Let t = 103 - i. Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (10\/135)\/((-2)\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2441218 and 6526.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = 14093*j - 14089*j + 4, -79*j + 4 - 55 = z + 28 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 4*b - 21 = 67, -p - 54 = -3*b. Let w be (3\/(-2))\/((-18)\/p). Let y be ((-18)\/w)\/(12\/64). Calculate the greatest common factor of 72 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -29*i - 223. Give l(0).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -273362, -268976, -264590, -260204?\nAnswer: -255818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33 + -3 + -36 - (-1 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 2222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 293 - 295. Put 1, j, -3, -1 in ascending order.\nAnswer: -3, j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1219212218.\nAnswer: 2, 7, 1579, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 83 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 3*h + 5. Let g = h - 1. Calculate the remainder when 10 is divided by (3 + g)*2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4\/3 + 13\/12. Let n = 28 - 18. Let t = 51\/5 - n. Which is the third smallest value? (a) v (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-1292))\/(13*176\/(-19448))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**3 - 4*i**2 + 6*i + 4. What is j(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, 1\/14, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/6 + (-12129)\/(-9). Let k = -3974\/3 + m. What is the common denominator of k and ((-308)\/(-147))\/(2\/(-6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 + 3*x. Let w be y(3). Let m(j) = -j**3 + 1. Let l be m(w). Let k = -9 + 16. Calculate the highest common divisor of k and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3.346691 minutes?\nAnswer: 200.80146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2114 = -b + 160. Suppose 3*z + 2*h = -2*h + b, 0 = 4*z - 5*h - 3032. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 602937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-2)\/((-24)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*m**3 + 3 + 6 + 3*m**3 + 3*m**3 to the form n*m + d*m**3 + z + b*m**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 - (-10 - ((-58 - -60) + (2 - 14)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8782?\nAnswer: 2, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 534 * 7\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*s - 37459 + 12627 = -68*s. Is 97 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 + 19.7. Let w be (1\/(-12))\/(-8 + 696\/36 + -11). Sort 0.1, w, t in ascending order.\nAnswer: t, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 - -49. Suppose 21*d = 19 + r. Solve 21\/2*c**3 - d*c**2 - 21\/2*c + 3 = 0 for c.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = r - 6, 5*b = -2*r + 7 + 20. Solve w + 7 = b*i, 4*w + 2*i + 4 = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 4*i + 84, 3*d = 6*d + 2*i - 68. Suppose 4183*s - 4203*s + 80 = 0. What is the remainder when d is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 321158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = m - 3*g - 7, 0 = -3*m + 3*g + 18. Determine z, given that 0*z + 0*z**2 + 0 - 16\/11*z**4 - 32\/11*z**3 - 2\/11*z**m = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 1 + 1 + (56 - 55).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be -5 + 1 - (-6 + -3). Solve 0*x = w + x - 4, 0 = 2*w + 5*x - l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 0, 3, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -399143 (base 15) in base 6?\nAnswer: -135130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*d = -36*d - 57 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82906460 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 216 + -99 + 10 - 128?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + (-18 - (2 - -9 - -2)) - -12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1872 is divided by 453.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vnvnnn. What is prob of picking 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 6*y - 8. Let d(r) = -4*r + 5. Suppose 9 = -a + 5. Let q = 8 + a. Suppose -5*w - 3*v = 28, -q*w - 2*v = 2*v + 24. Give w*h(z) - 8*d(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-72*s - 5353*s**2 + 36853*s**2 + 72*s - 4223*s**2)*(s**2 + 0 + 0).\nAnswer: 27277*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 - 9*c**2 - 7 + 11 to the form d*c + g + v*c**2 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2060314 (base 7) to base 15\nAnswer: 4e077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 + 10.9. Let b(g) = 40*g + 9201. Let z be b(-230). Put z, -0.06, n in ascending order.\nAnswer: n, -0.06, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*o - 63*o - 21*o - 3*o**3 + 85*o - 27*o - 26*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 115, 419, 913, 1591, 2447, 3475, 4669, 6023?\nAnswer: 7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 5968 - 14121 = 17767. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 107672824.\nAnswer: 2, 7, 29, 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-318)\/45)\/(-53)*(252\/(-16))\/7.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.32 (b) 75 (c) 9826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 94409 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -1040*r**3 - 8*r**2 + 9*r + 5. Let a(l) = 1039*l**3 + 10*l**2 - 12*l - 6. Calculate 3*a(b) + 4*f(b).\nAnswer: -1043*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/153314 and 97\/19082?\nAnswer: 4446106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 0*o = 0. Let w(h) be the second derivative of h**4\/24 - h**3\/3 - 113*h**2\/2 + 95*h. Let u(j) be the first derivative of w(j). Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13321774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 64218 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 + 15.6. Suppose -3*t = -0*t. What is the closest to t in g, -3\/2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = 2*s - 3*x - 3, -3*s - 3*x = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -60.2 - -3.2. Let a = -56.33 - v. What is a rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -23*l + 100. Let m(h) be the third derivative of h**4\/12 - h**3\/3 + h**2. Does 2 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/52 >= -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 5962, 1\/3?\nAnswer: 5962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2*x**2 + 80*x + 83. Let l be z(-39). Which is the third biggest value? (a) -1\/123 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-7 - 95\/(-15))\/((-20)\/930). Solve b = -2*z + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -7257\nAnswer: -1\/7257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 14, 263636 in decreasing order.\nAnswer: 263636, 14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*x = -8, -5 + 22 = 5*t - 4*x. Let p(q) = 494*q**3 - q**2 + 4*q - 3. Is p(t) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 72 - 92 = 10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mvrmvpdypvvypymypy. What is prob of picking 2 m?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -571\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2434999227*u**3 + 7*u**2 + 2434999195*u**3 - 7*u**2.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-266)\/(-8) - -1 - 4\/16. Suppose -u*h + 36*h = 8. Solve 0 = h*g + 10 + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4401 + 8801\/2. Which is the nearest to 0? (a) l (b) 5\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1928\/45 - -65737\/1530. Let w = u + -1\/102. Let y = -56 + 57. Is w less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -25\/12 - -349\/156. Let a be -1 - -3 - 8 - (22536\/(-468) - -42). Suppose 4\/13*t - m*t**2 - a = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -6408+-3\nAnswer: -6411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-79 + 79 - 8*o + (2 - 1 + 0)*(-3 - 2*o + 3))*(3*o + 2*o - 7*o) to the form s*o**2 + w*o + i and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of p**8\/168 + p**7\/105 - 91*p**6\/30 - 222*p**5\/5 - 162*p**4 + 1152*p**3 + p**2 + 157*p. Determine r, given that n(r) = 0.\nAnswer: -6, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -196*b + 2993 - 4561 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 5*j**2 - 19*j**2 + 4*j**2 + 2 - 19*j**2 as i + q*j + g*j**2 and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 146 = v. Let p = 108 - v. Calculate the remainder when p is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-20*u**3 + 12 - 12)*(-9 + 0 + 4)*(0 - 1 - 1) to the form v + y*u + k*u**3 + j*u**2 and give k.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23936*a + 11967*a - a**2 + 11969*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(50))**2 + sqrt(2) + -2 + -2.\nAnswer: sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 6*y = -282. Suppose 77 = -5*s - 88. Let n = s - y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4919647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {c: 1, r: 4, e: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 286 + -146. What is the greatest common divisor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1342350*4.\nAnswer: -5369400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -180*k + 41795 - 298535 = -8738*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - -13312?\nAnswer: 13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1853.64069+72.45\nAnswer: -1781.19069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least -2955\/9668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-5)*((-5)\/(-3) + 0)\/((-2829)\/207)?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 - -34. Suppose 3*s = -5*o + 45, 2*s - 47 + n = -4*o. Let q be (-3)\/o - (-4)\/12. Solve 2*p - 7*p + 28 = 2*r, -5*p - 5*r + 40 = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18850 and 8000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d + 5*d + d)*(-1296 + 10*d + 653 + 651).\nAnswer: 10*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 12, -1, -331, 5, 3 in increasing order.\nAnswer: -331, -3, -1, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - 5. Let k = 2 - w. Suppose 0 = u - 2*x - 26, k*u = 3*u - 2*x + 14. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -765 + 2006. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2967 divided by 2967.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 - -92. Calculate the smallest common multiple of ((-21)\/(-56))\/((-49)\/(-8624)) and g.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 198571\/19372 - 2\/4843. Let o = -10 + n. What is the second smallest value in o, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.006 times -5062\nAnswer: -30.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -95 - -102.1. Let h = w + -1.2. Let l = 6 - h. Which is the third biggest value? (a) 4 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - o**2 + 3*o - 2. Let j be q(-3). Solve -4*v + 12 = -j*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12288324 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18.001 - -0.001. What is the smallest value in -5, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 59\/5 of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 64 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34504743 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 10) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1003023 (base 4) to base 16\nAnswer: 10cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 313 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 - 7*j**2 - 9*j. Let v = 8 - 0. Let x be s(v). What is the units digit of x\/(-2) + (-1)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1382 > 42820\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from xxxxxxxeexeel.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 0 - 2 = 0. What is the units digit of k\/(2\/1) - -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 + h + 1. Let a(j) = 8 + j - 4*j**2 - 5*j**4 + 2*j - 5 + 4*j**4. Let r(c) = -a(c) + 3*u(c). Find the third derivative of r(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m + 5. Let l be i(-7). Suppose -r + f = -2*f + 12, -f = -r - 4. Suppose r*a + 19 = a. Calculate the greatest common divisor of l and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 23 + -22. Let z(x) = -1 + 42*x + g - 3 + 0. Is z(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (-4 - 2) - -1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbbbbkbkbbbb. What is prob of sequence bk?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j**3 - j**2 + j + 1. Let u be f(2). Let r = u + -11. Suppose 0 = 2*b - 6 - 0. Calculate the least common multiple of b and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60\/(-42)*217\/62.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of -761*v**3\/3 + 943*v**2\/2 + 1178. Find the second derivative of o(k) wrt k.\nAnswer: -1522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -12*d**2. Let k(i) be the first derivative of 141*i**3 - 4933. Calculate p(k(v)).\nAnswer: -2147148*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from sarsqppm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 1\/4 (c) -2\/11 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.139159 and -4558178.\nAnswer: -4558177.860841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 10:04 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28011438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -0*d + z + 121, 5 = -z. Put d, -2, -5 in descending order.\nAnswer: -2, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/(-7)*((-30)\/4)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*c - 229*c + 7293 = 357*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 11160298403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -39 - 1726?\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 440 divide 234946210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/36*6\/7 + 600\/(-1610)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 14*f**3 - 36*f**2 + 35*f + 4. Let n(g) be the first derivative of -5*g**4\/4 + 4*g**3 - 13*g**2\/2 - g - 41. Let y(d) = 6*h(d) + 17*n(d). Give y(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1169395, 1168833, 1168271, 1167709?\nAnswer: 1167147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111*s**2 - s**3 - 20 + 1000*s**2 + 18 + 77.\nAnswer: -s**3 + 889*s**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - 6. Let i(o) = o**3 + 8*o**2 - 6*o + 4. Let g be i(k). Let f = g - 34. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.8? (a) 128 (b) 5 (c) -17 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: -233\/649812 or -1?\nAnswer: -233\/649812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 PM and 11:57 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - 0) + 18\/(-2). Let k be ((-27)\/(-12))\/9 + 42\/(-8). Let x be (9 + -1)\/(0\/k - 1). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3c - -6?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-1*sqrt(162) + -2 + 3*(sqrt(162) + -1))*6)**2.\nAnswer: -233280*sqrt(2) + 872208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 12, 76, 23, 5, -0.3, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 222117*-0.03\nAnswer: -6663.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**12*r\/(r*r\/(r*(r\/r**(-30))\/r)))**(2\/85) assuming r is positive.\nAnswer: r**(84\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j - 2*j - 28 - 205 + 12 - 8*j. Let t be p(-25). Solve -t*o = 2*h - 1 + 5, -3*o + 3*h - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-14)\/(-2) + 241 + 13. Let w = h - 254. Suppose 5*s - 1 + 16 = 0. Put -5, w, s in increasing order.\nAnswer: -5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**2 + 2*z + 11. Let h be p(-4). Let q(s) = -s**3 - 11*s**2 + 22*s - 22. Let c be q(h). What are the prime factors of 5 + c + 4\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wiiwwwiwwiii. What is prob of picking 1 w and 2 i?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -123300440 (base 5) to base 7\nAnswer: -5061506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92353?\nAnswer: 92353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 381 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -5*y - 73. Let i be d(-15). What is the common denominator of 29\/(-6)*i*(-4)\/(-12) and -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2\/669 + -1328\/3345. Which is the smallest value? (a) y (b) 1\/2 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/35 + (95\/(-25) - -4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**7\/(t*(t*t**(1\/3)*t)\/t) assuming t is positive.\nAnswer: t**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1, -11, -35, -79, -149, -251, -391?\n\"Answer: -k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -4*v**3 - 2*v**2 - 2*v - 1. Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 89 + -14fe2?\nAnswer: -14f59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -645.487 - -1.487. Let y = -644.000469 - f. Round y to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z**0\/z*z))**(-45)*(z**(-1))**(1\/9) assuming z is positive.\nAnswer: z**(-406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 871 and 13073.\nAnswer: 11386583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.042, -2, -1\/33, -1\/4, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17008 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15306, 30664, 45968, 61212, 76390?\nAnswer: 91496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + -615?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -29 - -29. Solve 0 = -c*o - o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, h: 2, l: 2, w: 1, z: 2}. Give prob of picking 1 w and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2 + 3)*((3 - 3 + 2*j)*(7 - 9 - 13) + j - j - j) in the form u*j + b and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, j: 1, u: 2}. Give prob of picking 1 j, 1 v, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (78\/(-2))\/(1 + (-28)\/16) is divided by 2\/((-12)\/(-81))*2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 120 = -336. Differentiate 2*a**3 + 62 - 5*a**3 - w + 29*a**3 with respect to a.\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, v: 1}. Give prob of picking 2 y and 1 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/160)\/(270\/(-1125)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*s - 20*s. Suppose s*q - 3*u = q - 34, 0 = 3*u + 3. Suppose 0 = -m + q + 12. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 46390 + -29140. What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from wywwyyywwy.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange h - 4*h**2 + h**2 + 42*h**3 - h**2 + 1 + 7*h**2 to r*h**3 + o*h + c*h**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 24239474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-8)\/(-72) - (-4)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (8*v - 3*v + v)*(0 + 2 - 3) + (5*v - 2*v - v)*(-683 + 127 + 974 + 1401) in the form i*v + u and give i.\nAnswer: 3632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*u**3 + 4*u**3 + 12*u**3 - 21*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 17337075 and 3467415?\nAnswer: 17337075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28532919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3\/10 + 1279*g**2\/10 - 13827*g\/5.\nAnswer: -g*(g - 1257)*(g - 22)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -2169*z + 8640. What is the units digit of t(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/7? (a) -0.5 (b) -140863 (c) 0.4 (d) -1\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5385303 divided by -1.\nAnswer: 5385303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n - 4. Does 4 divide p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:50 PM and 5:34 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 99, 124, 201, 360, 631?\n\"Answer: 5*a**3 - 4*a**2 + 2*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**3 - 37*a - 21. Calculate c(-7).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j - 693 = 635. Calculate the remainder when j is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 781864 and 3672.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 353520494?\nAnswer: 2, 53, 3335099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/5 + 10276*i\/5 + 13199522\/5.\nAnswer: 2*(i + 2569)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8153, -33975, -77049, -137399, -215049?\nAnswer: -310023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -5*d + 6 + 27, d + 4*j = 3. Let s = d + -1. Suppose -100 = -3*m - 5*b, b = -m + s*b. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 - 24. Let d = -1509 - -3019\/2. Let j = 1952\/13 + -150. What is the closest to b in j, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*i - i - 34*i + 2.\nAnswer: -27*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wa when two letters picked without replacement from vkbkamw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.02 (b) 3\/7 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 31, -0.4, 5.78 in decreasing order.\nAnswer: 31, 5.78, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -8bc5 (base 15) in base 2?\nAnswer: -111001111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 0, 4, -5 in ascending order.\nAnswer: -9, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -155 (base 12) to base 16.\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 25 = -145. Let y = s - -53. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 - 2. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002613387723 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxxxxxc. Give prob of picking 2 x.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01 plus 0.1274811?\nAnswer: 0.1174811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - 121066612?\nAnswer: -121066616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -1298*m**2 + 7690654*m\/3 - 7900\/3.\nAnswer: -2*(m - 1975)*(1947*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**2 - 57*r - 20. Let t(q) = -4*q**2 - 47*q - 18. Calculate 3*d(p) - 4*t(p).\nAnswer: 10*p**2 + 17*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1110811, -2221620, -3332429, -4443238, -5554047, -6664856?\nAnswer: -7775665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(13) - (sqrt(13) - 3*(sqrt(13) + (sqrt(13) - sqrt(117))) - sqrt(13)) - (sqrt(208) + 0)) + 5*(-4 + sqrt(208)))**2 + -2.\nAnswer: -560*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m**3 + 9*m**2 - 7*m + 23. Give q(-7).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 80850 = -42637*k + 44947*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the second derivative of y**4\/12 - y**3\/6 - y**2\/2 - y. Suppose 13*v + 8 = 9*v. Give p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2))**(3\/2)*s**(-8)*s**10*s assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -79 + 75. Is 41 a factor of (-11)\/((-11)\/y) - -291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a**3\/8 - 5*a**2\/8 + a\/4 + 1 = 0. Calculate a.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = -0*h - h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 26514 and 1141084.\nAnswer: 30809268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(i**(2\/9)*i)*i**(1\/5))\/((i\/(i\/i**(2\/15)))\/(i\/i**(-2\/7))) assuming i is positive.\nAnswer: i**(671\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 522562 by 1.\nAnswer: 522562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -562158 rounded to the nearest one thousand?\nAnswer: -562000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (4\/(3 - -1))\/(5\/10) and 1328\/18 + 6\/27.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 167727256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 10, -5*l - w + 64 + 31 = 0. Let x be (l\/3)\/1 + -1. Suppose 8*k + 35 = 3*k - x*i, 5*k = -2*i - 35. Is k not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67149?\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 503935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -161*-0.43\nAnswer: 69.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 - 17*s**2 + 15*s + 14. Let a be o(16). Let u be a + 2\/((-8)\/(-236)). Let j = -32 + u. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + 12 - 4, -n = 2*f - 106. Calculate the least common multiple of n and 85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4633658.24 rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-1) - (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 + 0*t**2 + t**2)*(t - 3 + 3)*(3 - 1 - 1 + 2*t) + 62*t**4 + 350 - 704 + 351.\nAnswer: 66*t**4 + 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10 + 5524550?\nAnswer: 5525000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36764451 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 258233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -131416733 rounded to the nearest one hundred thousand?\nAnswer: -131400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 798 + -494. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, g: 2}. Give prob of sequence sg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -87*q + 172*q - 86*q - 23. Determine h(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 11 = 3*d - 5*i, -5*d - 4*i + 32 = 0. Let o(x) = x**2 - 5*x - 1. Calculate o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 3*f + 6, -f - 4*d - 1 = -3*d. Let n(m) be the second derivative of -1\/15*m**3 + m + 0*m**4 + 0*m**f + 1\/50*m**5 + 0. Factor n(h).\nAnswer: 2*h*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:06 AM and 4:26 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4.0268 + -0.0268. Let g = 37 - 22. Suppose -5*c - g = -2*y, y = -2*y. What is the nearest to -4 in u, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45801 (base 11) in base 13?\nAnswer: 24185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 27 in -0.4, 0.4, 0, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 191862 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 50601, 203800, 459597, 817992, 1278985, 1842576?\n\"Answer: 51299*v**2 - 698*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 94*k - 172*k + 159*k**2 + 111*k. Let v(s) = -10*s**2 - 2*s. Give 2*d(t) + 33*v(t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2 = -2. Sort u, 1, 2 in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 86289*m*s**2 + 49*m*s - 2*m + 21*s**4 - 54852 wrt s.\nAnswer: 172578*m + 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -9*v + 4 - 6*v - 3. List the prime factors of g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7515?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (0 - 1) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -1. Let m(s) = -8*s - 12. Let b(f) = -m(f) + 6*p(f). What is the remainder when b(4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25790 is divided by 6365?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 10*o**3 + 40*o**2 + 2*o + 30. What is the smallest common multiple of m(-4) and 14226?\nAnswer: 156486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 221 - 215. Let p be 86\/10 - 4\/(-10). Calculate the greatest common factor of z and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = 3*c + 12, 14 - 22 = 2*c + 2*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = 16, g - 14 = -723*i + 718*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2022463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (192*i + 129*i**2 - 192*i)*(-3*i - 7 + 7)*(9*i - 10*i + 4*i) as l + s*i**2 + v*i**4 + u*i + j*i**3 and give v.\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + 6. Calculate the greatest common factor of k and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - 0) + 4 + -21 + 13 - -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 0, 6, -1, -0.3, 3 in increasing order.\nAnswer: -1, -0.3, 0, 3, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 40.44954 meters to kilometers.\nAnswer: 0.04044954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - 3 - -1 - (-1 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1197)\/182)\/(-19)*22\/(-33)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of g**7\/168 + g**6\/20 + 9*g**5\/80 + g**4\/12 - 268*g. Suppose u(h) = 0. What is h?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 68 = -2*v, -132*v - 63 = -134*v + o. What is the remainder when 71 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5.08 - 5. Let j = -0.38 + x. Let f = j - -0.4. Sort 1\/3, 0, f in decreasing order.\nAnswer: 1\/3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -1.9. Let i = 14 + -12. Let b(u) = u**2 - 2*u + 1. Let s be b(i). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -18*c - 74. Let m be l(-5). Suppose -9*a = -m*a + 3031. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 4*p = -0*y - 20, -3*p = 3*y - 39. Solve -8*n + 4*n - y = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (9401\/68)\/79?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - 2*f**2 - 4*f + 5. Let x be t(6). Solve x = -c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(-2 + sqrt(125) + -3 - 6*-3*sqrt(125))*5)**2 + -4)*3.\nAnswer: -641250*sqrt(5) + 30476238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -2973*a**2 - 3*a - 117. Let h(d) = -2973*d**2 - 4*d - 156. Give -3*h(p) + 4*n(p).\nAnswer: -2973*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 54*n*t*x - 13*n*t - 19*n*x - 2*n - 102*t wrt x?\nAnswer: 54*n*t - 19*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 13*v**2. Let a(d) = -31*d**2 - 8*d + 32. Let q(s) = -60*s**2 - 15*s + 60. Let c(p) = 15*a(p) - 8*q(p). Calculate z(c(t)).\nAnswer: 2925*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 + 6 - -11) + -14 + 32 + -1 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - (-90)\/96)\/(2\/(-6484)). Let d = 203 - c. What is the second biggest value in -5, 0.5, d, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -418, -1374, -2322, -3262, -4194, -5118, -6034?\nAnswer: -6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 153232200 to the nearest 100000.\nAnswer: 153200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -2078, -4181, -6284?\n\"Answer: -2103*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(245) + 1.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 0.05, 3, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, 0.05, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 + 0)*(34 + 9 - 5 - 4*d) to the form p + m*d and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2586, 32961, 63336?\nAnswer: 93711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8233\/286416 - -9\/208. Calculate the common denominator of r and -13\/36.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 8*r. Let f(x) = -6*x + 14. Calculate z(f(s)).\nAnswer: -48*s + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1 + (2 - 1)) - (-20 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 PM and 6:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-4) - (0 - 0). Let i = 624 - 624. Sort t, -3, i in ascending order.\nAnswer: -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -126*m. Let p(k) = 23*k. What is a(p(n))?\nAnswer: -2898*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(39)\/(-4*sqrt(9)\/sqrt(3))*1 + 0 + 3)*-2 + 1.\nAnswer: -5 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Determine h, given that h**3 - 13*h**2\/4 + 9*h\/4 = 0.\nAnswer: 0, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 163\/756 and 31\/31752.\nAnswer: 31752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 29963195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1011100111100 (base 2) to base 8\nAnswer: -13474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -284, 4, 0, -3, -1, -646 in descending order.\nAnswer: 4, 3, 0, -1, -3, -284, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 AM and 10:55 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0.4, 23.8, 0.5, -0.03, -13\/6, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 181324?\nAnswer: 2, 11, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 9:53 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -h**5\/9 - 73954090*h**4\/9 - 455767310295371*h**3\/3 - 2734603639909960*h**2\/9 - 1367301782977936*h\/9 = 0.\nAnswer: -36977044, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 12*d = 259. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 7*v. Let m(f) = -28*f - 255. Let x be m(-7). Let s = x + 64. Let y(g) = -11*g. Give s*y(n) + 8*w(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 6, 55968 in increasing order.\nAnswer: 5, 6, 55968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 768 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*w = 32*w - 3349. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 260 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 57726482, 115452974, 173179466, 230905958?\n\"Answer: 57726492*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 13 - 3 + 1 + 3 + f**3 - f - f**2. What is w(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 9 - 7 = -21*a + 7*a, -b = -4*a - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43081, -86171, -129261, -172351?\nAnswer: -215441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17342115?\nAnswer: 3, 5, 7, 23, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -22276711, -22276705, -22276699, -22276693, -22276687, -22276681?\n\"Answer: 6*y - 22276717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29 - -10. Suppose 0 = -40*v + j*v + 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 0.23, -1, 2\/15, -5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 12*b**3 + 9*b**2. Suppose -5*p = 4*s - 37, -2*s + 4*p = -0 + 14. Let q(k) = 3*k**2 + 8*k**2 - 13*k**2 - 3*k**s + 0*k**3. Determine 9*q(a) + 2*y(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -93*v**4 + 97*v**4 - 20*v**3 - 17*v**2 - 7*v**2.\nAnswer: 4*v**2*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153 a factor of 799975953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 36218130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*q**5 + 0*q**5 - 2*q**2 - q**2 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c = -12*c + 4. Suppose -4*p = c*p - 5*p. What are the prime factors of p - (-1 + -1) - (-960)\/8?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**2 - 26*k - 46. Suppose -2*g = 5*q - 86, 0*q - g = -q + 13. Let d be t(q). Let f = -2 + 27. Calculate the highest common divisor of f and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n + 5*q - 43 = 15*n, -4*n + 3*q = 39. Let y(f) = -f**3 - 6*f**2 - f. Determine y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -853*f + 4420*f + 196500 + 135231 for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6 + -4)\/((-4)\/(-22)). What is the first derivative of 6 + 0 - 4*b**2 + a wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3627780 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-6)*5*981 + (-276)\/184. What is the highest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -125353b + -1?\nAnswer: -125353c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 134\/1885 + 104319\/309140. What is the common denominator of f and 11\/2?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -4, 74632, 5, -3 in descending order.\nAnswer: 74632, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5725, -11450, -17175, -22900, -28625?\nAnswer: -34350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -27) + 1985 + -1981?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 8*x**2 - x + 1. Give l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 54553*d - 818295. Determine h(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 73376281 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*k - 9*k + 4*k)*(-12 - 3 + 1) + 5 - 5 + k + (-4 - 2 + 5)*(-4*k + k + 2*k) + 2*k + 3*k - 4*k + 4*k + 3*k - 5*k in the form m*k + x and give m.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the third derivative of -v**6\/120 + v**5\/5 + v**4\/24 - 2*v**3 - 4*v**2 + 3*v. Let r be d(12). Solve -2*t = -r*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 48\/11 and 79\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -5*c**5 - 157085*c**4 - 256207000*c**3 - 107352662500*c**2 = 0.\nAnswer: -29717, -850, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 - 50*s + 2559. Calculate p(32).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do 1287446 and 1287442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -w**3 + 39286305*w**2 + 8*w - 1095048 wrt w.\nAnswer: -6*w + 78572610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 9.324705 nanometers?\nAnswer: 0.000000009324705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of -51 + 46*z**2 - 39*z**2 - 5*z + 10*z**4 + 2*z. What is the second derivative of o(t) wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (14\/2 - 2)*11. Let k(b) = -2*b**3 + 2*b**2 + 207*b - 105. Let o be k(10). What is the greatest common factor of i and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5079161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -123 (b) -0.13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + (-4 - 3) + 15. Let z = 7 + -5. Suppose 0 = -3*d + 5*b + 48 + 55, -z*d + 3*b = -69. What is the highest common divisor of d and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27898.581 months in millennia?\nAnswer: 2.32488175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7710 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 9*b**2 - 9*b + 45. Let g be p(10). Let o(m) = m**3 + 2*m**2 - 3*m + 1. Let d be o(3). Let y = g - d. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 450 by -9.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7 or 1504\/227?\nAnswer: 1504\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 5652, 45250, 152740, 362070, 707188, 1222042, 1940580?\n\"Answer: 5658*v**3 - 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 493447782*a**2 - 810718537*a?\nAnswer: 986895564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - z - 3330 = 0. Let c = -439 + z. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20915347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 - -26.48441?\nAnswer: 26.88441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-66)\/44*30\/(-9). Let x be 3\/(35\/(-16) - -2). Let p = x + 26. Solve p = r*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1961 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 837331 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 277507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 51289.87 meters?\nAnswer: 5128987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.4 - -4.4. What is the third biggest value in o, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1715 + -1428. Calculate the remainder when t is divided by 176.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -69118.44 rounded to the nearest 100?\nAnswer: -69100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 1110 divide 1457763000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 846044 + -1190504. Round g to the nearest 1000.\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*y - 6*y + 6*y)*(-y**4 + y**4 + y**4).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -90*t**3 + 3*t**2 - 91 wrt t?\nAnswer: -270*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -3*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**5*y**(-9)*y)**14\/((y**(2\/5)*y)\/(y*y*y*((y\/y**(-6\/5))\/y)\/y)*((y**(2\/5)\/y*y)\/y)\/(y*y**(2\/5)\/y*y*y)) assuming y is positive.\nAnswer: y**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1445684633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23695.\nAnswer: 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 55252\/38517 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 19703049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-6)*(-1)\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1040\/3*t + 35\/3*t**2 - 100.\nAnswer: 5*(t + 30)*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**3\/21 - 15934*i**2\/7 - 1527550*i\/21 + 525118\/7 = 0.\nAnswer: -23869, -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.69 + 0.5. Let l = -1.81 + s. Which is the nearest to 1\/4? (a) l (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from daawaaaawyaaaaaaaas. Give prob of sequence yd.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z - 18 = -48. What are the prime factors of 10\/(-15) + (-1097)\/z + -1?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12c (base 13) to base 3.\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -5*x + h, 0 = 5*x + 3*h - 36 + 8. Find the first derivative of -5*n + x - 7 + 2*n wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 224*m**5 + 234*m**5 - 372*m**5 + (-4*m**3 + 1 - m**3 + 3*m**3 - 2*m)*(-2*m**2 + 16*m - 16*m).\nAnswer: 90*m**5 + 4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-13*n - 10*n + 3*n)*(0 - n**2 + 0) as s + i*n + a*n**2 + m*n**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 29554 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 - 13. Which is greater: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 572\/(-572)*(79\/3)\/(2\/6).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1967 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 878 (c) -1\/4 (d) 16\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from {a: 3, o: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -13.1909 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.072 times 300\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*t - 2 = -24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) 23\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eee when three letters picked without replacement from uveeveuvvuvueueeee?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - 16735.\nAnswer: -16735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -49.98 - -50. Which is bigger: 2.1 or s?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 4) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-2) + 166 - -3. Suppose -3*u + 124 = -i. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -13 (b) -3 (c) 45 (d) -30 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 1 + -10 + 10 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1099865 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*f**3 + 2*f**4 + 29*f**3 + 1 + 5*f**2 - 33*f**3 to q*f**3 + z*f**4 + o + w*f**2 + h*f and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-192)\/288*33\/77?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence frl when three letters picked without replacement from {r: 2, f: 3, l: 6, v: 2, m: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o - 2. Let f be h(-4). Suppose z = -2*y + 1 + f, -2*z + 18 = -2*y. Let d = z - 2. Solve 2*m - d*l = 29 - 10, 0 = -3*m - l + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -36*w**2 - 6*w - 4. Let f be d(3). Let o = f - -368. What is the greatest common divisor of o and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.22011086 to 4 dps.\nAnswer: -0.2201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from boporpbooobxbbby. What is prob of picking 3 o and 1 y?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 972 - 649. Suppose 3*d - 82 = l. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -125\/18 and 53\/88455.\nAnswer: 530730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -1608*w - 170445. Determine v(-106).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the first derivative of f**4\/20 - f**3\/3 + 7*f**2\/10 - 3*f\/5 + 2. Suppose x(v) = 0. Calculate v.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 51 - 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3463348 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -100 + -142?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -3*m**3 + 7*m**2 + 13*m - 17. Determine q(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (-60)\/15 + (-26 - -29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 264 and 2988?\nAnswer: 65736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 5*k + 28 = 47, 0 = -38*p - 4*k - 96 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -37 - -34. What is the common denominator of (12\/(-9))\/((-5)\/d) and -38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3605660 divided by -2780\nAnswer: -1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*j**2 - 3*j**2 + 26*j - 46*j + 17 + 4*j**2 - 6*j**2 to the form a + u*j + g*j**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10036 - 23764 = -67*p + 42*p. What is the remainder when p is divided by 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -95 - -44. Let r = v + 50.99999891. Round r to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3, -0.8, 20, 24, 9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 93 + -42. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 11 and -10079.53373.\nAnswer: -10068.53373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7447 + -6959. Which is greater: 3422\/7 or n?\nAnswer: 3422\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7916861.\nAnswer: 7916861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -3*r - 19. Let v be s(-8). Suppose -31 = -v*f - 1. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31485300 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -5*r**3 - 9*r**2 + 3*r - 2. Let g(h) = -4*h**3 - 9*h**2 + 2*h - 2. Let m(c) = 3*a(c) - 4*g(c). List the prime factors of m(-4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, 4, -166, 1 in decreasing order.\nAnswer: 26, 4, 1, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -24194\/17 or -1423?\nAnswer: -1423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + (-6)\/4)*(-50)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 6*x - 15 = 0. Suppose -d - 3 = -u, 5*d - x*u + 13 = 2. Let k be (-10)\/45 + (-1479)\/(-459). What is the closest to d in -0.03, k, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - (-23)\/4) + (-102)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 18166*l**2 - 1 + 0.\nAnswer: 18166*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.509511 meters to micrometers.\nAnswer: 5509511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2772?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/3))**(1\/6)*w**(-5)\/(w*w*w\/(w**1\/w)) assuming w is positive.\nAnswer: w**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20021, 160673, 542453, 1285925, 2511653, 4340201, 6892133?\nAnswer: 10288013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the second derivative of -y**5\/120 - y**4\/24 + y**3\/4 + 43*y**2\/2 - 8*y. Let r(c) be the first derivative of g(c). Factor r(o).\nAnswer: -(o - 1)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 2*q**2 + 164*q\/3 + 18 = 0.\nAnswer: -27, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 11100000101001011 (base 2) in base 13?\nAnswer: 40478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6789 + -5799. What is the greatest common factor of 2860 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/5*l**3 + 0*l**2 - 18\/5 - 21\/5*l.\nAnswer: 3*(l - 3)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 7.06. Let m = l - 0.0600008. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -322200212210 (base 4) in base 16?\nAnswer: -ea09a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ymtaj. What is prob of sequence ma?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 642*n**4 - 2*n**3*t - 3*n**3 - 47045*n**2*t + 2*n*t wrt n.\nAnswer: 15408*n - 12*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 99308221.\nAnswer: 31, 271, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.6 + 5.87. Let i = -12608 - -12608.270032. Let a = i - v. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -d**5\/6 + d**4\/3 + 3*d**3\/2 - d**2\/3 - 4*d\/3 = 0.\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -6221*h**3 - 2*h**2 - 5*h. Let k be q(3). What is k rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/((1 + -3)\/1). Let o be ((-4)\/a)\/(2\/(-3)). List the prime factors of -3*((-34)\/6 + o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (6 + -3)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Total of -66186 and 3.53.\nAnswer: -66182.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 7.572?\nAnswer: 7.572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 209757a2 - -5?\nAnswer: 209757a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o**(1\/12)\/o*o))**(-6))**1)**(12\/7) assuming o is positive.\nAnswer: o**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10.6 + -2.6. Let y = v + -8.078. Let l = -0.022 + y. Which is smaller: l or -1\/41?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111222111111 - -1?\nAnswer: 111222111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1292 * -2\nAnswer: -2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + r - 5 + 4 = 0, -2*r = -2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -160141 plus 0.3?\nAnswer: -160140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 373078 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-5))\/(3\/15). Suppose p*x - 2*v = 32, 0*v = -4*v. What is the smallest common multiple of 20 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 22*s + 2. Let h(o) = o. Determine -3*h(y) + v(y).\nAnswer: 19*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2 - 64*i - 312.\nAnswer: -2*(i + 6)*(i + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 20*x**2 + 89*x + 30. Let r be z(13). Suppose -2*o + 7*o - 100 = 0. Calculate the highest common divisor of r and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 486 and 35802.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away -235.141?\nAnswer: 234.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(-6))\/((-30)\/(-200)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 10 (c) 5 (d) -0.92705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9.9 - 116.5. Let w = b - -107. Let i = -1 + -9. Sort -0.4, i, w in increasing order.\nAnswer: i, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 103 + -102.811. Let l = m + -0.188999428. Round l to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 33*f + 13. Let s be b(36). Let g = -120 + s. Solve t = g, 3*x + 3*t = -3 + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 1, w: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -969*n**2 - n - 230?\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -84*u + 70. Let x(c) be the second derivative of c**2\/2 + 120*c. Let v(t) = l(t) - 7*x(t). What is the first derivative of v(r) wrt r?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -45635*1.69\nAnswer: -77123.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) 43 (d) 12 (e) 0.5 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 363381 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 19*z**2 - 15*z - 24. What is j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 26\/11, -4\/15, 4, -3\/10 in descending order.\nAnswer: 4, 26\/11, -4\/15, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of -1565 and 0.3.\nAnswer: -1564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 + 29*a - 390. Let y be f(10). Solve 1 = 2*l - 4*w + 23, y = -l - 4*w + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -q - 5*q**3 - q - 2 + 6*q**3 + q**3 - q**4 in the form n + b*q + z*q**4 + g*q**3 + s*q**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.93 + 0.07. Let j = k + -2.6. Let c = 0.6 - j. What is the closest to -2\/3 in c, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by -9308\nAnswer: 3\/4654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is y in 3*y**2 - 1881*y + 9330 = 0?\nAnswer: 5, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 183384 and 2592?\nAnswer: 733536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2 - 6166*y - 12336.\nAnswer: (y - 6168)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -c**8\/112 + c**7\/70 - 3*c**2\/2 - c. Let f(t) be the first derivative of d(t). What is g in f(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3 - (3 - 41\/7) and 3\/(-12)*-20 + 97\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 22*v**2 + 20*v - 19. Let m be z(-21). Put m, -7, 4, -3 in descending order.\nAnswer: 4, m, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49 + 99 + -180 + 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 405, -68, -32, -15.\nAnswer: -68, -32, -15, 0, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fnfnxxffnfffxn. Give prob of sequence xffx.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2842647 divided by 2842647.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 AM and 2:10 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*n**3 + 13919080*n**2 - 295074795*n?\nAnswer: -60*n + 27838160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -85*0.4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 2341702*j. Let f(v) = -v**2. Determine g(f(p)).\nAnswer: -2341702*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/3*(-15)\/(-10). Let y be (-13860003)\/(-6) - x\/4. What is y rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5107\/10222 - -2\/5111. What is the nearest to 0.3 in 0.02, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 91, 328, 715, 1246, 1915, 2716?\nAnswer: 3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 56756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 38*b + 1032 = 3*o - 4*o, 0 = -4*o + 2*b - 46 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5\/(-35) - 45\/(-21))\/1. Let p(a) = -65*a + 65*a + d*a**2. Let x(m) = -2*m**2. Calculate p(x(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29901, 59929, 90025, 120189, 150421, 180721, 211089?\nAnswer: 241525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 17138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7792\/28 + (-64)\/224. Solve 270*u = h*u + 56 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 4*y - 146 = -168, 26 = -2*n + 5*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 71 and 1086265139.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2062*z - 4993665 + 4993665)*(-1 + 1 + z**3).\nAnswer: -2062*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2. Let a(t) = -51019*t - 14. What is a(o(b))?\nAnswer: 51019*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -285 divided by -461\nAnswer: 285\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -29, 19 in ascending order.\nAnswer: -29, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4820 divided by -482.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 80908485 a multiple of 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -741 - -2225\/3. Which is the third smallest value? (a) -2 (b) -0.6 (c) -36 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - -4. What is the third smallest value in 0.1, k, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*a**3*g**2*j*v**3 - 75*a**3*g**2*v**2 + 2*a**3*g*j + 2*a**3*j*v + 55*a**2*g*j*v**3 + a*g*v**2 wrt v.\nAnswer: 66*a**3*g**2*j + 330*a**2*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-2 - -16) - 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -4\/7, 29, -0.2, -828.\nAnswer: -828, -4\/7, -0.2, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(180)*2 + sqrt(180) + 0 + (4*(sqrt(180) + sqrt(180) + 0 + sqrt(180)))**2 + 3 + (sqrt(35)\/(sqrt(126)\/sqrt(2)))**2.\nAnswer: 18*sqrt(5) + 233312\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -376*f**2 + 211*f**2 - 665*f**2.\nAnswer: -830*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -10, -5, -4.7, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t + 11. Let o be (-2 - 7)*(-5 + 6). Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 2*c = -5*a + 1420, 3*a + c - 1075 = 0. Suppose 5*z = -2*o + 429, -a = 3*z - 7*z + 3*o. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -402 + 20*z + 402.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*b + 5*b + 2*z - 106, 5*b - 85 = 5*z. Solve 0*h - 4*h + b = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*d + 1297 = 11*d + 10151. Sort 5, -4, d.\nAnswer: -4, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times -0.004?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 5, z: 8}. What is prob of picking 1 e and 3 z?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of c**2\/2 + 6*c - 9. Let o be 2\/(-9) - (-602)\/(-126). Give h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -209 - 127 = -3*s. Let h be (8\/s)\/((-1 + -1)\/8). Which is the closest to h? (a) -6 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -0.702, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + 730009?\nAnswer: 730004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4784905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 164496 and 157872.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 308159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -9*p. Let b(z) = -2*z + 2*z - 293*z**2 - 268*z**2 + 504*z**2. Calculate b(d(s)).\nAnswer: -4617*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 601 (base 10) to base 5\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 + 2*p**2 + (-2*p - 2*p + 6*p)*(-p + 5*p - 5*p) - 3*p**2 + p**2 + 3*p**2 + 2*p**2 + 0*p**2 + p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 357673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-3 + 2) - 189\/45*-5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 - 3 = 4*y. Suppose j = -6 + y. What is the remainder when 31 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 14 + 42a4555?\nAnswer: 42a4569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 5) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - (0 - (-13 + 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -511*q + 256*q + 245*q. Let b(p) = -2*p + 2*p**2 + 2*p. Give f(b(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -108 + 111. What is the closest to -1 in -2\/3, -27, t, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence va when two letters picked without replacement from {e: 3, c: 1, v: 2, h: 3, k: 1, a: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.7 + 0.5. Let y be 2\/(-8)*1 + 115\/60. What is the second smallest value in y, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1059 * 1.8\nAnswer: -0.19062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l = -3*l. Let w(q) = q + 1. Let j be w(l). Let b be j\/5 - 2\/10. Solve b = -5*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*s + 255 = 15. Let d = 34 - -25. Calculate the remainder when d is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 15 = -p, -2913*f = 2*p - 2912*f + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.5 - 2. Suppose -27*y - 2*l + 4 = -26*y, l = y + 8. What is the second smallest value in y, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 + 6*i + 7. Let x be t(-5). Factor 2*z - 6 + 4*z + 0*z**2 - z**x - 3.\nAnswer: -(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 412 = 14. Let l = -991\/7 + i. What is the nearest to -1\/4 in -1, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**1\/u**(-25))**(-5\/2) assuming u is positive.\nAnswer: u**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = h. Let r be (-10)\/(-14) + 4\/14. Suppose -y + 3*w - r = 0, 0*w = -y + 4*w - 2. Solve -y*l + 0 - 2 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -59 + 68.6. Let c = 9.60000117 - s. Round c to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18\/21 - (-1)\/7. Suppose -4*l - 4 = 3*t, 4*l + t + 8 = -3*t. Is 23\/l + (-3)\/2 + u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -79, -141, -181, -187, -147, -49, 119, 369?\n\"Answer: 2*w**3 - w**2 - 73*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y + 3*h - 276, 4*y = 4*h - 2*h - 368. Let k = y - -101. Let v = 7 + 37. Calculate the remainder when v is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 - 8\/5*i**3 + 4\/5*i + 1\/5*i**4 - 4.\nAnswer: (i - 5)*(i - 2)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 7*y**2 + 68*y + 15. Let z(f) = f**2 + 13*f + 3. Let m(a) = 2*n(a) - 11*z(a). Let s(t) = t**2 - t. Calculate m(i) - 4*s(i).\nAnswer: -i**2 - 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(12\/2))\/(9\/11340*30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 24*f - 11*f**2 - 14*f + 2*f**2 + 0*f**2 - 9156*f**3 + 3. Suppose -10*b - 98 = 4*b. Let s be v(b). Round s to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7967\/4 - 1992. What is the fourth smallest value in 0.5, -2, -1, o, 26\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 192681063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 - -24. Suppose 0*p + 2*p = -u + 7, -5*p = -j*u - 31. Solve -p*v - 9 = -4*n - 21, -5*v - 2*n = -24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 2\/11, -2\/7, -3841, 2\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1624*x**2 + 67517 - 67517)*(0*x**2 + 2*x**2 - x**2)*(-4 - x + 4).\nAnswer: -1624*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 - -43. Let m(z) = 2*z**2 + 20*z + 19. Let r be m(-8). Let y = q + r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9056 or 192?\nAnswer: -9056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 2*p = -22, -143*w - 4*p - 1 = -144*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 - 3*g - 2. Let h = -2 - -2. Suppose h*w - 6 = 2*w. Let s be r(w). Solve 3*b - 24 = 3*l, l + 2*b + s = 5*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1231784701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (9*-4)\/2*(-3068)\/(-3068)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 950 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4484390327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 6*w - 10875 = -2*w, w = -4*c - 8700. Let n = -221 - c. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-64)\/64*((-5)\/(-1))\/(2\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -122592.3703 rounded to the nearest ten?\nAnswer: -122590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0 (c) 3 (d) 0.35761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 1 - 1)*(-l**3 - 3*l**3 + 0*l**3).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 15366713513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 172271232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 160867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2668211\/92 + -29002. Calculate the common denominator of w and 77\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/84400 and -87\/880.\nAnswer: 928400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 0*h + 30 = -4*h, 15 = -3*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 5*g - 111, 2*d = -2*g + g + 74. Let p = 37 - d. Suppose p = -2*y - 2*y + 12. Solve y*n - 4 + 13 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = k - 27, -w + k + 16 = 7. Suppose -23 = 4*r + 3*x, -5*x + 15 = -w*r + 2*r. Let s = r - -9. Solve -8 = -0*h - s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 359*s - 1284. What is w(4)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -153\/2 < 2399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**3 - 13*x**2 - 12*x + 4. Let q be k(-12). Suppose -2*i - 1 = -u, 3*i - q*u = 2 - 6. Which is smaller: i or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56370 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 - -12. Differentiate -36*z**g + 36*z**2 + 3 + 3*z**3 with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -207903, -207910, -207921, -207936, -207955, -207978?\n\"Answer: -2*b**2 - b - 207900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 14409 + 2?\nAnswer: 14410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 28 * -17.6\nAnswer: -492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -227*779406.\nAnswer: -176925162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*r - 9. Let k(t) = -11*t - 118. Let p be k(-13). Suppose -p = -14*x - 11*x. Solve -v - x = -r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2*a. Let r(j) be the second derivative of j**3\/3 - j. Calculate x(r(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 195195*f + 39 - 24*f**3 - 195195*f + 2*f**2 as p*f + j*f**2 + w + o*f**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4205\/30 - (-2)\/(-12). Let w = 218 - b. Calculate the remainder when w is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-32272)\/28238)\/((1 - 0) + (-51)\/49).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of -x**4\/24 - 2*x**3\/3 - 7*x**2. Let d(z) = 4*z + 17. Suppose -h = h - r + 1, h = 5*r + 13. Determine h*d(o) - 9*j(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3 + ((-15996)\/(-3936) - 7) and -25\/64?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -2 (b) -5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5724 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: Expand 2*f**3 + 2*f**2 - 2*f**2 + 2*f**3 - 4*f + 4*f + (0 - 2*f + 0)*(-f - 2*f**2 + f) - 3*f + 3*f + 2*f**3 + (-4*f + 4*f - 2*f)*(-f**2 + 2*f + 3*f + 0*f**2).\nAnswer: 12*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = 12*x - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + f - 8. Solve 2*t = 4*i + t - 3, 5*t = f*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -2*b**2 + 17*b + 309. Let q be c(17). Solve -4*s + 35 = -5*r, 7*s = -5*r + 8*s - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(-22*m + 812 - 812).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*c**2 + 0*c**5 + 15*c**2 - 4*c**5 + 8*c**5 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of -y**4\/2 - y**2\/2 + 3*y. Give a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 93\/8 and -49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3. Let g(f) = -37*f**5 - 5*f**3 - 9*f. Let r be ((-12)\/(-4))\/(18\/4)*3. Let z(j) = r*g(j) - 10*t(j). What is the second derivative of z(c) wrt c?\nAnswer: -1480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (80\/240)\/((-1)\/(-21)*5\/(-10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*p + 25*p - 334 = -129 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/22 + 0 + (-186)\/(-66). Solve 0*u = q*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -3*k + 9, 3*h = -3*k - 0*k + 9. Let t be 2\/(-6) + 916\/k. Suppose -11*z + t = -47. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 PM and 9:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**2 - 3*p. Let x be w(3). Suppose x*a - 4*k = 2*a - 34, -2*a = 5*k - 35. Solve 0*y = 5*y - u + a, 0 = u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2834973 is divided by 157.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 8, q: 2, p: 2}. Give prob of sequence ppqj.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + k**2. Let y(c) = -c**2 - 1. Let h(d) = -2*d**3 + 7*d**2 + 7. Let l(u) = h(u) + 6*y(u). Calculate 2*l(r) - 3*x(r).\nAnswer: -r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2730 and 53335100?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -2*s**3\/9 - 1034338*s**2\/9 - 12411790*s\/9 - 11377454\/9 = 0. What is s?\nAnswer: -517157, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 430 + 11?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**2 + 8*z - 7. Let k be f(6). Suppose k*p - x = 125, p - 2*x - 68 = -2*p. Calculate the remainder when (-372)\/(-5) + 132\/(-330) is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56500?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50771215?\nAnswer: 5, 11, 37, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + 5*b. Let k be m(-5). Suppose 2 = -v - 3*i, -4*v + 2*v - 3*i - 1 = k. Suppose -4*c - 17 = -57. What is the highest common divisor of v and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 162250 and 118?\nAnswer: 162250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 73, 60, 29, -26, -111?\n\"Answer: -t**3 - 3*t**2 + 3*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - -4 - (-5 + (-3 - 3)) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000624053 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 5:30 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from otntjjnfnfnoonnynj.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of -7*o**4\/24 - o**2. Suppose 4*a - 358 = -5*t, 6*a - a = 10. Let b(p) = t*p**2 - 148*p**2 + 73*p**2. What is b(r(x))?\nAnswer: -245*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1315355 (base 6) in base 5?\nAnswer: -4310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 + 0 - 2)*(-7 + 2 + 4) + 3 - 3 - 2 + 0 + 6 - 2 + (0 + 2 - 3)*(-9 - 1 - 4))*(3*s**2 + 2*s**2 + 5*s**2).\nAnswer: 140*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 68 = -56. Find the common denominator of 29\/36 and (240\/o)\/((-2646)\/(-28)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ktd when three letters picked without replacement from stmkdkq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 2, b: 2, t: 1, j: 1, w: 2, z: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 3*j**2 - 31*j. Let k(g) = 88249*g. Calculate k(i(m)).\nAnswer: 264747*m**2 - 2735719*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3\/5, -0.4, -7\/2, -2.1, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 16*f - 17*f + 3 - 4. What is o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.3 + 0.3. Let i = -4.2 - f. Which is the nearest to i? (a) 1\/4 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 44*q**2. Let i(x) be the second derivative of -x**3\/3 - 5*x - 8. Give i(t(m)).\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = -2*z + 15 + 4, 47 = 4*z - 3*b for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -13\/7*k**4 + 3\/7*k**5 + 0 + 8\/7*k**3 + 12\/7*k**2 + 0*k = 0.\nAnswer: -2\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 - (-21)\/(-10)*(-60)\/(-24). Let l = -0.48 + 0.5. Let r = 0.121 + 0.079. What is the nearest to i in l, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18457400 divided by 5?\nAnswer: 3691480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*j**3 + 2 - 3*j + 3*j + 6*j**3.\nAnswer: 30*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 186110897 to the power of 1\/2, to the nearest integer?\nAnswer: 13642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -9\/2*p**2 + 39\/4*p**3 + 0*p + 0 - 4*p**5 - 2*p**4 = 0.\nAnswer: -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 8 = -3*i, 0*a + 20*a + 10 = a + 5*i - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5278548 and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - 6*o**2 - 6*o - 7. Let z be q(-5). Let n = -5 + 5. Suppose -2*x + 10 - 2 = n. Sort 2, x, z in ascending order.\nAnswer: z, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4875.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 980873.4um to millimeters.\nAnswer: 980.8734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/54*(-13344)\/5560.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let c be (6\/(-9))\/(0 - (-29540)\/(-12)). Let y = 117918\/893585 + c. What is the common denominator of y and -2\/5?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17 - 8 - 9 + 1747694*s**2.\nAnswer: 1747694*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (18\/8)\/((-42)\/(-112))*(-2)\/15. Sort -505, 2\/11, n.\nAnswer: -505, n, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-164)\/(-205) - (-4)\/(20\/21). Which is the nearest to -2\/15? (a) z (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the second derivative of i**6\/12 - 9*i**5\/80 - i**4\/48 + 2*i - 28. Determine o so that w(o) = 0.\nAnswer: -1\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2. Let u be (-4)\/(-14) + -6*11\/231. Let y(a) be the first derivative of 2 + u*a - 5\/2*a**2. Calculate y(h(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 2*i - 16*i**2 - 4 - i**3 + 5 - 8*i**2 + 19*i**2. Let j(q) = -q**3 - 3*q**2 + q + 1. Give 5*j(a) - 3*k(a).\nAnswer: -2*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1745432 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m. Let h(j) = -2*j**2 - 4*j - 33. Let a(y) = 6*y**2 + 11*y + 99. Let s(q) = 4*a(q) + 11*h(q). Determine s(f(k)).\nAnswer: 8*k**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12035\/11 - -1093. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*v - 2288 + 6307 = -3181 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence db when two letters picked without replacement from {n: 1, b: 4, d: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3 + -0.2. Let s = x + -1.9. Let z = -2.5 - s. What is z rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of 1\/6*y**3 - 1\/24*y**4 + 3*y - 2*y**2 + 0. Give o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 548?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 + 8 = 5*m. Let c(k) = 1. Suppose 2*l - 188 = -100 - 92. Let d(w) = w - 1. What is l*d(z) + m*c(z)?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3826942 and 1444?\nAnswer: 145423796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*u - 61 = 292 - 63. Let o(m) = -9*m - 16. Determine o(u).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 11 = -35. What is the remainder when u is divided by (-174)\/(-7) + (-108)\/126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2613955, 5227913, 7841871, 10455829, 13069787, 15683745?\nAnswer: 18297703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-6)\/4)\/((-3381)\/184))\/4*-2.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 320.5877 + 0.3123. Let w = -321 + s. Let h = 0.1 + 0.4. Which is the closest to 2? (a) -0.3 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b + 1 = 5*z, -5495 + 5489 = 2*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 747 and -1325.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o - 2*o + 3*o)*(1774*o - 4119*o + 1576*o + 2) in the form s + y*o**2 + n*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 289 and -0.54?\nAnswer: -156.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/2 - (-6118)\/(-836)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 + 0)*(9 - 5). Let c(j) = -6*j. Let o(b) = -5*b. Let r(f) = v*o(f) - 3*c(f). Let x(a) = 2*a**2. Give r(x(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -130 (c) -82\/13 (d) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 284\/435 - -2\/145. Let h = 37 - -75. Let u = h + -109. Sort k, 0.4, 1, u.\nAnswer: 0.4, k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 10*(77\/(-15) + 5\/15). Let a = d + 51. Solve 0 = -5*y + a - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 1 + 7 = 0. Let x(g) = g**2 - 3*g - 3. Suppose -5*s + 6*f + 35 = 2*f, 4*f + 26 = 2*s. Let j be x(s). Sort c, j, -2 in increasing order.\nAnswer: c, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 6*x**3 - 4*x**2 - 3*x + 1. Let k(l) = 11*l**3 - 9*l**2 - 7*l + 2. Determine -4*k(a) + 9*z(a).\nAnswer: 10*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44282?\nAnswer: 2, 7, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-160)\/(-12))\/((-40)\/180)*(-22)\/55?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 6 - d)*(16*d**2 - 20*d**2 - 18*d**2) in the form h + i*d + k*d**3 + v*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 27 - 12. Suppose -5*r + 8*r - l = 0. Suppose r*s - 45 = 5. Calculate the smallest common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 81832.1049 nanoseconds to weeks.\nAnswer: 0.00000000013530440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 - -1. Suppose 15 = -n - 29. Let y = n + 222\/5. What is the smallest value in -0.1, h, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 6}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22 - -11. Let d = 761391.0001 - 761358. Let x = d - h. Round x to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -111110011000100011 (base 2) to base 15\nAnswer: -50a9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 112 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -97*c - 59*c + 9*c. Let m(i) = i + 9. Let k be m(-10). What are the prime factors of x(k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the third derivative of -11*u**5\/60 - u**2. Let b(a) = -2*a. What is b(k(f))?\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 2*d - 16. Let f = 6 + d. Let p(c) = -3*c + f*c + 0*c. Let g(j) = 2*j**2. Determine p(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -294 divided by -21494?\nAnswer: 147\/10747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1890366547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3106 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2 + -5 - (-1 - -5 - (-10 + 9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2 + -1)*0\/(-2). Let b(k) = 10*k. Let a be b(2). Suppose -f + 3*f - a = c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 17*u**5 + 14*u**5 + 9*u**5 + (-4*u**3 + 4*u**3 + 2*u**5)*(8 - 6 - 18).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 9\/2. Let j = 0.011 - 34.011. Let x = j - -34.2. Put p, 0, x in ascending order.\nAnswer: p, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 3*i - 53 = 0, -7475*i + 7480*i = -k - 77 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 40*w**2 + 823*w - 7340. Determine u(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -1693370615444 + -0.4.\nAnswer: -1693370615444.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**2 + 73*t - 9006. Determine b(-144).\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 4*q + 84, -5*b + 97 = 5*q - 2*q. Differentiate 3490*r**3 + b*r + 112 - 3491*r**3 - 2*r wrt r.\nAnswer: -3*r**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 144 or 719\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 95476, 95487, 95498?\n\"Answer: 11*v + 95465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 0.3, 0.24, 3, 3\/7?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.558493 millimeters to micrometers.\nAnswer: 5558.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(396) - ((sqrt(396) - (sqrt(396) + -3))**2 + -2)) + -5)*-1.\nAnswer: -30 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the third derivative of -17*v**6\/60 - 45*v**3 + 4*v**2 - 43. What is the derivative of d(r) wrt r?\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 78 - 53. Suppose -m - t = -6*m. Solve -2*k = -5 - m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -16 + 14. Suppose 4*p + 174 = 170. Let u be (-3)\/3 - 11\/(-22). Which is the third smallest value? (a) p (b) w (c) u (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8483, -29, 23 in ascending order.\nAnswer: -8483, -29, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xtyx. Give prob of sequence yx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -58 = -27*c + 370 - 50 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a + 2*x - 12, 5*x - 5 = 10*a - 5*a. Find the second derivative of 60*c**2 - 229*c - 68*c**a - 164*c**2 wrt c.\nAnswer: -344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 12424 = 5*v - 85592, 43919 = 3*v - 5*w. Is 72 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -74\/12453 and 1\/60.\nAnswer: 249060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1603383 rounded to four dps?\nAnswer: -0.1603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 15849, 29209, 42571, 55935, 69301, 82669, 96039?\n\"Answer: f**2 + 13357*f + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0215922 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4905924 and 226092.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 2.18205598 to three decimal places.\nAnswer: 2.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 5. Let j be ((-5)\/(-10))\/((-3)\/47) - -2. Let u = 13\/3 + j. Which is the third biggest value? (a) m (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011 - -110?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-y - y + 4*y + (0 + 2*y + 0)*(-3 + 5 - 4))*(y**3 + 4*y - 4*y) to the form o*y + h*y**2 + t*y**3 + p + l*y**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2)\/n**4 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -29937, -29936, -29935?\n\"Answer: b - 29938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - 3) + (-2 - (16 + -15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93804 is divided by 1117?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -754260317211.00069 + 754263888394. Let a = v + -3571139. Let d = a + -44. Round d to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -12*w - 3. What is the remainder when 123 is divided by k(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 5*a + 36*u - 35*u, -u = 2*a - 11. Let z(s) = s - 3. Let h be z(5). Suppose -5*f - 5*y = -15, 5*f - 2*y - 51 = h*y. Is a bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, j: 12}. Give prob of sequence ccjc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -387, -1259, -2615, -4455?\n\"Answer: -242*p**2 - 146*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 151*y + 720 = -941 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -59, -29, 1, 31, 61?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1683*k**4 + 1663*k wrt k?\nAnswer: -20196*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**11\/d**6 assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9362?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 944 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28063038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - 35. Let c be q(0). Let o be 2\/7 - (-1760)\/c. Let w be (-1)\/(2\/(o + 2)). Calculate the highest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -j - 476, 2*u - 197 = -j + 35. Let c(q) = -2*q - u + 118. Let v(x) be the second derivative of x**4\/4 + 2*x. What is c(v(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*o + 803 = 12*o - 982 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 3 = 5. Suppose 3*z + 7 = -2*c + 30, g*c - 6 = 2*z. Suppose -z*j + a = -150, -2*j = -2*a + a - 63. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2*1*(-2)\/(-4). Let g be n\/(-2) - 22\/(-4). Suppose 44 = g*m - 2*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -820, -732, -586, -382, -120?\n\"Answer: 29*u**2 + u - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1920 + 1920. Let k = 0.11 - 4.11. Which is the nearest to w? (a) 0.01 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hooyhhhynhnhnnohn. What is prob of picking 1 y, 1 n, and 1 h?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 39*o - 10 = -44*o, 0 = -3*n - 2*o + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6 and 119366.\nAnswer: 716196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 876*w + 17886 = 1418*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 292 = v + 128, 3*v - 542 = -5*u. Calculate the highest common factor of u and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 3. Let o be -5 + z - (1 + -13). Does 5 divide o\/(-4)*20\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.6 minus -5261?\nAnswer: 5256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -4*p + 25. Suppose -3*f + 24 = 3*o, f + 2*f + 4*o - 27 = 0. Let s be y(f). Suppose -j - 213 = -5*j - h, -3*j + 147 = s*h. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**5 - 47*x**4 + 118*x**3 - 40*x**2.\nAnswer: x**2*(x - 5)*(x - 4)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-12)*(7 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 335709677.67000882 - 335709681. Let o = q - -3.33. Round o to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(147) + 5 - sqrt(147))**2 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -787 - -787.4. Which is the nearest to -0.1? (a) q (b) -2 (c) -2\/15 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 849 less than or equal to 851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12304 + 12301 + 3693*l - 24605 to the form g + z*l and give z.\nAnswer: 3693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -171*i - 65*i = 74*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mmqvmmqmlqmqd. What is prob of picking 1 d, 2 q, and 1 l?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -1 + 16, 3*x = -3*u + 48. Let q = x + -14. Solve 0 = -3*l + q*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-432)\/(-96))\/(9\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -7*a - 3. Let h be t(-8). Suppose 0*c = u + 4*c - 22, -h = -5*u - c. Suppose -u*m = -11*m. Solve m - 8 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 76*u + 143*u + 105*u + 108*u + 1037 - 44*u with respect to u.\nAnswer: 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d = -21*d + 30. Suppose d*o - 82 - 183 = -v, o - 525 = -2*v. Suppose -3*w + 3*x + 236 = -v, 0 = 5*x + 25. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -10*m**2 + 6. Let w be ((-1)\/(-2))\/(3\/(-9 + -3)). Let n(s) = -s**2 - 6*s - 6. Let u be n(w). Let v(l) = 3*l**2 - 2. Calculate u*z(b) + 7*v(b).\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2231808041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 22344011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -456\/7*w - 2\/7*w**4 + 88\/7*w**3 + 100\/7*w**2 + 270\/7 = 0 for w.\nAnswer: -3, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 20198*p**2 - 50. Let h(m) = -343365*m**2 + 875. What is 2*h(v) + 35*n(v)?\nAnswer: 20200*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-21))**29 assuming y is positive.\nAnswer: y**(-580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 2 - 1)*(3*a + 2 - 2 + (1 - 1 + 1)*(1 - 6 + 3)*(186 - 26*a + 28*a - 4*a)).\nAnswer: -35*a + 1860","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.2 - 0.3. Let y = -57 - -98. Let p = y + -37. What is the nearest to s in -2\/11, p, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681889 divided by -13?\nAnswer: -52453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 9414*a**4 - a**3 + 38*a**2 + 48. Let k(d) = -2*d**4 + d**3 + d**2 - 6. Let g(h) = k(h) + l(h). Find the third derivative of g(c) wrt c.\nAnswer: 225888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5402 and 519?\nAnswer: -2803638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of 7*s**6\/75 - 23*s**5\/50 + 2*s**4\/3 - 4*s**3\/15 - 77*s. Let w(d) = 0. Calculate d.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7516259ml to litres.\nAnswer: 0.0007516259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 538 + -78. Let f = -465 + g. Which is the third smallest value? (a) f (b) 5 (c) 1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - r - 2 + (3 - 2 + 1)*(2 - r - 2) - 4*r + 5*r + 0*r - 4*r + 552*r - 56*r to the form s + i*r and give i.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2212408*o**2*x**3 + 255*o**2*x**2 - 3*o**2*x - o**2 + 23*o*x - 6*x**2 wrt x.\nAnswer: -13274448*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 7) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9671.719l?\nAnswer: 9671719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6375 + -21?\nAnswer: -6396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 506 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the first derivative of 65*g**2 + 537. Let n(m) = 3*m. What is p(n(u))?\nAnswer: 390*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 726216?\nAnswer: 2, 3, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.17 + 2.83. What is the smallest value in p, -0.01, 0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 262278775 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kklllklxlylkkl. What is prob of sequence yk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 246 - (-33 + 145) - 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 32\/9 in 8, -13, -1\/6, -3, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -3*t. Suppose 5*a + 23 = 73. Suppose -2 = 4*z - a. Let p(m) = 3*m**z + 0*m**2 + 2*m**2. Calculate p(o(j)).\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21 - 23.7. Let o = g - 1.3. What is the second biggest value in o, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, o: 15}. What is prob of sequence tto?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 6) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - w + 196 = 194, 0 = -2*y + 2*w - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4408 + -4407.471. Is k smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 142857131747 and 0.4.\nAnswer: 142857131747.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2 + 48506*t - 3692234. What is d(76)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*m**3 - 13*m**2 + 0*m**3 + 30*m**2.\nAnswer: -3*m**3 + 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 + 2*i - 4. Let s be j(-3). Let w(b) = -79*b - 1. Let t be w(s). Suppose -4*f + 0 + 60 = d, -5*f = 2*d - t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -9 + 2 - 9*p - 3*p - p**2 - 2*p. Let s be n(-11). Suppose -4*r = -2*r - s. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of g**7\/28 - 7*g**6\/60 + 7*g**5\/120 + 17*g**4\/72 - 4*g**3\/9 + g**2\/3 + 16*g. Let v(m) = 0. Calculate m.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 8*o + 416 = 4*b, 20 = -5*o. Suppose 4*u - 23 = 21. What is the greatest common divisor of b and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/35830 and 58\/5.\nAnswer: 35830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 867790319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1325419 = -149*d + 262772. Is 179 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14463 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, v: 9, d: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -558*t + 403. Is 31 a factor of g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 39*n**2 - n + 2. What is the least common multiple of j(1) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**3 + 791*j**2 - 2145*j.\nAnswer: -j*(j - 195)*(4*j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1128563 - 1646570 = -53*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1040 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {l: 5, s: 2, h: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/42)\/(5\/(-14))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1195790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 351900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -812*z + 241. Let a(v) = 813*v - 245. Let f(p) = 10*a(p) + 9*n(p). What is the first derivative of f(k) wrt k?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 20 = 3*n. Suppose 5*w - n = 0, 2*c - 26 = -c + 2*w. Suppose 2*a = -c, -v - 5*a - 2 + 4 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-208)\/780)\/((-2)\/10*2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (32 - 9*h - 32)*(14*h + 38*h**2 + 32*h - 45*h**2).\nAnswer: 63*h**3 - 414*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 100 a factor of 90368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.26*-236.6\nAnswer: 61.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 14223135 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 158*a**2 - 4*a + 21. What is the tens digit of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 + -2.4526280639835\nAnswer: -2.9526280639835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of 0 + 2*y + 0*y**2 - 17\/6*y**3. Let m be u(-1). Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 + 5*a**2 - 4*a - 3. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3835 = -315*k + 399*k - 190*k - 9983 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 1258\/3, 6, 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.0275, -2\/7, -14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 7*(10\/5 - -1). Solve -2*p + v = y + 4*y, 5*p = -5*y + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 260784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1\/8, 4, -5, -0.1, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 24 - -46 - (2 + 21)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is c in 3*c**3\/7 + 45*c**2\/7 - 219*c\/7 + 171\/7 = 0?\nAnswer: -19, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70090825 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11490280.\nAnswer: 2, 5, 287257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 + 5 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 2*p**2 - 5*p + 37. Let n be a(-10). Let q = n + -291. Let v(x) = x**3 + 5*x**2 + 5*x + 2. Determine v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 + 16*o**2 + 44*o - 141. Let i be m(18). Let y = 1 + -1. Let f = -3 + 2. Which is the closest to i? (a) f (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (16\/(-6))\/(16\/(-24)). Suppose n*m + 0*m = -492. Let q = -103 - m. Solve -5*o + 2*w - 2 = 23, -4*o - 3*w = q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**2\/3 - 2088*b - 1634904 = 0.\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes after 4:49 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) 66 (d) -2\/15 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 2*w = -20, 4*t - 4*w - 14 = 6. Suppose -q + 0*q + t = 0. Solve -d = -0*d + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:03 AM and 2:09 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 - 76*g**2 + 415*g + 346. What is k(70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 11. Suppose 10010 = -10*b + 10020. Is (l + -4)\/(1*b\/3761) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*b**3*u**3 + 1305*b**3 - 1841*b**2*u**6 + 2*u**2 wrt u.\nAnswer: -12*b**3 - 220920*b**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((5\/225)\/((-141)\/36))\/(226\/(-565)).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37 + -53. Let c be o\/(-2) + (-5 - -2). Suppose 5*q - 24 = c*y + 91, 0 = -3*q - 5*y + 53. What is the highest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2830 + 2801?\nAnswer: 5631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes after 2:03 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 84\/37 + -443\/407. Let m = -19639\/893 + 432\/19. What is the common denominator of w and m?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1916*q**2 - 1148*q wrt q?\nAnswer: 3832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9300 and 32?\nAnswer: 74400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z + 2. Suppose 0 = -4*a + 5*p + 10, a + 8 = 2*a - 4*p. Let w be n(a). Solve -w = -3*s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + 25 - 17\/17. What is the greatest common divisor of 216 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14875 divided by 17?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 17 - 108)*(-3*j + 3*j + j)*(-5 - 1 + 2).\nAnswer: 488*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**5 + 459*j**4 + 14841*j**3 - 47247*j**2 + 48150*j - 16200 = 0.\nAnswer: -30, 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 5 - 3*o + 0 + 2*o - 7*o. What are the prime factors of l(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 0 - (14 - 30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - 7 - (1 + -2 - (9 + -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 166118045 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of -71*d**4\/2 + 63*d - 10. Differentiate r(g) with respect to g.\nAnswer: -426*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 8 = -7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Total of -592584982118 and 4.\nAnswer: -592584982114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 564.8465 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150197057 is divided by 177.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 + 14*q**2 - 15. Let v be r(-14). Let c = v - -46. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-154))\/(65\/(-47775)*-70)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13331223111 - 1?\nAnswer: -13331223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - (7 + 2)) + 1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 2507 = -5163. Suppose 1 = 3*w + 2*w + 2*d, 2*d + 1 = -3*w. Find the common denominator of ((-8)\/(-20))\/w + m\/60 and -22\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6210 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 136 - 80. Suppose 31 - b = -o. Let g = o - -57. Calculate the remainder when g is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**2 + 5*o - 8. Let z be f(-7). Suppose 0 = p + z*p - 2163. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/9? (a) -0.3 (b) 5 (c) -1081 (d) -0.21 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, h: 2, n: 3, w: 3, l: 3}. What is prob of picking 1 n and 2 w?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -332*14\nAnswer: -4648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - (sqrt(108)*2 + sqrt(108))) + (sqrt(187) + (sqrt(187) + (sqrt(187) - (sqrt(187) + 2*sqrt(187) + sqrt(187))))*-1)\/sqrt(11))**2.\nAnswer: 8993\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3070994\/85 - 36129. Calculate the common denominator of -9\/85 and o.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 14865.21 * -3.\nAnswer: -44595.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 s when four letters picked without replacement from {w: 1, f: 4, s: 3, j: 2, u: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 4 - 110*a.\nAnswer: -110*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -0*j + 5*j + 41, -5*m = -j + 15. Let z be 2\/(3\/m + 1). Is (-1 + -19)*(-4)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 213*8\/(-96) - (-2)\/(-8). Sort n, 0, -5, -4 in descending order.\nAnswer: 0, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-13)\/u**(-20)*(u*u*u**(2\/7)*u*u)\/(u\/(u\/(u**(-13)*u))) assuming u is positive.\nAnswer: u**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 185900 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 10:30 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164*k**2 - 167*k**2 - 11*k**3 - 152*k**2 + 8*k**3 - 162*k**2 + 667*k**2.\nAnswer: -3*k**3 + 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/42)\/((-2)\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of 0*b - 14\/15*b**6 + 1\/210*b**7 - 29\/8*b**4 - 1\/3*b**3 + 0 - 57*b**2 + 0*b**5. What is the second derivative of v(f) wrt f?\nAnswer: 12*f**2 - 672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 548774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0123 + 0.1877. Is q at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -2) + -5 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6 - 3431?\nAnswer: -3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -n, 28 + 18 = 3*i + 5*n. What is the highest common divisor of i and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 118 - (-71 + (-47 - -204))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -90763882 divided by -45381941.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.063, 39, -10126?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -13979*t - 768745. Give h(-55).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 438812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 2*h - 523 = 0, 4*p - 458 = -9*h + 4*h. Calculate the greatest common divisor of 15943 and p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that -p**3\/5 + 18*p**2\/5 - 96*p\/5 + 128\/5 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -545000 rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1022629579?\nAnswer: 1022629579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of -m**3\/5 - 21*m**2\/5 - 147*m\/5 + 16. Factor f(s).\nAnswer: -3*(s + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-57)\/(-6)*4 - -2 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -2*g - 8. Let a(n) = 10*n**2 - 22*n - 4. Let c(o) = 9*o**2 - 23*o - 5. Let u(h) = g*c(h) + 5*a(h). What is the second derivative of u(z) wrt z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 162203508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 988, 970, 914, 802, 616, 338?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -192, -297, -408, -525, -648?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, y: 1, s: 1, n: 2, x: 2, k: 1}. Give prob of sequence nyu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, c: 1, p: 6, q: 4, t: 6}. Give prob of picking 1 c and 2 q.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*j - 52*j = -4221. Let y = 417 + j. Which is greater: y or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - -7 - 5 - 1 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-5)\/i**11)\/((i*i**(7\/5))\/i**7) assuming i is positive.\nAnswer: i**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.148023961 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -320944100 by 3209441.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bapppkkpakfbppakkk. Give prob of sequence ka.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -2*o - 9. Let l be x(-6). Let g be l + 0 - (-2 + 1). Solve 0 = h + 7 - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + j = 2*m - 21161, 3*m - j = 12697. What is the second derivative of -11*o + m - 4232 + 17*o**2 wrt o?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 10.3, -2, 0, -1, 4, -0.3, -1.4 in descending order.\nAnswer: 10.3, 4, 0, -0.3, -1, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f*f**(2\/11))\/f))**(12\/7)\/((f**25*f)\/(f*f**30)) assuming f is positive.\nAnswer: f**(493\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 30 = 90. What is the tens digit of (-408)\/h + 6\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence er when two letters picked without replacement from {z: 3, u: 1, e: 1, q: 3, d: 5, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 2326046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/16 - (104\/(-32))\/13.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*d + 7. Let m(c) = -c**2 + 9*c - 2. Let o be m(d). Solve -o*n - 3 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/((r*(r**(2\/3)*r)\/r)\/r)*r*r*r**7*r*r)**(-16)*((r**(-1))**4)**11 assuming r is positive.\nAnswer: r**(-676\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**5 + 55*c**4 - 125*c**3 + 65*c**2.\nAnswer: 5*c**2*(c - 1)**2*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -5188000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - 13. Solve -2*s = -t*m - 12, 0 = 4*m + m + 2*s + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7320524 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/1 + 2 + 1. Suppose -m + a = 2*l, 1 - 26 = 5*l - 5*m. Suppose j - 500000 = -l*j. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*t**2\/7 + 53007320*t\/7 - 175610998348900\/7.\nAnswer: -4*(t - 6625915)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 236370715?\nAnswer: 5, 7, 71, 73, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -123 (b) -3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + -6. Let l be (-12)\/(-66) + 233\/d. Let m(n) = n**3 + 22*n**2 + 21*n + 4. Let f be m(l). Solve f = -h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y**5\/15 - 29068*y**4\/5 + 17440*y**3\/3 + 29068*y**2\/5 - 87202*y\/15 = 0.\nAnswer: -1, 0, 1, 43601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 5:00 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 1 + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 12.53603 to two dps.\nAnswer: 12.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -7295, -29223, -65773, -116939, -182715, -263095, -358073, -467643?\n\"Answer: y**3 - 7317*y**2 + 16*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -d**9\/336 + d**6\/90 + 5*d**3\/6 - 6*d. Let k(j) be the second derivative of y(j). Find the third derivative of k(s) wrt s.\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 63123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4004)\/(-105) + (-57 - -19).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by -1815.\nAnswer: -2\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -0*f - 3*f. Suppose 3*w - 2*q = 8, -w - 3*q = 2*q + f. Find the third derivative of 3*h**w + h**2 - 4*h**2 - h**5 - 3*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 4*i**2 + 19*i - 40. Let n be k(-9). Suppose 5*v + 50 = t - 0*v, 0 = 2*t + 3*v - n. What is the smallest common multiple of 210 and t?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 4*f + 6. Let l be i(6). Let o be (12\/(-10))\/((-12)\/l). Suppose 3*b = 3*d + o, -9 = -3*b - 3*d + 4*d. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + q = 18, -7*c + 2*c - 3*q + 24 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2164 and 6492?\nAnswer: 6492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 4*d + 45. Let u(a) = -6*a - 68. Give -8*t(q) - 5*u(q).\nAnswer: -2*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 956722.2 years in decades?\nAnswer: 95672.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 14*n + 74. Let s be d(-6). Which is greater: s or -11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (108\/3)\/(6\/(-9)). Let w be ((-26)\/3)\/((-4)\/z). Let u be ((-12)\/w)\/(2\/3). What is the closest to 0.4 in 0.4, 4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -20\/11 + 122\/55. What is the smallest value in d, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45\/(-105)*4\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 PM and 11:52 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42397981.\nAnswer: 42397981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, 1\/25, 173, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p - 8. Suppose -3*t = 2*t - 30. Let d be l(t). Let a = -2 - d. Solve a*g + 4 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, 82, 147, 228, 325, 438, 567?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 720991450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*b**2 + 8 - 3*b**2 + 8*b**2 to the form m + z*b**2 + o*b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3248 - -3989. Calculate the highest common factor of s and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is (-44)\/(-42) - 80\/60?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 3*o - 4*k + 608, o = -2*k - 203. Is (-2)\/3*o\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11248.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (2 + -1 + 4) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/19 + 9490*a\/19 + 56868\/19.\nAnswer: 2*(a + 6)*(a + 4739)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 2) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -90, -242, -482, -822, -1274, -1850?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + 6 + 8 + -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8112 and 9.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 2*b**3 + 121*b - 88931*b**4 + 88932*b**4 + 2*b**2 - 4*b**2 as u*b + r*b**4 + g + d*b**3 + a*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -18. Suppose i*o = -2*o + 22. Calculate the remainder when o is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -79655 equal to -79659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*q**4 + 22278*q**3 + 61982900*q**2 - 310783872*q - 869321152 = 0.\nAnswer: -5572, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7.198 + 0.098. Let b = -44 - -41.9. Let h = b - z. Sort 0.05, 0, h in increasing order.\nAnswer: 0, 0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - -240316?\nAnswer: 240313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 + (-3)\/(-15) + 54\/(-45). Let n be (1 - 0)*3 + -1. Let o be 2*-1*n\/20. Are o and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -33, -4, -0.3, -0.2, 14\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 1.036862762 to 2 dps.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 66713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/4 + (-15)\/(-10) + 2. Solve 0 = -l*w, 4*f + w + 15 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c + 111. Let k(v) = 37. Give -2*d(p) + 7*k(p).\nAnswer: -2*p + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 105216137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*o + 31*o + 6 = 0. What is the greatest common factor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:49 PM and 11:35 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 2. Suppose -b*i + 8 = -4*i. Solve -7 = 3*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*o**2 - 92*o**3 + 88*o**3 - 9*o**2 + 52 + 5*o**2 in the form p*o**3 + t + u*o**2 + b*o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n + 30. What is the remainder when t(-11) is divided by ((-737)\/(-77) - -12) + (-4)\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 9*j**2. Let x(m) = 12*m - 40*m + 7*m + 14*m. What is f(x(w))?\nAnswer: 441*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, u: 1, x: 2, d: 1, z: 2}. Give prob of sequence ed.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1865.47 + -2041. Round q to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2125823 + 3038344. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -61745*n. Let z(m) = 2*m**2. Determine z(h(o)).\nAnswer: 7624890050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.027 and 1614.9.\nAnswer: 1614.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 6*m**2 + 4*m + 1. Let t be ((-8)\/20 + 186\/90)*3. Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -2. Suppose q = -d - 9 - 1. Let z = 16 + d. Calculate the remainder when 10 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*p + 9 = -53*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/9)\/p**15 assuming p is positive.\nAnswer: p**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(104) + 2*sqrt(104) + sqrt(104))*6*-2)\/((3*1*sqrt(96) + sqrt(96))\/(sqrt(972)*-1 - sqrt(972))).\nAnswer: -648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -61272 divided by 2?\nAnswer: -30636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2440 in 2\/7, -5\/6, -2, -1\/4, 0.5, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i**5\/3 + 74*i**4\/3 + 43*i**3\/2 - 45*i**2 - 63*i\/2 + 27 = 0.\nAnswer: -6, -3\/2, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/32 and 35\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a8cc43 - -3?\nAnswer: -a8cc40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be 18\/5 + 42\/105. What is the closest to -2 in 3, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 721.0000334 + -721. Round x to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -412, -417, -422, -427, -432, -437?\n\"Answer: -5*d - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.49 and 6.87.\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 2:47 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 193, 1, 6491, 4 in descending order.\nAnswer: 6491, 193, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-5)*(-4)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**2 - 74680*j - 217850325.\nAnswer: 5*(j - 17435)*(j + 2499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2191*p - 1930*p + 11745 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05318 take away -3.5?\nAnswer: 3.55318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 94730 by 5.\nAnswer: 18946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, h: 3, j: 2, m: 3, k: 3}. What is prob of sequence mhk?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 877303.\nAnswer: 7, 125329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 24063, 24072, 24095, 24138, 24207, 24308?\n\"Answer: a**3 + a**2 - a + 24062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10112122 + 10?\nAnswer: -10112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 451, 902, 1351, 1798?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 335.9914 and -35.67991.\nAnswer: 300.31149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 133625 divided by 1069?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -281*o**3 + 25*o**2 + 4*o - 27. What is v(1)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from fffmm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 26*c**2 - 757 + 131*c**2 - 345 + 138*c**2 wrt c.\nAnswer: 590*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 307298*i**2. Let p(f) = -5*f**2. Calculate p(w(d)).\nAnswer: -472160304020*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 2*c + 14 = 0, -5*h = -2*c + 25 + 4. List the prime factors of ((-2)\/h)\/(1\/85).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 6*o**2 + o - 1. Let a be (1 + (-3)\/6)*2. Let m be p(a). Let f be (-2)\/6 + 68\/m. What is the greatest common factor of f and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-3))\/((-8)\/(-6)). Suppose -h = -3, -j - 4*h = -5*h + 8. Let k = 878 - 14930\/17. What is the fourth biggest value in 0.1, j, k, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114073 is divided by 336?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -4*z**3 - 373*z**2 - 42*z + 4726. Give c(-93).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -207132407*q + 499153222.\nAnswer: -207132407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15*(-3)\/(-4)*(-368)\/8280*-54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -5*h**3 - 7*h**2 - 6*h. Let c(b) = -4*b**3 - 8*b**2 - 7*b. Let n(t) = -6*c(t) + 7*r(t). Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13358 + -13356. Let m(s) be the first derivative of -1\/20*s**5 + 4 + 1\/12*s**3 + 0*s**4 + 0*s**d + 0*s. Let m(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1.5, -4, 7, -1\/10, 6452?\nAnswer: 6452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 3713 + -0.5.\nAnswer: 3712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 161 a factor of 134640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/12 - 53\/(-4). Suppose -2*z - c = -f + z, f = 2*z + 16. Calculate the greatest common divisor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h - 31 + 43. Differentiate -2 - 5 + 0*g**2 - 8*g**h wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**3 - 10*r**2 - 23*r + 45. Let y be ((-1)\/((-5)\/(-4)))\/(2\/(-35)). What is the units digit of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22674*w**2 - 133 + 24771*w**2 + 133.\nAnswer: 47445*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1927692 is divided by 243?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of k**5\/140 + 10*k**4\/7 + 222*k**3\/7 + 2555*k**2. Find o such that p(o) = 0.\nAnswer: -74, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 + -42. Let f(l) = -l - 5. Let s be f(w). Solve 8 = s*b - b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -103*f + 1851964 = 39*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 4*q - 85 = 5*c, -c + 2*q - 12 = 0. Let p = 367 - c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6982258, -1, 5, 0 in increasing order.\nAnswer: -1, 0, 5, 6982258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5130, 2\/5, 11\/4, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 111751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (108\/(-100)*-15)\/((0 - -8) + 3744\/(-480)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -50a71 (base 12) in base 8?\nAnswer: -315365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/15)\/(-4)*54\/(-9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 6 = 16. Solve 0 = -b*h - 5 - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -d - d. Let w(t) = -28*t + 289. Let h(i) = 16*i - 169. Let j(r) = -12*h(r) - 7*w(r). Let m(u) = -5*u - 6. Give d*j(a) - 3*m(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/2*(-6)\/2*11\/33?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -194400000 to the nearest 1000000.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/9)\/(8 + (-196)\/24). Let q(h) = -h. Let o(b) = b. Suppose -4*c = -n + 18, -n + 0*c - 6 = 2*c. Determine n*o(r) + t*q(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(((-170)\/17)\/(-20))*1\/(-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 734 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -236096, -236091, -236086, -236081?\n\"Answer: 5*m - 236101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2500)\/sqrt(5) - (sqrt(35)*-1)\/sqrt(7)) + -1*((sqrt(420) + (sqrt(420)*-1 - sqrt(420)))\/sqrt(7))\/sqrt(12))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2 - 105*v + 3207. What is t(-128)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -118832 or -0.058?\nAnswer: -118832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21843299 a multiple of 1439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -40624\/40089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 414811310 rounded to the nearest one hundred thousand?\nAnswer: 414800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7)\/1050*(-64)\/(-16). Which is the closest to 1? (a) -1.1 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, j: 11}. Give prob of picking 1 j and 1 d.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 94 + -49. Let c = r - 47. What is the nearest to 0 in 1, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 179.3188633 - 4357.\nAnswer: -4177.6811367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 774869 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + p - 434 = 5*w, 220 = -2*w - p. What is the common denominator of 93\/2 and (-3)\/(-30)*w\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26596 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 - 6*j**2 - 12*j - 87. What is the smallest common multiple of 174 and d(9)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3951, -15812, -35567, -63204, -98711, -142076, -193287, -252332?\n\"Answer: 2*q**3 - 3959*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 - -10. Let q be (-1)\/(16\/(-6) - h). Let r be (q + 3)\/(-2) - -2. Put 4, r, -2 in ascending order.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002644901 rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 344689227 to the power of 1\/2, to the nearest integer?\nAnswer: 18566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3*15\/(-9) + 12. Suppose x = -6*d + 19. Suppose -3*m = -7*v + 2*v + 9, -3*m = -3*v + 3. Solve -d*u + v*o + 8 - 2 = 0, 2*o + 6 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -47825.3734 - -47774.4. Let i = u - 0.7966. Let d = i + 51. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 12*u = 260. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 + 10*h**2 + 11*h. Let f be j(11). Which is the closest to 2? (a) 0.2 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g. Let q(a) = 2*a**2 + 3. Let u(n) = q(n) + 3*x(n). Let m be u(-2). What is the greatest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -9, 2, 3.\nAnswer: -9, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 25840847881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 526 is divided by 183.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2925632 is divided by 37033.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + v**2 - 4*v + 5. Suppose 0 = 4*h + 2 - 22. Suppose h = -4*p + 13. Calculate the remainder when 24 is divided by b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17, 42, 67, 92?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the first derivative of -809*c**6\/6 - 919*c**2\/2 + 557. What is the second derivative of z(p) wrt p?\nAnswer: -16180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 8*o**2 + 2*o + 18. What is d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 6*h**2 + 4*h + 7. Suppose -3*t - 3 = 3*z - 0*t, -4*z - 3*t = 2. Let w(r) = r**2 + r + 1. What is z*b(p) - 5*w(p)?\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1041852 divided by -1884.\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*o**6 + 58*o**5 + 333*o**4 + 160523*o**2 wrt o?\nAnswer: -240*o**3 + 3480*o**2 + 7992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5238)\/(-6111)*14\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {p: 1, w: 2, k: 11}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 265 = -42*p + 40*p + 7*j, 0*j + 113 = -p + 3*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -4*y - 86, -4*z - 3*y = -5*z + 45. Let x = -28 + -280. Let s = -294 - x. Calculate the remainder when z is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-3)\/(sqrt(160)*-2 + sqrt(160) + sqrt(160) - sqrt(160)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7\/5 + 6\/5. Let j = -22 + 21.8. Let t = 4.8 - j. Which is the second biggest value? (a) h (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -72.671 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8491210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1530\/240 + 6\/(-16). Solve -w + j = -4*w + 3*y, -4*y + 14 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 - 125*y**2 + 3094*y - 1. Determine j(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*h**2*s**2*y + 3623*h**2*y**3 + 2*h**2 + 3*h*s**2*y**2 - 125*h*s*y - 71*s*y**3 wrt h.\nAnswer: -14*s**2*y + 7246*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*g - 571 + 1. Suppose -41*s = -36*s + 20. Let m(b) = -b**3 - 4*b**2 - 2*b - 3. What is the remainder when g is divided by m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 - 87*t + 708. Suppose -j - 2*h = -12, -j + 0*j = -2*h - 24. What is the remainder when j is divided by c(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s**2 - 11493*s + 2935750 = 0.\nAnswer: -11743, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3859 + -3803. What is the greatest common factor of n and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 - -9.4. Let s = 0.204 + 4.796. What is the closest to -1\/4 in s, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**2 - 42*f - 1010. Calculate y(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.79 - -162.79. Let k = -81 + l. Let f = -81.00000083 + k. What is f rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -33 - -527. Let l = 715 + k. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91009747?\nAnswer: 2609, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 0. Let r = -998 - -997.9. What is the nearest to 1 in -8, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 464.7791 + 0.1.\nAnswer: 464.8791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**17\/(q\/(q*q**(-8)*q)*q) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 - r - 1. Let d be ((-10)\/15)\/(10\/15). Let j(t) be the second derivative of -t**4\/3 - 2*t**3\/3 - 5*t**2\/2 + 10*t - 7. Calculate d*j(h) + 5*l(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1736570 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 54007, 54020, 54057, 54130, 54251, 54432, 54685, 55022?\n\"Answer: 2*k**3 - k + 54006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 34536?\nAnswer: -34533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -7*k - 5*u + 92, -4*k = -3*u - 60. Suppose 3*o - k = 129. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 137460 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -5*x**2 - 6*x + 1. Suppose -5*d = 4*a + 17 + 18, -28 = 5*a + d. Let l be f(a). What is the units digit of l\/(-10) - 4\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*y = -75 - 45. Let x be (-2)\/(-4)*-9*y\/738. Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2741005.\nAnswer: 5, 548201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 + 1. Let f = 8 - 12. Let i be (3 - -1)*(-1)\/10. Which is the nearest to 1? (a) z (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + 2. Suppose -f + 8 = f, -s = w*f - 27. Suppose c - s = 3. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 177*q + 32*q + 1687 = -32*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28699503?\nAnswer: 3, 7, 1366643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -173 - -94. Let i = 78 + v. Which is the nearest to i? (a) -0.4 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**2 - 4*c + 7. Let j be y(-5). Suppose -j*k - 3 = k. Suppose 2*o + 0*o = 2*n + 8, 2*o = 3*n + 10. Is n at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -1 - (-28 - -38) - -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 30101845614 and -8.\nAnswer: 30101845606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/106)\/(((-8)\/(-36))\/(1484\/3339)).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4278567460 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*s + 48 + 28 - 99 + 23.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -273 + 275. Suppose -g - 5*y = -y - 12, -4*g = 4*y - 24. Factor -q - x**3 + g*x + 3*x - 4*x.\nAnswer: -(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-4))\/(31\/((-810464)\/(-190)))*125\/50.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*b + 3. Suppose u + 0 = -b. Let a be 2 - -12*4\/(-26). Sort a, u, 0.2 in descending order.\nAnswer: 0.2, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 5*i + 0*i**2 - 8*i - 3 + i**3 + 3*i**2. Let r be c(-3). Suppose 0 = -r*f + 9*f. Solve 2*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 12419 divided by 22801\nAnswer: 12419\/22801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/7, -0.2, 2, -263, 17, 0.24, 2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 AM and 7:00 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 9*b + 8 = 0, 5*b + 8 = -2*x. Solve 0 = -p + x - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25749 - 25744. Let x(u) = 102*u - 514. Calculate x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7575 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 978519335?\nAnswer: 5, 563, 347609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 0, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -76 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0\/(-1 - 0))\/2. Factor 2*h + h**3 - 2*h + a*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -296*y = -299*y. Which is bigger: -26\/25 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -2*d + 3. Let z(b) = -5*b + 7. Give 14*l(s) - 6*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 5*s**2 + 2*s - 2. Suppose 569 = -6*k + 557. Give l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -14. Suppose 3435 = -6*a + p*a. Suppose -5*k + 4*i = -a, 4*k - k + 4*i = 2029. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*b - 11 + 3. Let g = 554083\/35 - 15893. Let d = g - -62. Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 237 + -184. Let g be f + -51 - (56\/(-9))\/(-4). Factor g*n - 2\/3 + 2\/9*n**2.\nAnswer: 2*(n - 1)*(n + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 174207932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.41386 + 0.067527?\nAnswer: 0.481387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 7:46 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (((-36)\/540)\/((-10)\/(-25)))\/(52\/585)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -48942*x**5 + 12*x**2 - 4081*x + 776*x + 48978*x**5 wrt x?\nAnswer: 720*x**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1125 and 0.22?\nAnswer: -247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 2 = -5*m. What is the remainder when 36 is divided by 13*((-1)\/5)\/(m\/5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 756 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 3*x - 25, 6*x - 55 = x - i. Suppose x = -2*h + 20. Suppose 0 = h*t - 50 - 50. Solve -4*u = r - t, 4*u - r - 16 - 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1012536 divided by -28.\nAnswer: 36162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -203\/111870 and -61\/176128128?\nAnswer: 880640640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72324 and 1617?\nAnswer: 795564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -s - 1, 860*n - 865*n = -6*s + 109 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m**2 - 178*m. Let u(g) = 2*g - 30. Calculate u(l(z)).\nAnswer: 4*z**2 - 356*z - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2330020 - 2?\nAnswer: 2330012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of -29*a**7\/210 + 7*a**6\/30 + 137*a**5\/60 - 3*a**3\/2 + a**2 - 2*a - 823. Find the third derivative of d(l) wrt l.\nAnswer: -696*l + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 132 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 19 divided by -23\nAnswer: -19\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14\/(-126)*(2 - 8)*6\/8. Is -0.9276 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5630 = -l - d + 6006, 2*d = -l + 11639. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 12*w - 15*w. Suppose 0*u = w*u + 45. Calculate the common denominator of 21\/(-7) - 5\/u and 59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (17 + -18 + (-1 + 2 - 7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/(-57)*-2*(-12)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*z**3 - 24*z**3 - 6*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 + (15 - 41 - -4) + -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3960 and 10710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107880 is divided by 35956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-57)\/95*2565\/57.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 2457453.7 and 0.066398.\nAnswer: 2457453.766398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -95 - 103. What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45 or -0.12?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 515*x = 29*x + 1458 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3251 - -3251.4. What is the third smallest value in 244, l, -0.1?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2505168 to the power of 1\/2, to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (5*q**2 - 7*q**2 - 8*q**2)*(1 + 0 + 0)*(-355*q**2 + 199*q**2 + 468*q**2) in the form i*q**2 + g*q**4 + h*q**3 + r + b*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 6:54 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 65737959 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -238 + 234. Let l be 5\/((-20)\/(-28)) + -1. Let z be ((-8)\/(-170))\/(l\/(-15)). What is the third smallest value in d, z, -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 51, 109, 191, 297, 427?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -230*h**2 - 71*h**2 + 107*h**2 - 25*h**2 - 198*h**2. Let j(x) = -2*x. Calculate y(j(z)).\nAnswer: -1668*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6948852l in millilitres?\nAnswer: 694.8852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k - 0*k - 108. Let o = 8 - -24. What is the remainder when o is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -176 + 3*b**3 - 18 - 13 - 23.\nAnswer: 3*b**3 - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-2 + -3*(sqrt(180) + -2 + 1) + -5 + 0 + -3)**2.\nAnswer: 252*sqrt(5) + 1669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + -4 + 14\/1. Let h = c - -48. Let l = h + -20. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*l - 8*l - 2*c = 4228, l + 3*c - 2094 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.2 (c) -0.03 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 = -21*v + 153. Calculate the remainder when 54 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.3 + -0.2. Let c = -10.006 - -10. Let a = c + 0.106. What is the nearest to j in -1\/3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*t - 17*t - 13*t - 19*t + 6006 - 1735.\nAnswer: -38*t + 4271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-42)\/(-49))\/((-4)\/(-14)). Let j = 114 + -98. Suppose -14*n = -j*n + 80. Solve 2*c - 6*c + 2*u - 10 = 0, 0 = -5*c - i*u - n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/2)\/(19\/646). What is the closest to 1\/3 in 3, -2\/13, 4, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 8*v + 107. Calculate h(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 + 40 - 9)*(-3*o**3 + 4*o - 4*o)*(o + 3*o - 3*o) - 2*o**4 - 3*o**2 + 3*o**2 + (9*o**4 - o**4 - 3*o**4)*(0 + 0 - 1).\nAnswer: -61*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a**2 - 5*a + 5. Let n(b) = -2*b**2 + 4*b - 5. Let s be 10\/(-70) + 40\/(-14). Let d(x) = s*r(x) - 4*n(x). Let f be d(0). Solve f = -z - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -3*j. Let a(f) = 22934*f**2. What is a(g(d))?\nAnswer: 206406*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 - 2*p**2 + 5*p + 3. Let s be y(-3). Let t = -2 + s. Which is the third biggest value? (a) 0 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + j + 12 + 3.\nAnswer: j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 487814 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -1840*r + 2363. Let d(n) = -920*n + 1168. Let c(p) = 7*d(p) - 3*j(p). Differentiate c(s) wrt s.\nAnswer: -920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/((4*(-72)\/(-320))\/((-12)\/(-10))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6 and 6870.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 4 + 2 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.04 (b) -2 (c) 1.2 (d) 0.4 (e) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 10, o: 1, s: 6}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15255*495.\nAnswer: 7551225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -5 + (1*(sqrt(833) + 1))**2 + ((-4*(sqrt(187)*-3 + sqrt(187) - sqrt(187) - sqrt(187)))\/(((sqrt(66) - 3*sqrt(66)) + sqrt(66))\/sqrt(6)))**2.\nAnswer: 14*sqrt(17) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ui when two letters picked without replacement from iuuuuubuubuuuui?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 1510.\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(5) + sqrt(5) + 0)**2 - -5*sqrt(45).\nAnswer: 45 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 2:19 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3\/2 + 9993395*c**2\/2 - 19986793*c\/2 + 9993397\/2.\nAnswer: (c - 1)**2*(c + 9993397)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c - 6 - c**3 + c**4 - 6 + 11. Let q(i) = 7*i**4 - 6*i**3 + 6*i - 7. Let o(n) = 6*f(n) - q(n). Find the first derivative of o(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30307859.\nAnswer: 23, 197, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of -583*i**7\/42 - 331*i**4\/4 - 28*i. What is the third derivative of r(p) wrt p?\nAnswer: -34980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 24 - -4286465?\nAnswer: 4286500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-80)*8\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 5*h = 494, 9*b + 702 = 5*b - 2*h. Let r = b + 173. Let g be 4\/(-22)*2\/(-4). Is r equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4551*c + 121 + 1 + 178 = -4521*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1482 and 56.\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (10\/(-1))\/(-4 - -2). Let b be (z - 4) + 5 + 1. Let f = b + -1. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1161666697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.8 - -2. Let d = z + -0.2. Let x be (2400\/112)\/6 + -4. Which is the closest to -1\/4? (a) x (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -3*f**2 + f. Let z(w) = -w**2. Give z(h(y)).\nAnswer: -9*y**4 + 6*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.96 and 0.5.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 8:46 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-35))\/((-564)\/120 + 15\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -5, -3, 30, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -89, -944 in decreasing order.\nAnswer: -5, -89, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j**3 + 31*j**2 - 3047*j - 48491. Determine y(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 47*q**2 - 29*q - 7. Let r(j) = -16*j**2 + 10*j + 3. Give -11*r(t) - 4*v(t).\nAnswer: -12*t**2 + 6*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/78)\/((-2)\/180) - ((-2664)\/(-468))\/(-37)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17212\/5735 or 4?\nAnswer: 17212\/5735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 245 is divided by 104.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from {k: 6, v: 3, d: 8}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4*(0 + 1)*-1. Suppose -3119 = -5*k - 5*k - 2479. Calculate the greatest common factor of k and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 4. Suppose 7*n - 18 = u*n + b, -2*b = -n. Suppose 0 = n*a - 2 - 30. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 1 = 5. Let d = a + 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of 1775*l**6\/6 - 81*l**2\/2 + 16*l - 2945. What is the second derivative of a(c) wrt c?\nAnswer: 35500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -10*t - 1. Let c be s(-1). Let n(p) = p**2 - 9*p + 12. Let m be n(c). Suppose 0 = -2*w + 5*w - m. Sort 5, 1\/8, w.\nAnswer: 1\/8, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -17*l**3 - 3*l + 2. Let h(d) = 26*d**3 + 6*d - 4. Let j(m) = 11*c(m) + 6*h(m). Calculate j(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 11 = o, 2*o + 0 + 2 = -4*k. Suppose -7 = 4*z - 5*d, 0 = -4*z - 2*d + 5 + o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 4 + 0 + 1 + h + 0*h. Let l be k(-5). Solve -3*p + l*q + 2 = -q, -4 = -p + q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 126 = -5*b. Suppose 0 = 3*r - i - 4, i = -2*r + b - 3. Solve 3 = v + 2*z, 4*v + 2*z - 3*z - r = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 2*y**2 - 1 + (-2*y + 4*y + 0*y)*(-5932 - 43*y + 5932) + (0 + 5 - 4)*(0*y**2 + 3*y**2 - 2*y**2).\nAnswer: -87*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 2*a. Let p(m) = 183*m**2 + 2. Calculate p(c(q)).\nAnswer: 732*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-12)\/(-48)*(2293329 + -11 - (1 - -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6512110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -63.17556553 rounded to 2 dps?\nAnswer: -63.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = f - 242. Let n be (-2)\/5 - f\/(-810). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 26*t**2 - 2*t + 2. Let x be s(2). Suppose n = -2*n + x. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 257191 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*d - 10, 0 = 2*a - 15*d + 13*d + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -8788360 (base 10) to base 13.\nAnswer: -1a89219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1 - 5*b - 1 + 64*b**2 - 671*b**3 - 941*b**3 + 169*b**3 wrt b?\nAnswer: -8658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3723 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 1. Let r = -32 + 32.2. Sort r, 5\/2, q.\nAnswer: q, r, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*i + 4*r, i + 3*r - 11 = r. Suppose 2*t - 7*t = -10. Sort t, i, -3.\nAnswer: -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 2*h - 2*d - 12195, -4*h + d = -9753. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 2*x + 39, 0 = -a - 4*a - 5*x - 45. Let s = a + 19. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 3089388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 42801263 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes before 11:58 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 72\/4 - (71 - 48). Let n be 0 + 17 - (-4 + 3). Let t be (9\/n)\/(1\/(-8)). Which is the fourth biggest value? (a) 2\/9 (b) -1 (c) g (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = 4*g. Let o(i) = 2 + g + 2*i - 1. Calculate o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -2030?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 70742059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 11 = i, -5*i - q - 20 = -95. Let a(y) = i - 19 - 2*y + 34. Let j(w) be the second derivative of w**4\/6 + w. Determine a(j(x)).\nAnswer: -4*x**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - 26*t**2 - 507*t - 59. Give g(39).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -11. Suppose -73 = -5*z - 23. Calculate the remainder when z is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -25, -101, -225, -397, -617, -885?\n\"Answer: -24*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2597, 5206, 7805, 10388, 12949, 15482, 17981, 20440?\n\"Answer: -r**3 + r**2 + 2613*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4214203 + 40?\nAnswer: 4214243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {l: 3, g: 1, c: 1, t: 2, i: 3, u: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -20122120 (base 3) to base 11\nAnswer: -3708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.527 - -0.527. Let y = -39 - -116\/3. Suppose 3*f + 0*l + 3*l + 18 = 0, -3*l = 2*f + 13. Sort d, f, y in ascending order.\nAnswer: f, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1571 + 55012\/35. Calculate the common denominator of -31\/10 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -594 = -r + 9*v - 14*v, 0 = -4*v + 8. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 341601 and 247?\nAnswer: 341601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13856722 plus -0.093?\nAnswer: 13856721.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3400? (a) -2 (b) -1\/8 (c) 1\/2 (d) 1 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 + 2*p**2 - 10*p - 3. Let u be m(-4). Suppose -10 = 5*b + u. Let v(n) = -3*n**2 - 2*n + 1. What is v(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144*z - 2426 + 12218 = 0 for z.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -5*c**2 + 15*c + 30. Let v(l) = -l - 3. Let q(m) = 3*m + 8. Let p(b) = -3*q(b) - 8*v(b). Let u(s) = g(s) + 10*p(s). Factor u(z).\nAnswer: -5*(z - 3)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -10*y + 165. Let o be j(16). Let d(h) = 10*h**2 + 10*h - 48. What is the hundreds digit of d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 21*k - 33*k + 14*k. Let z(c) be the third derivative of c**2 - 7\/24*c**4 + 0*c**3 + 0 + 0*c. Calculate z(v(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/12 and (-280)\/18*3\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l**(-7\/6)\/l))\/(l*l**(-2\/25)*l))\/((l\/(l*l**(-4\/7)))\/(l\/(l*l**(-14))*l*l*l*l)) assuming l is positive.\nAnswer: l**(20659\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -169, -167, -179, -211, -269, -359, -487, -659?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 124? (a) -12 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010 + 11?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.11, -16.75, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9.89 - -10. Let v = i - 0.1099991. Round v to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265480183 to the power of 1\/2, to the nearest integer?\nAnswer: 16294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*d**3*l*z**3 - d**3*l + 1021*d**3*z + 9*d**2*l - d**2*z**3 + 25*d*l*z**3 wrt d?\nAnswer: 18*l*z**3 - 6*l + 6126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*a - 3*u + 5, 3*a - 5*u + 6 = 0. Suppose -a*p + 5*p = -1037836. Let q = p - -208918. Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12044111?\nAnswer: 23, 523657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 200.229, 3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a8 + -5?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 9) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u**2 + 5*u - 6. Let n be m(6). What is the greatest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 760 + -760. Suppose -8\/11 - 2\/11*b**4 + i*b + 0*b**3 + 10\/11*b**2 = 0. What is b?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -c**4\/4 - 10*c**3\/3 + 11*c**2\/2 + 3*c + 10. Let o be m(-11). Let r(y) = -y + 1. Calculate r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 282368587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 16) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -941*d**2 - 704*d + 704*d.\nAnswer: -941*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyuuuuusysuusysu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18521785.\nAnswer: 5, 23, 161059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 - 19 + 15 - 3551*g - 5837*g.\nAnswer: -g**2 - 9388*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21343742\/17 or -1255513?\nAnswer: -21343742\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 856 is divided by 845?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 17576813 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204599 is divided by 547.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9919.597 days in seconds?\nAnswer: 857053180.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 6*y**2. Let n(g) = 2*g**2 - 8266*g + 2. Give n(m(o)).\nAnswer: 72*o**4 - 49596*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, 2, 4, 7527, -1\/6, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -32515578 * -0.4.\nAnswer: 13006231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4156808 millilitres to litres.\nAnswer: 0.0004156808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5268522 (base 10) in base 2?\nAnswer: -10100000110010000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38\/((1 + 2)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y**3 + 170*y**2 + 574*y + 1025. Calculate q(-39).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1bb (base 15) in base 14?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1833 a factor of 1005555195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -24 - -34. Find the common denominator of 29\/12 and 3 - (142\/(-48) + f + -9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 7 = 10*n. Put -5, n, 2 in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -52238 or -52239?\nAnswer: -52238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + -27 - 2 - (-11 + 2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1*2)\/(-9 + 296\/32). Solve -5*d = c - v, -c - 4*d + 16 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {r: 2, i: 7, g: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2 - (17 + -19 + (1 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0263 less than 2.45980861?\nAnswer: 2.43350861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w\/(w*w**3*w*w))\/w)*w\/w**(-7))**28\/((w**0*w*w)**(1\/33)*w**5*w*w**(1\/4)) assuming w is positive.\nAnswer: w**(54607\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58626767?\nAnswer: 58626767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*u - 2*u - 6. What is the remainder when 50 is divided by (1\/u)\/((-1)\/51)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -10*p**2. Let g(v) = 559*v**2. Let x(j) = 338*b(j) + 6*g(j). Let n(r) = 2*r**2. Calculate x(n(w)).\nAnswer: -104*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00013249328 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(110)*1 + sqrt(110) + sqrt(110) + -4*sqrt(110)*2)\/(sqrt(50)\/(sqrt(15)\/sqrt(3))*-6).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 h, and 1 r when three letters picked without replacement from uhzuurmrrrmurmt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-7)*f*f\/(f\/(f*f**0))*f*f\/f**7*f**2)**(-16) assuming f is positive.\nAnswer: f**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3240033 and -4.\nAnswer: 12960132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 4*l. Let m be 36\/(-9)*2*8. Let w = 3519\/55 + m. Is w greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f - 1. Give k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by -58615341.\nAnswer: -2\/19538447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 543.481 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 4*p = -4*q + 203, 2*p - 53 = -q. What is the units digit of (41\/3)\/(17\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*l + 4*l**2 + 6*l + (-4*l + 3*l + 0*l)*(-4 + 4 + 2*l) + 1 - 1 + l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-259515)\/(-7821) - 6\/33\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1\/5, 3, 0.1 in descending order.\nAnswer: 3, 1, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 356*o**3*r**3 + 8*o**3*r**2 + 17*o**3 + 169*o**2*r - o*r**2 wrt r?\nAnswer: 2136*o**3*r + 16*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3 = -7. Let a be 54\/12 - 6\/x. Let b = 5 - a. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, -3, -2, 0.4, -2\/5 in decreasing order.\nAnswer: 0.4, 1\/4, -2\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 43 = -196. Let y = c + -36. Suppose -18 = -5*v + b, 0*b = -4*v + b + y. Solve i + 4*o = 0, -v*i - 2*i - 23 = -3*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (6 - (19 - 69)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - -1624a9?\nAnswer: 1624a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12765606 and 44268.\nAnswer: 791467572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 41503 + 270426.\nAnswer: 311929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1303 = 3*p - 2*h, -2*p = 2*h - h + 871. Calculate the common denominator of (1\/8)\/((-15)\/p) and -1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 + 22*l**2 - 25*l - 45. Let f be p(-23). Solve 0 = -h + f - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the first derivative of -k**2\/2 + 145. Let i(s) = -41*s**2 - 2. What is x(i(p))?\nAnswer: 41*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 25495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1207, 253, 1713?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 483852844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*s = 65*s + 594. Let p be 1434\/21 + (-4)\/14. Let y = p + s. Solve -5 = 4*n + 5*w, -y*n + 5*n = -3*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((12\/21)\/2)\/(3\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 38 - 38.0268. Let u = -0.0039 - b. Let p = u - 0.029. Round p to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes after 9:11 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 310 + -285. Let q(c) be the first derivative of -8*c**2 - 5*c + 1. Let p be q(-5). What is the greatest common factor of p and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 202\/(-8) + (-901 + 103)\/(-21)?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 495*j - 491*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -1.4 (c) 13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1229, -2466, -3717, -4988, -6285, -7614, -8981, -10392?\nAnswer: -11853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -323734.9008 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 172 - 167. Calculate the lowest common multiple of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2174 is divided by (-18*14\/105)\/(21\/(-2380))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g**3 + 2*g**4 + g + 0*g - g**2 + 6*g**3 - 2*g**3 + 2 to l*g**3 + s*g**4 + j + q*g + h*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -4.5 and 1.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1569905765 to the power of 1\/3, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 146153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5.6 - -3.6. Let m = z - -2.09. Round m to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/11 + 0 - (13 + -10)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -28*l**5\/3 - 27596*l**4 - 2190880*l**3 + 15408656*l**2\/3 - 1288000*l = 0.\nAnswer: -2875, -84, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1440 (base 5) to base 14\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 131 - 43. Let q = c - 90. What is the second biggest value in 17, 3, 0.2, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18344232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 25151.99333 to the nearest 10.\nAnswer: 25150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - 232523?\nAnswer: -232514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/5 (b) -125 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 0.6, -2, 2, -2139, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 423*o + 412*o - 832*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-5) - (-90)\/(-2550)*17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 637298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -17, 40, 108, 4 in descending order.\nAnswer: 108, 40, 4, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 1797 and 1799 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 213578, 427159, 640738, 854315, 1067890, 1281463, 1495034?\nAnswer: 1708603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -5*m + 5*m + 4*m + 0*m - 2*m + 4*m + (-1 - 3 + 3)*(1 - 1 + m) - 2*m + 3 - 3 + 4*m + m - 3*m - 6*m - m + 4*m as c*m + d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -310 + 198. List the prime factors of (18400\/x)\/((-2)\/14).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2\/3 - 244*g + 13186\/3.\nAnswer: 2*(g - 347)*(g - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 669 + 16 - 563 = 0. Calculate the greatest common divisor of j and 2888.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 577c (base 13) to base 9.\nAnswer: 17744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17.1 + -4.9. Let m = n - -22.425. Let c = 0.34 - m. What is c rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 845 + -838 - (-4 - -59)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 49, 73, 103, 133, 157?\n\"Answer: -l**3 + 9*l**2 + 4*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -795354 >= -795354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 302 divide 118152970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3824 is divided by 344?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 424 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of -d**3\/6 + 5*d**2 - 3*d. Let p be j(-12). Let i = 18 - 13. Solve 0 = i*c - s - 17 + 2, c - p = 4*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1267\/5 + -255. Let u = j + 34\/15. Which is the biggest value? (a) 1 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 50*g - 14. Let q(w) = 33*w - 9. Give -5*n(y) + 8*q(y).\nAnswer: 14*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -3906 by -6.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -58459709, -58459711, -58459713, -58459715, -58459717, -58459719?\n\"Answer: -2*s - 58459707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from qqtqfqffoqtqooffq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*d**2 - 4*d**2 + 3*d**2 + (3*d - 3*d + 2*d)*(d + 3 - 3) + (d - 19 + 6 + 7)*(-3*d - 7*d - 3*d).\nAnswer: -7*d**2 + 78*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 - 4*l + 4. Let j be k(5). Suppose -27 = j*w - 180. Let v = 19 - w. Calculate the smallest common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 517*p - 521*p = -4. Suppose 2*v = o - 3*o + 12, 0 = -4*o - 5*v + 22. Suppose 3*j - j = o. Solve 3*q = j*k - 3, 5*q - 4*k + 6 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001000 + 11111110111010110011?\nAnswer: 11111110111000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - ((-8 - -8) + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*s)*(-1727 - 9255*s + 827 + 900).\nAnswer: -18510*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 9*s + 1. Let m(a) = -10*a - 1. Calculate -4*m(z) - 5*o(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z + j - 13, -22*z - 4*j = -24*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(2*(sqrt(9) - (sqrt(36)\/sqrt(4) + sqrt(9)))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence raar when four letters picked without replacement from {r: 5, a: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 507*m**3 + 17*m**2 + 6*m - 63. Let y(o) = -1012*o**3 - 32*o**2 - 11*o + 125. Let n(r) = -11*c(r) - 6*y(r). Find the third derivative of n(x) wrt x.\nAnswer: 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -2. Let f = c + 6. Suppose -f*a = 8*i - 4*i - 32, 2*a - 12 = -i. Solve -2*w = -0*w - a*z + 4, 4*z + 24 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28812 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1526*x + 27925 + 18088 + 74541 for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, 4, -2, 648\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19 - -34. Let q(n) = -n + 11. Let c be q(8). Let f(w) = w**2 - w. Let g be f(c). Solve 2*p = -5*j + t, g = 3*j + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*y + 0*y + 5*y + (-y + 0 + 0)*(-1 + 3 - 1) + (10*y - 6*y - 19*y)*(-1 + 4 - 1) + 3*y + 0*y + 2*y as u + a*y and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 + 3*z**2 + 2. Let m be a(-3). Suppose m*g = -g. Suppose 4*q**3 + 2*q**2 - 2*q + 2 + g*q**3 + 15*q**5 - 14*q**5 - 3*q - 4*q**4 = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - w - 9 = -5, g - 4*w = 16. Factor 0 + 0*v + 3\/5*v**4 + 0*v**2 + g*v**3.\nAnswer: 3*v**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 207868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c**(-11)\/c))\/c)**(-13\/3)\/(c*(c*c**(-15)*c*c*c)\/c*c*c**(-19)) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 5\/4, -2593\/1689 in ascending order.\nAnswer: -2593\/1689, 0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i**(2\/5)\/i*i)\/(i*(i\/(i\/(i*i*i*i**(-3\/5)\/i*i*i*i*i)))\/i))**(-2))**(2\/37))**(-4) assuming i is positive.\nAnswer: i**(-80\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 4)*(1 - 4 + 1)*(-5*o**3 - 20*o - 26*o**2 - 35*o**2 + 60*o**2).\nAnswer: 60*o**3 + 12*o**2 + 240*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 3:03 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -300899 = -11*a - 301097 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k**4 - k**4 - 3*k**4)*(2*k - 6*k + 2*k + (-3*k + k + k)*(0 + 1 + 1)).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.2 - 4. Let y = p - -0.9. What is the closest to 1 in -2, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = 2*u + 2*u - 64, z + 5*u = -34. Let p = -22 - z. Calculate the highest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11330 (base 4) in base 9?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -6.7552 * 774\nAnswer: -5228.5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*s = 32*s - 74. Let w(h) = 7*h - 8. What is w(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = 131\/4 + -33. Is -3\/5 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -45\/164 + 4719\/164. Calculate the common denominator of u and 85\/12544.\nAnswer: 12544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-35))\/(2\/(-6)*45\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*i + 59761 - 59401. Calculate the remainder when 4424 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 20652182*b**2 + 44171968.\nAnswer: 41304364*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**2 - 9*t - 5. Let k be q(-5). Let v be (-2)\/(-5) - 6\/k. Suppose -2*h + v*h = -18. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + v**2)*(1 - 2 - 3)*(-6*v + 3*v + v) as b + n*v**2 + y*v + w*v**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2454331339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*l + 2*c, -2 - 2 = 2*c. Let d = l - -12. What is the least common multiple of d and 3*(8\/6)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -374*l = -1287*l - 56976 - 14304 - 7238 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.228 + -0.2280117. Round t to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2601487123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w**(1\/3)*w)\/w))**(-33\/4) assuming w is positive.\nAnswer: w**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*s**5\/3 - 242*s**4 - 2947*s**3\/3 + 3854*s**2\/3 + 4020*s - 3800\/3 = 0. Calculate s.\nAnswer: -38, -5, -2, 5\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*x - 12*x - 18*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 108 and 1416?\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 13ba - -13?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 - 5*s**2 - 2*s + 2. Let i = 22 + -16. Calculate the remainder when 51 is divided by a(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 25 - 7. Let i = 11 - l. Solve 0 = -i*a - 17 + 42 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -0.03 (c) 1 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1008 in -2, -5, -1\/10, 0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 235 + -74. Let q be (5\/12*2)\/(26\/156). Is 10\/q - (1 - r) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -4*i**2 - 16*i - 16. Let n(p) = 12*p**2 + 48*p + 48. Let r(j) = -3*n(j) - 10*u(j). Suppose r(q) = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*z - 4*z - 2*z**2 + 18*z + 36*z - 22*z.\nAnswer: -2*z**2 + 124*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -22 (b) 0.06 (c) 0 (d) 2\/811 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ninety-one halves of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-41)\/(-7) - (-2)\/14. Let t be 6\/(-30)*(-1 + b). What is the remainder when (2 + t)*3 - -12 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 2)\/(3 + -2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.44 to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 8 = 5*t + 18, 0 = -2*a + t + 34. Let f be 45\/a*4\/2. Differentiate 14 - 18*c - f*c - c with respect to c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - (47 - 15) - 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -151 times -0.04?\nAnswer: 6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -231 - -230.9731. Let b = -0.02 - i. Round b to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-2*(sqrt(180) - sqrt(180)*2)**2.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2558.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 38. Suppose -69*d = -4*j - 73*d - 4, -j = -4*d + 26. Let w be j\/(-21) + i\/(-28). Solve -s = -w - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 5*s - 1, -5*s + 3 = -2*s. Let l be (16\/6 + y)*6. Differentiate 0*x - 1 + 2*x + 3*x**l - 2*x wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 228.7036 microseconds?\nAnswer: 0.0002287036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -168*o**2*t**4 - 2*o**2*t**2 - 726*o**2*t - 49*o*t**2 + 1450577*t**5 - 4*t**2 + t + 6 wrt t?\nAnswer: -4032*o**2*t + 87034620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirty-three fifths of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -24*p + 1757. Determine z(73).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**2 - 10*m - 21. What is q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 4*b**3 + 4*b. Let u(a) = -5*a + 33. Let z be u(6). Let p(o) = 11*o**3 + 12*o. Determine z*p(y) - 8*q(y).\nAnswer: y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 2*d = 9, -3*a + 3*d = a - 12. Suppose 3*i + 3 = -3. Let j = -2 + i. Sort 5, a, j in ascending order.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3d572b7 - -3?\nAnswer: -3d572b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 93099.86 + -1.3303.\nAnswer: 93098.5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.984 + 0.016. Sort s, -2, -1, 1\/2 in descending order.\nAnswer: s, 1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1060838 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 4*o**2 + o + 2. Let c(q) = -9*q**2 - q - 5. Let b = -285 + 287. Determine b*c(r) + 5*p(r).\nAnswer: 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5924559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -67 + 221. What are the prime factors of c?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19869 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2\/13 - 238*b\/13 - 372.\nAnswer: -2*(b + 26)*(b + 93)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z + 0*z + 10*z + 6*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 2 + 107*b - 107*b - 14*b**2.\nAnswer: -14*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1\/7, -109, -22, -20 in ascending order.\nAnswer: -109, -22, -20, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-3*1)\/(((-42)\/(-1785))\/(40\/450))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1059669353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 5*w - 22. Let z be m(5). Let r(c) = 15*c + 4 - 3*c - z*c. Is r(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 333537749 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5465 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 540290?\nAnswer: 2, 5, 97, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 16\/837593?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 67*n - 3221. Calculate w(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (12\/(-15))\/((-4)\/50). Let t = 22 - 11. Suppose 3*o - t = p. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4a6 + 548?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2 + 0*a**2 + 0*a + 2*a + 0*a**2 + a**3.\nAnswer: a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1062, -4439, -13602, -31443, -60854, -104727, -165954?\nAnswer: -247427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 + -32 - (-10 + 2 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80 divided by 321.\nAnswer: 80\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -443.928 and 32?\nAnswer: -14205.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put together -652 and 0.304.\nAnswer: -651.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 253078293 to the power of 1\/2, to the nearest integer?\nAnswer: 15908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1095 = -a + 4*a + 2*t, 0 = 2*t. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*g - g - 2*g)*(21*g**3 - g**3 - 9*g**3).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 16 = 0, -v = g - 4*g - 420. Is v a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -42.4 - -42. Let g = 7.4 + -7. Which is the biggest value? (a) g (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 475776 and 42?\nAnswer: 475776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -144*a**5 + 3*a**4 + 6*a**3 - 2*a**2 - 25962*a + 4 wrt a.\nAnswer: -8640*a**2 + 72*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*2))*1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 26294 - -0.00408?\nAnswer: 26294.00408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, k: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of -u**7\/168 + u**5\/40 - 2*u**3\/3 - 1. Let l(o) be the third derivative of h(o). Find the second derivative of l(g) wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -6 - -8) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 9 = -h. Suppose 2*f + 50 = i + 3*i, 5*i - 65 = h*f. Suppose 736 = -2*b + i*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 936 and 1440?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -525 - 235 + 636*x**2 - 1261*x**2 + 623*x**2.\nAnswer: -2*x**2 - 760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, 0.4, -1\/15, -1\/6, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 5) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -544, -562, -604, -682, -808, -994?\n\"Answer: -2*k**3 - 4*k - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 5*j - 37. Determine t(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1103230\/3 or 367743?\nAnswer: 1103230\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7304 and 20584.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and 1.96?\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-89003.\nAnswer: -17800.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 163621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4145910 divided by 690985\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 10 = 8*o, 40 = 5*n - 4*o. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 46\/(-138)*(-183)\/(-63) + (-2)\/14?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**5)**(-5)*(f*f**(-17))\/(f*f**(2\/7)) assuming f is positive.\nAnswer: f**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is cc78 - 581?\nAnswer: c6f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 855 and 1800?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/33? (a) -0.5 (b) 5 (c) 4\/5 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**7\/f**(2\/9))**(-2\/21))**(-19) assuming f is positive.\nAnswer: f**(2318\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2*1\/20*(-30)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 24? (a) 3\/4 (b) -1 (c) 13 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (30\/9)\/(2\/24). Suppose -5*b + t = 5. Let s be 0 + 2 + -1 + 14. Solve s = -b*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -220 + 220.14. Which is smaller: 1.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100001010001100001100101 (base 2) in base 13?\nAnswer: -1a65281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1131 + -11033310?\nAnswer: -11032113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -87 - -165. Suppose -27*p + g = -26*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/298107 and -53\/395847.\nAnswer: 24146667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -42819, -43104, -43587, -44268?\n\"Answer: -99*d**2 + 12*d - 42732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 5*q**2 + 3)*(1 - q - 1)*(-2 - 1 + 1) to the form t + l*q**2 + r*q**3 + g*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 253 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 11:40 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply -153439 and 27.\nAnswer: -4142853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sum 15 and 83.901096.\nAnswer: 98.901096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 111 is divided by (28462\/(-642))\/(14\/(-12)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 6 - 6*s**2 - 1 - 5*s + s**3 - 2*s**3. Let n be l(-5). List the prime factors of (-5 - -3)\/((-2)\/n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 29 + 2*l**2 - 38 - 3*l**2 + 8*l. Calculate the remainder when 14 is divided by z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19477\/783 + -680\/27. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**2 + 0*d**2 + 4*d**2 + (-1 + 0 - 1)*(d**2 + 0*d**2 + 2*d**2))*(7*d**2 - 3*d**2 + d**2).\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 536161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20.46 - -20.96. Sort -65, 5, c.\nAnswer: -65, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 + 33. Suppose -6*l + o = -13. Let h be 8 - l\/((-28)\/12). Which is smaller: h or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -1.3. Suppose -17*u + 35 = -20 - 30. Which is the nearest to u? (a) -5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*f**3*p*u - 147*f**3*u**2 - 7*f**2*p*u**2 + 2*f*u**2 + 12*p - 4*u**2 wrt f?\nAnswer: 18*p*u - 882*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 3*m**4 + 29*m**2 - 4*m - 741. Let t(p) = -3*p**4 - 33*p**2 + 5*p + 741. Let q(a) = 5*k(a) + 4*t(a). Differentiate q(n) wrt n.\nAnswer: 12*n**3 + 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2557.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/150 and -43\/30300.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 9*r + 2*r**3 - 7*r + 15*r + 15 - 20*r**2. What are the prime factors of s(10)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-21)\/(-4) - (0 + (7 + 1 - 3)). What is the closest to -8.3 in -1\/4, w, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -82*g + 62 - 1538. Let t = -4 + 6. Suppose -60 = t*p + 2*p. Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -3*w**3\/5 - 14082858*w**2\/5 - 2816571*w = 0.\nAnswer: -4694285, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 3*y**2. Suppose 7*a = 5*a. Let q(z) be the second derivative of 1\/2*z**3 + 0 + a*z**2 + 5*z. What is u(q(h))?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the first derivative of d**6\/3 + 883*d**5\/5 - 1648*d**3 + 3678. Find the third derivative of x(s) wrt s.\nAnswer: 120*s**2 + 21192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1467, -3346, -5225?\nAnswer: -7104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (235\/799)\/(3 + 0 + 2).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hy when two letters picked without replacement from hpwpynwpvhvwwvn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2902 + 2519*u + 5809 - 1266*u - 1278*u - 2907.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -85*g - 1604*g**2 + 95*g - 10*g to the form p + i*g**2 + j*g and give i.\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -30, -24, -16, -6, 6, 20?\n\"Answer: i**2 + 3*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 13 = -3*r - 2*m, -3*m = 5*r - 9. Let q(j) = -j + 4. Let l be q(0). Let -12*a**5 + 6*a**r - 15*a**l - 16*a**5 + 7*a**5 = 0. What is a?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 59496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**3 + 39*p**2 - 26*p - 8. Does 14 divide l(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -108*q + 3099*q + 1998*q + 1286*q as w*q + f and give w.\nAnswer: 6275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -3*s**2 + 0*s**2 + 5*s**2 - 4*s**2. Let h(p) = 7*p. Let l(w) = 7*w. Let r(z) = -5*h(z) + 4*l(z). What is r(m(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/2 + -4 + 4. Let p = i - 5. Calculate the remainder when 27 is divided by (-2)\/((p\/(-21))\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = r - 5*j - 40, 3 = j. What is r rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + 76135214?\nAnswer: 76135213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -485*v**5 - 57*v**2 + 388*v**5 + 3*v**2 wrt v?\nAnswer: -5820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -7*o**3 - 2*o - 9. Let x(y) = -15*y**3 - 4*y - 19. Let r(h) = 13*p(h) - 6*x(h). Let z be r(0). Let l(m) = 2*m - 1. Determine l(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - sqrt(76)*1))*3)\/(sqrt(4) - sqrt(324)*-6).\nAnswer: 3*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7a0273 - -3?\nAnswer: -7a0270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1542, 3065, 4588?\nAnswer: 6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2263)\/3942 - 2\/(-27))*(-31 + 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.07 - 1.01. Let c = 0.9399766 + o. What is c rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -90, -136, -186, -240, -298?\n\"Answer: -2*o**2 - 40*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + h - 2 + 1, 3*g + 9 = -3*h. What is the second derivative of -g*v - v + 0*v - 2*v**2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 + 13. Solve -4*m + 4*x - 4 = 0, 2*m - k*x = x - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -140, -351, -740, -1397, -2412, -3875, -5876?\nAnswer: -8505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 37 times 9\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*i**4 - 5*i**4 - 4*i**4 + ((-3 + 1 + 0)*(1 - 1 - 2*i) + 2*i - i + i - i + 2*i + 4*i)*(i**3 - 3*i**3 + i**3).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {f: 1, e: 1, g: 1, m: 3, w: 2, o: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -495 (b) -1\/2 (c) -4 (d) -3 (e) 5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 1\/2, -4, 107?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 19715 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -283 by -12584.\nAnswer: 283\/12584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -397 - 281 = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/5))**(-18)*(h**(-3))**(-2\/85))**(2\/27) assuming h is positive.\nAnswer: h**(412\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 40172, 310, 0, -2 in decreasing order.\nAnswer: 40172, 310, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 5, n: 7}. Give prob of sequence nvnv.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 7*c + 150. Let s be z(-16). Calculate the highest common divisor of 1102 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-150)*2 - (-2)\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -295 divided by 130710?\nAnswer: -59\/26142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -45599 + -13?\nAnswer: -45601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 3 + 5*t + 13*t**2 - 4*t**2 - t**3 - 6*t**2. Let m be n(5). Let k be 33\/m + 41\/2. Solve -5*f + 3*r - 2 = 0, 4*f - 1 = -3*r + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 16*p**2 + 44*p + 28. What is m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1772 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) -1.1 (c) -3 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 362 - 142. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - a1d1?\nAnswer: -a1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) 2 (c) 4 (d) -0.0951\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48137 is divided by 423?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -20105881 rounded to the nearest 100000?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 - (-6 - (-56 + 108)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 88481677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 950 is divided by 621\/3105 + 2264\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 65*n**2*s**3*v - 4*n**2*s*v + 2*n*s**4*v + 2*n*s**4 - 2*n*s**2*v + 22*s**2*v wrt s?\nAnswer: 390*n**2*v + 48*n*s*v + 48*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 4*n**4 + 12224*n**3 - 12248*n**2 - 61152*n - 36684 = 0. Calculate n.\nAnswer: -3057, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w - 0*k + 3*k - 8, -2*w - 20 = 3*k. Suppose -30*v = -28*v + 10. Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + -23455225?\nAnswer: -23455224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2129505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.84526 + 6.0367258.\nAnswer: 5.1914658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**2\/5 - 6*o\/5 + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1187227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/3393, 26228, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12012, -18489, -24978, -31485, -38016, -44577?\nAnswer: -51174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {z: 9, o: 8, i: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 102, 345, 722, 1233, 1878, 2657, 3570?\n\"Answer: 67*b**2 + 42*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 122 (base 10) to base 4\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 287 - 4309\/15. What is the smallest value in w, -1, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 - 4. Let i be f(-2). Suppose 6*l - 10*l + 1204 = i. List the prime factors of l\/7 + 0\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -1\/5, 3, -464 in descending order.\nAnswer: 3, 0.2, -1\/5, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-12 - -8) + -1 - -16 - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l - l - l)*(4*l + 3*l - 5*l)*(2 - 1 + 2).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of z**4\/4 - z**3\/3 - z. What is the second derivative of j(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78947 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 155*m**3 - 211252632*m + 211252632*m.\nAnswer: 155*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 56116 = -6178*x - 61266 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17324 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2748, 5470, 8172, 10854, 13516?\nAnswer: 16158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 94747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -17609 and 65 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 882 + -886.13. Let h = 10 - 6. Let d = c + h. What is d rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101010 (base 3) to base 5.\nAnswer: -13002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 + 0)*(-2*y + 2*y - 2*y) + (0 - 1 - 1)*(-4*y + y + 5*y)*(4 + 7 - 3) - 2*y + 2*y + y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -18*t - 158*t + 2*t**2 - 32*t + t**2 + 5*t + (3 + t - 3)*(0 + 0 + t) - 8 + 8 + 8*t**2 + t**2 + 2*t**2 - 5*t**2.\nAnswer: 10*t**2 - 203*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -191.\nAnswer: -76.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/(6*15\/(-90))*(2 + 0). Solve -5*c = -2*z - 11 + m, -z + 2 = -3*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -n**3\/5 - 14*n**2\/5 - 49*n\/5 - 36\/5 = 0.\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14\/11 in -0.0311, 6, 169?\nAnswer: -0.0311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10883998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 953 - 54. Let p = t + -897. Let x = -15.01 + 0.01. Put 1\/2, p, x in increasing order.\nAnswer: x, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 8 = -s, -10*s + 138*c + 37 = 141*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.02? (a) 2\/13 (b) -8 (c) -2\/3 (d) -1\/3 (e) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -0.2, 1\/5, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -308599106, -617198209, -925797312, -1234396415, -1542995518?\nAnswer: -1851594621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 491085833 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 12*t. Let k(a) be the second derivative of a**4\/6 - a. Give g(k(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 26499063 - -53090937. What is r rounded to the nearest 1000000?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of 287*f**6\/120 + 3*f**5\/4 - f**3\/6 + 310*f**2. What is the third derivative of k(c) wrt c?\nAnswer: 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*l + l - 4*l**3 + 10*l**3.\nAnswer: 6*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, d: 1, s: 2, q: 1, j: 1, k: 1}. What is prob of sequence qw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -16*u - 16. Let v(i) = -3*i - 3. Let j(z) = -2*t(z) + 11*v(z). Let h be j(-4). Suppose 3*q + h = 6. Calculate the highest common factor of 7 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**2 + 30*d. Let i(r) = 3*r**2 - r. Let y(j) = 5*j**2 - 2*j. Let t(q) = -2*i(q) + y(q). Calculate t(g(k)).\nAnswer: -k**4 + 60*k**3 - 900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 63 - 63.3. Put 9, 5, q in descending order.\nAnswer: 9, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -299*b + 7*b**2 - 1 + 266*b + 1 in the form a*b**2 + t*b + f and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6312 - -6313. Do j and 20\/749 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.28442 to 3 decimal places.\nAnswer: 0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -50.4 - -50. Put -0.5, u, -1, -3 in decreasing order.\nAnswer: u, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (6 - 3)) + 1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 7, -9, 5, -6, -5, -2 in decreasing order.\nAnswer: 7, 5, -2, -4, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = 4*v + 30, 26052*v - 26056*v = 2*o + 60 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -11ba1 + -48?\nAnswer: -11be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 217 = 10*n - 33. Suppose -l = 3*j - n, l - 3*l - 20 = -4*j. Suppose -j*k = 13 - 1126. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9418466047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 232495?\nAnswer: 5, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 1, w: 3, t: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-8)\/(w**(2\/5)*w*w))**(-49)*((w*w*w*w**(1\/2)\/w*w*w*w)\/(w*w**(-2\/7)))\/(w\/(w**(-1\/3)\/w))**(-2\/51) assuming w is positive.\nAnswer: w**(5510051\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10161 and 1714951.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32, -62, -92, -122?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 415*i - 339 wrt i.\nAnswer: 415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**3 - 27*d**2 + 232*d - 5834. Calculate t(25).\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -408 + 399. Let n be -14 - s - (-3 - (-3 + 2)). Which is the second biggest value? (a) -5 (b) 2 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 88450 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 - 65. Let q = j - -70. Suppose -2*i = 3*z + 2*i - 8, -4*i = -4*z + q. Solve -2*n - 6 = z*l, -3*n = l - 9 + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 655 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the thousands digit of 13850654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 20, 73, 164, 293, 460?\n\"Answer: 19*r**2 - 4*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 191 - 2?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-11)\/(-6) + 1595\/(-1914))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 663 and 765.\nAnswer: 9945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1122010 (base 3) to base 15\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*1*(-2)\/4)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/7 greater than 62\/2457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 225 + -416. Let r = -229 - u. Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4\/61, -3, -1\/3, 1 in descending order.\nAnswer: 3, 1, -4\/61, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) - (sqrt(931) + -1) - (sqrt(19) + -1)*-6)**2.\nAnswer: -60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + -3500?\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -18279*g**4*l**2 - 4*g**2*l**2 - 105735*l**2 wrt g.\nAnswer: -73116*g**3*l**2 - 8*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**2 + 3 - 3*z**2 - 3. Let h(m) = -7*m. Give h(q(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -3*t**3 - 41*t**2 + 6*t - 43. What is the tens digit of s(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30 + 32. Suppose 3*w = w + 42. Let s be (w\/(-15) + h)\/(3\/(-15)). What is the second smallest value in -0.3, s, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of 0*g + 0 + 1\/15*g**3 + 1\/12*g**4 + 1\/15*g**5 - 2*g**2 + 1\/840*g**8 + 1\/30*g**6 + 1\/105*g**7. Factor s(o).\nAnswer: 2*(o + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 5 - (-6 - (-28 + 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -202 (base 4) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -5246.8.\nAnswer: -2623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -460*t**2 - 3264*t - 313. Give h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.9 + -91.\nAnswer: -90.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.115 from -1.17250279258.\nAnswer: -1.05750279258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-27)\/15)\/((-1)\/5). Let t = h - 6. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -4*o**4\/3 - 158*o**3\/3 - 558*o**2 - 2242*o\/3 - 722\/3 = 0?\nAnswer: -19, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*(6 + -5)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 8\/3, -0.06 in ascending order.\nAnswer: -0.06, 1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x be 15\/(1 + 4) - 1. Let i = 16 + -11. Differentiate -3*u**3 + x - i + 4 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 513 + 543 = -2*b, -3*b - 31 = 4*r. Let d(o) = o**2 + o. Let u(v) = -8*v**2 + 4*v. What is r*d(t) + u(t)?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 3555300 to the nearest 10000.\nAnswer: 3560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00686 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, -0.02, 0.86, 0.07, 3 in decreasing order.\nAnswer: 3, 0.86, 0.07, -0.02, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 4 (c) -43079 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -13015?\nAnswer: -13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 12*d + 1. Let t(x) = -149768*x - 12352. Calculate -12352*s(o) - t(o).\nAnswer: 1544*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 18 = -12*b. Let z(n) = 6*n + 5*n - 5*n - 3*n + b*n. Let d(t) = -2*t. Give d(z(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*q - 5 + 5 + (-q - 4*q + q)*(32 - 23 + 42) + (3 + 2*q - 3)*(-2 - 1 + 4).\nAnswer: -198*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 5, -1, -3 in increasing order.\nAnswer: -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20056811 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 25*y**2 - 166*y - 27. List the prime factors of i(-11).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4488*h + 7280*h**3 + 972*h**2 + 1951*h**3 + 4488*h wrt h?\nAnswer: 55386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.04 + 0.14. Let y = 4.0516 - 0.0516. Sort -0.2, y, u, 0.2 in decreasing order.\nAnswer: y, 0.2, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*s**2 + 4*s**2 + 36*s**2.\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.0578? (a) 4\/7 (b) -0.4 (c) -3 (d) 0.5 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16124267 times 11?\nAnswer: 177366937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, p: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 293189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 + 8*m - 4. Let a be g(7). Suppose -7*l + a*l + 20 = 0. Suppose -2*o - 21 = 3*b, 5*b + 0*b + 40 = -5*o. Put -4, o, l in ascending order.\nAnswer: -4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hiq when three letters picked without replacement from hqhhkiqhqqqqq?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 2*d**2 - 1 + 0*d + 2*d**2 + 0*d + (2*d - 2*d + 2*d**2)*(4 - 2 - 1) + (-5*d + 4*d + 0*d)*(-2*d - d + 5*d) + 2*d - 2*d - 3*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 42631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6333 is divided by 6285?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/6)*n**(-3)\/n*n*n*(n\/(n*n*n**(5\/2)))\/(n**2\/n))\/(((n\/n**(2\/9)*n*n)\/(n*n**(1\/8)*n))\/(n**(1\/3))**(-31)) assuming n is positive.\nAnswer: n**(-1247\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 670\/45*2538\/564.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*f = -4*g - 17*f + 76, -5*g - f = -65. Suppose -2*n + 3*k = 15, -11 = 4*n - 3*k + 16. Let s = 10 - n. What is the lowest common multiple of s and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 287 and 83722?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, 3, -23, -1, 1167 in ascending order.\nAnswer: -23, -3, -1, 0, 3, 1167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -47 = 6*l - b - 24, -l - 3*b = -b - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of 335*i**2\/2 - 4041*i - 2133. Differentiate c(o) with respect to o.\nAnswer: 335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 4*z + 4*q, -q + 1 = 2. Suppose 3*m - 3 = -3*c - z*c, -3*m = -2*c - 23. Solve 5 + m = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**5 + m**4 + m**2. Let w(v) = -2123*v**5 - 4*v**4 - 1436*v**2. Let u(n) = -4*a(n) - w(n). Find the third derivative of u(o) wrt o.\nAnswer: 127620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -66 + 62. Let s be ((-21)\/12)\/(1\/8). Let g = k - s. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 155 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*r**4 - 16853*r**2 - 5857697*r wrt r.\nAnswer: 24*r**2 - 33706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -647939*r - 18176 = -647868*r. Suppose 0 = -5*f - 341 - 934. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 6 + 3)*(-3 - 4 - 1)*(-s**4 - 4*s**4 + 6*s**4)*(-20*s + 22*s - 35*s).\nAnswer: 1056*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/36 and 173\/2433288?\nAnswer: 7299864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a - 8*a + 13*a)*(2 - 2 + 2) + a + 3*a - 6*a + (-6 - 16 + 8)*(2*a - 1 + 1).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2*34\/(-1360))\/((-4)\/(-16)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 - 59*v**2 - 146*v + 1241. Determine t(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -45, -5, 1, 1851?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (3 + sqrt(243) + 1 - (-1*sqrt(243) - sqrt(243))*1).\nAnswer: 6 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (198\/(-20)*27*(-22)\/363)\/((-1)\/5).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*w + w + 9*w to o + u*w and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 931847 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 - -3387407?\nAnswer: 3387406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + -152?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -107 - 133. What is the remainder when 20 is divided by ((-18)\/(-10))\/(18\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*(-11)\/(990\/170)*(-33)\/44\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - y = -l - 10, 2*l = -4*y - 48. Let a be (3\/7)\/((-2)\/y). What are the prime factors of (-4)\/a*18\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = 2*a + 9, 4*a + 10*o + 30 = 114 - 206 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 8*t + 375 = 0. Suppose -3*q + t = -15. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.592816 to 3 dps.\nAnswer: 0.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 52 + -56. What is the nearest to 2 in -0.1, i, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzbbzzzzz. What is prob of picking 2 z?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/4, -9\/5, 27, 3, 69, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 112115826 and 14148?\nAnswer: 224231652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -40163 + -102422?\nAnswer: -142605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11649 or -11468?\nAnswer: -11649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110487922?\nAnswer: 2, 55243961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 14639a1d + 1?\nAnswer: 14639a1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes after 10:37 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1669 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 + 4*y**2 + 4*y + 2. Let s = -9 - -6. Let c be b(s). Is (110 + 1)\/(-3)*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -358176 - -534997. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50567 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5193004\/7 or -741858?\nAnswer: -5193004\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*o - 9*o**2 + 72*o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24198?\nAnswer: 2, 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -100210 (base 3) to base 15.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 6:06 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 + 7 - -73) + -12 + -2 + (12 - -15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + ((-12)\/3)\/(-2). Suppose 0*p**3 - s*p**3 + 33*p**4 - 13*p**4 - p**3 = 0. Calculate p.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 13) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50821178257 + 0.7.\nAnswer: 50821178257.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*m - 140 = 185*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/14))**(-41\/5)\/((m\/(((m\/(m*m**(-1\/16))*m*m)\/m)\/m))\/m*m**(-29\/4)) assuming m is positive.\nAnswer: m**(3767\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*v + 57 = 3*o, 854*v = 849*v + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 3 + (-5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -12.583 times 1.499\nAnswer: -18.861917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1331486623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*v = 51*v. Solve v = -95*o + 103*o + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9283000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4388292 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 4, what is -2 - -10002133311303?\nAnswer: 10002133311301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -7*r + 31. What is m(-13)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 49.7 + -1288796203\nAnswer: -1288796153.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37 + 39. Suppose -3*b = 3*r - 54, u*r = b + 39 + 9. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 58*y = -154008. Is y a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - -3 - (-4 - -1) - (-490)\/98. Solve -8*r + a*r = 5*v + 26, v - 6 = -5*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -2 and 410.3.\nAnswer: 408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 5*u - 6. Let b be s(-12). Let d = -29 - b. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s + 3. Let j be (-26)\/7 - (-12)\/(-42). Let i(w) = 3*w - 4. Give j*n(a) - 3*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2552548 + -1454649. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 + 7*t + 4. Calculate the lowest common multiple of 4 and m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:08 AM and 11:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.172*-135868\nAnswer: -23369.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 48195197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 170530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxnnxnnxxxnxnxxxnxx. Give prob of picking 2 x and 1 n.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 2*t**2 - 6*t - 46. Let j be z(10). Do j and 95 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f*f\/((f**26\/f)\/f)*f)\/((f\/(f*f**(1\/57)*f))\/f))**(-2\/5))**(1\/3) assuming f is positive.\nAnswer: f**(410\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k**3 + 123*k**2 - 566*k - 13. Calculate f(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -115.995524 + 120.5963. Let w = -39.399238 - g. Let n = w + 44. What is n rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -12, -15, -34, -75, -144, -247?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of l**7\/840 - l**6\/90 + l**5\/60 - l**4\/24 - 85*l**3\/2 + 39*l. Let i(n) be the second derivative of u(n). Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of 61*u**8\/24 - 249*u**5\/20 - 122*u**2. Find the third derivative of r(o) wrt o.\nAnswer: 51240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = h - 20. 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 706 minutes before 9:12 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2556, 2529, 2502?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.5294809 hours?\nAnswer: 1906131.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-23 - -22)\/(1\/(-17)) + 1 + 120\/20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 113168 = -4*n + 385708, 3*n - 3*m - 204435 = 0. Is 61 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of 45*w**3 - 100 - 1\/5*w**5 + w + 0*w**2 + 1\/4*w**4. What is the third derivative of p(x) wrt x?\nAnswer: -24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 2*m, 2*m + 5 - 1 = 0. Let z(x) = 3*x**2 - x. Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the second derivative of -4\/3*b**3 - b + 24*b**2 + 0. Let u(o) = -1. Let m(j) = -d(j) - 40*u(j). Differentiate m(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 180266*r. Let b(x) = -7*x. Calculate q(b(n)).\nAnswer: -1261862*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:06 PM and 11:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**3 - 10*u**2 + 2*u + 5. What is t(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-7)\/6*118*60\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.3956 + 0.0044. Let y(t) = t**2 - 5*t + 2. Let j be y(3). What is the biggest value in -2\/17, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 24c2 + -e9?\nAnswer: 23c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-5 - 46\/(-10))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 565\/4 + -142. Let y = 0.749 + -0.449. Let p(n) = -49*n + 193. Let u be p(4). Which is the closest to u? (a) 4 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 5*z + 7552 - 1564 = 0, -4*j - 3*z + 7995 = 0. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -317*k + 17659 - 17657 + 290*k.\nAnswer: -27*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 38\/3 + (-1)\/15*-5. Calculate the highest common divisor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 2718.874mm?\nAnswer: 2.718874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h**2 - 5*h - 2. Let a be z(4). Let y(s) = 1 + 1 + 2*s + 0 - 3*s. Let u be y(0). Solve 5*k - a = -u*v, -3*v = v - 4*k + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of -2743*h**4\/4 + 2875*h**3\/6 + 7331*h. Find the second derivative of x(l) wrt l.\nAnswer: -16458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 675269.1 millilitres in litres?\nAnswer: 675.2691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 164232543 - 164232465.999939. Let j = a - 77. What is j rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.17358696 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 10:50 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -488151, -1952718, -4393693, -7811070, -12204843, -17575006, -23921553?\n\"Answer: i**3 - 488210*i**2 + 56*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 7*n - 2*n - 49 = 0, -299 = -5*b + 2*n. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44\/(-154))\/(4*(-4)\/392).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 667 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -398, -598, 0, -207 in decreasing order.\nAnswer: 0.2, 0, -207, -398, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 50 and 248?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 9 = -0*v - 5*c, c = 4*v - 11. Suppose v*n + 5*g - 73 = 0, -n + 5*n + g - 53 = 0. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -198 divided by -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = 3*f - 6. Suppose -2 - 66 = -f*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 + 3 - (0 - 3). Suppose -y = -2*q + q. Let f be (-2)\/q + 10\/16. Do f and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.01 + 798.43.\nAnswer: 798.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 67 + 1348755?\nAnswer: 1348833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 81800 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -5\/4*c**2 + 0 - 3\/4*c.\nAnswer: -c*(5*c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = m + 3*i - 3, -5*i = -m - 30. Suppose -2*y + 20 = 3*y, 0 = 3*a - y - 11. What are the prime factors of 68\/a + (-2)\/m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-91 + 91 + 21*d**2)*(3 - 4 - 6).\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 - -17. Let l(x) = -2*x - 3. Calculate l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 - 7*x**2 + 6*x + 4. Suppose -3*f + 5 + 13 = 0. Suppose -24 = -4*j - 3*y, -j + 4*y - 30 = -f*j. Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 12:12 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 6*b + 0*b)*(3 - 3 + 2*b**4).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -243*l**4 + 243*l**4 - 24*l**5 + (-l**4 + 3*l - 3*l)*(-2*l + 2*l - l) - 2*l**5 + 1 - 1 + 5*l**5 - 3*l**5 - 4*l**5 - 2*l**4 + 2*l**4 - l**5.\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**2\/2 - 2830245*a\/2 + 1415121.\nAnswer: 3*(a - 943414)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 0.22, 34, -4, -0.3, 7 in ascending order.\nAnswer: -4, -0.3, 0.22, 2\/7, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0 - ((-4 - (3 - 1)) + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5 - (-3)\/9*0. Suppose -3 - 17 = -v*p. Solve 5*h + p*y = 6, 3*h - 5*y + 30 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3265607565.\nAnswer: 3, 5, 11, 41, 160907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21864113 to the nearest integer?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 844 = 4*b + b, 4*b = 5*n - 4336. What is the tens digit of (0 - 1)\/((-18)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -59*j - 230. Let d be w(-4). Sort -74, d, 3 in descending order.\nAnswer: d, 3, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-27)\/(-6)*16\/8. Suppose j - 3*j = 5*g - 15, 0 = -j - 3*g + m. Put 4, 3, j, -5 in increasing order.\nAnswer: -5, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 132*i**2 + 4*i = 0.\nAnswer: -1\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1119 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -9704, -9691, -9682, -9683, -9700, -9739, -9806, -9907?\n\"Answer: -r**3 + 4*r**2 + 8*r - 9715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6699 and 888096.\nAnswer: 6216672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1512\/45)\/28)\/(6\/40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.5, -1, -1\/8, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/4 + -4)\/1. Let k(p) = p + 2. Let s be k(z). Let m = -10 - -6. Sort s, 2, m.\nAnswer: m, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-d**2 + 5 - 5)*(d + 1 - 1) - 19 + 5*d**2 + 425*d**3 - 7*d**2 - 4*d - 427*d**3 in the form f*d + t*d**3 + b*d**2 + x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + h - 1. Let l(n) = -14*n + 14. Let m(y) = l(y) + 14*o(y). Let b(d) be the second derivative of -d**4\/4 + 2*d + 1. Give b(m(f)).\nAnswer: -588*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v**(-12)*v\/(v\/(v\/(v\/v**3)*v)))\/(v**1)**(-46))**(-44))**40 assuming v is positive.\nAnswer: v**(-68640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -213.9 + 214. Suppose s + 6 = z + z, -4*s - z + 12 = 0. Let b = s + -5. What is the nearest to q in -0.5, b, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1441463 - 1001922. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r - 6800*r**2 + 7031*r**2 - 2*r.\nAnswer: 231*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -7, -2, -10, -4, 6, 179, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/12*9\/(81\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -74 - 248. What is the highest common factor of 46 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of -3*g**8\/8 - g**7\/210 + 11*g**5\/60 - g**4\/12 + 4*g**3\/3 - 2*g**2 + 12. What is the third derivative of l(x) wrt x?\nAnswer: -7560*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -3182059.0962712?\nAnswer: -3182058.7962712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 13 + -13 + (-1 - 1) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -118, -240, -352, -448, -522?\n\"Answer: q**3 - q**2 - 126*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -5*f - 5 + 5. Let v be m(1). Suppose 9 = k + 2*p + 13, 3*k + 3*p = -12. Sort 2, k, v.\nAnswer: v, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10424 - 0?\nAnswer: 10424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60*k - 452 = 328. Solve 0 = k*h + 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-114)\/(-10) + (-16)\/40. Suppose f = -0*z + z. Solve -3*k = 3*q + q + z, 6 = 2*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of -108*g**5\/5 + g**4\/4 + 188*g**3\/3 + 2*g + 720. What is the third derivative of h(s) wrt s?\nAnswer: -2592*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2812 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000041401 rounded to seven decimal places?\nAnswer: -0.0000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2805*a**4 + 7*a**4 - 202*a**4 + (0*a - 3*a + a)*(-a**3 + 2*a**3 - 3*a**3) to q*a**2 + m*a + v*a**3 + p*a**4 + l and give p.\nAnswer: -2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 840112 and 88?\nAnswer: 9241232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/5786186 or -1?\nAnswer: 3\/5786186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -933*b*l**2 - 192*b*l + 5 wrt l?\nAnswer: -1866*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.1, -1\/4, 25, -0.5, 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 167, -70, -2 in decreasing order.\nAnswer: 167, 5, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2982417548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2560 times -0.285?\nAnswer: 729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -225*b + 5 = -226*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -328 (base 11) in base 14?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + (5 - (0 + 5)). Suppose -5*r + 24 = 6*x - 5*x, -j*x - 3*r = -20. Suppose 500 = 3*d + 5*p, -x*d = d + 4*p - 816. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vg when two letters picked without replacement from {u: 1, g: 2, v: 2, r: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-12)\/(z*z**12*z*z*z))\/(z**(-1\/4)*z**(-2\/3)\/z) assuming z is positive.\nAnswer: z**(-313\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -4*t - 103. Let p = t + 41. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 83 + -31. Let n = 84 - z. Let a = 37 - n. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 563, 228, -1001, -3124, -6141?\nAnswer: -10052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - 0)*(-3 + -32) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -45*k**2\/2 - 267*k\/2 - 198 = 0.\nAnswer: -3, -44\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -2*k + 3 + k - 2. Let w(s) be the second derivative of s**3 - 3*s**2\/2 + 7*s. Calculate 4*d(x) + w(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -9*p**3 - 6*p + 1. Let y(v) = -19*v**3 - 13*v + 3. What is -5*n(x) + 2*y(x)?\nAnswer: 7*x**3 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -1081492*d**3 - 129779048*d**2 - 3893372160*d - 28800.\nAnswer: -4*(d + 60)**2*(270373*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -14 - 699377\nAnswer: -699391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3241764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from kgggkgzogjoggjzoggz?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (18 - (7 + -18)) + -34 - -45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kslzzuv. Give prob of sequence ls.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 6706292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 108947a (base 11) in base 12?\nAnswer: 778307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 763879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 272929865 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 11 times 19003?\nAnswer: 209033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7, j: 3}. What is prob of picking 3 x and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-8)\/(-6))\/(6\/126). Let u be 8\/l - 52\/(-14). Suppose u*w = 2 + 22. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03986 - -31814?\nAnswer: 31814.03986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 217 = -5*y. Suppose -2*x + 192 - y = 0. Suppose 0 = -4*s - 3*j + x - 4, -4*s - 2*j = -70. Calculate the greatest common divisor of 51 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**(-4\/11)*o**(6\/5)\/o*o**(-5\/3)\/o**(-1) assuming o is positive.\nAnswer: o**(28\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 7 - 7 = 5*o, -5*o = 4*z + 22. Let q be ((-6)\/(-9))\/(z\/(-3)). Which is the nearest to -2? (a) 0.3 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 3*n + 5 = 0, -n + 4 = -2*y + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 39 - 37. Put t, 6, 2\/5 in ascending order.\nAnswer: 2\/5, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 17 = 3*c. What is the second derivative of 6*z**4 + 2*z - 2*z**4 - 28*z**4 - c*z**4 wrt z?\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -18*l**3 + 1032*l**2 + 694*l + 116.\nAnswer: -2*(l - 58)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (1090\/763)\/((-2)\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13*y**5 + 4*y**4 + 2*y**2 - 7607*y wrt y.\nAnswer: 260*y**3 + 48*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j - 156 = 3*x - 4*j, -208 = 4*x - 2*j. What is the remainder when 13\/(x\/(-60)) + 0 + 2 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-481)\/104 - (-6 - -1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 433 (base 11) to base 10\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 332 + -332. Let x be (i - -1 - 1)*14\/14. Solve x = 3*k - 5*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 428.58412 to one dp.\nAnswer: 428.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 AM and 10:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -2*f**2\/7 + 270*f\/7 - 5832\/7 = 0.\nAnswer: 27, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 315741376 to the power of 1\/2, to the nearest integer?\nAnswer: 17769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22481712?\nAnswer: 2, 3, 11, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add 2 and -97.2.\nAnswer: -95.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*x + 14 - 14)*(-6*x**3 + 0*x**3 + 4*x**3) - x**4 - x**4 + 3*x**4.\nAnswer: -31*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 17 + 0 - 7*c + 11*c + 9.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(19) + (-2 + sqrt(475) - sqrt(475)) + (2 + sqrt(2299) - sqrt(2299)))*5 + 1)**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3015.168cm?\nAnswer: 30151.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (5*6\/(-45))\/(2\/(-6)) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*d + 5*b - 20, 0 = 3*d - 5*b + 41 - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*l**2 - 35*l**2 + 97*l**2 - 29*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nmnnnnnnmnn. What is prob of picking 2 m and 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**1)**(3\/4)\/(s**15)**(-11\/5) assuming s is positive.\nAnswer: s**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**2 - 14*n - 35. Give f(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4 = 0, -2*p - 396*j + 393*j = -553237. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 38 and 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*h - 3*h. Is 14\/(-21)*(-9)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 less than 509814.658793?\nAnswer: 509826.658793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 6, q: 2, c: 7, y: 1, m: 1}. Give prob of sequence ycbc.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1457.2 - -3.8. Let a = j + -1459.642. Let w = a + -0.008. Round w to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 + 10*b**2 - 11*b + 2. Let s be l(-11). Let p(h) be the second derivative of 0 + 1\/6*h**3 + h + 0*h**s. Let j(w) = 4*w. Determine p(j(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5\/((-3)\/(-6)*(-24)\/(-2)). Let i = 2.03 + 0.97. Which is the fourth biggest value? (a) i (b) -2 (c) k (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 51739*f*o + 771481423*f + 4005*o wrt o?\nAnswer: 51739*f + 4005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 2*j - 25. Let g be k(14). Suppose 2*b - 102 = -2*w, g*w + b = -b + 151. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3 - 7) + 18 + 44\/20)*(5 + 0)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4333625 divided by 4333625.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 345068.\nAnswer: 2, 281, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + -1. Let b be (-3)\/(1\/l) + -4. Find the common denominator of -77\/10 and (b\/20)\/(1\/(-94)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*f + f + 15*f)*(-4*f + 3*f - f) + 1943*f**2 + 1942*f**2 - 164 - 3887*f**2.\nAnswer: -20*f**2 - 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence smnt when four letters picked without replacement from tnttqsnmqttnqqsmqmqt.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes after 8:22 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 - 6*l - 5. Let j = 33 - 38. What is q(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -90929 + 90929 - 1596*b to v + q*b and give q.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and 59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-330)\/45 - -10) + 10\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 111000010111 (base 2) in base 5?\nAnswer: 103412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2. Let h(r) = 181910*r. Determine d(h(b)).\nAnswer: -33091248100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-177)\/1062)\/(((-66)\/36)\/11))\/(8\/(-272))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -928, -1866, -2820, -3796, -4800, -5838, -6916, -8040?\n\"Answer: -j**3 - 2*j**2 - 925*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0.001 times 2\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 - 15*f**2 - 18*f + 35. Let p be v(16). Let j be -3*8\/36*p + 4. Suppose 5574 = 2*y - 4*h, -y - j*y + 8350 = 5*h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**2\/2 - 1496*m - 1119008.\nAnswer: -(m + 1496)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3794556 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 72 + -121. Suppose -5*l + 8*l - 102 = 0. Calculate the remainder when l is divided by (-1)\/4 - q\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 + 27*y**2 - 484*y + 1623. What is d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1905231820 by -5.\nAnswer: 381046364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 742, 2263, 4566, 7651, 11518, 16167, 21598?\n\"Answer: 391*j**2 + 348*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 319\/6? (a) -0.1 (b) 1.2619 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*m**2 + 3*m**2 + 43*m**3 + 0*m**2.\nAnswer: 43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3*d**3 - 5. Let h(i) = -4*i**3 + i**2 + i + 5. Let r(o) = 4*h(o) + 5*w(o). Let a(p) = -2*p**3 + 9*p**2 + 9*p - 11. What is 4*a(v) - 9*r(v)?\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 69\/2 and 86\/107895.\nAnswer: 215790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*v = -56*v + 1496. Solve 36*q + v = 106 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23 + 68. Let u(j) = 5*j**3 - 4*j**2 + 4*j - 2. Let i be u(2). Calculate the highest common factor of i and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87 + 623 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of 3*j**6\/10 + 7*j**4\/12 + j**3\/3 - 12*j**2 + 323*j. What is the second derivative of c(u) wrt u?\nAnswer: 108*u**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from qssqsssqsss?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -254.8 times 0.5\nAnswer: -127.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + -100000011001010101011?\nAnswer: -100000011001010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29.92 + 29.32. Which is the nearest to x? (a) 5 (b) -1 (c) 33\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 193258500 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 AM and 4:42 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 5*l + 0 = -8, 0 = -5*p - l + 19. Which is the closest to 0.02? (a) -2\/5 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**3 + 13*m**2 - 8*m - 3. Let x(s) = s - 12. Let z be x(5). Let k be r(z). Let n be 40\/16*(k + -2). Solve -4*o + 7 = 5*f, 4*f = n*o - 9 - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 111043*c + 14. Let b(p) = 24*p. Calculate b(o(r)).\nAnswer: 2665032*r + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 106 * -0.5.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*1*30\/(-585)*-1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*o - 28 = 88 + 262. Solve 0 = -2*g - 3*r + 3, 2*g - 7*g - r = -o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 5:21 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2433290460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 + 0)\/(-8 - -6). Suppose -16 = 4*b - f*b. Let x = 10 + b. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30.1 + -29. Let q = -651 + 648. What is the second smallest value in -0.2, 4, q, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1155679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 7, s: 5, t: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/6*(-186)\/(-310) + 1547\/(-14)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 2*d**3 - 2*d**2 + 5*d - 2. Let q(t) = -2 - 5 - 17346*t + 17362*t - 7*t**2 + 6*t**3. Suppose -6 = 2*w - 5*w. Determine w*q(b) - 7*y(b).\nAnswer: -2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 46*k - 5. Let l(y) = -y - 9. Let w be l(-11). Let o(p) = -45*p - 3. Let i(d) = -99*d - 7. Let h(j) = 4*i(j) - 9*o(j). Calculate w*s(a) - 11*h(a).\nAnswer: -7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bfefoyfrrreooe. Give prob of sequence fo.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r - 12. Let j be d(9). Let p = j - -1. Let m(a) = a**2 + a + 1. Determine m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) 3 (c) -1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 91477.0795 rounded to the nearest one hundred?\nAnswer: 91500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i. Let y = 18 - 3. Let x(z) = -z + z - y*z**2 + 14*z**2. What is x(m(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6376481717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 14 = v + 5*n, -5*n + 20 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 804 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60*f + 66*f + 68*f + 60*f - 258*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s**2 + 6*s - 9. Let t be n(6). Let j = -24 - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 38.86792 tonnes?\nAnswer: 38867920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 4*u = -5*f + 188, -5*f = u - 89. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1439549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of l**5\/20 - l**4\/6 + l**2 - l. Suppose -f - 2*v = 3*f - 6, 2*f + 4*v = -6. Is w(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**3 - 3*r**2 + 5*r - 6. Let c be i(-5). What is the highest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 - -0.18722040418\nAnswer: -20.81277959582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*u + 12 - 37, -3*u + 5 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1210 + -3?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h + t = 17, -4*t = -21 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -636 in -0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + (-43 - -1 - (109 + -125))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -10*t**2 - 19 - 10*t + 18*t**2 - 14 - 7*t**2. Let n be j(13). Solve 15 = -k + 4*z, -4*z + 6*z = 2*k + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 414 divided by 2?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 6:36 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by 8968.\nAnswer: 5\/4484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.13 - 5.13. Let l = -6 + 8. Let f(i) = i + 19. Let j be f(-15). Which is the smallest value? (a) s (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 27*a + 7*a + 173736. List the prime factors of a.\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 205*f + 363. Let v(k) = 2*k**2. Calculate v(q(w)).\nAnswer: 84050*w**2 + 297660*w + 263538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -79.9598 rounded to one decimal place?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 6:29 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.39501538 + -1.395. What is k rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z\/((z**(-8)*z)\/z)))\/(z*z**(2\/5)*z)*z\/z**13*z**(-3) assuming z is positive.\nAnswer: z**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -255174481*f**4 + 327362990*f**2 wrt f.\nAnswer: -6124187544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5646793977?\nAnswer: 3, 11, 19, 257, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 689737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -46 times -74.343\nAnswer: 3419.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 15*t**2 - t - 1. Let r be f(-1). Let i be (r\/2 - 2)*100. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 83.1493 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*t - 17*t + 102*t - 19*t - 17*t - 18*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-7 - (17 + -24))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6458039*z**4 - 2*z**3 - 14192733*z?\nAnswer: 77496468*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2 = -0*u, 4*u = -4*y + 36. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 36749, 73349, 109803, 146111, 182273, 218289?\n\"Answer: -73*s**2 + 36819*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -12*k**2 + 2*k + 1. What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 364 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 + 30. Suppose -y*s - 342 = -22*s. Let c = 176 - s. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(0 - 2)*(-4 + -21). Suppose -3*g - g = 60. Let a = f + g. Solve 0 = v + c, -c + a = v - 5*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 17*k + 1550*k**2 - 3096*k**2 + 2*k**3 - 3 + 5*k**4 - 3*k + 1549*k**2 to the form j*k**2 + z*k**3 + r*k + t*k**4 + v and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 3 - 9 = 0. Suppose -l*j = -0 + 2. Let x = 3 + j. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5018*a - 962082 = -7089*a - 2470*a for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2870)\/3444*((-77)\/65 - -1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1440222 - -38?\nAnswer: 1440261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -94137 - -282413\/3. Solve 16*v + 2*v**2 - r*v**3 + 56\/3 = 0 for v.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -5112 (base 12) to base 10\nAnswer: -8798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 99049901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24839\/10 + 2480. Calculate the common denominator of -35\/3014 and u.\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u - 28*u**2 + 36*u**2 + 1 + 5*u**3 - 7*u**2. Give r(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-5 + 1*sqrt(363) + -1 - (sqrt(363) + (sqrt(363) - (sqrt(363) - sqrt(363)*2))*-5 + 4*(sqrt(363) + -2))))**2.\nAnswer: 264*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 238 or -549.93?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -34*o. Give r(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of y**6\/360 - y**4\/24 - 5*y**3\/2 + 21*y**2. Let j(q) be the first derivative of s(q). Suppose 88*b = 90*b. What is j(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 5*z - 23 = -6, 5 = -5*z. Let m = -4 + h. Solve t = -m*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13957 - 13939.9975. Let c = -52.4 + 69.4. Let s = f - c. What is s rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - 3 = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 435272?\nAnswer: 2, 54409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w + 14. Let y be i(-11). Suppose y*h + 147 = 5*k, -5*k + 32 + 116 = -2*h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 3. Let q(c) = 4*c**2 - 2. Let r be q(s). Factor 62*n**3 - 4*n**2 + 4*n**4 - r*n**4 - 64*n**3.\nAnswer: 2*n**2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 21, -7.4, 1\/3, 3\/10, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -135360442 (base 7) in base 14?\nAnswer: -1275492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h + 5*h - 4*w - 12 = 0, -2*w - 16 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*j = 6*j + 40. Solve z + 18 = -j*f, -5*f = z - f + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(105\/54))\/((-87)\/((-7830)\/(-60))).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/15 at most as big as -6\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (426*f**4 + 981*f**4 + 14*f**4)*(1 + 0 - 3)*(2 + 0 + 0)*(1 - 1 + 2*f).\nAnswer: -11368*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let u = -29512104 - -27446259653\/930. Let f = -2\/155 - u. Find the common denominator of f and (1 - (4 - 2))\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f - 6. Let o(m) = -1. Let h(d) = b(d) - 5*o(d). Let y(i) = -2*i**2 - 12*i + 70. Let n(k) = -4*h(k) + 2*y(k). Factor n(p).\nAnswer: -4*(p - 4)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-60)*154 + -2 + -3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-2\/7)*w\/(w*w**30))\/(((w*w\/w**(-1))\/w)\/(w\/(w\/(w\/(w*w*w\/(w*w**(1\/30))*w))))) assuming w is positive.\nAnswer: w**(-6863\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -33987\/37360 - 48\/467. What is the common denominator of m and -117\/56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2372?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qeq when three letters picked without replacement from {a: 12, q: 3, e: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 5 = r + 4*g, 5*r = -g - 13. Let t be 4\/(4\/r) + -2. Calculate the remainder when 2\/10 + (-209)\/t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 86 and 10.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.06005 * -5\nAnswer: -0.30025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - 4. Let q = -4 + s. Is -0.1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.0051 from 34.\nAnswer: 35.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 3*p**3 + 347*p**2 - 101*p + 1876. Determine m(-116).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f**2 + 22*f - 48*f - 2*f**4 + 31*f to m + w*f**3 + o*f + r*f**4 + k*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (11\/308*-12)\/(4\/7). Which is the nearest to -2\/3? (a) -2\/7 (b) -36 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011011 (base 2) to base 9.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -165*f**3 - f**2 + 4140*f?\nAnswer: -990*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13299*y**5 - y**2 + 1009*y + 3.\nAnswer: -797940*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1061775\/56 + 18961. What is the common denominator of b and -79\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 281241*j**2 + 347*j + 460?\nAnswer: 562482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2\/1149 + -256\/383. Which is the second biggest value? (a) 1\/4 (b) m (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 2086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(252) + -3).\nAnswer: -15 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of -u**6\/2 - u**5\/30 + u**3\/6 + 6*u**2. What is the tens digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 2*d**2 - 14. Let k be a(-3). Let u(y) = y + 9. Let x be u(-6). Solve k*l + 5*h = x + 6, -10 = -5*l - 5*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z**3 + 16*z**2 + 18*z + 26. Let c be m(9). Suppose 78 + 0 = c*s. Solve -s*r = 3*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**2 - 2*x**2 + 0*x**2 - 33*x**2 - 11*x**2 + 26*x**2 + (3 - 3 + x)*(-3 - x + 3) + 2 - 2*x**2 - 2 - 2*x**2 + x**2 - 3*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/8*(0 + 10). Suppose -2*f - 148 = -5*j - 0*j, -f - 32 = -j. Suppose 0*r + 32 = 5*m + 2*r, 0 = -4*m - r + j. Put w, m, -3 in decreasing order.\nAnswer: m, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + (7 - (-45 - -23 - -79)) + -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*k**3*n - 6*k**3*o*r - 10*k*n*o*r**2 - 30*k*n - k*r**2 + o with respect to r.\nAnswer: -6*k**3*o - 20*k*n*o*r - 2*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 279 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15755\/(-7020) - 3304\/579852.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 48706 and 2556?\nAnswer: 876708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 90\/240 + 55597\/8 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 6:14 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(1\/139*-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a + 2. Let d be s(0). Suppose -2*y + 4 = -d. Factor 1 + 15*i**y + 10 + 3*i**4 + 0*i**4 - 5 + 21*i + 27*i**2.\nAnswer: 3*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 4*y - 9. Suppose -y + 8 = z. Solve -15 = -z*x, 0 - 1 = -2*k + 3*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 139, 136, 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - b + 5 = -0*b, -3*b = -r + 15. Let f be r + 1\/(4\/32). Solve -5*a + q - 22 = 0, 4*q + 3 - f = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 13796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 353047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -38*w + 227. Determine f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -0.09 (c) 1 (d) -15\/14 (e) 1\/9 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49.6 - 0.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 33 = -38 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -549\/230 + 2\/23. Suppose 6*p = 4*p + 8. Calculate the common denominator of (1\/p)\/((-6)\/(-122)) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-23*d**3 + 67 - 3 - 16)*(-4*d + 3*d + 2*d).\nAnswer: -23*d**4 + 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 836 + 3399 = -385*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor x**5 + 7*x**4 + 15*x**3 + 13*x**2 + 4*x.\nAnswer: x*(x + 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 410 divide 297199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 16 - 8*w**3 + 12*w**3 - 3*w**3 + 7*w**2 - w**3 - 10*w. Give i(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 868633961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c - 4*c + 4598 = 199*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in one fifth of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (232 - 257) + (-198)\/(-6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 20180843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -f**4 + 11*f**2 - 2*f**2 + 2 - 13*f - 3*f**3 + 0 + 3*f**3 - f**3 in the form t*f + b*f**3 + u + z*f**2 + a*f**4 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.34 - -0.14. Which is the fourth smallest value? (a) x (b) 21 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l**(-1)*l*l))\/l**(-2\/7) assuming l is positive.\nAnswer: l**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1 * -0.02\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19863)\/8828*28\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.5 and 1.9.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 2 = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 10913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 + 7*y. Let d be g(6). Suppose d*m - 9 = 3. Suppose 0 = 3*u - f - 89, m*f = 3*u - 6*u + 101. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 8*b + b**2 + 35 - 19 - 1 + 4. Let g be n(-4). Solve z + 3*c = -4*z - 8, -3*z = g*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of o**6\/75 + o**5\/5 - o**4\/10 - 32*o**3\/15 - 4*o**2 + 1919*o. Find a such that g(a) = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/(-4)*(-48)\/30. Suppose d = s*d - 12. Suppose 2*w = -z + 43, 3*w - 4*w + 26 = -d*z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 + 30 - -22 - 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1675 - -774. Let s = -901.0001572 - t. What is s rounded to 6 decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ymnytynymnmmyyn. Give prob of sequence ytym.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5*y - 19 = -0*y, 0 = 5*d - y - 10. Suppose -2*r + 2 + 6 = 5*h, 7 = d*r + 5*h. Is 1\/((-2)\/4)*r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + 13a3b?\nAnswer: 13a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 2*w. Suppose -o + 45 = -w*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 2 w, and 1 f when four letters picked without replacement from {r: 1, c: 7, f: 3, z: 1, w: 4}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -4*c**3 + c**2 - 21*c - 32. Let b(t) = t**3 - t**2 + 2*t - 1. Give 3*b(r) + z(r).\nAnswer: -r**3 - 2*r**2 - 15*r - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzdzdzdddzdzdz. Give prob of picking 1 z and 3 d.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 5*d, -4*k - 5*d + 660 = 0. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - u = 29, 4*h - 4 = -0*u - 4*u. Let i be (-10)\/(-25) - h\/15. Suppose d - 2*d = i. Solve d = 5*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 13*u**4 - 4*u**3 + 5*u**2 - 5. Let v(y) = -6*y**4 + 2*y**3 - 2*y**2 + 2. Let w be (2\/(-3) + -1)*-3. Let r(q) = w*v(q) + 2*k(q). Factor r(s).\nAnswer: -2*s**3*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 n, and 1 g when three letters picked without replacement from megqinnei?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 27 = 3*s, -3*s + 33 = 4*k - 7*k. What is the thousands digit of 15*((-367)\/s)\/((-16)\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -505176809*h**4 + 432466754*h wrt h.\nAnswer: -6062121708*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of -371*w**5\/30 - w**4\/24 - 648*w**3 - 5*w**2 - 7*w - 14. Differentiate q(t) with respect to t.\nAnswer: -1484*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2057 - -4030. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 23152b93 + 4?\nAnswer: 23152b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 28*b = -60*b + 30*b - 66, -12*b = -4*f + 380 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/2)\/(((-15)\/(-24))\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -24 (base 14) to base 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 11:54 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (5 + -12) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -1038816.14 to the nearest 1000.\nAnswer: -1039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1024021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.078038 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + 0*f + 4*f)*(0 - 2 - 2) - f + 3*f - 4*f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 2*i - 82, 2*i + 56 = 4*q - 84. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 67088.48cm to kilometers.\nAnswer: 0.6708848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 912 + -910. Suppose 0 = -3*g - y*w + 2424, 3*w + 1629 = 62*g - 60*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 PM and 10:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 314*((-3)\/2)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -12262.3 (b) 1 (c) 504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6*((-6)\/2)\/(-3). Let g be (s\/(-6))\/(1\/(-5)). Suppose 2*a - g*k = 6, -2*k - 4 = -5*a + 4*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.92 - 190.08. Let f = 189.9 + i. Sort 0.5, 3\/4, f in descending order.\nAnswer: 3\/4, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -860, -2952, -6460, -11402, -17796?\nAnswer: -25660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = m + 1, -20*o + 1 = -22*o - m. Suppose o = 49*j - 54*j. Suppose 0*l**3 + 0*l**2 + 1\/4*l**5 + 0*l + 0*l**4 + j = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(1*sqrt(152) - sqrt(152)) + (sqrt(152) - -4*1*sqrt(152)) + sqrt(152))\/(-1*(sqrt(72)*1 - sqrt(72) - sqrt(72) - sqrt(8))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 468 is divided by 128?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-b + 2*b - 2*b)*(-2 + 1 + 5)*(0 - 5 - 4) to the form g*b + u and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 9 + 25003.2137\nAnswer: 25012.2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 917683 - 55?\nAnswer: 91762b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.03, 6\/7, -0.4, 176 in decreasing order.\nAnswer: 176, 6\/7, -0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3358838895.\nAnswer: 3, 5, 1231, 181903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.04992705 * -2\nAnswer: -0.0998541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 47506935 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 292 = -5*s. Let k be s\/(-10) + 5\/25. Let d = k - -33. Solve d = -2*g + g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/260*(315\/12)\/(-7) and 55\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 24\/238673 and 56\/435?\nAnswer: 103822755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 307 + -7?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -888*w - 8380*w - 710*w.\nAnswer: -9978*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 1 = -65. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -950347, -1900585, -2850811, -3801019, -4751203, -5701357?\nAnswer: -6651475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -5, 0.479?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 69*o**2 - 11*o**2 + 42*o**2 - 12 wrt o?\nAnswer: 200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 66 divided by 3271\nAnswer: 66\/3271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51121720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 3, u: 1, x: 7, m: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (17 + (-2 - 5))*-5. Let n be (q\/15 + -1)\/(4\/(-12)). Solve -n*l = -8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/104)\/(-8 + (-11)\/88*-60)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that r**2\/3 + 2454318*r + 4517757633843 = 0.\nAnswer: -3681477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 7 times 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -384 + 270. Let g = -61 - x. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (9\/((-9)\/(-2)))\/(1\/202). Let b = 737 - i. What is b rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.960048082 rounded to 4 decimal places?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -166*b**3 + 325*b**3 - 155*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(165)\/(sqrt(5) + sqrt(500)*-2))\/((sqrt(44)\/sqrt(2)*-5 - sqrt(22))\/(sqrt(2) - (sqrt(12)\/sqrt(24) - sqrt(2)))))**2.\nAnswer: 75\/5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 157428457 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p - 1. Suppose 4*t - 34 = 3*v, -4*v = -4*t - 11 + 51. What is the units digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, -7, 15, 71, 173?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 139 - 130. What is the smallest common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 3206?\nAnswer: 2\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 38070 and 53298?\nAnswer: 266490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28778 is divided by 246?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7385714 micrometers in meters?\nAnswer: 0.0000007385714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 15. Suppose k = 3*d - 2*d + 2*l, -5*l = d - 15. Solve 0*h = h + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4747 and 341219107.\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 12 = -4*j, 5*a + 10 = 5*j - 20. Suppose x + j*x = 10. Let w be x\/(-6)*3\/3. Is -0.02 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 44956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3567873373.\nAnswer: 3567873373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 912 and 2983?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 915480 divided by 18?\nAnswer: 50860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*i**6 + 2*i**3 - 208*i**2 wrt i?\nAnswer: 1440*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2*sqrt(1900)*5 + -3 + sqrt(1900) + -1 - (sqrt(1900) + (-3*-1*sqrt(1900) - sqrt(1900)) + -5 + sqrt(1900)*-1)**2)*4*3.\nAnswer: -3720*sqrt(19) + 91548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -588, -1176, -1764, -2352, -2940, -3528?\n\"Answer: -588*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 0 = s + x, -5*s - 2*x = -19. Suppose 0 = -5*h + 3*u + 2*u - s, 4*h - u = 8. Suppose -2 = -m + 4. Calculate the smallest common multiple of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 35 + 0 - 12 + 19 + 4*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -329 + 318. Do z and -78\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**3 - 13*c**2 + 10. Let f be v(13). Suppose f*a + 10563 = 13*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 673.12927 and -42180.\nAnswer: -41506.87073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 7*n + 12. Which is the closest to -1? (a) 0.1 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*m - 6. Suppose -2*x - 3*t + 34 = t, m*t = -2*x + 29. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 819 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the second derivative of -8\/45*q**5 - 256\/9*q**2 - 130*q - 256\/27*q**3 + 0 - 1\/135*q**6 - 16\/9*q**4. Solve m(j) = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1657372 is divided by 999.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2110420577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -818*q + 12. Let u be c(-5). Suppose -t = t - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j, 1 f, and 1 e when four letters picked without replacement from {r: 2, v: 3, l: 1, f: 1, j: 5, e: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 13*w - 13. What is m(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 696317 + -171716. Let i = w - 524734.9877. Let a = -134 - i. What is a rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 111893548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 15 = -5*y, -3*w - 4*y = -0*y - 23. Let v(m) = -m**2 - w + 1 + 6*m + 2 + 0*m**2. Give v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g + 2. Let d be q(2). Let l = d + -12. What is the tens digit of (8 - 2)\/(-3) - l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 5*h + 14, 18 = 5*i + 4*h. Suppose -2*v - 92 = -c - i*c, 4*c - 5*v - 125 = 0. Let t = 74 - c. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2409667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (0 + (sqrt(704) + -3 + 2*sqrt(704))*-6 + -4 + -1)*1)**2.\nAnswer: -5184*sqrt(11) + 228420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3da44 + -12?\nAnswer: 3da32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 195535683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -2*c - 55. Let z(i) = -3*i**2 + 9*i. What is k(z(h))?\nAnswer: 6*h**2 - 18*h - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.011 and -39.071.\nAnswer: -0.429781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b + 15 - 27 + 6*b + 12. Let m(x) = 18*x**2 - x. What is m(o(l))?\nAnswer: 450*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**2 - 7*x + 4. Let g be t(-4). Suppose 0*h + 5*h - 175 = g. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 5, -425, -2, 1, -4, -158 in ascending order.\nAnswer: -425, -158, -4, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -168547000 rounded to the nearest one million?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 39*h + 25. Let p be f(9). Suppose 2*m = -3*u + p - 72, -2*m = 5*u - 504. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 770 divide 201126310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 AM and 2:36 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6655928, -13311852, -19967754, -26623622, -33279444?\nAnswer: -39935208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 594960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -2*s - 15. Let l be m(-5). Let q(a) be the first derivative of a**5\/120 + a**4\/6 + a**3\/3 + 1. Let i(k) be the third derivative of q(k). Give i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 11, 19, -1, 16 in decreasing order.\nAnswer: 19, 16, 11, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 291*v = -726*v - 116*v + 49852 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 2*v = 14, -3 = -3*o - 97*v + 94*v. Let g(k) = k**3 - 6*k**2 - 1. Let w be g(6). Let d(u) = 26*u**2 - 1. Let t be d(w). Solve -s + t = o*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1034313 and 462?\nAnswer: 22754886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h**3 - 4890*h**2 - 1594140*h - 173229880 = 0 for h.\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 31.18 - 5.48. Let n = -26 + l. Which is the second biggest value? (a) -2 (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 74*n**2 + 194*n?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 120212 and 59696?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 + 7*s. Let x(v) = -2*v**2 + 56*v + 3. Let o be x(28). Suppose o*a + 2*t + 36 = -2*a, -3 = a - t. Calculate q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 5, -0.5, 3\/5, 0.092?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7159340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - ((22 - 12) + 15) - (-7 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pxxxpppxpxxpxp. What is prob of sequence pxxp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 101 - 96. Solve 0 = -l*z + 5*h + 15, -z - 5*h + 1 - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2 + 26*a - 82. Let p be i(22). Let v = 1 - 1. Suppose v*k = -p*k. Solve k*j = j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -28, -43, -58?\n\"Answer: -15*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 26 = -2*n - 5*f, -2*n + 2*f = 14. Let d(i) = 128*i**2 + 13*i + 8. What is the hundreds digit of d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 363295 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -158 - -162. Suppose 22*f**4 - 12*f**o - 13*f**4 + 22*f**2 - 10*f**2 - 9*f**3 = 0. Calculate f.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 510 = -2*i + 5*x, -5*x = 5*i - 1205. Let w = 3 - 1. Suppose 3*g + w*g - i = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 12:51 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppkpopuuklkukppu. Give prob of picking 1 l, 1 o, and 1 k.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/36)\/(35\/63)*4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 10323 divided by 529\nAnswer: 10323\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i = 4*b - 12, 26*b + 1 = 3*i + 27*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 43*u**2 + 26*u - 15. What are the prime factors of x(19)?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 AM and 8:43 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-6642)\/(-594) + (-2 - 9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/3 - 37444*c\/3.\nAnswer: -2*c*(c + 18722)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert b (base 12) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -20.49 - -20.39. Which is the nearest to v? (a) 3\/8 (b) 0.045 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*q = -7*q + 70 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 158 + -94. Let m = -63.9999953 + z. What is m rounded to seven decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -911558420 by -4.\nAnswer: 227889605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 6*s**2. Let z(b) be the third derivative of -1\/12*b**4 + 0 + 0*b**3 + 0*b + b**2. Give k(z(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 203*z**3 - z**2 - 3*z + 1. Let y be d(2). Suppose -3*n - 1283 = -4*i + 2*n, 4*n = 5*i - y. Let s = i + 152. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**3 + 4*c**2 - 4. Suppose a - 3 = -0*a. Let b be n(a). Suppose -220 = -b*v - 5*o, -4*o + 92 = 2*v - 3*o. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-13 - -7 - (-7 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 58 + (-38 - -3) + -60?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (603\/(-3))\/(-3) + -3. Suppose 35 = 2*z - 103. Let g = z - x. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -307 - -307.8. Round s to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7.39 and -0.2.\nAnswer: -1.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40 - 20*f - 11*f + 30*f.\nAnswer: -f - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 - 6*c. Let f be x(5). Let p be ((-28)\/10)\/1*f. Let y = 65 - p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 840*u**3 - 1476*u**3 - 2343*u**3.\nAnswer: -2979*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -1739 (base 12) to base 4.\nAnswer: -223131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1932765810 less than -3?\nAnswer: -1932765813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 387 and 3425853?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 213, 404, 577, 726, 845, 928, 969, 962?\n\"Answer: -w**3 - 3*w**2 + 207*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3161 is divided by 199?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1419)\/99 + (10\/(-55) - (-2320)\/176)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 72 = -3*a + u, 5*a + 2*u + 141 = 0. Let o(k) = -k**2 - 14*k - 15. Let m be o(-15). Let d = a - m. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1854, 5666, 8830, 8736, 2774, -11666, -37194, -76420?\n\"Answer: -435*s**3 + 2286*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 32335060 (base 7) in base 8?\nAnswer: 12430774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*f**2*s**3*x + 338*f**2*s**3 - 2*f*s**3*x - 2*f*s**2*x - 6*s**3*x + 12*x wrt f?\nAnswer: 6*s**3*x + 676*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 210 - 433*c + 911 + 431*c + (1 + 0 + 1)*(-4*c - c + 7*c) + c - 3*c - c.\nAnswer: -c + 1121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 39370243183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -623 + 977. Which is the biggest value? (a) -4 (b) m (c) -2\/13 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 42 + -23. Suppose 264 = 23*m - t*m. Suppose -18*s + 19*s = m. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 172\/12 + 2\/3. Let r be 2 - ((-128)\/v)\/(-4). Let g be 1 + 1 - (-21)\/(-12). Which is the biggest value? (a) 1\/3 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 5*d**2 - 5 + 0*d**3 - d**3 + 2*d**3 - 9*d. Suppose -62*y + 15*y - 282 = 0. Give g(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 38*t**3*v**3 - 21*t**3*v**2 - 40*t**2*v**3 + 1041*v wrt v?\nAnswer: 228*t**3 - 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**2 - 19648*h + 8705156.\nAnswer: -4*(h - 409)*(h + 5321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*v**3 + 3*v**3 + 2*v**3)*(0 + 0 + 2 + (-2 + 2 + 2)*(-3 + 1 + 0) + 47 - 8 + 18 - 2 - 3 - 3) to c*v**3 + h*v + b*v**2 + z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.4606 + -1.0606. Let v be (-1 - -18) + 3\/6. Let q = -15 + v. Which is the third smallest value? (a) -0.1 (b) h (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -280.7 + 180.7. Which is the smallest value? (a) -0.2 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 832 divided by 832\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of v**5\/60 + v**3\/6 - v**2\/2 - 3. Let w(p) be the second derivative of m(p). Calculate w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 0 + 6 + 2*y**3 - 4 + 7*y - 8*y**2. Let r be i(5). Suppose 3*f - 212 = w - r, f - w = 39. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5232 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of -r**5\/20 - r**4\/12 + r. Let i be (4\/(-52))\/(4\/(-52)). Let k(x) = 2*x**3 + 0*x**2 + 0*x**2 - x**2. Calculate i*k(g) - m(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3589990 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 10 + 15. Suppose -5*f - 5*y = 15, -5 = -4*y - t. Suppose 0*c - f*c = -44. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 146 - -260. List the prime factors of y.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**15\/(j**(-2\/3)\/j*j))\/(j**(-10)\/((j*(j**(-3\/8)*j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(631\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30328*d**6*n + 489*d**3*n + 3*d**3 - 3847*d**2*n + 3729*d*n + d - 2*n wrt d?\nAnswer: 3639360*d**3*n + 2934*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*z**5 - 5*z**5 + 2*z**5 + z**3 + 717*z**5 + 0*z**3 - 718*z**5 + 4*z**5 - 2*z**5 + z**5 + (2*z - 5*z + 0*z)*(0*z**3 - z**4 + 0*z**3).\nAnswer: 7*z**5 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/3 + ((-186)\/4)\/(-31) + (-19756)\/(-264).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -54848.7 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (78\/18 - 5)*12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -3\/5818595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -985.1 + 893. Let n = t + 92. Which is the nearest to 0.1? (a) n (b) -3\/7 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4144903.6141 - -0.549.\nAnswer: 4144904.1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together -157279.890154411 and -0.2.\nAnswer: -157280.090154411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 21\/19, -4102, -2\/15?\nAnswer: 21\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 6015, 23, -11 in descending order.\nAnswer: 6015, 23, 7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**0*t)**(19\/5)*t**(-4)*t*t*t*t**(-4) assuming t is positive.\nAnswer: t**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -22. Let h = u - 25\/2. Sort 4, -4, h in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*-1*(-528)\/2772?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 232998146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -594?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7\/(-42)*-2 + (-23)\/(-3). Solve -13 = -m*q - 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 155203*c*d**2 - 160750*c*d wrt d.\nAnswer: 310406*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 3*d**2 + d + 2. Let v be h(-1). Solve a + 6 = v*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s + 587. Let n(c) = 14*c + 440. Let l(d) = 2*d + 60. Let j(f) = -22*l(f) + 3*n(f). Calculate a(j(y)).\nAnswer: 4*y + 587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s**3 - 2*s**2 - 2*s**3 - 30*s + 2*s**2.\nAnswer: s**3 - 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*l**2 + 6*l**2 + 2*l**2 + 7*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 18860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.13 and -2.7.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 75\/1265656 and -65\/194.\nAnswer: 1265656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 3\/7, -0.4, 0.085, 4\/5?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of m**6\/2 + 9*m**5\/5 - 3*m**4\/4 - 3*m**3 + 1046. Find f such that a(f) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**3\/2 - 195*y**2\/2 - 1563*y - 4788.\nAnswer: -3*(y + 4)*(y + 19)*(y + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 - -14. Let v(y) = 31 + 37 - 68 + j*y. Let c(r) = -11*r. Calculate c(v(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2183\/2 - -4363\/4. Let q be (-13)\/(-4) + -2 - 4\/8. Sort -11, q, j in decreasing order.\nAnswer: q, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 162360 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-175)\/7)\/((-1180)\/1298).\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -7*k + 42. Calculate the highest common factor of k and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 125.7356l to millilitres.\nAnswer: 125735.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 471, 899, 1327, 1755, 2183?\n\"Answer: 428*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9488760 and 21824148?\nAnswer: 218241480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1286192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 d, and 1 u when three letters picked without replacement from {u: 1, a: 1, m: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, g: 1, c: 7, b: 5, q: 5}. Give prob of picking 2 q and 2 c.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d + n - 19, -77 = -7*d - 3*n - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the third derivative of -5*g**4\/24 + g**2. Let w(c) = -c + 3*c - 4*c + 2*c - 2*c**2. Give w(u(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 47*u**3 + 12*u**2 + 14*u - 54. What are the prime factors of k(5)?\nAnswer: 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 AM and 3:40 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -14*i**3 - 8*i**2 + 20*i - 17. Let f(h) = -5*h**3 - 3*h**2 + 7*h - 6. Determine -8*f(l) + 3*m(l).\nAnswer: -2*l**3 + 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 270704326?\nAnswer: 2, 135352163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (182\/21 + -7)\/(-1) - (-6)\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 10:39 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3348 is divided by 176\/48 - 3 - (-7509)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -8*b**3 + 11*b**2 - 2*b + 2. Let c(s) = 24*s**3 - 33*s**2 + 7*s - 7. Let l(n) = -2*c(n) - 7*i(n). Find the third derivative of l(r) wrt r.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 999*o - 1015*o + 2560. What is the remainder when o is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -199 and -0.367.\nAnswer: 73.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**11)**49 assuming h is positive.\nAnswer: h**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*u - 19. Suppose -5*z = 3*t - 0*z - 36, t - 23 = 2*z. Suppose 0 = -4*g + 3*r - t + 360, -g + u*r = -89. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 818105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than 0.0314295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvnvvvvvvvnvvvvnvvv. Give prob of picking 4 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from dnvvddvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l*l**(-5\/4)*l)\/l*l*l**(5\/2)\/l*(l**(-6)*l)\/l**(-5\/4) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 15, 2*y + 2*l - 5*l - 39 = 0. What is the greatest common divisor of y and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 3 - 4)*(116*p + 49*p - 82*p)*(p**2 - 2*p**2 - 2*p**2) to d*p**2 + w + m*p**3 + k*p and give m.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes before 10:41 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, -37, -1, 2\/27.\nAnswer: -37, -1, 2\/27, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13014940949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 94*g + 21258. Give h(-224).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 0*h + 2*b + 74 = 0, 0 = 3*h - 2*b + 52. Let a be h\/(((-2)\/(-3))\/(-2)). Suppose -4*g + 150 = a. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 23\/3*(105 - -27). Calculate the greatest common divisor of 44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 4, 8.224, 8\/5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**3\/6 - 3*d**2\/2 + d. Let t be u(3). Suppose t*o - 27 = -3*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from ihaihidadagaaddaai?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p + 1. Let c(r) = -4*r + 2. Let h(z) = -c(z) + 2*x(z). Let j(y) be the second derivative of 0 + 7\/6*y**3 - 10*y + 0*y**2. Determine j(h(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/3*(-2)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00021165 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 i, 1 n, and 1 s when four letters picked without replacement from {i: 2, a: 3, d: 1, s: 3, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 138 divide 10114434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 - j**3 + 9 + 2*j**3 + 13*j**3.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -30, 66, 158, 246, 330?\n\"Answer: -2*d**2 + 102*d - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -221190 - -312717. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 416936711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20*(-45)\/96*(9\/135)\/((-2)\/(-40)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 43*g**2 - 8*g + 8. Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of 7*n**4\/24 - n**3\/2 + 3*n**2. Is 6 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 + 8*u**2 - 13*u + 8. Let o be r(6). Let a = 21990 - 15022. Suppose o*d - 1952 = 2*j, -3*j + a = 5*d + 2112. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.21 + 0.01. Let h be ((-16)\/30)\/(32\/48). Let j = 3 - 3.1. Which is the nearest to j? (a) 3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 - -3. Let k be y\/6 + 263\/6. Suppose 0 = -4*r + 12 + k. Calculate the remainder when 41 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n - 6. Let k be w(-4). Let s be 2*(-10 - k - 2). Let q be (-10)\/35 - 22\/s. Which is smaller: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 7*b**2 - 8*b - 5. Determine o(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is v in 3*v**5\/4 + 69*v**4 + 6369*v**3\/4 + 12909*v**2 + 42939*v + 50220 = 0?\nAnswer: -62, -18, -5, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3448229.\nAnswer: 17, 23, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 23.5?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -5*c - 14952 + 10*c - 7*c + 14952. Let y be 4\/10*2*5. Let v(h) = 6*h**2 + y*h**2 + 4*h**2. Give v(r(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u - 4*p = -10*u - 25, 3*u = 3*p - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1 + 2\/((-16)\/(-264)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -5*a**4 + 11*a**4 - 21*a**4 + (5*a - 5 + 5)*(2*a**3 + a**3 - a**3) - 2*a**4 + 2 - 2 as r*a**2 + c*a + w*a**3 + v + j*a**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11495953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 29 - 29. Which is the closest to k? (a) -1\/7 (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 639 divide 1816127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 + ((-10)\/1 - 2). Let t = -4 - m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -220012, -220011, -220010, -220009, -220008, -220007?\nAnswer: -220006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8803.000021833 - -8803. What is d rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*l + 5*l + 132. Solve 2*p + 2 = 2*z, 5*z + p - l = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (34\/85)\/((-18)\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -57*t - 1359 - 1352 - 1354 + 4067.\nAnswer: -57*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 3*k = -k + 25, 4*k = 16. Let z be 2*(-1 + 3 + -3). Sort z, 5, d in increasing order.\nAnswer: d, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-550)\/25 + 58\/((-4118)\/1775).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(816)*2)\/(5*(sqrt(147) + sqrt(147)*-2)).\nAnswer: 32*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15105 and 5035.\nAnswer: 15105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -174*f**3 - f**2 - 31*f + 1. Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 0 + 16 + -14 + 6 + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 - 3*o**2 - 6*o + 6. Suppose 22*r - 33*r + 44 = 0. What is v(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2742*g + 5492*g - 1302*g**2 - 2750*g.\nAnswer: -1302*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + 1b0b9?\nAnswer: 1b0c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 142050445 + -14?\nAnswer: 142050431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) -2\/125 (c) -0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1022, 3130, 6644, 11564?\nAnswer: 17890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (30*g**2 - 37*g**2 - 11*g**2 + (g**2 + 1 - 1)*(1 - 4 + 4))*(-5*g**3 - 3*g**2 + 3*g**2).\nAnswer: 85*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 33\/(-7) - 2\/7. Let l = -6 - d. Does 8 divide (l - 0) + -1 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 315130 is divided by 1262?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 18 and -43.824?\nAnswer: 61.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3840 = 11*s - 5523 - 131417. Does 50 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*r - 208 = -69*r. Let b be ((156\/r)\/(-13))\/(1\/(-4)). Solve b*u = -2*o + 4*u - 7, u + 7 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 132 = 3*p + 152, r - p - 5 = 0. Solve -4 = -3*s + r*a + 4, -5*a = 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 2*u + 2 - 2)*(250*u + 293*u + 579*u) to the form r*u**2 + w*u + h and give r.\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 21 + 8 = 3*g, 6 = 2*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = 5*w - 3*p - 2*p, -p - 54 = 3*w. Let a = w + 9. Let z(g) = g + 10. Let j be z(a). Solve b + 3 = -j*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 355382287 and 20072?\nAnswer: 2509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48\/10 - 8\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3621, -14594, -32885, -58494, -91421, -131666?\n\"Answer: -3659*f**2 + 4*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -2*a**2 + 74*a - 264 = 0. Calculate a.\nAnswer: 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 2*k - 13 = 37, -50 = -5*l + 3*k. Solve l + 2 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of 0*n**4 + 3 + 7\/5*n**5 + 9*n**2 + 0*n + 0*n**3. What is the second derivative of c(h) wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 3*x = -0 - 12, -15 = 5*q + 4*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**2 - 3*w + 5. Let c be o(2). Let q = -2 - c. Let n = q - -7. Solve 3*d - n*g = -10, 20 = d - 6*d + 4*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the second derivative of j**4\/12 - j**3\/6 + 185*j**2\/2 + 2*j. Suppose q - 4*t - 5 = 7, 4*q - 12 = 4*t. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/3 - 9\/(-18) and -103\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, 14171, 26, -2 in increasing order.\nAnswer: -2, 0, 2, 26, 14171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 15*d + 19. Let n be ((-14)\/8)\/((-1)\/4). Let g = -19 + n. Is w(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -198 * -14.7.\nAnswer: 2910.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -4*w**2. Let g(p) be the third derivative of p**5\/60 + 3*p**2. What is o(g(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(0 - 2) - 1. Let w be -16*(f + 0)\/(-1). Let s = w + -10. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -2*a + 4. Let s be w(6). Let m = s - -13. Let v = 40 - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -2*d**4 + 6*d**3 - 2*d**2 - 53*d. Let q(g) = g**3 - g**2 - g. Let z(j) = o(j) - 2*q(j). What is the second derivative of z(y) wrt y?\nAnswer: -24*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -9 + -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + 4 + 6 + -15 + (42 - -8).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0060008878 to four dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 10*u**2 - 362*u + 63. Determine l(36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-978)\/163)\/(1*-3) - -28\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -495 - -498. Solve -4*k + r*k - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (96\/28)\/((-430)\/70 + 6) - 14\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1b (base 16) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - x - 40. Does 28 divide (24\/x)\/(3\/(-140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -221, -4, 3, -5, -25.\nAnswer: -221, -25, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -43*i + 1. Let h be d(-1). What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 120 = -l. Suppose 0 = y + 9*y - l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 43*q + 13. Let b(j) = 68*j + 19. Let w be 160\/64 - 11\/(-2). Let m(v) = w*f(v) - 5*b(v). Determine m(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -33\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**3\/(s\/s**(2\/3))*s**(10\/7)*s*s**(2\/29)*s assuming s is positive.\nAnswer: s**(3754\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -1207*y**2 + 1212*y**2 - y + 2 - 1. Let l = 0 + 1. What is the units digit of z(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - -4. Let p be (1 - 3\/y)*10. Suppose v = -5, p*v + 15 = -i + 2*v. Solve -2*l - 3*o = -4*o + 5, i = 4*l - 5*o + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -83 + 118. Suppose -h + f = -0*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - 2 - -11 - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 + -8. Let i(v) = q*v - 4*v - 3*v + 5*v. Let l(d) = 3*d + 0*d + 2*d. Give l(i(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -26 + 30. Solve -w*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 AM and 11:11 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -28 divided by 17376581?\nAnswer: -28\/17376581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 86, 621, 2068, 4883, 9522?\n\"Answer: 76*u**3 + 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12337074, -24674127, -37011180, -49348233, -61685286, -74022339?\nAnswer: -86359392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 17 (b) 8\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 69839375 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -38\/935 and 19.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 35470656 and 20736.\nAnswer: 425647872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 156969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1442 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of 0*k + 5 - 10\/3*k**3 + 0*k**2. Let a(n) = -n. What is a(h(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 46*y**2 - 21*y**2 - y**2 - 15 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4167a - -b?\nAnswer: -4166b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*s + 148 = 0, -2*v + 2*s = 24 + 48. Let i be v\/(-3)*(-9)\/6*-4. Let j = 115 - i. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1176603008 to the nearest integer?\nAnswer: 34302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*j + 43 + 83. What is the greatest common factor of 198 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -2.5. Let r = 0.925 + 0.075. Suppose -3*a + 8 = -5*j, -3*j - 5*a - 28 = -j. What is the nearest to r in t, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10222151087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 2, 0.3, 6.2, -4 in ascending order.\nAnswer: -4, 0.1, 0.3, 2, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1185.03 + -1178. Let p = d - 7. Let n = p + 0.07. Which is the closest to -0.1? (a) -2 (b) 2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-108260)\/8*((-8)\/(-5))\/(-1). Suppose -1987 = -11*x + t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x**3 + 32 - x**3 + 32*x**2 - 2*x**3 - 20*x**2. Is t(8) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 656 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 62008, 123535, 185024, 246457, 307816?\n\"Answer: -3*t**3 - t**2 + 61551*t + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(20\/(-40)*(-2)\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.17 (b) 4 (c) 0.06 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165495 is divided by 504.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 14 = -2*p + 44, 3*p = 3*n + 9. Factor -5*s**5 - 3*s**3 + 0*s + 2*s + 33*s**3 + p*s + 6*s - 40*s**2.\nAnswer: -5*s*(s - 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + (1*sqrt(76) + sqrt(76))*6 + sqrt(76))\/((sqrt(132)\/sqrt(3))\/sqrt(11)).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201 is divided by 112.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 168*b**3 + 53*b**3 + 80*b**3 - 303*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x**3 - 17*x**2 + 29*x - 102. What is the tens digit of u(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2546 is divided by 2263?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7)\/((-210)\/50) + 152\/6. Solve 0 = -10*a + a + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6310*i + 13534 = 12407*i - 6231*i for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**3. Let o be t(-1). Let z be 6 - (0\/(-2) - o). Put 0, -2, z in descending order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 153510 and 9435.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*c + 54*c - 178 = -1480 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 831420.7nm in centimeters?\nAnswer: 0.08314207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2751647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 275 - 260. Suppose j*o = -o. Solve 2*z + d = -o*d + 3, -11 = -5*z + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 369*j - 5884. Give y(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/14 + 4125\/7. Suppose 0 = -2*l - 3*a - 552, 2*l + 0*a + 556 = -2*a. Let j = l + z. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001842878 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a**3 + a**3 - 3*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the third derivative of -61*d**6\/60 - d**5\/20 - 85*d**3\/3 - 66*d**2 + 2. Find the first derivative of h(u) wrt u.\nAnswer: -366*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 2 - 18 = 0. What is the lowest common multiple of v and (-100)\/(-40)*-1*(-354)\/15 - 2?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4213201 - -5?\nAnswer: -4213152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - 18.1. Put -3, 2, o in ascending order.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*k**3 - k - 12223*k**4 + 12219*k**4 - k**2 - 2*k to the form q*k**2 + w*k**4 + g*k**3 + z*k + o and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2502756?\nAnswer: 2, 3, 19, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*(-1 - 5\/5). Let q(d) = 2*d + 2. Let s be q(h). Suppose 18 - s = v. What is the remainder when 18 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - p = -17, 4*g - 18 = 5*g - 3*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 6 = 1. Suppose -7*n - t = -0*n. Let v be 5760\/n*(-2250)\/(-27). Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 135300*r**3 - 120451*r**2 - 2*r - 1?\nAnswer: 811800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -4*k + 41. Calculate b(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1078*g + 594*g - 109*g**5 + 629*g wrt g.\nAnswer: -2180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 AM and 9:26 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = -14*r - 78400000. What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w. Let a(o) = -6*o. Let p(u) = 2*u + 7. Let f(q) = q + 3. Let k(c) = 14*f(c) - 6*p(c). Let s(n) = -3*a(n) - 10*k(n). Give v(s(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 115*w**2. Let m(o) = -355*o**2 + 711*o**2 - 355*o**2. Calculate i(m(t)).\nAnswer: 115*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 11395.\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 218*j + 126*j + 1.\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -633*l - 210. Is c(-6) a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 522\/859?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*x + 5*x + 3*x. Solve x*a = 5*a + 20, -3*h + 3*a + 9 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -5*n - 104. Calculate c(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1aa145 (base 11) in base 7?\nAnswer: -2504455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v + 9. Let p be (-612)\/(-510) + 26\/(-30). Let d(l) be the second derivative of 29*l - 4*l**2 + p*l**3 + 0. Give 5*d(j) + 4*x(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 13357 and 3304.\nAnswer: 44131528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - t = 14. Let v(h) = h**2 + 6*h - 4. What are the prime factors of v(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 1 - 5. Let n be ((-12)\/(-10))\/(3\/15). Suppose 0*v = 3*v - n. What is the remainder when v is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -59316.13 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9200 and 116840?\nAnswer: 1168400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7735 - -11376. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -4*s**3 - 5*s**2 + 5*s + 6. Let c be t(4). Let n = -154 - c. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -61 + -5 - (-1613556)\/24472?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-4)\/6)\/((-6)\/11817)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 70 - 14. What is the greatest common factor of f and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -2*w**2. Let d(x) = 6*x - 27. Let b be d(5). Let o(z) be the third derivative of b*z**2 - 1\/30*z**5 + 0*z**4 + 0*z**3 + 0*z + 0. What is u(o(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -151*u + 13184 = -11605 + 8179 for u.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - -126878442?\nAnswer: 126878443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = p - 5763, -11*u - 4*p = -10*u - 5766. What are the prime factors of u?\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19 + 58 - 15 + r + 8 to the form s + j*r and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(150)*-1*3)\/(sqrt(3) + sqrt(12)\/(-2*sqrt(4))))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -3*o - 3, n + 3 = 2*o - 4. Suppose 0 = m - 3*m - 5*s - 6, -o*m = -2*s - 8. What is the units digit of m*3*1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*l + 60 = 339 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xppagzxpazpgix. What is prob of picking 1 x and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3798 + -3769. Solve -11*o - 15 - x = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1928 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from anwkkfi. What is prob of sequence kwfi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 10) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*n + 16*n - 10*n**2 - 129*n**2 + n - 3*n**4 + 0*n wrt n?\nAnswer: -36*n**2 - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v + 1. Let t(c) = -9*c + 9. Let i(b) = -4*a(b) + t(b). Let x be i(-6). Let z = 52 - x. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-16)*-4*91\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 4) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -51\/7, 0.4, -4 in decreasing order.\nAnswer: 0.4, -4, -51\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 6:02 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 2*n**2 + 2*n**2 + 2 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q = -20*q - 13*q. Solve 5*x - 18 + 43 = q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**3)**(-2\/19)\/(l*l*l**(17\/5)*l)**(2\/39) assuming l is positive.\nAnswer: l**(-2386\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/21, -1, 5, 0.13, -5, -0.463, 41?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 613 - 615. Which is the nearest to 1? (a) -3\/7 (b) 2\/7 (c) v (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from hhcqqchh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -6*l**4 + 10*l + 3. Let f(q) = -5*q**4 + 10*q + 2. Let u(j) = 3*f(j) - 2*s(j). Find the second derivative of u(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 94 - 9*p + p**3 - 18*p**2 - 93 + 0*p**3. Let d be t(19). Let y = 1724\/9 - d. Find the common denominator of y and 105\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 313521 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 8*a - 10. Let d(l) be the third derivative of -1\/16*l**4 - 1\/120*l**5 + 0*l - 1\/6*l**3 + 0 + 3*l**a. Solve d(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 1467 = -8*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/7 in 0.6, 55, 0.1, 1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1330148 divided by 42908\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -15*o + 32. What is t(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -19*k. Let c(o) = -26*o**2 - 21. Let s(l) = -3277*l**2 - 2639. Let u(m) = 754*c(m) - 6*s(m). Calculate d(u(f)).\nAnswer: -1102*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 240 (b) 0.53 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 97.23 + 0.77. Let h = 1639055774.0000043 - 1639055872. Let q = y + h. Round q to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - g**2 + 4*g - 1. Let w be t(-3). Let q be (2\/w)\/(-4 - 48\/(-14)). Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26*m**2 - 3*m + 190*m**2 - 1967*m**3 + 58*m**2 - 271*m**3 wrt m.\nAnswer: -13428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 9441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -134*b + 21. Let d be l(0). Solve -12*f = -d - 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1338000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3047 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -89.7 - -83. Let x = 7 + q. Put 1, x, 4 in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.6 + -0.1. Let n = j + 0.6. Which is the nearest to n? (a) 1\/7 (b) -3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 467179 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - a - 1. Let s be d(-1). Suppose -70*v + 57*v = -39. Put 6, v, s in decreasing order.\nAnswer: 6, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -40*c**2 + 4*c + 6. Let p be m(-3). Let q = 7584 + -15879\/2. Let u = q - p. Find the common denominator of u and -20\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -22.8312 to one dp.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 784013 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: Suppose -60*r - 351091 = -2*m - 65*r, -10*m = r - 1755431. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2*h**2 - 8*h + 71. Let i = 359 - 345. What is the tens digit of b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -39 + 53. Let v be 24\/g - (-12)\/42. Is v <= 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 3244 + 3247 = 0, f + 2*u - 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -898580326591.4400024 + 898507355979.44. Let k = 72970639 + x. Let b = 27 - k. Round b to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 + 20 + (-80 - (43 - 87))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-348)\/145*(-5)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 5, 3\/4, 52.\nAnswer: 3\/4, 5, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/3, 0.15, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s + 4*s - 3. Suppose -4*j = 0, 5*h + 12 = -4*j - s. Suppose -k = -3*k - 2*m - 6, -3*k - 2*m - 2 = 0. Sort k, h, -2 in descending order.\nAnswer: k, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 - 10*k**2 + k + 4. Let f be a(-12). Suppose 5*c - 7*c - f = 0. Let g be (-2)\/(-8) + (-285)\/c. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**2 - 1153*n + 17724. Calculate z(15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2719 + 4365. Let v = 56759\/8 - w. Calculate the common denominator of -43\/37 and v.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 5*f + 8, -n - 1 = -5*f - 0. Suppose 3*d - 2*d - 3 = 0. Suppose 3*g + d = n. Solve 0 = -g*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30, 88, 172, 282?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239263 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*z**3 + 44*z**2 + 86*z + 24.\nAnswer: 2*(z + 3)*(z + 4)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 386962 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 5*n - 5*o + 62 = 0, 2*n + 176*o + 13 = 3*n + 177*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*338 + (-15)\/((-120)\/16). Let g = -326 + q. Let j(h) = 6*h - 8. Let y(t) = -2*t + 3. Determine g*y(m) + 5*j(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.218 + -57747320\nAnswer: -57747319.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 128623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1979 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - -1. Let j(z) = -10*z + 7. Let y(r) = 3*r - 2. Let a be 15\/(-2) - 6\/(-12). Let d(p) = a*y(p) - 2*j(p). What is d(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -88137.33376 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -y - 0*y, -5*y - 265 = -3*p. Calculate the remainder when p is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2258*o + 750*o + 759*o + 759*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 43385 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -105098130.2000788 - -105098109. Let b = c - -21.2. Round b to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a**4\/13 - 74*a**3\/13 - 128*a**2\/13 - 40*a\/13 = 0. Calculate a.\nAnswer: -5, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 441292 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 5*s + 0 = -4, 5*n + 10 = -5*s. Let m(d) = 16*d**3 - 16*d + 7. Let q(h) = 5*h**3 - 5*h + 2. Let i(y) = n*q(y) + 2*m(y). Factor i(p).\nAnswer: -3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -41, -1, -55, 17, -0.2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 20 = -4*p + 12, 0 = -3*p + 2*v - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 - 8. Suppose 14 - 2 = j*w. Does 8 divide w\/2 - (0 + -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 - 5*v**2 - 2*v + 1. Let x be d(-3). Let u(i) = -2*i - 18. Let j be u(x). Factor 3\/2*k + 3\/2*k**j - 1\/2*k**5 - 1\/2 - k**2 - k**3.\nAnswer: -(k - 1)**4*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 8, -3\/34, 4?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w - 16 = 8*i - 7*i, 4*i - 16 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 5 = -7. Suppose -2*r - 7 = -g, -3*g - 24 = 2*r + r. Let p be 2\/((6\/(-4))\/g). Solve j + 0*j = -2*x + v, -x = p*j - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -219 - -44. Let d be -10*14\/u*1*5. Let a(p) be the first derivative of -p**4\/4 + p**3 + 3*p**2\/2 + 15. What is a(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2548+-304.9\nAnswer: 2243.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -4*h**2. Let g(b) = 8032*b. Give g(f(s)).\nAnswer: -32128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o*(o\/o**(-8))\/o*o)\/(o**3*o))\/(o\/(o\/o**0))**(1\/51))**(-7\/6))**7 assuming o is positive.\nAnswer: o**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**0*t*t*t)\/t)\/(t*t**(1\/4))*(t\/t**2)**37)**45 assuming t is positive.\nAnswer: t**(-6525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 + 14*t**2 + 13*t + 31. Let x be r(15). Sort -1, x, 4, -4 in descending order.\nAnswer: 4, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-54))\/((-5)\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1564.962 months to years.\nAnswer: 130.4135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 2\/21, 0, -4, -3\/4147, 53 in ascending order.\nAnswer: -4, -3\/4147, 0, 2\/21, 0.1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 32*m**2 - 66*m**2 + 36*m**2 - m**3 + 166*m**4 as o*m + h + a*m**2 + k*m**3 + s*m**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -82, -303, -742, -1471, -2562, -4087?\nAnswer: -6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 88\/13 + 877\/26. What is the common denominator of r and 28\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 103230182 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 3*y - 69822, -d + 2942 = y - 20332. Calculate the highest common factor of y and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.07 * 2805\nAnswer: -196.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 566 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -140131040010 + -4?\nAnswer: -140131040014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2 + 2*k - 4. Determine g(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 0.003 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - -17341614853197.\nAnswer: 17341614853197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -536 + 10527*p**2 + 536 - 10527*p**2 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 4*g**2 - 7*g - 1. Let f(w) = w**2 + 1. Let r(a) = -f(a) - u(a). Let v(q) = 3*q**2. What is r(v(j))?\nAnswer: -45*j**4 + 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g + 1 - 5. Let h(u) = -7*u + g - 4 - 6*u. Let k(b) = 4*b**2 - 7. Let t(c) = 2*c**2 - 3. Let w(q) = 3*k(q) - 7*t(q). What is w(h(s))?\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 892368.\nAnswer: 2, 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(187)*-1*5)\/(3*sqrt(11)*1*-1).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -75*k + 83. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 3*b - 105 = 84, 2*q + 4*b - 348 = 0. What is the greatest common factor of 54 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 9074 * 9920.6\nAnswer: 90019524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 166538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -17\/3, -5\/8, 0.3.\nAnswer: -17\/3, -5\/8, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -6*b**2 - 6250*b - 12502. Give y(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -3 + -3 - (-6 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 410\/180 + (9\/2)\/(-9) and -69\/364.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 + -30.17. Let u = -0.19 + l. What is u rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/100)\/((-2)\/524315). Let s = c + -15726. What is the common denominator of (-4 + (-57)\/(-14))*81 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 2*j = 6, -3*q - 5*j - 5 + 31 = 0. Suppose -41 - q = w. Let v = -24 - w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11341 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 + 2*r**4 - 6*r**4)*(-2*r + 2 + 4*r + 0*r).\nAnswer: -4*r**5 - 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 3990751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the second derivative of f**4\/12 + f. Let p(s) = -16*s**2. Give p(k(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8371, -8372, -8373?\nAnswer: -8374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 37566 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-16)\/6)\/(((-20)\/(-102))\/(-5)). Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 8*j = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5553 + -16655\/3. Which is the closest to -1? (a) -5 (b) u (c) 346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20.3 + -20. Let s = 2.54 + -3. Let o = -0.06 - s. What is the second smallest value in -0.3, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 114 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-2)*2\/(-32)*-4. Let o = t - 1\/4. Sort 0.4, 5, o in increasing order.\nAnswer: o, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u**3 - 82*u**2 + 78*u - 3199. Determine o(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10.17 - 10. Let q = -1353 + 1350. Which is the second biggest value? (a) -0.3 (b) q (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 66 + 30 = 16*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 171664.\nAnswer: 2, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (-2 + 0 - ((6 - -23) + -16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4 (c) -0.01 (d) 2.21 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 73079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 3*x - 3 = 0, 20*x = 4*b + 22*x - 28. Suppose v = -0*p + 5*p - 52, 4*p + v - 38 = 0. Sort p, b, 1 in increasing order.\nAnswer: 1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 829, 831, 833?\n\"Answer: 2*d + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-11)\/((y*y**(-1\/2)\/y*y)\/y)*(y\/y**(-3\/8))\/y**(-1\/5) assuming y is positive.\nAnswer: y**(-357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -4*d**2 + 22*d + 15. Let x(q) = -7*q + 2. Give u(a) + 3*x(a).\nAnswer: -4*a**2 + a + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66\/(-33) - (59\/(-4) - -14)\/(30\/92).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of -s**8\/560 + s**6\/100 - s**4\/40 + 16*s**2 + 135. Let z(v) be the second derivative of m(v). Factor z(c).\nAnswer: -3*c*(c - 1)**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -4. Suppose -5*n - 2 = 3*f, r*n - 2*f - 2 = -3*f. Let c(q) = q**2 - q**n - 2*q**2. Let b(s) = 3*s. Give b(c(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 PM and 6:25 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27, 34, 41, 48, 55?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 330885?\nAnswer: 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -2\/5*h**2 + 0 - 4\/5*h = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g\/(g*g**14\/g)))\/g*g\/g**(-3\/8)*(g*((g*g**(-21)*g)\/g*g)\/g)\/(g\/((g**44\/g)\/g)) assuming g is positive.\nAnswer: g**(291\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*i - 2*y, 1 + 5 = 3*i - 3*y. Solve -j - 17 + 19 = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from bobbbobbbbo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(3) + 0 - (sqrt(12)\/sqrt(4) + 5)) + 5)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 6:20 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 34 - 1330502?\nAnswer: -1330446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 - -2 - ((-9 - -2) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(245) + -4 + -3*sqrt(245)*-1)**2.\nAnswer: -56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 164705145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 31596*n**2 - n - 4*n**3 - 31604*n**2 - 3*n.\nAnswer: -4*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -69 (b) 12 (c) -9 (d) -0.1 (e) 14 (f) 2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 4 = p, 5*j + 4*p = 3*p + 8. Calculate the remainder when 2 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*p - 103*p + 20*p)*(-2*p**2 + 0 - p**2 + 1).\nAnswer: 147*p**3 - 49*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (7 + 4 + 4) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -63 + 674. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 5*s**2 - 16*s - 15. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 11232776 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6976 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -10247*v - 51081. Give z(-5).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 121549, 486163, 1093853, 1944619, 3038461?\n\"Answer: 121538*k**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 173 + -321. Let m be 3\/(2\/15 - d\/240). Sort m, 0, 9 in ascending order.\nAnswer: 0, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 8*s - 11. Let j be r(-4). Let w = j - -142. Calculate the common denominator of 14\/w*21 + -2 and -5\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.1 and 73415421.\nAnswer: 73415421.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -196 + 167. Let i = -28.8 - v. Put -0.1, 3, 1\/14, i in ascending order.\nAnswer: -0.1, 1\/14, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (54341995\/(-190))\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11000 - -77403. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 2*j - 3. What is c(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-8 + 7 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4237533.\nAnswer: 3, 470837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**2 + 8*b + 1. Let v be z(-6). Suppose -1 = u, l = -4*l + 4*u + 79. Let s = v + l. Solve 2*y = 5*k - 19, 4*y + 11 = s*k - 3*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 35412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-1))**(7\/8)\/(y**6*y**(3\/2))*(y\/y**(-2\/3)*y\/(y*y*y\/((y*y**(4\/11))\/y)))**(-2\/9) assuming y is positive.\nAnswer: y**(-19915\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 740, 326, -380, -1378, -2668, -4250?\nAnswer: -6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 4. Suppose 2*v = -4*o - 3*v + 3, -4*v = 2*o. Suppose 0 = -o*f - 0*f. Calculate x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4142341 + 2?\nAnswer: -4142334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 - g. Let q be r(3). Let z(j) = 5*j - 9 - q*j - j**2 - 10*j. Let i be z(-8). Solve 3*t = 4*y + 9, -2*y = -5*t + 2*y + i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 - -9 - 4\/(20\/15). Solve q = -3*w + 7, -9*q + 13*q = 4*w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86 is divided by ((-180)\/70)\/(59\/(-56) - -1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3079685584?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -6b (base 15) to base 6.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*v - 36*v = 2695. What is the remainder when v is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5211 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: What is the greatest common divisor of 1182 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 223483.\nAnswer: 13, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in fourty-four fifths of a week?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -6*l**2 - 3*l - 2. Let h be b(-1). Let u(g) = -13*g - 26. What are the prime factors of u(h)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 337*o + 6. Let d be u(-3). Let w be ((-16)\/(-40))\/((-3)\/d). Suppose -b + w = 2*b - 2*x, 5*x - 190 = -5*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -30449 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence knmk when four letters picked without replacement from {u: 1, f: 1, n: 2, k: 2, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00011996 to 6 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -208151 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 2507*o - 10. Determine k(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/4 in -4, -1\/12, -3, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 4*d**5 - 1380*d**4 + 116928*d**3 + 363312*d**2 = 0. What is d?\nAnswer: -3, 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 910851564 and 8?\nAnswer: 1821703128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-388)\/582)\/(4\/(-5)). Let h(d) be the second derivative of 0 - 41*d - c*d**3 - 11\/2*d**2. Let p(k) = -2*k**2. Determine p(h(z)).\nAnswer: -50*z**2 - 220*z - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-1*-5*(sqrt(176) + 0 + sqrt(176))*-4*2 + -4.\nAnswer: -4 + 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -97 - -292. Suppose 4*k + w + 488 = 0, -2*w - 2*w - 137 = k. Let x = u + k. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (14*s + 172*s + 49*s)*(-2*s + 4*s - 5*s) to a*s + r + x*s**2 and give x.\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 312*y + 3124. Calculate a(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -18859 (base 10) to base 11\nAnswer: -13195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15986586 divided by 21.\nAnswer: -761266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3986*a + 1994*a + 1996*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -6*d**3\/13 + 473596*d**2\/13 - 315726*d\/13 - 157864\/13 = 0.\nAnswer: -1\/3, 1, 78932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/4*52\/(-12)*((-12)\/5)\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -8 and 278.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1699 - 49262\/29. Let d = -252928 - -29340003\/116. Let b = p - d. Is b bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 + 7*v - 2. Let q be j(5). Let t(x) = x**2 - 6*x - 6. What is the remainder when t(q) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 5:02 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -488*z - 70771 = -44419 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (7811\/1284 - (-24)\/9)\/5\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -84 - (-3 + 0 - 12) - (3 + -10).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 - 10*z + 19. Let p be y(8). Let g(o) = o**2 - 4*o + 4. Let x be g(p). Which is the second smallest value? (a) 3 (b) x (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/4 or 435381?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 7, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 91\/35 + 4\/10. Suppose -r*q - 9 = -3*y, -2*q - 26 = 3*y + 2*q. Let b(c) = -4*c - 3. Let m(k) = -3*k - 2. Give y*b(z) + 3*m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (272\/96 - 11\/(-66))*(3 - (-641)\/(-213))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15*u**5 + 2*u**2 - 130*u wrt u?\nAnswer: -300*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -179*v + 369*v - 4*g - 6 = 192*v, 0 = -v + 16*g - 15*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7512 + 6203?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20997\/19 - 1105. Sort -0.4, 0.6, z, -3 in descending order.\nAnswer: 0.6, z, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (812\/(-56))\/((-2)\/844) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 171 = 3*v, -2*v - 3*v + 47 = c. Calculate the highest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/30 and 59\/144912.\nAnswer: 724560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 35*x**2 + 181. Let k(g) = -17*g**2 - 90. Let m(j) = -7*k(j) - 4*p(j). Differentiate m(i) wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 47 + 6916?\nAnswer: 695d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 w when four letters picked without replacement from jjwwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 PM and 3:57 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -11*c. Suppose i + d + 0*d + 58 = 0, 0 = 4*i - 3*d + 253. Let g = 124 + i. Calculate the remainder when g is divided by r(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k - 7. Let j be q(-14). Suppose -2*t = -j*t. Let l = 0.83 + -4.83. What is the closest to t in 6, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 404590 is divided by 1767.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 4*g**2. Let q(r) = -r**2. Let p(h) = -2*q(h) + s(h). Let n(x) = x + 2. Let f(w) = -2*w - 3. Let i(c) = -2*f(c) - 3*n(c). Calculate i(p(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -225 by -49.\nAnswer: 225\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*w - 12*w - 1755 = 0. Calculate the greatest common divisor of 90 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 237594605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -2\/5, 2\/17, 0.24, -83\/231?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -25\/9 + 22\/9. Which is the biggest value? (a) m (b) -2\/57 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 4*k**3 + 2*k**2 + k. Let v be m(-1). Let a = 2267 - 2269. Sort v, a, 0, 5 in decreasing order.\nAnswer: 5, 0, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c*c**(-3\/10))\/c*c))\/c**(4\/3))**(-28) assuming c is positive.\nAnswer: c**(434\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 374 - 694. Let k = o + 328. Let i(v) = -v**3 + 7*v**2 + 7*v + 2. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68277901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4\/(-8))\/(1\/(-16)). What are the prime factors of v - (-1)\/(-2)*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 2, v: 11, t: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -3*g + 7*g. List the prime factors of (-4)\/(-6) - (-75)\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 80 = -0*w. Suppose -24*n + w*n - 160 = 0. Let c be (-2)\/(-5) + (-824)\/n. Calculate the highest common divisor of c and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 718686 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -179, -5.\nAnswer: -179, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - j = 7. Let z be (-3 - 1 - 1) + 14. Suppose -4*h = 3*t - 5*h - 18, 0 = -3*h - z. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 86*p**4 - 237*p**3 + p**2 + p - 177 wrt p?\nAnswer: 2064*p - 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/(-15) - 23\/5. Let g = y + 6. Let h(l) = 2 - 1 - 2*l**g - 2 - 4*l. What is h(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - x = r + 6, -11 = r - 4*x. Let i(u) = u**3 - 9*u**2 + u - 9. Let w be i(r). Let d = 1 + 3. Solve 4*l + 12 = -0*l - 4*a, -3*l - d*a - 9 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -p - 1, 5*a + 6 = -5*p + 1. Suppose -q + 86 = -a*q. Suppose 26 - q = -3*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 - -16. Solve v*n - 6 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 47720, 47723, 47728, 47735, 47744, 47755, 47768?\nAnswer: 47783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 4 = 4*k - 0, 2*k - 8 = -2*m. Suppose 4*t + 0*p - 34 = k*p, 4*p = -t - 14. Calculate the greatest common divisor of 54 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:35 PM and 10:00 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is f in 5*f**5 - 30*f**4 - 50*f**3 + 80*f**2 + 165*f + 70 = 0?\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -16*z**3 - 5*z**2 + 3*z + 4. Let v(m) = -48*m**3 - 14*m**2 + 8*m + 11. Let p(u) = -8*q(u) + 3*v(u). Let y be p(-1). Solve -3*c - y = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + -9109c7?\nAnswer: -9109cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 168200 and 1189?\nAnswer: 6896200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 2*y + 97 = 0, 0 = -3*m + 3*y - 43 - 56. Let r = 59 + m. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 10\/35 - 19\/(-7). Suppose -3*d = q + 18, 4*q - u*q + 24 = -4*d. Let c(r) = r**3 + 6*r**2 - 3. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 - 106da0?\nAnswer: -106da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = x + 4. Suppose 4*h = 5*k - 52, 4 = -k + 5*h + x. What is the least common multiple of 4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/((-20)\/1678) + (-7)\/(-35). Suppose 4*w - j = 380. List the prime factors of w.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14030800 and 55121.\nAnswer: 154338800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -215243012 (base 6) in base 11?\nAnswer: -221a555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (22 + 36 - 6)*(-5*l - 6*l + 0*l + (-2*l + 4*l - 3*l)*(4 - 6 - 3))*(1 + 0 - 3) to the form r + o*l and give o.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10944.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -49.5 - -49.4518. Let d = i - 6.6618. What is d rounded to 1 decimal place?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 5*u**2 + 83*u + 46. Let m be h(-16). Let x(o) = 3*o**2 - 3*o - 1. Give x(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 25 - j - 25. Let h(b) = -3. What is -h(v) - 2*t(v)?\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*c - 120*c**3 + 23 + c - 96*c - 122*c**3 + 2452*c**2 + 241*c**3 wrt c?\nAnswer: -6*c + 4904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*(-8)\/(-320)*(-2)\/1*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*b**3 + 3*b + 14*b**3 - 5*b - 1 + (-36*b - 14*b**2 + 36*b)*(0*b + 4*b - 2*b) - 4*b**3 + 4*b**3 - 2*b**3.\nAnswer: -28*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -22.9 - -23. Which is the third smallest value? (a) w (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -12*h - 14 + 5*h + 3*h. Suppose 0 = -z - 0*z + 20. What is the smallest common multiple of t(-10) and z?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -95 - -163. Calculate the greatest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -553 + 543. Let r(n) = -n**2 - 27*n - 16. Calculate the remainder when r(h) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -54 (base 15) to base 11.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x**(-20\/3)\/x)*x*x**(2\/5))\/((x*(x\/(x\/x**(1\/48)))\/x)\/x*x*x**(-34)))**(-28) assuming x is positive.\nAnswer: x**(-75677\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/9*104\/(29744\/(-66)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 335.5 - 129.\nAnswer: 206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/(-9) - (-9)\/(135\/10). Which is the closest to 0.1? (a) 29 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + b - x - 23 = 0, -5*x = -5*b + 55. Let k(p) = p - 4. List the prime factors of k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 116105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 13*m**3 - 5*m**2. Let r(d) = d**2 + 1. Determine -5*r(b) - y(b).\nAnswer: -13*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/8*6 + 5. Suppose 0 = 5*x - n - 18. Suppose -x*k + 6*k = 8. Sort 3, k, 2 in decreasing order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/(-18)*-14*(-24)\/(-588)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 5\/3*w**3 + 0 - w**2 + 0*w - 1\/3*w**4 - 1\/3*w**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - i + 1 = 11, -2*t = 3*i - 21. Suppose u - t*v - 11 = -2*v, 0 = 5*u + 3*v - 63. Suppose 4196 = 16*s - u*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -3 + 4 - (0 + 0\/(-1)). Let w = 230 + -213. Calculate the greatest common factor of n and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1882076758 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 + -2 + 84 + -60 + 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 126 - 124.54. Let y = -0.54 - d. Which is the nearest to 0.1? (a) -0.4 (b) -0.036 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 165 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2902000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-207)\/(-345) - (-56)\/(-10). What is the closest to -2\/3 in -2\/3, 3\/8, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f. Let j be (10\/4)\/5*-14. Let d(s) = 3*s + 24. Let w be d(j). Let a(g) = 5*g - 3 + w. Determine a(i(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 4*l + 36 = 0, 3*h - 75 + 99 = 8*l for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(10)\/sqrt(2))**2 + sqrt(35)\/sqrt(63).\nAnswer: -30 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.39563 - 42.60427. Let l = -43 - i. Round l to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 189, -3, 207, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-465)\/310*(-1)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -63*w - 119*w**2 + 59*w + 105*w**2. Let o(c) = -2*c**2. Calculate z(o(g)).\nAnswer: -56*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4 + -3 + 0 + 1. Let s(c) = c**3 + 3*c**2 + 2*c. Let k be s(-2). Suppose f*h - 79 + 9 = k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(176) + -4.\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1788.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 5*j**3 - 6*j + 3. Let p(c) = 76*c**3 + 15*c**2 - 5*c - 4. Let u(x) = -16*x**3 - 3*x**2 + 2*x. Let l(n) = -p(n) - 5*u(n). Calculate 2*i(a) - 3*l(a).\nAnswer: -2*a**3 + 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101212 = 81*y - 521273. Is 145 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 44 - 24. What is the smallest common multiple of (-526)\/(-5) + 59\/((-295)\/6) and c?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10784611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -165*d + 53 + 1000*d + 50 + 56 - 160 to the form t*d + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**2 + 3*y**2 - 3*y**2 + (-3*y + y + y)*(6*y - 3*y - 18*y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of -u**2 - 1\/20*u**5 + 1\/6*u**3 + 0*u**4 - 10*u + 0. Determine b(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10941 or -10942?\nAnswer: -10942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -338 - -346. What is the least common multiple of 19 and k?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 800\/360 + 115\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 5*j**5 - 51775*j**4 - 258960*j**3 - 414380*j**2 - 207200*j = 0.\nAnswer: -2, -1, 0, 10360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -13*h - 219. Let y be m(-17). Sort y, -1, -4, 3 in decreasing order.\nAnswer: 3, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5418 - -8815. Let r = g + -1680. Suppose -r - 823 = -4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-1)\/6*4 + -1)*-6. Suppose r = 2 + b. Does 9 divide (-1)\/6 - (-542)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h + 2*h - 2*h + (-3 + 2 + 2)*(15 - 20*h - 15 + 4).\nAnswer: -18*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6259, -5777, -5297, -4819, -4343, -3869?\nAnswer: -3397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuauerbabbbbubebbre. Give prob of sequence brae.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(2\/15)*c*c)\/(c*c*c\/(c\/c**(-7))*c*c*c*c))**36)**(5\/6) assuming c is positive.\nAnswer: c**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-5086658 + 5086658 - 571*a)*(-3 + 1 + 1) + 0*a + 2*a + 1 + a as k + i*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 97975*w - 97971*w = 3*b + 15, -5*w + 16 = -b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -26, -35555, -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4368 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -19. Let m = h + -15. List the prime factors of (m\/(-20))\/(2\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5148 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 - z + 3. Suppose -30 = -6*r + r. What are the prime factors of v(r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 - 4 = -28*r. Let c(x) = -x + 1. Let g(h) = 7*h - 3. Give r*g(z) + 4*c(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2 at least 586\/597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2*c - 1)*(-2 + 3*c + 2) + 2*c**2 + 6*c**2 - 4*c**2 + 66*c + 12*c**2 - 66*c + 5*c**2 + c**2 - 4*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 28 - (-20)\/(-6)*558\/(-1860)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 4*w + 27 = 2*r, 0 = w - 1. What is the highest common divisor of 143 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -601 - -620?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 937 divide 509779576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 10 + (4 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (64 - 39 + 42 - n)*(212*n - 212*n + 24*n**2).\nAnswer: -24*n**3 + 1608*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/((a**(-1\/4)\/a)\/a)))**(-2\/29)\/(a**(-1\/3)\/a)**39 assuming a is positive.\nAnswer: a**(3025\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 44667.01 years in centuries?\nAnswer: 446.6701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 83740380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 2, 5, 4, -20 in increasing order.\nAnswer: -20, -6, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + 1*(3 + sqrt(3)))**2 - (-4 + sqrt(147) - sqrt(3)).\nAnswer: 6*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l*l\/(l\/l**4)))*(l*l**(-1\/9)*l)\/l)\/((l**(6\/11)\/l*l)\/l*l*l**(1\/2)) assuming l is positive.\nAnswer: l**(959\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 14, j: 5}. Give prob of sequence jvv.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 + -25. Suppose 16*t + 8 - 2*t - 2*t + 0 - 4*t**g = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the first derivative of 5*i**4\/12 - 5*i**3\/6 - 5*i**2 + 36*i - 28. Let k(u) be the first derivative of n(u). Suppose k(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 40 and 9144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*c = -15*c - 37 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -31*o + 78 + 139 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*g = 10*g + 20. Suppose -4*n + 3*j + j = -16, -g*n = -2*j - 14. Solve -x - x + 6 = -3*k, 4*x = -k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 51431306, 51431309, 51431312, 51431315, 51431318, 51431321?\n\"Answer: 3*y + 51431303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3*w = 21434. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 481\/120 - 2. Let m(y) be the second derivative of 1\/80*y**5 - 1\/48*y**4 + k*y**6 - 1\/24*y**3 + 0*y**2 - y + 0. Factor m(v).\nAnswer: v*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -1) + 2 + 101 - (19792 + -19782)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.023 and -0.16.\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 262 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11752\/9 - -3 - (-8)\/36. Suppose -5*c + 5184 = -c + 3*q, 4*q - v = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/15 in 5, 1.6, -0.1, -2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1767 = 3*w - 2*i, -55*w = -57*w + 3*i + 1188. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 6 - (-3 - -1)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1553 - 1551. Suppose 11 + 1 = 2*b. Solve j*s = b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001722520776 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 2318 = 2*t, 5*t = -7*j + 5*j + 4641. List the prime factors of j.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 7 + 5)*(-5 - 16*o**3 + 27*o**3 - 15*o**3) to l*o**3 + j*o + c + x*o**2 and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.2 (c) 4 (d) -1 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 5*h**4 - 2*h**3 - 3*h**4 - 2 + 2*h**3 + h**3 - 11*h - 3*h**4 - h**2 as x*h**2 + g*h + d*h**4 + l*h**3 + s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001208322428 to 7 decimal places.\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -911, -1043, -2 in increasing order.\nAnswer: -1043, -911, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17270579?\nAnswer: 17270579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from olo. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 341 a factor of 98343218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 4690, -13639, -31970, -50303?\n\"Answer: -i**2 - 18326*i + 23017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.063, 4\/7, -2\/5, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 169265, 169219, 169161, 169091, 169009, 168915?\nAnswer: 168809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -9011820.907671?\nAnswer: 9011815.907671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1787135 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 457741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3190597 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -387*x = 76*x - 340360560. What is x rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 75.9794893 to 1 dp.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 - 19*r**2 - 31*r - 29. What is a(21)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000005046744 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s - 4*s + 32. Let z(k) = -5*k**3 + 4*k**2 - k + 6. Let d(h) = 4*h**3 - 5*h**2 + h - 6. Let i(b) = 4*d(b) + 3*z(b). Let a be i(s). Sort 4, a, -3.\nAnswer: -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0594 - -0.9406. What is the nearest to t in 6, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2075 and 2729875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 144 + 56 = 0. Let a = f - -30. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of -2\/105*v**7 + 0*v**6 + 0*v**4 + 0*v + 0*v**3 - 2*v**2 + 0 - 1\/10*v**5. Find the third derivative of u(i) wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*q**5\/15 + 208*q**4\/15 - 234*q**3\/5 + 188*q**2\/15 + 238*q\/15 + 12\/5 = 0 for q.\nAnswer: -9, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 580562?\nAnswer: 2, 53, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 812397 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2020\/101*((-7)\/(-4))\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7938634.\nAnswer: 2, 11, 23, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 237 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -s - 15. Let z(t) = -3*t**2 - t - 14. Let k be z(s). Let j = 275 - k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 3:58 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43116?\nAnswer: 2, 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11 + 119\/11 + (-3238)\/(-4620) and 71\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 18, 41, 108, 243, 470, 813?\n\"Answer: 4*c**3 - 2*c**2 + c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8.02 + 8. Let w = 0.42 + d. Let v be (3\/39)\/(45\/(-10) + 5). What is the second biggest value in -0.1, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*s**4 + 20*s**3 - 4*s**2 - 68*s + 48 = 0. What is s?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4*(25 - 297\/12))\/(-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/((-90)\/9)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/3 - 23*g - 150.\nAnswer: (g - 75)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(1\/19)*a*a**(-6\/5)*a*a**(-5)*a**26*a*a*a*a assuming a is positive.\nAnswer: a**(2456\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 110*h**2 + 31*h - 21. Let q be u(-10). Suppose 3*f + 5*l = 7998, -17*f + q = -13*f + 5*l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 6 - 2)*(4 - 4 - 3*x) + (1 + 2 - 4)*(-x + x - x) + (-4 + 2 + 3)*(0 + 0 - 2*x) + 2*x - 2*x - 2*x - 6*x + x + 3*x + (-2*x + 0*x + x)*(-1 + 11 + 4).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33*l**2*r**2*z**3 + 6*l**2*r**2*z - 10*l*r**3*z**3 + l*r**3*z + 81*r**3*z**2 wrt z?\nAnswer: 198*l**2*r**2 - 60*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/48*4 - 258\/8. Let m be 2\/16 + (-92)\/f. Suppose 3*q + b + 3959998 = 0, 504533 = -q - m*b - 815461. What is q rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -5. Suppose 5 = a, -111 = -2*i + 3*a - d*a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 12 = -292. Suppose k + v = 6*k. Suppose -2*c = -4*c + k. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13 is divided by 33\/4 + (-6)\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 667?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -382, -380, -378, -376, -374, -372?\n\"Answer: 2*r - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zv when two letters picked without replacement from {v: 1, y: 1, z: 1, b: 2, d: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 12146.02 minus -6?\nAnswer: 12152.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/10 - 98\/(-5) is divided by -3 + 1 + 6 + 2\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 997353 is divided by 83106.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*h = 122*h + 156. Let l(p) = -1. Let o(f) = 2*f - 4. Let x(n) = -4*l(n) + o(n). Calculate x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/174)\/((-3)\/(-12)). Let a(o) = 3*o**3 + 5*o + 1. Let q be a(2). Suppose -9*m + 35 = q. Is m bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 23*v**3 + 2490*v**2 - 10157*v - 58800.\nAnswer: (v - 7)*(v + 112)*(23*v + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n and 1 w when four letters picked without replacement from {z: 1, k: 2, w: 1, n: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2233 divided by -614?\nAnswer: -2233\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of 0*z**3 + 0*z - 1\/24*z**4 - 7*z**2 + 0. Let k(x) = -4*x**2 + 571 + 2*x - 2*x - 571. What is k(d(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - m = -3*m - 8, 8 = 2*h - 2*m. Let u be ((1 + -36)\/(-5))\/(-1). Let n be u - (-1 + -3)*2. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -0.2, 2\/3, 30, -2 in decreasing order.\nAnswer: 30, 3, 2\/3, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -651*y**2 + 2*y**3 + 321*y**2 + 330*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 3140603100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 15184875 by -15.\nAnswer: -1012325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 10*a + 90. Let b be f(-8). Let q be (b + 0)\/((-4)\/(-516000)). What is q rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + v - v**2)*(v + v - 3*v) + (-10*v - v**2 + 10*v)*(0 + 3 - 4)*(12*v - 6*v + 10*v).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 25*d - 40. Let u(m) = -2*m + 1. Let p(f) = r(f) + 6*u(f). Let h be p(3). Suppose -3*i = -5*v - 100, 2*v = h*v + 5*i + 94. Does v = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 160105110149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 25 + 1. Suppose 5*i = -15, -3 = 3*g + 4*i - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(162) + (sqrt(162) - (sqrt(162) + 1))*4 + 1)**2 + -4.\nAnswer: -90*sqrt(2) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 13540000 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -7104, -4575 in increasing order.\nAnswer: -7104, -4575, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1595214503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 PM and 7:56 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 49\/1135299 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 - 20*y - 86. Let l be u(-13). Sort 56, -3, l, 4.\nAnswer: -3, 4, l, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14134 and 5?\nAnswer: 70670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzwwzzz. Give prob of sequence wzzz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -309*j - 281*j - 4648 - 1252 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -1081.9 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 31230 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xgpppxxxpxxg. Give prob of sequence pxx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -70*m - 31*m - 3*m**3 + 2*m**4 + m**3 + 66*m as o*m**2 + l + i*m**3 + s*m**4 + b*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 30 less than or equal to 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -56*c + 2917. What is a(52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 263 = 266 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 2 o when four letters picked without replacement from iimiomoommmiomi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -2454 > -2454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/12*(-5)\/((-30)\/27)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3191*b**4 + 6044*b + 1?\nAnswer: 38292*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -11 and -0.251?\nAnswer: 2.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -20565 (base 9) to base 5.\nAnswer: -413321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -15\/4 (b) -153 (c) -3\/5 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9\/(-1) + (-147280)\/(-70) is divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 415 divide 458160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -6*u**2 - 11*u - u - 6*u + 14 - 17*u**3 + 16*u**3. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -212 + 216. Solve -3*b + b = i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(44) + 0 - (2*sqrt(11) + 1)))**2 + (1 + sqrt(6336))*1.\nAnswer: 5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*d + 552 = -198*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 38.54 + 0.46. Let d = q + -26. What is the second smallest value in 0.3, 5, -0.4, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45*28\/(-630)*9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be -22 + (0 + 4\/4)\/1. Let l be (-6)\/(-2) - (n + 23). What is the remainder when 4\/3*12\/l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 203706281213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 573259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, l: 1, a: 1, u: 1, o: 1, z: 1}. What is prob of picking 1 l, 1 u, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -302*f - 120 = -297*f. Put 5, f, -4, 0 in decreasing order.\nAnswer: 5, 0, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 - 12*s - 3. Let h be o(12). Let w be 0 - 8\/12*h. Suppose 4*f - w*f - 230 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 280568*h + 3 - 561122*h + 280642*h - 4 + 1.\nAnswer: 88*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 54.4911 times -20.6\nAnswer: -1122.51666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2*117727.53\nAnswer: -235455.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 9}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**2 - 15396*h + 46224 = 0. What is h?\nAnswer: -3852, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -992*c + 6. Let d(s) = -131937*s + 796. Give 3*d(q) - 398*n(q).\nAnswer: -995*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -162, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 - (29 - (-22 + 61)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/16143 or 0.042?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -1 - 7. Let f(d) = 37*d + 2. Let z be f(m). Let l = z + 120. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1942713 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) 24 (b) 1.1 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3808997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 8, 6, 4, 2, 0?\n\"Answer: -2*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 1 + -1 - (1 - (-13 + 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 236608891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -297*c**2 + 6*c - 11 + 149*c**2 + 3 + 149*c**2. Calculate j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -29, -523 in descending order.\nAnswer: 18, -29, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 + (1 - 1))\/(-2). Let t be (3\/(-4) + h)*8. What are the prime factors of (-62)\/t - (-4)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of -1\/15*o**3 + 4 + 0*o**2 + 1\/5*o. Suppose u(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 31953, 63823, 95697, 127575, 159457, 191343?\n\"Answer: 2*s**2 + 31864*s + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1127 - 1633 = -3*a. Suppose 3*f = -f + a. What are the prime factors of f?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15753555.\nAnswer: 3, 5, 61, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the third derivative of -n**7\/105 - 11*n**6\/30 - 58*n**5\/15 - 85*n**4\/6 - 25*n**3 - 847*n**2. Factor q(l).\nAnswer: -2*(l + 1)**2*(l + 5)*(l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/23573899 and 133\/57390.\nAnswer: 707216970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - -9. Let x(y) = -2*y**2 - 37*y - 62. Let q be x(-2). Calculate the remainder when 22 is divided by q\/14 - (p + 328\/(-28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22477*i - 30618 = -22484*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 159.\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20148*v + 20148*v + 54918*v**3.\nAnswer: 54918*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - -1) + (2 - -36 - (21 - 23 - -14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 + 107 = 5*z. Suppose -4*a + 28 = -8. What is the remainder when z is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 5, -4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11778195 is divided by 230?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3142 is divided by 637?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) -3.4 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 133*v - 105 - 28 = 0. Does v = -2039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14.56 - 4.46. Which is the nearest to f? (a) 0.4 (b) 3\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2569 + -2537. Is 16 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*g - 161805 = -166935. Calculate the highest common divisor of g and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3487\/3 + -1159. Which is the third smallest value? (a) 0 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3 + 382*q**2 + 190*q.\nAnswer: 2*q*(q + 95)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 3*k = -n + 19, -5*n = -2*k - 31. Suppose 2*z + 9 = n*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/24))**(-16)*(k\/k**(1\/26)*k)**15 assuming k is positive.\nAnswer: k**(2243\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 68305 - 34555. Suppose -45732 = -6*k + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1, 2, -5\/3, -0.12, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/5, 6, 175?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5785*c**3*i*w - 2*c**3*w**2 - c**2*i*w**2 + 5*c**2*i - 2*c**2*w - 92*c*i*w**2 + 2*i*w wrt c.\nAnswer: 34710*i*w - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - 0. Let s = -5.571 + 9.571. Let r = 0.02 + 1.98. Which is the nearest to s? (a) h (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 45*y**2 + 30*y - 81. What is n(2)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 - 6*a**2 + 5*a + 9. Let o be s(5). Let d(h) = h**2 - 9*h + 8. Calculate the remainder when 30 is divided by d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 641 - 601. Calculate the smallest common multiple of f and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (32\/64)\/((-2)\/(-14))*120\/42. What is the closest to b in -2, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1688962290 rounded to the nearest one million?\nAnswer: 1689000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 2.9. Let n = u - -0.6. Let h = 1.9 - 2. Which is the nearest to -2\/3? (a) -0.4 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7737451 meters to nanometers.\nAnswer: 773745100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 296655 + -191655. Round w to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -6138563 - 10?\nAnswer: -6138573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 3) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -10*i**2 + 6*i + 15. Let c(m) = 3*m**2 - 2*m - 5. Let y(k) = 7*c(k) + 2*t(k). Let r be y(-8). What is the highest common divisor of 50 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 6*f**2 - 4*f - 4. Let k(n) = 35*n**2 - 25*n - 25. Give 4*k(z) - 25*y(z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 2, 30, 3 in descending order.\nAnswer: 30, 3, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 10*u**3 - 9*u**3 + u**3 + 11*u**3. Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11035183 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 39 = z - 4*z, -5*z = -3*t - 64. Solve 4 - 8*c**3 + 7*c + 7*c + z*c**2 - 3*c**2 = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 3*j = 42, 5*z - z - 116 = -j. Suppose w + z = 3*w. What is the greatest common divisor of w and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 + z + 9. Let h(t) = -3*t**3 + t. Let s be h(-1). Suppose 5*d - 2 = s*l - l, 4*d - 10 = 5*l. Let r be v(d). Solve -3*b + 6*b = -r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 250\/(-1140) + (3 + -1)\/12. Suppose g + 2*g = 3*r + 30, g + 2*r = -5. What is the second smallest value in g, 2\/13, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = 3*l + 2*w, 4*w - 44 = -2*l - 38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -37 + 46. Suppose -2*x = h - 6, 0*x - 5*h - o = -3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 396 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 33*k**3 + 21*k**2 - 486*k wrt k.\nAnswer: 198*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the second derivative of -n + 0*n**4 + 0 + 0*n**6 + 0*n**2 + 1\/21*n**7 + 0*n**5 + 1\/3*n**3. Find the second derivative of h(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2998079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 102043429.000029 + -102043490. Let t = -67 + 128. Let h = i + t. What is h rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 756948651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2\/5671 - 379933\/68052. Calculate the common denominator of (606\/18 - -3)\/((-576)\/12) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -90*f**4 - 74*f**4 + 348 - 74*f**4 - 689 - 14*f**4 wrt f?\nAnswer: -1008*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.131121 + 798.8?\nAnswer: 798.668879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, x: 3, w: 10}. What is prob of sequence wxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 397474047?\nAnswer: 3, 4907087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -2124.241 - -0.5.\nAnswer: -2123.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1.89002*-3\nAnswer: 5.67006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 AM and 12:40 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 681 - 690. Let q(k) = -k**2 - 8*k + 5. Give q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000241 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -6*q + 3887*q**3 + 4*q**4 - 4*q**2 + 3902*q**3 - 10*q**5 - 7773*q**3 = 0.\nAnswer: -1, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 204124455 (base 7) in base 2?\nAnswer: 101101110111011001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 PM and 7:33 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163 = l + 2*y - 89, 0 = 2*l + 3*y - 505. Calculate the remainder when l is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112165406 (base 7) in base 13?\nAnswer: 1560c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 16) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-225)\/(-15) + -23 - -15. Let t(g) = g - 21. What is t(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -7*c - 2. Suppose j + 4 = -j. Let y be b(j). Calculate the smallest common multiple of 8 and ((-16)\/12)\/((-2)\/y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73587777737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8881646.\nAnswer: 2, 4440823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 4*o**2 - 2*o + 0*o**2 - 8*o**2 as d*o**2 + k + c*o and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 367 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 5*y**2 - 3*y + 2. Calculate the remainder when 28 is divided by q(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -22*w + 20*w + 26, w - 13 = 2*k. Put 6, 0, w, -2 in increasing order.\nAnswer: -2, 0, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y**2 - 10*y**2 + y**3 + 11 - 6. Let n be d(13). Let q be -5 + 55\/(n - 0). Solve -4*l = -l - q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17 (base 13) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 417319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**2 + 6*p - 5. Let z be s(7). Let o be (-2)\/(-8) - 141\/z. Let r = 17 + o. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -63 = 7*u, 4*u = 4*v - 2320 + 2284 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24 - -22. Let k(i) = i + 1. Let f be 4\/(-10) - (-15)\/(-25). Let z(n) = -2*n**2 + 7*n + 6. Let v(q) = f*z(q) + 4*k(q). Give v(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*c**3*n*q + 7*c**3*q**3 - 47*c**3*q**2 + 2*c**3 - 16*n*q**3 + 5*n*q**2 with respect to n.\nAnswer: 2*c**3*q - 16*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 592 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 29 = 5*x, 12 = -3*j - 4*x - 2. Is ((-251)\/j)\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {p: 4, h: 3, u: 1, y: 4, f: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 83640.22 litres?\nAnswer: 83640220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*s**4 - 4*s**4 - 2*s**4 + (-18*s**2 + 18*s**2 - 23*s**3)*(-33*s - 124*s + 23*s).\nAnswer: 3080*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/282 or 223.1?\nAnswer: 223.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + -7 - (4 - (-5 + (1 - -6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.23 - 421.645.\nAnswer: -422.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13512.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.4 in -0.3, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16185671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 62670012789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -15. Let v(q) = -q**2 - 2*q + 11. Let d be v(i). Let u = -26 - -35. Solve d*m = 6 + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-532)\/(-36) - 6\/(-27). Suppose 3*y + 1 = -d - 6, 0 = -5*y - l. Let k be (6 - d) + 3 - 2. Solve 3*w - k = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 2*f - 62, 3*t - 4*t - 58 = -2*f. Solve 2*b - 5 = 5*l - 4*l, -f = -5*b - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 3*t + 4 = 0, 2*t + 9 = -2*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6532469, 13064940, 19597411, 26129882, 32662353?\nAnswer: 39194824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand h**2 + h**5 - h**2 + 16*h - 16*h - h**5 + (0*h**4 - h**4 - h**4)*(-1 + 1 - 4*h) + h**5 - 2*h**3 + 2*h**3.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14061 + -281129\/20. Calculate the common denominator of -55\/932 and b.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + -10 - (-2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34190.\nAnswer: 2, 5, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 2*j. Suppose -w = -2*k - 1, j*k = -2*k + 3*w - 3. What is the remainder when 22 is divided by (10 - k) + 2\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2*s**3 - 29*s**2 - 15*s - 14. Let t be u(-14). Sort t, -8, -24 in descending order.\nAnswer: t, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/26820255 and 9\/28608272?\nAnswer: 429124080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1046416.05 nanoseconds to days.\nAnswer: 0.000000012111296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/5 (b) -5 (c) -5.5 (d) -0.2 (e) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -53238 and -0.3.\nAnswer: 15971.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w**4 + 4*w**3 - 4*w**3)*(-1 + 1 + w) + 2*w**5 + w**5 - 6*w**5 + (-2*w**4 - 2*w + 2*w)*(0*w - 5*w + 4*w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8\/(-28) + 620\/14. Suppose -4*r = -4*m + n, 0*r - 5*m - 44 = 4*r. Let l be (-3 + 7 + -2)*-6. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -59757 - -1?\nAnswer: -59756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -4. Let o be 4\/j*(4 - 7) - 3. Let a(q) = 12*q**2. Let r(w) = 4*w**2. What is o*a(d) + 16*r(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sze when three letters picked without replacement from {s: 1, z: 2, m: 1, d: 1, f: 3, e: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -10 + 17 + -26 + 28\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 100343333 (base 5) to base 11.\nAnswer: 255835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 223 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -26 - -30. Factor -9*w - 2*w**4 + 21*w**3 + 6*w**2 + 8*w**4 - 5*w**4 + 5*w**t.\nAnswer: 3*w*(w + 1)*(w + 3)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, o: 1, i: 5, b: 2, z: 1, e: 1}. Give prob of sequence hbo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 - 3*t**2 + 5*t - 2*t - t)*(2*t**2 - 3*t**2 - t**2) in the form m + x*t**4 + o*t**2 + k*t + c*t**3 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v**3 + 28*v**2 - 140*v - 386. Let p be l(-32). Are -79\/129 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -14*w + 10. Let p(i) = 3. Give -c(y) + 6*p(y).\nAnswer: 14*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 5)*(6*r**2 - 3*r**3 - 6*r**2).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 92643, 92669, 92707, 92751, 92795?\nAnswer: 92833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2. Let i(x) be the third derivative of -x**6\/360 - 25*x**3\/6 + 21*x**2. Let s(b) be the first derivative of i(b). Give s(a(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1333.51 rounded to the nearest ten?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 23*w + 251. Calculate x(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the second derivative of 2 + 0*n**5 + 2\/21*n**7 + 0*n**6 + 1\/4*n**4 + 7\/3*n**3 + 0*n**2 - 11*n. Find the second derivative of k(r) wrt r.\nAnswer: 80*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, a: 5, n: 2, g: 10}. What is prob of sequence gi?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9429319.\nAnswer: 61, 154579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000016236 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/12 - (-4406)\/8. Suppose 4*b + d = -3*i, 3*i - 73 = 2*b + 180. Is b*(1 - (-9)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-35*a + 22 + 36*a - 192)*((0 + 3 + 7)*(-23 - 10*a + 23) - a - 3 + 3).\nAnswer: -101*a**2 + 17170*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -296, -305, -336, -401, -512, -681, -920, -1241?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 349*w**3 - 5*w**2 + 5*w + 5. Let q(v) = -351*v**3 + 6*v**2 - 6*v - 6. Give 6*f(n) + 5*q(n).\nAnswer: 339*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = -40157\/14910 + 242\/213. Find the common denominator of 179\/6270 and b.\nAnswer: 43890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the second derivative of 43\/10*j**6 + 0*j**4 + 5 + 16*j + 1\/6*j**3 - 1\/10*j**5 + 0*j**2. What is the second derivative of m(d) wrt d?\nAnswer: 1548*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -135368.38173136 - -0.2.\nAnswer: -135368.18173136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 414061*-10.\nAnswer: -4140610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -107592, -213895, -320208, -426537, -532888, -639267, -745680, -852133?\n\"Answer: -l**3 + l**2 - 106299*l - 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) 7 (c) -0.2 (d) -0.25 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 r, and 2 g when four letters picked without replacement from iigrggrgiirg.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-6) + 292\/219)\/(-2). Which is the closest to 43? (a) u (b) -3\/2 (c) 0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2898368, 2898428, 2898488, 2898548, 2898608, 2898668?\nAnswer: 2898728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 578265.2l in millilitres?\nAnswer: 578265200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {g: 1, b: 2, d: 1, z: 2, y: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -9011*g**4 - 8*g**3 - 194711 wrt g?\nAnswer: -36044*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 545855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i + 5. Let v be d(-5). Let p = v - -23. Let b = p - -3. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(57)\/sqrt(3)*3 - (sqrt(38)\/sqrt(2) + 1))*5)**2 - ((-1*sqrt(171)*5 - sqrt(171))\/((sqrt(45)*-3)\/sqrt(5)))**2.\nAnswer: -100*sqrt(19) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1278 by 213.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 687 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28345 divided by 36.\nAnswer: -28345\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6798462 centuries to millennia.\nAnswer: 0.06798462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1506*j + 0 - 8 + 8.\nAnswer: 1506*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = -2*b + 110, 498*b - 503*b - 133 = -7*r - 374 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of -v**2 - 53*v + 1853. Let b(y) = y + 26. Give -7*b(f) - 4*w(f).\nAnswer: f + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 7*b**2 + 2*b - 1. Let w(k) = -4*k - 15. Let c be (-2)\/1*(-60)\/(-24). Let j be w(c). Let s be u(j). What is the highest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -28*a - 2. Let u(x) = -11*x - 1. Give -5*s(b) + 12*u(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 7*z + 2*n - 16, 3*z - 13 = -n. Let a(c) = -2*c**2 - 27*c - 4. What is the least common multiple of a(-13) and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 8\/24*-3 + (24\/10 - 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -6*((-3)\/(-2) - 2). Let p(l) = 5*l - 3. Let m be p(i). Suppose 24 = 2*h - 2. Solve 4*q - m = 3*s + 20, q - 2*s = h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 19.187, 0, -2\/5, 43, 4\/5, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 8*d - 3. Let r be s(-7). Suppose -r*z - 23 = 9. Let f = -6 - z. Solve 5*b + 7 = f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 381557.\nAnswer: 11, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3682008 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1117.379 + 1410.98. Let b = -294 + o. What is b rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4999 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -261*c + 71*c. Put -1, c, -1039 in increasing order.\nAnswer: -1039, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 779.419633 to 0 decimal places.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -78 and 1.9?\nAnswer: -148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {c: 1, q: 4, t: 1, x: 1, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 43008 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-225*d - 18*d - 26*d)*(-1 + 0 + 2) to k + q*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 55 - 63 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1102 is divided by 547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 512 take away 22579007?\nAnswer: -22578495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 3*y = -8663, 0 = -3*t + 165*y - 161*y + 6506. What is the remainder when t is divided by 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.2 - 0.6. Let o = -67614 - -67614. Which is the closest to o? (a) 0 (b) 3\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8367*i - 311793 + 60783 = 0 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -10*r + 4*r**2 - 5*r**2 + 19 + 12 - 12. Let x be b(-11). Find the second derivative of 7*l - 7*l**2 - 5*l**2 - 3*l**2 + x*l**2 wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2\/3 - 4734754*n\/3 - 5604473860129\/3.\nAnswer: -(n + 2367377)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 291 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*b**2 + 8*b**2 + b**2 - 16*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -12096294427 and -0.4?\nAnswer: 12096294426.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 29*j**3 + 5*j**3 + 28*j**3 - 4 + 9*j**2 wrt j.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -111 times 2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**3 - 12*x**2 + 18. Let k be ((-4)\/10)\/(58\/60 - 1). What is the least common multiple of r(k) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16 and 53522704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-27))\/(4\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 3*i + 90 = 0. Suppose 5*r + 5 - i = 0. Suppose 3*u - 2*d - 61 = 0, -7*d + 85 = r*u - 2*d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 12:37 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (7 - (0 - -1))) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 2)*(z + 2*z + 0*z)*((0 - 8 + 1)*(1 - 2 + 2) + (4 - 2 + 2)*(4 - 2 - 3 + (2 + 3 - 4)*(2 - 6 + 5) + 0 + 4 + 0 - 3 + 5 + 0)).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/4 in 3\/7, 2\/7, 5.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -13*m**2. Suppose 3*v - 2*p = 31 + 5, 0 = 2*v - 4*p - 16. Let w(h) = 2*h - 8 - v + 22. Give w(q(l)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1318, -1868, -2792, -4096, -5786, -7868, -10348, -13232?\n\"Answer: -a**3 - 181*a**2 - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 2*w + 15 = 0. Suppose -w*z = -5*t + 25, -2*z - z - 7 = t. Let n = 0.7 - -0.3. Is t >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 396624 = 49*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 118 - 125.9. Let q = l - -8. Do q and -2\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 75*n - 1. Let k(a) = -3*a**2 + 3601*a + 2. What is k(c(f))?\nAnswer: -16875*f**2 + 270525*f - 3602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1002340931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 487*q**2 - 96*q**2 - 394*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (24\/(-36))\/(2\/(-360)). Suppose p + c = 22. Let t be (-394)\/4 + 2\/(-4). Is t > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 32 = 2*d, -5*d - y = y - 20. Find the third derivative of 13*f**6 + 11*f**d - f**2 - 12*f**6 wrt f.\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 154*p + 40 = 3*g + 149*p, 0 = -2*g - 2*p - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*b + 4939 + 101 = 0. What is the remainder when b is divided by 111?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 3*v + 14, 9*v - 2*o + 12 = 5*v. What is the third smallest value in v, 1, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 279 - 285 - (-7 - (4 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -176.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16 - 12. Which is the fourth smallest value? (a) -0.5 (b) -0.2 (c) -0.01 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 2084463.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -902*u + 22337 = -61549 for u.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 5*v - 5 = -5*l, -2*v - 18 = -4*l. Calculate the remainder when 7 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -16260 and 2404?\nAnswer: -39089040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -19\/6, -5\/2, -6\/11?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2) + 0 + sqrt(2) + (sqrt(8)\/sqrt(2))\/sqrt(2) + -3 + -1)**2.\nAnswer: -66 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -7*y - 112. Let p be b(-16). Let i(k) = k**2 + k + 3. Determine i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6\/10 + (-12)\/20. Let d be (0 - 3\/(-2)) + (-2)\/(-4). Solve -1\/2*f**d + f + p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence phj when three letters picked without replacement from jjjhhhjjjjjjjjhjhjpj?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add -4788621 and 3.\nAnswer: -4788618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 15*y**2 - 9. Let r(s) = -7*s**2 - 4 - 4 + 3 + 9. Give 9*r(g) + 4*u(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w + 2. Let x(t) = -t - 3. What is -6*s(f) - 5*x(f)?\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of -2*x**2 + x - 48. Suppose 2*u = -4*p - 1 - 1, -4*u + 3*p = -29. Let c(r) = -3*r + 1. What is u*y(o) - 6*c(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -5*z - 3. Let d(u) = 10*u + 6. Let s(l) = 5*a(l) + 2*d(l). Let w be s(-2). Solve -3*g + 1 - w = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1985\/7 - 283. Let l = -5471 - -5468. What is the biggest value in -0.5, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - 24\/(-40))*-3. Find o such that 6\/5*o**4 + 0 + y*o**3 + 0*o + 2\/5*o**2 + 2\/5*o**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*k, -2*k = 4*u + 1 + 69. Let x(o) = -o**2 - 18*o + 29. Is x(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 + 3*c - 4. Let u be a(-4). Suppose 4*w - w - 66 = u. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**0\/a)\/(a**3\/a)*a\/(a\/a**4)*a\/a**(-1)*(a\/(a**(-1\/3)*a)*a)**(1\/2)*(a\/a**(-2))\/(a**(-2\/7)*a) assuming a is positive.\nAnswer: a**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 8*x - 4*x. Solve 0 = -x*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 2 - (28 - (75 - 3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -660 and 27.59.\nAnswer: -18209.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of 11*z**4\/8 - 5*z**3\/6 + 2*z**2 - 3*z. What is the remainder when j(3) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-236)\/36 - (-9)\/(-6)*-2. Which is smaller: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q*q*q**(-4)))\/q**(-6)*(q\/q**(2\/7))**(3\/19))\/((q\/(q*q*(q**(-1)*q)\/q))**24)**(-4) assuming q is positive.\nAnswer: q**(1212\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -55, 5, -139?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 2*c + 3*c = 2. Let j(v) = 2*v**3 + v**3 + v**2 + 9*v**3 - v. What is the tens digit of j(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24 + -23.9. What is the closest to z in 4, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2316, -8440, -14564?\nAnswer: -20688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 4*r = -22, 4*r - 218 = -238 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*c**4*c*c**(3\/5)*c\/(c\/c**(2\/25))*c\/((c\/c**(-1\/19))\/c) assuming c is positive.\nAnswer: c**(3623\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**2 + 83725*z - 7039956. What is m(84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5547861 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b**3\/5 - 2761419*b**2\/5 + 127090305417*b + 635454288507\/5 = 0. What is b?\nAnswer: -1, 460237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*t**2 + 234*t**2 + 81*t + 2 - 83*t + 52*t**2.\nAnswer: 299*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1828 and 0.0225?\nAnswer: 1828.0225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/4, 49, 0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 18 = -3*f, 5*k = 4*f - 0*f + 5. Let v be ((-20)\/(-60))\/((-3)\/(-9*6)). Let b(x) = -v + 2 - 2*x - 7 + 10. Calculate b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -51 - -87. Suppose 2*c - 12 + t = 0. Is -12 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11997 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 4, 2\/7, 139843, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-52 - 611)\/(-39))\/527\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -3*d**3 + d**2 + 8*d + 13. Let b be l(-2). What is the derivative of -28*a**3 - 32*a + 118 + b*a**3 + 39 wrt a?\nAnswer: -9*a**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minus 22056831?\nAnswer: -22056665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14084367 and 5121588?\nAnswer: 56337468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 h, and 1 a when three letters picked without replacement from aawjrwh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, 2, -2, 49, 0.36 in decreasing order.\nAnswer: 49, 2, 0.36, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -1814.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -7*n**2 + 3*n**2 + n**2. Let q(h) = 3*h**2 + 5*h + 5. Let b(d) = -2*d**2 - 3*d - 3. Let t(i) = 10*b(i) + 6*q(i). Determine t(p(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*h + 40*h + 725 - 83*h + 462.\nAnswer: -8*h + 1187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus 121.599?\nAnswer: 121.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 4*q + 7 + 14, 3*r - 56 = -5*q. Solve -22*a + 15 = -r*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - -11000100001?\nAnswer: 11000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r. Let z(m) = -188*m**2. Give z(w(n)).\nAnswer: -188*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 753296.7l to millilitres.\nAnswer: 753296700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 500\/3 - 166. Let k = 16.7 - 19.7. What is the closest to r in 2\/17, 3, k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26147 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 366265 (base 10) in base 11?\nAnswer: 2301a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4142 and 654?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 23 = 3. Suppose b*m = -4*o - 16 + 4, 3 = -2*m - o. Suppose m = -2*c - 3*c + 15. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1356771 (base 12) to base 2\nAnswer: -1110101011010111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 541*v - 8166 = 9071 + 1698 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-10) - 32922\/(-295). Let p be 222\/27 - 4\/18. Suppose -d = p*s - 10*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116758 less than 116758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 + -3. Suppose 4*u + 39 = 187. What is the remainder when u is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5395 + -5390. Factor 4*f**4 - 4*f + 8\/3*f**3 - 4\/3 + 4\/3*f**y - 8\/3*f**2.\nAnswer: 4*(f - 1)*(f + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 2 (b) -0.3 (c) -0.4 (d) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16 less than -165531?\nAnswer: -165547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q - 47*p + 52*p - 1, 0 = -3*q + 4*p + 8. Solve 0 = -q*i - 3*z, -2 = i + z - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -3*d - 224, d - 4*d + 4*w - 226 = 0. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 608972 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 + -6. Suppose -3*z + 4*w - 3 - 18 = 0, -y*w = -z - 15. Let a be (2 - 5 - 3)*z. Solve g = 5*p + 3*g + 23, 0 = -2*p - 3*g - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6541 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 + h**2. Let t be q(-2). Suppose -2*b - t = -6*b. Suppose b*p - 6 = -0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -87 - 72. Let r = h + 266. Let u = -106.9874 + r. What is u rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -2\/40108857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11910 is divided by 89?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*b = -12*b + 24597. List the prime factors of b.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 178*m**3 - 2*m**2 + 1966 wrt m?\nAnswer: 534*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -149, 620, 1 in decreasing order.\nAnswer: 620, 5, 1, -2, -149","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*h + 6*h + 3*h + 17*h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4566689 is divided by 3096?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1292445\/(-123090)*(6\/(-4))\/(-3)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2018, 3, -2\/7, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -2*v + 26, 5*v = -0*v - 3*p. Suppose 451 = 3*m - 4*w, -2*m - v*w + 324 = -w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 9 + 1)*(-5 + 5 + 4)*(-2*z + 4*z - 3*z).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 2\/31 (b) 0.09 (c) 3 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -0.2 (c) 0.06 (d) 4 (e) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -4*p + 52, -3*p - 3971*g + 3966*g = -39 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(1539) + (-2 + sqrt(19))*1.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 1, 0, 0.1, -0.03281?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -32113231132 (base 4) to base 14.\nAnswer: -700c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 11*r**2 + 11*r + 8. Let a(w) = 11*w + 1. Let f be a(1). Let t be c(f). Let p be 3\/3 + t - -5. Solve -9 = 3*n + k + p*k, -k + 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 108694 + 0?\nAnswer: 108694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 340 (b) 5\/36 (c) 954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -4*u + 7. Let k = -32 + 33. Let j be (2 + k)\/(-3 + (-5)\/(-2)). Let h(f) = -f + 1. What is j*h(l) + q(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11212)\/8409)\/((-4)\/159*1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 562192895 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - 0*j - 231. Let l(k) = -k**3 - 4*k**2 + 18*k + 9. Let g be l(-7). Suppose 18*z = g + 96. Calculate the greatest common factor of j and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 3*s**3 + 102*s**2 + 756*s - 1944 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2 * 0.62\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.65 - -50701.\nAnswer: 50699.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18\/(-99) - 636\/11. Let n be j\/(-3)*(-15)\/(-10). Let u = -14 + n. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 49373*l - 52. Determine v(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 437 - 43*i + 417 - 10*i**2 - 855 - 319*i**3 - 4*i**4 wrt i?\nAnswer: -96*i - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*n - 72 - 72 = 0. Is (-8)\/(-12)*954\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, 14, 2, -2\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/7 + (-7)\/49. Let r(b) be the third derivative of -b**2 + g*b**3 + 0*b + 1\/60*b**5 - 1\/210*b**7 + 0*b**4 + 0 + 0*b**6. Suppose r(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1944222474?\nAnswer: 2, 3, 31, 10452809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7056 - 73?\nAnswer: -7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2074 - -8212325883?\nAnswer: 8212323809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1*0*(-1 + 2). Which is smaller: y or 10\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 38 + 1\/(4\/8). Suppose 2*q + 2*q = -o. Sort q, -1, -3 in descending order.\nAnswer: -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:32 AM and 12:53 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -3 - 101*o + 103*o + 1. What is k(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -18. Let v = 2 - u. Let w be (v\/(-3))\/((-4)\/(-6)). Solve 0 = w*o - 2 + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 + 5*g**2 + 2*g + 2. Let w be n(-4). Suppose y + 4 = w. Let j(k) = -k**3 + 6*k**2 + k - 2. Is j(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b + 28. Let m(v) = -v - 9. Let k(g) = 9*m(g) + 2*p(g). Let s(i) = i + 6. What is -2*k(h) - 9*s(h)?\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -50*i**5\/7 - 28*i**4 - 134*i**3\/7 + 12*i**2\/7 = 0. Calculate i.\nAnswer: -3, -1, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 7*r**2 - 8*r - 61. Calculate the lowest common multiple of 341 and c(-5).\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 424, 422, -10, -872, -2164, -3886?\n\"Answer: -215*j**2 + 643*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 5*o = 4, -8*o + 6 = -3*j - 2*o - 15*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -357616*h**3 + 839*h**2 + 91 wrt h?\nAnswer: -2145696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 140\/19041?\nAnswer: 140\/19041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (((-9)\/(-12))\/((-18)\/(-96)))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8400444\/133 + 63160. Let k = -18\/19 - c. Suppose 0*l - 4\/7*l**3 - k*l**2 + 0 = 0. Calculate l.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1616 and 18988?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16518 and 21234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1081528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes after 7:57 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**4\/2 + 7*p**3\/6 + 10*p**2\/3 + 2*p\/3.\nAnswer: -p*(p - 2)*(p + 1)*(9*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**3 + 11*y**2 - 12*y + 21. Let w be v(10). Let f = -855 + 1709\/2. Which is the nearest to f? (a) 12 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**2 - 669*y + 21595. Give k(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 4*-558\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is ((-72)\/(-9) - 17) + 347 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - 7*o**2 - 9*o + 8. Let w be u(-6). Let g(c) = w*c + 30*c - 53*c. Let t(b) = -15*b**2. Give g(t(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 - 147*g**2 - 4205*g + 75974. What is y(-93)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8218, 15704, 21726, 25552, 26450, 23688?\nAnswer: 16534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 432 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + 3.7. Let z = x + 0.4. Let w be (4\/3)\/(84\/(-14)). Sort z, -0.6, w in increasing order.\nAnswer: -0.6, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 2*p - 12. Let b be i(-9). Let x be 79249\/b - (-1)\/3. Let j = x - -2646. What is the common denominator of -75\/4 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 658 and 152327.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 94*g - 15 = 96*g + x, -2*g + x - 21 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 108485853101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j - 124. Let a(z) = 2051*z**2. Give u(a(f)).\nAnswer: -2051*f**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -203, -585, -1143, -1877?\n\"Answer: -88*c**2 - 118*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -i - 2. Suppose 5*k + 0*a - 2*a = 7, -3*k = 2*a - 17. Is k*2\/(-4)*i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 1:41 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 206999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1167 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 20242588 by 15.\nAnswer: 20242588\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 + 2*j - 4. Calculate the remainder when 29 is divided by z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.99 - -0.01. Suppose 4321*u - 4326*u = -20. Let m = -4.7 - -28.7. What is the fourth biggest value in m, -4, d, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 13321573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, x: 1, b: 4, y: 2}. What is prob of sequence bpbb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1248932 is divided by 1248625?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/23)*o**1\/o)\/((o**(7\/3)*o)\/(o**4*o)) assuming o is positive.\nAnswer: o**(121\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.101 - 0.101. What is the closest to c in 1\/4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/450 and -139\/3150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together 0 and 0.18241.\nAnswer: 0.18241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 628911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5507*o + 59861 = -87339 - 210755 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 3, 2, -5, 5 in decreasing order.\nAnswer: 5, 3, 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 11:35 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 11 - (-1858 - -1838).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2188, 2260, 2332, 2404, 2476?\n\"Answer: 72*t + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14 - -18. Suppose -b*g = -3*g. Suppose g + 0*l - 1\/3*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-4\/5)\/(o\/o**(-2\/13)))\/(o*o\/o**(2\/3))**(-1\/6))**(1\/5) assuming o is positive.\nAnswer: o**(-1013\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -16*v - 24. Let r be t(3). Let f be (r\/(-60))\/(1 + (-3)\/5). Suppose 2*g - 5*g = n + 1, 4*n = g - 4. Solve g = -f*s + 9 + 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10822 (base 12) in base 4?\nAnswer: -11112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/4 + 3710*h**2 - 30686853*h\/4 + 8595428463\/2.\nAnswer: -(h - 12494)*(h - 1173)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.0436 + -20.8436. Let g = u - -19.8. Suppose 0 = 5*r, 0 + 3 = -3*o - 2*r. Which is the closest to g? (a) 5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -456000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 82\/3 - 343\/12. What is the nearest to -6 in j, 6, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*s - 18*s + 23*s - 19*s + 28*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -144 - -266. Calculate the remainder when y is divided by 2\/(-12) - 2057\/(-66).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -84, -88, -92, -96, -100?\n\"Answer: -4*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 PM and 7:50 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - b)*(0*b**3 - b**3 + 0*b**3 + 1).\nAnswer: b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4224 divided by 3?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*o + 4*g, -g + 6*g = -25. Suppose o*z - z = -15. Let u(b) = -b - 5. Determine u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (10 + 1045\/(-99))\/((-10)\/12). Determine x, given that 0*x + 2\/3 - k*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*c**2 - 8*c**2 - 12*c**2.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6210 = -5*c - b + 1773, 5*b = c - 1607. Let g = -2\/171805 + -1621323773\/1030830. Let y = c + g. Find the common denominator of 40 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 10*n - 16. Let t(z) be the first derivative of z**5\/60 - 189*z**2\/2 - 70. Let q(s) be the second derivative of t(s). Give q(j(p)).\nAnswer: 100*p**2 - 320*p + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 636\/2650*-75 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 32632*f - 65259. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 5.6. Let b = -0.047 + -0.453. What is the nearest to -0.1 in b, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 67 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*b - 290*b + 66*b + 72*b + 73*b + 9*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.22 from -4298054.\nAnswer: -4298053.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172988978.\nAnswer: 2, 86494489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 16e56 (base 15) to base 16.\nAnswer: 1217a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 4219, 70 in decreasing order.\nAnswer: 4219, 70, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 567*l + 8495 = 572*l + 5*g, -4*g - 5076 = -3*l. Calculate the highest common factor of 928 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/6 - 2\/9*-87. Let a(w) = 8*w - 51 - 11*w + 66*w - r. Does 28 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 456092438 and 3634?\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1999874907 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -x + 2*x. What is the common denominator of -37\/2 and 250\/(-20)*3*x\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -m + 95, 0 = 5*g - 0*m + 4*m - 95. Let v = -17 + g. Suppose 95 = v*p - p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 169.79 + -172. Let d = c - 1.79. Sort d, 2, 0.06, -3\/2 in descending order.\nAnswer: 2, 0.06, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + -2. Suppose -4*h + 49 = 5*x, -x - 3*x + 14 = -h. Suppose -4*k = -4*p, p + 0*p - 3*k = -h. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*y**4 - 47*y**3 + 21*y**3 - 1182 + 13*y**3 + 2*y + 13*y**3 to d + m*y**2 + f*y**3 + n*y**4 + q*y and give d.\nAnswer: -1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4725.367 + -10054.0107. Let u = y + 5241.65. Let m = u - -87. What is m rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15176.40999981 + -15176.79. Let u = a - -0.38. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -41413353*r**2*z**2 - 1323410*r*z**2 + z**2 - 3*z + 2 wrt r?\nAnswer: -82826706*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 2*h**2\/11 + 348*h\/11 + 13570\/11 = 0. Calculate h.\nAnswer: -115, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -10*r + 364. Let q be -11 + 11 - -10*r. Calculate the highest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.07105 - -0.09683. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -34 - 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*s + 2*s - s + (-65 + 3 - 12)*(2*s - s + 0*s) to m + k*s and give k.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-6)*4*(-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 2*p**3 - 35*p**2 + 135*p + 94. Let i be b(11). Solve -z - i = -a, -2*z + 4 = a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**5*w*w**(1\/4))\/(w**(4\/11)\/w**(-3)))**(-20) assuming w is positive.\nAnswer: w**(-635\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 PM and 9:44 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (23\/3)\/((-2)\/(-12)). Suppose -3*d - 5*l - 16 = 0, 0 = 5*d - 5*l + 6 - o. Solve d*s - 12 = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3661 and 1.\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -6*w - 10. Let s be x(-2). Is 10 a factor of s - ((-1 - 0) + -67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (100\/225)\/((-2)\/(-36))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is d in d**4\/10 + 11797*d**3\/2 + 88471*d**2\/5 - 23594*d - 353892\/5 = 0?\nAnswer: -58982, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -4*f + 127. Determine q(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2160*l**5 + 3*l + 504 wrt l?\nAnswer: 43200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -33 - -24 - (98 - 3). Suppose -4*u = -302 - 130. Let p = u + v. Solve 3*a + 14 = y, p*a = -y - 3*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 17.37977mg to nanograms.\nAnswer: 17379770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/10 in -10, -4, 4319?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 76842\/3199 or 23?\nAnswer: 76842\/3199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 29.71 - 29.73329. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.4 and -10251184.\nAnswer: -10251183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/8802466 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g + 4. Let f = 12 - 14. Let w be h(f). Let c(d) = -2*d**2 + 2*d + 1. Let i(n) = -3*n - n**3 + n**2 - 2*n + 3*n + n. Determine w*i(y) + c(y).\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2766964?\nAnswer: 2, 43, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 2645\nAnswer: -1322.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fdff when four letters picked without replacement from {x: 9, f: 7, d: 2}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5062, 22017, 50858, 91585?\nAnswer: 144198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 4:57 AM?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let u = -49.96 + 51. Let o = -199.04 + u. Let p = -197.9999797 - o. Round p to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 136071030, 136071031, 136071032?\n\"Answer: r + 136071029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -125044*f*h + 10*h - 835 wrt f.\nAnswer: -125044*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87.1 - 87. Let q = 4 + -2. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n + 7. Let u be i(8). Let c = 6 + -5.7. Let w = c + -0.1. Sort 3\/4, w, u.\nAnswer: u, w, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*i**3 + 0*i**3 - 80*i - i - 26*i + i**3 to the form s*i + y + d*i**2 + a*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -4, 3, 5, -17 in increasing order.\nAnswer: -17, -7, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 5*g = -3*b - 14, 5*g = 4*b + 26. Let n be (-18)\/(-8) - (-4)\/(-64)*4. Suppose -6*k = -n*k - 4. Is b less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 188 + 0.026.\nAnswer: 188.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12973889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 5*q - 5. Let w be t(3). Suppose 17*l - 12*l - w = 0. Suppose i - 2*v - 435 - 502 = 0, -5*i - l*v = -4721. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1249, -2510, -3773, -5038, -6305, -7574?\nAnswer: -8845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.87281 and -0.0585.\nAnswer: 0.81431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6054 + -121179\/20. Calculate the common denominator of (-8)\/20 - 762\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**2\/4 - 223*y\/4 - 111\/2 = 0. Calculate y.\nAnswer: -222, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -1113, 61, -4 in decreasing order.\nAnswer: 61, -4, -7, -1113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -12*z**2 + 3*z + 3. Let f(o) = -o**2 + o + 1. Calculate -3*f(a) + q(a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 4*j + 1 - 12 = 0, 3*j - 3 = -3*h. Let s(x) = -18*x**2 - 1. What is s(h)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15181 is divided by 5375\/344 + 6\/(-32)*(-6 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(187)*3*-2)\/((-5*sqrt(55))\/sqrt(5))*-3.\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-20 + (2 - -17 - 9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-2) - (-21)\/(-2). Let i be ((-18)\/(-2))\/(-3) + 0. Let k = i - g. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 3*x = 14, 5*g = -2*x + 7*x + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4508 = 5*h - 13913. Suppose -r = -2*n - n + 1410, -4*n = -r - h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3220 divided by 14.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 255754*x**3 - 20*x**2 + 5*x + 343398 wrt x.\nAnswer: 1534524*x - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 2*o + 42 = 0, -8*o + 3*o = 0. Let x = 63 - 23. What is the least common multiple of (-57)\/(-15) - (-8)\/x and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.03 + -3.03. Let r = f + 3.4. Let m = 0.1 - r. Which is the third biggest value? (a) 0.5 (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 19104\/40 + 12\/30. Let r = n - 259. What is the remainder when r is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.77701 to two decimal places.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -d + 2*d + 0*d + d - 9*d - d + (-1 + 1 - 2*d)*(-2 - 3 + 3).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0342 and -3.\nAnswer: 0.1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 - (-6 - 36) - 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -930 - -39101\/42. Calculate the common denominator of b and -73\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 230*q**2 + 71*q**2 + 297*q**2 + (0 + 1 + 0)*(0*q - 2*q**2 + 0*q) - 3*q**2 + 1 - 1 + 2*q**2 - q**2 + q**2.\nAnswer: 595*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11248 and 483664.\nAnswer: 483664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*g**3\/8 + 69*g**2\/8 + 39*g\/4 - 18.\nAnswer: -3*(g - 24)*(g - 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = b - 16. Let w = b + 16. Solve w*x - 2*x = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 428837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 26\/17, 19 in decreasing order.\nAnswer: 19, 26\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112101 is divided by 173.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 30 - 212\/7. Let y be 185 + 2\/(-3) + 0. Let c = y + -190. Is c < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 AM and 7:02 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - -5)\/((-3)\/2). Let p be w\/(4\/(-2)) - -2. What is the highest common factor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*x - 2*z - 2*z, 4*x + 4 = 3*z. Factor 1 - 5 - 4*n**2 - x*n - 6*n.\nAnswer: -4*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 62, 0.1, 1, 5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -6 - 3*n**2 - 17 - 3*n**2 + 4*n**3. Is y(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31945 times 5?\nAnswer: -159725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 18440 = z, -4*z = 2*n - 11094 + 3736. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 254, 517, 808, 1139, 1522, 1969?\n\"Answer: 2*g**3 + 2*g**2 + 243*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -29a1440?\nAnswer: 29a1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**3 - 2*c**2 - c - 2. Suppose -5*q = -3*x, 3*x - 3*q - 2 = 4. Suppose -z - x = -7. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.91 (b) -0.1 (c) 0.4 (d) -1.28 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4374 - 4373. Which is the second smallest value? (a) 0.45 (b) 1\/3 (c) q (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.4 + 0.2. Let p = 0.1 - 0.3. Let h = p - -0.6. Put u, 3, h in descending order.\nAnswer: 3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17 - -17. Suppose 2*n - 4*z = s, -4*z - 1 = -4*n + 15. Let d(g) = 6*g**2 - g + 1. Calculate the remainder when d(2) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*a + 210 = 19*a. Let z(i) = -2 - 12 + 3*i - 10. Let y be z(8). Solve y = -4*l + 3*l - a*w + 3, 5 = -3*l - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -6616*m**3\/13 + 146570*m**2 + 15666112*m\/13 - 4736\/13 = 0.\nAnswer: -8, 1\/3308, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 866148.\nAnswer: 2, 3, 89, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -541\/2 in 1\/4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 1)*-247*(-56)\/9464*26\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -416, -6 in descending order.\nAnswer: 1, -6, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccjjaczaccnnacnz. What is prob of picking 1 j and 2 a?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 340 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of c**8\/1176 + 2*c**7\/735 - c**5\/105 - c**4\/84 - 3*c**2\/2 - 2. Let b(u) be the second derivative of t(u). Factor b(h).\nAnswer: 2*h*(h - 1)*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 2 - 33*h + 2 in the form z + j*h and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 342\/4 + (-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 812, -0.3, -0.0546 in descending order.\nAnswer: 812, -0.0546, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -5*(sqrt(5) + (sqrt(330)\/sqrt(6))\/sqrt(11) - (sqrt(200)\/sqrt(4))\/sqrt(10)) + -5)**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v**2\/5 - 1468*v\/5 = 0.\nAnswer: 0, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -29205*x**2. Let h(o) = -o**2. Determine g(h(y)).\nAnswer: -29205*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -52, -94, -136, -178, -220, -262?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-11 + 8 + -1))\/(1 + -23)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 3 = -5*y. Let g be (-1 + 1)*y\/2. Suppose g = -c - 2*c + 6. Solve -t - 5*w = -0*t - 8, -3*t = c*w - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 25 = 5*s, 0*l + 4*s - 104 = -5*l. Suppose -2*c + l = -40. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/9? (a) -71 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 5, -36 in increasing order.\nAnswer: -36, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -98, 202, 502?\n\"Answer: 300*m - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8\/243 + -5306\/1215. Is -3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03118 rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 15611375683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - 612\/(-36))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 4, b: 11, l: 2, r: 2}. Give prob of picking 2 r and 2 m.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ihdii. Give prob of picking 2 i and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of 5435*x**4\/4 - x**3\/3 + 14*x**2 - 49*x - 6621. Find the third derivative of t(n) wrt n.\nAnswer: 32610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 4861*k**2 - 2 - 13461*k**2.\nAnswer: -18322*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 247*v**2 - 7*v**2 + 19741 - 19741 - 16*v + 88*v**2.\nAnswer: 328*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3704125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*p + 164 = -16*p. Let h = -16 - p. Calculate the greatest common divisor of h and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 2 - 8 = 0. What is the common denominator of j\/(-5) - 2715\/350 and 13\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 3*h + 20. Let s = h - -6. Suppose -10 = -s*p + p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 544 (base 6) in base 3?\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -358570026, -717140050, -1075710074?\nAnswer: -1434280098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (37 + (16 - 33) - -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -989425*l - 141015 = -988240*l for l.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 + 3*b**2 - 2*b - 3. Let l be p(-3). Suppose 4*a + 4 = -4*j, 0 = 2*j + 2*a - 5*a - l. Solve j*v + 3 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10010000 - 1000010001001?\nAnswer: -1000100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = -0*z, 0 = -2*w + z + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74940 = 1157*v - 1160*v. List the prime factors of v.\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -138154, -4, -2\/7 in increasing order.\nAnswer: -138154, -4, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 5:35 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -27*k + 79. What is v(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 17 in 2, -2\/317, -164?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 3*c**2 - 12*c + 17. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54*w + 166*w + 108534 - 108544.\nAnswer: 112*w - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, 62, 2 in ascending order.\nAnswer: 1, 2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3180*l - 8071*l + 2059*l - 6575*l.\nAnswer: -15767*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -120 (base 5) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9370490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-3)*3*4\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -40ebeb (base 16) to base 13\nAnswer: -b5c797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 594 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3*(-140)\/(-42)*(-2)\/5. Suppose 0 = 5*t + l - 8, 3 = -t + 2*l + 9. Suppose -2*z + 2*v = 3*z - t, -5*z - 2*v + 18 = 0. Solve -z = -j*w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k - 7. Let g be d(10). Suppose 4*v = 3*v. Differentiate -5*z**2 - g + v*z**2 + 4 - 4 with respect to z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8326 is divided by 1187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/2*2)\/(4\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -139300 by -34825.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3660 - 1559. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5582, 128, -0.02 in decreasing order.\nAnswer: 5582, 128, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - -1. Let r(x) = -1366666*x - 2. Let j be r(l). What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 8*a**3 + 9*a - 9. Suppose 0 = o - 4. Suppose 24 = 3*d - o*k, 0*k = -5*d + k + 57. Let y(w) = d + 2*w + 2*w**3 + 6 - 20. Calculate -2*s(r) + 9*y(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.4 (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 6719.166 centuries to decades.\nAnswer: 67191.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + 334?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59, -195, -417, -725?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -210?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -3, -18, 5, -21779 in increasing order.\nAnswer: -21779, -18, -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2 - 1)*0 - 33\/(-66))*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(2 - (4 + -1)). Let v be 58\/(-18) - 4\/(-18). Sort v, -4, j.\nAnswer: -4, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y - 3*y**2 + y)*(-2*y**3 + 0 + 0) + 2*y**5 - y**5 + 0*y**5 - 3*y**5 + y**5 + 5*y**5 + 2.\nAnswer: 10*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -6017*w**3 + 6*w**2 + 28*w + 6. Let k(i) = -5*i**3 - i**2 - 5*i - 1. Calculate 6*k(l) + v(l).\nAnswer: -6047*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9662 is divided by 1930.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -40281*j - 27360 = -40569*j for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u + 8. Let s be x(6). Let v = 11 + -6. Let n be (v + -5)*(0 + -1). Solve n*l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 273613398 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1712, 1904, 2096?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1296*j**5 - j**4*y**2 - 3*j**4 - 6*j**2*y**2 - 2*j*y**2 + 2*y - 71 wrt j?\nAnswer: 77760*j**2 - 24*j*y**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - -1)*9\/2. Let v = p + -7. Find the second derivative of -7*z**2 - 5*z + 2*z + 7*z**v + z**5 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/(-3))\/((-2)\/(-4)). Let s = c - 4. Solve -h + 5 = -6*h - 5*p, -5*h + s*p = -22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42464 is divided by 531.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 plus -1318.68?\nAnswer: -1318.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 10*m - 117. Let t be n(12). Solve -t = 7*g + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 222 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 6*x**2. Suppose 2*b - 7 = -h, -b - 7 = -5*h + 2*h. Let j(p) = 3*p**2 - 4518*p + 4518*p - 2*p**b. Calculate j(v(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 112490 to the nearest 1000.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 97.57775 weeks in nanoseconds?\nAnswer: 59015023200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cbbbcccbcccbcc. Give prob of sequence bcb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -10713, -10676, -10619, -10536, -10421, -10268, -10071, -9824?\n\"Answer: p**3 + 4*p**2 + 18*p - 10736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -101, -12, 3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxrr. Give prob of picking 1 x and 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 2 + 5 = 0. Let y = p - -20. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -3655\/6411?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -316, -941, -2088, -3913?\nAnswer: -6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 - 0) + (-10)\/5 + 8. Suppose 5*x = v + 2*v - 4, -a*v + 18 = 3*x. Is -5 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -0*z - 2*z. Let d be 3\/2*(z + 0). Let s(x) be the first derivative of x**3\/3 + 3*x**2\/2 + 4*x + 2. What is s(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -302803, -302804, -302805, -302806, -302807, -302808?\nAnswer: -302809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(2) - (sqrt(32) + sqrt(32) + (1*sqrt(32) - sqrt(32)) - sqrt(32))))**2.\nAnswer: 12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -3*p. Suppose p*z + 3*z = 9. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*(j\/j**(20\/3))\/j*j)\/(j*j\/j**3*j)*(j*j**(4\/5)\/j*j)**(-6\/17))**(-2\/21) assuming j is positive.\nAnswer: j**(2704\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-38)\/361*19 + 132\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 320 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 113 = -105. What are the prime factors of (c\/6)\/((-4)\/(-1236))?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*l + 4. Let f(q) = q + 9*q - 11*q**2 + l - q**3 + 4 - 6. List the prime factors of f(-12).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x - 16. Let k be b(-18). Let j be 1 + -6 - (-1 + k). Which is bigger: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 115*b - 77*b - 105266641 + 32926155. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-10)\/40)\/((-3)\/2029572) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0094369626 to six dps.\nAnswer: 0.009437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38058120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 + -5)*(2 - (5 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8165.5 + -8166. What is the closest to 5\/2 in 0.2, m, 0, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 324 = 5*m - 3*m + 4*x, 2*m = -x + 333. Suppose 0 = -n + 4*w - m, 4*n - 3*w + 553 = -106. Let u = -116 - n. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + -5. Let h be w*((-16)\/6 + 2). Find the third derivative of 9*p**2 - 5*p**2 - p**2 + h*p**3 wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94432*g + 94457*g - 341200 = 0. Calculate the highest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -122 (base 15) in base 7?\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -63*i + 107 + 8 + 2216 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*a + 669 - 213 - 248 + 0*a - 208.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 166471?\nAnswer: 166471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3341, 7801, 13383, 20087, 27913, 36861, 46931?\n\"Answer: 561*d**2 + 2777*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is -160.9 rounded to 0 decimal places?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 8*j + 3246. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 94*h**2 + 9*h - 413. What are the prime factors of q(-13)?\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37 + (-352)\/16 + 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 303*p**2 + 2. Let d(n) be the first derivative of -2*n**3\/3 - 148. Give c(d(t)).\nAnswer: 1212*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((96\/(-7))\/(-8))\/(4\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 2*q + 11 - 53, 5*q - 5*w = 155. Solve 20*j = -6*j - q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -225277, -225275, -225271, -225265?\nAnswer: -225257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 190*a**2. Let f(k) = -9*k**2 + 4*k. What is f(v(m))?\nAnswer: -324900*m**4 + 760*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1427 - 3?\nAnswer: -3.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 + 31. List the prime factors of y + (2 + -1 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 6:39 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, y: 6, d: 1, q: 8, a: 1}. Give prob of sequence yd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3206941 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 298 and 6109.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 - 3*b - 5. Give y(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 20 = -5*p, -4*l - 24 + 82 = p. Is 6 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 2*q - 4)*(3 + 2 - 1)*(-q - 9 + 9) + (-4*q**2 + 3*q**2 - q**2)*(-12 - 5 - 2) as m + r*q**2 + b*q and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 424, 894, 1384, 1894, 2424?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -126*f = -228*f + 55*f - 3759 + 610 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from avvkvvvvvatatkv. Give prob of picking 1 a, 2 v, and 1 k.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 41445119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/2433 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/1 + 0)*(-12 + 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {z: 1, e: 2, m: 2, f: 2, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1152 divided by 24\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 696*t - 710*t + 102886. Let o = 11180 - t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1966*q = 12850 + 23277 + 48411 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -42322 (base 7) to base 6.\nAnswer: -120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 16671\/(-5559) - -6*(-2)\/(-4). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -233, -466, -695, -920, -1141, -1358, -1571?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3054 + 5*q**2 - 1529 - 1521 + q in the form x*q**2 + y + u*q and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from qqru.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g**2\/6 + 3*g = 0. Calculate g.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3 - (-2 - 3) - (-145 - -164)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/46 and -53\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 497247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b + 4. Let k(r) = -r**3 - 5*r**2 - 7*r - 6. Let q be k(-4). Let d(s) = s**2 - 6*s - 7. Let f be d(q). What is z(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -48\/53 and -27\/5?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 990 and 138270?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 99 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2800, 5596, 8392, 11188, 13984, 16780?\nAnswer: 19576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-143)\/(-60) - (2\/(-8) - -1) and -10\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -4*o - o - 6, 5*y = 5*o. Let n be (-11)\/(-2) + y\/4. Sort 1, n, -2 in descending order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -110 - -108. What is the closest to j in 0.1, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzkzzzzzzzzzzkzzz. What is prob of picking 3 z?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -587564 divided by -4.\nAnswer: 146891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 + -1. What is the smallest value in 19, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 101*i - 76*i - 906725. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 3) + 10 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 1629976 by -8.\nAnswer: -203747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**4 - 4344*m**3 + 17408*m**2.\nAnswer: -2*m**2*(m - 4)*(m + 2176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -38979 = -6810*r + 470772 + 395979 for r.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1283950 and 50.\nAnswer: 1283950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor q**5 - 1384*q**4 - 4158*q**3 - 4160*q**2 - 1387*q.\nAnswer: q*(q - 1387)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*y - 689 = 9536. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 11, q: 1, o: 4}. What is prob of sequence qo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -7467246, -14934477, -22401708?\n\"Answer: -7467231*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -31617016 greater than or equal to -31617015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57 - 57 - 2715*h**3.\nAnswer: -2715*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -114 + 455?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**3 - 95*h**2 + 573*h - 24. Give c(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 272872878.\nAnswer: 2, 3, 45478813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, l: 1, c: 2, n: 2, i: 2}. Give prob of sequence nl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 5 - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1451 + -1469 + -2 + (-11 - 0 - -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -105.6 - -3.6. Let w = x + 97. Which is the closest to 0? (a) w (b) -8 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*w - 3*w + 128*w)*(-4 + 4*w - 2*w + 5).\nAnswer: 304*w**2 + 152*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 643 and 704728.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -2. Let f = 0.1 + 0. What is the smallest value in q, -1, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z = 45889873 - 10609873. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 96 and 40116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 + -8. Let j(q) = 1. Let w(p) = -2*p. Let t(m) = x*w(m) - j(m). What is the first derivative of t(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 - 7*x - 9. Let b be v(7). Let z = -1 - b. Let w be (-6)\/(-8) + 786\/z. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**1)**(2\/19)*(r\/(r\/(r*r*r**(-1\/6))))\/(r\/(r\/(r\/(r*r*(r**6\/r*r)\/r*r*r)*r))) assuming r is positive.\nAnswer: r**(1031\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2317 is divided by 266.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*i*x**3*y - 2*i*x**2*y + 192*x**3*y - 2*x**3 - x**2*y + 3*x**2 + 10 wrt x?\nAnswer: 12*i*y + 1152*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12030 + -17086. Let i be y\/(-2 - (2 - (-12502)\/(-3125))). Round i to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 4*y + 21, -4*y = -3*d + d + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1002*7\/14*1?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (631*k - 61*k - 108*k)*(0*k + 0*k + k)*(-k**3 - 4*k + 4*k).\nAnswer: -462*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -3, 0.15, 19?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-5 + -1 + sqrt(500))*-2)**2.\nAnswer: -7680*sqrt(5) + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - 2.856.\nAnswer: -5.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -168.5098625 to two dps.\nAnswer: -168.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1463478?\nAnswer: 2, 3, 149, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.98 * 1.44.\nAnswer: 2.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t = -4*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (2244\/451 + 0 + -5)*(-25)\/(200\/48)\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1770 divided by 6.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -5*h**2 - 19. Let m(n) = 4*n**2 + 18. Determine -4*m(i) - 3*w(i).\nAnswer: -i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 505911 and 29126019?\nAnswer: 203882133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*m = -26*m + 5. Suppose -2*l = 2, -2*k = -3*k - m*l + 59. What is the least common multiple of k and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 - 7*i**2 - 6*i + 3. Let c be n(-6). Suppose -c*m = 3*m - 282. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 110 + -93. Solve 5*h - 2*o - d = 0, 5*o - 3*o - 3 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + m - 5*n - 3 = 0, 3*m + 4*n = 28. Suppose l - 1 = m. Let c be ((-252)\/(-8))\/l*(-16)\/(-14). Solve -24 = -4*p - 4*r, 5*p + r = c*r + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*a + 65*a + 506 = -74*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49 + -82. Let u = 3.9496609 + -36.9496666. Let a = d - u. What is a rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 15*h**3 + 12*h**2 + 12*h - 1. Let f(q) = 13*q**3 + 10*q**2 + 10*q. Let j = -583 - -576. Let x(s) = j*f(s) + 6*g(s). Determine x(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (80\/3800)\/((-46)\/(-230)*2\/4)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ygiz when four letters picked without replacement from gzrgyii.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 12:24 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 3*w**2 + 6*w - 5. Let g be s(4). Suppose -4*m = -16, -v + g*m - 27 = -6*v. Suppose v*k = -3*l + 1089, 3*k + 5*l - 6*l = 1097. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 - 10) + -2 + -3 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 3 + 3)*(2*d**4 + d**4 - 2*d**4) + (12*d**5 + 30*d**5 - 10*d**5)*(5 - 1 + 2).\nAnswer: 193*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -170 + 5. Suppose -q = -9*u - 6. Solve -4 = -u*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 408.789 millilitres?\nAnswer: 0.408789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhgjnyxygnyjyy. Give prob of sequence ygxj.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10986 - -263573\/24. What is the common denominator of w and 97\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-12)\/(-40)*-2)\/(-1*1). Which is the fourth smallest value? (a) 0.9 (b) j (c) 0 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2774659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2571239, -5142477, -7713715?\n\"Answer: -2571238*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1.4583 times -0.01?\nAnswer: 0.014583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -17*n**3 + 1 + 15*n**3 + n - 2*n**2 + n. Let w = -5 + 3. Let h be a(w). Put -2\/9, h, -3 in descending order.\nAnswer: h, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-2)*1)\/(-1)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 661.86554 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/6)*j*j**(-3\/4))\/(j*((j*(j\/(j*j**(-2\/41)*j))\/j)\/j)\/j*j**14))**26 assuming j is positive.\nAnswer: j**(-76531\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1250 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/2 - (1 + -19). Let c = -2303 + 2447. What is the highest common divisor of g and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -252*u - 665. Let a(l) = 15*l + 39. Let f(v) = -35*a(v) - 2*o(v). Calculate the remainder when f(-7) is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -380 - -4553\/12. Let a = 68721\/44 - 6265\/4. Find the common denominator of u and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*p + 2 - 9*p + 8 - 3 with respect to p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261591983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2954483 is divided by 3092.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 37799889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 4*y + 24, -36 = 5*u + 3*y - y. Let r = 3 + u. Does 10 divide 174\/9 + (-2)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 43 = 5*y, -y - 2*y = 4*l - 73. Suppose -14*a = -l*a + 345. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -239841 divided by 1\nAnswer: -239841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f + 32. Let s be n(-17). Let c(x) = 2*x**3 - 19*x**2 - 21*x + 1. Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.6 + -0.4. Let s = -0.7 + 1. Let l = s + 0.2. What is the biggest value in -3\/5, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 730 + -337. Suppose 3*l + o = r, 3*l - 419 = -4*o - 35. Suppose g - l = 13. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -15*n**3 - 5*n - 1. Let v(b) = 30*b**3 + 9*b + 1. Calculate -5*m(u) - 3*v(u).\nAnswer: -15*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*b**6 - 11*b**4 + 365*b**2?\nAnswer: 1560*b**3 - 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-6)\/15*(-7)\/14.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6543, 26132, 58763, 104436, 163151, 234908?\n\"Answer: 6521*p**2 + 26*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 947\/9 + -109555\/1044. Calculate the common denominator of h and 59\/2.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -24929301\/2 at least as big as -12464651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -1. Let u be 42*-1*15\/(-10). Let c(w) = -3*w - 21. Let f be (1\/(-2))\/(0 - (-5)\/30). Let z(t) = f*c(t) + u*s(t). Let i(p) = -2*p**2. Give i(z(q)).\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 + x**2 - 3*x**2)*(-2*x**2 - x + x)*(2 - 2 - 8*x).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 241733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -61 + 143. Suppose -2*a + f = 3*r, -2*a = 3*r - 4*a - 98. Let o = -15 + r. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of p**6\/120 - p**5\/15 - 5*p**4\/12 + 4*p**3\/3 + 3*p**2. Let v be g(6). What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of 436*o**2 - 1688*o + 626. Differentiate q(b) wrt b.\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1538 is divided by 206?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from ssrrsssssrsrsr.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -3*n + 12, -5*h = -n - 2*h + 8. Let q be -2 - (-5 + n - -1). Solve 5*m - 2*k = -35, q*m + 3*m + 5 = -2*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 2*g + 4079, 0 = -m + 3*m - 2*g + 1634. Let z = m + 1204. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33 + -21. Suppose -32*a + 37*a - 30 = 2*l, -18 = -3*a - 3*l. Suppose a - d = -3*y. Solve 0 = -y*k + 2*j - 4, 3*k - 5*j + 0*j = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from atttatttjaaajttt. Give prob of sequence ajaa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*x - 5*d - 33, 0 = 13*x + 2*x + 2*d - 50 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 1. Let l = s + 3.92. Let x = -4.92 + l. What is the second biggest value in 4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence riu when three letters picked without replacement from riu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 + 10*j - 6. Let t be l(-11). Solve 2*x + 5*n - 18 = 0, -5*x + 8*x - t = -2*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yys when three letters picked without replacement from {s: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 259*l**2 + 290332*l - 7835. What is p(-1121)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of i**5\/30 - 5*i**4\/24 - 7*i**3\/6 - 2*i**2. Let m be o(9). What is the highest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, 1, 409 in increasing order.\nAnswer: -5, 1, 5, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, o: 2, t: 6, c: 5, a: 3}. What is prob of sequence co?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 212270 is divided by 237.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the first derivative of f**10\/840 + f**6\/90 - 4*f**3\/3 + 2. Let m(s) be the third derivative of x(s). What is the third derivative of m(c) wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -6*j**2 - 5*j. Let u = -20 + 21. Let c(r) = -r**2 - r. Give u*h(n) - 5*c(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:17 PM and 4:17 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 + -1. Let w(z) = z + 2. Let j(u) be the second derivative of u**3\/6 + u**2 + 3*u. Let r(k) = f*w(k) - 3*j(k). What is r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**3 - 9*r**2 - 10*r - 12. Suppose 5*q + 16 = 3*q. Let d be i(q). Suppose b = -0*b + d. Solve -b*t = -13 - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -344.2 - -349.2. What is the closest to 3\/13 in 4, m, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 2 = 4. Let a(q) = q**3 - q**2 - 2*q + 3. Let s be a(i). Let h(z) = 1 + z**s + z + 2*z**2 + z**2 + z**2. Determine h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -191 = 4*l + 673. Calculate the common denominator of -111\/20 and (-6)\/(-10) + l\/(-640).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-20)*5\/(-60)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 155 + -154.31. Round a to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59018?\nAnswer: 2, 23, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 7\/8 of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the third derivative of -r**6\/120 + 11*r**5\/60 + 11*r**4\/24 - 7*r**3\/6 - 61*r**2. Give v(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9343*o - 149*o + 2665*o + 14779*o + 5184*o.\nAnswer: 31822*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 + 2. Let w = 0.9 + g. Suppose -5*u - 27 = -3*n, 5*n - 11 = -816*u + 813*u. Which is the third biggest value? (a) n (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5330*-0.4\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3\/22681 - -2154629\/498982. Find the common denominator of o and -17\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108080 rounded to the nearest one thousand?\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*j**2 + 134*j**3 - 5*j**2 - 209.\nAnswer: 134*j**3 - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9)\/(-27) - 5\/(-3). Suppose i + 2 = 2*l. What is the smallest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*u**4 - 215*u**3 + 339*u**2 - 109*u + 10 = 0. What is u?\nAnswer: -10, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*t - 2*l - 62 = 0, 3*l = 5*t + 7720 - 7710 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8569, 8568, 8567, 8566, 8565, 8564?\nAnswer: 8563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 AM and 11:42 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4 - ((-390)\/(-42) + (-4)\/14). Let k be (-2 + a)\/((-4)\/172). Let g = k + -175. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 606*w - 60875*w**3 - 606*w + 60870*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5074 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -46*y - 73*y - 1 + 15*y - y as u*y + i and give u.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tgup when four letters picked without replacement from {g: 3, m: 2, j: 1, p: 2, t: 3, u: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 134850 divided by -155?\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 9\/13, 2, 0 in decreasing order.\nAnswer: 2, 9\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 148145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 2*n - 2, 9 + 6 = -n + 5*i. Suppose n*c - 17 = 3. Calculate the common denominator of c\/6 - (-277)\/(-24) and 117\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 138 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/45)\/(88\/440).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -23099334?\nAnswer: 1\/7699778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (507*p + 66*p + 922*p)*(-p**2 - p + p)*(-3*p - 4*p + 5*p) + 3*p**4 + 2*p**4 - 3*p**4.\nAnswer: 2992*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 2*d = 24, 23 = 5*r - 0*d - d. What is the common denominator of r\/3*12\/(-8) and 0 - -1 - 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 38380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11 + 40\/8 + -3. Solve 0 = 11*x - 35 + n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2846 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1776 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 11, z: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/3)*p)**(-1\/16)*(p**5\/p)**(2\/25))**8 assuming p is positive.\nAnswer: p**(359\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - (-6 - 4)) + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**4\/7 - 8*w**3\/7 + 10*w**2\/7 - 4*w\/7.\nAnswer: 2*w*(w - 2)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Total of -5042.985 and 1.558.\nAnswer: -5041.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = r + n + 1, -n - 12 = -3*r. Suppose r*i - i = -9. Let x be (-24)\/(-9) - (-2)\/i. Solve 0 = -3*v + t - 13 + x, -5*v + 3*t = 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.27 + 6.43. Let m = -8 + 0. Let c = m + i. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 13*d**3 - 11*d**2 + 37*d. Let n(s) = -7*s**3 + 6*s**2 - 19*s. What is 6*g(i) + 11*n(i)?\nAnswer: i**3 + 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the third derivative of -7*b**6\/480 + 5*b**5\/96 - 13*b**4\/192 + b**3\/24 + 2*b**2. Factor a(x).\nAnswer: -(x - 1)*(2*x - 1)*(7*x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 93 - 72. Let s be 2\/(-2 - -1) + 4. Suppose f + h = s*f. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -208947 and -5725.\nAnswer: 1196221575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-2)*1)\/((-3)\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*i**4 - 5*i**4 + 2 - 12*i - 4 - 2*i**4 to the form m + y*i + h*i**4 + t*i**2 + s*i**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 196368 and 2?\nAnswer: 196368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/7 - (-327)\/(-7). Let x = -39 - j. What is x rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21 in -4\/5, 2\/7, -1\/4, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h**(-6\/5)*h))\/h**(2\/13))\/(h**(-6)*h**(-6)\/h) assuming h is positive.\nAnswer: h**(913\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 26838174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, w: 10, e: 9}. Give prob of sequence eeww.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2433417929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 - -1. What is the third derivative of -x**2 + 31*x**6 + 2*x**5 + 6*x**2 + 31*x**h - 61*x**6 wrt x?\nAnswer: 120*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x + 6. Let c(i) be the third derivative of -i**5\/60 - i**4\/8 + 31*i**3\/3 + i**2. What is the smallest common multiple of c(-8) and a(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**2 - 4*f**2 + 2*f**2)*(-2*f + 1 - 1)*(3 - 3 + 6*f).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -201 (base 3) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (30\/(-20))\/(6\/(-16)). Let l(x) = -3*x**2 + u*x**2 - 5 + 0*x**2. Calculate l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1085879541 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 50965846 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2*x. Let t be z(7). Suppose k = -k, 5*d - 25 = 5*k. Solve 6 = -d*b - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 213 - 0.048387.\nAnswer: 212.951613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.03 in -11, 140, 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -919, -913, -903, -889, -871, -849, -823?\n\"Answer: 2*a**2 - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 + -32 + 13)\/(0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*x**3 - 43865*x + 43865*x - 41*x**3.\nAnswer: -87*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1633.8 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = l. Let y = l + -8. Let t be (-38)\/(-57)*(-3)\/y. Is t > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2297 + -1722. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 72815, 146044, 219273, 292502, 365731?\n\"Answer: 73229*r - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/1724 and 7\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of -y**7\/840 + y**6\/60 - y**5\/60 + y**4\/24 - y**3\/6 + y**2. Let x(c) be the first derivative of k(c). Is x(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xgpc when four letters picked without replacement from xpcgs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/340)\/((-8)\/10*(-4)\/(-8))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 3*a**2 - 21*a + 30 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-100))\/(4\/(-30)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66202643?\nAnswer: 13, 1583, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - ((5 - 4) + -2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 19*q**2. Let g(n) be the third derivative of n**4\/12 - 37*n**2 + 5. Determine y(g(o)).\nAnswer: 76*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1799795641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 25502.\nAnswer: -5\/25502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 6 - 8*p + (2 + 1 - 1)*(0*p - 4*p + 2*p))*((1 - 4 + 1)*(0 - 1 - 2) + 3 + 0 - 1 + 5 - 2 - 1) as f*p + k and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 32075531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34 and 13829908.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 4) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 + 20*z**2 + 23*z - 35. Let r be g(21). Which is the third smallest value? (a) -0.4 (b) 12 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = 4*a + 6, -3*a - 12 = -75*v + 72*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 58049280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -26, -33, -40, -47, -54, -61?\n\"Answer: -7*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -6+-4244134.5\nAnswer: -4244140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6095 or -12189\/2?\nAnswer: -6095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 3*x = -2*x - i + 14*i + 230, 0 = -3*i - 20 - 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ti when two letters picked without replacement from {j: 2, i: 2, t: 10}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-9)\/(-6) - (2255\/(-10) + -2). Let o = c - 213. What is the least common multiple of 18 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5736820 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (-20 - 0) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 186\/14 - (-22)\/(-77). Let i(j) = 16*j + 7 - 9 + w - j. Let b(x) = 4*x + 3. What is 22*b(g) - 6*i(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2143748.\nAnswer: 2, 535937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of -461*j**2\/2 + 2260*j - 382. Differentiate o(s) with respect to s.\nAnswer: -461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1ac8aa (base 13) to base 2.\nAnswer: -10100111001011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 - -3313330.\nAnswer: 3313306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*l + 159 = -765. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -46 (base 13) to base 10\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 805 (base 11) to base 10\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 98*b**2 - 2*b - 29*b**3 - 43*b**2 + 20*b**3 - 2*b**4 - 45*b**2 - 36*b**2 in the form g + z*b + q*b**2 + p*b**3 + y*b**4 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.4429 + 2.6329. What is the third biggest value in 4\/5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -1681*z - 18497. Calculate t(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**3\/15 - 4*o**2\/5 - 6*o\/5 - 8\/15 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i. Let m(y) = -y**2 - 13*y - 11. Let g(u) = m(u) - 2*w(u). Let q be g(-7). Suppose q*r + 64 = 200. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - -125)\/((-33)\/(-33)). Let y = k - 121. Solve -y*u = 4*v - 9*u, 3*u - 17 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -29*g**2 + 18*g**2 - 186*g + 186*g. Let c(o) = -2*o. Give c(f(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/3 + 4\/3*v**4 + 5\/3*v**3 - 5\/3*v - v**2.\nAnswer: (v - 1)*(v + 1)**2*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 1, 2, 10173?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 3*y + 2. Let h(u) be the first derivative of -2*u**2 - 3*u + 66. Calculate -6*d(k) - 5*h(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h - 46 + 46)*(-h**2 + h**2 + 2*h**4) + (2*h + 3*h - 10*h)*(2*h**4 - h**4 - 2*h**4) + 0*h**5 + 2*h**5 + 0*h**5 - 6*h**5 + 9*h**5 + h**5.\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5479549.\nAnswer: 5479549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = 31*u - 34*u + 2*c, 2*u = c + 66. Calculate the remainder when 3164 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from jjjeejejeijjsejjyeje.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22)\/(-13) - ((1350\/9)\/(-15) - -12).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -342833278*t**3*u**3 - 2*u**3 - 14*u**2 - 1300676*u + 3 wrt t.\nAnswer: -1028499834*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -3*k - 12. What is g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 19\/9 (b) 129\/7 (c) 300 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*l**2 - 33 + 33 + 9*l + l**2 + 0*l**2 + l**2 + 3*l**2 + 4*l**2 - 5*l**2 + (-2*l + 2*l - l)*(-l - l + 0*l) - 2*l**2 + 6*l**2 - 2*l**2.\nAnswer: 2*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zmhn when four letters picked without replacement from {m: 1, z: 1, h: 1, n: 1, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {j: 10, l: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11690825*l**5 + 1146209*l**2 wrt l.\nAnswer: 701449500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13474488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 - -16 - 3 - (9 + (6 - 8) + -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**2 + 18*g - 6. What is the units digit of j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = 14*p + 48. Calculate the least common multiple of (-102)\/(-68) - (-586)\/4 - p and 110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 163 divide 307939145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 394, 776, 1172, 1588, 2030, 2504?\n\"Answer: s**3 + s**2 + 372*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 - 21*z**2 + 24*z - 48. What are the prime factors of o(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 206, 403, 602, 803, 1006, 1211?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6 + -76)*2\/4. Let x(l) be the second derivative of 3*l**4\/4 - 2*l**2 + 88*l. Let c(n) = -80*n**2 + 35. What is j*x(k) - 4*c(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2053309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 5705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6\/5, 0, -2\/19, 4\/3, 4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -23*o + 1. Let w(d) = -47*d + 2. Let g(f) = -7*i(f) + 3*w(f). Let l = -91\/19 - 947\/76. What is the common denominator of l and g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*w**3 + 7*w**3 - 2*w**3 + (0*w**3 + 2*w**3 - 3*w**3)*(0 - 4 + 3) - 9 + 7*w**3 + 9.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11693*k**2 - 5928*k**2 - 5900*k**2.\nAnswer: -135*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 276566027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78661416 is divided by 14186.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -4*b - 6. Let x = 19 + b. Solve -x*c - 4 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -14, -106, -260, -476?\n\"Answer: -31*q**2 + q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -244300000 to the nearest 1000000.\nAnswer: -244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 7:58 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -59 + 63. Let x(n) = n**3 - 3*n**2 + 7*n - 8. Let z be x(w). Let b be ((-24)\/7)\/(215\/(-35) - -6). Calculate the greatest common factor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -76792.1 times -2\nAnswer: 153584.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppjy when four letters picked without replacement from ppypljpjppwplpuplu?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, w: 3, o: 7, s: 1}. Give prob of sequence swys.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:39 PM and 10:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 51207 - 194929 = -4*f, -71871 = -2*f - v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*i + 9*i**2 - 19*i**2 - 40*i + 16*i**2 - 3.\nAnswer: 6*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d**3 + 2*d**2 - 18*d + 24. Let t be s(7). Calculate the highest common factor of 186 and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10000101111 (base 2) in base 13?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 + -597994c?\nAnswer: -5979946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + (-490)\/(-120))\/(2\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 5*h - 20 = 0, 1 = -4*u + 5*h + 18. Let f(x) = 0*x - u*x + 4*x + 5 + x. List the prime factors of f(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*g + 2*u, 5*g = 5*u - u + 6. Let z = 1501\/10 + -150. Let v = 1.18 - 0.78. Which is the closest to g? (a) 2 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1806, 1793, 1778, 1761, 1742, 1721?\n\"Answer: -q**2 - 10*q + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 54 and 675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*z + 360 = -27*z + 45*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05 take away 108?\nAnswer: -107.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -27 (base 9) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 666795 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 - 2*j + 13. Let l be w(8). Let a = -34 + l. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -11010 (base 2) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1314335 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4119 + -985. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z + z + 2*z + (2 + 5 - 5)*(-1 + 1 - 2*z) + 607*z + 272*z + 641*z.\nAnswer: 1517*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -168, -196, -226, -258?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -76475417*l**3 + 2*l - 303997101 wrt l.\nAnswer: -229426251*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10, 1\/8, -2837\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2 - (113 - 5))*(-2)\/(-28) and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in 2, 4, 10\/11, -5?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -5*c**2 + c**2 + 13*c**2 + 28*c + c**2 - 4*c**2. Let w(i) = -6*i. Calculate q(w(j)).\nAnswer: 216*j**2 - 168*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2341267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 95 + -68. Which is smaller: u or 28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/12)\/(15\/60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-26) + (-10665)\/(-1755). Let l(a) be the first derivative of -10 - 7\/2*a**2 + i*a. Find the first derivative of l(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 + -9. Suppose 10 = -0*q + 5*q. Let d(z) = -r - q*z**2 + 7. Let u(h) = 5*h. What is u(d(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 13*a + 9. Let q be l(9). Let v(r) = -r**3 + 10*r**2 + 14. Let o be v(10). Calculate the highest common divisor of q and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from {z: 11, n: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -121, 1, 2540 in descending order.\nAnswer: 2540, 1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*f + 5. Suppose -8 + 2 = -2*c. Differentiate 3 + 0*q**2 + 0*q**f + 0*q**c + 4*q**3 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 8*q - 4. Let h be v(0). Let s = 15 - h. Suppose -4773 = -s*p + 2656. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2655179 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 24 = -h - 4*v, 0 = -4*h + 2*v + 18. Suppose 0 = 3*i - 3*j - 1116, -h*j - 898 = -3*i + 218. Suppose -i - 168 = -4*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -1*(2 + -1*sqrt(5)) + (-4*sqrt(20)*5)**2.\nAnswer: sqrt(5) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -945*k + 19575 + 512 + 703 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -44 * -0.1\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -316673 = -7*a + 768950. Suppose 96911 + a = 6*r. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/42 - (-9776)\/(-987).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/54660 and -109\/12.\nAnswer: 54660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/v**(-8)*v*v*(v**(-4\/11)*v)\/v*v)**36 assuming v is positive.\nAnswer: v**(5004\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 - -9. Let h(m) = -v*m**2 + 4*m**2 - 2*m**2. Let y(n) = 16*n - 15*n + 4 - 4. What is y(h(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6.4651027 - 6.4623. Round m to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = 15, n + 12 = 3*k - 3*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -840032*f. Let z(a) = -4*a. Determine p(z(t)).\nAnswer: 3360128*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/8, 2, -1\/3, -22.4, -2 in decreasing order.\nAnswer: 2, 1\/8, -1\/3, -2, -22.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3*m + 7, -4*a - 5*m = -a + 7. Is 6 a factor of (12\/(-5))\/(a\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -7*f**2 + 2*f + 1. Let w(b) = 8*b**2 - 3*b - 1. Suppose 559*v - 563*v = 20. Give v*q(d) - 4*w(d).\nAnswer: 3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6922, 5393, 1238, -6857, -20206, -40123?\nAnswer: -67922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5232450 to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**2\/4 + 2215*n\/2 - 981245\/4.\nAnswer: -5*(n - 443)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 36 + -10. Let v = -29 + l. Let w = -55\/87 + -1\/29. Sort v, 0, w in ascending order.\nAnswer: v, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -104*y - 91*y - 2340 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 5*i**4 + 145*i**3 + 985*i**2 - 145*i - 990 = 0. What is i?\nAnswer: -18, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1487 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: Is 409689854 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 + b - 1. Suppose 45 - 10 = 7*u. Suppose 5*m + 1 - 11 = 0, -14 = 2*p - u*m. Let t(r) = 2*r**3 + 4*r**2 - r + 2. Give p*s(d) - t(d).\nAnswer: -2*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from xaacdzaxadccaay?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2930 and 160?\nAnswer: 46880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.36 and 0.0427048?\nAnswer: -0.015373728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 78*u + 19992 - 20928 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -124, -214, -272, -292, -268?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 + 2 - 7)*-1. Suppose -q*i = 4*w + 3 - 13, -32 = -2*i + 4*w. Find the common denominator of -111\/28 and i\/(-9) + 137\/30.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 - 346*t + 29565. Calculate h(154).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 4*c - 3. Let v be t(2). Let g(b) be the third derivative of -b**4\/24 + 4*b**2. Determine g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -513*k**2 - 1595*k - 507*k**2 - 513*k**2 + 1538*k**2 = 0 for k.\nAnswer: 0, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 106565200 and 1372.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand h**3 - 5 - h**3 + 2*h**4 - h**4 - 1 + 1 + (-1 + 2*h**2 + 1)*(0*h + 0*h + 2*h**2) - 3 - h**4 + 3.\nAnswer: 4*h**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.13, 0, -4, -2, 0.55, 26 in ascending order.\nAnswer: -4, -2, 0, 0.55, 1.13, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 1595*h**2 + 35385*h + 39690 = 0. What is h?\nAnswer: -21, -378\/319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/468 and 47\/1521.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9925 divided by 1985.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 21 = 5*z, 2*z + 1677 = 3*u + 1681 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, -4, 0, -38 in increasing order.\nAnswer: -38, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * 1766\nAnswer: 353.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1161 - -1173. Solve -37*k = -d*k - 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -156468.05 to the nearest 1000.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -j**2*p*u + 10*j**2*p - 40*j*p + 3*p + 634*u wrt j?\nAnswer: -2*j*p*u + 20*j*p - 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 4*k - 1. Let r be m(-1). Let x(p) = -p**2 - 7*p - 3. Let o(z) = -3*z - 1. Let b = -8511 + 8513. What is b*x(t) + r*o(t)?\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (x + 0 + 0)*(-8 - 7 + 3).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3542044 (base 6) to base 5\nAnswer: 21400432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 870*v - 890*v + 180 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 9 = -r. Let b(j) = -5*j + 20. Let m be b(4). Sort -2, r, -5, m in increasing order.\nAnswer: -5, -2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 2*g = -36, 27 = 3*v - 2*g - g. Suppose 0 = 4*c - 20, -4*c = -2*r - 5*c + v. Suppose -6 = -r*x - 4. Let y(q) = -3*q + 1. What is y(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1.6 (b) -2\/5 (c) -1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 12. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 9:02 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-39 + 780 + 419)*(-p + 5*p - 2*p) as b + x*p and give x.\nAnswer: 2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13, -26, -49, -82, -125?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 40 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*q + 414*q - 6405 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -22 - -56428024?\nAnswer: 56428002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -3836*p**2 + 2*p + 2. Let c(b) = 2*b. Calculate c(l(a)).\nAnswer: -7672*a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*l**2 + 3*l**2 - l**2 + (2*l - l - 2*l)*(1 - 1 + l) + (13*l + 12*l - 5*l)*(1 - 1 - 2*l) to d*l + v + b*l**2 and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h*h**5*h)\/h)**(-27) assuming h is positive.\nAnswer: h**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2 + 107*x + 417. Determine m(31).\nAnswer: 2773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 225, 466, 707, 948?\n\"Answer: 241*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddjdddddddddddddddd.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1356 divided by 339?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + 3\/(-3) + 11. Suppose -4*q = -2*g + 36, x*g - 4*g + 4*q = 132. Factor -5 - g*w**2 - 3*w**2 - 20*w - 10*w + 2*w**2.\nAnswer: -5*(w + 1)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.1 - -2.5. Let g = 70 - 211\/3. Let t be (-15)\/28 - 2\/(-8). Which is the closest to t? (a) k (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -8. Suppose h = x - 2. Solve -2 = x*m - 0*a - 2*a, -5*a + 15 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = 16*i - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.04 - -0.109. Let o = 1.329 - q. Let t = o - 1.18000092. Round t to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 - -1. Let q be 12 - b\/(-3)*-2. Calculate the remainder when (-2)\/(-4) + q\/4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 24144444301 + -1?\nAnswer: 24144444300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 5*k = 21, -2*k = x - 6*x + 22. Suppose -x*q - 10 = q. Let c be ((4\/(-10))\/2)\/(739\/(-11085)). Sort q, c, -3.\nAnswer: -3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -153 = -13*q + 4*q. Let l be ((68\/(-24))\/q)\/((-1)\/3). Let h(j) = 3*j**2 + 1. Let n be h(1). Which is the second smallest value? (a) n (b) 2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2708873668 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 590485.85 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 less than -54841.237993?\nAnswer: -54841.437993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 23866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -15*h - 18. Let t = -91 + 23. Let q = 119 + t. What is the remainder when q is divided by b(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 174\/8 - (-105)\/(-140). Suppose 10*z - r = 19. Solve -2*h - 23 = 3*h - z*t, 3*t = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c + 9. Let l = -43 - -47. Let i be (-2 + l)\/(3\/75). Suppose 3*t + 32 = -4*y, -5*t = -0*t + 5*y + i. What is h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1174.3 + -19.7. Let q = -1194.2494 - r. Round q to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 + -3. Suppose -4*i + r*i = -3*q - 25, 3*i - q = 15. Find the common denominator of (-6)\/i*64\/18 and -123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**3 + 32*v**2 + 3*v + 9. Let g(d) = -d**3 + d + 10. Give f(u) - 3*g(u).\nAnswer: u**3 + 32*u**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1260671 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4262 or 4261?\nAnswer: 4262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.52 - 0.02. Let b = -6 + d. Sort -3, b, 1 in decreasing order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - 8, 2*s - 7*s = b + 103. Let t = 13159 - 13160. Sort t, -2, s, -3.\nAnswer: s, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 + 16. Solve t*i + 4 = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1371263 to the nearest one thousand.\nAnswer: 1371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -79 divided by 140\nAnswer: -79\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l**(-2\/19)*l))**(-20\/11)*(l**(-1\/23))**(-17) assuming l is positive.\nAnswer: l**(2633\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 444 divide 35596812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -2098 (base 16) to base 3.\nAnswer: -102110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2 + ((-28)\/(-80))\/(2\/16)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4, 14, 15466, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4*(-12)\/8)\/((-6)\/(-4)). Suppose i - 6781 = -l*i + d, 2*d + 2706 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 3169*u**2 + 4*u + 3. Let i be o(-1). Let b = 7337 - i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -21*y - 6. Let i be w(-5). Calculate the highest common divisor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 - 2*c**2 + 2*c + 3. Let a be i(-2). Let h be ((-10)\/(3 - 1))\/a. Suppose 28 = s - h. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 9:47 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and (-2)\/9 + (-1736)\/(-36) + -7.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -116258*q**2 + 23236*q**2 + 23209*q**2 + 23188*q**2 + 23220*q**2 + 23268*q**2.\nAnswer: -137*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16424 - -16475. Are 367\/7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123305.3 centuries in millennia?\nAnswer: 12330.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.05, 1, -7, -1\/24?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 395351508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8454104.\nAnswer: 2, 101, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*sqrt(133) + sqrt(133) + (sqrt(133) - 1*(sqrt(133) - (sqrt(133)*2 - sqrt(133)) - sqrt(133))))\/(sqrt(35)\/(sqrt(90)\/sqrt(2))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 865858.\nAnswer: 2, 7, 23, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*(x**9\/x)\/x*x)**0\/(x\/(x\/x**7))**(19\/3))**(2\/13) assuming x is positive.\nAnswer: x**(-266\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by 432066\nAnswer: 8\/216033","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: 10 or -7\/6154?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -372*(-10)\/15 - 2\/(4 + -5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14302338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -245\/3 (c) -1\/8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-x**2 - 2*x**2 + 5*x**2)*(4 - 2 - 1 + (-4 + 1 + 1)*(-3 - 1 + 2) - 43 - 14 + 6 - 3 + 4 - 3) in the form k + p*x + w*x**2 and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*o - 7*o - 516*o**3 - 382*o**3.\nAnswer: -898*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w + 4. Suppose t = -5*b - 2, 11 - 1 = -5*t + 5*b. Let z be (t - 1)*(-2)\/(-3). Let g be z - (-1)\/(-2 + 1). What is i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/((70\/(-7))\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 545855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes before 11:33 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 4*b - 14, 3*b - 2 = -3*o - b. Solve 3*q + 3*q = o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-13)\/(-36) - 2\/8. Let q = 0.7 + 2.3. What is the closest to -1 in 0.4, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 61 + (-24 - 17) - -18.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 9898 by -1.\nAnswer: -9898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 233 (base 7) in base 5?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 4*f**2 + 7*f - 63. Let z(c) = -2*c**2 - 3*c + 27. Let u(r) = 3*o(r) + 7*z(r). Let q(i) be the first derivative of 85*i**2\/2 - 2*i - 5. Give q(u(s)).\nAnswer: -170*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2*i**2. Let a(x) be the second derivative of -x**4\/12 - 7*x. What is a(h(f))?\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 135032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 464 and 37056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.855, -14, 0, 219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -3*d**3 + 30*d**2 - 19*d - 5. What is t(9)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 2*p = 16, h - 772 = 5*p. Let a = h - 411. What is the highest common divisor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + y = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/11760*-24*14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let v = -121.9 + 122. Which is bigger: v or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -2*w**2 - 3*w - 1. Let f be r(-2). Let l be (2 - 16\/6)*f. Suppose 8 = l*g + 4. Calculate the greatest common divisor of g and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**12*a)**(-1\/15)*((a*a**(2\/37)*a)\/a)\/((a\/(a\/a**(2\/11)))\/a) assuming a is positive.\nAnswer: a**(6139\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -10000012200001?\nAnswer: 10000012200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.06, -0.3, 4, 0.3, 9 in decreasing order.\nAnswer: 9, 4, 0.3, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -87\/12527 or 0?\nAnswer: -87\/12527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 58599 and 3213.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 - 4*f + 3. Let n be q(-4). Solve n*h + 1 = -11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in z**4\/8 + 1637*z**3\/8 - 19759*z**2\/8 + 47863*z\/8 + 34629\/4 = 0?\nAnswer: -1649, -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 6*k**2 + 50*k - 11. Let x(p) = p**2 + 10*p - 2. Let n(j) = 2*r(j) - 11*x(j). Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 AM and 7:43 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/7*(554\/(-277))\/(2\/1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 788, 1554, 2314, 3062, 3792, 4498, 5174?\n\"Answer: -c**3 + 3*c**2 + 764*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 119720563?\nAnswer: 119720563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(2*3\/258). Let h be j\/(-3) + 6\/9. Suppose -2*c + 95 - h = 0. Solve 2*u = 4*b + 6*u + c, 3*u = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 212 + -210. Solve b + s*c - 6 = 3, 4 = b + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1613*x**3 + 11328 - 91*x**3 - 22654 + 11326.\nAnswer: 1522*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m - 10. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/12*(-48)\/8. What is the nearest to -1.35 in 2\/7, b, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -67 - (0 + (26 - 1) + -21).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fqaa when four letters picked without replacement from {a: 6, q: 4, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -7496*l - 3*a + 22 = -7503*l, -4*a = -6*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (-9 + 9 - (-4 - -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -15*j - 16. Let w be l(-10). Let r = -110 + w. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*x**2 + 5*x - 4*x**2 + 2*x**2 + x**4 + x - 2*x**3 to h*x**3 + s*x**4 + n*x**2 + c + v*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is ((-54)\/108)\/(((-1)\/(-434))\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 188*u + 128. Is 36 a factor of b(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 764\/103251 or 1?\nAnswer: 764\/103251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 253252 - -4303?\nAnswer: 301555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k**2 + 1\/2*k**3 + 6*k + 4 = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11 - -10) + -25 - (2 - 4 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -755.415 * 0.03\nAnswer: -22.66245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 5*y + 8, 2*q + 7 = 3*y + 16. What is the remainder when 29 is divided by q\/(-12) + (-33)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -3*y**2 - 39*y - 23. What is c(-6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 346556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 116658*l**2 + 115193*l**2 - 240181*l**2 to z*l + g*l**2 + s and give g.\nAnswer: -8330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (39\/10)\/((-73)\/(-168630)*99)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4*s**3 + 68*s - 7*s**2 - 144.\nAnswer: -(s - 4)**2*(s + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-12) - 3 - 4\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0035381 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {t: 1, d: 1, q: 1, r: 1, g: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of r**5 + 8*r**5 + 68*r**6 - 145*r**6 + 70*r**6 + 185*r**2 wrt r.\nAnswer: -840*r**3 + 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 19 = p, 49 = -6*p + 295*m - 294*m for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*v + 0*v - 4*v)*(v + 4*v + 0*v)*(v + 5*v - 4*v) in the form l + z*v**2 + n*v**3 + a*v and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -417.2308716 minus 0.043705?\nAnswer: -417.2745766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -13, 49, 2 in descending order.\nAnswer: 49, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - -7. Suppose 4*i - p - 30 = 0, 2*i = -i + 5*p + 31. Let k = i + -5. Calculate the highest common factor of s and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 156*w**3 + 14*w + 4. Let q(k) = 156*k**3 + 12*k + 3. Calculate 6*m(o) - 7*q(o).\nAnswer: -156*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 4:58 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 4. Let g = 4 - j. Let n be (g\/(-10))\/((-6)\/5). What is the nearest to -1 in 3\/7, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -54, -2\/3, 0.2, 166801 in decreasing order.\nAnswer: 166801, 0.2, -2\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3256 - 3252. Suppose 100 = 8*n - 3*n - c, 5*n + 3*c = 100. Solve 0 = u*r + n - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (-5 + 2)) + (-13 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23 - 14. Let m(t) = -r*t**2 + 16 - 16. Let d(a) = a**2. Let q(v) = 6*d(v) + m(v). Factor q(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 549 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8228752 + 10?\nAnswer: 8228762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from dtsttsddtdddstssssd.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 5a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 3*c**2 - 10*c + 110. Give v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -2, -370, -3\/7, -1\/3, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -431*g - 13. Determine u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(408) - (sqrt(408) + -2*sqrt(408)*-2 + sqrt(408)) - sqrt(408))\/((sqrt(108)*2 - sqrt(108)) + sqrt(108) - sqrt(108)))\/(3*-4*sqrt(4)\/sqrt(2)*1)*-3.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-224)\/84*(725\/(-50) - -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1628485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (((-220)\/650)\/11)\/((-1)\/5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 21*z**2 - z + 2. Calculate k(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 210120?\nAnswer: 2, 3, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4675669?\nAnswer: 4675669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 228 + -226. Let i(q) = -5*q + 60*q**2 + 50*q**2 - 111*q**d + 7. Let o = -9 + 4. Determine i(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 787 - 787.5. Let i be ((-4)\/6)\/((-2)\/18). Sort i, x, -1.\nAnswer: -1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(3 + 2*3*(sqrt(700) + 0 + sqrt(700))*-5).\nAnswer: -600*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4*sqrt(70)*2 + (sqrt(70) - 4*sqrt(70)*-2))\/(((sqrt(250)*1 + sqrt(250) - sqrt(250)) + sqrt(250))*-4 - (1*sqrt(250) + sqrt(250))*4).\nAnswer: -17*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/26098 + 2087819\/548058. Calculate the common denominator of d and 19\/77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35171.\nAnswer: 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -204 = -5*v - 89. Solve -4*i = -5*a + v, -3*i + 5*a - 11 - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -16, -13, -2, 17, 44?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-444)\/(-1554) - (225\/(-168) + 2)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -329233, -329232, -329231, -329230, -329229?\n\"Answer: v - 329234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o + 30*o**3 - 24*o**3 + 3*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 46508 and 300120352?\nAnswer: 3301323872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 3*v**4 + 24 - 3*v**2 - 21 - v**3 - 11 as i*v + p*v**3 + d + a*v**2 + h*v**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13 - (-12 + (-13 - (6 - 19)) - -13)) + -124.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 280\/98*3332\/(-272)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 49693*o - 170 = 49688*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-760)\/(-1196) + (7*144\/560)\/((-156)\/40)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((522\/90)\/(-29))\/((-117)\/(-18)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(54)\/(sqrt(243)*-3 + sqrt(3)))\/((sqrt(54)*1)\/sqrt(6) - (sqrt(9) - (sqrt(225) + (sqrt(225) - sqrt(225)*-2) - sqrt(225)))).\nAnswer: -sqrt(2)\/390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9.5 + 9.552. Let k = f + -0.162. Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (8*85\/1088)\/((-3)\/12)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (((sqrt(245) + -2 - sqrt(245)) + sqrt(245))*1*-2)**2.\nAnswer: -112*sqrt(5) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 66 = -2*v - 94, -5*q - 160 = 4*v. Let p be 1\/(-3) - 166\/(-3). Let b = p + q. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3492 - -2.\nAnswer: 3494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 2:00 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the first derivative of 2*l**3\/3 + 9*l**2\/2 - 3*l - 89. Let k(a) = a**2 + 5*a - 2. Calculate 5*k(c) - 3*r(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes before 6:01 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 150 and 2874?\nAnswer: 71850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6644429368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7 + -1095c?\nAnswer: -10955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 15*o = 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2773368 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkzkzzkwkzkkzz. What is prob of picking 1 k and 2 z?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z - 12 + 14. Suppose 4*w - k = -22755, z*k = -0*k - 10. What is w rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - (16 - 15)) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*z**2 - 931*z**2 - 491*z**2 - 171*z**2.\nAnswer: -1518*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*b - 6610 + 6690 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -590, -633, -698, -797, -942, -1145?\n\"Answer: -2*g**3 + g**2 - 32*g - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -3*u. Let p(z) be the first derivative of -7*z**2\/2 + 2. What is s(p(d))?\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 9:51 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4002916 divided by -218?\nAnswer: -18362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -3460631 by 9973.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/5544 and -29\/55656.\nAnswer: 4285512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -445, -643, -1163, -2167, -3817, -6275?\n\"Answer: -27*p**3 + p**2 - 12*p - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -967.0323 rounded to the nearest 10?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 92*z**2 + 110*z + 1094. What is u(-93)?\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - m - 1. Let s(k) = 6*k**3 + 2*k**2 + 3*k + 5. Determine -5*l(f) - s(f).\nAnswer: -f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-1) + 15\/3. Suppose 7*s = f*s + 140. What is the units digit of ((-2)\/(-4))\/(2\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 45, 5, -20, 4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p**3 - 77*p**2 - 404*p + 54. What is l(-32)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put together -24 and -10062.\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 72 = 5*k, -8*y = -2*k - 9*y + 30. Suppose -k*j + 12*j - 136 = 0. Does j = -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 359538719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (4 - 8) - 13 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -16*i**2 + 18*i - 20. Let r(d) = 15*d**2 - 21*d + 23. Let n(m) = 7*g(m) + 6*r(m). Let a(q) = 9*q. What is n(a(w))?\nAnswer: -1782*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2250 + 4548. Suppose 0 = 352*r - 355*r + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -34*d**5 + 5*d**4 + 540*d**3 + 517*d**2 - 35*d - 2.\nAnswer: -2040*d**2 + 120*d + 3240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 115 - 110. Let u(r) = 4*r + 4. Give u(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2942\/(-9))\/(((-392)\/(-105))\/(-14)). Let p = 3641\/3 - v. What is the common denominator of 28\/27 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 495 and 2337555?\nAnswer: 7012665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4364 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 6*k**2 - 12*k - 9. Determine a(9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 450880*c**3 - 480610*c**2 wrt c.\nAnswer: 2705280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 40 + -76. Let f = -15 - k. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**1)**(-50)\/(d**(-1)*(d**5*d*d)\/d)*((d\/d**(-3))\/d)\/d*d*d*d*d\/d**6*d*(d**1\/d)**(-13) assuming d is positive.\nAnswer: d**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-16)*(-1884)\/(-314)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*q = -19*q - 5*f + 791, -2*q = f - 1582. Calculate the least common multiple of q and 339.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 36 = 9*q. Let l(d) = 3*d. Let a be l(-1). Let h be (a\/((-6)\/(-4)))\/(-1). Solve -q*s = 3*r - 3, 3 = 2*s + r + h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 23970960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x, 1 o, and 1 w when four letters picked without replacement from xexeow.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 - 11*x - 71. Let h be g(16). Let f be (h - 726\/81)\/(1\/6). Which is the smallest value? (a) 5 (b) f (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 15784300 to the nearest ten thousand.\nAnswer: 15780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-u + 0*u - u)*(-3*u + 3*u - 2*u) + (-51*u + 27*u + 2*u)*(2 - 2 - 2*u))*(4*u + 4*u - 6*u) to o*u + d*u**3 + i + z*u**2 and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102 + -10200201020002?\nAnswer: -10200201020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*w + 10, -3*q + 11 = 4*w - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 134 in 0, -4\/9, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Do 64606785 and 64606783 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i - 1. Let q(y) = -y + 2. Let w be q(-2). Suppose 330 - 54 = 23*o. Let c(u) = u**2 - 3*u + 3. Give o*t(m) + w*c(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(308)*3 - sqrt(308))\/sqrt(7) + (sqrt(484)*-2 + sqrt(484))\/sqrt(11))**2 - (-1*sqrt(66)*2)\/(sqrt(150)*-3).\nAnswer: -2*sqrt(11)\/15 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 617943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 1 - 1 + f**2. Let a(o) = -o + 1. Let u(w) = 14*w - 12. Let l be (-1)\/(-2)*(-2 + 0). Let b(h) = l*u(h) - 12*a(h). Calculate c(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 - 7. Suppose -5*g = 3*j - 94, -g + j = i*g - 82. What is the greatest common factor of 68 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a**3 + a**3 + a**3 + a**3 + 5*a - 5*a + (0*a**2 + 0*a**2 - 2*a**2)*(-3 + 3 - 9*a).\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -42, 0.4, -10.89 in decreasing order.\nAnswer: 0.4, -10.89, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1181355047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -2, 5, -676, -15 in ascending order.\nAnswer: -676, -15, -10, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-19 - -15)\/((-2)\/2). Suppose -5*a + 0*m + 1327 = -2*m, a = h*m + 251. What are the prime factors of a?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 138100*f**2. Let w(v) = -9*v. Calculate w(d(b)).\nAnswer: -1242900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 600761799 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31 + 58. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 10*t = 3024. Suppose 5*h = 2*u - t, -126 - 68 = -u - 4*h. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -17*u - 103. Let k be o(-9). Calculate the greatest common divisor of k and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -124 + -1014031013?\nAnswer: -1014031142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/(m\/(m**(-9)*m*m)*m)*m\/m**(-1\/3)*m*m**(-15)*m**1 assuming m is positive.\nAnswer: m**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 - (-2 + 4) - 0. Let y be (-14)\/21 + (-4)\/t. Is 4 + -13*(-1 - y) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**2 + 10*a + 20. Let r be s(-10). Does 6 divide (42\/(-15))\/((-8)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -115*l + 60*l + 0 + 0 in the form j*l + g and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/15)\/y*y*y\/(y*y**(-3\/4))*y)\/(y**(2\/11)*y**6) assuming y is positive.\nAnswer: y**(-3013\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(4\/(48\/(-4))). Suppose -7*c = -3*c + f. Let i(l) = -2*l. Let u be i(c). Solve 2*p = -0*p + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 PM and 12:15 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 AM and 6:33 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is ((-17822)\/5 - -3)\/((-5)\/25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(17) - sqrt(68)\/(sqrt(24)\/sqrt(6)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -8, -3.\nAnswer: -8, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-84)\/77*22\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 26394 divided by 26?\nAnswer: 13197\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31 - -40. Suppose l = 4*p - p. Solve 5*b = 0, p*r - 2*r - 1 = -3*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 6*a + 3 = 8*a, -2 = h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 - 34*m - 23. Let v be (-15)\/(-35) - ((-412)\/(-14) - 0). List the prime factors of p(v).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3165 and 45?\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 114 + 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 + 11*d - 8. Let w be v(-12). Let l = 1401\/430 - 5\/86. Solve -8\/5*r**2 + 2\/5*r**w + l*r - 4\/5*r**3 + 0 = 0 for r.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 9 = 2*x - 15, 2*f + 4*x = -12. Suppose 7 = 5*z - 3. Suppose 0 = -3*m - 5*l + 109, -l = -z*m - m + 97. What is the nearest to 0.1 in f, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0*p + 5*p + 148 = 0, 5*y + 416 = -p. Let i be (-20)\/(-35) - (-34)\/y. Let d = -1 - 0. Is d at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59824*o**3 - 3078*o**3 - 12180*o**3 + 35272*o**3.\nAnswer: 79838*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 193523.9mg?\nAnswer: 0.1935239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1446701 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46884524.\nAnswer: 2, 31, 378101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Is -3\/422 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d. Let m(s) = 15*s. Let t(r) = -r. Suppose w + 2*u = 16, 3*w + 2*w - 58 = u. Let p = w + -3. Let i(n) = p*t(n) + m(n). Calculate i(b(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4768126680 rounded to the nearest 1000000?\nAnswer: 4768000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9358790 and 8?\nAnswer: 37435160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -546 divided by 91.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 34 = 3*s - g, -s = -5*g - 38. Let j(v) = -s*v + 9*v + 10*v. Let d(o) = o. Give 34*d(p) - 6*j(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 <= -3.531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*z**3 + 25*z**3 - 11*z**3.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 134, -0.1, -313, -2\/7, -2 in descending order.\nAnswer: 134, -0.1, -2\/7, -2, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 1864342514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -150610362 + 4?\nAnswer: -150610355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21139 + 21177. Solve 3*o + 5*t - 2*t + 30 = 0, 0 = o - 5*t - a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -4, -1, 18, -2 in increasing order.\nAnswer: -4, -2, -1, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 200 = 5*t - 0*t. Let s be 2\/(-38)*t + 2. What is the third biggest value in 0.2, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -315*x - 11. Suppose 0 = 5*r - r - 20. Let o be m(r). Calculate the common denominator of 69\/2 and (-4)\/(-6)*o\/156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.3915 + 141.3915. What is the second biggest value in 0, z, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of v**8\/560 - v**7\/140 - v**3\/3 - 2*v. Let s(o) be the second derivative of f(o). Factor s(a).\nAnswer: 3*a**3*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 86 - 6 = -2*b, -5*b = 4*g - 66. Suppose -15*c + 334 - g = 0. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 72767641 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 790692945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10222 - -212?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(245)*-3 - sqrt(245)) + -5 + 0 + sqrt(245))*2*-5)**2.\nAnswer: 21000*sqrt(5) + 223000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 3*j - 5*j = 40, 5*h - 4*j - 66 = 0. Is (h - -2) + 2 - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 10 = -y + 2*v, y + 10 = -4*v. Calculate the highest common factor of y and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 585979 is divided by 292904.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1\/1928, -1127, -0.4 in descending order.\nAnswer: -1\/1928, -0.4, -1, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1017461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -8*y - 5. Calculate the remainder when p(-5) is divided by (3\/(-1))\/((-6)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - 66*u**2 + 162*u + 228. What is i(64)?\nAnswer: 2404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1718871, 3437741, 5156611?\n\"Answer: 1718870*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 1056*g**2 + 35. Is o(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8\/21? (a) 1\/2 (b) 1.3 (c) -3 (d) 7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44536?\nAnswer: 2, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 - 4*u - 20. Let f be v(-3). Put 0, 5, f, -16 in descending order.\nAnswer: 5, f, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7 + -5 + (-10)\/6. Let h(i) = i**2 + 27*i + 129. Let m = -392 - -386. Let a be h(m). Put 1, 1\/5, a, c in ascending order.\nAnswer: 1\/5, c, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12\/17 in -3820, -0.4, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -10654 by 7.\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 39. What is the highest common factor of 65 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8 - 7)*(-22)\/(-33). Let m = 46 + -17. Let c = -57\/2 + m. What is the second biggest value in v, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -504*x**2 - 5*x**3 - 6*x**3 + 139*x**2 + 5*x**3.\nAnswer: -6*x**3 - 365*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -50 times 816\nAnswer: -40800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1323 - -1383. Suppose -5*j + 115 + 85 = 0. Calculate the greatest common factor of j and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 208 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s\/s**(2\/3))\/s*s*s*s*s*s**6*(s**(-2\/11)\/s)\/(s\/(s**(-1\/4)\/s))*((s**(-1))**(2\/7))**(-19) assuming s is positive.\nAnswer: s**(12317\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 21, 5, 13 in decreasing order.\nAnswer: 21, 13, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 8287412 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x + 46. Let k be a(0). Let g = k + -11. Let l = g + -24. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*j**2 - 546144*j - 24856105728.\nAnswer: -3*(j + 91024)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -96 + 3*a**2 + 10*a - 2*a**2 + 8*a - 33*a + 14*a to the form c + j*a**2 + r*a and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What comes next: -1976, -2015, -2070, -2129, -2180, -2211, -2210, -2165?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17821.\nAnswer: 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 + 7 - 7)*(-21*z - 97 + 97)*(3 - 3 + 5) to y + o*z and give o.\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(36\/6 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2759, -2789, -2857, -2963?\n\"Answer: -19*n**2 + 27*n - 2767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p**5 - 5530*p**4 - 163065*p**3 - 1799640*p**2 - 8730180*p - 15688080 = 0. What is p?\nAnswer: -1076, -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is b6d81 - 7?\nAnswer: b6d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 20*r = -66, -53*k - 62*k = 58*k - 170*k - 5*r - 68 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -221*d - 447*d - 611 + 27*d with respect to d.\nAnswer: -641","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -3*z - 2*z - 6 + 4*z. Suppose -3 = h - 0*h. Let v be t(h). Sort -4\/9, v, 2 in descending order.\nAnswer: 2, -4\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 479228698.\nAnswer: 2, 13, 709, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y = -5*d + 6*y - 20, 20 = -5*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w - 24 + 109. Put 2, -4, w in descending order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -3, 6, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 676\/2145 + 6\/(-45).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of 5*z**2\/2 - 7*z - 2. Let a(c) = 370*c + 1 - 374*c + 0 + 5. Suppose 7*k - 40 = -k. What is k*x(n) + 6*a(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50039.\nAnswer: 11, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -3\/50 and -93\/44980.\nAnswer: 224900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.972409kg to tonnes.\nAnswer: 0.005972409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 473927689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1377409.\nAnswer: 11, 125219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(-8) - 9\/36. Let g be (t + 0)\/((-9)\/(-18)). Suppose 3*k = g*k + 479. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -72 - -55 - (4 + -74605)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5803 + -5792.8446. Let t = -0.8534 - j. Let u = t + 11. What is u rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 1:51 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + (-1 - -4) - 3) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4954771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(152)\/(sqrt(72)\/sqrt(81))*-3.\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-6*sqrt(85)*-2 - sqrt(85)) + sqrt(85) + sqrt(85))\/((sqrt(245) - sqrt(245)*-3) + sqrt(245)))**2 + ((0 + sqrt(612))*2*6*5)**2.\nAnswer: 2698922873\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the second derivative of -51*g**5\/20 + g**4\/6 - 2*g**3\/3 + g + 9. What is the third derivative of r(y) wrt y?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 3*w - 13. Suppose 5*k = -u - 3*u + w, -2*u + 19 = 5*k. Let i(d) = 2*d - 2. Let s be i(k). Solve 0 = -3*p - 4*v - 6, -15 - s = -2*p + 5*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -516.9842 rounded to zero dps?\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 51750311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -21*f - 9. Give y(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 2\/473 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43021 is divided by 14068?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 16 = -4*c + 3*s, -4 = -c + 4*s. Determine g, given that 3*g**c + 4 + 2*g**3 - 2*g**4 - 2*g**2 - g - g**5 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23\/7? (a) 34 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8103*u**3*w - 10*u**3 - 2*u**2*w - 80*u**2 + 41*u*w - 149155*w wrt u?\nAnswer: 48618*u*w - 60*u - 4*w - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3467592382.\nAnswer: 2, 269, 797, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -5, 0.2, -75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2*-1)\/((-25810)\/2870 + 9). Round j to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -7*l + 37. Let v be r(5). Let k be (-1)\/((-11)\/(-2))*-15. Do k and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-130)\/(-150)*5*(-42)\/(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -100, 0.6, 2\/5, 0, -15\/7, -3, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 3494 * 6.\nAnswer: 20964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -266 - 55 + 366 - 2*a - 12*a**3 to the form k*a + p*a**3 + d + g*a**2 and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the third derivative of 0*c**5 + 1\/21*c**7 + c**3 + 0*c**4 + 0 + 0*c + 3*c**2 + 0*c**6. What is the derivative of b(m) wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2*z**3 - 34*z**2 - 32*z + 95. What is the units digit of h(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 + 12*g**2 + 3*g - 5. Let o be z(11). Let j = -135 + o. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2*-3*39\/((-38376)\/(-4756))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/(u\/(u*u\/(u*u**(1\/6)*u)))))**17 assuming u is positive.\nAnswer: u**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + (sqrt(5) + -2 + -1)**2 + 5*sqrt(5)*2.\nAnswer: 5*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - -1. Let v be f\/(-1 - (-2 + 0)). Let r be (-3 + -1 + 1)*1. Sort r, 3, v in increasing order.\nAnswer: r, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4834736264 to the nearest integer?\nAnswer: 69532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of -4*j**5\/15 - j**4\/24 + 5*j**2 + 3*j. What is r(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -142.1 and -32?\nAnswer: 4547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, 0, -18 in ascending order.\nAnswer: -18, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 31152 and 17936.\nAnswer: 591888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 433 a factor of 214451354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:16 PM and 10:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 3*u - 33, -4*g = 2*u - 22 - 0. Suppose 2*c + u = y - 5, 0 = 5*y + c - 58. Suppose 3*i = -i + y. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of -h**7\/35 + h**5\/15 - 5*h**4\/24 + 3569*h**3\/6 - 15*h**2 + 64. Differentiate g(w) wrt w.\nAnswer: -24*w**3 + 8*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of 3*d + 0 + d**2 + 0*d**5 + 0*d**4 + 0*d**3 + 2\/15*d**6. Differentiate v(l) with respect to l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 545 and 10430?\nAnswer: 1136870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*z + 3*z + 43*z - 164.\nAnswer: 89*z - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 90896.904 seconds?\nAnswer: 0.1502925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -4*j**2 + 7372*j + 14760 = 0.\nAnswer: -2, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of 7*x**2\/2 + 2*x - 208. Let u be -1*(-4)\/6 + (-14)\/(-6). Determine a(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lapalpaa. What is prob of sequence aap?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*o - 3957 = -17*o - 8*o - 4808 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 311555 (base 7) to base 8\nAnswer: 150312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 3*w - w)*(0 + 0 + 2 + (2 - 2 + 2)*(1 + 1 + 0)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -644920 divided by 10\nAnswer: -64492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51 - -54. Suppose -b*l + 936 = -3*u, -2*l + 7*l = u + 1544. Calculate the greatest common factor of 44 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 252042 at least 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -246 + 342. Let m be (-12)\/v + 17\/8. Solve 7*l + 5*j = 2*l, 12 = m*l - 4*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**2 + 2*g. Let s be w(2). Let d(r) be the third derivative of 0*r**4 + s - 1\/210*r**7 + 2*r**2 + 1\/120*r**6 + 0*r + 0*r**3 + 0*r**5. Factor d(p).\nAnswer: -p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 3*r + 17. Let b be w(-5). Suppose b*h - 20 = h + 4*t, -5*h + 3*t = -100. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*((w*w\/(w*w\/w**2))\/w)\/w*w)*w*w)**(-2))**(-10) assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 122053425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**3 - 42144865*c**2 + 88809503365840*c - 88809461220980.\nAnswer: 5*(c - 4214486)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 - ((-30 - -21) + 4) - 52.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + -2 + (9 + -2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 8*v**2 - 9*v - 9. Let w(i) = -i**3 + 4*i**2 + 5*i - 7. Let p be w(5). Let h be y(p). Let f be 0 + (0\/1)\/(-1). Solve f = -h*l + 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2356992)\/27776*14\/9.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*s - 13 = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*b**24)\/b))\/(b*b**2))\/(b**(-2\/25)\/(b**(1\/36)*b*b)) assuming b is positive.\nAnswer: b**(-21503\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -6.27614158 rounded to 2 decimal places?\nAnswer: -6.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -o**5\/2 + 253*o**4\/2 + 255*o**3\/2 - 253*o**2\/2 - 127*o = 0. What is o?\nAnswer: -1, 0, 1, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 7\/((-56)\/(-43))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*h - 2*h**2 - 3*h + (-h**2 + 3*h**2 - 4*h**2)*(-2 + 1 + 0) + 1 - 1 + h**2 + (-h - 2*h + 4*h)*(3*h + h - 2*h) + 6*h**2 - 43 + 43 - h**2 + 4*h - 4*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 510 = 4*p + 5*n - 152, -498 = -3*p - 3*n. Suppose 2*k = -2*k + p. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5953469008.\nAnswer: 2, 372091813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v**2 + 210*v**3 - v**2 - 1504*v**3.\nAnswer: -1294*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8271 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be 23\/(-115)*(2*-1 - -3). Let b = 1.438 - -3.57. Let n = b - 0.008. Put 2, n, z in descending order.\nAnswer: n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*u + 191 = -73 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 40, 65, 90, 115?\n\"Answer: 25*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -1\/5, 0.2, 0.4, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3074743943 from -9.011.\nAnswer: -3074743952.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the first derivative of a**2 + 1. Let v(n) = -103*n**2 - 14*n - 28. Let u(c) = -63*c**2 - 9*c - 18. Let y(g) = -14*u(g) + 9*v(g). Determine y(t(r)).\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -3*z - 36. Let c(b) = 31*b**2 + 2*b + 2. What is the remainder when c(-1) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.049 + -0.0072. Let i = -29.9582 - a. Is i less than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bvbbbbbvbvb. What is prob of sequence vvb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of z**7\/10 + 9*z**5\/20 + 2*z**2. Find the third derivative of w(k) wrt k.\nAnswer: 504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142*k - 12 = 139*k. Suppose -k*o = 2*o - 4404. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes before 1:59 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2675556 is divided by 5493?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5027440 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -35*s**4 - 2*s**3 + 7*s + 14139.\nAnswer: -140*s**3 - 6*s**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (12 - 2*w - 6*w + 10*w)*(-274*w - 326 + 326) in the form b + l*w + q*w**2 and give l.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/(-78)*-3*2\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1560606069 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.366 and -3.\nAnswer: -1.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2610.3 - 2611. What is the nearest to w in -91, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -3. Suppose 2*n + n + 3*r - 27 = y, 4*n - 6 = 2*r. What is the third derivative of 4*c**3 - n*c**3 + 3*c**2 + 0*c**5 + 3*c**5 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.2, -2\/155, 4?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 11507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-66)\/8)\/((-150)\/6800*-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36379828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/7, 1, -4, 0.4, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-20)*q*q*q**(-6\/19)\/q)\/((q*q\/(q**(-2)\/q))\/q*q\/q**(2\/25)*q) assuming q is positive.\nAnswer: q**(7488\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 - (5 - (0 + 3)) - -1. Let r(x) = 6*x**2 - 7*x + 7. Let z(n) = 3*n**2 - 3*n + 3. Determine k*r(f) - 5*z(f).\nAnswer: -3*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7992 = 2*q + 2*f, -q + 4*q - 2*f = -12013. Let j = q + 11801. What is j rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -3*b - 4. Suppose 2 + 0 = m. Suppose -18 = v + m*v. Is 14 a factor of z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02057266 rounded to 4 decimal places?\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + y - 2)*(-2 + 2 - 3*y)*(-2 + 2 - 1) as s*y**2 + v + p*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -119550, -119623, -119696, -119769?\n\"Answer: -73*x - 119477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 + 55*x**2 - 297*x + 149. Give t(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -22 - -12. Let h be (-1)\/4 + w\/24. Let j be 198\/90 - (-4 + 0 + (5 - -1)). Which is the nearest to 0.2? (a) 5\/4 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14602.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 353976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15 - 23. Let i be ((-15)\/(-12))\/(2\/(-8)). Sort i, w, 3\/4 in decreasing order.\nAnswer: 3\/4, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111*r = 117*r - 840. Let f(s) = s**2 + s - 1. Let d be f(0). Let j be ((-245)\/21)\/(d\/3). What is the highest common divisor of r and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4296093 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: Which is bigger: 94328 or 94336?\nAnswer: 94336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*v = -135. Suppose 2*a - v = 15. Let j = -1 - -3. Solve -3*x + a = -3*z - 0*z, j*z + 2*x + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 13\/((-234)\/4) + 13\/(5031\/88). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*f - 715 = 215*f - 13 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 + -295925.\nAnswer: -295927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 - 11*b + 34. Let i be u(3). Let g(t) = 16*t - 37. Let p be g(i). What is p rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q - 60 = -220. Let a = q + 21. What is the highest common factor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110711613 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjddjbjdjbdoof. What is prob of picking 2 o and 1 b?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1138 divided by -569\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -0.35094, -4\/7 in decreasing order.\nAnswer: -0.2, -0.35094, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 143 and 2629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1014044 (base 6) in base 15?\nAnswer: e714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be -8 - (-748)\/51 - (-65)\/78. Let k = 0 + 0. Factor k*w - x*w**2 - 6*w**3 + 3\/2*w**4 + 0.\nAnswer: 3*w**2*(w - 5)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -2 (c) 4\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -7.9?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 17 - (1 + (-2 - -3)). Suppose x = -c + 4*c. Calculate the greatest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 49 - ((75 + -33 - 61) + 145)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(6\/25))\/z)\/(z*z*z**(-2\/7)) assuming z is positive.\nAnswer: z**(-258\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-74*n + 78*n + 111*n)*(-2*n + 3*n - 3*n) - 4*n**2 + 0 + 0.\nAnswer: -234*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -6*b**5 + 38*b**3 - 132*b**2 + 180*b - 84. Let d(g) = -5*g**5 + g**4 + 37*g**3 - 134*g**2 + 181*g - 83. Let s(n) = -4*d(n) + 3*v(n). Factor s(r).\nAnswer: 2*(r - 2)**3*(r - 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 793481692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/(-20) + 62\/8. Suppose 3*x - 3*z - 7 = h, 5*x = 3*z + 19. Which is the nearest to -0.3? (a) x (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20185079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.131 in -0.06, -5, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -18087804, -36175585, -54263366?\n\"Answer: -18087781*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31828.487*-7.\nAnswer: 222799.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -43174992 by -6.\nAnswer: 7195832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 978394337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sqqssssssssqsqssssqs.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 0 + 0 + sqrt(3) + sqrt(3).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -2*f + 5*w, -27*f = -19*f + w - 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 13266 divided by 4422?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1.269475 litres in millilitres?\nAnswer: 1269.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 990 and 36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(400)*-2 - -5*1*sqrt(400))\/(-1*sqrt(8)*-6 + (sqrt(392) - sqrt(392)*-4) + sqrt(392)).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(132)*-6)\/sqrt(12).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 4:11 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -q**2 + 1606*q - 644809 = 0 for q.\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i. Let u(o) be the third derivative of -11*o + 0*o**3 - 1\/24*o**4 + 2*o**2 + 0 - 23\/20*o**5. Determine j(u(z)).\nAnswer: -138*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -5, -1, 40, -12 in descending order.\nAnswer: 40, -1, -5, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of -3*v**4\/4 - 2*v**3\/3 + 9*v**2\/2 + 9*v + 6. Let l be t(-7). Let c = l + 9523. What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-70275 + 313*o + 70275)*(-1 - 1 + 0).\nAnswer: -626*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 756 - 125. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5832 and 108.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 248*f**3 - 125*f**3 + 7 - 122*f**3.\nAnswer: f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from {s: 5, e: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r - 1674 = 12*r. Let i = -1897 + r. Round i to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 - -1 - (51 - (50 + -31))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4148 and -44?\nAnswer: -182512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*w**3 + 4 + 12*w**3 - 9*w**3 - 2 + 17*w**4 to a*w**4 + v + b*w + u*w**3 + f*w**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-6))\/(217\/651).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 572338 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 - 2. Let n = -1 - b. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4201\/17 - 247. Let i = 0.289 - 0.22. Let n = i - 4.069. What is the third smallest value in n, d, -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -272, -13, 3, -3 in ascending order.\nAnswer: -272, -13, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -16.4993\nAnswer: 8.24965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -77*i**3 + 4*i**2 - 4*i + 17. Give z(2).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 63178.4 tonnes to nanograms.\nAnswer: 63178400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = k + 6. Let x be k\/(-12) + (-1)\/(-2). Solve -b = x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15 + 20. Suppose 167*w + 1760 = -146*w - 127*w. Let v(o) = -2*o + 4. Let k(t) = -2*t + 3. What is w*v(j) + x*k(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -9*g - 9 + 69 + 84. Let h be t(16). Which is the second smallest value? (a) 13 (b) h (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*i - 2*i + 3*i)*(3 - 6 + 0) - i - 5*i + 4*i)*(6*i + 5*i - i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 2*r = 3830, -11*r - 4 = -7*r. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 5\/24 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6077 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3462 is divided by 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16476490626 - 16476490316.00000164. Let i = 310 - c. What is i rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1280*b**2 - 7 + 1048*b**2 + 14*b - 15*b.\nAnswer: 2328*b**2 - b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (14\/(-8) + 2)*(13 + -9). Let x = l - -53. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2 - k. Suppose 12 = 3*t + 386*z - 387*z, 0 = 2*t - 4*z - 38. Let f(a) = -270*a**2 - 225*a. Determine t*f(g) - 225*p(g).\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 220 and 10020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/4, -4, -95.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2768 (b) -2 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 43 and 92063.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 47 + -47.3. What is the third smallest value in -2\/7, f, -3\/5, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -c**7\/14 - 7*c**3\/3 - 12*c**2. What is the derivative of p(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 9290 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.5031361 kilometers?\nAnswer: 503136100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 616. Let d(k) = 2167*k**2 + 11 - 11 - 4338*k**2 + 2169*k**2. What is r(d(s))?\nAnswer: 4*s**4 - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -217600 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1742 and 585312.\nAnswer: 585312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the first derivative of -4*q**4 + 92*q + 67. Differentiate h(l) with respect to l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -886 + 996 = 110*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 51282*z - 13. Calculate f(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 0.2491, 4, 2\/15, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/p**15*p\/((p*p\/p**(4\/7)*p)\/p)*p**(-16)*p**(-4\/7)*p assuming p is positive.\nAnswer: p**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 - 4*a**2 + 14*a + 36. Let p be u(-6). Determine y so that 34*y**2 + 225*y - p*y**2 - 5*y**2 = 0.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.8 times 77.27?\nAnswer: -293.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkgkrkrkgkmxgkxkrkxk. What is prob of sequence mr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1942*f = 1944*f. Let k(z) be the first derivative of -9*z + f*z**2 + 3 - 10\/3*z**3. Differentiate k(r) wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3\/11 (b) 1.64 (c) 5 (d) -1\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -40*g + 164*g - 67*g - g + 3*g - 3*g + (2*g + 0*g + 0*g)*(0 - 4 + 3) - g - 1 + 1 + (2 - 1 - 2)*(800 - 800 - 57*g) in the form w*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 5*q + p - 326, 4*q + p = 265. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -164675 or -164978?\nAnswer: -164978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 5*t = -210, -4*t + 110 = -25000587*s + 25000562*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 35.38683 centuries in months?\nAnswer: 42464.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 18 + 15 + c**5 - 1 + 2*c**5 + 3*c**5 - 4*c**5 + (-3*c**2 + 3*c**2 - c**2)*(-4*c**3 - 2*c**3 + 5*c**3).\nAnswer: 3*c**5 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of c**3\/6 + 3*c**2 - 3*c. Let s(g) = g - 4. Let x be s(0). Determine v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 1\/2 (b) 2\/5 (c) -3\/10 (d) 0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1341*p - 1330*p = 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 5ca (base 16) to base 11\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*122.3.\nAnswer: 12.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(99)*4 + sqrt(99) - (sqrt(99) - (sqrt(99) - 1*sqrt(99)*3)))\/(3*sqrt(1089) + sqrt(144)*5 + sqrt(144)).\nAnswer: 6*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 275637859 - -1.881\nAnswer: 275637860.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/16322975 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-52152)\/(-795) + -65 + 382\/5?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 62 + 2 + -9 - (-108 + 136).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 2, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1978996554 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5901 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 76820825 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vrrq when four letters picked without replacement from {f: 5, v: 4, r: 2, q: 4}.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -765057, -764997, -764897, -764757, -764577?\n\"Answer: 20*t**2 - 765077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -95113, -95278, -95443, -95608, -95773, -95938?\nAnswer: -96103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2. Let p(m) = -239692277*m**2. Calculate p(q(f)).\nAnswer: -239692277*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of o**4\/126 + o**3\/21 + 2*o**2\/21 - 121*o. Suppose w(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4*o*v*z**3 - 5*o*v*z - 3*o*z**2 + o*z - 11*o - v - z**3 wrt v?\nAnswer: 4*o*z**3 - 5*o*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-9018)\/12*(-32)\/24 and 668.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (12\/(-2))\/((-22)\/(-55)). Let o = -12 - k. Let x(j) = 4*j + 3. What is x(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*d + 3*d - d - d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -98*y**3 - 12852*y**2 + 11070*y - 2376 = 0.\nAnswer: -132, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 42 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -649*o**3*z**2 - 6*o**3*z - 56*o**2*z wrt z.\nAnswer: -1298*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 11) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 206749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p**2\/p*p)))\/(p*p**(-2\/23)\/p))\/(p**3)**(-2\/21) assuming p is positive.\nAnswer: p**(382\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 + 18*a**2 - 31*a - 20. Let k be u(16). Are k and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 16075.19 to the nearest 10.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/11)\/x)**(-7)*x**(-5)\/x*x\/x**(-1\/22)*x assuming x is positive.\nAnswer: x**(39\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.01123872 + 524.1.\nAnswer: 524.11123872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (176\/(-64))\/((-2)\/(-40)). Let d = 81 + i. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 100112 divided by -25028\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 36*q - 168*q**3 - 345*q**3 - 83*q + 44*q - 2.\nAnswer: -513*q**3 - 3*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24356456.\nAnswer: 2, 1361, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(12\/8 - 0) + (-7968)\/(-5644)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 17*s**3 + 8*s + 8. Suppose -2*r - 16 = -2*v, 3*v + r - 18 - 6 = 0. Suppose 2*c - 14 = -8. Let h(n) = -6*n**3 - 3*n - 3. What is c*z(y) + v*h(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/2 and 43\/(-70) - 8\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0.21 (c) 3\/8 (d) -3 (e) 0.1 (f) -31\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 4*g = -412. Suppose 3*i + 6*a - 96 = 2*a, 3*a + g = 4*i. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 35 and 88253755.\nAnswer: 617776285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 41 - 38. Let h = -38 - f. Let y = h - -40.999999546. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -45 - -50. Suppose -460 = -q*k + 8*r - 3*r, -r = k - 98. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -38.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 + 0.1. Let r = -1178\/7 - -168. Let o = -0.083 + -1.917. What is the biggest value in u, r, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18 or -42260\/2513?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101101111101 + -11101011?\nAnswer: -1110001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 11*s**4 - 18*s**3 - 47*s**2 + 95*s + 108. Let d(z) = -16*z**4 + 27*z**3 + 70*z**2 - 142*z - 162. Let u(q) = -5*d(q) - 7*j(q). Factor u(w).\nAnswer: 3*(w - 3)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**13*l*l*l)\/l)\/l*l**(3\/16)*l assuming l is positive.\nAnswer: l**(-157\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/(-196)*91\/39?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -1 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 + 6*o**2 - 4*o - 4. Calculate the lowest common multiple of j(5) and 135\/30 - 3\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3.115 and -6.\nAnswer: -18.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -49 + 6 + 16 - 10*u + 2*u in the form z + v*u and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 9, x: 1, b: 3, c: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l - 3. Let x be p(4). Solve x*w + 18 = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -2*o**3 + 16*o**2 + 64*o - 15. Give n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + 4*n - 3, -2*h + 0*h = n + 13. Suppose -d = 4, -70 + 2 = 4*a + d. Let t be (a\/(-2))\/2 - 8. Are t and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i + i - 2*i + 2*i + 3 - 3 - 1 + 1 - i + (0 - 1 - 1)*(0 + i + 0) + 3*i - 3*i - 2*i - 2*i + 4 - 4)*(-1 - 1 + 0 + 0 + 6 - 3 + (3 + 1 - 2)*(-2 + 1 + 0)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -2*x. Let d(i) be the third derivative of 0 + 0*i**3 + 0*i**4 + 1\/30*i**5 + i**2 + 0*i. Determine u(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (v + 4*v - 3*v)*(4 + 10*v - 4) as c + n*v + u*v**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-134 + 71 - -59) + 2 + -42 + -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vogggggogg. What is prob of picking 1 o and 1 g?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/6*(5\/10 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -14*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = -12, 3*u - 2*u = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**2 - 788*a - 26216.\nAnswer: 4*(a - 226)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -146008738, -146008733, -146008730, -146008729?\nAnswer: -146008730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 79735*z**3 + 19665 with respect to z.\nAnswer: 239205*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.1 - -8.9. Suppose 3*l - 57 = -v, -63 = -3*v + 4*l + 56. Let n = 179\/4 - v. Which is the second biggest value? (a) n (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (240\/60)\/(((-4)\/20)\/(2\/4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 518261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*c - 7*c = 8327 - 1385. Sort 7, c, -3.\nAnswer: c, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 1278 + 1265 = -5*o, 26 = -2*o + 4*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -515 + 523. Solve 7 = -d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 - 11*t**2 + t + 8. Let g be w(-11). Suppose v + 0*v = 1. Put 5, g, v in increasing order.\nAnswer: g, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4182 is divided by 423?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*h*k*n + 15*h*k + 7*h*n - 585*h - 28*k*n + 62*k + 11*n + 2 wrt k?\nAnswer: -2*h*n + 15*h - 28*n + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -2*y**3 + 17*y**2 - 2*y - 57. Calculate s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m\/(m\/((m\/(m*m\/((m**7*m)\/m))*m*m)\/m))))\/m)\/((m\/m**5)\/m))\/(m**1*m**1) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1.8, 0, 0.4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1573\/24 - 200\/3. Let w = 0.01478 + 0.08522. Which is the closest to -1? (a) g (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -268614*x**2 - 2*x**3 + 268614*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -b + 3*z, 4*b - 171*z = -173*z - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes before 5:53 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (0 - (-6 - -22)) + 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 31727*z - 15968*z - 10090*z in the form f + d*z and give d.\nAnswer: 5669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.86 - -0.14. Put h, -2, 5\/3 in descending order.\nAnswer: h, 5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -5 - 2*(-26)\/4. Solve -4*l + 24 = z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 32 = -5*g, -2193*b = -2191*b - 2*g + 16 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**2 + 575*o - 1130.\nAnswer: -5*(o - 113)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1819399 is divided by 79085?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56 = -5*j - 2*q - q, 2*q + 58 = 4*j. Suppose 5*g + 3*d = -33 + 549, -3*g = -d - 304. Calculate the remainder when g is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (10 - 6)\/(1 + 1). Let q = z + 1. Let r be (1 + -2)\/(q\/(-6)). Put r, -2, -5 in ascending order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 2100101010?\nAnswer: 2100100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3376\/12660)\/((6\/(-120))\/((-2)\/(-12))).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 101 + -101.47. Let k = t - -0.5. Let r = 74.95 - 75.95. Which is the smallest value? (a) r (b) -4 (c) -0.4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of y**5\/330 - y**4\/12 + 8*y**3\/11 + 65*y**2 + 43. Let n(s) be the second derivative of q(s). Factor n(m).\nAnswer: 2*(m - 8)*(m - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19 + -27. Let d be 6 + 2*12\/p. Suppose 3*k**d + 3*k**2 - 5*k**3 + k**4 - k**3 + 3*k**5 - 4*k**4 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0092 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 121 + 326. Suppose 3*z + 0*z = k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 + 34*k**2 + 34*k + 48. Let v be m(35). Suppose 3*c - 18 - 24 = 0. What is the second derivative of 3*x + 11*x**5 + v*x**5 - c*x**5 wrt x?\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 4166*u + 474831. Give o(-114).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/(-5)*25\/5. Let n = z - -21. Suppose 5*m - n + 4 = 0. Solve -3*g + 4 = -p, 0 = m*p - p - 3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 2 = 4*m, -7*m + 2*m - 2*o = 2. Suppose 4*h = 2*h - 3*t, 2*h + t = m. Solve h = 2*p - 6*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5547 - -5550. Find s, given that -3\/2 + x*s - 3\/2*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 4*t + 1. Let s(x) = -7*x - 3. What is the remainder when s(t) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 6019814 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -23*q**2 + 17*q + 17. Let d(b) = -4*b**2 + 3*b + 3. Let x(z) = 34*d(z) - 6*k(z). Let v(y) = 2*y. What is x(v(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -2190 - 255468027.\nAnswer: -255470217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(117) + sqrt(117) + sqrt(117) + -1 + -2)**2 + 1 + -1)*-6.\nAnswer: -6342 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 38 = -v, -19 = -3*q + 3*v - 1. Let d(x) = -2*x**3 + 25*x**2 + 11*x + 39. Let f be d(13). Solve -2*b + f = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12 or -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -63430 times -4\nAnswer: 253720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 4672420, 9344841, 14017262, 18689683, 23362104, 28034525?\n\"Answer: 4672421*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -63 - -47. Let y be 4\/40*-2 - n\/5. Suppose 0 = t + y - 58. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) + -1 + -2)**2.\nAnswer: -42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3300)*4)\/(sqrt(1331) - (sqrt(1331) + sqrt(1331)*-1))*-2*-5.\nAnswer: 400*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -550 + 113 - 402 = 1052*z + 213 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8059 + 8066. Solve -u*w + 6*w - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 85.8338 from -165110.\nAnswer: -165195.8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*r - 15*r - 8*r - 2*r**2 - 16*r to u + w*r + z*r**2 and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6371 is divided by 94.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-30*t - 63*t - 35*t)*(2 - 1 - 2)*(3*t - 2*t + 5*t) as s*t**2 + p + b*t and give s.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3319032 times 0.1?\nAnswer: -331903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: c0 (base 15) to base 12\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -4*b - 0*b - 4*z, 3*z = 12. Do b and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 + 2*m + (-4*m + 0*m + 3*m)*(6 - 3 - 6) + 0 - 2*m + 0 + 3*m - 3*m - 2*m - m + 2*m + m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 56811460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 67 + 1343022?\nAnswer: 1343111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -10247 at most -17417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v - v + 5*v + (0*v - 3*v + 5*v)*(1 - 3 + 1))*(v - v + 2*v)*(-2*v**2 + 2 - 2).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 + 25. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7261 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6696 - 6692.003. Let o = 0.003 + g. Let s = 1.3 - 1.1. Which is the second biggest value? (a) s (b) 2\/3 (c) o (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1201059 divided by -3\nAnswer: 400353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 1266730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l + 18. Let q be r(-6). Let k = 7 - 4. Solve -k*m = -15 - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 60 = 8*f. Calculate the greatest common divisor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 3, -6, 2, -109 in decreasing order.\nAnswer: 3, 2, -5, -6, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -192 - -266. Suppose -4*h + 10 = -p. Are 22 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from ujhsusxxufhuhjhxj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80 and 190?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1869794472?\nAnswer: 2, 3, 7, 13, 856133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 < -5045\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 1 = -3*l, 0*l = 5*v + 5*l. Let u be (v - 910003) + (7 - 3). What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n - 218373 = -218589 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 121 = 5*d, -3*d = -3*r - 33 - 30. Suppose -105 + d = -40*a. Solve -u - 10 + 9 = 0, 6 = -a*p - 4*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 36352623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -44*t**5 - 510*t**2 - 3214*t - 9?\nAnswer: -880*t**3 - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -7) + -5 + -7 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14953*n**2 + 520*n + 11874190 wrt n?\nAnswer: 29906*n + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the second derivative of 4*b**3\/3 + 47*b**2\/2 + 135*b. Let a be f(-6). Which is greater: -0.46 or a?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 4*l = 16, -12 = 4*j + 4*l - l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 4 - 9. Let l(j) = -201*j + 2. Is l(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 385075?\nAnswer: 5, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + (0 + -3*sqrt(2299) + sqrt(2299))*-1 + -5 + -4)*2)**2*-2.\nAnswer: -74368 + 3520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -129.4 times 0.01?\nAnswer: -1.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 285*g**2 + 0*g - 281*g**2 - g + 562.\nAnswer: 4*g**2 - g + 562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l - l = -5*c + 20, c = 4*l - 6. Let b be (-1)\/((-5)\/(50\/c)). Let q(x) = 6*x - x**2 + 4*x - 4*x - 5 + 1. Give q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(363)\/(sqrt(55)\/sqrt(5)))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5\/4 (c) -4908 (d) 2.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*r**3 - 59*r**3 - 8*r**3.\nAnswer: -78*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 12*j - 53. Let s be f(10). Suppose y = -4*d + s, 2*d - y - 76 = y. Calculate the remainder when 158 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2770834 (base 9) to base 2\nAnswer: -101110011110010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/(c\/c**(-2\/11))*c)**(-1\/2))**(-2\/99))**(-2\/17) assuming c is positive.\nAnswer: c**(-2\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 526*h = 520*h - 17 - 49 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*k**2 + 3*k - 2*k + 5*k**2 to the form v*k + u*k**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1062556*w**3 + 531329*w**3 + 531157*w**3.\nAnswer: -70*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.46 from -1.215.\nAnswer: -2.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 25, -5, 50 in descending order.\nAnswer: 50, 25, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 60, 3, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 181781338 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - m - 1. Let i be f(0). Let y be 2\/(-7)*(i - 6). Suppose 0*r = y*r - 8. 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: What is -4 divided by -112710?\nAnswer: 2\/56355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 29463451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1237, -2385, -3535, -4687, -5841, -6997, -8155?\nAnswer: -9315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 47346, 0.1, -0.3, -3, 50 in ascending order.\nAnswer: -3, -0.3, 0.1, 50, 47346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*k**2 - 156*k**2 + 58*k**2 - 7)*(-3*k + 2*k - k).\nAnswer: 234*k**3 + 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Expand 51*w**5 + 681 - 681 + (-5*w**2 - 4*w**3 + 5*w**2)*(4*w**2 + 3*w**2 - 22*w**2).\nAnswer: 111*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w*w*w**(-1)*w*w)\/(w\/w**15))**15 assuming w is positive.\nAnswer: w**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mbcccmqqlbmm. Give prob of sequence bqq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.59 - -0.09. What is the closest to 2 in 2, x, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.11 + -10.37.\nAnswer: -10.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (40\/(-7)*-15)\/1. Let q = u + -86. Let h be 360\/180*15\/(-6). Which is the third biggest value? (a) 5 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 1 - 1) + 5 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1457 + -483. Is 71 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -10 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 0, -2*d - 18 = 3*n + d. Let w(y) = -10*y + 21. Let a(x) = 11*x - 22. Let k(z) = n*w(z) - 5*a(z). List the prime factors of k(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 340563 is divided by 1000?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 2233.6\nAnswer: 223.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/(-39) - (-2)\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*(-9 + -1 + 2). Suppose -f = -2*s + 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121)\/(-1*sqrt(176)) + -4)*6.\nAnswer: -24 - 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of 7*w**5 - 3*w**4 - 4*w**3\/3 - 27*w - 24. Let p(a) be the first derivative of g(a). Suppose p(h) = 0. What is h?\nAnswer: -1\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-51)\/(-17))\/((-17)\/68*(-96)\/(-28))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*b + 28*b - 9 = 0. Let c = b - -8. Suppose 0 = -s - x - 2*x + 28, 5*x = c*s - 100. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -254 = -2*a - 2*n, a + 253 = 3*a + n. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of l**2*t*y + 390661*l**2*t - 4*l**2*y + 7*l**2 - 12*l*t - 8*l - 13*t*y + 7368*y wrt l.\nAnswer: 2*t*y + 781322*t - 8*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p - 4677 = -4572 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 17478?\nAnswer: 2\/8739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b + 7*b - 2*b. Let s(t) = -3*t**2 - 4*t. Let a(w) = 2*w**2 + 3*w. Let h be ((-18)\/(-15))\/(6\/20). Let p(v) = h*a(v) + 3*s(v). What is p(y(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 99849 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 423 + -404. What is the greatest common factor of h and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8.01 - -8. Let g = -3760.4 + 3760. Let y = -7.3 - -7. Which is the third biggest value? (a) f (b) y (c) g (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1286 is divided by 560?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 AM and 11:35 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 179, 339, 499, 659?\n\"Answer: 160*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 260*w + 244*w = 497*w + 42 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is dc3a5 - 4?\nAnswer: dc3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 2*j + 5*b - 449, -j = -3*b - 457. What are the prime factors of j?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -2\/21, -8, 5, 0.5, 0.2 in decreasing order.\nAnswer: 5, 0.5, 0.2, -2\/21, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-4635)\/1755 - (-4)\/13\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (58\/(-116))\/((-9)\/(-12))*-12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -31 smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 3)*(0 - 2 + 0)*(-4*k - k + 4*k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65020056 divided by 12.\nAnswer: 5418338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 + b - 14. Let s be u(0). Let r = s - -8. Let p = r + 18. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 PM and 12:59 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000383456641 rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + -2. Let o = a + 9. Let q = 429 + -430. Sort q, o, 2.\nAnswer: q, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - 16.2. Let k = s + 0.1. Which is smaller: k or 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (2 + (-3 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 40089748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 29*j**3 - 75218*j**2 + 1426902 wrt j.\nAnswer: 87*j**2 - 150436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/(((x*(x*x**2*x)\/x)\/x)\/x)*x*x*x**0)**(-2\/19) assuming x is positive.\nAnswer: x**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 56, 46, 32, 14, -8, -34?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 29509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 353344305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 452*b**3 - 452*b**3 + 33 + 33*b**4 wrt b.\nAnswer: 132*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/5, -4, 0.1154, 1339?\nAnswer: 0.1154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 344171\nAnswer: -1\/344171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1695, 6676, 14971, 26580?\nAnswer: 41503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7626.\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 68 - (53 - (21 + -7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27 + 27 - 260 + 71 + 6*n + 135.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.2 + -288436.\nAnswer: -288434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21154 = -5*p + 3056 - 3625. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 8*g - 3*g. Let v(o) = -o**3 - 5*o**2 - 2*o - 3. What is v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 220222 (base 5) to base 9.\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -3*m**2 - 4*m. Let u(x) = -3*x**2 - 3*x. Suppose -8 = 2*i - 2. Give i*t(h) + 4*u(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.8531206 years?\nAnswer: 10.2374472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10811, -21837, -33067, -44501, -56139, -67981, -80027?\nAnswer: -92277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 + 7*r**2 - 3*r + 6. Let m be s(7). Let o = -10 - m. Solve -o*d = -19 + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 2)*(-1 + 6 - 3)*(144 - 144 + 20*r) + (-2 - 1 + 6)*(r - 16*r + 2*r)*(-4 + 1 + 4).\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - -121000?\nAnswer: 120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -62 - 983. Let b = -5172\/5 - w. Let t = b + -57\/5. Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002949 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 988 is divided by 142.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v - 14. Let j be a(14). Suppose j = -2*u + 5*u - 105. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -335*d = -325*d - 80 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j\/(j*j*j*j**1*j*j)))**47)**(-2) assuming j is positive.\nAnswer: j**(-564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1663 + 1710 + -6 + 1 + (4 + -8 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 361267 and 13719.\nAnswer: 1083801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 221694, 443371, 665034, 886683, 1108318?\n\"Answer: -7*u**2 + 221698*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 25*i + 2. Let p be c(-5). Suppose z - 3 = p. Is 558\/12*(z + -3) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-234)\/(-7540)*1180\/(-354).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14.93 - -15. Let y = 0.48 - -30.52. Let b = -31 + y. Is b >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34.4 times -645?\nAnswer: 22188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15607*h**2*o**3*w**2 + 2*h**2*w**2 + 3*h*o**3*w - 7*h*o**3 - 246*h*w**2 + 2*o**3*w wrt h?\nAnswer: 31214*o**3*w**2 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 35 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -38380 + 191287\/5. Let y = n - -122. Sort y, 1\/4, 0.5, 0 in descending order.\nAnswer: 0.5, 1\/4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 506\/(-8)*-63*(-1592)\/(-45969)\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*b - 227 - 36 = 901 + 57 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + v + 4 = 2*x, 0 = -3*x + v - 10. Is ((-65)\/(-13) + -7)*877\/x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g + 879 = -5*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 931185259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the first derivative of 9*b**4\/4 - 2*b**2 - 10. Find the second derivative of c(i) wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59346342?\nAnswer: 2, 3, 11, 193, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is q in -q**2\/3 + 5282*q\/3 + 1761 = 0?\nAnswer: -1, 5283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3448 divided by 4\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9386548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 3*a**2 - 4*a**2 - 2*a - 5*a. What is the remainder when s(-5) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 9230.4+0.3\nAnswer: 9230.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -9\/536, 172, -3?\nAnswer: -9\/536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105 and 570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 253 a factor of 1319403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -390122 (c) 1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -183450 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/51170 and -131\/1190.\nAnswer: 51170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 114758 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/21*9681\/(-2766)*153.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/5 + 16*s\/5.\nAnswer: 2*s*(s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74 = -6*w + 38. Let j be 1 + (-11 - w - -6). Solve -3*a - j - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3940228662.\nAnswer: 2, 3, 656704777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of c**5 + 121*c**3 - c**2 wrt c?\nAnswer: 60*c**2 + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10221 - -10122?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 11:44 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3*a - 4 = 0. Is 6 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 78948 and 116892?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1, -5, -19, -49, -101?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.05 (b) 1\/3 (c) 1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 209, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:06 PM and 5:58 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {g: 2, d: 1, p: 3, m: 1, w: 8, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 415 is divided by 121.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 3011315866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2682 or -2680?\nAnswer: -2680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 149671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.077 - -47.977. Let k = 47 - a. What is the closest to k in -2\/11, -3\/4, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1121*b + 1136*b = 8175. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 2*j + 45 = 0. Let d = j + -4. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 982280 and 1014.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -85938433*p - 19715638?\nAnswer: -85938433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 1 = 5*a. Suppose 5*f - 21 = -b - a*b, 0 = 3*b + 3. Solve m - 4 = f*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 20517635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of v**3 - 120*v**2 - 42*v + 20885?\nAnswer: 3*v**2 - 240*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-504)\/(-105) + 2\/10. Let t(u) = -18*u - 15 + 16*u + n. Let w(r) be the first derivative of -r**2 - 9*r - 17. What is 6*t(o) - 7*w(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/(-8))\/(4\/16). Suppose d*q - 610 - 85 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 1264601*q + 25292025. Give p(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p + 0*p**2 - p**2 - 344 + 3*p**2 + p**3 + 340 to the form o*p + a*p**3 + d + c*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 755886898 a multiple of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**2. Suppose 10 + 0 = 5*z. Let f(p) = -10*p**2 + 6*p**2 + 2*p**z. Give u(f(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 8302*f - 773 = 8209*f + 2110 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -9 - -4 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8.62452 nanograms in tonnes?\nAnswer: 0.00000000000000862452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 5637 divided by 5\nAnswer: 5637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(-14) - 29\/(-7). Suppose v*c = 2*s - 22, c + 2*c + 2*s + 27 = 0. Let j be 5 + -1 + (c - -5). Solve j*g + 4 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 PM and 4:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(539) + 3 - 5*-3*sqrt(539).\nAnswer: 3 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 32911137 take away 3139?\nAnswer: 32907998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -69203597*x**5 + 6961879*x wrt x.\nAnswer: -1384071940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/20304880 and -95\/4060976?\nAnswer: 20304880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004602661 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 9, 24, 65, 144, 273, 464?\n\"Answer: 2*j**3 + j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18403 - w**2 - 8128*w - 18403.\nAnswer: -w**2 - 8128*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 1 + 60 + -69?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1851 - 1850.8. Let g = -5 - -4.7. Let b = g + r. What is the third biggest value in -3\/5, b, 0.02?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-150)\/2080*8*2\/10*-2.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(12)\/(1*sqrt(486)) - sqrt(4608)*2).\nAnswer: 863*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:05 AM and 6:05 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 10:10 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 31\/2 of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -373434*-17\nAnswer: 6348378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2240\/(-1280)*18\/231.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of j**8\/840 - j**7\/105 + j**6\/60 + j**5\/15 - j**4\/3 + j**3\/6 + j. Let w(h) be the second derivative of i(h). Factor w(d).\nAnswer: 2*(d - 2)**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 891987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 188887?\nAnswer: 17, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29*m**3 - 436476*m**2 - 75976373*m wrt m.\nAnswer: -174*m - 872952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -4*u**3 - u**3 + 11*u**3 - 12 + 14*u + 4. Let l(j) = 2*j**3 + 5*j - 3. Give 5*b(o) - 14*l(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2057) + 2)*5.\nAnswer: 10 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 30*y - 148. Let q(o) = 2*o**2 - 21*o + 15. Let w be q(10). Let x be j(w). Solve x*h - 2 = -10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -27987 by 6.\nAnswer: -9329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 19434053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -1263 = 4*s - 3*z - 1608, -10525 = -117*s + z for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide ((0 + -1033)\/((-10)\/6))\/((-608)\/(-3040))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*b - 18. Suppose 2*d = -b*d - 125005. Let l be (1 + d)*(-1760)\/10. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 2418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/(-6)*20\/15. List the prime factors of (-12 - -8)\/y + 518\/1.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t + 13. Suppose -3*r + 28 = 5*g, 2*g + 5*r + 28 = 3*g. Let o be y(g). Let n be (-5)\/o*27\/9. Solve -a = -4*a + 3*m - 15, 0 = -5*a - n*m + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -424, -421, -418, -415, -412?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 629.1 take away 843?\nAnswer: -213.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23.5 - -33. Which is the closest to -0.1? (a) -0.4 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 197*i**2 + 8*i - 4. Let n(q) = -196*q**2 - 6*q + 3. What is -4*n(j) - 3*w(j)?\nAnswer: 193*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + n**2 - 85*n + 1. Let p(r) = 4*r**3 + 4*r**2 - 256*r + 3. Determine 2*p(v) - 7*x(v).\nAnswer: v**3 + v**2 + 83*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 35557313513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -5*l**5 - 4*l**4 + 2*l**3 + 3*l. Let p(w) = w**5 + w**4 - w. Let s(i) = h(i) + 4*p(i). Suppose s(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104235116 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 463365350 - -10?\nAnswer: 463365360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1822917 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s**3 - s**5 + 2*s**3 - s**3 - 2*s**5 + s**3 + (-s + s - 2*s**2)*(-2*s**3 + 3*s**3 - 3*s**3) + s**5 + s**5 + 0*s**5 + 1 + 3*s**5 - 1 + 9 + 4*s**5 - 9.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.2 + 0.9. Let g = 0.7 - l. What is the nearest to 3 in 5\/3, g, 0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-120)*(40\/12 - 5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*a + 71 = -76 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 33*f**4 - 18171*f**3\/4 - 519423*f**2\/4 - 87687*f\/2 - 2916 = 0.\nAnswer: -24, -1\/4, -1\/11, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 3 = -i - 3, -i = -3*w + 18. Suppose w*y - 3*y - 4*h - 7 = 0, -y + 7 = h. Solve -2*g + 4*g + y*q = 7, -q = -3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 540 - 510 = -5*y. Let b = -10 - -8. Let h(v) = 4*v - 2. Let d(z) = -2*z + 1. Let o(w) = b*h(w) - 5*d(w). Calculate o(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 2*p - 829 = 7*p, 408 = 2*g + 4*p. What are the prime factors of g?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fc (base 16) in base 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7 and 1209622.\nAnswer: 8467354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*k = -2*k + 84 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 49306 in 1, 0.1, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 10*q + 47. Let i(s) = -8*s - 42. Let b(l) = -4*i(l) - 3*t(l). Calculate b(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -4*a**3 - 6*a**2 + 4*a + 5. Let w be f(-5). Calculate the highest common divisor of 67 and w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 219*l**3 - 328*l**3 + 1767*l**3 + (-2*l**2 - l**2 + 4*l**2)*(2 + 0 - 3)*(0*l - 5*l + 2*l) as z + x*l**2 + a*l**3 + b*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-1))\/(-1)*(-8459)\/(-3845)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w. Let y(t) = -7*t + 3. Suppose 2*c + 0*c = 8. Let k(u) = -8*u + 4. Let x(f) = c*y(f) - 3*k(f). What is x(p(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 5 = 2*k. Suppose 25 = -4*c + 5, 4*x - 70 = -2*c. Let s be 24\/x*3\/(-6). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*o + 99 + 5*o**2 - 28*o - 46 wrt o?\nAnswer: 10*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 151 + 29 = 0. Let u(t) = 8*t**2 + t + 9. Let h be u(-4). Suppose -5*s - h = -233. Calculate the highest common divisor of i and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 33.027 * -2\nAnswer: -66.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 398*y + 376*y - 846*y + 22776 - 22776.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from cece?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 285*q = 49*q + 5379 + 993 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 16 - (-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -5*g - 3*n, -466*g - n + 1854 = -468 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 18 = -z, 2*q + 0*q + 3*z = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/9*9\/2*(-326)\/489.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/5*p + 0 + 2\/5*p**2.\nAnswer: 2*p*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 16*i**2 - 5*i + 12. Let p be w(7). Let h = 1168 - p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.75 - 578694.174.\nAnswer: -578693.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 41a5 - -2?\nAnswer: 41a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12095 and 27894905?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12340520 (base 8) in base 2?\nAnswer: 1010011100000101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1601, -6400, -14397, -25592, -39985, -57576?\nAnswer: -78365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-13)\/1898)\/(3\/(-3054)) + (11 - 30) + 12?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 0 + 14 + 0 + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**4\/30 + 22*r**3\/3 - 111*r**2\/5 + 561*r. Suppose l(v) = 0. What is v?\nAnswer: -111, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -27, -0.2, 1\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -44 - -47. Suppose -10500000 = i*r - 8*r. Round r to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 541384009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nrrhnhrhnvnho. Give prob of sequence nrnr.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1862 - 1859. Solve 2*j + 89 = h*f + 82, -5*j - 8 = 2*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80230459 at least 80230459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -10301, -45461, -104061, -186101, -291581, -420501?\n\"Answer: -11720*a**2 + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 7}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of -u**4\/4 + u**3\/3 + 8. Let k(f) = -f**3 + 5*f**2 + f - 1. Let i(x) = k(x) - 5*z(x). Let q be i(1). Solve 3*g = 2 + q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 2*y + 71, y - 6*y + 35 = 3*r. Suppose 5*u = 2*u + r. Suppose -4*t + 5 = -5*o, -u*o = 3*t - o - 27. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4035357 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 45346 and 5066586.\nAnswer: 207730026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 18490282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-4)\/c)\/c)**(10\/9))**(1\/13) assuming c is positive.\nAnswer: c**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 10:35 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 12*7\/21*(-6)\/32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 4*m**2 - 2*m - 57. What is d(0)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-322)\/(-147) - (-9)\/63)\/(-11 + 6).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20299707.\nAnswer: 3, 751841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3.042243t?\nAnswer: 3042243000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 21*c + 34. Let i be f(-20). Let p = i - 28. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that d**4\/11 - 87*d**3\/11 + 2091*d**2\/11 - 8405*d\/11 = 0.\nAnswer: 0, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 288 and 2784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + 60 = -4*z. Let f be z\/30 - 20\/(-6). What is the units digit of 964\/16 + (-1)\/f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -49 + 42. Let x = 4.2 + -4.6. What is the closest to 3 in w, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 173 + -48. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 49? (a) -0.6 (b) 0.3 (c) 1\/4 (d) -607.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 17000 divided by 1700?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/((-214)\/24 + 2 + 21\/(-12)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s = 207 - 192 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 138 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 36*d**2 - 2*d - 1. Let f be w(-1). Let n be (-8)\/(-12) - f\/(-3). Let h = n + -9. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 32 - 2 = 0. Let t be x - 4 - (-1 + (3 - 5)). Let u = -0.46 + 0.26. Which is the biggest value? (a) u (b) 0.4 (c) t (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g**(-3\/19)*g)\/g)\/g)\/(g*g**(-2\/57)*g)*(g**(-11\/2))**(19\/3))**(-24) assuming g is positive.\nAnswer: g**(17308\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1102826?\nAnswer: 2, 139, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 3*h + 44. Calculate p(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4*i**2 - 13*i - 2. Let a(w) = w**2 - 2*w - 1. Let z(q) = -3*a(q) + b(q). Suppose 0 = 5*p - 7 - 33. Calculate z(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-45)\/3 - (884\/(-26) + 28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/7, 3, -2\/3, -2\/9, 11\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -372.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -79*x - 18*x + 42 + 3 + 0 + 8 + 27.\nAnswer: -97*x + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 3*f + 319 = 3, -3*f = 12. Differentiate -2830*x**2 - 193 + 2830*x**2 - r*x**3 wrt x.\nAnswer: -246*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13.7 in 1\/5, 2, 1.45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of t**3 - 12*t**2 - 22*t + 106. Let r be s(9). Solve 3*h = -r*z - 20, z + 2*z + 12 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 310 - 313. Which is the second biggest value? (a) -20 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4875\/8 - 72983\/120. What is the common denominator of 32\/5 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4659784190 to the nearest integer?\nAnswer: 68263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 1. Let l(d) = -q*d - 3*d + 2*d. Let a(v) = 6*v**2 - 5*v. Let m(p) = p**2 - p. Let g(s) = a(s) - 5*m(s). Calculate g(l(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -126 - -139. What is the greatest common factor of b and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 4*w**2 + 14. Let k(c) = -219*c**2. Determine n(k(f)).\nAnswer: 191844*f**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -6. Let u be (2 - 1) + (9 - v). Suppose n + 1 = -a, 2*n = 3*a - 12 - u. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**2 - 4*c - 7. Let g be n(6). Let w(t) = 2*t + 2. Let v be w(-3). Let p be (-2)\/56 - (-1)\/v. What is the biggest value in 1, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -4*a, -89*a - 15 = -5*u - 44*a - 49*a + 38 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 4*d - 716 = 0, d = -2*w - 2*w + 2779. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1476 is divided by (3\/4)\/((-11)\/(-1848)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -263 + -103550300?\nAnswer: -103550563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -968171, -968282, -968395, -968510, -968627?\nAnswer: -968746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 346470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 5 = 5. Let k(b) = -3*b**3 + b**2 + b + 1. Let d be k(v). Put -1, d, 1 in decreasing order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k**2 - k - 3. Let r be z(3). Suppose 5*x + 2*w = -843, 330 = -r*x + w - 178. Let f = -84 - x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15541 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 6484?\nAnswer: 1\/1621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n. Let l be c(1). Let x(b) = -b**3 - b**2 + b + 2. Let t be x(-2). Suppose -l = t*m - 18. Solve -2*d = -m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -153*w + 3. Let s be l(7). Let f = s - -668. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, 36, 127, 306, 603, 1048, 1671?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 8. Let p = -1 + d. Solve 4*i = -3*t + 3 - 0, -p = 4*i - 2*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide 36495277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 73?\nAnswer: -6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-61 + -2)*(2086\/(-42) + -1).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 3*o - 1 - 11*o + 13. Let q(b) = 1. Let l(j) = -12*q(j) + u(j). Let a(x) = x**2 - 9*x**2 + 5*x**2 + 4*x**2. Calculate a(l(d)).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -40 - -134424432?\nAnswer: 134424342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 26775 - 26769. Solve -y = -4*z + 2*a, 160*z + 5*a + 10 = 165*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (1 + -2) - (58 - 58).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 79557907 to the nearest integer?\nAnswer: 8920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 2*w**2 - 6 + 6*w + 8 - 3*w**2 + 0*w**2 + 41. Let b be s(10). Let d(q) = q**3 - 7*q - 1. Give d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6 + 1)*1\/1. Let p = x - 11. Let m = -8 + 5. Sort -1, p, m in descending order.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wxfxwffxxfw. Give prob of picking 2 w and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 0.3 (b) -37 (c) -4 (d) 2 (e) -2 (f) -4.38 (g) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of 3*d**2\/2 + 7*d - 2. Let j be p(-8). Let v = j - -12. Let a(m) = m**2 + 5*m + 6. Calculate a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*h = 80*h - 2013 - 471 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(171) - sqrt(171) - sqrt(171)) + (-3*sqrt(1900) - sqrt(1900)))**2 + -2.\nAnswer: 35129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4395317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3198)\/4264*(-4)\/6*4*12\/13.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + v + 37 = -5*g, 0 = -4*v - 3*g + 79. What is the remainder when 84 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 9*g + 3*g - 6*g - 4*g. Let p(t) be the first derivative of -7*t**4\/12 - 7*t**2\/2 + 19. Let v(j) be the second derivative of p(j). Calculate v(q(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 115.4303 nanoseconds in microseconds?\nAnswer: 0.1154303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + 3*d - d)*(-10 + 13 + 9)*(0*d - 3*d + d) + 6*d + 55*d**2 + d**2 - 7*d**2.\nAnswer: 25*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, y: 3, c: 4, a: 1, i: 2, k: 2}. What is prob of sequence kcuk?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + -2. Let p = -1 - l. Let i = -12 - -16. Calculate the smallest common multiple of i and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 2 + 4)*(30 - 10 - 13)*(-2*y - 3*y + 4*y)*(-y**2 - 4*y**2 + 3*y**2) in the form h + m*y + w*y**3 + p*y**2 and give w.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 + 7*x**2 - 2*x + 2. Let s(c) = -c + 11. Let d be s(4). Give j(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 - 4*n**2 + n - 5. Let g be p(-6). Suppose 3*o = 6, 3*i + 3*o + 72 = -0*i. Let z = i + g. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -6269.1971+0.20261\nAnswer: -6268.99449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - 3*c + 193, -5*r - 245 = -10*r - 5*c. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 936095 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d + 16*d**3 + 4*d**2 - 8*d**3 - 6*d - 15*d**3. Suppose 3*t - 3 = 0, 4*t + 12 = -2*s - 2*s. Let y(p) = 6*p**3 - 3*p**2 + 3*p. Give s*y(i) - 3*h(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13 in -10, -2\/11, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 386002492?\nAnswer: 2, 96500623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does -13172.99 = -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.427*1747\nAnswer: 745.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.16 - -7.84. Let k = 8 - 5. What is the second smallest value in -0.1, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -2*y**2 - 18*y - 36 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1065\/208 (b) 14\/57 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23.3 + 23. What is the closest to g in 1, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 23985, 23479, 22975, 22473, 21973, 21475, 20979?\n\"Answer: w**2 - 509*w + 24493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*t**2\/5 - 807*t\/5 = 0 for t.\nAnswer: -269\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 84608, 338443, 761502, 1353785, 2115292, 3046023, 4145978?\n\"Answer: 84612*b**2 - b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3026?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 7932.6 to the nearest 10.\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 131 - 24 - 5*m - 107.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171) + sqrt(171)*-2 + 5 + (sqrt(171) - (2 + sqrt(171))*-3))**2.\nAnswer: 198*sqrt(19) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, 139, 22\/5 in decreasing order.\nAnswer: 139, 22\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve x - 271 = m - 277, 4*x + 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.43 and 1257.\nAnswer: 540.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 4430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((-6*6*2*sqrt(1539) - (-3 + sqrt(1539) + sqrt(1539) + sqrt(1539) + sqrt(1539)*-1 + 3))*-2)**2*3.\nAnswer: 202261536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 8 - 42\/(-14)*4\/(-15)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 158882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 5558922.\nAnswer: 5558922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of d*u*x**2 - 4*d*u*x - 516*d*x - 6891*d - u*x**2 + 68*u*x + u - 33*x**2 + 8*x - 13 wrt d.\nAnswer: u*x**2 - 4*u*x - 516*x - 6891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 27.48 + -28. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1323*j - 1711*j - 20996*j as q*j + h and give q.\nAnswer: -21384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1.5291 + -96904\nAnswer: -96902.4709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17323721*k**3 + 135*k - 189937?\nAnswer: 103942326*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u + 2. Let h(a) = 1. Let g be (5\/(-10))\/(1\/(-8)). Determine g*h(y) - j(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the second derivative of k**4\/12 + k**2\/2 - 4*k. Let n(t) be the first derivative of i(t). Let v(g) = -3*g. What is v(n(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 2, -1\/6, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**2 + 61*w - 572. Calculate b(8).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 29*u**2 - 11*u - 29. Suppose 0 = 4*b + 32 - 8. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 0.038, -2\/13, -2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d + 1 - 6. Let n = d + 1. What is the lowest common multiple of (-4)\/4 - (n + -8) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(2*sqrt(539)).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 51422 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 67424 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -7*d**3 + 6*d**2 - 6*d - 5. Let u = 197 - 203. Is w(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 34\/483 and -73\/159.\nAnswer: 25599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(-6))\/((j**4\/j)\/j)*(j*j*j**(-1\/2)*j)\/j**7)\/(j**(-1\/8)*j**(6\/5)*(j\/(((j*j*j**(-5\/2))\/j)\/j*j))\/((j*j**(4\/5))\/j)) assuming j is positive.\nAnswer: j**(-531\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 471744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -1558*y + 15589. Let h(z) = -21*z - 1. What is the smallest common multiple of h(-3) and r(10)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 218880 - 390640. What is k rounded to the nearest 1000?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + 10*p - 28. Let f be (-5)\/(-10)*p - -3. What is the second derivative of 7*b + 7*b**4 - 6*b**4 - 2*b + f*b**4 wrt b?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 16 - 4. Suppose 1 = -5*f + 6. Let m(o) = 0*o**2 + o**2 + 2*o - 4*o - f. Calculate m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8 + -1*(-4)\/(-2). Suppose j*m = 2*m - 4. Is (-2)\/((-6)\/(-63))*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -4\/5 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 m when four letters picked without replacement from {u: 2, l: 3, m: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2*z = -4*n + 3174, 4*n - 3180 = -2*z. Solve n = -u + 795 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 6 = 14. Solve 5*x = 5*g + 5, 0 = -r*g - 0*g + x - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 593754597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 865*z + 34. Let w(u) = 433*u + 18. Determine -6*m(k) + 11*w(k).\nAnswer: -427*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*71.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1182)\/(-2364)*(-2)\/20.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19493 is divided by 1733?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -746*u**3 + 3*u + 2232*u**3 - 738*u**3 - 12*u - 17*u - 749*u**3.\nAnswer: -u**3 - 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 40, 81, 118, 139, 132?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1\/10*-8*432\/(-1248)*-65\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 380, 382, 384, 386, 388, 390?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*h + 33 = -78 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1356685355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16128 and 5328?\nAnswer: 596736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (-8 + 5)*(22097\/(-3) + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -243? (a) -0.09 (b) -4 (c) -1\/2 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 10:43 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is v in -4*v**2 + 77108*v - 327897408 = 0?\nAnswer: 6333, 12944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 483 (b) 1 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 108*o**2 + 6. Let a(j) = -107*j**2 - j - 6. Let u(f) = -7*a(f) - 6*v(f). What is the second derivative of u(x) wrt x?\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 6:16 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/o**(17\/2)))*o)\/(o\/(o**2\/o)*o) assuming o is positive.\nAnswer: o**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/3? (a) -11.2 (b) 63 (c) -1388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.958 - -48.058. Let z = 47 - h. Let n = -54 + 60. What is the fourth biggest value in -2\/11, z, n, -1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 6 - 6 + 9*c + 0*c**2 - c**2 to q*c**2 + l + s*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, o: 2, g: 3, h: 1, r: 5, p: 1}. Give prob of picking 1 g and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/2)\/(-11*(-1)\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (24\/14)\/((-8)\/(-28)) - 3. Solve t - 2*k = -k - 3, -a*k - 7 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 419 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 127573 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 j when three letters picked without replacement from {y: 3, i: 4, j: 5, z: 7}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -6*b**3 - 16*b**2 - 7*b - 8. Let y = 21 + -16. Let q(l) = -7*l**3 - 17*l**2 - 7*l - 8. Let u(g) = y*q(g) - 6*c(g). List the prime factors of u(-10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -o - 75, 33 = -o + t - 30. Let r = 105 + o. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.53 times -49.4\nAnswer: 26.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 764 - 766. Which is greater: 25.4 or n?\nAnswer: 25.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 5 = 2*y. Let a(g) = y*g + 2*g + 2*g. Let c(p) = 5*p - 27. Let j(n) = 4*n - 18. Let z(w) = -2*c(w) + 3*j(w). Determine a(z(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -4*t**3 + 57*t**2 - 424*t + 5759. Calculate g(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-1386)\/(-1666) + 4\/(-34) - 1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 - 188*q**2 + 826*q - 84754. Give j(186).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 38252+-592255\nAnswer: -554003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(6\/(-6 + 72\/(-16)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {s: 4, l: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(637) + -1))**2 + -3 + sqrt(208)*-5 + sqrt(13)*2*2.\nAnswer: -240*sqrt(13) + 10205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**2. Let t(z) = -163754034*z. Calculate l(t(w)).\nAnswer: 26815383651273156*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -212 times -0.755\nAnswer: 160.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*a**5 - 166765*a**4 + a**2 + 7*a + 51511?\nAnswer: 140*a**3 - 2001180*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -4, -2\/51?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 157 + -82. Suppose 5*d - q = -0*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gjn when three letters picked without replacement from {a: 6, n: 1, d: 2, j: 1, g: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100110001110000 - 1000001?\nAnswer: 100110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -651951 divided by 22?\nAnswer: -651951\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 448583447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 2*s**5\/15 - 4*s**4\/15 - 2*s**3\/3 + 4*s**2\/3 + 8*s\/15 - 16\/15 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**29*o**(6\/13)\/o*o**(-3\/19)\/(o\/(o*(o*(o**12*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(10202\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-12) + (-157)\/4. Let p = 63 + r. Let l = 92 + -86. Calculate the highest common factor of p and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*g + 18*g = 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 59\/5 of a millimeter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 39, 173, 317, 477, 659, 869, 1113?\n\"Answer: s**3 - s**2 + 130*s - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 465 divide 877752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4343*b**3 + 13584*b**2 - 13586*b**2 + 743*b**3.\nAnswer: -3600*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 3056 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0591 - 0.1409. Let x = -0.23 + 4.23. Which is the closest to x? (a) 3 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 4*a**2 - 6*a + 279. Let u be f(14). Let z = -974 + u. Let k = 1 + -1. Solve h + 21 = 2*c - 4*h, -2*c - z*h - 9 = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14\/345 + 72\/115. Which is the nearest to -23? (a) 3 (b) o (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 335 and 202778180?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 689 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 684, 696, 720, 762, 828, 924, 1056?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10763, 86464, 291995, 692288, 1352275, 2336888, 3711059, 5539720?\nAnswer: 7887803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -771, -772, -775, -780?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 663776356 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2214033*o**6 + 209933*o**2.\nAnswer: 265683960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 12 + 9)*(4*s + 0 - 3 - 2*s).\nAnswer: 32*s - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 600 and 900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -16b (base 15) in base 6?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 35 divided by -3?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 92.774 rounded to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -622 - -624. Factor 0 - 7\/4*f**3 + 0*f + 1\/2*f**h.\nAnswer: -f**2*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 40 + 25 = 0. Let z be -6*2\/(8\/(-58)). Suppose 2*b - a*b = -z. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 17 = -1. Suppose -s*m = -9 + 1. Solve 2*k - 4*n = 5*k - m, 3*n = 3*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 - -2 - 42\/(-7 - -13). Let m = 13 - 9. Let c(p) = 7 - p - m + 5*p. Calculate c(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*p**3 - p**3 + p**4 - p + 2 + 2*p to m + a*p**3 + u*p + s*p**2 + i*p**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-42)\/(-8)*(-8)\/(-3). Find the second derivative of -a - y*a + 27*a**4 + 12*a wrt a.\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -117, -162, -207, -252, -297, -342?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 515468520 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 276816597 to the nearest integer?\nAnswer: 16638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is u in -u**2 + 2866820*u - 2054664228100 = 0?\nAnswer: 1433410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -877*y**3 + 2*y**2 - 4*y + 2. Let a(n) = -2691513*n**3 + 6139*n**2 - 12278*n + 6139. Give 2*a(l) - 6139*m(l).\nAnswer: 877*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 1700\/21*c + 2\/21*c**4 - 4624\/21 + 142\/7*c**2 - 64\/21*c**3 = 0. Calculate c.\nAnswer: -4, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 724375605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24 - 34. Let z = 0.7 + 0.3. Let b = 493 - 493. What is the smallest value in g, 2\/5, z, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 98500808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45164186 is divided by 2258208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -41 - -121. Let g = 82 - i. Suppose -5*m = -h + 66, -g*m = 2*h - 89 - 7. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 minus 19.431112746?\nAnswer: -31.431112746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**3 + 5*q**2 + q + 7. What is l(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 40 (base 11) in base 10?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 22 - 2. Suppose -2*g + 28 = -t*v, 3*v + 3*g + 6 = v. Suppose 5*b + 11*y - 10*y = 12, -2 = 5*b - y. Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 71 + -51. Let i be -5 + 5 - (-4 + -3). Let m = y + i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes before 11:16 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 6, a: 2, y: 2, c: 5}. What is prob of sequence jy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is 2545131 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = 2*a + 14, -2*a - 20 = -3*s - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1406 and 4?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4475482548.\nAnswer: 2, 3, 1433, 260263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-108)\/10)\/3*595\/(-238).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 93019957*l**2 - l. Let z be x(-1). Suppose 5*u + z = -7980042. What is u rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*b = 5 + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36.58 + -37. Let m = -0.02 - i. Let j = 33\/2 + -17. What is the nearest to -2\/5 in 5, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m - 68 - 40 = 19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o - 3*t = 15, -44 + 64 = 2*o - 4*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 169092250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2\/7 + 132*h\/7 + 1296\/7.\nAnswer: 2*(h + 12)*(h + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 13b96 (base 15) to base 5.\nAnswer: 4011431","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Expand 6*f**2 - 4*f**2 - 3*f**2 + (0 - 3 + 4)*(2*f**2 + 0*f**2 - 3*f**2) - 1517 + 1517 - 299*f**2.\nAnswer: -301*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1261301201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes before 2:03 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, b: 6, a: 4, k: 4}. What is prob of sequence khk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 3*f + 24 = 0, 7 = -6*v + 3*v + 4*f. What is the tens digit of v\/5 - (-924)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the first derivative of 111*z**4\/4 - 2*z**3\/3 - 569*z**2 + 28. Find the second derivative of s(m) wrt m.\nAnswer: 666*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -2 + 14. Suppose -9 = -5*x - y*w, 26 = -4*x + 4*w + 62. Suppose -4*z - z - 3*f + 123 = 0, 5*z = x*f + 155. 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 third derivative of 266373*u**4 - 2*u**3 - 2*u**2 - 510585*u - 57?\nAnswer: 6392952*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 748.5 rounded to the nearest 10?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 167.\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.3 (b) -387 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16683.3 or 0.74?\nAnswer: 16683.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of 3*n**5\/40 - 33*n**3\/8 + 75*n**2\/4 - 63*n\/2 - 338. Solve b(t) = 0.\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 - k + 1. Let o be d(2). Let b = 26 - 16. Factor 6*z**o - 2 + b*z**2 - 4*z + 0 + 6*z.\nAnswer: 2*(z + 1)**2*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**2 + 13*p - 39. Let t be s(8). Suppose -34 = -7*y + t. Solve y*u = 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + w)*(-3 - 1 + 5)*(-153*w**3 - 7*w**3 - 4*w**3).\nAnswer: -164*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 1, d: 2, g: 1, s: 1, w: 2, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 18.819418 (b) -1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74867, -150003, -225405, -301073, -377007, -453207, -529673?\nAnswer: -606405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3671856 and 1376?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 92? (a) -6 (b) -24 (c) 1\/6 (d) -7 (e) -0.4 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 14*p**2 + p**3 - 2 + 13*p**2 + 1 to the form f*p**3 + b + o*p**2 + v*p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -2\/33, 0.3, -4\/5 in decreasing order.\nAnswer: 0.3, -2\/33, -4\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 635 + -635. Suppose 16 = 8*l - n. Factor 135*w - 5 - 3645\/4*w**l.\nAnswer: -5*(27*w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(931) + 0) - sqrt(931)) + sqrt(931) + (sqrt(931) - (1*sqrt(931) + 5)) + sqrt(931))**2.\nAnswer: -420*sqrt(19) + 33541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3\/4 + 347*k**2 + 1391*k\/4 - 1389\/2.\nAnswer: -(k - 1389)*(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -91.5 - -79. Let a = m - 62.5. Let u = a + 75.0045. What is u rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/33 and -31\/1686.\nAnswer: 18546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o**2 + 13235394*o + 14597971194603 = 0. Calculate o.\nAnswer: -2205899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-16)*(-10)\/(-51)*(-41)\/(2706\/132).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 241\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 194*k**2 - 9*k - 50. Let j be q(-5). Suppose -7*i + 54902 - j = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/4? (a) 0.17 (b) 1.61 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 80397 (base 13) in base 16?\nAnswer: 37eff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2345076, -2345139, -2345202, -2345265?\n\"Answer: -63*o - 2345013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-31)\/(-5) - (15 + -9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.14, 5, -423\/7?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of -6*w**5\/5 + 7*w**4\/12 - 3*w. What is the third derivative of n(k) wrt k?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*o + 7*o + 415 = 26*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 66 + -512525?\nAnswer: -512426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 + -5)*474\/(-12). Suppose 6*u = 9*u - w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 80\/12*9\/(-1)*-1. Find the common denominator of ((-123)\/12 + 2)*o\/(-930) and 11\/36.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 3*t - 11 = 0, -5*w = -3*t - 2*t + 35. Let g = -142 - -153. Let s = 6 - g. Sort 5, w, s in decreasing order.\nAnswer: 5, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**2 + 6*x + 5. Suppose 0 = -5*i + 27 + 3. What is j(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 7*a**2 - 2*a - 1. What is the least common multiple of (-28)\/3*12\/14*-1 and b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-12)*(-8)\/(16\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 613 + 253 = 0. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 968\/32 - 2\/8. Suppose 4*q + 5*v - 69 = -19, 4*q - w = 5*v. Solve 0 = 5*p - q*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 93, 160, 227, 294, 361, 428?\n\"Answer: 67*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p - 18. Let z be i(-6). Let a = -320 - -374. Calculate the remainder when a is divided by z\/(-15) + 186\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(104) + (-2*sqrt(104) - sqrt(104)) - sqrt(104)))\/((sqrt(968) - sqrt(968)*1) + sqrt(968)).\nAnswer: 18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -2*c**2 - 4*c - 11. Suppose -2*p - 6 = -p. Let x(s) = -s**2 - 2*s - 5. Calculate p*v(d) + 13*x(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 19*a**2 - 39*a + 159. Let w(q) = -57*q**2 + 117*q - 477. Let k(c) = -11*n(c) - 4*w(c). Calculate the remainder when k(8) is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20) + sqrt(180))*3 + 4)**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1, 4, -9, 38, 0 in decreasing order.\nAnswer: 38, 4, 0, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*r + 3*l = 9*r - 2, 3*r - 5*l - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 205088470*k + 167776578 wrt k?\nAnswer: 205088470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -18*m - 2. Let z be k(-5). Let g be 6\/21 + z\/(-14). Let q = g - -9. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/((-3003)\/22)*-7*3\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -1) + -2 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8597.\nAnswer: 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiziiiiiiiiziiiiii. Give prob of picking 4 i.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -1 - (-10 - -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 49*r**3 - 2*r**2 - 15*r + 3. Let j(n) = -50*n**3 + n**2 + 15*n - 2. Let l(t) = -2*g(t) - 3*j(t). What is the third derivative of l(i) wrt i?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-30)\/4*(-6)\/5. Suppose 4*n - 11 = w. Which is bigger: 22\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 1216. Let h(d) = -d**2. Determine s(h(l)).\nAnswer: -l**4 + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 38721 and 3.51.\nAnswer: 135910.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1034 and 1364.\nAnswer: 64108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 5353, 10700, 16025, 21322, 26585?\n\"Answer: -z**3 - 5*z**2 + 5369*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -5*x + 24. Suppose 0 = -3*w + 1 + 5. What is the highest common divisor of x and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -1 + 13\/((-507)\/(-208))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11060, 7194, 3304, -622, -4596, -8630?\nAnswer: -12736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 20*c + 13599612 - 13601052 for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 8) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 771947 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*z = 59 - 14. Suppose -3*h + 5*v + z = 0, -5*h - 3 = -v - 8. Let l(f) = 12*f**2 - 3*f + 3. Let a be l(h). Solve g = 5*g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 4*h**3 - h**2 - 7. Let g(q) = 3*q**3 - 2*q**2 - 6. Give -7*g(j) + 6*m(j).\nAnswer: 3*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3966471885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 - 66*i - 14. Let f be q(-8). Put -5, 2\/7, f, -2\/19 in decreasing order.\nAnswer: f, 2\/7, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-93)\/12)\/((-30628)\/23712)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-272)\/170*(-402)\/(-24120).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 + 36*g - 311. Determine v(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1*4*(-1 + sqrt(208)) + 4.\nAnswer: -3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 14 + 62. Suppose 3*d - 1420 = f. What is the units digit of (-2)\/5 - d\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= -5\/11270017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((-8)\/(-30))*106764\/(-11439).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -32314 (base 5) to base 13.\nAnswer: -100c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3016*v**2 - 480*v**2 - 925*v**2 to m + w*v**2 + t*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 165 + -63?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 40579?\nAnswer: 243474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of -x**6\/120 - 3*x**5\/16 - 3*x**4\/4 + 1751*x. Let a(t) = 0. What is t?\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*t - 3*u - 30, -5*t - 652558*u + 48 = -652561*u for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Is 72028343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 77563*w**6 - 217*w**2 - 3*w - 2.\nAnswer: 9307560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -746 - -441. Let k = j - -304.999738. What is k rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 205 + -48. Suppose -w = -13*q - 53. Let l(m) = -m**3 - 3*m**2 - 4*m + 4. What is the lowest common multiple of l(-4) and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 399\/10 - 1504\/35. Let m be (-3 - (-123417)\/14190) + -5 + 8. Let k = m - -6\/2365. Find the common denominator of k and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3454*d*n*t**3 + 2*d*n*t - 144*d*t**3 + 12*d*t - 2*d wrt n.\nAnswer: 3454*d*t**3 + 2*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*g - 55*g + 3*g + (g - 4*g + 2*g)*(-4 + 8 + 1).\nAnswer: -61*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of s**6\/120 - s**5\/20 + s**4\/8 - s**3\/6 + s**2\/2 + 11*s. Let v(k) be the first derivative of q(k). What is z in v(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-91 - 58 + 60)*(0 + 0 - 2*g) to the form x + k*g and give k.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**6*l)\/(l*l\/(l*(l\/(l**(-1\/4)\/l))\/l))*(l\/(l*l**0\/l))**(-21) assuming l is positive.\nAnswer: l**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pxp when three letters picked without replacement from puqqpxguxxpppupgugp?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/q**(-2))**(-7))**(-2\/171))**(-39) assuming q is positive.\nAnswer: q**(-182\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -858619970 rounded to the nearest one hundred thousand?\nAnswer: -858600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 338, -1382 in increasing order.\nAnswer: -1382, -4, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -27*o. What is the units digit of c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v - 3. Let u be j(5). Let i be 2 + ((-9)\/(-3) - u) - -19. Let a be (-1)\/(-2)*47 - 0\/i. Which is smaller: 23 or a?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-18)\/14 + 3\/3. Let j be ((6\/(-5))\/3)\/(8\/(-10)). What is the nearest to 2 in j, d, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 847523.1 micrometers?\nAnswer: 0.0008475231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qpx when three letters picked without replacement from ttxqtxpxpppttpptttt.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o - 1. Let x be i(0). Let p be x\/(2\/(-8)*2). Solve a = p*n + 5, 7 - 1 = 2*a - 3*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1887 = 3*i + 189*c, -2*i + 133*c = 136*c - 6 - 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -747 + 789. Let w = 67 + -18. Let b = w - z. What is the remainder when 17 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 422622593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10326.96 - 10075. Let d = m - 252. Which is the closest to 3\/5? (a) -2\/9 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7682591893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13*h**2 - 2167*h + 2259*h + 11*h**2 wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 245 + 35 = a + 4*b, 3*b = 4*a - 1177. Let p = 466 - a. Let h = -100 + p. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.28, 1\/3, 3\/4, -1, 0.09 in descending order.\nAnswer: 3\/4, 1\/3, 0.28, 0.09, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j + 11. Let d be l(5). Suppose -2*k + d = 0, -h + 2*h - k = 42. What is the units digit of 30 + h\/21 + (-1)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p**4\/4 - 595*p**3 - 88965*p**2\/4 + 45675*p\/2 = 0. What is p?\nAnswer: -435, -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 27285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + sqrt(13) + (-1*sqrt(65))\/sqrt(5) + (sqrt(468) - (sqrt(468)*2 + sqrt(468) + sqrt(468))).\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10.9 - -11. Let d = -49.74 + 53.74. Let q = 119\/3 - 40. What is the nearest to y in q, d, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**4*(o\/o**(-9))\/o*o\/(o*o*o**(1\/2))*(o*o*(o\/(o*o**(-3\/4)))\/o*o)\/o assuming o is positive.\nAnswer: o**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003054 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 201 * -190\nAnswer: -38190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - 1) + (-136)\/(-40)*25. Calculate the greatest common factor of w and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, j: 1, y: 4, k: 1, z: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*n - 17466 = -37*n. Which is bigger: n or 208?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 359\/66 + -83\/22. Let b(x) be the first derivative of 0*x + 3 + t*x**3 + 0*x**2. Let i(j) = -2*j. What is i(b(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -824 (b) -2\/17 (c) 1 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 4547, 4544, 4541?\n\"Answer: -3*i + 4550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 5*x, -5*s = -82 + 107 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39470038.\nAnswer: 2, 131, 150649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(35)\/sqrt(7) - (-3 + (sqrt(5) - sqrt(50)\/sqrt(10))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 1 = 4. Let g(p) = 41*p + 12. Is g(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/7 - (13 + 2286\/(-189)). What is the closest to -3 in a, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 33, 153, 405, 837, 1497, 2433?\nAnswer: 3693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -36*g - 2485. Give s(-75).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 168800?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 94*j - 240*j + 368 - 216*j.\nAnswer: -362*j + 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-30)*(-186)\/31.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 3, j: 1, h: 2, g: 1, l: 3, p: 7}. Give prob of picking 1 h and 3 l.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1166, -1173, -1194, -1235, -1302, -1401?\n\"Answer: -l**3 - l**2 + 3*l - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 4.05. Let x = -2.95 - t. Sort 4\/5, x, -2\/5.\nAnswer: x, -2\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -413 - -680. Let g = s - 267.001136. What is g rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -173 - 834*r**2 - 1262*r**2 + 171 to m*r + w + k*r**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/(-2) - (-7608)\/1632. Let a = -92\/17 + t. Let -147\/4 + 21\/2*y - a*y**2 = 0. What is y?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -783\/1358 - -1\/194. Let h = 31.4 - 23.4. Which is the second biggest value? (a) t (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -23 + 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/3)*t\/(t\/t**2)*t\/t**(-2\/13)*t\/(t*t**4))**(-4) assuming t is positive.\nAnswer: t**(184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 557652 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -98*t + 47*t - 7 + 47*t - 55*t**2 + 7 in the form c*t + z + h*t**2 and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 6828 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, y: 2, t: 1, q: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bxw when three letters picked without replacement from {x: 5, b: 4, k: 1, w: 3, e: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.0493 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of b**7\/840 + b**6\/180 - b**5\/24 - b**4\/8 - b**3\/3 + 12*b**2. Let u(w) be the first derivative of t(w). Calculate u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 c when four letters picked without replacement from {c: 4, a: 6, z: 1, r: 1, l: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 8. Suppose -4*s = -b*s - 6. Solve -5*w + s*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.418875 decades in centuries?\nAnswer: 0.0418875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 + 0.99. Let w = -0.01 - l. Let q = -4.034 + 0.034. Is q at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22 - 12) + -9 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**3 + 4*q**2 - 6*q - 7. Let g be o(-5). Calculate the common denominator of -76\/9 and g*(-10)\/(-105)*-10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*b - 2*b - 150. Let k be (300*17\/51)\/((-1)\/(-2)). Suppose -b = -y + k. What are the prime factors of y?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrperarerreaaeperar. What is prob of sequence rrap?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*f**2 + 32*f**2 - 8 + 3.\nAnswer: -10*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -b. Suppose 3*f = 4*h + h + 37, 2*f - 3*h = 25. Suppose b = -5*x + f + 121. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -3, 11, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 81248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 312967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 333408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/5 + 7123624*a\/5 + 6343252361672\/5.\nAnswer: 2*(a + 1780906)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be (13 - 1)*2\/6. Suppose 7 = z*a - 5. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 59*g**4 + 22*g**2 - 2*g - 8274 wrt g?\nAnswer: 236*g**3 + 44*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xssqfsfffs. What is prob of sequence fx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 77911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the third derivative of x**5\/60 + 5*x**4\/24 + x**2. Suppose 5*i + 11 - 31 = 0. What is the smallest common multiple of g(-6) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 20 = 3*y. Let m be (2\/y)\/((-1)\/(-6)). What is the third derivative of -5*u**3 - 2*u**5 + 2*u**2 + 5*u**m wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -8*s - 8*s + 10 + 21*s - 6*s. Let i be h(7). Solve -4*m = -20, o - i*o - 3 = -m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (8\/4)\/(-4 - -19). Which is the second smallest value? (a) -1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j + 7. Let l(z) = 6. Let p(r) = -4*g(r) + 3*l(r). What is the tens digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 2*m**3 - 8*m**2 - 2*m + 6. Let s(z) = z + 13. Let d be s(-9). Let w(g) = 1 + d*g - 4*g + g**2 - 2. What is -k(y) - 6*w(y)?\nAnswer: -2*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6515?\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z, 2*z = -x + 7*z + 549. Calculate the remainder when x is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 229*z**3 - 29*z**2 + 194*z**3 - 28*z**2 + 57*z**2.\nAnswer: 423*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 214443961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1315648159.\nAnswer: 7, 187949737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-47)\/(-9) + (-30)\/135.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -8 + 10 + -4 + -3 + (3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the third derivative of w**6\/120 + w**5\/12 - 5*w**4\/24 + 2*w**3\/3 + 4*w**2. List the prime factors of s(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/496 and -115\/12.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -14*z + 438. Suppose 3*p - 6*p + a = -14, 0 = p + 5*a - 26. What is the remainder when u(30) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f - 18. Let v = 13 - 24. Let m(j) = j**3 + 12*j**2 + 11*j - 16. Let g be m(v). Calculate the lowest common multiple of q(g) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, c: 3, b: 5, t: 8, j: 1, z: 2}. What is prob of sequence bb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o = -14 + 32. Let a(h) = -38 + 71 - 34 + 5*h**2 + o*h. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 162 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -66 + (23 + -1 - -31).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + q**3 - 165*q - 6632*q**2 + 2 + 13339*q**2 - 6707*q**2.\nAnswer: q**3 - 165*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -19.91 times 3?\nAnswer: -59.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**4 + 5*r**3 - 5*r**2 - 9*r - 4. Let x(m) = 5*m**3 - 5*m**2 - 10*m - 5. Let o(b) = -5*d(b) + 4*x(b). Solve o(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 30*x + 115. Let r(p) = 10*p - 54. Let w be r(6). What is the units digit of g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 44387841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 616.7597 weeks?\nAnswer: 373016266560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1927 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 17*h**2 + 15*h - 14. Let z be d(-16). Let p be -4 - (8 + -14)*z\/3. Let 2\/3*x**4 + p + 2*x**2 - 2\/3*x - 2*x**3 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*w + 10*w - 20*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/22 and 70\/(-32) + 15\/10.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/51163 or 0.06?\nAnswer: -2\/51163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttqo when four letters picked without replacement from ttqqqqtqo?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-93)\/(-36) - 1\/6) + -2. Let n(r) be the third derivative of -9*r**2 + 0 + w*r**4 + 8\/3*r**3 + 0*r. What is the first derivative of n(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 + 6*u - 6. Let y(t) be the third derivative of t**2 + 0*t - 1\/6*t**3 + 0 - 1\/60*t**5 + 1\/24*t**4. Let o(w) = f(w) - 6*y(w). Determine o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 13\/39*(-15)\/40. What is the nearest to -3 in q, 5, 9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 37495, 37585, 37675, 37765?\n\"Answer: 90*q + 37405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -11 and 16305439145512.\nAnswer: 16305439145501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 3 = -2*g. Let h be (g + -21)\/(1*-1). Suppose -345*u = -389*u + 5024 + 4656. Calculate the highest common factor of h and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2817 + 22*s**3 - 2821 + 5638.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 2*q - 3 + (-4*q - 2*q + 5*q)*(0 - 6 + 4) - 11*q + q + 3*q - 598*q - 8565 + 8565 to the form v*q + x and give v.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 6 - 2 - 15*v)*(-2*v**3 - 3 + 3)*(24 + 13 + 0).\nAnswer: 1110*v**4 + 148*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1499094*z**5 + z**4 + 8894526*z**2 wrt z?\nAnswer: 89945640*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o + 1. Let l(y) = -y**3 + 3*y**2 + 17*y + 1. Let i be l(6). Let t be a(i). Put t, 0, 5, -6 in decreasing order.\nAnswer: 5, 0, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 (base 11) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**2 - 3*a + 1. Suppose -p - 9 = -2*p. Let f = 7 - p. Let j(t) = 1. Give f*j(d) + z(d).\nAnswer: 2*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 5*y + 106 + 17, 3*y = 3. What is the first derivative of -o**2 + 360 + o**2 + c*o**3 - 348 wrt o?\nAnswer: 177*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 32*b + 21. Let x be m(9). Suppose 0 = 3*v - c - x, 3*c + 0*c = -9. Suppose -v = -4*r + 46. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 6*o = -5*o - 18, -5*h + 3*o + 16 = 0. Calculate the greatest common divisor of 485 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 3*i + 16 = 0, 2*w - i = 2*i + 13. Let p be -52 + (2 - -1) - w. Let y = p + 70. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-2))\/(4 - 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -123753 divided by 5893\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 20 = -12*y + 7*y, 0 = 4*i - y + 4. Let k(g) = -g - 2. Let p be k(-2). Which is the closest to p? (a) i (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/5*(-580)\/348.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the third derivative of 5*l**8\/28 + l**5\/30 - 179*l**4\/4 - 992*l**2. What is the second derivative of f(j) wrt j?\nAnswer: 1200*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1 - -12) + (-364553)\/33117)*-3?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -5*y + 10*y + 279, 0 = -3*j + y + 386. Suppose 0 = -5*g + j - 52. Calculate the remainder when 72 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q - 2. Let x be d(2). Let p(h) = -h**3 + 5*h**2 - 5*h. Let y be p(4). Sort 3, y, x in ascending order.\nAnswer: y, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149812592 is divided by 542.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -d925 (base 14) to base 6\nAnswer: -445245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -o**5\/25 - 1729*o**4\/30 + 2308*o**3\/15 - 4884*o**2. Factor d(i).\nAnswer: -4*(i + 577)*(3*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.036? (a) -36 (b) -0.09 (c) -2.4 (d) 2 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 4*f + 387 = -8*f, 0 = 5*v + 4*f - 403. Let u = 82 - v. Suppose 5*c - 119 = -5*i + 231, u*i = -2*c + 210. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12.9 + 17. Let n = a - 3.6. Sort n, 0.1, -1\/3, -0.1.\nAnswer: -1\/3, -0.1, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 5*f - 1 + 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1470)*3)\/((1*(sqrt(480) + sqrt(30)))\/sqrt(3)).\nAnswer: -42*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 77305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -385826064 by -6.\nAnswer: 64304344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t**2 + 1644*t + 110701. Determine c(-748).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 2*m**2 - 23*m - 185. Let z be a(-6). Let t = -14 + 12. Let s be t + (4 - 0 - 0). Solve s*i = 7*i + z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {q: 5, f: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3\/2 - -1. What is the third biggest value in 0, d, 27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -6*g**2 + 6*g - 1. Let c(d) = -5*d**2 + 6*d - 2. Let q(a) = 5*c(a) - 4*x(a). What is q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152)*-3*-5*-1)\/(sqrt(288) - (-2*sqrt(288) - sqrt(288)) - -4*sqrt(32))*-3.\nAnswer: 45*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 61\/455838?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 34928947243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {x: 1, y: 4, u: 2, c: 7}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2 - 1)\/(2\/14). Let l = g - 4. Suppose 5*h = 5*z - l*z - 21, -h - 25 = -2*z. What is the remainder when 25 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (x - x + x + 0*x - x - x + (6*x - 1 + 1)*(-2 + 1 + 2) + (-9 + 7 + 8)*(0*x + 0*x + 2*x))*(12*x - 7*x - 14*x).\nAnswer: -153*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/420*-10 - (-170)\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) 78\/5 (c) -2\/7 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-4)\/6)\/((-2)\/15). Suppose 0 = -4*a + 2*h + 36, -3*h = -4*a - c + 43. Solve 4*r + a = 0, 4 = 2*j - 4*r - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of w**4 - 146889*w**2 + 3769952?\nAnswer: 4*w**3 - 293778*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the third derivative of -y**6\/120 + y**5\/20 - y**4\/12 - y**3\/6 - 3*y**2. What is l(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -3*p - 3. Let m(i) be the second derivative of -i**3 - 3*i**2 - 20*i. Determine 4*m(a) - 9*r(a).\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 - 6*j + 2. Let o(d) = d - 1. Let r = 276 - 275. Give r*b(a) + 6*o(a).\nAnswer: -a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 - -61?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1806, -1803, -1802, -1809, -1830, -1871?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) - sqrt(91)\/(sqrt(7)*1)) + 2*sqrt(52)\/sqrt(4) - (sqrt(13) + sqrt(1053)*2 + (sqrt(65)\/(sqrt(5) - 1*sqrt(5) - sqrt(5)) - sqrt(13))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 329 = -4*w, w + f - 54 - 22 = 0. Suppose 18*a - 17*a = w. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 44213 + -36215. Is j a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the second derivative of 7*t**4\/6 + 54*t. Let l(s) = -9*s**2. Calculate l(w(r)).\nAnswer: -1764*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f**3 - 3*f**2 - f + 2. Let s be u(2). Suppose 3 - 1 = a. Let h(z) = -s + z**a - z + 5*z - 2*z - 4*z. What is h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00064189995 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 231 - 4*j**2 - j**2 + 125 + 41.\nAnswer: -5*j**2 + 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/6, 236, -14236, -3 in increasing order.\nAnswer: -14236, -3, 5\/6, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-4) + (-36)\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pdf when three letters picked without replacement from {p: 4, f: 1, a: 8, g: 1, d: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0805 - -0.097. Let z = c - 0.017807. Round z to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 250 = -252. Solve x*l = -4*z + 10, 5*z = z + 4*l - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 98 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 6*y - 2 = 0. Suppose 0 = -3*m + 5 + y. Suppose 0 = 3*h + m*h - 110. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14221*c**2 + 4499 + 23598*c**2 - 4497.\nAnswer: 37819*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 305995 by -5.\nAnswer: -61199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + (-170)\/(1 + 16))*(2 + -7).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 106, -4, -3, -5 in descending order.\nAnswer: 106, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -254411.198 - -253932. Let t = 0.198 + f. Let a = t + 478.9999761. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75647549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -13*i**3 + 4*i**2 - 4*i - 1. Let y(h) = -5*h**3 + 2*h**2 - 2*h - 1. Give -2*g(j) + 5*y(j).\nAnswer: j**3 + 2*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*z - 1837 = 143*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 3*r**2 - 1 - 3*r**2 - 6*r**2 - 6*r**2 + (2*r + 2 - 2)*(1 - 3*r - 1) + 4*r**2 - 3*r**2 - 2*r**2 in the form q*r + w + i*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 172872819 from 2404.\nAnswer: -172870415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-42))\/(3\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose 14 + 2 = -4*o. Which is the closest to 1? (a) 0.4 (b) o (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0747143 micrometers in kilometers?\nAnswer: 0.0000000000747143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 14*a + 52. Let i be r(-5). Which is bigger: i or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*v + 50*v - 41 = l, 19 = 2*v - l. What is the remainder when 2459 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (124 + 11*f**3 - 124)*(f - f**2 - f).\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 909.6254km?\nAnswer: 90962540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (2 - 56) + -3378 + 3402\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1112 + -3?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6313 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be 30\/((-6)\/10 - -1). Suppose 4*d = -i + a, -4*d - d + 95 = i. Calculate the remainder when d is divided by (-1)\/(-2)*-5*(-82 - -76).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3397 and 7416283.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 4)*((21 - 26 - 17)*(-1 - 6 + 1) - 1 + 3 - 3)*(-l**2 + 0*l**2 - l**2).\nAnswer: 262*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1099 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 16 = u, 0*u - 2*o - 26 = -u. Let i = -12 - u. Is i\/(-6)*(1 + 8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(104) + -1*sqrt(104))*-3 - (5*sqrt(104)*-4 + sqrt(104)))\/(4*sqrt(88)\/(sqrt(704)*-1)) + 4)**2.\nAnswer: -304*sqrt(13) + 18788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssvm when four letters picked without replacement from {o: 9, m: 3, s: 4, v: 4}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7737690657682599.49999876 - 7737691056725516. Let s = m + 399042923. Let r = -6.5 + s. What is r rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, i: 2, g: 4}. What is prob of sequence ik?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*a - 6*a + 5. Suppose -2*b + 2*u + 48 = -u, -5*u = -3*b + 72. Let i = b + a. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1371644699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -574\/3 - -23525\/123. Sort 5, 0, g in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + (8 - 6) - (-8 + 0 - (-117 - -19)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -223*c - 28960 + 5545 = 0 for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange b + 2*b**4 - b + (0 + 0 + b**4)*(1 - 3 + 1) + b**4 + 36*b**4 - 11*b**4 to d + c*b**4 + u*b**2 + s*b + q*b**3 and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*(u\/((u**(3\/5)\/u)\/u))\/u)**11*u\/(u*u\/((u*u**8\/u*u)\/u)*u)*u*u*u*u*u**7\/u)**(2\/47) assuming u is positive.\nAnswer: u**(424\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1595b9 - 2?\nAnswer: -1595bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -4*n - g + 18, 5*n - 15 = -5*g. Let w be (3171204\/(-15))\/(-3)*n. Let y = w - 112356. Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 11:35 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1335 - 1335. Let s(n) = -2*n + 2. Let h be s(-4). What is the nearest to -1 in 2\/7, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t = 24*t + 170. Let s be (16 + -13)*(2 - t\/(-6)). Let i(c) = -c**3 + c**2 + 4. Let g be i(0). Solve -4*r - 4*b = -4, 0 = -5*r - 3*b - s - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -74112 times -12?\nAnswer: 889344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66)*2*6)\/(((sqrt(6) + sqrt(12)\/sqrt(2))*2 - sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20? (a) -1 (b) 0.03 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 116957478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -31321210 (base 4) in base 12?\nAnswer: -28b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 5*r - 15 = -3, 0 = -2*u + 2*r - 6. Let o be -2 + 4 + 2 + -2. Suppose 6 - 2 = -o*v, 0 = -4*g - 4*v - 12. What is the nearest to g in -1\/2, u, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 20 = 4*c, 0 = -5*c - 2*i - 4 + 12. Solve 8*n - 2*n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 479.502643 and 0.4?\nAnswer: 191.8010572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 223, 2092, 7235, 17290, 33895, 58688?\nAnswer: 93307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 AM and 3:32 PM?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qsfufcff. What is prob of picking 3 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.1022 times -2515\nAnswer: -257.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4019 - 4017. Which is the closest to -26? (a) -1 (b) 0.8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 3:14 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/(-4)*-2 - 38. Let m = -20 - k. Solve -3*g = -0*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*o - 38, c + 2*o = -4 + 6. Let v be 30\/(-12)*c\/30. Which is greater: v or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*y - 2*n + 28 = 0, 62 = 3*y - 2*n. Calculate the common denominator of ((-3)\/6)\/(y\/292) and -101\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/64 - -7) + 2*-3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2417704 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -25 + 5*r + 11*r**3 + 25 - 7*r**2. Let g(h) = 7*h**3 - 5*h**2 + 3*h. Let j(k) = 5*b(k) - 7*g(k). Find the second derivative of j(a) wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1595 a factor of 160347614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 102220230 (base 4) to base 2.\nAnswer: 10010101000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -71 - 464?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/16 and 25\/20*(-27)\/60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -114 times 5005.954?\nAnswer: -570678.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 90956.\nAnswer: 90956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.01526 and 9.1.\nAnswer: 0.138866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1674*t - 151500 = 699*t - 3723*t + 27024 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**2 + 12*c + 33. Let u be w(-3). Suppose -696 = -2*s - u*s. Which is smaller: 86 or s?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 32\/(-18)*(-2304)\/512\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2. Let k(v) be the second derivative of -5*v**4 + 10*v**2 + 6966*v. What is k(h(b))?\nAnswer: -60*b**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -37528394.2 rounded to the nearest ten thousand?\nAnswer: -37530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 58 and 21866.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t = -908 + 928 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-74)\/(-53))\/((-268)\/1742) - 8\/(16\/(-18)).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 23*j**2 - 124*j + 16. Give h(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26311365 divided by 15.\nAnswer: -1754091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-106)\/((-136740)\/43)*-42\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2*b - 13. Let z be y(9). Suppose -2*f + z*f + 145 = 4*l, 19 = l + 5*f. Suppose -i - 2 = -p, 0 = -i - 5*p + l - 12. Solve i*q - 5 = 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -441*i**2 + 270*i**2 + 235*i**2.\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -7*r**3 + 2*r**2 - r + 1. Suppose -4*q - 3*j - 21 = -q, -4*j = -4*q - 20. Let n be (4\/q)\/((-3)\/(-9)). Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -3*p + 112726 + 16447, 2*z = 4*p - 172230. List the prime factors of p.\nAnswer: 7, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of (38\/(-76))\/(1\/(-392))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4863144 and 28340.\nAnswer: 24315720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -343 + 695. Suppose -o = u - 3*u + c, 3*u - 538 = -o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*k + 34*k - 900270 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 130 and 16496545?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1507236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 5*v - 30, -75*q + v - 12 = -76*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 372612271.\nAnswer: 29, 743, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*s - 3*b - 12, -5*s - 4*b = -20. Find the first derivative of -3*k**4 - k**4 - 8*k**4 - 5*k**s - 49 wrt k.\nAnswer: -68*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37.54252748259 take away 0?\nAnswer: 37.54252748259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3798480 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + 0. Suppose -2*x = -7*x. Suppose -q*v = -16 - x. Solve -3*s = -v*c - 7, 0*s - 5*s + 15 = -5*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3\/5 - 16*u**2\/5 - 41*u\/5 - 26\/5.\nAnswer: -(u + 1)*(u + 2)*(u + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -18 * 13.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11 and 771?\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, r: 3, x: 13}. Give prob of picking 3 r and 1 x.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 148*s**3 + 14*s - 147*s**3 - 11*s - s**2 + 53 to the form i*s + w*s**2 + c*s**3 + b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 212121?\nAnswer: -212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19622 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7 and 2048?\nAnswer: 14336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.293 - 0.243. What is the nearest to a in 0, 3\/4, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*-676293.\nAnswer: 3381465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 - -715?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 24 = -96. Suppose -5 - 7 = -g - 4*t, 2*g - 5*t = z. What is the remainder when 46 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*r - 579 = -598 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/14)\/v)**1*(v\/v**(2\/11))**49 assuming v is positive.\nAnswer: v**(6031\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*f*y**2*z - 5*f*y**2 + f*y + 466*f*z - 497*f + 184355*y**3*z - y*z + 14*y wrt y.\nAnswer: 14*f*z - 10*f + 1106130*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -825, -829, -833, -837, -841?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2268) + 1 - sqrt(2268))*4 + -1 + sqrt(1008) + sqrt(63) + sqrt(252)*1 + sqrt(63))**2.\nAnswer: 144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7)\/((-14)\/6) - -5. Let t(b) = -2*b**2 + 5*b + 3. Let i be t(2). Let a(z) = 5*z**2 - 22*z**2 + 16*z**2 - i*z + 5 + 12*z. Give a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*p + 6273 = -8239. Let c = p + -566. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -89019, -89021, -89023, -89025, -89027?\n\"Answer: -2*w - 89017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + (3 - 1) + -2. Let n be -1 + -2 + 3 + 1\/2. Find q, given that 1\/2*q**2 - q - n + q**g = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -6 + (2 + -2)\/1. Let t be 4\/h*(-45)\/(-6). Let u(b) = 2*b**3 - 2*b**2 + b + 2. Let m(w) = 4*w**3 - 5*w**2 + 3*w + 5. Determine t*u(p) + 2*m(p).\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (5\/((-525)\/(-12)))\/((-4)\/(-20))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 18*o. Let i(m) = 30 - 8 - 2*m - 22. Calculate i(a(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1.26 + -34\nAnswer: -35.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, z: 5, v: 1, r: 3, f: 1}. What is prob of sequence vrzz?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, z: 4, a: 1, d: 1, n: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 204*g**2 - 15*g + 10*g + 5*g + 0*g.\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kcp when three letters picked without replacement from csdpk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 9*x - 2*x. Let h(u) = 0 + 0*u**2 - 1 - u**2 + 2*u**x. Let i(m) = 5*m**2 + 12*m**2 + 6 - 23*m**2. What is -8*h(v) - i(v)?\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q - 2. What is the tens digit of (-120)\/(-8) - q\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -119175 less than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 161 = 7*c - 4662. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1218892925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -168293\/59 or -2853?\nAnswer: -168293\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 900 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 39*r**2 + 3*r. Let d be m(-3). Let o = d - 209. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (139568\/(-13420))\/(21*4\/(-30))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 2 j when four letters picked without replacement from {j: 3, n: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 65 and 67611921?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4640 + -4109. Calculate the greatest common factor of y and 7257.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20966124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (49*r**2 - 3*r**2 + 40*r**2)*(3 + 0 - 24*r - 3) to p*r**2 + j + h*r + w*r**3 and give w.\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 305254 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*x + 13215 = 3886. Suppose -3 - 1 = -2*r. Suppose -r*y + x = -399. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.5*-0.18.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 65*g + 967. Calculate m(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 70395 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: Simplify ((i\/(i\/(i*i**4))*((i*i*i\/(i\/(i*i**0))*i*i)\/i)\/i)**37)**(3\/37) assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 85*j + 34. What is the units digit of m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/9*6)\/(-25 + -1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 + 28*p**2 - 28*p + 25. Let i = -53 + 24. Let g be w(i). List the prime factors of -4*-129*(12\/g)\/(-12).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*(q*q**(1\/9)*q)\/q*q**(3\/2) assuming q is positive.\nAnswer: q**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 88774, 88775, 88776, 88777, 88778, 88779?\n\"Answer: j + 88773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 32*o - 34. Let t be z(-23). Let d = t + -856. Let p = d + 3036. Round p to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 5*b - 7. Let v(p) = p + 4. Let a be v(0). Suppose r + 4*g = -a + 2, r = -g + 4. Is s(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-152)\/285)\/(2\/(-5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1524 - 25050?\nAnswer: -23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 5*s - 39 = 10, -5*q - 4*s = -51. Let g be 2\/q + (-210)\/(-55). Let b(m) = m**3 - 4*m**2 + 5*m - 5. Determine b(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 931 is divided by 109.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 divided by 36422034.\nAnswer: -2\/6070339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 3*k - 3841 - 259, -5495 = -4*k - 3*u. What are the prime factors of k?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 2*m + 18, g + 30 = -4*g - 4*m. List the prime factors of 518\/21 + 4\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 19 + -15. Suppose t*y + 168 = 8*y. Suppose 7*v = y + 308. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g\/(g\/(g*g**(-6\/7))))*g*g)\/g*(g**12\/g)\/g assuming g is positive.\nAnswer: g**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -0.5, 258\/4075, 0?\nAnswer: 258\/4075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32\/99 + -6\/11. Let g = 212.1 + -220.1. What is the biggest value in -0.1, -4, l, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (179*s**2 - 137*s**2 - 85*s**2)*(0*s - s**2 + 0*s) + (s + 2*s - s)*(6 - 6 - s**3).\nAnswer: 41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 81 = 5*a, -4*m = -m + 5*a + 62. Let u(c) = -2*c**2 - 42*c - 80. Calculate u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*r = 44*r - 18. Which is bigger: -112\/45 or r?\nAnswer: -112\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -t - 10 - 31*t**4 - 15 - 33 - 3 wrt t?\nAnswer: -124*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13653175 is divided by 1010.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -6 times -18\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 165 and 78.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 171 - 176. Let s be -10*1*(7 - (-424 + o)). What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 PM and 9:47 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be 18\/(-72) - 2\/(-16). What is the nearest to 0.2 in c, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -242802*q**3*w - 27994*q*w - 2*w wrt q?\nAnswer: -1456812*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 456 (base 14) to base 10\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 5, v: 2, c: 8, h: 1}. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {c: 2, s: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37 or -179\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (-2 - (3 + 5)) + 868 + -856?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.8 and 0.11.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4796960252?\nAnswer: 2, 7, 53, 163, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 104821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 2. Suppose h - 10 = -q. Let x = -621 + 629. Solve 4 = -h*z - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**3 - 1634938*m**2 - 334140044678*m - 5011732815870 = 0. What is m?\nAnswer: -408727, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 39 (base 14) in base 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 78424, 78456, 78488, 78520, 78552, 78584?\nAnswer: 78616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 8:08 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, -0.3, -1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 + 2201001130032?\nAnswer: 2201001130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -20 - -1214?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14042 and 35054068.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -61*l**2 - 40*l + 2 wrt l?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/(-7) + 67\/7. Suppose -15*y + x + 17 = -13*y, 19 = y + 3*x. What is the highest common factor of y and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of -b**5\/10 - 5*b**4\/4 - 3*b**2\/2 + 1239*b. Let i(x) = 7*x**3 + 59*x**2 + 11. What is 22*h(f) + 6*i(f)?\nAnswer: -2*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -40f + 62?\nAnswer: -3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2344677546 + -14912149089731\/6360. Let i = y - 3\/2120. Calculate the common denominator of i and 26\/(-48) - 2 - -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1293 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*z**2 - 113 with respect to z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 2852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 1598*t + t**3 + t**4 - 2*t**3 - 1594*t - 2 - 2*t**4 as k*t**2 + v + l*t**3 + o*t**4 + c*t and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3212 - 0.25.\nAnswer: -3212.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.8 and 32.63994.\nAnswer: 30.83994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/36 - 4010\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 18*y - 18. Let i(x) = -17*x + 17. Let f(k) = -5*i(k) - 4*l(k). What are the prime factors of f(11)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*v = 2*l - 11*v - 2082, -3*v - 1057 = -l. What is the greatest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**3 + f**2 + f - 1. Let k(q) = -4*q**3 - 9*q**2 - q + 10. Let d be -1*((-6)\/(-2) - (4 + -4)). Let w(j) = d*y(j) - k(j). Determine w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1 + 115*r**3 + 9*r**4 + 0 + r - 113*r**3 in the form s*r**2 + j*r**3 + c + w*r**4 + p*r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 + k**2 + k - 1. Let o(t) = 2*t**3 + 3*t**2 - 2*t - 3. Determine -3*h(p) + o(p).\nAnswer: 5*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4, s: 5, m: 2}. Give prob of picking 2 v and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6247251 and 1.\nAnswer: 6247251","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let b be ((-6)\/10)\/(1\/(-5)). Let p(l) = -l + 6. Let u be p(2). Is u <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-308)\/(-77) + -1 + 1 + -3. What is the closest to 4 in 1\/5, -0.4, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -4. Suppose -o*l = 2*l + 100. Let u = 39 + l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11.21 + 0.25. Let r = k + 8.96. Let p = 2\/197 - 424\/2955. Which is the biggest value? (a) 0 (b) 4 (c) p (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -286 = -13*b + 5*x, -3*b + 66 = 961*x - 965*x for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 73 + -73. Factor 0 + r*o + 2\/3*o**3 + 0*o**2.\nAnswer: 2*o**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3*x**2 - 87*x - 84. Calculate s(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(34)\/sqrt(2) + (sqrt(17) - (sqrt(68)*1 + sqrt(68))\/sqrt(4)) + 2.\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00017371 to six decimal places.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3222271\/8 + 405235. Let o = -2442 + w. Let p = -4203 + 58879\/14. Find the common denominator of o and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73214.\nAnswer: 2, 36607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -35921 bigger than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -501 + 494. Let q be l\/(-9) + 146\/657. Solve 3*t = -4 + q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x + 12 - 117. Suppose -93 = -0*a - 5*a + 4*o, 0 = 4*a + 2*o - 90. What is the greatest common factor of x and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x + 3*g + 54 = 0, 55*x - 52*x - g - 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -725, 75, 875, 1675?\n\"Answer: 800*i - 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 541, 529, 503, 457, 385, 281, 139, -47?\n\"Answer: -k**3 - k**2 - 2*k + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -4*o - 3. Let m(h) = -9*h - 7. Let v(x) = -6*m(x) + 14*r(x). Let p(q) = q**2 - 6441*q + 6441*q. Calculate p(v(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5670, 11347, 17024?\n\"Answer: 5677*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3312 + -23?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 18 = 2*c, -4*o + 2*c - 5*c + 13 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-74))\/((-35)\/2555) + 21 + -19.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of -w**3\/6 - 46*w**2. Let q(v) = -2*v + 2. What is 3*l(y) + q(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 21 by -2.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1687 + -1686.5. What is the second biggest value in 1, -1.6, d, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand g + 2*g + 1 - g + (0 + g + 0)*(9 - 1 - 63) + g - g - 3*g.\nAnswer: -56*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 6*a = 0. Let h be (a + 1\/(-1))\/(-1). Let l be (-106)\/(-6) + h\/3. Calculate the greatest common factor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6025.997171 + -6026. What is s rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38178 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 583*w**3 + 601*w**3 - 2349*w**3 + 615*w**3 + 585*w**3.\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 58629 (base 10) to base 16\nAnswer: e505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1610 * 8\nAnswer: 12880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1101110111110010010 (base 2) to base 6\nAnswer: -13424214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 1:47 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -554 (base 7) to base 4.\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 8*j + 16 - 19 - 3*j + 11. Let h(f) = f + 2. Calculate -9*h(n) + 2*q(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 - -195. Suppose -5*w - 20 = 0, n + 145 = -5*t - 5*w. Let y = 164 + t. Calculate the highest common divisor of y and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 245315 (base 6) to base 12\nAnswer: 1083b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 5750075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -48*r - 378. Give m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, n: 2, y: 8, d: 2}. What is prob of sequence yny?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-16)\/(-3) + (-11)\/77*35. What is the nearest to 0 in 26, m, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 280729898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/2280 and 79\/416480.\nAnswer: 1249440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1090274833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the second derivative of 173*j**6\/6 - j**5\/20 - 4879*j**2\/2 + 187*j + 26. Differentiate n(x) wrt x.\nAnswer: 3460*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5, z: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 82081 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/16 of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + -1.2. Let z = 3.9 - 3.849. Let n = z - 0.551. Which is the nearest to 0.4? (a) n (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -22373 or -3555?\nAnswer: -3555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1536 - 1381. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -24 + 39. Let o = 15.0011 - f. Round o to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -49\/3 + 16. Let p(y) = -y**3 + 9*y**2 - 7*y - 6. Let q be p(8). Let n be q\/(-110)*2*-5. What is the second smallest value in 3, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34 = u + 46 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1110 (base 3) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - -2. Let y = o + -3.9. Let x = 9 + -9. Which is the second smallest value? (a) y (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**3 + 29*w**2 + 27*w - 10. Calculate g(-13).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, 25, -9, 0.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 107*-471.\nAnswer: -50397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01202389175 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1070 and 642.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -261534, -261535, -261534, -261531, -261526, -261519, -261510?\n\"Answer: n**2 - 4*n - 261531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-198)\/216*(-12)\/1038 and -17\/18.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9\/7, 1\/6, 10, -3, 0.1, -2\/13 in descending order.\nAnswer: 10, 9\/7, 1\/6, 0.1, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p**2 - 2509*p - 895*p + 382*p - 2.\nAnswer: -p**2 - 3022*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 498 divide 131124690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1602633.\nAnswer: 3, 534211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*t - 515 = -9155. Let n be ((-88)\/20 + 5)\/(t\/40). Determine s, given that 0 - n*s**4 + 0*s**3 + 2\/9*s**2 + 0*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*p + p + 0*p)*(-18*p**2 - 252 + 252) to v + b*p**3 + k*p + d*p**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 393\/(-21) + 4\/(-14). Suppose 16 = 4*y, 2*m + 0*m - y = -92. Let f = k - m. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.513 plus 0.4?\nAnswer: 8.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*k - 56 = -152 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p - 5. Let r = -36192 - -36185. Let t(n) = -2*n - 15. Determine r*u(v) + 2*t(v).\nAnswer: 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12107682 to the power of 1\/2, to the nearest integer?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of -31*z**4\/6 - 41*z**3\/2 - 79*z + 29. Let x(f) be the first derivative of h(f). What is the second derivative of x(i) wrt i?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -18974 divided by -4\nAnswer: 9487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-191)\/(-11)*863\/(-2966). Let c = l - -10\/1483. Let h = -14789\/4 - -3694. Calculate the common denominator of c and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 3252*i**2 - 19*i - 2. Let b(g) = g. What is b(o(u))?\nAnswer: 3252*u**2 - 19*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 + 3. Suppose x = -2*z - 6 - 4, -5*z - 105 = -4*f. What is the highest common divisor of f and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/(75\/11688) + ((-12)\/(-10) - 2). Is -780 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-6)*-1*4. Let p be (1 + b + -2)*5. Let i(d) = -2*d - 4. Let n(k) = 2*k + 3. What is p*n(v) + 4*i(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/24)\/(3\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*z**3\/11 - 188*z**2\/11 + 190*z\/11 = 0. Calculate z.\nAnswer: -95, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uppuupuupupup. What is prob of sequence ppu?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 - 9*h**2 - 9*h - 3. Let a be f(-8). Let n = -1 + a. Suppose -2 = x + n*p, x - 5*p - 1 = 3*x. Solve 0 = 3*v - 4*v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 312303321312?\nAnswer: -312303321311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 300630?\nAnswer: 2, 3, 5, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 16466 + -6135?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnrrxnrznrorn. Give prob of sequence rx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 910791 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2942140997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14664 or -2?\nAnswer: -14664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -10740 - -0.27152\nAnswer: -10739.72848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1880095 divided by -1\nAnswer: 1880095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/(1\/(-1)))\/1. Let f(r) = -r**2 + 8*r + 7. Let t be f(7). Let l = -29\/2 + t. Which is the nearest to 1\/3? (a) 5 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 6*l. List the prime factors of c(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23*c**4*q + 21*c**3 + c**2*q**2 - 5*c + q**2 - 1 wrt c.\nAnswer: 276*c**2*q + 126*c + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qvdq when four letters picked without replacement from {d: 5, w: 1, q: 3, v: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 141212 - 3?\nAnswer: 141206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9 + 11. Let z(f) = -3*f**3 - 9 + 1 + 13*f**x - 22*f + 18*f. Let v(l) = -2*l**3 + 7*l**2 - 2*l - 4. Let h(m) = 5*v(m) - 3*z(m). What is h(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3673*s**4 + 3*s**2 + 114*s**2 - 3513*s**4 - 2 wrt s.\nAnswer: 3840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-26*g - 27*g + 5*g)*(-1 + 0 + 4)*(0 + 0 - 3*g)*(-4*g**2 + 4*g**2 - g**2) in the form k*g**3 + h + r*g**4 + t*g + m*g**2 and give r.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/180)\/(2\/168)*10\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -45*u**2 - 525*u + 69. Determine t(-11).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 28354 - 26585. What is the remainder when j is divided by 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*r = -4*r - 126700. Suppose -9*q = -r - 3580. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -264375*w**2 - 2*w. Let o(v) = 11*v. Determine o(u(z)).\nAnswer: -2908125*z**2 - 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2 + 8444*s - 496480.\nAnswer: 2*(s - 58)*(s + 4280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-54*q**3 - 52*q**3 + 103*q**3)*((-3 - 2*q + 3)*(-3*q + 0*q + 4*q) - 2*q**2 - 2*q**2 - q**2).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 368322769?\nAnswer: 1549, 237781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*r + 3*r - 4*r - 4*r - r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from wxoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 638, 2538, 5706, 10142, 15846, 22818, 31058?\nAnswer: 40566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 248 and 80?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.5 in 2\/7, 1, -7570, -4, 12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in -1\/39, 1, 0.1, 2\/7, 100?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 72335.00087054 - 72335. Round n to six dps.\nAnswer: 0.000871","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, n: 1, j: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19048?\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 39698.\nAnswer: 357282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/30*2 + (-2)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -45459*g*i*q + 15*g*i + 4*g*q - 998*g - 63*i + 101*q - 3 wrt i?\nAnswer: -45459*g*q + 15*g - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -4. Let v be (-136)\/12 - y\/3. Let z = v + 22. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-26)\/40 + (-5)\/(-20). Let s(m) = -m**3 + 34*m**2 + 55*m - 705. Let j be s(35). Sort j, a, -0.2, 0.2 in decreasing order.\nAnswer: 0.2, -0.2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34.2 - 31. Let x = -6.2 + q. What is the closest to -1 in x, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 45\/7? (a) 2\/13 (b) -88504 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 269*k**3 - 3*k - 23. Let c(a) = -a - 3. Let q(p) = c(p) - r(p). What is the second derivative of q(w) wrt w?\nAnswer: -1614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29329998 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 30\/17 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 1002*s - 8995. What is a(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {h: 1, f: 1, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 21189331517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 63320, 127156, 190992, 254828, 318664?\nAnswer: 382500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.0091 times -5\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/72 and 79\/247352.\nAnswer: 2226168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 + 4. Let s = 69 - b. Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 11*g - 6. Let n(v) = 13*v - 7. Let o(h) = 6*n(h) - 7*t(h). Let x(w) = -521*w**2. Calculate o(x(m)).\nAnswer: -521*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 473162 is divided by 473152?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/32*8 - -22807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hfhahaahhhaaaahaff. Give prob of sequence ha.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 181379 is divided by 16443?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -5, -201, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*j + 35*j - 3*d = -540811, j = d + 270408. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*g - 0*g. What is the units digit of ((-424)\/(-4))\/(g + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Simplify -6*((sqrt(1573) - (-3 + sqrt(1573) + 1)) + (sqrt(1573) - (sqrt(1573) + 4 + -3))**2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 29478120112\/(-840) - -1*(-6)\/(-45). Round j to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of z**4\/12 - 5*z. Let k(j) = 3*j**2 - j**2 + 8*j**2 - 6*j**2 + 0*j**2. Calculate v(k(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 340 = 31*c + 54*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/2328 and -41\/3492.\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -67.66 - -66. Round n to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 4*b**2 + 3*b + 6. Let g = -10 - -6. Let s be h(g). Suppose 0 = 2*i - 2*c - 78, -2*i - 5*c - 8 + s = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*v - 726 = 108*v - 225*v for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-114)\/9)\/((2 + -1)\/135). Is r\/(-42) + 8\/28 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6492\/221 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + 406.56822322341?\nAnswer: 416.56822322341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 3*d + 2*d. Let y be ((-2)\/d)\/(1\/3). Let l(w) = -w. Let h be l(0). Does y = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the third derivative of -5*y**8\/84 + 3*y**7\/14 - y**6\/12 - 2*y**5\/3 + 5*y**4\/4 - 5*y**3\/6 + 185*y**2 - y. Find j such that l(j) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -11156 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 48109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (((-10)\/4)\/(-5) - 1)\/(12\/(-156))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 227304 is divided by 75475?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 125 + 201105800\/(-1621900)?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -860361, -122, -3?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2143 a factor of 25576705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - o**2 - 1. Let w be s(-2). Let l = 2 - 2. Differentiate l - 2 + f**3 - 3*f**w with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 180527 = -21473. Suppose -2*q - 10 = -4*l, 2*q - 25 = -4*l + q. Suppose 11*k - g = l*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 664 + -659. Suppose -s - 13 = 4*p, -10*s - 2*p - b = -11*s. Let y(q) = -3*q**2 - 2*q - 1. What is y(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + 7 + -8 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*x - 16*x - 708. Let g = 179 - x. Let q = 2 + 13. Solve g*j = 5*f + 16 + q, 5*j = 4*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2554.53553 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 100.36417966 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6*f*g + 10035*f + 612181*g wrt f.\nAnswer: -6*g + 10035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -83? (a) 124 (b) -11 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-457 - 1000 - 267)*(6*c - 7*c - 4*c + (0*c + 0*c - c)*(-3 + 0 + 1)) to the form p + u*c and give u.\nAnswer: 5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -1. Let i = z + -1. Suppose 0 = -18*l + 23*l. Which is the closest to l? (a) -3\/4 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -188 = 18*z + 45*z - 16*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40369 is divided by 13427.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.0233 + 212.0233. Let x = 125 - r. Let o = x - -86. What is the nearest to 0.1 in -3\/4, 3\/4, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 35 + 31 + 574460*q + 2387954*q + 1222619*q. Let g be i(-2). Round g to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22132202000 (base 4) in base 10?\nAnswer: -2746496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -464*i + 6 + 950*i - 431*i + (5 - 5 + 1)*(-3*i + i + 3*i).\nAnswer: 56*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 8*j**2 + 17*j - 12. Let v be g(-3). Suppose b - 7 = 2*b - 4*f, 5*b = 5*f - 5. Let a(h) = -1 - 3*h + b - v. What is a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ryrr when four letters picked without replacement from yryrrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 28.231470239 - 0\nAnswer: 28.231470239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31796689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -761*b**3 + 4*b**2 - 5*b - 8. Let r(z) = 793*z**3 - 5*z**2 + 5*z + 10. Give -4*r(g) - 5*u(g).\nAnswer: 633*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3988308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1277968 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 187413260*a**3 - 382056515*a**2 wrt a.\nAnswer: 1124479560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3*-1*731\/(-17) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 5*b - 35, 5*b - 2*k - 7 = 13. Let c(a) = -a**b + 4*a + 0*a - 3 + 0. Calculate c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + (-8 + -8 + 6 - -3) - 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is x in -45*x**5 - 3696*x**4 + 113763*x**3 - 631506*x**2 + 780468*x + 115560 = 0?\nAnswer: -107, -2\/15, 2, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to 10\/4671133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 27*w**2 - 58*w - 1. Let f be r(-29). Let y = 0.08 + -3.08. Which is the biggest value? (a) f (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:26 AM and 4:14 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18719 - 18710. Solve -76*q + 75*q = -c for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10160 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 13 - ((-4 - 0) + -1 + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1069*k**4 - 603?\nAnswer: 4276*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 - 40*j + 377. Suppose l - 3*x = -57, 45*x - 48*x = -3*l - 153. Determine v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -185456107 + -0.0086?\nAnswer: -185456107.0086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, r: 1, v: 1}. Give prob of sequence vrv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the first derivative of -u**5\/60 - u**4\/12 - u**2\/2 - 1. Let z(f) be the second derivative of p(f). What is the second derivative of z(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416073 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 13 - -102?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.09 - 15.91. Let j = z - -17. What is the closest to 0.1 in -4, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 73\/1509655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 79684781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 56070595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2452536\/223 - -10998. Find the common denominator of 15\/4 and l.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from rnrrnurrraaxrrx.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = 3*m - 4*g - 86 + 41, -36 = 3*m + 3*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-40)\/70)\/(1\/(-7)). Suppose 23*v - t = 21*v. What is the least common multiple of 7 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/5)\/((-8)\/(-20)). Let k(j) = 3 + m*j - j**3 + 0 + 7*j**2 - 3*j. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 90233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -39 - (13 - 21) - (-30 + 27)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 746*k**3*t - 33*k**2 - 2*k*t - 3*t wrt k.\nAnswer: 4476*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 655887023.\nAnswer: 11, 467, 127679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 1, -52 in increasing order.\nAnswer: -52, -16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*m + 7*m - m - 3*m**3 - 2*m**2.\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:06 AM and 2:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + 28*w - 203. Let p be r(18). Suppose -h + 3*n = -47, -3*n - 174 = -4*h + 2*n. Let v = h - p. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/3)*j**(-6)*j)\/(j*j**(-22)*j*j**(-1\/5)))**4 assuming j is positive.\nAnswer: j**(952\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2246 * 120843\nAnswer: -271413378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 4 + 2)*(26 - 7*o - 26)*(-o + 3*o - o) + (-o + 2*o + o)*(25 - 25 - 14*o)*(-4 + 4 - 2) + 6*o**2 - 4 + 4 to c*o + b*o**2 + a and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 425494328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -561319\/18 - -31192. What is the common denominator of l and ((-38)\/(-52)*-3)\/(-3)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 664 - 626. Suppose g*n - 29*n = 927000. What is n rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**3 - 323*g + 210*g - 4*g**3 + 0*g**3.\nAnswer: -g**3 - 113*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the third derivative of y**7\/35 - y**3 - 8*y**2. Differentiate f(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3490\/4537*(-39)\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of 2*k**7\/105 + 2*k**6\/75 - 3*k**5\/25 - k**4\/3 - 4*k**3\/15 - 8*k - 16. Let b(o) be the first derivative of t(o). Factor b(r).\nAnswer: 4*r*(r - 2)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 17 = 18. Let t be (-14)\/2 - (p - (-6)\/3). Which is the second biggest value? (a) t (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 5*z = -61, 3*z - 11 + 70 = 4*w. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + 1. Let g(u) = -u**2 + 7*u + 1. Let f(s) = g(s) + 2*x(s). Let b be f(-5). Let c(o) = o**3 + 8*o**2 + 4*o - 1. Is 12 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l = 5*k - 28, 8*l - 10*l + 16 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o**2 + 2*o**2 - o**2)*(-3*o + o + o) - 8*o**3 + 4*o**3 + o**2 - 3 + 6*o - 4*o.\nAnswer: -2*o**3 + o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -68*m - 2*m**2 - 3*m**3 + 127*m + 1 - 61*m + (0*m + 2*m**2 + 0*m)*(2*m - 2*m - 2*m).\nAnswer: -7*m**3 - 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 209 a factor of 14056713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -128*b**6 - b**4 - 180*b**2?\nAnswer: -15360*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/((-60)\/3)*(-16)\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*c + 9*c = 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -w**3 + 1 - 1 + (-6*w + 3*w + w)*(0*w**2 + w**2 + w**2) + (-1 + 2 + 0)*(-23*w + 23*w + 9*w**3) in the form z*w**3 + h*w**2 + c*w + l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l - 1 - 3*l + 6. Let s be j(6). Let b(h) = -25*h**3 + h**2 + h. Let t be b(s). What is the highest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-394)\/52 + 399\/(-798). Put t, 2\/7, 3 in decreasing order.\nAnswer: 3, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 6*q)*(-q + 3*q - 3*q) + (2*q**2 - q**2 - 3*q**2)*(1 - 2 + 0).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0011845 to five decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 17 = -c. What is the highest common divisor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -11 - (-20 - -5 - -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**2. Let m(v) = -3*v**2 - 3. Suppose -3*w - 4*k = -8*w + 1, -w + 5 = -2*k. Let u(g) = -1. Let a(d) = w*u(d) + m(d). What is s(a(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*p - 4246 = -1426. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggooogoooooooo. What is prob of picking 3 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4217932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 3794807349.9 to the nearest 10000.\nAnswer: 3794810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(4\/(-8)*4)*4\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 - 27*c + 100. Let s be m(-30). Let n(f) = f**2 + 3*f + 7. Let w be n(-6). Calculate the highest common factor of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 422, 726, 932, 1040, 1050, 962, 776?\n\"Answer: -49*b**2 + 451*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 AM and 9:27 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 12 - 18 - (-2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 2)*(-4 - 7 + 5)*(2 - 6 + 4*c - c)*(2 - 2 + 4).\nAnswer: 216*c - 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((1 + sqrt(245))**2*3 + sqrt(245) - -3*(sqrt(245) + 2*sqrt(245)))*-4.\nAnswer: -2949 - 448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/(9\/(-2))*13841\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 3*q**2\/4 + 174*q + 10092 = 0.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 11986\/(-14) + 4\/28. Let s(x) = -2*x**2 + x - 1316. Let l be s(0). Let p = f - l. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 9:26 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -5*j - 12, 0 = 4*j - 9*j - a - 16. Let z(d) = -13*d - 4. Is 9 a factor of z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/11)*f**29)\/(f\/(f**(10\/11)*f)*f**0))**(10\/7) assuming f is positive.\nAnswer: f**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 157 - 1?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -3*s - 27. Let a = s + 40. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*m + 144 - 42. Let c(x) = -x**3 + 15*x**2 + 35*x - 13. Let r be c(m). Solve 3*v + r = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1379 divide 175001247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {y: 3, c: 6, r: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7.028321 minutes in microseconds?\nAnswer: 421699260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 59 + -64 - (5 + 7) - 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34701756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-18)*-5*(-24)\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1\/642 + -17497\/1605. Calculate the common denominator of (1\/5*43)\/(-1) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 792286581 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, 18, 103, 222, 375, 562, 783?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -31, -74, -153, -280, -467, -726?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 5*b**2 + 6*b + 1. Let c be p(3). Let z be (-6 + (3 - c))*1. Let f(a) = a**2 + 5*a + 4. Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -3 + 5 - (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 14444.7 rounded to the nearest one hundred?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2*-1*(sqrt(77) + (sqrt(77) - -1*sqrt(77))*-5 + sqrt(77) + sqrt(77)))\/((3*sqrt(110)*-1)\/((sqrt(70)*-2)\/sqrt(7))).\nAnswer: 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (-1180)\/380 + (-2)\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5296936 is divided by 2178.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from cvmmvvvcecvwmm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12448 = 4*d + 3*h, 0 = 5*h - 12 - 8. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 261 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-900025)\/777)\/((-5)\/42) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a minute in seconds?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 26 = 4*h, -2*x + 4*h + 21 = -3. Suppose 21 = -x*w + 63. Suppose 4*v - w = 7*v. Which is bigger: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24008?\nAnswer: 2, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13, -28, -43, -58, -73?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 AM and 11:14 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/1*(-6)\/(-36). Is n at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -19 - -17. Put 2, g, -1 in ascending order.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the second derivative of h**5\/4 - 50*h**4\/3 + 1000*h**3\/3 + 48*h. Let z(k) = 0. What is k?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18767, -156909, -531869, -1262057, -2465883, -4261757, -6768089, -10103289?\nAnswer: -14385767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-2138*o + 31008*o - 7480*o)*(0*o**2 + 2*o**2 - o**2) in the form g*o + n + w*o**2 + t*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*t**3 + 0*t**3 + 2*t**3)*((1 - 1 + t)*(-1 + 2 + 0) - 5*t - 78*t - 5*t) + 0 - 7*t**4 - 2 + 0*t**4 as l*t + v*t**4 + q*t**3 + y + x*t**2 and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 31, 1899, 0 in ascending order.\nAnswer: 0, 31, 1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2 + -8 - (-11 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 67886 and 7371?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 82870896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1620 and 5202?\nAnswer: 468180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + a + 1. Let w be 19 + -25 + 8 + -3. Let t(g) = -g + 2. Calculate w*j(k) + t(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 9, 24, 65, 144, 273, 464, 729?\n\"Answer: 2*b**3 + b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -27, -25, -23, -21, -19, -17?\n\"Answer: 2*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.02 * 6.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 6*c + 3)*(183*c + 145*c + 58*c + 149*c - 19*c) to the form x*c + o*c**2 + k and give o.\nAnswer: -3096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (91 - 727\/8)\/((-7)\/(-12)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -719156, -719213, -719272, -719333, -719396?\n\"Answer: -p**2 - 54*p - 719101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, 4, -1, 79 in ascending order.\nAnswer: -5, -1, 0, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 5) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 11371, 21705, 32039, 42373, 52707, 63041?\n\"Answer: 10334*n + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2449 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 236533375?\nAnswer: 5, 13, 19, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -13 (b) -0.05 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 19*z**2 + 19*z**2 - 2*z**4 - 2*z)*(-3*z + 0*z + 4*z).\nAnswer: -2*z**5 - 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 13. What is the remainder when 86\/u - (-3)\/(-5) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8392 - -14467. Calculate the greatest common divisor of w and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**5*t)**19)**(-2\/77) assuming t is positive.\nAnswer: t**(114\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 236.2 - 1291.2. Let c = l - -1054.99999517. What is c rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.584471 days in weeks?\nAnswer: 0.226353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8 or 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-29)\/l*l)**(-8)\/((l*l**(-22))\/l**(-31)))**(2\/3) assuming l is positive.\nAnswer: l**(428\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*r**2*s**3 + 2*r**2 - 623*s**3 + s**2 - 119*s wrt s.\nAnswer: -12*r**2 - 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 84 + -83.793. Let s = -1.207 + m. What is the second smallest value in 0.2, 6, s, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -15\/2. Suppose -4*v - 1 - 5 = -r, 0 = -4*r + 2*v + 10. Which is the closest to -6? (a) r (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that m**2 + 212*m + 211 = 0.\nAnswer: -211, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 7:24 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 106678 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyfy when four letters picked without replacement from yyfyffnyyfyyny?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 197*y + 117. Let b(n) = -109*n - 58. Let a(j) = 9*b(j) + 5*r(j). Give a(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9880\/(-325))\/(-38)*(-75)\/(-96)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2 + k + 51. Let w(x) = x**3 + x**2 - 4*x - 11. Let m be w(0). What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -36*g**2 + 20*g - 3. Let l(a) = 73*a**2 - 41*a + 5. Let i(m) = -3*l(m) - 5*t(m). Find the second derivative of i(u) wrt u.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 11*t**2 - 27*t - 6. Let p(v) = 4*v**2 - 9*v - 2. Let f(o) = -3*c(o) + 8*p(o). What are the prime factors of f(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d + 1. Let h(t) = t**2 - t + 1. Let n be h(0). Let l(i) = -i**2 - 5*i - 7. Calculate n*l(a) + 5*g(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 139 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}