{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from xeepeejeppxceejpeex.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -602*h**3*p**3 - 13189*h**3 + 3*h**2*p - 51*h*p**3 wrt p.\nAnswer: -3612*h**3*p - 306*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 115996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 AM and 9:22 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1533*i + 134676 = 974*i - 1935*i for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4915\/4 - -1218. Find the common denominator of -95\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 10) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -33*l**3 + 167*l**2 + 6*l - 3. Let q(m) = -24*m**3 + 167*m**2 + 4*m - 2. Give 3*q(d) - 2*w(d).\nAnswer: -6*d**3 + 167*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14802?\nAnswer: 2, 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*n**3*x - 724*n**3 - 204*x + 3 with respect to n.\nAnswer: -12*n**2*x - 2172*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 4*l - 79. What is m(9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/99 and -103\/11436975?\nAnswer: 11436975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*p - 4)*(16873*p + 19065*p - 2 + 16639*p - 10625*p).\nAnswer: -83904*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -391, -1325, -2807, -4837, -7415, -10541, -14215?\nAnswer: -18437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(175)\/sqrt(5)*-1)\/(sqrt(77)\/(sqrt(121)\/sqrt(99))).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5090 divided by -1\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -19*r**2 + 25*r + 14. Let j(z) = 64*z**2 - 68*z - 41. Give 11*g(v) + 4*j(v).\nAnswer: 47*v**2 + 3*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 766.685087 to 1 decimal place.\nAnswer: 766.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -10599, -7, 624 in descending order.\nAnswer: 624, -7, -10599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 869173982.\nAnswer: 2, 67, 2207, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 104192 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 x = -40 + 45. Suppose x*p - 28 = 4*r, -5*p - 4*r - 3 = -15. Factor 1\/4*o**2 - 15\/4*o**3 + 1\/2*o - 7\/4*o**5 + 19\/4*o**p + 0.\nAnswer: -o*(o - 1)**3*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(-32))**(-13) assuming g is positive.\nAnswer: g**(-416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2576\/48 + (-1)\/(-3). Suppose 20 = 4*t + 64. Let q = j - t. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 2, 13 in increasing order.\nAnswer: 2, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/(-14) + 8*(-5143)\/(-39368)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2874, 3159, 3444, 3729, 4014, 4299?\nAnswer: 4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 11, d: 4, y: 2, c: 1, s: 1}. Give prob of picking 1 y, 1 d, 1 c, and 1 s.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 133 - 133.4. Let a = 0.2 - -0.8. Sort 0.4, h, a.\nAnswer: h, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 14*t = 65. Suppose t + 21 = 2*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -739411 divided by -1597?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -10140340.06 to the nearest 10000.\nAnswer: -10140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*x**3 - 10*x - 16*x - 7*x + 4*x + 220*x**3 - 428*x**3.\nAnswer: -52*x**3 - 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 5*w + 1791 = 1774, 0*w - w = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = 2*f + v, 5*f + 9*v - 364 = 6*v. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**2. Let s(o) be the first derivative of -o**3 - 1. Determine s(n(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n + 0 - 1 - 2*n + (11*n - n + 7*n)*(4 - 10 + 8) in the form j*n + z and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2193 - 2109. Calculate the smallest common multiple of 48 and o.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237386 = -35*g - 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -r**9\/68040 + r**8\/10080 - r**7\/5670 - 7*r**4\/12 + 22*r. Let s(q) be the third derivative of k(q). Factor s(m).\nAnswer: -2*m**2*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 4:10 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**5 - 1125*n**4 + 5545*n**3 - 9935*n**2 + 7710*n - 2200.\nAnswer: 5*(n - 220)*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3516.3 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 101259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 9935848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of f**3 + f**3 - f**3 + 639 - 777. Let m(s) = 43*s**2. What is q(m(y))?\nAnswer: 5547*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 949721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 464220495 is divided by 944?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14652, -14626, -14568, -14466, -14308, -14082, -13776?\nAnswer: -13378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 13*w**2 + 21*w + 14. Let f be j(11). Let -3\/2 + 0*x - 3\/2*x**4 + 0*x**f + 3*x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rxrx when four letters picked without replacement from rxrrrrrrxxrrxrrrrxr.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 11*l - 1. Let h be w(-4). Let z be 2184\/924 + 72\/(-198). Put h, z, 4 in ascending order.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n**13*n*n)*n*n**(-3\/8)*(n\/(n*n**(1\/2)*n)*n)**2 assuming n is positive.\nAnswer: n**(-115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5358 - -5357. Let s be (2*8)\/2 - 1. What is the nearest to w in -3, s, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1829 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + h - 9057 = 0, -3*r + 4*r + 5*h = 2250. Which is bigger: 2267 or r?\nAnswer: 2267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -4674?\nAnswer: -4677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**5\/30 - h**4\/3 + 8*h**3\/3 + 21*h**2. Let j be f(3). Sort j, -33, 2 in decreasing order.\nAnswer: 2, j, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -22, -9, 26, 2, -3\/10, -1.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z + 0*z + z - 5*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) -1\/12  (c) 2\/9  (d) 164\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3082 - -3085. Solve -3*i + 18 = 4*q - 5, -12 = -c*q + 3*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 4*l**2 - 2. Let x be p(4). Let i be ((-1)\/x)\/(2\/88). Suppose 2*a + g = 44, 0 = -a + 2*a + 5*g - i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 48. Calculate the least common multiple of 100 and b(-28).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (36\/(-10))\/((-3)\/(-20)). Let s = 44 + v. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, z: 7}. Give prob of picking 1 z and 1 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -13 - 7*f**2 + 33 - 19 + f**3. Suppose g + 3*g = -20, -3*x = 5*g + 4. Let r be h(x). Solve 0 = 4*z - 11 - r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -576*i**2*j**2 + 2*i**2*j - 12*i*j**2 - 10*i*j - i + 24*j**2 - 47*j - 25 wrt j?\nAnswer: -1152*i**2 - 24*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 2*t)*(3*t - 5*t - 2*t)*(197 - 104 - 51) to a + k*t**2 + d*t and give k.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -288*t**2 + 2. Let d(q) = 145*q**2 - 1. Determine -2*b(w) - 5*d(w).\nAnswer: -149*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 6:36 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.02, 3\/4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322 is divided by 157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 456 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 124\/(-8))*-5*(-38)\/(-285).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*b + 15, i - 5 = -4*b + 14. Let p = 24 + -15. Suppose -b*j + 2*j = -p. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1 = 2. Suppose 5*v = 10, 5*n - v - 24 = -o*v. Let z = n + -8. Which is the biggest value?  (a) z  (b) 1\/4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t + 6. Determine j(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -83*p**5 - 96*p**5 - 13*p**4 + 203*p**5 + (3 - 3 - 2*p)*(-2*p**4 - p**4 + 14*p**4).\nAnswer: 2*p**5 - 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -364*f*p**2 - 5*p**2 + 88*p with respect to f.\nAnswer: -364*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence elu when three letters picked without replacement from nheeunxheeeluehhnxln?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a - 56*a - 90*a - 21*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3503.1 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -3, 5, 3\/2, -103 in increasing order.\nAnswer: -103, -3, 2\/5, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 18. Suppose -2*k + 2*x - 4*x = -14, f*x = 2*k + 1. Suppose -g + 5*l - 22 = -2*g, -5*g = k*l - 131. Which is bigger: g or 26?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13130, -52523, -118180, -210101, -328286, -472735?\n\"Answer: -13132*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/38816 - -3124553\/1746720. Find the common denominator of 83\/45 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 3 - 2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/16 + -1)*-8 + -2. Suppose s - 20 = 4*m. Let w(n) = -n + 2. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, -0.3, -5\/37 in descending order.\nAnswer: 8, -5\/37, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/1460 and 157\/101616?\nAnswer: 508080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4740 minus -44?\nAnswer: -4696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5286\/7 - -756. Which is the nearest to 2?  (a) -5  (b) -0.4  (c) y  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2530 = -4*h + 17745, -5*h = -3*a + 20293. Calculate the remainder when a is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**2\/2 + 2. Let b(o) be the second derivative of o**4 - 2*o - 3181. What is b(z(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, z: 11}. What is prob of sequence dz?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13909547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 15.9. Let u = 117 - 583\/5. Let j = -32 + 94\/3. Which is the closest to g?  (a) u  (b) 0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -136 + 135. What is the nearest to 0.1 in -2\/15, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7744*m - 15493. Give l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -101*d**3 + 200*d**3 - 121*d**3 - 3*d**2 + 4*d**4 - 3*d**4 + 2*d**2 as t + g*d**3 + o*d**4 + f*d**2 + s*d and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2455823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 146 + -144. Let s(x) = -x**3 - 9*x**2 - 27*x - 9. Let i(h) = 2*h**2 + 7*h + 2. What is p*s(z) + 9*i(z)?\nAnswer: -2*z**3 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 7:27 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 459555 = -5*i, 4*s - 459553 = -12*i + 7*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*h**3*n**2 - 2*a**2*h**3 - 3*a**2*n*s - 2*a*h**3*n*s + a*n**2*s - 6*a*s - 2*h*n**2*s + 3*n**2 wrt a.\nAnswer: 4*h**3*n**2 - 4*h**3 - 6*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 525457.8 milliseconds in days?\nAnswer: 0.0060816875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5810881993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/1 - 81)\/(-2). Let s = 39 - n. Is s\/(-14) - (-67587)\/91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 6 = 4*v - r, 5*v - 3 = -2*r. Let u = v + 2. Suppose 4*i + 3*o = 5*i - 25, -i + 31 = -5*o. Solve -u*k = 0, x - 5*x - i = k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 7*v - 9. Let z(j) = 2*j**2 - 9*j. Let g be z(3). Let t(x) = -2*x + 2. Calculate g*t(w) - 2*m(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = y + 72. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 17*d**2 - 3*d + 2. What is b(2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from mmlll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + r + 3, -h + 2*r + 1 - 9 = 0. Suppose -h*g = -g - 20. Let l = 14 + g. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -3\/5*c + 3\/5*c**2 - 3\/5 + 3\/5*c**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -206*t = -226*t + 100. Let r(c) = -c**3 - 8*c**2 + c + 11. Let k be r(-8). Solve t*a - f + 14 = 0, -2*a = k*a - 3*f + 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9, 6957, 0.2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 4. Solve -4 = -r*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-8)*n)**29\/(n**(-21)\/n**(-10\/7)) assuming n is positive.\nAnswer: n**(-1081\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 0.153, 1, 63?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9368?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*a**2*u + 2708221*a**2 - 27919*a*u**2 wrt u?\nAnswer: 7*a**2 - 55838*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2262761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -4 + 12 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 + 3 = 2*m + 3*w, -w + 3 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1754425 divided by -5?\nAnswer: 350885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11115520 by 173680.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*d + 3*d. Suppose -2*n - 3*r - 11 = 0, 0 = n - 5*r + 10 + d. Let z = n - -11. Solve -2*c = -2*x + 10, -5*x + 3 = z*c + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 669 and -0.3.\nAnswer: -200.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 19*s + 10. Let h(q) = 20*q + 9. Let i(c) = -5*h(c) + 6*r(c). Find the first derivative of i(f) wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6155 + 6165. Calculate the remainder when 223 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3\/326 - -3091\/652. Let f = 122687\/20 + -6133. What is the common denominator of u and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6382787 + 531*g + 6382787 + g**2.\nAnswer: g**2 + 531*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3321322.5 rounded to the nearest one thousand?\nAnswer: -3321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 30280687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 45 = -3*p. Suppose 3*l + p = 96. What is the lowest common multiple of 6 and (l\/(-6))\/(1\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -31*a. Let t(c) = 31*c. Calculate t(h(p)).\nAnswer: -961*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 3*b. Let o(d) = -d**2 - 5*d. Let k(f) = -5*g(f) + 3*o(f). Let s(j) = 96448*j**2 + 1 - 192762*j**2 - 1 + 96410*j**2. What is s(k(w))?\nAnswer: 384*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3*i)*(2*i + 0*i - 3*i) - i**2 + 4*i**2 + 2*i**2 + (-37*i - 11*i + 13*i)*(2 - i - 2).\nAnswer: 37*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vevv. What is prob of sequence ev?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 1. Let f = j + 0. What is the nearest to f in -0.5, 0, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 + (-56)\/21)*36. Solve -o*t = -13*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1041164, -1041116, -1041068, -1041020?\nAnswer: -1040972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (4 + -6)*-36 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(68) + (sqrt(68) + 1 + sqrt(68) + 0)**2 + 5.\nAnswer: 10*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**3\/4 - 272845*k**2\/4 - 954933*k\/2 = 0?\nAnswer: -272838, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -2*m - 54. What is the common denominator of (-15)\/6*234\/m and ((-2)\/4)\/((-12)\/9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 2*n**2 - 29*n. Let w(c) = c**2 - c. What is -j(p) - 2*w(p)?\nAnswer: -p**3 + 31*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -9 + 24. Let j(g) = -g**2 - 5*g + 4. Let f be j(c). What is the third derivative of -3*o**4 - 3*o**2 - f*o**4 + 17*o**4 wrt o?\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2 = -0*l. Let x be l\/(-3) + (-3)\/9. Let n(p) = -13*p + 1. Let f be n(x). What is the greatest common factor of f and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008164 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 1. Let o = v - 1.5. Which is the nearest to -0.2?  (a) 3  (b) 2\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l - 4. Suppose 0 = -2*d + 5*y - y - 8, 0 = 5*d + 5*y - 10. Give p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of 0*x**2 - 3\/10*x**5 + 1\/21*x**7 - 1\/6*x**4 + 7*x + 2\/3*x**3 + 0 + 1\/15*x**6. Factor y(u).\nAnswer: 2*u*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 3 = 4*x + 5*l, 4*x - 4 = -4*l. Let g(i) = i**2 - 5*i + 1. Let m be g(5). Let z be m\/(-2) - (-10)\/4. Is x != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, v: 3, r: 1, o: 1, q: 2, t: 4}. What is prob of sequence tttu?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -674523*u**2 - 4024. Let l(x) = -503*x**2 - 3. Give -4024*l(z) + 3*r(z).\nAnswer: 503*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.2 + 9. Let u = -1.3 - m. Which is the closest to u?  (a) -0.2  (b) 0.1  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166 divided by -39323.\nAnswer: 166\/39323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of 0 + 0*h**2 - 1\/9*h**3 + 1\/18*h**4 + 11*h. Determine j so that o(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10337001 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-17)*l*l\/(l*l**(-7\/3)*l) assuming l is positive.\nAnswer: l**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z - 7. Let b be ((-2)\/8 - -1)*4. Suppose 6*v + 4*h = b*v + 5, -4*h = -2*v - 30. Calculate j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -21*j - 8. Let o be w(-7). Let y = -127 + o. Factor -129*q + 48*q - y*q**2 + 69*q - 4*q**3 - 4.\nAnswer: -4*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + g + g - 4 = 0, 4*h - 2*g = 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 2*w. Suppose 19*u - 31*u + 8640 = w. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 74*w**2 - 12*w - 23. Is 11 a factor of a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 68883750097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (133\/(-57))\/((2\/9)\/(12\/(-18)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1\/19, 2\/5, 2.\nAnswer: 1\/19, 2\/5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18576.9 + 18577. Which is the fourth smallest value?  (a) -0.13  (b) 3  (c) w  (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.727 - 0.077. Let z = -0.75 + j. Let b = z + -6.90000023. Round b to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1235 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/7*2\/8 and 1 - 4\/160*6.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/17 or -20317\/3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -143 - -143. Solve 16 = -c*a - 4*a - 4*h, 0 = a - 3*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4072297217 to the nearest integer?\nAnswer: 63815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 102137178679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1717 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -300682 + 300681.8799948. Let b = 0.12 + z. What is b rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -5, 351 in increasing order.\nAnswer: -5, 2, 5, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -387*v - 10730. Calculate t(-28).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -62944 (base 10) to base 8\nAnswer: -172740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/9)\/((-7)\/84). What is the third smallest value in b, -3\/5, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*o - 2 + 69*o + 0 + 2*o**3 - 36*o + 11*o**4 + 2*o**2 + 0*o**2 to the form l*o**2 + y + p*o + c*o**3 + n*o**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 5*l**2 + l - 3. Let d be m(5). Let w be (d\/5)\/(8\/20). Are w and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176, -169, -158, -143?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 6*k**2 + 12*k - 5. Let p be i(3). Let m be (-102)\/21*-2 - p\/(-14). Calculate the highest common divisor of 90 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 8*k**2 - 6*k + 7. Determine g(5).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 7. Suppose -2*o - 5*z = 20, -3*z - 7 = 2*o + 5. What is the remainder when v(o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/433, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -83 + 84. Is 6639 - (0\/(-9) - (-2)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -s + 112, -4*j + s - 5*s = -112. Suppose -799*p = -916*p + 65520. What is the highest common factor of p and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.9 - 2. Let p = 4561 - 4560. Which is the closest to p?  (a) -0.5  (b) m  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -348 + 340 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15432944 a multiple of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**4 - z**3 - z**2 - z - 1. Let l(a) = 10*a**4 - 6*a**3 - 6*a**2 - 6*a - 7. Let o(n) = -6*j(n) + l(n). What is the derivative of o(r) wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6961 + 7653 = 1754*q + 79622 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 21276*r + 319363. Give t(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 + -6. Let z be (30\/(-49))\/((-4)\/7). Let j = z + -4\/7. What is the nearest to 1\/4 in q, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*g + 18. Is (1*49)\/(g + 12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**4\/3 + 76*h**3\/3 + 323*h**2 - 9950*h\/3 + 15400\/3 = 0.\nAnswer: -55, -28, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 1, p: 5, w: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21146143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x\/x**5)\/x))\/(x*x*x**6)*(x\/x**(-9))\/(x*((x*x**7)\/x)\/x*x) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8888538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 8*r. Let u(n) = 5*n - 11. Let p(w) = -w + 2. Let y(h) = -33*p(h) - 6*u(h). Calculate y(d(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 122355589 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 155.86 + -155.46. Which is the third biggest value?  (a) -239  (b) -6\/5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332.551 litres in millilitres?\nAnswer: 332551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 80 = 11*y. Let k(a) = -a**2 + 16. Let r be k(0). Let w = y + r. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 169.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 3:17 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2037*m**2 + 10*m + 3. Let z be v(-3). What is z rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - j - 1 + (-j + 5*j + 2*j)*(-112 + 16 + 30) to the form q*j + d and give q.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - 8*u**2 + 12*u - 6. Let m be v(6). Suppose i + 28 = -3*i. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1697196, 3394389, 5091582, 6788775, 8485968?\nAnswer: 10183161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 1. Let c(a) = -10*a**2 - 21*a - 3. Give -c(x) - 4*d(x).\nAnswer: 6*x**2 + 21*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 14*z**2 - 26*z - 15. Let m be p(6). Suppose -833 = -10*c - m. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -956 - -3356. What is the highest common factor of k and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14295 + 840*m**2 - 14295 - 203*m**2.\nAnswer: 637*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17847860*d**3 - 207376965.\nAnswer: -53543580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)\/(sqrt(35)\/(-3*sqrt(7))))\/(sqrt(250)\/sqrt(5) - ((1*sqrt(24))\/sqrt(12) - sqrt(2))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 185 and 3626?\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence axa when three letters picked without replacement from {x: 1, f: 1, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29 and 1189?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241044 is divided by 237335?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k - 5. Let w(v) = 1. Let a(l) = -s(l) - 4*w(l). What is a(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -343 - -347. Let l be 4*-1 - -1 - 14\/(-4). What is the nearest to l in 0.2, t, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 2:04 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1081930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 202 a factor of 3383670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 24*o - 10. Let d = 9 - 4. Suppose 0 = -4*n - d*a + 34 + 42, 5*n + 3*a - 82 = 0. Let z(f) = -221*f + 456*f - 2 - 230*f. What is n*z(k) - 3*q(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mammmeeeeemam. Give prob of picking 1 e and 1 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -475210 divided by 95042\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 155346 > 155344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 16 - 99 = 0. Let t = -47\/2 + u. Put -3, t, -5 in decreasing order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240698 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: Factor 2116*p**2 - 154560*p + 2822400.\nAnswer: 4*(23*p - 840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (50\/30)\/(1\/(-18) - 0). Is 15 a factor of (30\/(-4))\/(5\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.227 and 5125?\nAnswer: -1163.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -387 - -387. Solve 5*v + 2 - 27 = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -58b + 29?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2 - 18873560*u + 22263204192100.\nAnswer: 4*(u - 2359195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.137607nm in kilometers?\nAnswer: 0.000000000009137607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 179  (b) -4  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10080 + 1?\nAnswer: -10079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + -13. Suppose 3*o + t = 4. Let n be (3 + o)*(5 - 6). Is -4 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/((-1)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.30059 + 0.079641.\nAnswer: 3.380231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 14*p**2 + 54*p + 24. What is b(-17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from pkpgk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -45, -226, -543, -1002, -1609, -2370, -3291?\n\"Answer: -v**3 - 62*v**2 + 12*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 32*t**2 + t + 1. Let w(y) = 11*y**3 - 288*y**2 + 2220*y - 9. Calculate -9*q(s) - w(s).\nAnswer: -2*s**3 - 2229*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/98, 0.4, 0.5, -0.1, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 4*z**2 - 3*z + 3. Let c be w(3). Let q = 25018 + -25017. Let i be ((-2)\/6)\/((-2)\/24). Solve -q = -c*k + 2, -3*k + 23 = -i*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/8 of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 168496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 11 = -0*s + 4*s, -4*s = 3*k - 29. Suppose -23 = 2*y - 33. Let u be 11 + ((-30)\/y - -2). Solve -4*h = 3*r - u, k*r + r - 5 = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ku when two letters picked without replacement from kknuuuku?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msssmss. What is prob of picking 1 s and 1 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 2*t - 6 = -2*t, 0 = 2*i - 5*t + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + 2*j**2 - 2*j**2)*(-6 + 3 + 2)*(2 - 9 + 1 + (0 - 1 - 1)*(2 - 2 - 2)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 20 = -2*h - c, -h - 5 = -2*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1732.89ml in litres?\nAnswer: 1.73289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -73760?\nAnswer: 7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.3 or 195102?\nAnswer: 195102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a. Let p(l) = -5*l. Let s(i) = -p(i) + 6*u(i). Let m(z) = z**2 - z. Let c(r) = 2*r + 2*r + 3*r - 4*r. Let v(d) = -c(d) - 3*m(d). Give s(v(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210202 (base 3) in base 15?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.88 not equal to -148609\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1120 and 280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 9:24 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*i - 2990 = f, 0 = -5*f + 2*i + 15018. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 9 = -3*q - 0*p, 5*p + 15 = 0. Solve -6*d - q = -10*d + o, -3*d - 2*o + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g**4 - g**3 + 42962*g - 782391 wrt g.\nAnswer: -4*g**3 - 3*g**2 + 42962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -782416 * -3.\nAnswer: 2347248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -167382838 by -412273.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (245\/(-14))\/7*136\/85. Let y(r) = -7*r**3 - 5*r**2 - 2*r + 5. Let k(f) = f**2 - 1. Determine m*k(u) - y(u).\nAnswer: 7*u**3 + u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 679\/133 + (-2)\/19. Which is the nearest to 1\/2?  (a) d  (b) 3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 324*s**2 - 12*s + 1296.\nAnswer: 3*(s - 108)*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k - 1. Let p be 2\/(4 - 6) - 0. Calculate w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -40.6  (b) -4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.768 + -1.232. What is the second smallest value in z, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -92\/3*t**3 + 0*t**2 + 136 + 53*t. What is the derivative of b(w) wrt w?\nAnswer: -184*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 3 - (-12 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 83*i + 454. Let z be o(-5). Suppose 11*k = z*k - 6*k. Solve -5*x + 0*c - 5*c + 20 = k, 3*x - 3*c - 18 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*s + 13*s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -6\/84439 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and 7864.\nAnswer: 7867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**3\/13 + 34*h**2\/13 + 32*h\/13 = 0. What is h?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/168)\/(((-12)\/6)\/(-576))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 0 + 39\/10*w**5 + 43\/3*w**3 - 238*w - 1\/2*w**2 + 0*w**4. Find the second derivative of c(a) wrt a.\nAnswer: 468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**7\/2520 + 2*m**5\/15 - 3*m**2. Let n(y) be the third derivative of s(y). Let l(i) = -4*i. What is n(l(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 581 a factor of 255267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*v - 32*v + 15*v - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*d + 72*d - 19*d - 18*d - 21*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/9, -3, -7, -6\/11, -2, 0 in descending order.\nAnswer: 4\/9, 0, -6\/11, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -181*m**7\/42 - 86*m**3\/3 + m**2 - 452*m. Differentiate l(t) with respect to t.\nAnswer: -3620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38927940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 11:48 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -401 - -405. Let r = 18 + -28. What is the closest to r in y, 3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1234*v**2 + 535*v**2 + 693*v**2 - 1365 as b*v**2 + f + g*v and give f.\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**4 - 404528*d**3 - 10226063184*d**2 + 81827923840*d - 163668793600.\nAnswer: -4*(d - 4)**2*(d + 50570)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 4)*(a + 2*a - 2*a - 3*a + 4*a - 3*a + (5*a + 5 - 5)*(-3 + 5 - 3))*(-4*a**2 + 4*a**2 + a**2).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (4 + (3 + sqrt(1872))*-1)**2.\nAnswer: -24*sqrt(13) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48830 is divided by 48586?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35 - 1) + -598 + 598.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-373)\/((-1551680)\/(-780)))\/(6\/2)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1029 or 1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135665?\nAnswer: 5, 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3701, 7450, 11249, 15098, 18997, 22946, 26945?\nAnswer: 30994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 606, 820, 980, 1080, 1114, 1076?\n\"Answer: -u**3 - 21*u**2 + 284*u + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: (((-80)\/(-84))\/(-5))\/((-6)\/(-7))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 - 2164*b**3 + 295884*b**2 - 859724*b - 1157776.\nAnswer: 4*(b - 269)**2*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*y - 5*u + 9 = 0, -3*u - 1 = -y. Let h be ((-2)\/y)\/(4\/(-12)). Put h, -0.2, 7 in decreasing order.\nAnswer: 7, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -825*q = -2322*q + 154191 for q.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 392*f**2 - f + 7. Let z(l) = 300*l. Calculate z(n(x)).\nAnswer: 117600*x**2 - 300*x + 2100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 139 and 101053.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 235874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q + 10. Let o be m(5). Let s(g) = 2 + 6 + o - 3960*g - 908*g. Let d be s(6). Round d to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*p**2 + 3424 + 2*p**2 + 2*p + 198*p**3 - 3283 - 4*p**2 wrt p?\nAnswer: 1188*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5284 and 2?\nAnswer: 5284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55 + 103 - -105) + -220?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10618434.2 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 268224551 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/139?  (a) 0.6  (b) 4\/3  (c) 5  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 38\/(-3)*5\/((-15)\/9). Is ((-2086)\/(-4))\/(19\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 43 + -40. Suppose n*w - 4060 = -307. Let p = 4040 - w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 4) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 1, k: 1, l: 3, x: 1}. Give prob of picking 1 k, 1 f, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -4*f + 5*k - 2*k, -2*f - 3*k = 34. Calculate the common denominator of 2\/5 and (-40)\/f + (-3 - -1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 14*p**2 + 18*p - 16. Let a be (78\/(-4))\/(6\/(-4)). Let c be s(a). What is the tens digit of (c\/(-5) + 3)\/((-2)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134 minutes after 6:34 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-7) - 6\/(-14). Let h = 29.8 - 30. Let z = -42 + 44. What is the closest to 2 in z, h, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 22\/1 + (-5)\/((-10)\/4). Suppose 0 = -3*z - 5*u + j, 0*z - 4*u = 2*z - 18. What is the lowest common multiple of 22 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 610 by -305.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2199637 rounded to the nearest ten thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10810177*s**5 + 649874*s**2 - 2?\nAnswer: -648610620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*q**2 + 2083*q - 3843*q + 1760*q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9235  (b) -1  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 0.0888525?\nAnswer: 0.035541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Suppose 0 = -x*c + 5*s - 3, c - s = -2*c + 2. Let b be (c\/((-3)\/18))\/(-2). Solve 5*y - b = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 18. Let i be 0 - -1 - ((-12)\/2 - s). Suppose 13830 = -i*y - 64670. What is y rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -248 - -247.5. Which is the second biggest value?  (a) k  (b) -3  (c) -0.4  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2. Let h(y) = 8*y + y + 18 - 16*y + 5*y. Calculate h(v(a)).\nAnswer: -2*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2009 + 18083\/9. Which is the second biggest value?  (a) s  (b) -5  (c) -2\/13  (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8209 - 8224) + (59 - 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 17. Let m(x) = 2*x. Let i(r) = -r. Let c(g) = 9*g - 2*g - 6*g. Let o(k) = c(k) + 4*i(k). Give p*m(f) + 4*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 9. Let j be x(-11). Let a be 6\/(1\/(-192364)*j). Let v = a - -572908. Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of 0*n**2 + 0*n**4 + 5\/3*n**3 + 0*n**5 - 6 + 0*n**6 + n**7 + 0*n. Find the third derivative of i(c) wrt c.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1771 divided by -253?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -11\/7, 0, 0.0111 in ascending order.\nAnswer: -11\/7, 0, 0.0111, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-6*m - 2*m + 7*m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12648 and 108?\nAnswer: 113832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 742863474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-5) - 2\/(-10). Let a = -42.4 - -270.4. Let t = 227.7 - a. Sort 5, b, t in ascending order.\nAnswer: t, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 8*b. Let n(g) = -1. Let m = 19068 - 19069. Determine m*u(h) + 5*n(h).\nAnswer: -8*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*l - 5*l + 0*l)*((-1 + 4 + 0)*(3 + 3 - 4) + 411 + 55 - 214) in the form j + w*l and give w.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmmmmmxmmmm. Give prob of picking 4 m.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 757 and 727477.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6475743.7 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40 * 8026.\nAnswer: -321040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 3*r**2 - 9*r + 7. Let c be a(6). Let m = c + -50. What is the highest common factor of m and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x - 5. Let g(h) = h - 2. Calculate 5*g(l) - 2*o(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 11:56 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/152259639 or 0?\nAnswer: -2\/152259639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen sevenths of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 516449211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94848*r + 90602*r - r**3 - 2*r**3 - 185450*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l - 9. Let h be (-7)\/2 - (-51)\/(-34). Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, 0, -7 in descending order.\nAnswer: 24, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 353 divide 963712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 297373 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03014133 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)*-2)**2 + (2*sqrt(4)\/sqrt(2))**2 + -1.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 78*k**2 - 336*k - 121. What is the hundreds digit of x(71)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) -1\/41  (c) -13  (d) 42.43  (e) 1\/10  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.37 - 0.27. Which is the nearest to h?  (a) -5  (b) 4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24276337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r + 2*r + 8, 0 = 4*d + r - 228. Calculate the remainder when d is divided by -5 + (-119)\/(-5 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -5 - -4 - (9 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -10. What are the prime factors of w\/4*(6 - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of k**2\/2 + 14*k - 3. What are the prime factors of j(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 3*b - 19. Determine x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**3*z**2 + 506*p**3 - p**2*z - 3*p**2 + 5139*p*z**2 wrt p?\nAnswer: 12*p*z**2 + 3036*p - 2*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (12\/16)\/(33\/484)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -133 - -143. Suppose f*x - 7444 = -1304. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(441)*1)\/sqrt(7))\/(1*sqrt(441)*-2 - sqrt(441)).\nAnswer: -5*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 126067 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 + -2 + 4)\/(-2). Factor g*p - 2\/5*p**3 + 3\/5*p**2 - 1\/5.\nAnswer: -(p - 1)**2*(2*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74275384957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0059718 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321 + 4*b**2 - 321.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r + 5*x + 15, -3*x - 6 = -7*r + 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -90 + 130.4. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 16 = -2*f, -5*f - 5*i - 4 = -6*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 6 = 2*h - 3*h, -3*c - 22 = -5*h. Let z = -10 + h. Sort 5, z, -2 in decreasing order.\nAnswer: 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -5*f - 30, -2*f = -3*y - 18 + 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -46.9 - 1.\nAnswer: -47.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-64) + (-13)\/24)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 144032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75887 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - l + 70. Let d be c(0). Suppose g - d = 102. Suppose -2*q = 2*o - g, 2*o - q + 256 = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104 = t + 3*t. Let m be t\/(-8) + (-3)\/12. Let d be m\/(-21) - 58\/(-14). Solve -q = 2, -3*q + 2 = 4*y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 45 = 55. What is the common denominator of 45\/12*c\/(-18) and (39\/(-9))\/((-14)\/(-3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/4*(-14)\/3 - -11. Solve r + 25 = -5*i, w*i - 10 = 6*i + 3*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 381 - 383. Let r be -1 + 1 - (2 - 1). Is (4476\/24)\/(r\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1539*o = 1536*o - 4*k + 35, k - 15 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - 24\/(-30)*(-20)\/(-8). Suppose -i = 9*k - 15. Solve -k = -4*l - 0*l + 3*v, 2*l - 2*v = -2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/31  (b) 4  (c) -17  (d) 7\/10  (e) -0.06  (f) 1\/5  (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 12.4 * 0.5\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**5\/3 + 8*i**4 + 18*i**3 + 28*i**2\/3 = 0?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 325116 and 605?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.0955 and -2?\nAnswer: -14.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1107 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 436341 - 142327 = 14*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l. Let j(x) = x + 5. Let s be j(-7). Let t(w) = -w + 1. Let z(k) = 0 - 8 + 2 + 7*k. Let r(a) = -6*t(a) - z(a). Calculate s*r(b) - 3*h(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 209.413 - -0.1?\nAnswer: 209.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 9 - 4 - 6 + (-3*j - j + 11*j)*(2 + 2 - 3) + 6*j - 3*j - 2*j.\nAnswer: 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13416488 times 3?\nAnswer: 40249464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1542 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3080?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 4:37 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2414871450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -80*i**4 + 476*i**2 - 476*i**2 + (4 + 1 - 3)*(-i**3 + i**3 + i**4).\nAnswer: -78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2 + 115*u + 302. Calculate w(62).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61.9543 - 62. Let m = u + 3.0457. What is the closest to -1\/2 in -5, m, 2, 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 2537600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 881 - 882. What is the closest to -2\/5 in 1, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 6*w**2 - 3*w - 5. Let r be v(-6). Let s = r - 9. Suppose f**5 - 3*f - 2*f**s + f**2 + 3*f + f**4 - f**3 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-135)\/6)\/(-5)*(-3278)\/2682.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(64)\/(sqrt(4) - (sqrt(16) + sqrt(4))*2))\/(sqrt(88)\/(sqrt(132)\/sqrt(48))).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -182 + 158 + -163 + 84.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1365505873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v + 3. Let f be a(11). Let u be 2\/f - 8\/(-32). Determine k so that 4*k**5 - k**2 - 7*k**5 + k**4 + u*k**3 + 2*k**5 + k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 a factor of 4271861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30007 = 4212*m + 50021 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t**2 - 6*t - 46. Let q be n(7). Suppose 5*a = 198 - 48. What is the highest common factor of a and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2947286771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 1539.\nAnswer: 769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16114209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 at most as big as 0.441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-56)\/16 + 316\/72. Solve 8\/9 - 2\/9*y**3 - 2\/9*y**2 + b*y = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(125)*-2 + sqrt(720)*-2 + -2)**2 - (-4 + 3*2*(sqrt(5)*-1)**2*-3).\nAnswer: -136*sqrt(5) + 5878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1012*g - 36 = -1006*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**2 - 9*d - 2. Let p be m(-4). Suppose 30 = 4*g + p*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55 - 8)\/(-63) - (2\/6 + 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -43, -30, 103, 416, 969, 1822, 3035?\n\"Answer: 10*y**3 - 57*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2655238183 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2595 by -519.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/6 + (-520)\/(-3). Suppose 0 = -2*z - r + 579 - 186, z - 4*r - p = 0. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uflm when four letters picked without replacement from muqlvmufvmu.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/8127750 and -149\/12.\nAnswer: 16255500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4392579 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**4\/4 - 4*c**3\/3 - 5*c**2\/2 + 4*c - 1. Let o be w(5). Suppose -o*s + 18 = -6. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-8)*m**(-5))\/(m*m*m**6*m\/(m*m\/(m\/(m\/(m\/(m\/(m\/m**(-7))))))*m*m*m*m)) assuming m is positive.\nAnswer: m**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 30389992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 20*p**2 - 17*p + 2. Let h be g(-3). Suppose h*s - 229*s = 5464. What are the prime factors of s?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 m when four letters picked without replacement from {i: 3, x: 1, m: 2, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 8*x. Let y be k(5). Let r(z) = 2*z + 40. Let t(q) be the third derivative of 5*q**3\/6 + 69*q**2 - 54*q. Calculate y*t(m) - 5*r(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 247*z - 2188. Let r be a(-9). Solve -r + 254 = 23*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/5  (b) 1\/3  (c) 17944\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/56731 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0*i)**(-12))**(-41\/5) assuming i is positive.\nAnswer: i**(492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 + 0.08. Round o to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 943 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -11*s + 0*s**3 + 0*s**2 + 3\/4*s**4 + 5. Differentiate n(t) with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49*j - 42 + 19 + 21 to the form z + u*j and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 14\/84 + (-214)\/(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*i**3 - 5*i**2 + 2*i + 62*i**3 + 4*i**2 + 72 - 28*i**3 to the form h*i + t + n*i**2 + w*i**3 and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -68*j**5 - 128*j**4 + 84*j**3 + 128*j**2 - 16*j = 0.\nAnswer: -2, -1, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + (7 - (7 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*r + 51*r - 56 = 0. Let u = 18 + r. Suppose -i + 0*i - u*k + 63 = 0, k = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, t: 3}. Give prob of sequence oot.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -13*o**3 - 2*o**2 - o. Is 4 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-104)\/234 + 0\/(-2) - (5 + 1434\/54)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(100) + sqrt(100) + 4*sqrt(100)*1 + sqrt(100) + sqrt(100) - sqrt(100) - sqrt(100)))\/(-5*-2*(sqrt(2) + sqrt(50))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 582698 and 582700 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.034*2\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 132219*o**5 - o**4 + 3*o**3 + 28160586*o**2.\nAnswer: 7933140*o**2 - 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2.224 + 1571067\nAnswer: 1571064.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 910 = -82. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(15\/2)*n\/(n*(n\/(n**(-1\/5)\/n))\/n)*n**(8\/5)*n*n**(2\/15) assuming n is positive.\nAnswer: n**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**5\/3 + 2896*v**4\/9 - 150712*v**3\/9 - 33920*v**2\/3 = 0?\nAnswer: -530, -2\/3, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 1:49 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 154936 to the power of 1\/2, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -148, -149, -150, -151?\n\"Answer: -v - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -770 - -766. Which is the nearest to -4?  (a) 0  (b) 2  (c) -0.4  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19060*h**3 + 8173*h**2 - 2?\nAnswer: -114360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/17  (b) 1\/5  (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001590119589 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 6*y + 18. Calculate the remainder when c(-6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 9*u - 4*b = -880, -2*u + b = -1724. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -411 divided by 4\nAnswer: -411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1084\/(-813)*(-28)\/8*6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5088981 and 5.\nAnswer: 25444905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 903205 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -1. Let i(a) be the second derivative of a**3\/6 + 3*a**2 - 13*a. Let c(t) = -i(t) - 4*n(t). Let r = -12 + 18. Calculate c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10977 + 10977 + 64*a**2 to the form r*a**2 + c + w*a and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 0, -1, 8, 3 in increasing order.\nAnswer: -8, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 192 by 49.\nAnswer: 192\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32863.\nAnswer: 59, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-6*-2*sqrt(70) + 5*sqrt(70)*2)\/(2*1*sqrt(10) - sqrt(10) - sqrt(30)\/(sqrt(3) + sqrt(12)\/sqrt(4))).\nAnswer: -176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*n - 0. Let s = 9861 + -9861.6. Put s, 0.05, n in descending order.\nAnswer: n, 0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13\/(-2*4\/56). Let r = j - -92. Solve -r - 5 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + (3 - (-1)\/4). Which is the second biggest value?  (a) -1  (b) 0.3  (c) z  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -6, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzwlzxxwzbzzzwzzwzzw. What is prob of picking 1 l, 1 z, and 2 w?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1 = -z, 5*h - 7*h - 7 = -z. Let y = 6 + h. Suppose -3*p = t, t + 3*p - y*p - 4 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 13*r**2 + 6. What is the remainder when l(13) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4*1\/(-3))\/((-23)\/(-138)). Suppose 0*v - c = -v. Solve 13*h - v*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4016*b - 97228 - 35012 = -710*b for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o**2 + 298*o - 1813 - 18*o - 19*o + 173*o with respect to o.\nAnswer: -2*o + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 108*o**5 + 5*o**4 + 474*o**3 - 221326*o**2 + 13*o + 2?\nAnswer: 6480*o**2 + 120*o + 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 39839 (base 14) to base 3\nAnswer: 21012012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11 - -20) + (-2)\/(-1) + 1. Solve 0 = -3*b - y, 4*m + 8*b = 11*b + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q - 5. Let u be z(7). What are the prime factors of -1*2\/(u\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5014 - 4996. Which is the third biggest value?  (a) 1\/4  (b) -0.2  (c) t  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2*y - 36 = 0, 3*d + 13*y - 50 = 14*y. What is the remainder when 141 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**4)\/((p\/p**(5\/7)*p)\/p))**(4\/17) assuming p is positive.\nAnswer: p**(-64\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1011 (base 2) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1509158654 to the nearest integer?\nAnswer: 38848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 + -50. Let p be ((-2)\/(-8))\/(f\/(-60)). Suppose -3*m + 2 + 12 = -2*g, m = g + 6. Solve m*s - 15 = -p*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -2. Let j = 3 - n. Suppose 2*p - 5 = 4*t + 27, 32 = 5*p + j*t. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2537726582 to 6 dps.\nAnswer: -0.253773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 6*o - 6. Let a(x) = 2*x**2 + 11*x - 11. Let l(b) = 6*a(b) - 11*j(b). Let n(i) = -2*i. Determine l(n(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 3*m**2. Let v = 44 + -41. Let x(g) be the first derivative of -7 + g**3 - 3*g**3 + 3*g**3. Calculate v*x(k) + 3*p(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c - 9. Let u be p(-7). Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2204651279\/1094616 - 23\/47592. Let o = x + 2015. Find the common denominator of o and -7\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 51\/28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51337963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 62944958161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/((-55080)\/(-750) - 74)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19682 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-96))\/(12\/32*(-16)\/24)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**3 - 2*k**3 - 2*k**3 + 3*k**2 - 3*k**2 - 3*k**3 - k**3 - 2*k**3 + 5*k**3 + (-4*k**2 + 4*k**2 + k**2)*(-4*k + 3*k + 0*k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48965, -48966, -48967, -48968, -48969?\nAnswer: -48970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2777*q**2 + 12900*q.\nAnswer: -5554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**5\/20 + 21*v**2. Let h(j) = j**2. What is h(a(m))?\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((108\/(-8))\/(-9))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49975 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) 306\/3875  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 626993003 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v. Let i(f) = 28*f - 4. Let q(w) = i(w) + 24*t(w). Let j be q(-2). Let m be 3\/4 + (-3)\/j. Solve -5 - m = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15495863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1700 - 1952*r**2 + r + 3894*r**2 - 1778 - 1944*r**2.\nAnswer: -2*r**2 + r - 3478","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 - 99. Suppose 2*v - 2*p - 80 = v, -150 = -2*v + 2*p. Let i = v - h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04785*4\nAnswer: -0.1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -54 + 251283?\nAnswer: 25122b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 112021 (base 3) in base 9?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 times 5990885?\nAnswer: 215671860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 + (5 - (-29 + -17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.182976 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 636\/(-36)*(-9)\/(-33) + 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + g + 2)*(-4 + 1 + 5)*(2*g + 0 + 0).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2645288 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 104\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 53\/192914 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yblfflylbly. Give prob of picking 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 20 - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p**2 - 210193*p + 210193*p. Let w(i) = -304*i**2 + 1. Give w(x(t)).\nAnswer: -1216*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 52519699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o + 1. Calculate s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 2*i - 6*i)*(-60 + 10*i**2 + 60) - i**3 + 0*i**3 - i**3 + 1 + 47*i**3 - 6637*i**2 + 6637*i**2.\nAnswer: 35*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4424 and 67624?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**2. Let b(w) be the first derivative of -w**3\/6 - 63*w**2\/2 + 288*w + 94. Let h(r) be the first derivative of b(r). Give h(s(d)).\nAnswer: 2*d**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 646857437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 188478 (base 10) to base 3\nAnswer: 100120112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*o**2 + 9*o**2 - o**2)*(2 - 5 - 4) as d*o**2 + n + b*o and give d.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (33860\/40)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*i = -4*l - 14, i + 5*l = -13. Let w(s) = 0*s + 0*s - 2*s**i. Let g(n) = 2*n - 479 - 480 + 959. Give w(g(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 + 0*l**3 + 4*l**3 + (0*l**2 - 4*l**2 + 5*l**2)*(-3*l + 4*l + 3*l) + l**3 + 1 - 1.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.5, 93, -3\/10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 1835, 1, 2, 0.\nAnswer: -27, 0, 1, 2, 1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14333408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 370553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 614119574, 614119572, 614119570, 614119568?\n\"Answer: -2*d + 614119576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 0 + u**5 + 4 + ((5*u + u + 6*u)*(5*u - u - u) + 10*u - 10*u + 11*u**2)*(-1 + 1 + 2)*(-u**3 - 3*u**3 + 2*u**3).\nAnswer: -187*u**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 6:54 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 11*h + 50. Let g be (2 + 3 + 42)*(7 + 0). Suppose 3*c - 4*p = g, 2*p = 2*c + 7*p - 181. Calculate the remainder when c is divided by k(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1*(-8)\/10)\/((-994)\/7455). Let c(y) = 132*y**2 + 39. Let w(g) = -7*g**2 - 2. Give u*c(h) + 117*w(h).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -34729, -3.\nAnswer: -34729, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + d6db15?\nAnswer: d6db13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/((-420)\/(-441))*16*6\/9*-1?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 15*f - 330. Let n be d(22). Solve n = 13*o - 9 - 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -195983832 divided by 3.\nAnswer: -65327944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2288\/(-264) + 4\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66258751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-297)\/(-1320) + 2\/(-16))*8\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 + -8)*((-7)\/(-4) - 1). Let h(k) = -k**2 - 5*k. Give h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0\/j)**28\/(j\/j**(2\/13))**7 assuming j is positive.\nAnswer: j**(-441\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.9 + -253.1. Let x = 259.2 + k. Sort x, -3, 0, 0.1 in decreasing order.\nAnswer: x, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 19*k. Let p(o) = 68*o**2 + 129*o**2 + 546 - 546 + 19*o**2. Give p(a(r)).\nAnswer: 77976*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d - 85*c = -88*c + 6, -4*c + 8 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 4, 21, 2.\nAnswer: 0, 1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*c - 43*c + 2*c**2 + 0*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 13 = 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does -15\/19003 = -135\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-378)\/(-99) + -4)\/(-2))\/(49\/9163).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1342, -2038, -2086, -1480, -214?\n\"Answer: g**3 + 318*g**2 - 1657*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 + 4*h + 9*h**2 - 4*h.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12832050 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1821*m**2 + 31*m**3 + 868*m**2 + 80 - 5*m**4 + 878*m**2 + 19*m**3 - 50*m = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5\/3*b - 8\/3 - 1\/6*b**2 = 0. What is b?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 + 62. What is the remainder when 128 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 1\/23251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.44566 * -8\nAnswer: -3.56528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379941237.\nAnswer: 3, 13, 249797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-6))\/((-8)\/(-12)). Sort 4, h, 3 in ascending order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 5*a**2 - 9*a - 8. Let o be -1*(7 - (-1)\/(-1)). Let w be i(o). Suppose -238*l - 50 = -248*l. Solve -l*v - w = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 10. Let s be z(-11). What is the units digit of (-502)\/(-6) - s\/((-12)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59040 divided by -240.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 1756 in descending order.\nAnswer: 1756, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s + 1. Let m be r(-8). Let u(l) = l**2 + 5*l - 11. Let p be u(m). Let w be p*3\/12*4. Put -5, w, 1 in ascending order.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4141*w + 3*f + 60 = -4144*w, -89*w - 4*f = -260 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(3\/((-138)\/115)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7281210129 to the power of 1\/2, to the nearest integer?\nAnswer: 85330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -28*o**5\/5 - 564*o**4 - 94868*o**3\/5 - 1111228*o**2\/5 - 1591296*o\/5 + 109520 = 0.\nAnswer: -37, -25, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 6. Suppose 0*f - b = -2*f. Suppose a - 2 = -0*a - s, -3*s = 2*a - f. Put a, 1, -5 in decreasing order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 1:06 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -69732767 divided by 4\nAnswer: -69732767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2293210102?\nAnswer: 2, 1146605051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4165 at least as big as -4165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, z: 10}. Give prob of picking 2 z and 2 j.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1701700 and 19890000?\nAnswer: 1531530000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-21)*(-10)\/(120\/36)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**3 + 33*l**2 + 87*l - 14. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 31527327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 94*j**3 + j**2 + 4*j + 2. Let u(x) = x + 1. What is r(n) - 4*u(n)?\nAnswer: 94*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16\/7 + 103\/42. Let p(s) be the second derivative of g*s**3 + 0*s**2 - 2*s - 1\/12*s**4 + 0. Find the second derivative of p(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -159*b**5\/5 + 26*b**2 + 68. What is the second derivative of t(p) wrt p?\nAnswer: -1908*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 1  (c) -2\/9  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4920699?\nAnswer: 3, 7, 234319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, c: 1}. Give prob of sequence oc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 - -635311.884817.\nAnswer: 635311.824817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 107*v**3 - 6*v**2 + 2*v + 5. Let o be t(4). Let z = o + -1465. What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*f + 14*f - 9*f)*(27*f**2 + 34*f - 34*f).\nAnswer: 405*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/((-1134)\/45)*(-6)\/15*-18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41294 or 41293?\nAnswer: 41294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.5 + 6. Let s = b - -0.3. Let g be ((-9)\/(-42))\/(3\/8). What is the closest to s in g, -2\/19, 1\/6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k + 4. Let y = 13 - 27. Let j = -19 - y. What is m(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 2 - 34 = 0. Solve -5*a + j = -2*p, -2*a - a + 16 = 5*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.5, 1\/5, 4, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -0.02, -373?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2220 - 202022102?\nAnswer: -202012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**5\/2 - 11*j**4\/4 + 4*j**3 - j**2\/4 - 3*j\/2 = 0. Calculate j.\nAnswer: -1\/2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 303, 299, 261, 171, 11, -237?\n\"Answer: -3*i**3 + i**2 + 14*i + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 57*u. Suppose 3*i = 2*z + 232 + 2, 4*z + i + 468 = 0. Let o(j) = -3*j. Give z*o(c) - 6*t(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*n**3 + 12 + 14 + 38*n**3 + (7*n**2 - 5*n + 5*n)*(-3*n + 0*n + 2*n) in the form f*n + t + c*n**3 + d*n**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 289738376.\nAnswer: 2028168632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + t. Suppose -3*q + 1 = 4*c, -3*q = -4*c + 48 - 17. Let w be 90\/8 + 21\/28. Suppose w = -c*y + 4. Give g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43012530 - -1?\nAnswer: -43012526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 + 386. Let q = x - 458. Let k(v) = -v**3 - v**2 + 3*v - 1. Calculate the remainder when k(-4) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 0. Let n(u) = 1 + x*u - u + 1 - 11. What is the tens digit of n(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 5) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11605763 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 142913*a**2*o**3 - 64*a*o**3 - o**3 + 390*o**2 wrt a.\nAnswer: 285826*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(2304\/27)*(-2)\/(-3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 8 - 11*q**3 - 8 + 6*q**3 + 4*q**3.\nAnswer: -q**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (205\/15 - 7)\/(((-4)\/(-4))\/453). What is the highest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 9449*t - 293086. Calculate y(31).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -24  (b) 4.2  (c) 0.5  (d) 0.1  (e) -2\/151\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000838 to 7 dps.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 36, 3 in increasing order.\nAnswer: -1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -199297, -797175, -1793633, -3188671, -4982289, -7174487, -9765265?\n\"Answer: -199290*b**2 - 8*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1541665 is divided by 770796?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-9))\/(3\/(-18)). Suppose 0 = -0*n - a*n + 5*r - 28, -3*n + 3*r = 18. Let q be (-10)\/4 - 2\/(-4). Is n greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -106 and -0.1.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 298906 by -298906.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 39434188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 5, 69, -1, 7, 55, -0.3 in increasing order.\nAnswer: -1, -0.3, 0.2, 5, 7, 55, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.4, 0.01, -6, 40\/7, 3\/2, 781?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f - 3*f - 4*f. Let b be p(-1). Let l(g) = g - 2. Let y be l(4). Solve -y*z = z + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -2*c - 0*b - 102403, 0 = -3*c - 2*b - 153598. Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -3*i - 2. Let v be -1 + (1 - (-1 - i)). Let q(l) = 7*l + 3 - 6*l + 0*l - 5. Determine q(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6799 is divided by 6727?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/((-660)\/1104) + 6\/10. Sort -8, z, 2, -4 in ascending order.\nAnswer: -8, -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of 1601*m**6\/20 + 457*m**5\/60 + m**4\/12 - m**3\/6 + 4145*m**2. Find the third derivative of l(v) wrt v.\nAnswer: 57636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**2 + 36*d - 593. Determine o(-30).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 470 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120840.\nAnswer: 2, 3, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10, k: 4}. What is prob of sequence kh?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*o**2*x**3 + 259*o**2 + 3*x**3 with respect to x.\nAnswer: 15*o**2*x**2 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.029119206\nAnswer: 0.0087357618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -4*y**3\/3 + 7*y**2\/2 + 2*y. Let o(w) = 7*w - 2 + 5 - 9. What is -7*o(q) - 6*r(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2033975068?\nAnswer: 2, 41, 12402287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 2*k + 5 = 0, -5*b - 12*k = -39*k + 10*k - 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8814767209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 36*c**3 + 3*c**2 - c - 1. Is i(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + d + 46 = 4*d, 19*k - 6*d + 531 = -7*d + 6*d for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 28 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 541 divide 220545142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1 = -r - 0*a, -22 = -5*r - 4*a. Solve -3*v - r = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14344)\/55)\/(-2 - (-16)\/10). Let k(t) = -v*t - 651*t + 1305*t. Let i(q) = -24*q - 3. Determine i(k(c)).\nAnswer: -48*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/34*212\/265\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 50, 110, 194, 302?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0065367115 to seven decimal places.\nAnswer: -0.0065367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1218*b**2*y**2 + 3*b + 154*y**2 wrt b?\nAnswer: -2436*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 10*d = 4*w - 16, 5*w = 3*d + 18. What is u in u**3 - 123*u**4 + 12*u - 3*u**w - 2*u**3 + 121*u**4 + 10*u**2 = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -1\/674  (c) -3  (d) 22  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 0 = -s. Suppose n + 6 = s*n. Suppose -3*v - r = 2*r - 15, -4*v = -5*r - 2. Solve 0*i = v*i + 3*k + n, i = -3*k - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 134, -636, -6, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -138 + 66. Let v be (-119)\/(-9) - (-16)\/u. Suppose v*b - 16*b = -102. Calculate the remainder when 135 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(-2 + 6 - 16)*(69 - 69 + 28*u).\nAnswer: 672*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1\/5*20\/(-32)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 19, 2 in descending order.\nAnswer: 19, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n**(1\/6)\/n*n)))\/((n*(n**5*n)\/n)\/n))**35*(n**1\/((n*n**(-1\/12))\/n))\/((n*n\/(n**(1\/2)*n*n)*n)\/n**(-6)) assuming n is positive.\nAnswer: n**(-2095\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3845 a factor of 279896641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-9898248)\/(-67728) + 15\/(-102)\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.8 + 3.6. What is the nearest to 2 in -1, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p = -7*p. Suppose -s + 4*s - 465 = p. Suppose 6*x = x + s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1\/908465360?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2292 and 2.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -73.1 + 73. Do -6 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/3 + 40\/15. Suppose p*a + 332 = 7*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c + 6*c + c)*(-c + 3*c + 0*c) - c**2 - c**2 + c**2 + 7*c**2 + 7*c**2 + 9*c**2.\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30\/7?  (a) -1  (b) 1  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*y + 1116 = -3*y. Solve 0 = -4*m - 5*r + 21 - y, 5*r = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 7:37 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4252183894?\nAnswer: 2, 7, 71, 4277851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-56)\/(-12) - 5)*0\/1. Let k = -1 - -5. Solve b*i - 12 = 4*l - i, 2*i + k = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26840 divided by 6710.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 - 48*n + 13 + 9 as j + p*n and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 73 = -47. Suppose 4*f - 12 = j. Find the second derivative of 23*a - 3*a**3 - 6*a - f*a + 17*a**3 wrt a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36\/8 - (-2 - 2)\/8. Is d < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l - 10. Let b be g(4). Suppose b*a = -d + 26 - 0, 4*a = -3*d + 52. Suppose a*n = -12051 + 48178. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 3329*u**6\/3 - 5355*u**2\/2 - 4084. What is the second derivative of m(n) wrt n?\nAnswer: 133160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3 + sqrt(68)\/sqrt(4) + 2.\nAnswer: sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 6 = -2*m, -5*v = -3*v - 3*m - 19. Suppose v*k = i - 8, -i - 3*k - 3 + 1 = 0. Is 15 a factor of 996\/33 + i\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 2*q - 2. Give p(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2040 divided by 4?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -522, -520, -516, -510?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33190 and 21493844?\nAnswer: 6638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 254*m + 718. Let k(x) = 169*x + 480. Let b(d) = -5*a(d) + 7*k(d). List the prime factors of b(-16).\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9.7 - -10. Let f be (-3 + 4)\/((-4)\/(-1)). Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.625*26748.\nAnswer: -203953.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/8 and -49\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l + 3. Suppose p - 3*o + 4*o = -8, 4*p - 3*o = -25. Let k = p - -3. Let t be c(k). Is -4\/15 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -35, -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.107855 and 1227430387.\nAnswer: 1227430387.107855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 44 - 16*r - 6*r**3 + 27 in the form y*r**2 + b + v*r + x*r**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w**2. Let a(z) = -13*z. What is q(a(v))?\nAnswer: 676*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 382 less than -1558?\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -s + 48, 0 = -3*s - 2*o - 113 + 245. Solve -10*j - s = -24*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 48*b**2 + 36*b - 403. List the prime factors of q(13).\nAnswer: 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -47*i**2 - 17*i + 62. Let h(f) = -204*f**2 - 67*f + 248. Give 3*h(r) - 13*m(r).\nAnswer: -r**2 + 20*r - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-162*z - 76*z - 92*z)*(1 + 0 + 1) + (1 - 1 - 2*z)*(2 - 5 + 2) in the form l + k*z and give k.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 354*q - 16699. What is b(56)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 6 = -4. Suppose 192 = m*t - 912. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2525 + 25357\/10. Calculate the common denominator of j and 1\/3 + (-37)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 14737596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/65, -2, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 3*g + 3. Let v be 3\/(-3 - 72\/(-20)). Suppose 2 = -3*d + v*d. Suppose 1 = -s - d. What is w(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-56)*14*10\/(-70).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0234?  (a) -24\/17  (b) 15  (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 883 - 1707\/2. Is 30 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 620 is divided by 76.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20667 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 7:58 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3\/68 - -173\/68. Is 0.1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 0*t = -t - 135, t - 145 = -5*n. Let u be ((-4)\/14)\/((-36)\/n). Which is bigger: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) 1\/4  (c) 0.943  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -2*p - 6, 740*o + 5*p - 27 = 737*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.7 - 5.8. Let h(d) = d**3 - 5*d**2 - 7*d + 5. Let o be h(6). Which is the nearest to r?  (a) -0.5  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 7:53 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-7564.637.\nAnswer: 226.93911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/20 + (-22)\/(-5). Let k(q) = 8*q - 4. Let u be k(2). Let p be u\/9*(1 - -5). Solve 2*x + p = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-9)*18\/(-6)*-12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of 5*h**4\/12 + 446*h**2. Let r(u) be the first derivative of 2 + 0*u + 1\/2*u**2. What is z(r(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, -5, -0.2, 0.018, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 160\/(-60) + 6\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2207297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from yvnyynevyv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 1002*c - 5*c**2 - 2157*c + 1068*c in the form k*c + u*c**2 + g and give k.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.21 + 16. Let f = v - 0.69. Let r = 0.86 - f. Round r to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u. Let h(l) = 299*l. Calculate r(h(s)).\nAnswer: -598*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u - 2*u**2 + 24 - 24)*(-1272*u**2 - 8634*u + 8634*u).\nAnswer: 2544*u**4 - 6360*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 96\/(-72)*-2*3\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 570*(-16)\/(-120)*2\/(-4)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 4. Suppose o = -3*v - 2*v - 5. Let n = 865\/7 - 124. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9863640 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0149 and 0.8.\nAnswer: 0.8149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 136 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v = 3*l - 49, 0 = -4*l + 3*v + 64. Suppose -3*y = -2 - l. Calculate the lowest common multiple of 3 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*k = -16, -3*o = -6*o + 4*k - 11. Let j be o + 104\/(-28) - -1. Let l = 0.3 + -0.6. Which is the nearest to -1?  (a) 0  (b) l  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 18*q + 14 = 0. Suppose -18*t = -q*t - 884. Let y = t - 129. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 8 = -3*q. Let a be -1 - 4\/(1*-1). Suppose 3*j = 3, 2*m + 0*j - 5*j - a = q. Let b(d) = -2*d + 4. Give b(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2 + (-4 + (sqrt(20)\/sqrt(36) - (sqrt(605) - (1 + sqrt(605)))))**2.\nAnswer: -2*sqrt(5) + 59\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 4) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 2*z - 3*p - 147, -3*p = -5*z + 377. Let g = 225 - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-53)\/(-14)*(-28 + 26)*-11. Which is bigger: 83 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-184)\/161)\/(8\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 + 2*n - 1. Let c be b(-2). Let w = -7 + 11. Let m be (-2)\/w*0 - 0. Solve m*z - c = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010223 (base 4) to base 5.\nAnswer: 120040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 26 = 22. Let g = -17.3 + 17. Suppose -3*v - 12 = -6*v. Which is the third biggest value?  (a) v  (b) g  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, v: 6}. Give prob of picking 1 v and 1 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -171283.9 + 171284. Let x = 178.8 + -14.8. What is the smallest value in -1\/10, x, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 52202, 104400, 156598, 208796, 260994?\n\"Answer: 52198*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 5*i**2 - 207*i - 2579. Determine j(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -769\/270 - -2\/135. Suppose -6*i = 4*i + 420. Calculate the common denominator of i and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {h: 2, g: 1, v: 5, m: 3, q: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 5. Let u(f) = -3*f**2 - 14. What is -3*u(o) - 8*x(o)?\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 3 + 5)*(-11*m + 59*m - 122*m - 2*m - 2 + 2 + (m - 3*m + 0*m)*(6 - 2 - 2) - 3 - 2*m + 3) - 2*m - 2*m + m)*(-4 + 0 + 1).\nAnswer: -483*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 3 - 5. Suppose 3*h - 2 - l = 0. Suppose -3*w - h*c = -57, 2*w - 52 + 14 = 3*c. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2300487 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 1137 = -2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19.6 + -10.8. Round b to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y**3 + 5*y**2 - 5*y + 9. Let z(v) = -2*v**3 - 3*v**2 + 3*v - 4. What is -3*x(n) - 5*z(n)?\nAnswer: n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7010 and 2560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -5, 0.9, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.3, -2\/5, -3\/26, -20\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 822793529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m + 40*m**2 - 31*m**2 - 32*m**2.\nAnswer: -23*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/550 and -81\/16850?\nAnswer: 185350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 1. Let z be a(-1). Factor 6*v - 4*v**3 - z*v**3 + 3 - 3*v**4 + 3*v**2 - 3*v**2.\nAnswer: -3*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-12)*(-12)\/9)\/(-1)*1200\/1600.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12064843*k**3 + 12065251*k**3 - 2*k**2 + 0*k**2 + 2*k**2.\nAnswer: 408*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 733 = 4*x, j + 4*x - 1179 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 3*k + 2. Let b be l(-3). Suppose a = b*a - 13. Let z be 104*(-1 + 2)\/1. Calculate the greatest common factor of z and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 889, 3097, 6759, 11875, 18445, 26469?\nAnswer: 35947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5\/9 - 1525*l**4\/9 - 7738*l**3\/3 + 175804*l**2\/9 - 375928*l\/9 + 86240\/3 = 0 for l.\nAnswer: -21, 2, 1540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 23586, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1477928 by 369482.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 712 divided by 2\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o. Suppose -7*z + 3*z = -5*q - 2, z = 5*q - 7. Let v = 7 + -5. Let i(r) = z*r**v + r**2 - 6*r**2. Give i(a(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 = 4*o - 4, -14 = -4*o - 3*a. Suppose o + 4 = 2*b. What is the units digit of ((-4)\/b + 1)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -113687 or -6486?\nAnswer: -113687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -93 divided by 153005\nAnswer: -93\/153005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/(656\/220 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11513 take away -0.6?\nAnswer: 11513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 21 + -9bd6?\nAnswer: -9bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.02, 26278, 25?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**2 + 922*p + 1848 = 0 for p.\nAnswer: -2, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 32*r - 12495. Let i(y) = -4*y + 1559. Give -17*i(u) - 2*n(u).\nAnswer: 4*u - 1513","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from tnjnntjnjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (0 + sqrt(17))**2 + -5 - ((-1*4*sqrt(68))\/sqrt(4))**2)*4.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/51)\/(98\/4165). Solve 21*d - 3*i - w = 20*d, -5*d - 17 = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -i + 467, -3*i = -9*w + 4*w - 1421. Suppose 0 = 29*g - 33*g + i. Let p = g + -28. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1144211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -16. Suppose -2*i - 3*a + 2 = -3*i, -s*a + 7 = 5*i. Sort 5, 3, i in ascending order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 - (-6 - 2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -7 + (30 - (26 + 4)) + (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12555611?\nAnswer: 701, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -174619.\nAnswer: 174619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2088 + -133. Suppose -5*g - 5*h + x = 0, -34*g = -29*g - 3*h - 1947. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003786 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -m**2\/3 - 387437*m\/3 + 1937260 = 0.\nAnswer: -387452, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1.31+6508\nAnswer: 6506.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 79 = -3*f + 53*o - 50*o, 3*f - 6*o + 155 = 10*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37848 is divided by 6300.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lzz when three letters picked without replacement from {z: 1, h: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 5, -0.01, -0.2 in decreasing order.\nAnswer: 5, 0.3, -0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = m - 12 - 21, -64 = -4*m + 3*t. Suppose 0*j - m*j = 65. What is the smallest value in j, 12, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (5 - (-106)\/(-24))*(-11)\/(-112) and -33\/640?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/75, -9850, 0.5 in ascending order.\nAnswer: -9850, -4\/75, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 21\/2, 9, 3, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrn when three letters picked without replacement from {n: 4, y: 1, v: 2, k: 4, r: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -941 - -940.9. Sort 1\/231, i, -5.\nAnswer: -5, i, 1\/231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j - 8. Let y be i(6). Suppose 2*h - y = -6. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 131008 and 736.\nAnswer: 131008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**9)**2 assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 5:19 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 157, 172, 53, -194, -563, -1048, -1643?\n\"Answer: q**3 - 73*q**2 + 227*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r. Let l(d) = -601*d**2 - 526*d**2 + 98*d**2 - 16*d**2 - 351*d**2. What is y(l(p))?\nAnswer: -2792*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 92*s - 5815. What is h(-43)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(64\/15)*(-117)\/(353925\/(-220)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v**3 + 13*v**2 + 39*v - 3. Let r be g(-4). Are 367 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 + -32. Let z be (16\/(-4))\/(p - -1). Let g = 7 + z. Calculate the lowest common multiple of g and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11371738 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.2 - 3.6. What is the second smallest value in 1, -3\/11, g?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/1200*-16)\/(2\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7972.8454 + 1.1546. Let j = -7931.19 + z. What is j rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7056 and 64232?\nAnswer: 8093232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l + 8. Let m(h) = -3*h + 31. Let b be m(13). Let j be i(b). Solve 6*p - 4*p = j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/594 and 7\/15737086.\nAnswer: 4673914542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1694681139 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7306\/27 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76116932?\nAnswer: 2, 479, 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160978.\nAnswer: 2, 80489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3857 and 69559.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.008 and 27.6?\nAnswer: -83.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/30)\/(6300\/(-6000)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g. Let u(s) be the third derivative of s**4\/24 + 10*s**2. Suppose -18*c = -2*c + 192. Let f be (-14)\/2 + (-4)\/(-2). What is c*u(z) + f*v(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 25365339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -20528102, -20528106, -20528110?\n\"Answer: -4*f - 20528098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9718327 is divided by 128.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1150 = -4*f, 3*f - 868 = 4*y + y. Let d = f + 201. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -41 or 120320?\nAnswer: 120320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -5) + (0 - -1) - 0. Put -0.2, a, 3\/2, 0.1 in descending order.\nAnswer: a, 3\/2, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5\/5 - 8*j**4 - 288*j**3\/5 - 164*j**2 - 70*j + 300 = 0. Calculate j.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38500157 is divided by 1662.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (164988830\/(-492338) - -335) + 4\/46\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 7.3. Let p = 1.7 - n. Which is the closest to 0.06?  (a) 1\/5  (b) 0.5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41810856 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.3 in -1\/3, 3, -2\/79, -4?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111000111101 - 10001000010?\nAnswer: 1100111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.6 + -0.2. Let i = g - 1.5. What is the third smallest value in i, -2, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**5\/60 + 5*h**4\/24 - h**3\/2 + 3*h**2. What is the remainder when f(-7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*i**5 + 1427*i**4 - 718*i**4 - 714*i**4 + (-i**3 - i**3 + i**3)*(3*i**2 - i**2 + 0*i**2).\nAnswer: 9*i**5 - 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n**2 - 3*n - 1. Let a be y(-3). Let c = 4 - a. Let g(j) = -4*j - 4. What is the remainder when c is divided by g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -0.5  (b) -0.1  (c) 285  (d) 0.3  (e) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*z + d, 4*z - z = -5*d + 34. Let x(r) = z*r - 23 + 23. Let k(j) = -5*j. Determine x(k(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -543 - -560. Calculate the remainder when 230 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11 - 2\/(-1)) + 3. Let w be o\/14 + (-872)\/56. Let u = -7 - w. What is the lowest common multiple of 5 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (1 + -2) - (10 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -h**6\/105 + h**5\/35 + h**4\/14 - 4*h**3\/21 - 7*h**2. Solve y(g) = 0 for g.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001962977 rounded to 7 dps?\nAnswer: 0.001963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 11:05 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 256 and 344588?\nAnswer: 22053632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 12 = -5*p. Let i(b) = -4*b + p*b + b. Let z(q) be the third derivative of -q**5\/60 - 5*q**2 - 5. Calculate z(i(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*u - 126*u = -18 + 72 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1051.39 + -2?\nAnswer: -1053.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i*i**(-1)*i*i**(8\/9)*i*i*i assuming i is positive.\nAnswer: i**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5184) - (sqrt(5184) - sqrt(5184)*-4) - sqrt(36))\/(sqrt(12) + (sqrt(12) + sqrt(108)\/sqrt(9))*3).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/48*0*(-2)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 4*j + 30, 0 = -4*g - 7*j + 2*j + 57. Suppose -4*a = -13*a + g. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 47874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 285 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2028 and 1760148.\nAnswer: 22881924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 1. Suppose t = -2*c - 5*f - 5 + 3, -10 = -4*c - 3*f. Suppose -2*u = 3*u - 10, -3*u = c*n - 58. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 14 - 6 = 2*h, 3*h = -4*g + 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -913792 and -913616 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 - 13.9. Let m = 13.93 + o. Is m smaller than 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*n**3*s + 4*n**2*s**3 - 2*n + 1819*s**3 wrt n.\nAnswer: 9*n**2*s + 8*n*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (240\/63 + -4)\/((-30)\/(-7)). Is c less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*a = -0*a - 31558. Calculate the remainder when a is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmd. Give prob of picking 2 m and 1 d.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 632299*b - 1239060 wrt b.\nAnswer: 632299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {b: 2, e: 2, t: 1, y: 2, i: 1, c: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -42351?\nAnswer: -42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u\/(u\/((u\/(u**(-3\/13)\/u))\/u))))\/(u\/(u*u**(7\/4))) assuming u is positive.\nAnswer: u**(27\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + -1. Let i(n) = 2469*n + 24687. Let l be i(-10). Let d be 54\/10 - 2\/5. Sort l, d, w, 4 in decreasing order.\nAnswer: d, 4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 4*m**3 - 104*m**2 - 500*m + 600 = 0.\nAnswer: -5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-16)*(25\/300)\/(1\/(-116))\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 127*d - 23 = -126*d, 0 = r + 5*d - 11 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12129935 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - 2*r + r)*(3 + 5 + 1)*(25 - 14 + 8).\nAnswer: -171*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*o + 0*o + 3*o + 11*o**5 wrt o.\nAnswer: 220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2399 divided by 339.\nAnswer: 2399\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*t = -0*t - 171, -p + 39 = -2*t. Let h = 1 + p. Calculate the greatest common divisor of 51 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -60488917\nAnswer: -1\/60488917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.10027 - -0.10027. Which is the third smallest value?  (a) -0.4  (b) 0.15  (c) -7  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -149 by 40.\nAnswer: -149\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10692208, -1\/7, 2\/7 in decreasing order.\nAnswer: 2\/7, -1\/7, -10692208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 503 + 72\/34 + (-24)\/204 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3062.491 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 45185.\nAnswer: -1\/45185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 75*l**2. Let t(y) = 6*y. Give t(s(d)).\nAnswer: 450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**3\/3 + 4*q**2 - 8*q - 6. Let z(r) = -r**2 - 5*r + 5. Let u(j) = 9*j + 62. Let w be u(-6). Calculate w*z(i) + 5*h(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83.969 + -83.6. What is q rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/14452 and 93\/40.\nAnswer: 144520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3476718976.\nAnswer: 2, 67, 405401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -111207.7 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -j**7\/840 + j**6\/45 - j**5\/30 + j**4\/8 - 8*j**3\/3 - 7. Let x(y) be the third derivative of r(y). Does 5 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**1)**(-10\/13)*(h**1\/h)**(-41) assuming h is positive.\nAnswer: h**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*p - 44 = -62 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39974911 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: Factor f**2\/5 - 570698362*f\/5 + 81424155097370761\/5.\nAnswer: (f - 285349181)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/217 and 83\/42.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o**3 - 10*o**2 - 3*o. Let b(f) = 4*f**3 - 15*f**2 - 5*f. Let y(t) = -5*b(t) + 7*i(t). Give y(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032136 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1517713, -1517712, -1517711, -1517710, -1517709?\n\"Answer: h - 1517714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -468.79 + 468.71. Which is the nearest to -0.07?  (a) 1\/4  (b) -64  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29b4 (base 15) to base 16\nAnswer: 22f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.13 - -0.13. Suppose 4*z - 2*z = -2. Let h = 3 - z. What is the biggest value in b, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21677409 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138, 272, 406, 540?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 5*p**2 - 6*p + 7. Let k be i(-6). Let g = 142 + -536. Let u = 3153\/8 + g. What is the second smallest value in -4, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -2, -6 in descending order.\nAnswer: -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7980 + 8043. What is the greatest common factor of 56 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -79 + 135*l - 57*l - 64*l to the form k*l + u and give u.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10692*q**3 - 10636*q**3 + 21335*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -556*y - 44. Is 46 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * -726.1.\nAnswer: 580.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -42622, -37, -10 in decreasing order.\nAnswer: 0, -10, -37, -42622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((40\/(-25))\/4)\/(9\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -12*h + 4276, 2*h - 7*d = -5*d + 710. Solve -346*m + h*m = -30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/8400 and -153\/166250?\nAnswer: 3990000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 378, 743, 1092, 1425, 1742, 2043, 2328?\nAnswer: 2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z + 20 = 12*z, 3*m - 8*z = 9*m - 3 - 35 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6614 and 2765706?\nAnswer: 2759092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00022277 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p - 4. Calculate the remainder when 78 is divided by o(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-36)\/(-48)*-4 - -81. What is the highest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 70771451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*b**3 - 2*b**2 + 22*b**3 - 9 - 12*b**3 + 2*b to the form y + i*b + u*b**2 + d*b**3 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-3 + (-16 - -7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99 = -27*r - 261 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 3, 1.887 in ascending order.\nAnswer: 0.5, 1.887, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5185*f + 5283*f - 12 - 10493*f.\nAnswer: -25*f - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23 by -7354330.\nAnswer: 23\/7354330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*m + 0*m + 1 + 6*m - 1.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-286)\/(-10) - 28\/(-70). Let h = 46 - c. Calculate the remainder when 83 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d + 33 = 137. Solve -3*z = -d*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/11*2\/(-6). Let l = -0.40877 + 0.30877. Suppose -5*t - 3 = -18. Which is the closest to t?  (a) 1  (b) l  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2556 - 941. Does 95 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2001558807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -214737, -214801, -214865, -214929, -214993, -215057?\n\"Answer: -64*w - 214673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 - 3 + 3)*(2*b**2 - 2 + 2) + 3*b**5 - 2*b**5 - 5*b**5 - b**5 + 0*b**5 - 3*b + 2*b + (b**2 - b**2 - 2*b**4)*(5*b - 3*b - b).\nAnswer: -5*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 - 3363954*m**2 + 6727899*m - 3363948.\nAnswer: 3*(m - 1121316)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 403978 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (91 - (1 - 1)) + 6 + -5 + (1058 - 1056)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2928.9 - 2930. Is 1\/3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3 = -u + 5*p, 5*u = 5*p. Solve -n = -2*n - u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8003613 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40.9 + -42.248. What is w rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (940\/6)\/(12\/(-720)). Round n to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**2 + 6*y - 6*y + (-1 + 1 + y**2)*(-2 - 4 + 4) - 4*y**2 + 3*y**2 + 2*y**2 + 2*y**2 - 2*y**2 + 2*y**2 + 3*y**2 + 2*y**2 - 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*j = 51*j. Let n be 6\/(-4)*(1 - -1). Let c = n + 2. What is the smallest value in c, j, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(1836)\/sqrt(3).\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10 - ((-1)\/5 + (-299)\/30))*-12)\/(-1). Suppose -4 = 2*a + 6, 2*k - 15 = 3*a. Factor -8\/9*g + k + 1\/9*g**3 - 2\/9*g**u.\nAnswer: g*(g - 4)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000030521 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -56*i**5 + 3757*i**5 + 1974*i**5 - 7035*i wrt i.\nAnswer: 113500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 10*q + 4. Suppose 0 = 3*y + y - 40. Let v be h(y). Suppose -v*g = 6 - 14. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yiiqicceyiy. What is prob of picking 4 i?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -30 - -68?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*((sqrt(12)\/sqrt(4) + -5 - sqrt(3)) + -5) - (4 + -5 + 2*sqrt(75))).\nAnswer: -10*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(55)*2 + sqrt(55) - (sqrt(605)*-2 - sqrt(605))\/sqrt(11))\/(6*(sqrt(5)*2 + sqrt(5)) - sqrt(5)*-1*-1))**2.\nAnswer: 176\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 16) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 11, b: 2}. Give prob of sequence bss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 3*t + 17, -4*t - 16 = -3*b - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3309 is divided by 384?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, -360 in decreasing order.\nAnswer: -1, -2, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -3. Let v = 3.35 + -3.25. What is the closest to d in -0.5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/((r\/(r*r\/((r\/r**(2\/3))\/r)*r))\/r))\/r**(3\/5)*(r**(-1))**(5\/9)*(r**(-3)\/(((r*r**(2\/9)\/r)\/r)\/r))**38 assuming r is positive.\nAnswer: r**(-629\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -284, -1165, -2654, -4769, -7528, -10949?\n\"Answer: -3*b**3 - 286*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 (base 13) in base 5?\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30)\/(-9) + (-4)\/2. Let t = -4\/3 + 2. Solve t*w + 1\/3 - 4\/3*w**3 - w**2 + d*w**4 = 0 for w.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2878920?\nAnswer: 2, 3, 5, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(180))\/(sqrt(3) + 2*sqrt(243)))\/((6*(sqrt(432) + 2*sqrt(432)) - sqrt(432))*-6).\nAnswer: -sqrt(5)\/5814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -312619, -312620, -312621, -312622, -312623, -312624?\nAnswer: -312625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3936260.587 rounded to the nearest ten thousand?\nAnswer: 3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + p, -6 = -5*k - 2*p - 3. Let s be (k + 0)\/(11\/220*-5). Put 139, s, 3 in descending order.\nAnswer: 139, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -185, -186, -187, -188, -189?\n\"Answer: -h - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.044592773 to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 1\/30*u**6 + 5\/3*u**3 + 0*u**2 + 18*u + 1 + 1\/10*u**5 - 13\/12*u**4. Suppose p(s) = 0. Calculate s.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 7*g**3 - 36*g**2 + 15*g - 26. Calculate the least common multiple of t(5) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 164*d**2 - 682*d - 5507. What is the thousands digit of m(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - -1. Suppose 0 = m*q + 12 + 118. Find the common denominator of 59\/9 and q\/12 - (-8)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 5, -0.3, -1\/6 in decreasing order.\nAnswer: 5, -1\/6, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 94 + -93. Suppose 3*y + d = 7. Let a = -10 - -16. Solve -y*c - a = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/79674 and 173\/60270.\nAnswer: 16333170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11358716 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: Let u(d) = 13*d + 117. Let n(g) = 3*g + 29. Let b(r) = -18*n(r) + 4*u(r). Let a be b(-27). Let c be (-4)\/(-18) + 68\/18. Put -3, c, a in decreasing order.\nAnswer: c, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**2 + 4 + g**3 + 12*g + 9*g - 19*g. Let w be j(-3). Let o = w + 7. What is the greatest common factor of o and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -267*w**5\/20 + 43*w**3\/3 - w**2\/2 - 23*w + 1. Find the second derivative of t(y) wrt y.\nAnswer: -1602*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {q: 7, r: 1, w: 10}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 175281592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -324 - -327. Let f be 8\/12 + 210\/36 + -6. What is the closest to 1\/3 in f, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/22))**(3\/38)\/(t**(8\/11)*t\/(t**(-2\/65)*t)) assuming t is positive.\nAnswer: t**(-41387\/54340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xa when two letters picked without replacement from haxigvg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/80 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*y - 2812000 = 101*y. What is y rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = 19 + 9. Let o be (14\/(-3) + g)*18\/12. Is -9 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of 449*s**5\/10 + 769*s**4\/12 + 22*s + 47. Find the third derivative of z(y) wrt y.\nAnswer: 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 - 15968*h + 413807. Determine m(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 4*h**2 + 12 - 15 + 6*h**2 to the form l*h + b + q*h**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 91*x**2 + 15*x - 84*x**2 - 21*x - 5. What is m(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*q**2*t - 7*q**2 - 119*q*t**2 + 97 wrt t.\nAnswer: -9*q**2 - 238*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 33\/33*6\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25845 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 3:20 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 3) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from bsbsbbbsbs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 105 and 3318?\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + u = -5*d + 9, -3*u - d = -15. Solve -2*z - u = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 12232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*j + 4*j + 11*j + 28*j.\nAnswer: 74*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/3*1722\/(-28) is divided by 315\/49 - (-32)\/56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/18*10)\/((-4)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 14335414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 5. Let h(m) = m**3 + 14*m**2. Let a be h(-14). Suppose -2*u - 3*n - n = 0, 4*n + 8 = a. Solve -v - s = -u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -96, -92, -86, -78, -68?\n\"Answer: f**2 + f - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161159 is divided by 510?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 13 + 2 = 3*p, 3*p + 4*g - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*r - 8708 = -9566 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(480)*-1*-2)\/sqrt(10))\/(2*sqrt(384)*2))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 w, and 1 b when three letters picked without replacement from {e: 1, w: 5, b: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 213 = 5*l. Let n = -41 + l. Calculate the remainder when 57 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81.4 + -47.44. Let j = 1.04 + u. Which is smaller: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 2)*(-47 + 53). Calculate the greatest common divisor of 64 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 214617 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 8:44 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87876169 to the nearest integer?\nAnswer: 9374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 546523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (-3 - -12) + -4 - (-185 + 181)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 14. Suppose s - 6 = 2*f, 0 = 4*s - 3*s - 3*f - j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1560.8807 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -4\/45  (b) -4  (c) -0.04  (d) -0.02  (e) -3\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 150.93  (b) -2\/9  (c) -0.1  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(-6) + (-26)\/(-39). Suppose -5*h + 4*h - 2*s = 3, 5*s = 2*h - 30. Suppose 6 = h*u - 3*u. Sort k, 1, u.\nAnswer: k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -188, -325, -394, -359, -184, 167, 730, 1541?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4107 = -5*p - 3*t, 3284 = 2*p + 2*p + 2*t. Suppose 0 = -6*h - p + 4629. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -36?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -14528.2712 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.6 - 1.559. Let k = c + 1.819. Round k to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 0*a**2 - 2*a**2)*(-3*a - 4 + 4 + (-3 + 5 + 0)*(-42*a - 48*a - 2*a)).\nAnswer: 561*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-63)\/28)*3\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 111*f - 1. Let s be b(1). Let q = s - 64. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence djd when three letters picked without replacement from {j: 15, d: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/1413339?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -5*o + 17. Let k = -16 - -2. What is the tens digit of b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 8*q. Suppose q = -4*j + 18 - 6. Solve -j*c + 4 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13496)\/(-1446))\/(10*2\/(-6)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35136 (base 8) to base 2.\nAnswer: 11101001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -263, -263, -255, -233, -191, -123, -23?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 84 + -84. Solve -3*k + b*k - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-16))\/((-100)\/(19200\/(-336)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -5 + 9 + (-1 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 1) + 2 + 18 + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2782*n + 3. Let b(c) = -2*c**2. Give l(b(d)).\nAnswer: -5564*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5144, 6920, 8738, 10598, 12500?\n\"Answer: 21*m**2 + 1713*m + 3410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4373 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: Suppose -52 = -2*u + v, -2*u - 5*v + 80 = 28. Let o be (0 + (-1)\/2)\/((-1)\/2). Let a be 3*o\/3 + 4. Solve u - 6 = a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -695380*p - 695387*p - 3*p**2 + p**2 + p**2 - 695384*p + 2086151*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 38*x**2 - 2 + 41*x**2 - 32*x**2 + 2. Let v(l) = -l**2. Calculate y(v(t)).\nAnswer: 47*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t. Let f(v) be the second derivative of -v**6\/60 - v**3\/6 + 3*v. Let w(l) be the second derivative of f(l). What is r(w(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161*n**2 - 50*n**2 - 173*n**2.\nAnswer: -62*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (228\/(-190))\/(2\/(-20)*9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 3 - -3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1260 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21111*y**3 + 42*y**2 + 21117*y**3 + 63*y**2 - 107*y**2.\nAnswer: 6*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - -2026996565\nAnswer: 2026996564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l**4 + 6 + 8*l - 6*l - 9 + 7 - l**2 to the form g*l**4 + u*l**2 + o*l + p + t*l**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 17*v. Is 12 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of -v**6\/1200 + v**5\/600 + v**4\/60 - v**3\/15 - 165*v**2. What is h in w(h) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**3 - 50784*c**2 - 3163740*c - 3112952.\nAnswer: 4*(c - 12758)*(c + 1)*(c + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 464848009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-396)*7\/((-35)\/(-240))\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2231 plus 0.5267?\nAnswer: -2230.4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-44)\/(-21) + 13\/156*(-16)\/14. Let f = 2.3 + -3. What is the third biggest value in s, -6, f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11830.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/(-2) - 1) + 366\/(-12). Let z be l*-2*(5 - (5 + -2)). Suppose -5*q + z = -19. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f - 8. Let r be q(-2). Let m = -71 + 47. Let c = m + 24. Solve 4*x + c*x - 16 = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.0920739 + -6.098. What is v rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -27  (b) -3  (c) -0.4  (d) -1  (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 47*m**2 - 6*m - 11. What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*q + 12. Suppose -i - q*i = -56. Suppose 0 = -4*s + 3*j + 327 - 103, 3*s - 3*j = 171. Calculate the remainder when s is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 12*m**2 + 14*m - 11. Let b be q(11). What is the common denominator of b\/77 - (-145)\/(-42) and ((-59)\/2)\/(12\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 19*f**2 + f - 14. Let y be w(19). Let g be -16*y\/45 + 4\/2. Which is the biggest value?  (a) g  (b) -0.3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -116*d**2 - 1616*d + 54. Determine a(-14).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16861?\nAnswer: 13, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 61 = -4*j. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 - 2*c + 2. Let r(y) = -y**2 - 1. Suppose 3*o + 23 = 4*u, -4*o + 0 - 14 = -2*u. Calculate o*r(p) - g(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4 + 18365*a**3 + 88102059*a**2 + 34341466883*a - 34429587308 = 0. What is a?\nAnswer: -8969, -428, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.02 + -0.26. What is the second biggest value in -2\/7, -0.3, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 8, h: 1, t: 4}. What is prob of picking 1 t and 2 n?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + 557 - 1538 = -519 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + z - 2*h + 10 = 0, -4*z + 31 = -5*h. Find the common denominator of 3\/z*(-285)\/27 and -40\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3\/2))**(-44)\/(o\/(o\/(o**(1\/2)*o*o))*o**(-7)) assuming o is positive.\nAnswer: o**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 60819\/15610 + 6\/1561. Let t = 283 - -327. Let a = 6737\/11 - t. Calculate the common denominator of w and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 31*u - 412. What is the hundreds digit of o(45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 2\/11, 436, -51\/20?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1308 divided by -1308.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27.8 and 0.3.\nAnswer: 8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -174 + 184. Suppose 184 + 56 = o*t. Calculate the smallest common multiple of t and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 32*j = -36*j - 12, 3*n - 5*j = 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 1:27 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10 + -1061)\/(2 - 3). Let k = g + -85132\/81. Let a(t) = 2*t**2 - 1. Let m be a(1). Is m bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 6124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + 6. Let z = 13 - y. Let t be (-280800013)\/39 - (-1)\/z. What is t rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 2070506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 256.7 - 38.7. Let h = 223 - d. What is the third biggest value in 11, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - s + 2. Let d be 0*(0 - (-2 + 3)). Let w be o(d). Let m(l) = l**2 + 2*l**2 + 0*l**w. Let y(k) = 2*k. Calculate y(m(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z - 13. Let i be l(7). Suppose m + 3*m - 4 = 0. Put -4, m, i in descending order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-6)*(-29 - -5)\/4. What is the derivative of 2*r**3 - 6*r**3 + r**n + 2331 - 2316 wrt r?\nAnswer: -12*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1915*o - 6 = 1912*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*a + 31284 = 29*a. Put a, 0, -1 in decreasing order.\nAnswer: a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -97 - -423. Suppose -i*m + 42 = -329*m. Sort -5, m, 5, -8 in descending order.\nAnswer: 5, -5, -8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 17 + 7. Let q = -168.7 - -187. Let m = 18 - q. What is the closest to 2\/13 in t, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-978)\/(-8) - 1\/4. Let b be ((-23)\/(-69))\/(2\/(-426)). Let l = d + b. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/9)\/d)\/(d*d**(2\/3)))\/((d**13*d)\/d**(6\/7)) assuming d is positive.\nAnswer: d**(-1003\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/8, 5, 3\/5, 1.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -60 - -84. Calculate the least common multiple of 33 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -251.1, 2.6, 0, -5\/3, 4\/3.\nAnswer: -251.1, -5\/3, 0, 4\/3, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -62.8 + 68. Let l = -0.7 + 5.7. Let m = p - l. Which is smaller: m or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 613\/2 - 307. Let k = 1\/4 - 7\/12. Which is the nearest to -1?  (a) 1\/3  (b) k  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02062 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 708984, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11552250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 248.2 - 226. What is w rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**2 - 22*i**2 - 82 + 15*i**2.\nAnswer: i**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from ggocqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1))**(-37)*(k**(-1\/3))**(-2\/7))\/(((k*k\/((k**(-5)*k)\/k)*k)\/k*k*k)\/(k**(3\/5)*k)*(k**(1\/3)\/k)\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(3146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -401227.33 from 0.4.\nAnswer: 401227.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 10*t + 24. Suppose -3*x + 4*c = -16, x + 3*x = 4*c + 24. Let z be w(x). Suppose -m - 2 = 4*o + o, 4*o + 4*m = -z. Solve o = 3*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 623*w = 612*w. What is the second biggest value in w, -0.04, -9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/4983 and -10\/131823.\nAnswer: 1450053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -0*g + 4*m, -g = 5*m. Suppose g*v = 2*v - 6. Solve 0*c - 3*c = v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q - 10 - 12 + 22. Let h(i) = 8*i. Determine h(m(v)).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 35772 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16719?\nAnswer: 3, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -99, 5, 4, 48\/7, 83, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**7\/63 - l**6\/9 + 4*l**5\/15 - 2*l**4\/9 + 30*l + 1. Factor v(i).\nAnswer: 2*i**2*(i - 2)**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 37363*u**3 + 1 + 2 - 12454*u**3 - 12456*u**3 - 12451*u**3 + u**2 + 26*u**4 + 4*u as o*u**4 + p + h*u**3 + y*u**2 + z*u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 706027170 and 10540?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 b, 1 w, and 1 f when four letters picked without replacement from wmmbwwfwvwfwf.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25151632 divided by 285814.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2096*m**3 - 2127*m + 17343874 wrt m?\nAnswer: -6288*m**2 - 2127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 56070192923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1673 is divided by 124.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 11*c - 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 73*f**3 - 3*f**2 + 7*f - 5. Let p be b(2). Suppose 4*t + 2359 = 4*c + 3*t, -c = -2*t - p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, -4, -1.9, -0.22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4*l + 289 = -139, 95 = y - l. What is the remainder when y is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-18)*(-408)\/(-4012)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -162, -322, -482, -642, -802?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 654055982 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 103 divided by 31129\nAnswer: 103\/31129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-45)*(-12)\/8. Suppose 2 + 13 = 5*d. What is the nearest to -2\/9 in d, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) 3\/4  (c) -103  (d) -2\/53  (e) 3\/2  (f) -14  (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -54*(-5)\/15 + -5. Solve 0 = -3*b - g - 14, -5*b - 5*g = u + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -69, -75, -77, -75?\n\"Answer: 2*m**2 - 12*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (5 + sqrt(320)*-1 + sqrt(320) + (sqrt(320) - (sqrt(320) + 0 + 0)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 15*v + 4. Let d be u(15). Suppose -d*w = -2*w - 10. Solve t - w = 2*c, 2*c + t + 3 = -0*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(3\/10)\/u*u))**(-40)\/(u\/(u**16*u)*u**(-5\/3)) assuming u is positive.\nAnswer: u**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (6\/12)\/(1\/6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 189 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*g - 7*g - 13*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/(-7))\/((-2)\/(-7)). What is the remainder when (-12 + b)*3\/(-6) is divided by 2*5\/2*32\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0*m = 10, k + 21 = 5*m. Suppose -4*x + x = -k*u + 6, 5*u = x + 13. Solve -u*z - z = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -742*t**2 + 14076*t + 371. Calculate x(19).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 10:17 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 309008 and 891157?\nAnswer: 2759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184555035.\nAnswer: 3, 5, 7, 585889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/11 + 74264*l\/11 - 107510214\/11.\nAnswer: -2*(l - 35623)*(l - 1509)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -177, -187, -195, -201?\n\"Answer: w**2 - 13*w - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 5*d + 3*o - 167, 5*o - 20 = 0. Suppose -5*v + 219 = -d. Let x = v - -45. List the prime factors of x.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 604.33 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1501901?\nAnswer: 1501901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 5, 4, 2\/5, -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/21)\/(k**(-1)\/k)*(k**(-5)\/k)\/(k**(-9)\/k) assuming k is positive.\nAnswer: k**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffpp when four letters picked without replacement from {d: 1, p: 2, f: 3, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 18*c = -12. Suppose -4*f - 5*w = -631, 4*w - 184 + 506 = c*f. Is f a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1442\/4335 + -1\/1445. What is the fourth biggest value in -1, -2, -3\/4, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2010002221 + -11?\nAnswer: 2010002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**22*l)\/l*l\/(l**33*l)*(l\/((l**(5\/8)\/l)\/l))**(1\/11) assuming l is positive.\nAnswer: l**(-861\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {e: 10, l: 3, c: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 35793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 51801463 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -0*i - 3*a, -3*a - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2. Let d(o) be the first derivative of o**5\/30 - 4*o**3\/3 - 1. Let q(v) be the third derivative of d(v). Determine n(q(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 5*d**2 + 5*d - 2. Let i be z(4). Suppose -2*f = -5*j + 89, 2*j - 2*f = 4*j - 30. Suppose -3*y + j = -i*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/((-6)\/(-16)*(-6)\/(-9)). Let t = 42 + z. Let a(q) = q**2 + 3*q + 2. Calculate a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12487, -12450, -12413, -12376, -12339, -12302?\nAnswer: -12265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 12051.35 centuries?\nAnswer: 120513.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(704)*4 + sqrt(11) - sqrt(539)*1.\nAnswer: 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 84077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3238 - 3238.2. Put 2, -0.04, 0.4, i, 2\/11 in increasing order.\nAnswer: i, -0.04, 2\/11, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 a factor of 543587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 + 111 = -8*o. Let y(q) = -7*q + 8. What are the prime factors of y(o)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1467 + 3396522?\nAnswer: 3396521.8533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43740383.\nAnswer: 43740383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*h - 164 + 167 - 101 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879513721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-7) + 26\/7*1. Suppose i*o = -5*o - 9. Let z(j) = j + 1. Let r be z(-3). Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0.08  (c) 11  (d) -3  (e) -24.67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-1 + 5 + -6 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 53 = -27*y. Sort -43, -25, -5, y.\nAnswer: -43, -25, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*u + 44, -2*u - 19 - 13 = -2*d. Solve 0 = d*s - 32 - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 62431 and 133653?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.83 * -0.12.\nAnswer: -0.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 251*y - 246*y + 2*z, -2*z = 2*y + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 11*t - 31*t + 3 to the form p + u*t and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 - (0 - -154242))*(-80)\/160?\nAnswer: 2, 38561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2 + 12)*(4*a + 2*a - a)*(0 - a + 0)*(-18*a - 21*a - 11*a) + 4 - 4 + 2*a**3 in the form k*a**3 + y + m*a + i*a**2 and give k.\nAnswer: 4502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 770953903 to the power of 1\/2, to the nearest integer?\nAnswer: 27766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 17*p + 7. Let q be z(-9). Let j = q + -1. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 31 + 23 = 0. Suppose 15 = 6*o - o. What is the highest common factor of a and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 11:06 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -133 (base 4) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03997 + -4834.499656.\nAnswer: -4834.539626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3 = 15. Let s = -4 + w. Suppose -4*d + 2*d + 44 = s. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -302700 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -126396 by 3.\nAnswer: -42132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = -6*x - 20. Suppose -4*f + 16 = 0, -3*f + x*f + 2338 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000875121 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((-3*sqrt(200)*-1 - sqrt(200)) + (sqrt(200) - sqrt(200)*1)*5 - (2 + (sqrt(36)\/sqrt(3))\/sqrt(6))*1))**2.\nAnswer: 76*sqrt(2) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(18) + sqrt(2) + -2*sqrt(8)\/sqrt(4) + -2 + 5.\nAnswer: 2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4 + -4 + (sqrt(1331)*3 - sqrt(1331)) - -1*(sqrt(1331) + 3 - sqrt(1331))*-6)**2 + 2.\nAnswer: -1144*sqrt(11) + 6004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (44\/297)\/((-4)\/6) + (-952)\/(-153). Let c(n) = 4*n - 6. Let k(a) = -a**3 + 8*a - 11. Calculate x*k(o) - 11*c(o).\nAnswer: -6*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335 is divided by 104?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 7:16 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5809283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -283*g**2. Let a(o) be the first derivative of o**2\/2 - 26. Calculate r(a(y)).\nAnswer: -283*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 2*d - 9. Let x be c(-7). Let s = 82 - x. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**3 - 2*t**2 + 12*t - 6. Let n be s(4). Suppose 2*l - n = 142. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39 - -3) + 666 + -706?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 264735970 to the nearest integer?\nAnswer: 16271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 3\/5, -2\/3 in increasing order.\nAnswer: -2\/3, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**8\/14 + 23*z**7\/42 - 5*z**4\/12 + 41*z**3\/2 + 525*z. Find the third derivative of y(a) wrt a.\nAnswer: -480*a**3 + 1380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from faafdju. What is prob of picking 1 f and 1 a?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5915 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60.2 - -60.4. Which is the closest to 2?  (a) i  (b) 1  (c) -5  (d) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3840776 or 3840742?\nAnswer: 3840776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -7*n**3 - 4*n**2 - 4*n - 3. Let a(d) = -d**3 - d - 1. Let x(s) = 6*a(s) - m(s). Let t be x(-4). Let c(y) = y**3 - 5*y**2 + 3. Determine c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28823 is divided by 9603?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 37941.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 15. Let p(x) = -x. Let q(i) = i - 2*i + 0*i. Let l(m) = 3*p(m) - 4*q(m). What is l(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2*-7*17\/(1071\/(-72)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 8*b + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 425903255 and 335.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27508*m**2*w**3 - 6*m**2*w + 19*m**2 - 33*m*w**4 + 8*m*w + 6*w - 1 wrt w?\nAnswer: -165048*m**2*w - 396*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 3:25 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -26. Let j = 12.4 - k. What is the closest to -4 in 0, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 1:00 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**2 + 25*a - 21. Let t be 2\/4*880\/(-20). Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**2 + 190*t - 1424. Give s(9).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -7*u**2 + 80*u + 50. Let h be a(12). Let r = -29 - -44. Find the second derivative of 0*d**2 - d**2 - 2*d**h - r*d wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4127 or -1263?\nAnswer: -4127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3. Suppose 0 = -2*q - z*q. Let v = q + 1. Solve -v = -4*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 11*t - 32. What is m in 3*m**2 + 5*m - t*m**4 - 3*m**3 + 5*m**4 + 2*m - 4*m = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**2 - 6135 + 6135 + 4*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -245.8 - -246. Put -1\/2, 1\/2, n, 0.22 in ascending order.\nAnswer: -1\/2, n, 0.22, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423 is divided by 311?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 - 20 + 17 + 3*v - 23.\nAnswer: 3*v - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13480329*j**5 + 4*j + 2899569 wrt j?\nAnswer: -269606580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 + 0.31. Let r = 0.4 - w. Let n = -1\/84 + 5\/28. Which is the nearest to r?  (a) 0  (b) 2\/11  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*n + 4*i - 14 = 0, 5*i = -4*n + 28. Let c be (-1)\/(-3) - (-6)\/9. Let t(l) = -5 + c + 2*l + 1. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -17 + (-9 - (-11 + -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4022*l - 15907. Determine u(4).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -662, 3, -2\/9?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*j + 229, 0*q - 69 = j + 3*q. Are -75 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 206376.75 months to years.\nAnswer: 17198.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 657 and 766281.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*p + 287. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 16223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -737, -2\/31, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c + 1. Let l(x) = -21*x. Suppose 8*p = 3*p + 5. Let v(y) = p*l(y) - 3*q(y). Is v(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1918065 times -2.4\nAnswer: 4603356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b - b + 21 + 37 - b.\nAnswer: -2*b + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -14, 0.5 in ascending order.\nAnswer: -14, 0, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(171)*-2 + ((sqrt(38)\/sqrt(2) - sqrt(19)) + -3)*6 - (-4 + ((sqrt(931) - (sqrt(931) + 1)) + sqrt(931) + -4 - sqrt(931)) + 5))**2.\nAnswer: 840*sqrt(19) + 17296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -2*y**7\/3 + 16*y**6\/3 + 208*y**5\/5 - 658*y**4\/3 - 1606*y**3 - 1260*y**2 - 1239*y. Let a(l) = 0. Calculate l.\nAnswer: -3, -2\/7, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14313 = n + 39513. What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 27346252 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**(-35)*p)\/p)\/(((p*(p*p**2*p)\/p)\/p)\/p))**(2\/9))**(17\/5) assuming p is positive.\nAnswer: p**(-1258\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9364 * -21.1.\nAnswer: 197580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + b**2 - b - 1. Let f be w(0). Let a = 0 - f. Suppose 3*y + 2*z + 7 = 0, 47*z = y + 44*z - 5. Put 3, a, y in decreasing order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1327689131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3.14047*2363\nAnswer: 7420.93061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - x**2 + 0)*(-1 + 3*x + 1) - 4*x**3 + 3*x**3 + 0*x**3)*(0*x - x + 0*x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*86.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 470.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -13535*f. Let i(c) = 4*c. Determine i(r(b)).\nAnswer: -54140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24*q**4 + 69*q**2.\nAnswer: 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 take away -4204.11?\nAnswer: 4257.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 10, v: 1, c: 1, i: 2}. What is prob of picking 1 i and 3 h?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1642 (base 8) in base 5?\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*m - 88*m - 36*m = -275. Solve -2*k + 15*k = -m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10883*d + 10883*d + 173*d**2 - 3 + 3 - 2*d**2 - 2 + 2*d**2 + 2 - 3*d + 3*d - 2*d**2 + (3*d - 3*d + 2*d)*(-2*d - d + d) + 1 + d**2 - 1.\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110101010100011 (base 2) to base 5.\nAnswer: 3410232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-11)\/(-154)*7)\/(5\/110). Solve 13*a + w = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60291461 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 8. Let g be (24\/9)\/(84\/63). Which is the second biggest value?  (a) -5  (b) g  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 16 = -y - 7*i, -20 = -4*y - 5*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11 - 14*z - 23 + 10 - 3*z + 4*z - 3*z + 2*z - 3*z - 4*z - 1 + 1 + z + (-2*z + 6*z - 2*z)*(3 - 4 - 1) - 2*z + z - z + 6 - 6 + 7*z.\nAnswer: -19*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 3*j + 12. Let b(s) be the second derivative of 0 + 2*s + 1\/18*s**j + 1\/3*s**2 + 2\/9*s**3. Suppose b(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y - 1. Let s = 225 + -101. Suppose 151 = 5*c + l, -4*l + s = 4*c - 0*c. Suppose -4*d + c = d. Determine t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18410070 at most as big as 18410122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v**2 + v**2 + 2 + 1 - 3*v**3 - 36*v + 37*v to j*v + d*v**3 + m + f*v**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 2873223.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 1 + 14 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 2*v**2 - 837. Let y be (-5)\/(-6) + (-1)\/(-6). Give a(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-51)\/57 - 13*(-16)\/(-1976)) + 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = -13*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25 and 91226?\nAnswer: 2280650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.075309069 + -237018.\nAnswer: -237017.924690931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 1:44 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-60)\/8*(-12)\/5. Let c be (4 + (-76)\/z)*15. Sort c, -0.4, 0.1 in descending order.\nAnswer: 0.1, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-19) - 5352\/57. Let a be 3\/9 + (-14)\/6. Let y be v\/(-18) - a\/(-9). Solve -y*h - 6 = -h - 2*f, 3*h + 3*f + 27 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 37*q**2 - 90264*q - 90267. Calculate h(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of d**4\/4 - 2*d**3 + 5*d**2\/2 + 3*d + 1047. What is g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2202 - -bc?\nAnswer: 22c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4220 + 1?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*i - 41*i - 1274. Which is smaller: -90 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 8*a. Let z be 10*(-3)\/(-6) + -3. Suppose -132*x + 131*x = -z. Let l(t) = 2*t**x - 1 + 7 - 6. Calculate i(l(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-74)\/(-3))\/(1\/(-15)). Let a be c\/4*(-4)\/5. Let r = a + -37. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -277*a**2*r - 2*a*r - 9*a - 52405*r wrt a.\nAnswer: -554*a*r - 2*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, l: 7, y: 9}. What is prob of picking 3 l and 1 y?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157*p + 160*p = 0. Suppose 3*d = -0*d + 6. Put -2, d, p in decreasing order.\nAnswer: d, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 322 - 62 = 0. Suppose 28*l - y = 22*l. Solve 3*b - 4*f - 19 = l, -2*b + 4*f + 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 7901*m**2 - 3 + 4 + 0*m. Let j be n(1). Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 7*n. Let x(m) = -5*m. Let o be 10*(54\/(-15))\/(-2). Let g(w) = w. Let s(l) = o*g(l) + 4*x(l). Determine h(s(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 14 = -3*l, 3*l = 6*l + 4*r + 2. Let v(h) = -h**2 + 3 + l + 0*h**3 - 5*h**2 - 6*h + h**3. Is v(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/9 or -20211696?\nAnswer: -20211696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 5:34 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 118, 456, 1068, 1948, 3090, 4488?\nAnswer: 6136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17396 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - -1) + (-216)\/(-12). Let b = w - 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/6))**31*w**(2\/41)*w*w**(1\/7) assuming w is positive.\nAnswer: w**(-6845\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 75185.87 years in millennia?\nAnswer: 75.18587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 4:06 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 1299880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l = -36*g + 35*g + 40, -4*l + 32 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 169?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**2*o*y + 164*a**2*o - 13*a**2 - 208*a*y + 2*o*y - 15*o wrt a.\nAnswer: -2*o*y + 328*o - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 - 4*f**2 + 2*f**2)*(-61*f**2 - 61*f**2 + 51*f**2 + 2*f**2 + 2*f**2 - 5*f**2 - 1 + 1 + 2*f**2 + (-f + 2*f + f)*(4*f + f - 3*f)).\nAnswer: 264*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**3 - 42*h**2 + 6*h + 12. Let n(q) = -3*q**3 - 46*q**2 + 7*q + 13. Let r(v) = 7*b(v) - 6*n(v). Let j(p) = -p**3 - 1. Give -6*j(x) - r(x).\nAnswer: 2*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.1 + 2.05. Let h = 0.050022 + m. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*sqrt(28))\/sqrt(4).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.094 to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + 14)*(1 - 2 + 0)*(3*w - 3*w + 8*w).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1))**(-44)\/(u**(-5\/3)*(((u\/(u*u**(1\/4)))\/u*u)\/u*u)\/u))**(-18) assuming u is positive.\nAnswer: u**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -43450432 divided by -8732?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 4*h - 10, 3*h = 2*t - 5*t + 15. Factor t - 192*n**2 + 3*n - 3*n + 190*n**2 + 8*n.\nAnswer: -2*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 1 = -f, -4*f - 15 = 3*r - 7*f. Let i be ((-8)\/(-6))\/(3\/9). Let c(k) = k**2 - 3*k**3 + i*k**3 + 3*k + 1 + 4*k**2. Determine c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/36)\/(2\/(-72)). Solve -s = 2*j - 7 - 2, -2*j - 4*s = -c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, e: 1, r: 4, o: 8, g: 3}. What is prob of picking 2 g, 1 o, and 1 r?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - 51\/24 - 2\/(-16). Solve -5*p + k - 17 = d, 3*k + 2 = p - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (240\/1400)\/((-6)\/10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-2))\/(14\/(336\/(-104))).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) -29678  (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124251 is divided by 41331?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-49)\/14*4*-9. Let o be m\/687*12\/14. Let r = 14669\/1374 + o. Calculate the common denominator of r and 59\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3.125, -0.107, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.01 times -4?\nAnswer: -80.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 38 = -5*s, 13*m = -64*s + 68*s + 94 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 6:46 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from eieeniggngechen.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2)*((0*b + b + b)*(-4*b**2 + 2*b**2 + b**2) - 76*b**2 - 28*b**3 + 76*b**2)*(0*b - 2*b + b) as w*b**3 + t*b + l + q*b**4 + a*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 109454 or 1104?\nAnswer: 109454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - t - 25 = -w, -5*w + 25 = -5*t. Solve -17 = -5*y + x, -5*y = -0*x + w*x - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 222110 and 1596.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**3\/8 - 5501*i**2\/8 + 5503*i\/4 = 0.\nAnswer: -5503, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**3\/2 + 2913*v**2\/2 - 239424*v + 10136218 = 0.\nAnswer: 86, 2741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*g - 45*g + 9*g + 14*g + 16*g - 12*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 199137 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, -2\/7, 2\/23, -0.1, -114?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/55, 5, -43, 0.3 in descending order.\nAnswer: 5, 0.3, 3\/55, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1023 by 1020791.\nAnswer: 1023\/1020791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of 1\/24*v**4 + 0*v - 2*v**2 - 3 + 0*v**3. Let i(w) be the second derivative of k(w). Let m(j) = -6*j**2. What is i(m(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - s + 1. Let f(g) = 5*g**3 + 4*g**2 - 4 - 6*g - 6 + 2*g. Let x(l) = f(l) + 4*q(l). List the prime factors of x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7017, 7008, 6995, 6978, 6957, 6932, 6903?\n\"Answer: -2*p**2 - 3*p + 7022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.09 - 6. Let v = i - 0.089991. What is v rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 19*h + 456 = 0. Let n(o) be the second derivative of 19*o**3\/6 - o**2\/2 - 5*o. Let f be n(1). Is h <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -55035 - 7?\nAnswer: -55043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4416710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 23 + 27 - 64 - 2*x to r + a*x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2. Suppose 5*b + 4*v - 2 = 0, 0*v = -b - v. Suppose -4 = -2*p + b. Let c(x) = x + x + p*x. What is m(c(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -4*t + 4*a - 5*a, a - 37 = 4*t. Calculate the common denominator of (-542)\/(-20) - 4\/t and 95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 2 s, and 1 c when four letters picked without replacement from {c: 1, s: 3, f: 2, x: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 44*h**2 - 74*h - 112. Let y be z(-42). Round y to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a**5 + 97754*a**4 - 1990470*a**3 + 4390078*a**2 - 3199712*a + 702360 = 0. What is a?\nAnswer: 2\/5, 1, 18, 9755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3.93+-0.1\nAnswer: -4.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 3:38 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.06  (b) 269  (c) -4  (d) -0.5  (e) 1\/4  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13940, -27882, -41800, -55682, -69516?\n\"Answer: 2*y**3 - 13956*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.224234 take away -73.09?\nAnswer: 57.865766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.4, 5, 4, -0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 2*s - 0*s. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13845)\/(-6825) - (2*2 - (-16 - -18)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25 or 434?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(2 + 0) - -2. Let i be 5 - ((1 - 0) + (2 - 1)). Suppose 0 = k*y - n + 5, -i*y + n = -4*y + 5. Let c(r) = r**3 - r**2 + r + 3. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*j**3 + 41085*j**2 + j - 11451830?\nAnswer: -45*j**2 + 82170*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -4*p**2 - 4 - 8*p - 2\/3*p**3. Factor t(h).\nAnswer: -2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/59 - 163\/2655. Which is the third biggest value?  (a) 16  (b) -2\/9  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1105286118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*(-2 + 2 + sqrt(2)) - (sqrt(16) - sqrt(160)\/(sqrt(80)\/sqrt(8)))\/sqrt(8))**2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(405) + 1 + -3 + sqrt(35)\/sqrt(7))**2 + -2).\nAnswer: -40*sqrt(5) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13*2*(-2)\/(-2). Suppose -2*b + h + x = 6*h, 15 = b + 3*h. What is the highest common factor of b and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -68 + 34. Let j = 35 + x. Sort 4, 3, j in decreasing order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 840 and 302988?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 1. Let q be u(3). Solve -q = -5*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*c**2 - 5*c**2 + c**2)*(-2 + c + 2) + 2*c**3 + c**3 - 5*c**3)*(8478 - 8478 - 568*c).\nAnswer: 2272*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**8\/336 + d**5\/5 - 4*d**2. What is the third derivative of n(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 224\/5 + (-2)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5641.9999992833 + 5642. What is v rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*i + 19*i - 129. Solve 5*d = -0*d + 2*r + i, -4*d + 5*r = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -1.008302.\nAnswer: -1.408302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 672 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -3*d. Let u(s) = -s. Let y(g) = 4*u(g) - z(g). Let w(j) = -5*j**2. Determine y(w(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-532)\/168*-6)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 69 + -55. Suppose 34 = -6*a - y. Let m be -8*((-30)\/a - 4). Are 3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -1058\/9*p**2 + 2\/9*p**4 - 656\/3*p - 56\/3*p**3 - 120 = 0?\nAnswer: -3, -2, -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -514657, -2058354, -4631181, -8233138, -12864225, -18524442, -25213789?\n\"Answer: -514565*s**2 - 2*s - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010 + -10000111001?\nAnswer: -10000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + k = -26, -3*d - d = k - 19. Let t be (10\/20)\/(2\/1804). Let z be d\/(-15) - t\/(-3). What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(7\/2)*((y\/y**0)\/y)**(-27))\/((y**(-7)\/(((y*y**(3\/4))\/y)\/y))\/(y\/y**(-2\/7))**(2\/15)) assuming y is positive.\nAnswer: y**(1459\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 451 + -452. Let g(o) = 9*o**3 + 9*o**2 - 39*o. Let l(p) = -p**4 + p**2 + p. Let t(b) = i*g(b) - 3*l(b). Solve t(y) = 0 for y.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -13*h. Suppose h = l + l - 8. Let z be -4 - (-3 + 0) - l\/(-2). Put 2, -3\/2, z in descending order.\nAnswer: 2, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -30. Let m(b) = -3*b + 4. Let l be m(2). What is the units digit of (l*2\/4)\/(p\/(-104))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 133  (b) 0.0252  (c) -78\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 1498 = 3*h, 5*h - 1194 = -5*x + 1296. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3999\/40 + 699\/8. Find the common denominator of (1032\/(-60) - -3)*-2*3\/42 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 5*g + 2*q + 9, 0 = -4*g - 3*q - 5. Let t be 1*0\/(-3)*g. Let b be t + 2 + 2 + -2. Solve -4*j + 4*k = -8, 5 = b*j - 5*k + 2*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5578, -11157, -16736, -22315, -27894?\n\"Answer: -5579*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59034 (base 10) to base 13.\nAnswer: 20b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 442 or 1330\/3?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -5*m + 180, -2*l - 2*l - 5*m - 180 = 0. Let j = -35 - l. Suppose 9*u - 800 = j*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/7, -4, -0.38, -5, -25\/7 in ascending order.\nAnswer: -5, -4, -25\/7, -1, -0.38, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -148965, -297942, -446931, -595938, -744969?\nAnswer: -894030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10553052*q**2 + 1595975*q.\nAnswer: -21106104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6495 - -949?\nAnswer: -5647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 29240 = h, 21929 = 33*r - 30*r - h. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/10)\/(-3*5\/75).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7744172611 to the power of 1\/2, to the nearest integer?\nAnswer: 88001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4811, 5010, 5201, 5384, 5559, 5726?\n\"Answer: -4*z**2 + 211*z + 4604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35700 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1407, -5629, -12607, -22281, -34591, -49477, -66879?\nAnswer: -86737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i + 33. Let m(f) = -14*f**2 - 121 - 42*f**2 - 108 + 229. Give u(m(d)).\nAnswer: 112*d**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -118 - -118. Is y - -1 - (-21 - 182) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/4)\/(35\/(-28)*4\/(-10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, a: 3, l: 1}. Give prob of picking 3 a and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b - 5. Let u(w) = -27*w + 8137. Determine 5*p(h) - u(h).\nAnswer: 2*h - 8162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18.3 - 11.6. Let u = n + -7. Let x = 1.3 + -0.3. Which is the third biggest value?  (a) u  (b) -1\/2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 716?\nAnswer: -71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (210\/(-168))\/(3\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*k**6 + 648*k**5 + 18*k**2 - 6.\nAnswer: -240*k**3 + 38880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 252456*d**2 - 3983629440*d - 7966249088.\nAnswer: -4*(d + 2)*(d + 31556)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -48*n + 12 + 31*n - 22. Suppose -5*g - 2*o - 32 = 0, -4*g = 2*o + 12 + 12. List the prime factors of r(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*(0 + sqrt(1216))*-3 + sqrt(76)\/(-4*sqrt(64))*-3).\nAnswer: 387*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**4 - n + 5*n**4 - 5*n wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 - s - 1. Let c(v) = -7*v**3 - 13*v**2 - 14*v - 2. Let h(o) = c(o) - 6*g(o). Factor h(z).\nAnswer: -(z + 1)*(z + 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/((-18)\/(-4))*3. Let v(b) = -7*b**2 + 14*b**2 - 4*b + 0*b**2 - 5*b**g. Suppose 0 = y - 2*y + 4. Calculate v(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g - 6. Let a = 4 - g. Suppose 5*q - 41 = 2*x, -2648 = 5*x + 5*q - 2703. Solve x*v + a = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 88122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 9*a**2 - 101 - 5*a + 38 + 6*a**2 + 48 + 5*a**3. Let q(f) = 10*f**3 + 30*f**2 - 10*f - 30. Let s(p) = 9*d(p) - 4*q(p). Factor s(o).\nAnswer: 5*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1948643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9490 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffa when three letters picked without replacement from {f: 4, a: 3, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/(-5) - (8 - 3). Suppose 0 = -c - 4*d - 14, -d - d = 3*c + 2. What is the third derivative of -3*x**3 - x**c - 4*x**3 + x**m - 2*x**3 wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-1)\/(54\/(-3)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-32)*1*2)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x**3 - 12*x**2. Let y(o) = 3*o**3 + 12*o**2 + 1. Let s = 7 + -12. Let q(h) = s*t(h) - 4*y(h). Solve q(w) = 0 for w.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166 divided by -2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**3 - 3*q**2 - 3069*q - 62465 = 0?\nAnswer: -31, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1514424 divided by -712\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 5729635\nAnswer: -1\/5729635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 0.6. Let f = i + -0.42. Let k = 0.18 - f. Which is the nearest to 1\/2?  (a) -2  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t*(t*t\/(t*t**(-9)))\/t*t*t)*t)**(-6)*(t**(10\/7)*t*t*t)\/t**(-3\/8) assuming t is positive.\nAnswer: t**(3965\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 9*m = 720. Let t be (-16)\/m + 214\/6. Calculate the highest common factor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 868 by 4.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*f = -9*f + 162 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (66\/(-15))\/(2\/(-40)). What is the greatest common divisor of r and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4184\/7 + 598. What is the smallest value in z, 0.09, 5, 1\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n - 10 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by 14?\nAnswer: 17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) -1\/4  (c) 3\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 603.97 + -601. Let g = k - 0.83. Let i = 0.74 - g. What is i rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4, 100, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 AM and 11:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 5 - 3)*(4 - 4 - 2)*(6*m**3 - 3*m**4 - 6*m**3) in the form u*m**3 + l*m + d*m**2 + r*m**4 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bjjbbj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -76.015742 and 178649.\nAnswer: 178572.984258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1887, 3945, 5747, 7299, 8607, 9677, 10515?\n\"Answer: z**3 - 134*z**2 + 2453*z - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -19 - ((6 - 18) + 3 + 10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-15)*(56\/10)\/(96\/60).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/21)\/(86\/(-903))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 0  (b) -1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b - 13. Let k be ((-1)\/6)\/(24\/(-720)). Calculate p(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 3475?\nAnswer: 1\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -46806?\nAnswer: -46806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 410523891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -2\/5  (b) 5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from ohxxhhoohooohho.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(8) + -1 + (sqrt(2) - (3*sqrt(10))\/sqrt(5)) + 2*(0 + sqrt(32))*6.\nAnswer: 2 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1717 and 98060294?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b - 359 + 425 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 s when four letters picked without replacement from pppspkkkpsk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 13*l + 0*l - 13*l - 108*l**2. Let d(n) = -n. Give r(d(u)).\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 525.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/2 - 15\/(-6). Let l(h) = -h - 6 + 0*h**2 - h**g + 17. List the prime factors of l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**6\/r*r)**22 assuming r is positive.\nAnswer: r**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 35*f**2. Let m(a) = 4784922*a. Calculate r(m(d)).\nAnswer: 801341749112940*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - 1. Let m = 382 - 298. Let x = 79 - m. Sort a, 5, x in ascending order.\nAnswer: x, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(2\/(-88)*4). Let x(q) = q**2 - 9*q - 2. What is x(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*g + a = -88*g + 2795822, 0 = -5*g - 3*a + 6989551. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222211033 - -1001?\nAnswer: -222210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 76435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -133 + 130. Let b(n) = -n**3 - 5*n**2 - 4*n + 1. Give b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*1*4 + 5*(1*sqrt(114) + sqrt(114) + sqrt(114)))\/((sqrt(216)\/sqrt(9) + sqrt(6))*2).\nAnswer: 19*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0*a**2 + 1 + a**2)*(-72 - 48 + 5).\nAnswer: -115*a**2 - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 13*t**2 + 13*t - 4. Suppose 7*l + 65 + 19 = 0. Give x(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4191*x + 25152. What is n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by -124444.\nAnswer: 9\/31111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 2*c**2 - c + 4. Let v be r(-2). Suppose 4*b + v = 7*b. Suppose 0*g + b*g = -4*h + 42, -h + g = -9. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-57)\/((-25308)\/(-4872))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 5. Let d = 51 - 31. Suppose -4*s + r = -s - d, 3*r + 40 = 5*s. Solve -s = y*u - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -175 - -364. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.58, 11, 2, 3 in ascending order.\nAnswer: 0.58, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3120 and 8814?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1903*c + 11*c**3 + c**3 + 1903*c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**5\/30 - 4*q**2. Let f(v) = 1 - 1 + 2*v**2. Determine f(k(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 36602 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(143) - -1*sqrt(143)) + sqrt(143)) + sqrt(143) + sqrt(143) + ((sqrt(143)*2 + sqrt(143))*-4 - sqrt(143)))\/(3*(3*sqrt(1100) - sqrt(1100))*-3).\nAnswer: -7*sqrt(13)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -829*l**5\/5 - 419*l - 197. What is the derivative of g(x) wrt x?\nAnswer: -3316*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = -3*w. Suppose -o - w*f = o - 10, -40 = -5*o + 5*f. Solve -4*s - 2*m = 8, -5*s + 2*m = o*m + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12483 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -3*r**3 - 1026*r**2 + 11565*r - 29652 = 0.\nAnswer: -353, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/((-282)\/(-42) - 5).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122596 is divided by 117.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12253 + 4823 - 25739 = 575*t + 27206 for t.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -150 + 77. Let o = c + 73.0089. What is o rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 7796, 7792, 7786, 7778, 7768?\n\"Answer: -f**2 - f + 7798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*(16\/12)\/(-4). Let r(v) = 20*v. Determine r(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 6 = -3*f, -4*j + 179 - 191 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54.0138 - -56.19153. Round p to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1126 - -1219.8. Let t = a + -107.832. Let y = 14 + t. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (140*l - 2 - 798*l - 148*l)*(1 + 0 + 5*l**2 - 4*l**2) to g*l**2 + k*l**3 + m*l + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -258 - 2.37690965\nAnswer: -260.37690965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -z + 4. Let r be (198\/8)\/z - 4. Which is the third smallest value?  (a) r  (b) 13  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 7 = 3*v, 2*v + m - 14 = -1. Suppose v*b + 2*u - 388 = 0, -5*u = -2*u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10201220220 + 11?\nAnswer: 10201221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0486 + -0.0286. What is the fourth biggest value in -4, 0.2, a, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**3\/z**(2\/17))\/((z*(z**(-4\/3)\/z)\/z)\/((z*z**(4\/7))\/z*z))*((z*z**(2\/9))\/z)**0\/(z**2\/z)**(10\/13) assuming z is positive.\nAnswer: z**(27929\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-49)\/(-42)*(-82)\/123*1\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240)\/(sqrt(48) + -2*sqrt(48)))\/(sqrt(324) - (sqrt(324) + sqrt(324) + (sqrt(324) - ((1*sqrt(324) - sqrt(324) - sqrt(324))*-5 - sqrt(324))))).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -0*v + 2. Let k be 0\/4 - v\/2. What is the units digit of -2*((-9)\/6 - k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -51*m**3 - 40*m**2 - 248*m + 8339. Let i(h) = -26*h**3 - 24*h**2 - 124*h + 4165. Let n(c) = -5*i(c) + 3*r(c). Differentiate n(q) wrt q.\nAnswer: -69*q**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*s - 189 = 42 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w. Let u(y) = 3*y**2 + 3*y + 3. Let r(i) = i + 1. Suppose a - 2*a - 28 = -5*d, 5*d - 25 = 0. Let k(g) = a*r(g) + u(g). Give h(k(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2c - 656a?\nAnswer: -653c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 - 2*o**2 + 3*o - 3. Let d be w(-3). Suppose -26*p = -d*p - 122. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 23*l**2 + 11*l - 31. What is the remainder when s(7) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 4*p + 83. Let n be -1*(-1 - (1 - 1)). Is 10 a factor of (n*4)\/((-5)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 9. Suppose -3*t + 155 = 4*q, 4*t + 135 = n*q + q. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 32*q**3 - 23 - 134*q + 134*q.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**3 - 8572*i**2 - 2080500*i = 0. What is i?\nAnswer: -8322, -250, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*g**2*m**3*t - 10*g**2*m**2*t**2 - 341*g*t**2 - 2*m**3*t**2 - 2*m**2*t**2 wrt g.\nAnswer: -16*m**3*t - 20*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 53 + 88*n - 303*n - 197 - 76*n wrt n?\nAnswer: -291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 26*o. Let x(c) = 377 + 494 - 1249 + 303*c + 378. Determine x(y(f)).\nAnswer: 7878*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17.92 - 0.08. Let t = h - -30. Let o = t - 8. What is the closest to -2 in o, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 66\/18 - (-8)\/6. Let g be (-3)\/(-1) - (-10 + 12). Let m(k) = g + 1 - 2*k + 0 - k + k**2. What is m(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3397 + -3392. Let k = -2.5 - -2.2. What is the closest to m in k, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 2*a**2 - 5*a - 3. Let y be f(5). Let h = 39 - y. Let w(z) = -2*z - 5. Calculate w(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - (51 - 27))*-1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1332)\/24*164\/246.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (34*t**2 - 61*t**2 + t + 29*t**2 - 97)*(-27 - 38 - 4)*(4*t**2 + 0*t**2 - 6*t**2) in the form a + v*t + f*t**4 + b*t**3 + z*t**2 and give f.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*f = -39*f + 1539. Let h = f - -181. Let k be (-6)\/(-27) + (-129)\/(-27). Solve h + 10 = k*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 304181530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-8)\/80)\/((-1)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z + 11. Let y be f(13). Which is the biggest value?  (a) y  (b) 3  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 5 + 3. Let c = -30 - -43. Let u = 20 - c. Solve 0*l = -2*l + r + u, 3*r + 13 = s*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 1\/64  (b) -5  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 4*x**3 + 207*x**2 - 22*x + 1592. Calculate g(-52).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 89806309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1423145.\nAnswer: 5, 379, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 1:23 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -62. Let v be 8\/(-40) + ((-4)\/(-40))\/(-1). Which is the second biggest value?  (a) -5  (b) l  (c) -2  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 5*d**2 - 2*d + 11. Let z be (-87)\/(-12) + (-12)\/(-16). Let c be f(z). Calculate the greatest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 470, 944, 1424, 1916, 2426, 2960?\nAnswer: 3524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4966.175432 to 1 dp.\nAnswer: 4966.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + x - 6. Let t be z(0). Let g be 0\/5 + t\/(-5). Which is the third smallest value?  (a) g  (b) -4  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 16 = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/(-4)*(2 - 4). Solve 0 = -b*n - 5, -3*n = -0*d + 2*d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*b**2 + (-2 - 3 + 4)*(-2*b**2 + b - b))*(-225*b**2 + 113*b**2 - 164*b**2).\nAnswer: -1104*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 4*j = -5, -946*j - 2 = -2*n - 472*j - 475*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*o**2\/2 - 70*o + 98.\nAnswer: -(o + 14)*(11*o - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -69 + 205. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.97 - -2.1. Let n = -0.37 - y. Round n to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + 72*o**2 + 77*o - 291. What is w(73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7310811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6821 or -83157?\nAnswer: -83157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -198.9 take away -4?\nAnswer: -194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1377) + (3 + sqrt(1377))**2*6 - (sqrt(1377) + 2)*6.\nAnswer: 279*sqrt(17) + 8304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*o + 20 = 0, 12 = u + 2*u - 2*o. Suppose y = u*y. Let f = 4 - 3. Solve y - f = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 6*j - 24 = j, 0 = r - j + 2. What are the prime factors of r*(-3 - 2)*-17?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 - 12*t - 37. Determine d(-13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 248 = 6*k + 122. Solve -3*m + k = 6, 40 = -5*z + 4*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1899460062 to the nearest integer?\nAnswer: 43583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 180882482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-8) - (-561)\/136. Solve -13 = 2*i - p*i - x, -5*x + 29 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*y = -64 - 102, 5*r + 3*y = 417. Suppose -3*c = c - 48. What is the highest common factor of c and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 11*o**3 + 3*o**2 + 7*o - 38. Suppose v + 2*c = -3*v + 8, -12 = -2*v + c. Is z(v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 + 98. Suppose p = 2*h - 58, -2*h - 21 = -4*p - x. Let f = 32 - h. What is f rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3902.73 - 17.73. Are n and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -9*r**2 - 209*r - 72. What is x(-28)?\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -14. Let r be 13\/3 - b\/(-3). Let p(f) = -f**2 + 6*f + 7. Let x be p(r). What is the highest common divisor of 84 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 4 + -2587 + 2544.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 27 = 3*x - o, -4*x - 22 = 2*o. Let p = x + 4. List the prime factors of p\/(-3)*27\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 8\/9, 1.1, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, 8\/9, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -339536.999912 - -339540. Let z = -6 + 9. Let t = z - y. Round t to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 14, e: 1, a: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - 0 - -7 - 0. Let y(i) = -i**2 + 7*i + 12. Let d be y(u). Let f(n) = n**2 + 6*n - 1. Let o be f(d). Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 519  (c) -1\/2  (d) -13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, z: 1, o: 1, h: 1, c: 1, y: 8}. Give prob of sequence gzg.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 242*f**5 - 310*f**5 - 2*f**3 + 398*f**5 + (2*f**2 + f**2 - f**2)*(7*f - 7*f - 4*f**3) + 8 - 8 + 3*f**5.\nAnswer: 325*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 723007601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3768427609 to the power of 1\/3, to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 37719478 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 h(i) = 15*i**3 - i**2 + 1. Let b be h(1). Let m(z) = 11*z + 30. Is 39 a factor of m(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 14*t + 4. Determine o(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -5. Let l = 0 + u. Let j = 1 - -4. Solve j*h + l*r = -10, 4*r - 5 + 13 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157 = 5*s - 2*a + 39, 5*s - 102 = -2*a. Suppose 5*g = -28 - s. Let p = 10 + g. Solve -4*j = 2*x + 18, 19 = -4*j - p*j - 3*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1054\/10 - 4)\/(1\/5). Let n(m) = 0*m**2 - 532 + 4*m + m**3 + s + 12*m**2. What is the units digit of n(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 0.4174  (c) -0.05  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/4, 14, 4, 0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -43674767*g**2 + 155045*g. Let r(m) = 2817*m**2 - 10*m. What is 2*i(k) + 31009*r(k)?\nAnswer: 2819*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*y + 80*y + 82268 - 82254.\nAnswer: 6*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 10, -20, 4 in descending order.\nAnswer: 10, 4, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 0 - sqrt(11))*3 + (sqrt(132) + 2*sqrt(132))\/sqrt(12).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**2*a**(-1)*a*a)\/((a\/(a*a*a**(2\/7))*a)\/(a*a\/(a**(-3)\/a*a)*a)) assuming a is positive.\nAnswer: a**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -461278 by 4.\nAnswer: -230639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179728?\nAnswer: 2, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*u**3 - 69*u**3 - 241*u**3.\nAnswer: -293*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, y: 5, r: 2, g: 2, h: 1, i: 2}. What is prob of picking 1 h, 1 g, and 1 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-104591 - -13)\/((4 + 0)*(-5)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*b**2 + 2*b**2 - b**2)*(-2*b - 2*b + 2*b) + (3*b**2 - 2*b**3 - 3*b**2)*(2 - 4 + 0))*(662*b**2 - 1185*b**2 + 795*b**2).\nAnswer: 544*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41475\/6083*(-33)\/(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 10*h**2. Let m(p) = 3*p**2 - 5. What is a(m(r))?\nAnswer: 90*r**4 - 300*r**2 + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 111*d**2 + d + 30*d**2 - 5*d**2 + 15*d**2 in the form m + l*d + b*d**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 + 1370*p + 14*p**3 - 7*p**3 - 1370*p - 8*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 162 - 162.406. Let t = -1.09 + 0.69. Let k = t - b. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -1460*w**2. Let m(r) = -1188*r. Calculate z(m(p)).\nAnswer: -2060562240*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 46?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-103*n**3 - 2*n**3 - 4*n**3)*(-4*n + 9 + 6*n - 5 + 3*n) in the form m + x*n + q*n**4 + v*n**2 + c*n**3 and give c.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeheeeeheeehe. Give prob of sequence hheh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 9*t**2 + t + 7. Let b be j(-9). Put -2\/5, b, 1\/2 in increasing order.\nAnswer: b, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -50133 and 123.\nAnswer: -6166359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -367 - -191. Let f be (-10)\/u*14\/(-175). Let g = 667\/1540 + f. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 16 = 20. Let n be -1 - 1\/(4\/x). Let i be n + (2 - 0) + 1. Solve -i*q + 8 = 33 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**7\/840 + 7*d**6\/360 + d**5\/20 - 7*d**4\/24 - 4*d**3\/3 - 2*d**2. Let i(y) be the first derivative of v(y). What is i(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/7 + 90032*k**3\/7 + 2030577496*k**2\/7 + 186241995840*k\/7 + 4279188704400\/7.\nAnswer: (k + 46)**2*(k + 44970)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 414626 and 2274.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 247031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-3)\/(q**3*q*q)*q**(1\/11)\/q**6 assuming q is positive.\nAnswer: q**(-153\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/297745 + -34541\/595490. What is the common denominator of g and 26\/1267?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -112\/675323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, u: 4, m: 3, e: 1, o: 4}. Give prob of sequence em.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1149 and 9149487.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*n - 16*n + 27. Suppose 0*j + 12*j - n*j = 0. Which is the nearest to -1?  (a) -0.3  (b) j  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599652300 rounded to the nearest 100000?\nAnswer: 599700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7517865779 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2*sqrt(6655) + (2*sqrt(605))\/sqrt(11)))\/(sqrt(396) + 3*sqrt(396)*-2 + sqrt(396) + -6*-2*sqrt(396)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y - 2255411 + 1127862 + 1127549.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 609 is divided by 609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 580674.9 hours to microseconds.\nAnswer: 2090429640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 1. Let b(n) = n**2 - 5*n - 5. Let r be b(6). Let u be (-56)\/48 + r\/2. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115799 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.21 + -0.31. What is the nearest to i in 2, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1356 divide 17619864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -1 + -1 + (-2 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 214 - 4372?\nAnswer: -4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-4*(0 - -1)). What is the second derivative of -z**5 + 5*z - 9*z + o*z wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3872 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 72521 times 0.2\nAnswer: 14504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 23 = -0*m + v, 5*v = 10. Suppose 0 = n - 0*x + x - 1, -x = -5*n + m. Let o = 7 - n. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9833 + 9834. Solve -4*q - b - 11 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 7:50 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19326*a**3 - 1900*a**2 + 197952744*a wrt a?\nAnswer: -115956*a - 3800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 424233 (base 5) to base 3\nAnswer: 201122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*s - 133*s - 225 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/8160 and -7\/1020.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -15.04. Sort 3, h, 2\/5 in increasing order.\nAnswer: h, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/6)\/((-8352)\/1152).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 10*d + 111. Let j be p(-12). Let y(f) = -5*f**2 + 4*f**2 + 10*f + 11 + 3*f**2. Is y(j) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 3*a**2 + 5*a - 4. Let w(h) = 4*h**3 + h**2 - 2*h + 1. Let g be w(1). Let l be m(g). Let n be 4\/10*(-1)\/1. Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276004 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008302 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -19, -4, 2, -0.2428, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -253*c**2 + 130*c**2 + 122*c**2 + 97 in the form n + l*c + s*c**2 and give n.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3241 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: 857991 divided by 285997\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 35147 (base 12) in base 9?\nAnswer: 117411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i**(3\/5)\/i)))\/i*(i\/(i*(i**(-1)\/i)\/i))\/i)**(1\/23)\/((i\/i**(-1\/5)*i*i)**(7\/6))**(34\/7) assuming i is positive.\nAnswer: i**(-6247\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243 - 237 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*u**3 + 19 + 6*u**3 + 2*u - 4 as d*u**3 + g + l*u + o*u**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 82\/5379 and -20\/561.\nAnswer: 91443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from buaadbbubambmaabbdb. Give prob of sequence abu.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(((k\/(k**(-1)\/k*k))\/k*k)\/k))\/(k**0*k)*(k*k**(-1)\/k)**(-8)*(k**5\/(k**(-1\/2)\/k))**(2\/11) assuming k is positive.\nAnswer: k**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 485562295?\nAnswer: 5, 97112459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*((-88)\/20 - -4). Sort l, 0.1, -10, -1\/5 in increasing order.\nAnswer: -10, -1\/5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.726 and 2.\nAnswer: 1.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 12 + -4 + -3 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) - sqrt(175)*1)**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57 + -40. Let t = -14 + y. Solve 4*r + 3*n + 13 = -t, n = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-six fifths of a litre in millilitres?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 1862 - 1834. Calculate the remainder when 1203 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 0 - 2 = 0. Let x = 561998 - 561993. Sort l, x, -133 in decreasing order.\nAnswer: x, l, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*x - 31*x + 6360 = -57*x. Suppose -3*g - 4*c = 262, -4*g + 5*c + 0*c = 308. Let u be 1\/(1\/g*2). Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**5 + y**5 + y**5 + (-4*y**4 + 6*y**4 - 4*y**4)*(112*y + 69763 - 69763).\nAnswer: -221*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 89 - 61. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5 + ((-46562)\/48 - -9)*(-1)\/(-190) and 7\/54?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 4)\/((-15)\/6 - -2). Let a = -0.3 - -0.4. Let k = a - 0.3. What is the third smallest value in -5, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 99.1 + -100.1. What is the third smallest value in 23, w, 0.5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.9434 rounded to 2 decimal places?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + 2*c**2 + 8 - 8)*(-4 + 4 + 2*c)*(-10 + 2 + 4) + (5 - 5 + c)*(0*c**3 + c**3 + c**3).\nAnswer: -6*c**4 - 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lln when three letters picked without replacement from {l: 2, j: 1, w: 1, m: 2, n: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1 - 2*a**2 + 2*a**2 - 5*a**4 - a**4 wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 7:34 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -203402402 (base 5) to base 14.\nAnswer: -17c69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*i = 6*u - 18, -22 = -5*u + 4*i. Let x(p) = p + 0*p - u*p. Let z(s) = 6*s + 4 - 4. What is x(z(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2 - 25. Suppose 4*u = x + 7. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and -0.07473?\nAnswer: -0.0044838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 344014439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 603, -222, -1049, -1878, -2709, -3542?\nAnswer: -4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1314241234210 + 1?\nAnswer: 1314241234211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wrz when three letters picked without replacement from {z: 3, r: 5, i: 3, k: 1, w: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2547, -2549, -2551, -2553, -2555?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 940*o**2 + 3*o**3 + 954*o**2 - 1896*o**2.\nAnswer: 3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*m - 20. Suppose 27*n = -18*n - 90. Put n, m, -1, 12 in ascending order.\nAnswer: m, n, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4008079 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.545ml?\nAnswer: 0.001545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c\/(c**(3\/5)\/c))*c**1)\/(c**(-2\/9))**42*((c\/c**(6\/7)*c)\/c**2)\/(((c\/(c*((c**(-1)\/c)\/c)\/c))\/c)\/c)**(-2\/59) assuming c is positive.\nAnswer: c**(62842\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -p + 2*p + 6*k - 86, 202*p - 342 = -4*k - 488 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 90.5742 milliseconds?\nAnswer: 0.0000010483125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -9d62?\nAnswer: -9d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5624\/36725 + -2\/2825. Let a = 432\/2639 - 2\/203. Let u be 3*-1 - 1\/1. What is the closest to a in u, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from owzoogowyo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010101011011101010001011000 - -1?\nAnswer: -10010101011011101010001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 129, 154, 189?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -93.687 - -94. Let j = r + -0.313. What is the third smallest value in j, 9, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 2*r - 32 + 8 = 0, x + 2*r + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 105*w - 98*w + 302*w + 8343 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 53041511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/((-16)\/90))\/(208\/(-32)*36\/24)\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2735 + -879. Let x be v\/72 - (-2)\/9. Let f = 36 - x. Solve f = -3*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/5  (b) -11  (c) -471  (d) 3\/5  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -4.3?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 29*b - 37. Let k(q) be the second derivative of 9*q + 0 + 0*q**4 - 1\/5*q**5 + q**2 + 5\/6*q**3. Let l(o) = o**3 - o. Determine b*k(j) + 5*l(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131*j + 135*j + 146*j + 143*j + 137*j - 833*j + 144*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -43*v**2 - 12*v - 2. Calculate d(-2).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/12 - -3)\/((-136)\/(-1428))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**5 + 2248*h**4 - 404796*h**3 + 20012264*h**2 + 615273328*h - 2015181984 = 0. What is h?\nAnswer: -23, 3, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*g - 27, j - 16 + 58 = -3*g. What is the remainder when ((-18)\/g)\/(2\/70) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = -7*b + 147 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*v + 6*v - v)*(0 - 4 + 6) + 0*v - 2*v + v - 3*v + v + 0*v - 2*v + 3*v + v + (-6 + 2 + 2)*(6 - 6 + 3*v) - v - v - v to the form w + t*v and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2 + 37*r - 32. What is p(19)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31616567*h**3*k**2 - 4219*h**3 - 3*h**2 - 10*h - 2 wrt k.\nAnswer: 63233134*h**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002639077 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/(n*n\/n**(-7)))\/(n*n**(-2\/7)*n))\/((n**(14\/3)\/n)\/(n*n**(-4\/11))) assuming n is positive.\nAnswer: n**(-2713\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*z**4 - 49*z**2 + 49*z**2 + (3*z**3 + 25*z**2 - 25*z**2)*(36*z - 29 + 29).\nAnswer: 116*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3857459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5357237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 350085304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84067, 672579, 2269977, 5380705, 10509207, 18159927, 28837309?\nAnswer: 43045797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -5*b**2 + 18*b + 3. Let h(o) be the first derivative of -2*o**3\/3 + 3*o**2 + o + 335. Determine -4*a(w) + 11*h(w).\nAnswer: -2*w**2 - 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**3\/15 + 2*a**2\/5 + 4*a\/5 + 8. Let v(p) = 0. Calculate p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*27\/2 + -1. Suppose 0 = -13*m + 12 + 14. Solve -m*c = -4*d - d + n, 5*c - 3*d + 27 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/16*-4)\/(679\/582)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l = j - 46, 3*j - 19*l - 279 = -0*j - 19*l + 68*l for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighty-five sixths of a century?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-4 - (-14 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20278*h - 20271*h - 20312*h + 81119*h - 20275*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 3*g - 6. Suppose -5*k = 4*c - 6*c + 15, 0 = -2*c + 3*k + 13. Let j be n(c). Calculate the remainder when 356\/8 + (-2)\/j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57597247667 + -57595958384.99836. Let i = t - 1289311. Let n = 29 + i. Round n to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4  (b) -18  (c) 1\/2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.7 + 0.2. Let l = -0.5 - n. Which is the closest to 0.1?  (a) l  (b) -5\/4  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3950 divided by 1975\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w = -11*w + 72. What is the second derivative of 10*g**4 + 3*g - w*g + 3*g wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -15, 64, 2, 3, -18 in decreasing order.\nAnswer: 64, 4, 3, 2, 1, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 5*f + 1, z - 2*f + 0*f - 20 = 0. Suppose 3*d - 1 = 2, 0 = 5*n - 4*d - 21. Solve -5*t + 3*a - z = 0, -n*t - a + 1 = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 3*o**3\/2 - o**2\/2 - o. Let k be ((-1)\/(-3))\/(4\/12). What is the units digit of y(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 647366565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 60888318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 334, 349, 406, 535, 766, 1129?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 16*j. Suppose -924*d = -925*d + 2*l + 16, 4*d - 5*l = 64. What is q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*n**3 - 2*n**3 + 0*n**3)*(-1 + 1 - 2*n) - 2*n**4 + 0*n**4 + 0*n**4)*(16 + 8 - 11).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3059 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -167673 + 167668. Let f = -0.4 + 0.3. Which is the closest to -0.3?  (a) v  (b) 0.4  (c) -2  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 21970*a + 1366. Is b(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-15)\/(-12)))\/((-90)\/(-675)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -57*l**2 + 18*l - 29. Let n(h) = 29*h**2 - 9*h + 16. Let g(m) = -3*j(m) - 5*n(m). Let r be g(1). Calculate the highest common factor of r and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1072 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 197*k**3 + 329*k**2.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 993?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2553, 3340, 2353, -402, -4919?\nAnswer: -11192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -5*x**7\/112 + x**6\/16 + 3*x**5\/5 - 5*x**4\/4 + x**3 - 3*x**2 - 20*x. Solve p(r) = 0 for r.\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 940 - 6*u - 1570 - 4*u + 1369 as a + q*u and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1041 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)*-2*-6)\/((sqrt(125)*2 - sqrt(125)) + sqrt(180)*1).\nAnswer: 24*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (-2 - (1 + 3 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*o = -7149 - 3147, 0 = 5*b + o - 12870. What is the greatest common divisor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 139 = -257. Let q be (-22)\/k*1*3. Which is the smallest value?  (a) -0.3  (b) 0.2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2. Let m(f) be the second derivative of -7*f**3\/3 - 3*f**2\/2 + 379*f. Calculate z(m(l)).\nAnswer: 196*l**2 + 84*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 116 + -96. Find the first derivative of 91 + t*p - 22*p + 64*p wrt p.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**2 + 4 - 4 + 2)*(-4 - 1 + 7 + (-1 + 3 + 0)*(-5 + 4 + 0) + 0 + 5 + 0) to q + i*r + s*r**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggzxxxzdd. Give prob of sequence gzdz.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 38*h - 43*h. Suppose -h*u + 2*c + 114 = 0, u - 51 = -0*c + 3*c. What is the least common multiple of u and 7?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - y + 10, -4*z - y - 17 = 0. Let l(s) = s**3 + 4*s**2 + 2*s + 8. Suppose 0 = f - 5*f + 28. Calculate the remainder when l(z) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/1)\/((-15)\/(-40)). Let o be 40\/18 - f\/36. Let r = 8 - 2. Solve o*c - 3*x = 6 - 1, 0 = 3*c - 3*x - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 1.6, 0.4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 124.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53813\/20 - -2694. Let x be ((-6)\/(-18))\/((-2)\/(-370)). Let z = x + -3823\/60. What is the common denominator of s and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 53 = -d, 0 = 5*l + 40 - 10. Solve 29*q + d*q = 232 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(252\/8)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -568 + 565.49. Let v = d + 2.01. What is the smallest value in -2\/13, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2. Let t(p) = -1048*p**2. What is t(s(r))?\nAnswer: -4192*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 634632 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*f**3 - 96*f**3 - 162*f**3 - 34*f + 14*f + 20*f.\nAnswer: -489*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2141*r**2 - 4440*r**2 + 1527*r**2.\nAnswer: -772*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/22603 + 564839\/2667154. What is the common denominator of z and -41\/10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 1)*(-20)\/(-60). Let q be (2\/10)\/(2*(-4)\/20). Which is the nearest to -5?  (a) q  (b) 1\/10  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 8 - 3*q**2 + 17.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.111563399 + 0.09?\nAnswer: -0.021563399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10951480255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4730995*a**3 + 0*a - 4730997*a**3 + 0*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 5*s**2 - 8*s + 8. Let d be w(7). Let k(c) = c**3 + 2*c**2 - 4*c + 1. Let t be k(-3). Suppose -d = -t*o + 86. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/7, 1\/8, -111\/5, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139963756?\nAnswer: 2, 293, 307, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 303 and 8?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2267 + 16278. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 639 + 57 = -87*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 801 and 90869.\nAnswer: 817821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 1\/2  (b) -0.2  (c) 1\/7  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4\/157 - -491\/785. Let w = -0.039 + -0.961. Are k and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -75 - -107. Suppose 5*a - l - 16 = 0, 4*a + 3*l = -l + b. Solve 3*q + q = -a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.26, 0.4, 75899?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/12 + (-1290)\/(-180). Suppose -413 + 49 = -x*r. What is the smallest common multiple of r and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -267565 less than -267356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2133434 (base 5) to base 10\nAnswer: 36744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/261 and -19\/261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 12*g**3 + 5*g**2 - 3*g + 4. Let n(w) = 12*w**3 + 6*w**2 - 4*w + 5. Let j(t) = -4*n(t) + 5*v(t). What is the third derivative of j(a) wrt a?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3683258*d**3 - 114*d**2 - 118605359*d.\nAnswer: 22099548*d - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 82872.31 litres?\nAnswer: 82872310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**3 + c**2 - c - 1. Let q be x(1). Suppose -4*y - 4*b = -2*b - 42, q*b - 39 = -3*y. What is the greatest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271*l + 843*l - 284*l - 279*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + sqrt(171) + ((sqrt(152) + 2*sqrt(152))\/sqrt(8) + 0)**2.\nAnswer: 3*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 5*u**3 + 2*u + 495. Let r(i) = -i**3 + 1. Let h(s) = a(s) + 4*r(s). Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 4*v - 4 = 0, -2*w = -3*w - 4*v + 14. Suppose 0 = -i + w. Solve i*q + 0 + 9 = -n, 9 = 2*q - 5*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -144*a - 1. Is c(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.169716um to kilometers.\nAnswer: 0.000000008169716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = -3*c + 1638. Calculate the remainder when c is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -16  (b) -2\/13  (c) -1\/5  (d) 2\/13  (e) -1  (f) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 21330?\nAnswer: 1\/4266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*1) + 3 - (-1 + 3*sqrt(1300) - sqrt(1300) - sqrt(1300) - sqrt(1300))))*5.\nAnswer: 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*l - 161*l = 224. Solve -16*w = l - 46 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 8*z**2 + 5*z - 5. Let p be j(6). Let y = p - 249. Is 2 - 2 - (y - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 2 = 4*c, 3*f - c = 19. Suppose 4*y + 16 = 0, a + 5*y = f*a - 15. Which is smaller: a or -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -41*c**2 - 59*c + 5. Let b(y) = 20*y**2 + 30*y - 3. Let f = -55 - -58. Let m(d) = f*k(d) + 5*b(d). What is the second derivative of m(x) wrt x?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2472 divided by -6\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84483.\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1465 divide 50277335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1765416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 17\/6*g**6 + 193\/2*g**2 + 208*g + 0*g**3 + 0*g**5 + 0*g**4 + 0. What is the derivative of y(f) wrt f?\nAnswer: 340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d**2 - 24*d**2 - 989*d + 989*d + 5*d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1a6268 (base 11) to base 6\nAnswer: 10433511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*b + 5*z + 5, 3*z = -3*b - 45. Let a be (-92)\/184 + 0 + b\/(-4). Solve -4*s = -a*n - 16, 6*s - 2*s = -5*n + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 143*n - 5. Let h(v) = 142*v - 6. Determine -5*h(l) + 6*u(l).\nAnswer: 148*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1866?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - h = -149348, -d = -12*h + 13*h - 49782. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.151*-0.2\nAnswer: 0.2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -7) + -15 - (-3 + 18).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13994 and 82?\nAnswer: 573754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230483547?\nAnswer: 3, 7, 19, 167, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(6\/(-3))*-10. Sort -1, a, 0, -4 in ascending order.\nAnswer: -4, -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2111021 (base 3) in base 13?\nAnswer: a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 841015.\nAnswer: 5, 7, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -105, 5, 0.4, 12234\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1561274570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 311572632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((4\/((-56)\/(-18)))\/((-31)\/(193781\/(-114)))).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -99512.53 - -99394.530021. Let q = 118 + u. Round q to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -334 divided by -167?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*4 - sqrt(35))\/((3*sqrt(30))\/sqrt(6)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 157 and -120?\nAnswer: -18840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/13*((-242)\/33)\/(-22).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.968 less than 4?\nAnswer: 2.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -6. Let z be -8 - f - -4*1. What is the remainder when 16 is divided by 12\/z*4\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**2 - s. Let m be k(-1). Let b be 3\/(42\/22) - (-6 + 8). What is the closest to m in 5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - -2. Let j be -1 + (-2)\/u*2. Let t be 1\/12 + (-138)\/(-72). Which is the closest to 0.1?  (a) t  (b) -0.6  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 21890173 and 0.287?\nAnswer: 21890172.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 550389 times 11?\nAnswer: 6054279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/378)\/((-4)\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 5*b**2 - b + 24. Determine k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 6:49 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85848094 - 18673*f**2 + 85848094)*(2*f**3 - 4 + 4).\nAnswer: -37346*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (0\/1 - 70\/25).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -4*x + 44, -3812*x + 11 = -3811*x - 5*l for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2 + 8 = 0. Which is the third biggest value?  (a) w  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 24. Let d be (-1)\/(-7) + (-82)\/h. Solve 0*z = -2*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -546, -2477, -5694, -10197, -15986?\n\"Answer: -643*j**2 - 2*j + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 2.75  (c) 0.01  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2251775 to the nearest 10000.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11)\/(-10) + (1768\/(-80) - -22). Solve -3*v - 21 = -3*i, 2*v + 4 + r = -i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, u: 4, t: 2, b: 2}. What is prob of picking 1 j and 2 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111528 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or -13776?\nAnswer: -13776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a + 3. Suppose 2*u - 4*q - 34 = 0, -8*u + 3*u + 4*q = -55. What is the remainder when 48 is divided by m(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.8 + 6. Sort y, 0, -5 in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjcjccj. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.493 - 3.597. Let w = -0.29 + 0.38. Let g = i + w. Which is the closest to -2?  (a) -1\/5  (b) -0.4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -944996 + 3?\nAnswer: -944993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/((-165)\/(-143))*2\/6 + 3. Which is the nearest to 0?  (a) p  (b) -3  (c) 5  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 8. Which is the closest to i?  (a) 0  (b) -2  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 14 = -2*s. Let y = -5 + s. Let i(k) = k + k - y*k - k. Let r(d) = -d. What is r(i(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1314648 - -0.38162181.\nAnswer: 0.51308661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9661 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 4*v + 53. Let b be 1\/(-5) + -2 + (-130)\/v. Solve -3*r + 1 = 5*a, -b*r - a - 4 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*l = -120*l + 51 - 201 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8211762106?\nAnswer: 2, 14869, 276137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 + 62. Let w(v) be the third derivative of -5*v**2 + 0*v + 0 - 1\/20*v**5 + 0*v**q + 0*v**3. Factor w(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -84, 3, -3, 494 in descending order.\nAnswer: 494, 3, -2, -3, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 337362 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 l(i) be the second derivative of -i**5\/70 + 2*i**4\/21 - 4845*i. Let l(h) = 0. Calculate h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9901 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 19*u**2 + 27*u + 3. Calculate the remainder when 968 is divided by n(-17).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 41850360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-10))\/((-9)\/(-100)*220\/132)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 4*u - 7. Let t be (2 + 4\/(-3))\/(4\/(-54)). Let v be l(t). Let x = 122 - v. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7437 minus 4063184?\nAnswer: -4070621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 524 - 493. Solve -14*c + 27 = -19*c + k, 5*c + v = 3*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -792\/13 + 4002\/65. Let y = 32\/65 - u. Suppose -t + 8 = t. Which is the closest to -1?  (a) y  (b) t  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 26\/(-6) + 28\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.222 + -103.222. Let o = 102.99939 + l. Round o to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**5 - 102*v**4 + 3221*v**3 + 5322*v**2 - 66040*v = 0. Calculate v.\nAnswer: -127, -5, 0, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 10*k**2 + 6. Calculate l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -91*a + a**2 - 85*a - 2*a**3 + 5*a**4 + 174*a - 7 + 0*a**4 + 0 to y*a**2 + k*a + z*a**4 + l*a**3 + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*f**2*p**3 - 316*f**2*p**2 + 6*f**2 + 7*f*p**3 + 4*f*p**2 + 12*f + 1 wrt f?\nAnswer: -24*p**3 - 632*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/(-126))\/(3\/(-9))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 26*a**2 - 55*a + 32. Let g be j(-28). Solve 0 = -4*r - g*k + 20, 0 = -5*r + 3*r + k - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*-2 + (-8 - 1). Let k = 2 - i. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1180680 is divided by 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 l, and 1 h when three letters picked without replacement from hllilllhll?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 99.7 + -99.65. Which is the second biggest value?  (a) 0.2  (b) 7  (c) 1\/10  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 1352684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*d**2 - 15*d**2 - 5*d + 47*d**2 - 11*d**2 to the form a*d + t*d**2 + h and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29669524, 29669530, 29669536?\nAnswer: 29669542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4696, -37579, -126826, -300619, -587140, -1014571, -1611094?\nAnswer: -2404891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f*(f**(-12)\/f)\/f)*f)\/f)\/f*f)**18*f**(8\/5)*f*f**(-33) assuming f is positive.\nAnswer: f**(1108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 630*o + 575*o**2 - 1748*o**2 + 587*o**2 + 583*o**2 + 633 = 0.\nAnswer: -1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 987398, 1974796, 2962194?\nAnswer: 3949592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 20, -2*q + 0*q - 5 = n. Suppose 6 = -4*u + a, 0 = -2*u - n*a + 7*a - 10. Let p = u - -6. Solve -6 = -2*c - 5*y - p, -5*y = -c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 366606 and 12304953?\nAnswer: 5913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -l**4\/12 - l**3\/3 + l**2 + l. Let n be r(-4). Let h = -3 - n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*k + 3*w, 0 = 3*w - 4*w + 4. Suppose -21 = k*o - 1. Let v(u) = -u - 1. Give v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 1 + ((-20)\/(-18) - 310\/279). Sort -1, j, 209 in decreasing order.\nAnswer: 209, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r + 260*r**2 - 467*r**2 + 201*r**2 + 2*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 111434244204?\nAnswer: 111434244204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 3219755602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-328)\/(-246)*-2*3\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 13 + 7 = 4*q - 3*j, 2*j = 0. Solve -5*w - 8 = 2*t - 7, -2*t - q = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m**6 - m**4 - 12*m**2 - 90*m - 1 wrt m.\nAnswer: -120*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, f: 6, u: 5, c: 3}. Give prob of sequence cccu.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0*z + 7 + 4*z)*(5*z**2 - 642695 + 7*z + 642697 - z + 5*z**3) to the form r*z + x*z**3 + t + s*z**4 + c*z**2 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 7:13 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/11)\/(a**(-9)\/a))\/(a*(a*a*a**(5\/4)\/a*a)\/a*a*a\/(a\/a**15*a)) assuming a is positive.\nAnswer: a**(-371\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(-10) + 212\/10 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4672265?\nAnswer: 5, 13, 71881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19\/4 + -37\/12. Let l = -0.01 + -0.99. Let m = -0.6 - l. What is the biggest value in m, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41766.2 + 41766. What is the fifth smallest value in -1, c, -5, -1.9, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10062?  (a) -2\/3  (b) 3\/7  (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -69.957315 * 0.06.\nAnswer: -4.1974389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 4, q: 3, r: 1, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 10 - (-20 + -8 + (-8 - -17))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 69, -0.2, -1, 0.41, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 17*o - 15. Let s be d(-16). Let g(n) = 2*n**3 - 2*n + 2. Let p be g(s). Let z = 57 + -39. Calculate the highest common divisor of p and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**4 - 30535*h**3 - 28303119*h wrt h?\nAnswer: -12*h**2 - 183210*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 75, 118, 109, 48, -65?\n\"Answer: -26*a**2 + 121*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3212.4 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 20 + 25. Suppose -4*h + m + 3 = 0. Suppose 0 = h*k - 6 - 6. Which is smaller: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*x**4 - 91305*x**3 - 605*x**2 - 2*x + 104 wrt x.\nAnswer: 72*x - 547830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of y**5\/20 - 5*y**4\/24 - y**3\/2 + y**2. Let c = 6786 - 6782. Determine h(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 385405389, 385405384, 385405377, 385405368, 385405357, 385405344?\nAnswer: 385405329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-36) + (-4)\/48. Which is the nearest to 0.08?  (a) 0  (b) -5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00209814 to 5 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.5  (b) -0.134  (c) 1\/5  (d) 0  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -77488\/7, -0.5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -6. Let b(c) be the first derivative of 0*c**2 - y + 1\/3*c**3 - 4*c. What is the derivative of b(i) wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 799 = -6*j - 931 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(12\/(-9) + 2). Is k - 1056\/(0 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2602*d + 5 - 1 = -5196*d + 2596*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 72\/384 - (57\/(-16) - -3). Factor -6 + d*x**2 - 17\/2*x.\nAnswer: (x - 12)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1128 + -1002?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 96 = 6*q. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165911 is divided by 155891.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9949*m**5 + 13511*m?\nAnswer: 198980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x**2 - 11*x + 53. Let d be z(8). What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -89047187.7 to the nearest ten thousand.\nAnswer: -89050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**4 + 41416*g**3\/3 - 31763004*g**2 + 24355164600*g + 8121917934 = 0.\nAnswer: -1\/3, 2301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13135140911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r + 22. Calculate y(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 41*l + 6. Let a be ((-8 - -2)\/(-4 - -5))\/(-1). Let s be g(a). What is the greatest common divisor of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 930271?\nAnswer: 5581626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*945\/(-70)*12\/(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -88 + 0?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*c**2 + 16*c**2 - 715*c**2 + 308*c**2.\nAnswer: -402*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -164*z**2 + 7*z**3 + 162*z**2 - 1 - 2*z - 2 in the form g*z**2 + c*z**3 + s + h*z and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (54\/135)\/(98\/50 + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(4\/3)\/u))\/(u*u**0*u*u))\/(u**0\/u*u\/u**(2\/21))*(u**0)**(-7\/13)\/((u*u**(2\/23))\/((u\/(u*u\/((u**(-7)\/u)\/u)))\/u)) assuming u is positive.\nAnswer: u**(-6919\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + (-2)\/((-8)\/4). Suppose -c*y = 0, -2*y - 3*y = -2*v. Solve v = -3*j - 5*w - 5, 5*j - 36 = j + 4*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-446)\/54 - (-14675)\/1761?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 9*i**2 - 15*i + 15. Let l be o(-6). Let b(d) = -d**2 - 9*d - 17. Let c be b(l). Put -5, 3, c in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 1. Let s = 22.9 - 65.3. Let u = s + 42. Which is the third biggest value?  (a) u  (b) n  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 29 - 420*o**2 - 424*o**2 + 845*o**2 + 11*o. Let d be x(-8). Which is the nearest to d?  (a) 1\/4  (b) 4  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(20) + (-2*sqrt(320) - sqrt(320) - sqrt(20) - sqrt(20) - sqrt(20)) + sqrt(20) + sqrt(20))\/sqrt(4) + -4)*6*1.\nAnswer: -72*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 684603919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + l + 86. Let w = 37 - l. What is the nearest to 0 in w, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 319*y**2 + y. Let s(o) = o. What is l(s(f))?\nAnswer: 319*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13\/520*8 + 208\/10. Suppose -26*k + 20 = -u*k, 0 = -b + k + 1. Solve -4*o = b*g - 1, 4*g + 3*o + 0*o = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/(-150))\/(1\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9460 and 41360.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k - 6. Suppose 27 = 13*n - 51. Suppose 4*f + 13 = i, -2*i + n + 2 = -2*f. Calculate a(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24439777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/354 and (285\/(-45))\/19 + (-34)\/4.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25?  (a) -0.17  (b) 2859  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10274 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 444445 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*d - 251119 = -258711 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134541 (base 6) to base 7.\nAnswer: -52060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 9*d + 2. Suppose -19 + 1 = 2*t. Let c be q(t). Solve -c*y = -1 + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l - 1. Let k be t(-1). Sort 1, k, 5 in increasing order.\nAnswer: 1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p - 46 + 66 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*t - 170 - 43 = 483 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4464\/(-8424) - (-12)\/39. Which is the nearest to -22?  (a) -1  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((1 + sqrt(171) + -4 + -5 + -2*sqrt(171) + sqrt(171) - (((sqrt(171) + -2)*5 - sqrt(171)) + 3)) + -3))**2.\nAnswer: 864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 1:57 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 5:21 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 15\/8  (b) -0.5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*i + 6*i - 1 = 0, -2*i = y + 26. Let t = -12 - y. Solve 0 = -l + 2*l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -9*s**4\/4 - 10*s**3\/3 + 5*s**2\/2 + 21*s - 5. Let m(k) = 5*k**3 + 5*k**2 - 2*k - 11. Let o(t) = -4*i(t) - 7*m(t). Give o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*v, 2*m - 29*v + 26*v - 5 = 0. Let n(w) = -24*w**3 - w + 1. Give n(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*(k\/(k*k**(-1\/5)\/k)*k)\/k*k*k*k**(-6)*k)\/(k**(-2)*k\/k**(-3\/5)))\/(((k\/k**0)\/k)\/k**7)**(5\/16) assuming k is positive.\nAnswer: k**(223\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 63 = -31. Let j = 0.07 + -0.17. Which is the nearest to j?  (a) -5  (b) v  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17608 + -708.469.\nAnswer: 16899.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*t = 22, 2*t - 3*t = -5*b - 18. Let d be ((-6)\/126*-7)\/((-3)\/45). Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 10 + 22 = 0. Is 2 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -7*k + 4. Let g = 17 - 6. Solve -14 = -k*q + 4*y, -q + y - g = 5*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/((57\/(-570))\/(320291\/(-15))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 35 = -5*u, 9*u - 8*u - 9 = z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 144 (base 11) to base 12.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 246 and 7141093?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -28, 0.\nAnswer: -28, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2 + 2)*(64*z**2 + 344*z - 344*z)*(1 + 5 - 4) + z + 3*z**3 - 3*z - 2*z**3.\nAnswer: 257*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/(-14))\/((-42)\/(-49)))\/((80\/16)\/(-160))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*m**3\/3 + 104*m**2 + 324*m - 440\/3.\nAnswer: 4*(m + 5)*(m + 11)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(4\/8) - 30\/(-1). What is the highest common factor of p and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 at most as big as -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 27*p**2 - 3*p - 77. Let g be n(-27). Factor -127*y**2 - 2*y**3 - 14*y**3 + 64*y**3 + g + 20*y**3 - 20*y.\nAnswer: (y - 2)*(4*y + 1)*(17*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (-2)\/2 - -14. Let v be (-60)\/(-27) - (-2)\/(-9). Suppose 0 = 3*b - g - 3, -11 + v = -3*g. Calculate the greatest common factor of w and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73 + -73.01656. What is k rounded to four dps?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*a - 75*a + 410 = 0. Suppose 5*r = 8 + 2. Suppose -a*h + 60 = r*h. Solve -h = -5*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven tenths of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3*sqrt(2) - sqrt(2))**2 + -3 + (2*(-1*sqrt(162) - sqrt(162)))**2.\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 5:41 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38815 + -23583.\nAnswer: 15232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*m**3 + 42*m**3 + 46*m**3 - 128*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 80870.5 rounded to the nearest 100?\nAnswer: 80900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q - 4. Let f be a(5). Let n be (-28)\/(-6) + 4\/(-6). Suppose -n*y + i + 72 = 0, y - i = i + f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 2*z**2 - z + 1. Let w(d) = -d - 19. Let x be w(-11). Let o(u) = -2*u - 14. Let f be o(x). Determine a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a - 12. What is the remainder when 64 is divided by n(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -707 - 12*j**2 + 707 to m + h*j**2 + y*j and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from phphpkkhp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*b = -55*b - 12. Suppose -6 - 2 = -4*z. Suppose 2*s + 6 = 0, -z*k = -b*s - 16 - 1. Solve 0 = 4*u - 0*u + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 107 + 2385?\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 27*p + 19)*(2*p - 2 + 2)*(-1 + 6 - 3) + (3 - 3 - 2*p)*(3*p + 3 - 3).\nAnswer: -114*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlllddddzjljzzzdd. Give prob of sequence lz.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -118, -274, -472, -712, -994, -1318?\n\"Answer: -21*u**2 - 93*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2*sqrt(114)*-1)\/(sqrt(6) + 3*sqrt(150)))**2.\nAnswer: 83\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/1204 and -71\/252?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) 1.6236  (c) -8  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-1)\/(2\/(-6)). Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*s**2 - 1840*s**3 + 45*s**2.\nAnswer: -1840*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 6*s**2 - 17*s + 53. Give y(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 130354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 148.9 and -31652.\nAnswer: -4712982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -4*d + 3*d + 4, 0 = -4*f + 3*d - 12. Let r be (8\/(-50))\/(5\/(25\/(-2))). Factor 2\/5*m**2 - r + f*m.\nAnswer: 2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0, 0.3, 0.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-475)\/275*22?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/2 - 39437*f - 78873\/2.\nAnswer: -(f + 1)*(f + 78873)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -129 - -13 - (1043 + -1212)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*m - 4*j - 55, 5*m - 64 = -3*j. Suppose 9*k - 4*k = 15. Suppose 9 = -k*d + 90. What is the remainder when d is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**3 - 3 + 2*y**3 + 1)*(0*y**2 + 8*y**2 + 4*y**2) + 0*y**5 + y**5 + y**5 + (0*y**3 - y**3 + 0*y**3)*(y**2 + 0*y**2 + 0*y**2).\nAnswer: -35*y**5 - 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -693?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 + 27. Let s be 6\/4 + 20\/i. Solve -21 = -5*n + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 111689000 to the nearest 1000000.\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from fmvfn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -2443\nAnswer: -97.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-125*l**2 - 148*l**2 - l**4 + 147*l**2)*(-l + 0 + 0) + (5*l + l - 4*l)*(-l**4 - 62*l**3 + 62*l**3).\nAnswer: -l**5 + 126*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6897 + 6900.047. Let k = c + -0.047. Let s = 0.14 + -6.14. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4)*(-1968)\/(-1476). Suppose -1\/3 + h*z - 1\/3*z**2 = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 2*t + 32, -5*w + 2*t = -48 - 35. Suppose 2*s = w - 3. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5457673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -3113.9327\nAnswer: -311.39327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323424118 is divided by 1545?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 171.699 + 0.301. Let m = -172 + y. Which is the nearest to 2\/7?  (a) -0.2  (b) -1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1.8, 0 in decreasing order.\nAnswer: 1.8, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 239 divided by -24?\nAnswer: -239\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18575 by 2237.\nAnswer: 18575\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 972*s**2 + 40846*s + 917. Determine d(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 3) + (-7 - 49\/(-3))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2357 is divided by 1125?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16313 + -16311. Let l(d) = -d + 66 + d**2 - 66 + d**3. Determine l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + m + 21 = 0, c + 4*m = 2*m + 8. What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from quyujzyw. Give prob of picking 1 w, 1 z, and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, a: 2, o: 1, s: 1, i: 4}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**4 - 3*a**4 + 5*a**4)*(-5 + 7 - 6)*(303 - 75*a - 303).\nAnswer: 1200*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2555741000 rounded to the nearest one million?\nAnswer: -2556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 37 - 89a?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98523821?\nAnswer: 11, 167, 53633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*u + 150 = -68*u. Calculate the remainder when 53 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.93142 kilometers in nanometers?\nAnswer: 20931420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8430)\/(-48051)*(-1 - 3\/6)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 17*n**2 - 16*n + 3. Let j be m(16). Suppose -2*k + 4*k + 2506 = 4*p, -j*p + 1862 = -5*k. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**4 + 0*h**4 + 0*h**4)*(52*h + 38*h - 71*h - 2).\nAnswer: -38*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 450469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3 + 5. Let k be 16 - (l\/2 - 2). Calculate the remainder when 10 is divided by (-4)\/k + (-60)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-3))\/((-1)\/(-12)). Let s = -5 - j. Suppose 5*m = -s*n + 25, -19 = -3*m + 5*n - 4. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6081.006ml to litres.\nAnswer: 6.081006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8275105 and 15?\nAnswer: 24825315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/6*-2)\/(94\/94)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11859 and 3618.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1124 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 373177 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1489 is divided by (-8)\/24*(6\/5)\/(74\/(-4255))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 437.95 - -8.05. Let d = r - 444. Sort 13, 0.5, d in descending order.\nAnswer: 13, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-16))\/(249\/(-830))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000616955 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*p - 26 = 0, 4*p - 62 - 24 = 5*l. Let q = l + 42. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44\/(((-72)\/66)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76564763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.645 times -134?\nAnswer: 86.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -2*d - 600. Suppose -j + 3*u + 12 = 2*u, -5*u = 5*j - 90. What is the highest common divisor of d and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**16*m*m*m**(-2))\/(m\/(m\/(m**(-13\/4)*m))*m**(-7\/5)) assuming m is positive.\nAnswer: m**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + d = 456. Suppose 0 = -5*n - j + 2*j + d, -4*j + 4 = 0. Suppose 5*t = -4*q + n, -3*q + 5*t = t - 25. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 4630207*p**2 + 4630193*p**2 - 9.\nAnswer: -14*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - 5*sqrt(80) - -1*-5*sqrt(20))\/((sqrt(72)*2)\/(sqrt(2) + sqrt(18)\/(2*sqrt(9)))).\nAnswer: -13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 26*f**2 - 59*f + 89. Let p be a(28). Suppose -4*g + 3 + 9 = 0. Suppose 12 + 3 = g*w. Calculate the highest common divisor of p and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**3\/2 + 13*j**2 + 2*j. What are the prime factors of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 977 is divided by -106*(5 - 275\/50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-8)\/4*-3. Suppose -v + 0 = -d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 95849784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h**3 + 3*h**2 + 2*h + 3349. What is the hundreds digit of k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127234 - -0.2.\nAnswer: -127233.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 1 - 276928*d**2 + 6.\nAnswer: -276928*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-4) - 2)\/1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -63*o**2 - 6*o + 4. Let d(a) = -190*a**2 - 17*a + 11. Let w(c) = -6*d(c) + 17*p(c). Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*z = -39*z + 1405*z - 1244 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 48.799  (b) -4  (c) 3  (d) 1\/2  (e) -12\/11  (f) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*m**2*y**2 - 25*m**2*y + m**2 - m*y - 507 wrt y?\nAnswer: -8*m**2*y - 25*m**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8*i**2 - 356*i + 4. Let j(c) = -11*c**2 + 357*c - 6. What is 4*f(g) + 3*j(g)?\nAnswer: -g**2 - 353*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1457324?\nAnswer: 2, 11, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 13*d + 15536. Let t(a) = -10*a - 11656. What is 9*t(g) + 7*x(g)?\nAnswer: g + 3848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, e: 3, b: 2, x: 2, r: 3, j: 2}. What is prob of picking 1 r, 1 e, and 1 x?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/14)\/((-1)\/(28\/(-16)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -47*x - 42. Let s be d(-1). Solve -6*l + l - 20 = -2*b, -2*l = -s*b + 29 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d - 1. Let u be q(1). Let b be (-2 + (-11)\/(-4))*-24. Let m = -13 - b. Sort u, m, 1 in decreasing order.\nAnswer: m, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/618816 and -3\/7.\nAnswer: 4331712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeekk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 3:31 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220023 (base 5) to base 9.\nAnswer: 11267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 14) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -t**2\/2 + 19*t - 765. Let w(z) = 2*z - 19. Calculate 3*w(g) + 4*y(g).\nAnswer: 2*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -842*p**3 + 131*p**2 - 7*p - 5006937?\nAnswer: -2526*p**2 + 262*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -105649 and -0.06.\nAnswer: 6338.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rpipprmppirprrimmm.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/((-114)\/291) + 10\/(-95). Suppose 7*a + 112 = z*y + 5*a, 0 = -y - a + 21. Let w = -36 - -52. What is the smallest common multiple of w and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/7, 17, 1\/2, 1\/3, -1\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201507119.\nAnswer: 11, 181, 101209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*((-48)\/(-189) - 32\/112)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 378*u**2 - 6*u + 21. What is the thousands digit of a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -583632 divided by -4?\nAnswer: 145908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*x**4\/5 - 1656*x**3 + 20331*x**2\/5 + 11721*x\/5 + 306 = 0.\nAnswer: -1\/4, 3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 + 11*s**2 + 3*s - 7. Let n(c) = 3*c**3 + c**2 - 2*c. Let t be n(1). What is the remainder when l(-4) is divided by 17 + ((-16)\/t)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/5*y**5 + 5*y**4 - 194\/5*y**2 + 169\/5 + 142\/5*y**3 - 143\/5*y = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.09  (b) 1\/2  (c) -0.13  (d) -37  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v + 0 + 0 + (2 + 1 - 2)*(-v + 0*v - v) + (0 + 3 - 4)*(5*v - 4*v + 0*v) to the form h*v + t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + 5*o + i - 17, 5*i = 2*o - 23. Let q = 77 + -73.9. Let n = 3 - q. What is the smallest value in -4, o, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 174829386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 291007 divided by -21.\nAnswer: -291007\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1060*t + 1057*t = -f - 35, -4*t - f = 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 3*x - 34, 7*x = -3*k + 2*x + 50. Let c be (-12)\/k + 26\/10. Suppose -69 = -4*i + 5*n, 3*i + 0*n = -c*n + 46. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 5775*n + 32. Let j(d) = -11548*d - 80. What is 2*j(u) + 5*r(u)?\nAnswer: 5779*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and 98003819.394.\nAnswer: 98003819.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594 is divided by 98?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w + 4 - 2 - w. What is the least common multiple of c(3) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1406.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -4*d - 7*w + 28, -4*w = -2*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**3 - 2*p**2 + 2*p**3 - 7*p**3 + 3 + 3*p**3 - p to r*p**2 + y*p + t + f*p**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = n - 2. Let z be 1 - (1 - -2 - n). Let m be (1 - z)*15\/(-6). Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 130 + -128. Suppose -s + p = 0, 6*z + 5*s - 4326 = 2*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 5*i**2 + 9*i. Let m(y) be the first derivative of -y**3\/3 - y**2\/2 - 1075. Calculate -4*m(k) - q(k).\nAnswer: -k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 123 - 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 27 + (-161 - -50).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22539)\/(-15) + 3 + 2\/5. Suppose g = 6*i - 480. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 164\/16 - (-1)\/(-4). Let n be x\/(-4)*(-3 - -5). Sort 0.2, n, 0.1 in decreasing order.\nAnswer: 0.2, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o + o + 2*o + (3 - 6 - 3)*(-67 + 68 - 71)*(o + 3*o - 2*o).\nAnswer: 844*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/(1 - 173\/175). Suppose 16*g + z = 26*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235 - 110 - 125 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-6) + (-3640)\/(-390).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (398*w**3 + 1442*w**3 + 788*w**3)*(0 - 7 + 3)*(-2*w + 2*w + w) to the form o*w**3 + b*w + c + y*w**2 + v*w**4 and give v.\nAnswer: -10512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, 2, -2, 80 in increasing order.\nAnswer: -6, -2, 2, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 212012 (base 3) to base 13\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrvivvrv. Give prob of sequence ivrv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6576732.\nAnswer: 2, 3, 182687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 2*p = -21 - 14, -4*d + 5*p - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 69863097361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 15*v - 134. What is the remainder when 112 is divided by w(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.58216 rounded to three decimal places?\nAnswer: -0.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 9. Let c be (-1)\/((-2)\/t)*1. Let y(w) = -6*w - 2. Let z(n) = -3*n - 1. Let f(s) = 4*y(s) - 7*z(s). Determine f(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 5:09 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 10 + 1 - 1) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(-2\/39))\/y)\/y**16)**48 assuming y is positive.\nAnswer: y**(-9952\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m**2 + 13*m. Let g(s) = -s**2 - 6*s. Let z = -126 + 139. Determine z*g(q) + 6*r(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 950 - 950.8. Let o(l) = -l**2 - 2*l - 1. Let u be o(-2). Which is the third biggest value?  (a) n  (b) u  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 979*n + 983*n - 3926*n + 987*n + 987*n. Determine t(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8136116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6 = 0, 5*l - 2*t = l - 4. Suppose 2*g + l*g - 36 = 0. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 692*a - 9 + 1645*a - 7 + 16.\nAnswer: 2337*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 8258*k = 8208*k + 311, c = 5*k - 41 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*y - 31 - 799. Let u = 90 - y. Suppose -u*o - 107 + 1619 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-39) + 43\/(-26)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3828191760 a multiple of 3070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*k = 37*k + 3685. What is the remainder when 164 is divided by k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -r**3 - 2*r**2 - 39*r. Let z(g) = -7*g - 5. Give 4*w(l) - 3*z(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from seenensne.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kbnb when four letters picked without replacement from bkbnbnnn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5048  (b) -4  (c) -279  (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -z - 16, 948*t - 947*t = 5*z + 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 402 a factor of 878032722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2155195, 2155193, 2155191, 2155189, 2155187, 2155185?\n\"Answer: -2*s + 2155197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of 7*j**7\/75 - 448*j**6\/75 + 8444*j**5\/75 - 768*j**4\/5 + 432*j**3\/5 - 50*j**2 + 1. Let i(h) = 0. Calculate h.\nAnswer: 2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -7  (b) -3\/5  (c) 3\/5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.005761893*-0.4\nAnswer: -0.0023047572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*v + v**2 - 163174 + 163174.\nAnswer: v**2 + 82*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76301106 + 76301106 + 76301106 + i - 228903318.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 1 = -2*n - 4, 5*n - 5*r = 0. Solve n*t - 15 = -6*a + a, 4*a - 5*t = -15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - q + 1. Let y(n) = -2*n - 4. Let b be y(-4). Let z be 0*-1*2\/b. Let h(t) = t**3 + t**2 + t - 4. Let w be h(z). Give v(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 274?  (a) -0.2  (b) 5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 20101102202 (base 3) to base 5\nAnswer: 13010310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -185\/127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 890449 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 4*l - 2. Let t be a(5). Suppose t*f + 6 = 15. Solve 0 = f*u + 1 + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/(-30)*(-3)\/(-9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + f - 61 = 0, 4 = 3*f + 1. Let o = -2\/1303 + -48203\/5212. Let p = o + 325\/36. What is the third biggest value in p, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -0*b + 5*b - 25, 0 = -2*b - a + 9. What is the common denominator of b*6\/44*24\/54 and 61\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-117)\/(-52) + (-1)\/4. Solve -u = 5*r - a + 21, r + 3 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*k - 3*b, 5*k + b - 17 = 4*b. Suppose -3*m = -32 - 280. Let p = -85 + m. Calculate the remainder when p is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2809, 0, 0.3?\nAnswer: -2809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + 1 + -4 - 6*sqrt(176)*1)**2 + -4.\nAnswer: 78*sqrt(11) + 1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2)**(1\/7))**49*(c*c*(c\/(c\/c**(-1)))\/c)**(-38)*(c**(1\/4)\/c)**(2\/33) assuming c is positive.\nAnswer: c**(307\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 986879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-14 + 14 - -3) + -18.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -228 + 723. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of -b**4\/12 + b**3\/6 + 4*b**2. What are the prime factors of g(-10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -137*d**2 - 12*d. Let h(j) = -14*j**2. Give z(h(k)).\nAnswer: -26852*k**4 + 168*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -5*f**2 + f + 2. Suppose -5*k - 2 = -17. Let o(s) = 6*s**2 - 3. Let n(g) = k*i(g) + 2*o(g). Suppose n(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/1)\/(21\/(-18)*404\/707).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5117446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -18, 3, -5 in descending order.\nAnswer: 3, 2, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 0.42 in decreasing order.\nAnswer: 4, 3, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -13 - 9)*(-3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -897 - 611 = -29*i. Calculate the highest common factor of i and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 12*g**2. Let q(k) = 4*k - 2. Let u(m) = -1. Let h(j) = 9*j - 9. Let x(b) = -h(b) + 4*u(b). Let i(p) = 5*q(p) + 2*x(p). Calculate n(i(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**2 - 6*q - 5. Let t be (-2)\/(-5) - 8\/(-5). Suppose -4 = -t*p + 8. Is d(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 201300 + -24244?\nAnswer: 122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -16636?\nAnswer: -1\/8318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12653379 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 127*f**4\/2 - 5*f**3\/3 - 4805*f**2\/2 + 9381. What is the second derivative of t(o) wrt o?\nAnswer: 1524*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 933 - 929. Let u be (-3 - 20\/(-1)) + -3. Suppose -u*p + s*p = -1360. Does 34 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 6*v**2 - v + 2. Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p**2 + 60*p + 71. List the prime factors of l(30).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/19  (b) 5  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*f = 21*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4638.62661 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4750027 micrometers in nanometers?\nAnswer: 475.0027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/3850 and -61\/40.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2590 = 5*d, -2*d - f + 5*f + 1036 = 0. What are the prime factors of d?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -5. Let y(i) = -i**3 + 10*i**2 - i + 12. Let v be y(10). Let j be v + (-1)\/3 + -1. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -3*x + 2*x. Let l = -547\/6 + x. What is the second biggest value in -0.5, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiffiii. Give prob of picking 1 i and 1 f.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29 - -42. Suppose 0 = 4*o - 2*o - 10. Let a be (-24)\/(-10) + (-6)\/(-10). Solve a*p = -2*z + s, p + 24 = o*z - 0*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1540 > 1540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, s: 2, j: 4, d: 1, r: 1}. What is prob of sequence jd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 172. Suppose t + 451 = -11*w. Let p = -35 - w. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -222 + 218. Sort -21, i, 1, -3 in descending order.\nAnswer: 1, -3, i, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1597, 3, -204, -3 in descending order.\nAnswer: 3, -3, -204, -1597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*q = -12, 0*a + 5*a - q - 4 = 0. Suppose -12 = -5*z - a*y - 2*y, 5*y = -4*z - 4. What is the greatest common divisor of 100 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3\/5 - 341*i**2\/5 + 5712*i\/5 - 1323.\nAnswer: (i - 63)*(i - 21)*(4*i - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-75)\/15 + 1\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/32637 and 81\/92.\nAnswer: 130548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 111011000 (base 2) in base 6?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1*sqrt(5) + sqrt(5) - (sqrt(5) + (sqrt(5) - 3*3*sqrt(5)) + sqrt(5))**2.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4))**(-44)\/(x**(-4))**(-4) assuming x is positive.\nAnswer: x**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 29 = 3*r - 58, h = -r + 23. Calculate the remainder when r is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**4\/12 + 4*h**3\/3 - 3*h**2 - 144*h. Calculate g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6079145 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 8561.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(1\/13))\/l*l)\/l**(-1\/6) assuming l is positive.\nAnswer: l**(85\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 15 - 898*z**2.\nAnswer: -898*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 572 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -109.2666 - -76.\nAnswer: -33.2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 235746, -28, -7 in decreasing order.\nAnswer: 235746, 0, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 1:10 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -5) + 10 + -10 + -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -3*i**4\/4 - 4*i**3 - 3*i**2\/2 + 1. Let u(n) = -3*n**3 - 11*n**2 - 2*n + 1. Let j(l) = 5*b(l) - 6*u(l). Factor j(f).\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/2 - 156*t.\nAnswer: -3*t*(t + 104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -13*k**3 - 14*k**2 - 5*k + 7. Let h(y) = -13*y**3 - 12*y**2 - 5*y + 6. What is 7*h(j) - 6*q(j)?\nAnswer: -13*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 159763020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-491)\/(-5) + 1 - (-40)\/50. Calculate the greatest common factor of 60 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*l**5 - 74*l**4 + 187*l**2*z**2 + l*z**2 + 207*l + 3*z**2 wrt l?\nAnswer: -40*l**3 - 888*l**2 + 374*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147*a - 59*a + 19 - 55*a + 266*a.\nAnswer: 5*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ruurrrrrrrrrurururrr. What is prob of picking 3 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**5 + m**4 + m**2 - m - 1. Let n(y) = 2*y**5 - y**4 + 33*y**2 + 5*y + 5. Let v(t) = n(t) + 5*z(t). Find the third derivative of v(h) wrt h.\nAnswer: -180*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/7  (b) -26  (c) -32  (d) 0.4  (e) -6  (f) -1  (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 5*o**2 - 5*o - 5. Suppose -25*n - 4*x = -18*n - 96, -2*n + 4*x + 48 = 0. What is the remainder when h(7) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - v = 11, -3*s - 4 - 5 = -v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + k)*(-3477*k**2 + 74*k**3 + 3477*k**2)*(-2 - 1 + 2).\nAnswer: -74*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.9 + -4. Let f = 5 - 14. Let g = 5 + f. Which is the second biggest value?  (a) -2  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0 + 2*c)*((3*c + 0*c - c)*(1 - 1 + 2) - 1 + 1 + 4*c).\nAnswer: 16*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8276*w - 7638 + 3248 - 5594 = 8148*w for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of s**2\/2 + 79*s - 1. What is the remainder when p(0) is divided by -3 - (8\/4 + -44 - 1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 2*i**3\/3 + 3*i. Let g(d) = 3*d. Calculate -7*g(q) + 6*h(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180315 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a - 1. Let v(o) = -6*o + 13. Let j(m) = -3*d(m) + v(m). Let z be j(5). Let f be (4 + z)\/(-5)*-5. Solve -c + 1 = -h, -5*h + 4*c - 17 = f*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**3 - 4592*j + 4*j**3 + 1042*j - 1.\nAnswer: 2*j**3 - 3550*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k + 10. Let l be c(-11). What is the common denominator of 31\/3 and 1 + l\/((-9)\/(-147))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.4303 - -0.1103. Let o = 174.91 - 173. Let j = y + o. Round j to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 at most as big as 125759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*a**2 - 26*a**2 - 32*a**2 - 9*a**2.\nAnswer: -101*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299)*-3 - (-2*sqrt(95))\/sqrt(5)) + 4)**2.\nAnswer: -248*sqrt(19) + 18275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -31931998 + 0 + -10 + 40\/5. What is j rounded to the nearest 100000?\nAnswer: -31900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 197 + 207. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -19*t**2 - 2*t + 1. Let u be v(1). Let h = 37 + u. Let f = 41 - h. Calculate the greatest common divisor of f and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 3. Suppose -3*v - 15 = -4*x, -x + 0 = -5*v + 9. What is the greatest common factor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 18*w**2 + 14*w - 358. What is the tens digit of k(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458*l + 82 - 12906 = 0 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81*z - 422*z + 3 - 49*z.\nAnswer: -390*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of 13*y**3\/6 - 51*y**2\/2 - 58*y. List the prime factors of v(20).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1055727, 4222907, 9501541, 16891629, 26393171, 38006167, 51730617?\n\"Answer: 1055727*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.9 + 0.1. Let p = -3.8 - -4. Let x = -1.2 + p. What is the nearest to 4 in 1\/5, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-20))\/(9\/(17\/357*21)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*r = -38*r - 102 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**3\/3 + 9*b**2\/2 + 11*b + 7. What is the tens digit of w(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1475949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4\/3 - 284*p**3\/3 + 1632*p**2 + 1728*p.\nAnswer: 4*p*(p - 36)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -5151*p**4 - 2 + 2*p + 5146*p**4 - 6*p**3 + 13*p**3 in the form h + g*p**2 + r*p + y*p**4 + q*p**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4728567, 9457088, 14185609, 18914130, 23642651, 28371172?\n\"Answer: 4728521*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 + -28. Suppose d*g + 476 - 2568 = 0. Is g a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -6\/5, -2\/37 in ascending order.\nAnswer: -6\/5, -2\/37, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2241474 = -98*t - 1122445 + 3062631. What are the prime factors of t?\nAnswer: 2, 5, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 4*p - 4*b, 3*p - 4*b + 5*b + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -226 - 314?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 23\/30 - (-6)\/(-27)*3. Let d(y) be the second derivative of 0 - j*y**6 + 0*y**2 - 1\/42*y**7 + 1\/4*y**4 + 1\/3*y**3 - 1\/20*y**5 - 5*y. Factor d(z).\nAnswer: -z*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11892 + 11890. Which is the closest to 2\/3?  (a) -0.09  (b) 15  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1058\/138*(-8 - -5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2*-1)\/(55\/(-45) + 1). Let v(b) = -b**3 + 10*b**2 - 5*b - 14. Calculate the lowest common multiple of 3 and v(k).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*t + 3*t + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 2.4  (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 841*c + 34. Is 39 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 + 3*u**2 - 3*u. Let p be b(2). Let o(c) = -2*c**2 - c. Let v be o(p). Is 38 - v*(-3)\/6 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t**4*v**2 + 1381*t**4 + 11*t**2 - 48*t*v**2 - 368*t*v wrt t?\nAnswer: 36*t**2*v**2 + 16572*t**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 57, -2, 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -n + 4*n + 3*r - 11, 108*r - 1898 + 700 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-20223)\/(-54))\/(((-52)\/(-13) - -17)\/(36\/6))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + -333?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 5066969.78\nAnswer: -5066974.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 0.5  (b) 1\/89  (c) 2  (d) -67  (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z - 2*z + z**3 + (-4*z + 3*z - 2*z)*(5*z - 5*z - 2*z**2) + 2*z**3 + 0*z**2 + 0*z**2 + z + z**3 - z in the form u*z + t + y*z**2 + b*z**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1841145 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/9 and 79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2)*j*j**(-10))\/(j**(-2\/9)\/j**(-4\/9)) assuming j is positive.\nAnswer: j**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -5*r + 28, -5*r = -n - 12 - 4. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -46, 3.\nAnswer: -46, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 24832340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**2\/17 + 16064*d\/17 - 64288\/17 = 0.\nAnswer: -8036, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 + 21*z - 8. Let m be k(-11). Let g be (1 + -1)*(-1)\/m. Suppose 0 = -2*c - 6, -c - 9 = -5*v - 3*c. Solve 0 = -g*w + 3*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.173432 - 0.173432. Let v be (4\/(-10))\/((-3)\/5). Which is the second biggest value?  (a) v  (b) s  (c) 5\/2  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*q - 327 = 72*q - 188*q + 65 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*s - 1 = 0, -3*m + 2*s - 6 = -2*s. Suppose -3*q - 10 - m = 0. Which is the nearest to 1?  (a) -3  (b) -2\/3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 6*d - 20*d + 132 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -599*p + 645*p + 368 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 125 - 76. Let b = -46 + w. Suppose t - 1 = 0, b*t - 286 = -d + 834. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -0.1. Let c = 902 + -6306\/7. Let a be 2\/(-8) + (-2)\/(-72). Put a, c, x in descending order.\nAnswer: c, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5409954, 10819905, 16229856, 21639807, 27049758?\nAnswer: 32459709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**3 + 11*p**2 + 7*p + 9. Let d be r(6). Let n(z) = -2*z + 26. Let a be n(d). Let v(f) = -f**3 - 3*f**2 + 5*f + 4. What is v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 11:41 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 3, -0.5, 1\/102, -10, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.029086687 and -2?\nAnswer: -0.058173374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83 and 94869.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 420 and 324.63.\nAnswer: 136344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2376 + 4164. List the prime factors of u.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (-34 + 4 - -121 - -30)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 8 = -2*m, 85*m - 3*p = 80*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-29 - -25)*(-1)\/1. Let s(p) be the third derivative of 0*p + 0*p**x - 1\/30*p**5 + 0 - 3*p**2 + 0*p**3. Let h(o) = -2*o**2. What is s(h(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24105064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.66 + -3.2. Let t = 0.54 + l. Which is the smallest value?  (a) -0.04  (b) 0.2  (c) t  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.167164 rounded to four decimal places?\nAnswer: 0.1672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*y - y + 4*d, 0 = 4*y + 4*d + 12. Suppose -w = -13 + y. Solve 0*u = 3*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(2) + 5 - sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(242)*3)).\nAnswer: 5 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112100120022210 - -11?\nAnswer: -112100120022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1833\/3055)\/(4\/10)*(-32)\/27.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4761 divide 1042003655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 9:05 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - 3*c**2 - 6*c**2 - 3*c**2 + 7*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2789 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 + 4 - -12) + -3. Solve u*b = 15*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1540 = -1523*x + 1513*x. What is the lowest common multiple of 550 and x?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-0.0544\nAnswer: -0.01632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7396 is divided by 398.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -8, -4, -3, -38 in ascending order.\nAnswer: -38, -8, -4, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.006509710575 rounded to 7 dps?\nAnswer: 0.0065097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -611 - 0?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 8*k**3 - 210 + 0*k - 1\/2*k**4 - 20*k**2. Solve h(v) = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/297540 and -13\/110200.\nAnswer: 2975400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 41*s + 1. Let x = 4 + -3. Is 11 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4852191659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + 11 - s + 13 - 35 to o*s + u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 4*o**2 - 7*o + 7. Let y be 2\/(-7) - (-354)\/14. Suppose -y = -6*l + l. Give u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - i - 1. Let z(d) = 2*d**3 + d**2 - 2*d + 12. Calculate -2*o(y) + z(y).\nAnswer: 2*y**3 - y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -16, -12, 4 in increasing order.\nAnswer: -16, -12, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 9) + (32 - 23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/491 and 97\/14288?\nAnswer: 7015408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1842 is divided by 853.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29536 + -19141. Calculate the greatest common factor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 86 - 54. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207452 and 5736.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/9, 5, 2\/3, -5, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 0.3, -1, -9\/7 in descending order.\nAnswer: 3\/2, 0.3, -1, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 322\/((-161)\/(-7))*-3*(-2)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from mmfkkfofmkmrkkmrko.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2.1 times -1\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -2\/81  (c) -2  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/340*40\/(-16)*-4. Factor 4\/17*z - 4\/17*z**3 + 2\/17 - s*z**4 + 0*z**2.\nAnswer: -2*(z - 1)*(z + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -640*f**2 - 2524*f + 19. Calculate v(-5).\nAnswer: -3361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 802263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2. Let k(o) = -10*o - 2 + 6*o + 6*o. What is r(k(v))?\nAnswer: 4*v**2 - 8*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -45, 5, 7\/1598?\nAnswer: 7\/1598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 4  (c) -0.05  (d) -1\/4  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 3120*o - 27997. Calculate s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c - 499 = 29*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142256417.\nAnswer: 97, 499, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12247141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = p + 12*j - 32, -4*p - 4*j = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -5726.65382 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 1:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66237*t + 66103*t + 4020 = 0 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -4  (b) 1  (c) 4\/5  (d) -308\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 24 = -4*h, 14 = -2*h - 4*w + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3\/7)*k**(-7))**(-8) assuming k is positive.\nAnswer: k**(416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r - 20*r + 1689 = 2*m, 0 = 3*r - 4*m - 1689. Let x = r - -805. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 66.71 + -67. Suppose 40 = 14*i - 6*i. Suppose i*u = 4*m - 32, -5*u - 16 = -u. Sort 1, m, q.\nAnswer: q, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -28860 and -28831 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6899906 millennia in centuries?\nAnswer: 6.899906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 243218543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 510 + -505. Let w(s) = -6*s**3 - 3*s**2 + 5*s - 5. Let m(p) = 3*p**3 + p**2 - 2*p + 2. Give u*m(v) + 2*w(v).\nAnswer: 3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 divided by 2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60 - -53 - (-8 + -1 - -16)) + (-302)\/(-2).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -33*j**2 + 2. Let v(h) = 108*h + 21. Let k(b) = -6137*b - 1190. Let l(t) = -3*k(t) - 170*v(t). What is n(l(u))?\nAnswer: -85833*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/3))**27*(k**1*k)**(6\/5))**(-2\/27) assuming k is positive.\nAnswer: k**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 120062479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - p = 270 - 282, -3 = p. Let z(b) = 5*b**2 + 8*b - 2. Let h(s) = 4*s**2 + 7*s - 2. Give n*z(y) - 6*h(y).\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -106*i**5 + 2*i**4 + 20*i**3 - 8*i + 704?\nAnswer: -2120*i**3 + 24*i**2 + 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {b: 1, v: 1, f: 2, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 54 and -105.\nAnswer: -5670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 72 - -19?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 14 = 18, -701 = 3*c + g. Let s = 11 - c. Calculate the remainder when s is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -346*v**2 + 22 + 170*v**2 - 652*v + 177*v**2.\nAnswer: v**2 - 652*v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*s + 8*s - s)*(-1 - 1 + 4) - 4 + 4 - s to z + f*s and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 27  (b) 3  (c) 75  (d) -5\/3  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**3 + 56*k**2 + 62*k - 71. Let r be b(29). Solve 0 = 2*z + r - 49 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s**4 + 9*s**2 + 0*s**2 + 4 - 40 - s**2 + 48*s - 16*s**3 = 0 for s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrvgjrrvvrrg. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.4, 0.5, -4, 2, 0.74?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**2. Let v(f) = -2766999*f. What is t(v(l))?\nAnswer: 15312566932002*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 21398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26*u**3 - 6*u - 921 + 49*u**3 + 0*u**3 with respect to u.\nAnswer: 69*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and (-4)\/(-30) + (7 - 18242\/(-210)).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 181 - 11 = 2*k, i - 55 = -k. Suppose 0 = 2*n + n - 2*w - i, -2*w = -n + 24. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37062178.\nAnswer: 2, 4261, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 9*u + 27. Let b be i(11). Suppose -1028 = 8*h - 11*h - b*r, 3*h + 2*r - 1034 = 0. List the prime factors of h.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f + 94*f**2 + 54 - 84 - 75*f**2. What is the hundreds digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from funhptt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11029757*c*h - 125544*h - 8 wrt c.\nAnswer: 11029757*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/11 and ((-2)\/76)\/(28980\/5628*2\/12).\nAnswer: 24035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 4:32 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66*(-110)\/(-956505))\/((-12)\/(-34))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -18*z + 73. What is n(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -2*u + 2, -213*u - 222*u + 433*u = -5*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*n + 7*n - 5*n)*(-6 + 2 + 2) + 2 + n - 2.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25305482765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**2 - 337803*n - 162155286 = 0. What is n?\nAnswer: -478, 113079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8811217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1737*w**2 - 1013*w**2 - 292*w**2 + 664*w**2 in the form v + k*w**2 + x*w and give k.\nAnswer: -2378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*s = -23*s - 1572 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*(j\/((j*j**(-2\/5))\/j*j))\/j)\/j*j)**(6\/5))**(2\/121)\/(j\/(j**(-1)\/j)*j*j*j\/j**(1\/8)*(j*j\/(j**(-2)\/j)*j)\/j**3) assuming j is positive.\nAnswer: j**(-214583\/24200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 70 = -6*p. Let t = p + -17. Let g be 1 - (t + 6 + -2). Solve g = y - 1 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 6*y**2 - 4*y + 2. Is 26 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/91 - 180\/14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - -10 - 0) + -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 11*l**3\/6 - 4*l**2 + 12*l. Find the first derivative of y(m) wrt m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 - (5 + -24) - -18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of 4837*f**5\/10 - f**4\/12 - 850*f**3\/3 - 9142*f. Find the third derivative of m(c) wrt c.\nAnswer: 58044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23331583 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1064224 (base 8) to base 11.\nAnswer: 188081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*(-22)\/1936 - ((-9)\/(-3))\/(-60).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-16)\/(-12))\/(56\/(-126))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 5*w + 65. Let q be (-120)\/104 + 2\/w. Let k(b) = -5*b - b - 3*b. Calculate k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**2\/2 - t = 0 for t.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**3 - 8*b**2 + 23*b - 17. Let v(s) = -s**3 - 3*s**2 + 8*s - 6. Let y(m) = -4*q(m) + 11*v(m). What is the remainder when 30 is divided by y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 + (0 - -1) + 120 + -60 + -64 + -4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46078.\nAnswer: 2, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 576224850 to the nearest integer?\nAnswer: 24005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*-1 - sqrt(2057)) + 5.\nAnswer: -22*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5 - 9 - i - 1. Let h(n) = n - 6 - 2*n + 0*n. Let m(t) = t**2 + 2. Let a be m(-2). Calculate a*f(d) - 5*h(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 46c?\nAnswer: -46c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 546197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h + 2. Let j(r) = -r**2 - 8*r - 6. Let c be j(-6). Let g be y(c). Suppose 4*s + 3*f = 26, 0 = 2*s + 5*f - g. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 118.52 and 0.4116869.\nAnswer: 118.9316869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-275*p**2 - 363*p + 363*p + (-p + 6*p - 2*p)*(-2*p + p + 0*p))*(2*p**2 - p**2 - 3*p**2).\nAnswer: 556*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(64) - 1*(sqrt(64) + (sqrt(64)*-1 + sqrt(64) - sqrt(64))))*5)\/(5*(sqrt(88)\/sqrt(4))\/sqrt(11)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*b**4*v - 109639*b**4 - 28*b**2 - 3800*b - 52*v wrt b.\nAnswer: 384*b*v - 2631336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 249.2485 or -2?\nAnswer: 249.2485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 544 is divided by 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**3 + 7*q**2 + 4*q + 5. Let j be d(-4). Let w = 16 + -15.8. Which is the second biggest value?  (a) 3  (b) w  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1550 or -1212255\/782?\nAnswer: -1212255\/782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 228\/(-6)*(-17)\/(-85)*77\/88*20?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1628847 greater than or equal to -4\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 9 - -17 - (-1219)\/(-299)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -5*k**2 - 30*k - 28*k - 1 + 9*k**2 - 2 + 59*k. Give j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 90 - 14. Let v = a + -12. Suppose s = v*s - 42. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -59 - -63. Let z = 1019\/3 - 340. Which is the nearest to 0?  (a) 0.2  (b) t  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 164043 and -0.3?\nAnswer: -49212.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.32702 bigger than -1584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**3 - 7*r - 3*r**3 + 10*r + 3*r**2 + 2 - 4*r**3. Is 24 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u**2 - 3*u - 2. Let s(p) = -25*p**2 + 13*p + 9. Let y(w) = 9*a(w) + 2*s(w). What is the second derivative of y(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.159*-0.2.\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l - 20. Calculate s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-66) - (-111776)\/(-14784))*(-2)\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 + -12. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 1:52 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 177426498 divided by 1?\nAnswer: 177426498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8112 is divided by 8105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14110 divided by -225.\nAnswer: -2822\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -24\/4273 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0264 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 1959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -300111012203 (base 4) in base 9?\nAnswer: -25750062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-15)\/(-9) - 2\/(-6). Let b = -27 - -27. Factor 0*l - 2\/5*l**5 + b + 0*l**d + 0*l**4 + 2\/5*l**3.\nAnswer: -2*l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.7 - 97.3. Let k = 104.07 + i. Let r = -0.22 - k. What is r rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 4*q**2 + q - 4. Let h be i(3). Let d be 576\/22 - h\/44. Let o be 1738\/143 - 4\/d. Solve -2*u = u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2 - 9*t - 295. Let g be n(16). Calculate the greatest common divisor of 188 and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23 - 22) + 46 + 19.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3757 (base 13) to base 9.\nAnswer: 11677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18 - 18) + (8 - -1). What is the greatest common factor of z and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 480554\/690921 + -12*(-6)\/(-99)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-0.272.\nAnswer: 0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13.12433 - -2.87591. Let h = -14.7 + -1.3. Let q = h + g. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47377339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**3 - 65*a**2 - 198*a + 5130. Calculate c(21).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55.873 + 0.127. Let j = g + -56.00000098. Round j to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14927499871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/2*((-431200)\/(-300))\/(-154)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence momm when four letters picked without replacement from {w: 2, m: 5, o: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 5*g - 8. Let i be ((-10)\/(-15))\/(g\/18). Sort 2, 1, i.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 - q - 1. Let x be r(0). Let y be (-42)\/9 + 1\/(-3). Let l be (-1 + y)*(-3)\/18. Put -4, x, l in descending order.\nAnswer: l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*m + 9 = 90*m - d - 38, 0 = d + 2 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 = -3*a + a - 3*v, -4*v - 445 = -5*a. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5633, -2, -47 in descending order.\nAnswer: -2, -3, -47, -5633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -54, -37, 8, 75, 158, 251?\n\"Answer: -n**3 + 20*n**2 - 36*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80.5 - 80. Which is smaller: t or -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44 times 92309\nAnswer: -4061596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 - 3*q**3 + 0*q**2 + (3*q + 4*q**2 - 3*q)*(46*q + 101*q - 28*q).\nAnswer: 473*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3128 - -3053.52. Let j = s - -14.5. Let x = 60 + j. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 1, m: 1, l: 1, d: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33645.\nAnswer: 3, 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3726 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-380 + 321 - 33*l + 9*l)*(-2 + 5 + 0) to d + c*l and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -29*p**2 + 293*p - 62. What is g(14)?\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -47*h**2 - 4 + 13*h + 31 - 12. Let d(w) = -23*w**2 + 6*w + 7. What is -13*d(s) + 6*v(s)?\nAnswer: 17*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 866 = -2*y + 3129, -5*y = 4*f - 5638. Let s = y - 495. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13817813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*m + 102*m + 432 = -65*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -557777*l**4 + l**3 + 6*l**2 - 498*l + 68 wrt l?\nAnswer: -13386648*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/108 and -103\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 31919*y + 39733 wrt y?\nAnswer: 31919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q, 3*w + 2*w + q + 12 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 7) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 + 43. What is the greatest common factor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16, 19, 34, 67, 124, 211?\n\"Answer: b**3 - 4*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -u + 91, -t - 9*u = -5*u - 34. Suppose 202 = 5*c + 2*v, 0 = -c + v + 16 + t. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*r - 2759 - 145 + 265 = 0 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14\/19?  (a) 2\/5  (b) 0.349  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = 6*a + 4515. Let m = a + 304. Factor 0 - 1\/5*o**m + 3\/5*o + 2\/5*o**2.\nAnswer: -o*(o - 3)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2 + (sqrt(1377) + sqrt(1377) + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*2 - sqrt(1377)))**2 - sqrt(1377)).\nAnswer: 9*sqrt(17) + 12400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 3*v. Let m be ((-3)\/2)\/(1 + 8). Let f = -3 - -2.5. Put v, m, f in descending order.\nAnswer: v, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/20 - (-20)\/(-80)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/225 and (3\/(-54))\/(4\/(-123)*3).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -146*j**7\/7 - 66*j**3 - 136. What is the third derivative of r(q) wrt q?\nAnswer: -17520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2084032 and -340113.\nAnswer: 1743919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xeex when four letters picked without replacement from pexxexxeupexzu?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 at least as big as 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1744364 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s**3 + 2*s**3 + s**3 + (-5*s + 2*s + 4*s)*(-4 + 4 - 3*s**2) + (-1 - 4 + 3)*(-12*s**3 + 9*s**3 + 9*s**3) to r + x*s + f*s**2 + c*s**3 and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 446*-36.\nAnswer: -16056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 1 = 5*c, 4*c - 16 = -c + 2*x. Suppose f + 15 = 5*s, -2*s = c*f + 11 - 5. Let o(g) = -3*g + s*g - g. Let y(t) = 2*t. Calculate y(o(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41.4 + -42.4. Let h = 8.86 - -0.14. Let l = -1335\/26 + 103\/2. What is the fourth biggest value in h, l, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 59966*a**2*n**2*t - 2*a*n**2 + n**2*t + 303*n*t wrt a?\nAnswer: 119932*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-2)\/(-4))\/1)\/(2\/(-4)). Let j(g) be the first derivative of 5*g**3\/3 - 2. What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332425*v**2 - 11426*v**2 + 9*v - 9*v.\nAnswer: -343851*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2519478 = 2519494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55*i**2 + 1898*i**3 - 47*i**2 - 1894*i**3 + (3*i - 3*i + 3*i)*(-3*i + 5*i + i)*(2*i + 2 - 2) to p + r*i**3 + f*i + b*i**2 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from joehxjoxioj. Give prob of sequence jhx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 4*c - 2*c + 3115*c**2 - 3113*c**2. Let m(l) = -8*l**2. What is j(m(f))?\nAnswer: 128*f**4 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2175.855 + -0.04516?\nAnswer: 2175.80984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m**4 + 24508*m**3\/5 + 783801*m**2\/5 - 492740*m + 208292\/5 = 0. Calculate m.\nAnswer: -173, -43, 2\/23, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14259013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14047 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/1 + (17 - 11). Calculate the greatest common divisor of w and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011000011011110 (base 2) to base 13.\nAnswer: -296a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 7*w**2. Let c(r) be the third derivative of 0*r**4 + 0*r**3 + 0*r - 13\/60*r**5 + 0 - 7*r**2. Determine o(c(a)).\nAnswer: 1183*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -131, -515, -1139, -1991, -3059, -4331, -5795, -7439?\n\"Answer: 2*l**3 - 132*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t - 2*t + t + 3*t - 5*t + t + 3*t + 0*t - 2*t + 2 - 2 - t - 3 - t + 3 + (3*t + t - 2*t)*(-7 + 2 + 3) + 0*t + 6*t - 4*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -8 + 14. Calculate the remainder when 20 is divided by o\/(-16) - ((-318)\/48 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 10:28 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 337 + -4?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*t - 64*t - 33*o = -30*t - 132, 0 = 6*t - 5*o + 92 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2959, -2957, -2955, -2953?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 * -7.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 152\/(380\/20)*20\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10620 = 3*g - 12306. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in 3, 0.2, -25900?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {k: 2, z: 9, c: 8}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + z + 1. Let b be (-1 + -1)\/((-4)\/10). Let l be i(b). Suppose -77 = -3*a + l. What is the highest common factor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(1539) + -2*(sqrt(1539) + -2))**2 + (4 + sqrt(1539)*-1)**2)*-3*3.\nAnswer: -27990 + 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2342832 by -146427.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 5:43 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -17. Let c = 0.106 - -0.294. Let y = 0 - 0.1. What is the closest to c in 0.3, i, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69389 = 69390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5400 - -5401. Suppose -6 = -w - 1. Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -109755*k**4 - 86895*k**3 + 222550*k**2 - 81220*k + 8280 = 0.\nAnswer: -2, 2\/9, 207\/271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 1. Let u(w) = -5*w**2 - 3*w + 2. Let h(p) = -4*k(p) - u(p). Let i be h(-6). Solve -2*n = 2*n - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-15)*1)\/((-407)\/(-66) + -6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4678, 4519, 4330, 4105, 3838?\n\"Answer: -v**3 - 9*v**2 - 125*v + 4813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/383667 and 35\/27189.\nAnswer: 3453003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f + 4*v + 8, -v - 4 = -76795*f + 76798*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 220841197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*g + 26*g - 142 - 82 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4124 + 13656 = 7*v. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**2 + 100*d + 3124. Calculate q(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2) + -2 + 0))**2.\nAnswer: -36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 60350495 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l. Let i(c) = -28312*c**2. What is o(i(m))?\nAnswer: 84936*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 62723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/41)\/s)\/((s**(-4\/25)*s)\/s*s))\/((s**(-26)*s*s*s)\/(s\/(s*s*s\/s**23))) assuming s is positive.\nAnswer: s**(44189\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-3\/10)*(s**(6\/13)\/s)\/s)**(25\/2)\/((s**(-1))**(-1\/14)\/(s**1)**(-36)) assuming s is positive.\nAnswer: s**(-16945\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*t - 198 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -5\/2, 5, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 504663 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -r + 3, -r + 2*r + 7 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19930*t**3 + 5680*t**2 - 2*t + 2 wrt t.\nAnswer: -119580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 - 366*k + 368.\nAnswer: -2*(k - 1)*(k + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4122 divided by 458\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 15  (b) 461  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -16*i - 25. What are the prime factors of j(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12625366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -27, 1\/5, -4, -2\/435?\nAnswer: -2\/435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-9)*((-320)\/16)\/20*-6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 52744 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2132)\/(-1599) + (1 - 158\/78)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27.5 + 26.996. What is g rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7873 - -7875. Solve q + 4 = 4*o + 2*q, 0 = i*o - q - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11\/(-2) - 3\/(-6). Let q(g) = g**2 - 5*g + 13. Let n be q(4). Let j = n + y. Put 5, -3, j in decreasing order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -15*o**3 - 7*o**2 - 2*o + 3. Let n(q) = -46*q**3 - 23*q**2 - 7*q + 10. Give 7*i(s) - 2*n(s).\nAnswer: -13*s**3 - 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 9*u**2 + 10*u + 8. Is 5 a factor of f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 86, -5, 6, 2 in decreasing order.\nAnswer: 86, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.06032 litres to millilitres.\nAnswer: 81060.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 62. Let y = 40 - x. Let c be 1 + y\/((-3)\/(-3)). Calculate the highest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3*sqrt(891) + -2*(sqrt(891) + -3))**2.\nAnswer: -90*sqrt(11) + 22276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 354045372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 8:15 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1104 by 92.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8954\/(-330) - -27) + (-158)\/(-60)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -4*u + 1. Let l(r) = 23*r + 14. Give l(j) + z(j).\nAnswer: 19*j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/(-18) - 2\/9. Let y be -1 + m\/(-4)*-4. Let f = 14 + y. Solve 0 = 4*g - 5*d + 21, 5*g - f = 5*d - 34 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 57 = -17*k. Let q be (0 + (-12)\/k)\/(-14 + -4). Solve 2\/3*p**2 - 4\/9*p + 0 - q*p**3 = 0 for p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5812 or -5826?\nAnswer: -5812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 684099\/6 + 84\/(-14) + (-39)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 283171980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 547729.7ml in litres?\nAnswer: 547.7297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(196\/126) + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 - 2)*(-164*j - 166*j + 355*j) in the form t + y*j and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13*(-23)\/(-598))\/(2\/152).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44 + 75. Suppose 5*b + 2*v - l = 0, 2*v - v = 5*b - 22. Suppose 0 = -b*k + 2*k. Solve k*g + 2*g - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 135574, 273245, 410916?\nAnswer: 548587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 992 and 156581.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6004?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19444 or -19451?\nAnswer: -19444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {v: 2, p: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1134 divided by 126.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176 is divided by 98.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 194\/45 - (-15 - (-2187)\/135). What is s in 2\/9*s**4 + 4\/3*s**3 - 2\/3 - 2\/9*s**5 - h*s**2 + 22\/9*s = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 12*r**2 - 3*r + 35. Calculate v(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54279636137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 847536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 127038 and 127038 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -59, 4, 0 in descending order.\nAnswer: 4, 0, -1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75.73745 + 0.13255. Let l = 0.93 + a. Let v = 87 - l. Round v to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 3:17 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, h: 4, q: 2, r: 1}. Give prob of picking 2 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 464598370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + -2*(-3)\/(-6). Suppose -5*t + 4*r - 10 = 22, -2*r = t - 2. Let s = 17 + t. Solve y = 2*u - s, -2*u + l*y + 7 = y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, t: 2}. Give prob of sequence tt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14328\/(-54))\/((-2)\/(-3)). Let y = b - -635. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*a. Let o be ((-6)\/3 - -17)*6\/(-15). Sort 5, o, a in descending order.\nAnswer: 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-16)\/(g**(-12)\/g) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 818 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + 35*z + 215. Suppose 6*n - 2*o = -54, 4*o = 24*n - 22*n + 28. Determine a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8939, 35855, 80805, 143795, 224831, 323919?\n\"Answer: x**3 + 9011*x**2 - 124*x + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 8, m: 2}. What is prob of picking 3 s and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**7\/504 - o**5\/30 + o**4\/6 - 3*o**2. Let q(g) be the second derivative of d(g). What is the derivative of q(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7145 + 7990. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 17*c**5\/60 - 3*c**2 + 4*c. Let s(o) = 3*o**2. Determine g(s(r)).\nAnswer: 153*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.04145 + 0.1289. Round k to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 72 = -3*r. What is the least common multiple of 9 and r?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 m when three letters picked without replacement from {k: 1, f: 1, m: 4, g: 1, a: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(-4*b - 2*b + 5*b) + 0*b + 2*b - b + 22372 + 114*b - 22372 + (-3*b + b + b)*(4 - 7 + 2).\nAnswer: 114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -j**6\/300 + j**5\/150 + 4*j**4\/15 + 4*j**3\/3 - 3*j**2 - 27*j. Factor s(q).\nAnswer: -2*(q - 5)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 plus 4.446?\nAnswer: 3.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 941 is divided by 316?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (151 + -130 + -5 + (-14 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 1850458.91.\nAnswer: 1850459.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 2*l = -19, 7 - 52 = -4*j + 14*l + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 7:52 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**3 - p**3 - 3*p**3 + 4*p**3 + p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9\/520 - -7\/65. Let d = -29\/40 + b. Which is greater: -1\/35 or d?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -1. Suppose 2*l - 4*h = n, l + 2 = -2*h - 2. Let u(j) = -5*j**3 - 2*j**2 - 2*j - 2. What is the remainder when u(l) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 58*t - 24 = -61*t, -15*t = 3*g - 36 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -4*b - w - 237, -3*b = -4*w + 159. Calculate the remainder when ((-5)\/15)\/(1\/b) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 79109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (13 - (10 + 3) - 0) - 6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1011120200222 + -1111?\nAnswer: 1011120122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.85 - -0.098?\nAnswer: -2.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*v - 49*v + 5590 = -89*v. Calculate the highest common divisor of v and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -535.7 + 536. What is the closest to l in -4, -0.4, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -21. Let l be 5 + g - (1 + 0). Determine k, given that -28 + 0*k**l + 28 - 3*k**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 72 + 454. Suppose 0 = -2*q + 4*g + 126, -2*q - j = -7*q - 3*g. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0, -148, -3\/10378?\nAnswer: -3\/10378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g + 1. Let t(x) = -x**2 + 1. Let d(c) = 5*f(c) + t(c). Let k be d(6). Let y = -218 + 1964\/9. What is the nearest to k in -3\/5, y, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*g - 5*i, -3*g + 14*i - 13*i - 1 = 0. Let q(a) = -a + 2. Let z be q(0). Suppose 4 = z*m + 2*f, -15 = -0*f + 5*f. Solve m*u - 2*u = g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1293.3 - 1293. Sort -4, d, -0.07, 0.2 in descending order.\nAnswer: d, 0.2, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 - 5)*((-8*q + 2*q - 2*q)*(0 + 3 - 1) + (1 - 4 + 4)*(-1 - 2*q + 1))*(0 + 0 + 1)*(-3 + 4 - 2) in the form d + v*q and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -168, -154, -126, -78, -4, 102, 246, 434?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((315\/357)\/(-15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j. Let d = 14 - 12. Let z(i) = -11*i**d + 9*i**2 + 6*i**2. Calculate z(o(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 55*c**3 - 691*c**2 - 2285*c - 1650.\nAnswer: (c - 66)*(c + 1)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -745*d = -2980, -d = -5*z - 0*d - 119 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9*(1 + (-6)\/9). Suppose 2*o + 4*s = 7 + 17, 13 = -o + f*s. Suppose k - 4*k + 25 = o*z, -3*k - 15 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19694.283 months in centuries?\nAnswer: 16.4119025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -622333, -1244669, -1867005, -2489341, -3111677?\n\"Answer: -622336*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/15*5\/((-60)\/(-126)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 7*a**2 - 9*a + 12. Let t be h(8). Suppose -t*n = n. What is the second derivative of 0*f**4 - 4*f**4 + 2*f**4 + n*f + 4*f wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 308087810 and 45890.\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -417894 plus 2508099?\nAnswer: 2090205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 266397095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 41*d**2 + 2*d + 7. Let c be m(3). Suppose 5*u - 143 = c. Suppose -u = -k - 3. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*h**4 + 8*h**3 - 8*h**3 + (-4*h + 2*h + 5*h)*(15*h**2 - 6*h**2 + 3*h**3 - 7*h**2) in the form f + o*h + p*h**2 + a*h**4 + t*h**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**4 + r**3 - r - 1. Suppose u - 14 = -16. Let p(z) = -3*z**4 - 2*z**3 + 2*z - 5. Let l(c) = u*o(c) - p(c). What is the derivative of l(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00274167429 rounded to 5 dps?\nAnswer: 0.00274","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/48928 and -197\/1100880.\nAnswer: 2201760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*k**2 + 166*k**2 - 87*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (108\/(-918))\/(6\/(-51))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 122 - 1463\/12. Let v(o) = o + 7. Let g be v(-6). Let f be ((-2)\/(-8))\/((-42)\/(-48)). Which is the nearest to f?  (a) -1\/3  (b) w  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2798 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -n**2 + 1887*n + 19812.\nAnswer: -2*n + 1887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 115473658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - -11 - 8) + -22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 j, and 2 n when four letters picked without replacement from njrnryso?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-8)*108\/(-81)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -7*l**2 + 116*l - 475. Determine s(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 8*v**2 - 8*v - 1. Let q be i(-7). Suppose q*c + 0*c = 900. Let o = -67 + c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4582104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a\/(a*a\/a**(-12))*a))\/a*a**(-2)*a*a**21\/(a**(-5)*a) assuming a is positive.\nAnswer: a**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4560 or -4750?\nAnswer: -4560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -1. Let y(v) = -2 + 39*v + k - 38*v. Suppose -4*l = -6*i + i - 9, 0 = 3*l - 4*i - 6. Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.068  (b) 0.09  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 2*g + 2. Let k be (-34136)\/132277*(-1 + 0)\/(-6). Is k equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*w**2\/13 - 52268*w\/13 - 17422\/13.\nAnswer: -2*(w + 8711)*(3*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 12*q + 36. Let c(n) = -20870*n + 20870*n + 2*n**2 + 0*n**2. Calculate i(c(p)).\nAnswer: 24*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2477407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 100 in -2, -2\/9, -157, 4, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + ((-1*sqrt(224)*-1)\/((sqrt(56)*-1)\/sqrt(8)))**2 + -2).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - s + 15*s + 2*s - 4*s + 0*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 77 = -28. Let o(g) = -2*g**3 + 3*g**2 + g + 10. Let q(d) = -d + 1. Let c(y) = h*q(y) - 5*o(y). Factor c(f).\nAnswer: 5*(f - 3)*(f + 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4\/5 - 1704*a**3 + 17993592*a**2\/5 + 131214816*a + 5929616016\/5 = 0. What is a?\nAnswer: -18, 4278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**1)**(-9))**(-2\/115) assuming q is positive.\nAnswer: q**(18\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, 6, -3, -0.4, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 141460 = 35860. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -3)*-167 - 1. Let m be g\/(-3) + 1\/3. Let v = m - -86. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 10. Let u(m) = m**2 - 5*m - 1. Let h be u(6). Suppose 24 = 2*c - 2*n + 3*n, -5*n = 4*c - 54. Suppose -14 = -h*r + c. Calculate w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92617 or 92616?\nAnswer: 92616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30.3 + 30.35. Sort 1\/19, 9, u in ascending order.\nAnswer: u, 1\/19, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 30*i + 17. Let t(h) = h + 3. Let p(q) = -r(q) + 2*t(q). Let w(d) = -29*d - 13. Let z(n) = 7*p(n) - 6*w(n). What is z(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -187.0456 - -187. Let f = o - 13.9544. Do f and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/19, 0.07, 14, 5, -19\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -327477 (base 9) to base 12\nAnswer: -9535a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 3*j = -32. Let p be j\/(-6) - (-6)\/18. Solve p = 5*h + n - 6*n + 5, -2*h + n = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262*s - 949*s + 4*s**3 - s**2 - 930*s.\nAnswer: 4*s**3 - s**2 - 1617*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (2 - 0 - 4). Suppose -q + 6 = 3*m - 2, 3*q = -2*m + 10. Let j(g) = 3 + 3*g**2 + g**3 - g**2 + 0*g**q. Give j(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -207 + 161795.3.\nAnswer: 161588.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/989383 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 39975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) + (sqrt(190)*1 - sqrt(190) - sqrt(190))*4))\/(sqrt(20)\/(sqrt(2) + sqrt(18))) - (sqrt(171)*-3 + 0 + 2))**2.\nAnswer: -100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b + 12. Let a be t(-6). Suppose a*h = 23*h + 108. What is the remainder when h is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 1 - 1 + 7*k - 4. Let j(x) = 20*x - 11. Let i(b) = 4*j(b) - 11*w(b). Let h(r) = -r + 2. Let y be h(4). Give i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 17*t - 770. What is o(42)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3326 - 2404696\/723. Is t less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o**2. Let u(f) = 19*f - 8*f - 12*f. What is v(u(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4626572, -9253147, -13879722, -18506297, -23132872, -27759447?\n\"Answer: -4626575*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62.2 - -81. Let o = 19 - c. Let s = -473\/45 - -100\/9. What is the third biggest value in 2, s, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - j = 5, 6*j + 5 = 5*o + j. Let a(c) = 2*c + 6. Let n(u) = -2*u - 7. Let w(k) = o*a(k) + 3*n(k). Give w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165909587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/51)\/(1380\/1404 + -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1837, -2091, -2515, -3109, -3873?\nAnswer: -4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0*1956385\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/25, 2\/7, 3, 4\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -3*c - 3*u, 0*u + 12 = -2*c + 2*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 862296 and 107787?\nAnswer: 862296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -0 + 4. Suppose w*t + 22 = 2*q, -4*q - 5*t + 3*t = -34. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m - 18. Let q(h) = -16*h - 144. Let u(k) = -6*q(k) + 51*v(k). Let f be u(-10). Does 12 divide 51\/f*(-1 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from ttntdtwtb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -770*d - 821. Let n(s) = -758*s - 820. Let c(m) = -5*n(m) + 4*p(m). What is the first derivative of c(l) wrt l?\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.781933ns to minutes.\nAnswer: 0.00000000009636555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {t: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -863*g**5\/12 + 5423*g**2. Let h(x) = -x**2. What is n(h(o))?\nAnswer: -4315*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n + 9*n**2 + 2*n**2 - 1 - 4*n**2 - 5*n**2. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + 50 + -98 + 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1106.9 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*f**2 + 402 - 402.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-37 - -1)*513\/36*-26. What is the highest common factor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -2a?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 4*q + 282. Let w(y) = 579*y. Calculate w(x(r)).\nAnswer: -579*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 101577.\nAnswer: 304731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, y: 4, x: 1, s: 7}. Give prob of picking 3 y.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((1 + (sqrt(475) + -1 + sqrt(475))*-5)**2 + -3 + sqrt(1900) + -1 + -2)*-5.\nAnswer: -1425900 + 17700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, x: 2, t: 1, a: 4, v: 2}. Give prob of sequence av.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 677136 minus 1853999?\nAnswer: -1176863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 66 + -59. Let n(w) = 4*w**2 - 6*w - 3. Let x(k) = k**2 - 2*k - 1. Give u*x(r) - 2*n(r).\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 1, 3, 249 in decreasing order.\nAnswer: 249, 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 63, -5, 1, 66 in decreasing order.\nAnswer: 66, 63, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -304457 (base 8) to base 12.\nAnswer: -4a2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of k**6\/12 - 49*k**5\/5 + 523*k**4\/2 + 7492*k**3\/3 + 7904*k**2 + 10816*k + 564. Factor w(m).\nAnswer: (m - 52)**2*(m + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6001 - 5989. Solve 0 = -0*y + 3*y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j - 14. Let s be t(-6). Sort s, -4, 3 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 165*z + 8088. Let t be f(-49). Which is the biggest value?  (a) 2\/5  (b) t  (c) -3  (d) 23\/8  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gughhng. Give prob of sequence ghg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 2*z**2. Let o be n(-1). Suppose -11 + o = -5*h. Solve -h*g + 3*g - 2*i = -4, -g - 3*i = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -7*l**2 + 2*l - 1. What is y(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 1:33 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.847 take away 3032?\nAnswer: -3029.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2203 - 637. Suppose 3140 = 3*h - 3499. Let r = h - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -1 - -2 - -13*3 and (1 - (-285)\/39) + (-3232)\/10504?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -0.08  (b) 9  (c) -4  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**2\/5 - 806*p\/5 + 66584\/5 = 0.\nAnswer: 116, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.3 - 3.7. What is the closest to 3 in o, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.01 + 3.99. Let u = -0.05 + 12.05. Let v = u + -9. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -13894*c - 17. Let o(q) = -4631*q - 5. What is 2*h(d) - 7*o(d)?\nAnswer: 4629*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 378140 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 7*i**4\/24 + i**2\/2 + 2. Let s(a) be the second derivative of g(a). Let u be s(1). What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-35))\/((-2)\/(-7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + 0)**2 + (0 + sqrt(72))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -283, -912, -1891, -3226, -4923, -6988, -9427?\n\"Answer: -o**3 - 169*o**2 - 115*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2364*n - 840*n - 125*n = -523*n - 81374 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*n - 4*a, -3*n = 4*a - 2 + 1. Let t = n - -7. Let o(v) = 0 - 2*v - t - v + 2*v. Give o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5734097, -5734098, -5734099, -5734100, -5734101, -5734102?\nAnswer: -5734103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 48670602121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03259 - 36.62259. Let g = -2.6 + -33.4. Let u = g - v. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**4 + 97*j**3 + 174*j**2 - 132*j - 136 = 0 for j.\nAnswer: -2, -2\/3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11953237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43 - -79. Suppose 2*t = 8*t - a. What is the smallest common multiple of 42 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.0561 * -24\nAnswer: -73.3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -11*w - 20*w + 32*w. Suppose 0 = 4*r + 5 - 21. Let g(o) = r - 4 + 33*o**2 - 32*o**2. Calculate g(j(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -3754\/5 and -751 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 254, 513, 772, 1031?\n\"Answer: 259*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)\/(-1*(sqrt(10) + sqrt(40)\/sqrt(4))))\/(sqrt(252)\/(sqrt(9) - sqrt(9)*-1) - sqrt(28)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 574.457811 to 1 decimal place.\nAnswer: 574.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*a**2 + 11*a**2 - 63*a**2 - 21*a**3 + 79*a**3 + 15*a**2.\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-1\/21)*b*b*b*b))\/b**6 assuming b is positive.\nAnswer: b**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**6\/72 - 7*t**5\/24 - 5*t**4\/4 - 41*t**3\/6 + 58*t**2. Let o(r) be the first derivative of m(r). Factor o(c).\nAnswer: -5*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 326185 or 326191?\nAnswer: 326185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -28, -59, -110, -187, -296, -443, -634?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -403948, -807871, -1211778, -1615669?\nAnswer: -2019544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67197793.\nAnswer: 13, 5169061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -0*n - 9*n. Let i be (-3 - n) + 2 - -510. Let t = i + -234. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 61 and 571?\nAnswer: 34831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p - 18. Let a be k(-7). Let m(l) = 5*l + 3. Let x(f) = 4*f + 2. Let i(h) = a*x(h) - 2*m(h). Let w(y) = -4*y. Calculate i(w(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 30.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 364717.55 - 364707.5500054. Let i = -10 + g. Round i to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oyoonpoop. Give prob of sequence poy.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -53222 divided by 3\nAnswer: -53222\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3*m - 3. Let f be s(-2). Suppose h + 8 = -10. Let g = -14 - h. Solve -k = f*k - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 13*v**4 + 109*v**3 - 1051*v**2 + 1418*v + 2535. Let i(q) = 20*q**4 + 164*q**3 - 1576*q**2 + 2128*q + 3800. Let o(l) = 8*f(l) - 5*i(l). Factor o(g).\nAnswer: 4*(g - 4)**2*(g + 1)*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*g**3 + 14*g**2 - 2*g - 188 wrt g.\nAnswer: -54*g + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2.5*-2963\nAnswer: -7407.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*u + 519 = -12*u - 1002 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*o - 2*o - 430. Suppose -2*h = 6*x - 4*x - o, 3*h = -4*x + 167. Suppose -724 = -3*v - 274. Calculate the remainder when v is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14555061?\nAnswer: 3, 709, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2103033 (base 4) in base 11?\nAnswer: 7097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 + -cd?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0869730367 to 3 dps.\nAnswer: 1.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*m + 2*j - 0*j, 3*m - j = 14. Let l = 0.45 + -0.05. What is the nearest to 1 in l, m, -2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22395394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(209) + (sqrt(209) - (sqrt(209) + (sqrt(209) - sqrt(209)*1*2) - sqrt(209))))\/sqrt(11) - (1*sqrt(171) + sqrt(171) + sqrt(304)*-2))**2*3.\nAnswer: 8550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23065490.\nAnswer: 2, 5, 7, 109, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 3 + 7 + 1 + 66 + -53.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -117 - -197. Let x(c) = 1 - c**2 + 14*c + c**2 - 4 - c**2. Let w be x(13). Calculate the highest common factor of d and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4*sqrt(152)*1 + -6*(sqrt(152) + (sqrt(152) - -2*sqrt(152))))\/(sqrt(64)\/(sqrt(392)*-4)).\nAnswer: -2240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -239200.27 to the nearest one hundred.\nAnswer: -239200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 9, n: 1, o: 7, k: 2}?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) -0.5  (c) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - -1. Suppose -3*w - a = -p - 5*w, -5*p = 4*w - 24. Let f(h) = 2*h**3 + 5*h**2 - 4*h - 1. Is f(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 3:50 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150224658.\nAnswer: 2, 3, 25037443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52 + 49.9. Let s = 1.9 - p. Which is the nearest to 0?  (a) s  (b) 0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.032321 and -0.0144.\nAnswer: 0.017921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p = -17*p + 920. Calculate the highest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*p + 3*f + 3 = -87*p + 53*p, -3*p + 12*p + 4*f = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 209860434 by -87661.\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -399588 divided by 28542\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34670?\nAnswer: 2, 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 7*a**2 + a - 11. Let w be h(-8). Let p be 1\/3*(-72 + 82 - (-2 + -3)). Calculate the greatest common divisor of p and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 47, 25, -9, -61, -137, -243, -385, -569?\n\"Answer: -p**3 - 15*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0548 times -0.1\nAnswer: -0.00548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455405224?\nAnswer: 2, 19, 2996087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -25 + c3?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666*x - 65*x - 8772 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 28 = -135*o + 138*o, -4*o - 3*f + 25 + 33 = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -d**5\/10 - d**4\/3 + 5*d**3\/2 + 68*d**2 + 4*d - 1. What is the tens digit of g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -2 - (-16 + -1)) + -2457 + 2439?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/(6\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tzttkitzihtt. Give prob of sequence ztti.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 190\/228*1\/(-15) + 1695\/11070.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -96, -5, 18, -4 in decreasing order.\nAnswer: 18, -4, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 21 = 3*z. Suppose 26*s - 4224 = 14*s. Suppose 3*o - z*o + s = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 349, 829, 1411, 2095, 2881, 3769, 4759?\nAnswer: 5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -700 - -680. Let w(h) = 8*h + 159. Let q be w(j). What is the nearest to 0.2 in -65, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36694214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1200 + 1204. Solve a*p - 6 = 6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118.4 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -58, -185, -396, -691, -1070, -1533?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, -2327, 4, 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3\/5, 157 in ascending order.\nAnswer: -2, 3\/5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 7*l**3 + 78*l**2 - 288*l + 280. Let g(q) = -18*q**3 - 234*q**2 + 864*q - 840. Let v(j) = 3*g(j) + 8*z(j). Suppose v(o) = 0. What is o?\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = -17*w. Suppose w = 13*u + 12 + 14. Which is the biggest value?  (a) u  (b) -0.16  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b + 11. Determine a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, -396, -1930, -4940, -9918, -17356, -27746?\nAnswer: -41580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 23. Suppose 5*a = 3*v + 15, -3*v + 25 = -4*a - 8*v. Let d be w(a). Let -5*u**2 - 15*u**2 - 16*u**3 - 12*u**3 + 30 + d*u**3 - 5*u = 0. What is u?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*d**2 - 32*d**2 - 12 + 2*d**3 as j*d**3 + k*d**2 + w + h*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 323402404 (base 5) in base 4?\nAnswer: 11102311032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55 - -78. Let n = m + -24. What is the closest to n in -0.2, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 1. Suppose 5*v = -3*u, 23*u - 13 = -4*v + 18*u. Let f(k) = -k + 2. What is v*m(y) + f(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12058 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 8. Let v = 13 - x. Suppose -2*q - v*l = 24 - 134, -5*l = -4*q + 220. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -615 = 66*u - 189*u. Solve -v - 13 = 4*o, -u*v = 5*o + 21 - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*k**3 + 52*k**3 - 202*k**3.\nAnswer: -290*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 - -21. Let c(j) = j**2 - j - 1. Let z(i) = -6*i**2 + 12*i - 3. Let p(h) = d*z(h) - 3*c(h). Determine b so that p(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 8:38 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30048872 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.29673l in millilitres?\nAnswer: 25296.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 2*z**6\/15 + 4*z**3\/3 - 5*z**2. Find the first derivative of b(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63823 * 8.\nAnswer: -510584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 1:52 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 165652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/5)\/(2\/115) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 1 + 1)*(-4 - 4 + 2553*r - 2596*r).\nAnswer: 86*r**3 + 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6298 - 6298 - 14*s**2 + 24*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 111020.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 2.4897?\nAnswer: 9.9588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**4\/8 - g**3\/2 - g**2. Let w be p(-2). Differentiate 4*r**3 - r**w + 8*r**2 - 8*r**2 - 6 wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 divided by 38\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 11507, -0.104, -72 in ascending order.\nAnswer: -72, -0.104, 11507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -0.0763, 4, -11\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -504*z**4 - 597*z**2 wrt z?\nAnswer: -12096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3869 equal to -3869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -0*b + 3*b - 60, -3*b = -2*n + 48. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/(z\/(z\/z**8)))\/z))\/z)**(33\/4) assuming z is positive.\nAnswer: z**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1949 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*u**2\/9 - 124*u\/3 + 104\/9 = 0. What is u?\nAnswer: 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-316)\/(-6)*51\/(-17). Let s = 304 + p. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -2. Let m(r) = -4*r + 138 - 131 + 5*r. Is m(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 6286  (c) -2\/213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.016 - 33.016. Let m = 63 + i. Let q = m + -29.9. Which is the nearest to 2?  (a) 4  (b) q  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.75358122 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 37, 131, 285, 499?\n\"Answer: 30*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 11:01 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 9*k - 10*k = 12, k + 10 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5102 a factor of 847000661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -15*u + 1. Let n(f) = -29*f. Calculate n(t) - o(t).\nAnswer: -14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1180471 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3710332 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -60812554.12 to the nearest 100000.\nAnswer: -60800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 n, and 1 u when three letters picked without replacement from {h: 5, b: 4, d: 1, n: 1, u: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001110100011101100 + -111?\nAnswer: 10001110100011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-13 + 20 + -10 + 50) - (-8 - -2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 0*m**6 + 89*m**2 + 0 + 0*m**3 + 0*m**4 - 41\/210*m**7 - 119\/60*m**5 + 0*m. Find the third derivative of k(h) wrt h.\nAnswer: -984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 3*a - 1. Determine b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, 12, 18, -1\/6.\nAnswer: -1\/6, -0.04, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 1:08 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 6*b - 2*b - 145, 2*v + 2*b = 56. Let z = 11781 - 11682. What is the lowest common multiple of z and v?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t**2 - t + 1. Let c(s) = 11*s**2 + 1187*s + 6. Give c(b) - 3*p(b).\nAnswer: -b**2 + 1190*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -534.617 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -67408*y + 2. Let r(g) = 2078*g. Calculate n(r(o)).\nAnswer: -140073824*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1811, -3670, -5579, -7544, -9571, -11666, -13835?\nAnswer: -16084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1692*l**2 - 3788 + 3788)*(0*l**2 + 2*l**2 + 5 + l**2).\nAnswer: -5076*l**4 - 8460*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 3:44 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -112\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92156 is divided by 97.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - -4 - -2 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2839239299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -8*a - 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -251*b + 466. Is i(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/2, 2421 in decreasing order.\nAnswer: 2421, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 - 3*q**2 + 0*q**2)*(-617 + 1348 - 551).\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -94\/3, -0.592, 2, -2\/13 in decreasing order.\nAnswer: 2, -2\/13, -0.592, -94\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 60 = -8*p. Let n be ((-6)\/(-18))\/((-2)\/p). Factor 2\/9*k**n - 4\/9 - 2\/9*k.\nAnswer: 2*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2119 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 74e (base 15) in base 10?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 11*t**3 + t**2 - 6*t - 1. Let y(k) = k**3 - k. Let o(c) = n(c) - 6*y(c). Let x = 2 + -3. What is o(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 336 = -0*v + 4*v, -3*y = -3*v + 516. Let g = -1234\/7 - y. Suppose -5 = 5*n - 2*r, -n - 7*r = -12*r - 22. What is the closest to 1 in n, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 4*l - 3. Let u = 19 + -16. Sort 5, l, u in increasing order.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -2*k + v + 2, 0 = v - 4. Let g = -27 + 28. Put g, -3, k in decreasing order.\nAnswer: k, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360 is divided by 96.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 299 + 5*o**3 - 303 + 5 + 413*o**4 + 4*o**4 + 0*o**4 - 3*o**4 + (1 + o**2 - 1)*(2*o**2 + 2 - 2) + o**2 - o**2 + 2*o**4.\nAnswer: 418*o**4 + 5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**3\/2 - q**2 - 1773*q. Let p(a) = -2*a - 3. Calculate 2*p(o) - 3*x(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14646548900 rounded to the nearest one million?\nAnswer: 14647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/6*q**5 + 9125*q**3 + 83543\/3*q**2 + 56011\/2*q - 157\/2*q**4 + 18723\/2.\nAnswer: (q - 237)**2*(q + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6857036 is divided by 46966.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 48*i - 36. Let j be v(3). Let q = 110 - j. Solve -4*r + 5*f + 23 = -3*r, q*f = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of 7*s**6\/720 + s**5\/24 + s**4\/3 + 8*s. Let m(n) be the third derivative of u(n). What is the derivative of m(d) wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 32*m**2 + 588*m - 1764. Calculate y(3).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -61*g + 66. Let k be n(1). Solve -2*t - 6 = 3*w, k*w + 4*t - 3*t + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 7:07 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -5*j**2 + 4*j - 3. What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9030 is divided by 4497?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1*s**3)\/((s**(-3)*s)\/s*s**(2\/3)))\/((s**(-1\/3))**(-5)*(((s*s**(-1\/2)\/s)\/s)\/s)**(-2\/5)) assuming s is positive.\nAnswer: s**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.95 + 6. Let r = 60 - 60. Let c be -4 + (r - 60\/(-16)). Put 0.4, c, i in increasing order.\nAnswer: c, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 - 55 + 107 - 153*d**3.\nAnswer: -153*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = y - 25, -2*u + 3*y + 1 = 0. Solve 11*h - 9*h = u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4333, -4820, -5277, -5710, -6125?\nAnswer: -6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32419408 and 43792.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -28031932 divided by 5?\nAnswer: -28031932\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 33 = -27. Solve -n*r + 11*r = 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(175)*-4 + sqrt(175))\/(sqrt(7) + sqrt(7) + -2*sqrt(63)))\/(1*(-4*(-2*sqrt(500) + sqrt(500)) - sqrt(500)))*1)**2.\nAnswer: 9\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3844)\/11935 - 4\/(21*(-14)\/21)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.4 + -3186874975794.\nAnswer: -3186874975790.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -251242, -251334, -251430, -251530, -251634, -251742?\nAnswer: -251854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (5\/35)\/(4\/70 - 0)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q = -48*q + 418 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3906, 3646, 3386, 3126, 2866?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 113227228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25300034 (base 6) to base 11.\nAnswer: -5084a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (12\/32)\/((-45)\/60)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -17*g**3\/3 - 2*g + 13. What is the derivative of x(j) wrt j?\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 233591100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-32))\/(5\/(-270)). Let r = -486 + 489. Do r and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 1\/19  (c) 25\/3  (d) -0.4  (e) -14\/15  (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -3 and -194\/109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12149 - -12151. What is the nearest to f in -7\/5, -1.2, -6?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n**3\/3 + 53*n**2 - 8. Let k(x) = -x**2. What is k(f(r))?\nAnswer: -r**4 - 212*r**3 - 11236*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - 19*c**3 - 14834*c + 14834*c - 22*c**3 - 2*c**3.\nAnswer: -43*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 24 = -0*b. Suppose -b - 8 = -4*n. Suppose n*c = 4 + 11. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -111396 + 590844395\/5304. What is the common denominator of r and 4\/5?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*r - 500 = 153*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 2*q + 223. Calculate l(0).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3343 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 7*r**2 + 7*r - 17. Calculate y(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14946 divided by -1.\nAnswer: -14946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 90447565 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.15758 and -4.\nAnswer: -4.15758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 96*v**3 - v**2 + v - 1. Let i be u(1). Suppose -58 = -2*y + 4*j, 0*j + i = 4*y - j. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4956358, 9912693, 14869028, 19825363?\n\"Answer: 4956335*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.328 - -1.328. Is a != -1\/333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/8 in -5, 0.3, -33471, 2\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5334 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -116, -1, -2.\nAnswer: -116, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 + (0 - -3) + 23 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12)*(-11 + (-15 - (-2244)\/86))\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - o - 17. Let c be j(0). Let w = -12 - c. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -670 and -0.2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/758*((-9)\/3 - -5). Is 0 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 + -0.3. Let g(x) = -x**3 - 6*x**2 + 6*x - 10. Let k be g(-7). Let j be ((-19)\/(-6) + k)*6. Which is the closest to j?  (a) 4\/9  (b) s  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h + 61. Let a be z(-30). Let k(p) = p**2 - 5*p - 3. Let c be k(5). Sort a, 2, c in ascending order.\nAnswer: c, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418*m - 56*m + 2265 + 1019 = 347*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Solve 138 = -3*j + 138 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*m**3\/13 + 5526*m**2\/13 + 7122*m\/13 - 7700\/13 = 0.\nAnswer: -275, -2, 7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 41.763 from 0.1052988.\nAnswer: -41.6577012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z + 5. Let r be n(0). Let j(x) = -r*x + 14*x - 4 + 3 + 0. Let o(v) = -4*v. Let y(a) = 3*j(a) + 7*o(a). What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20200 + -2?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22371 + -67111\/3. Which is the third smallest value?  (a) -3\/8  (b) -1\/11  (c) l  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 148*((-672)\/(-1344))\/(2\/(-2))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -a88b7 (base 14) to base 15\nAnswer: -80c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b**2 - 1 - 3*b**2 + 0 - b**3 + 0. What is g(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2468*n + 1182 + 1188 + 1182 - 3552 as v + l*n and give l.\nAnswer: 2468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/1598 and -8\/107959.\nAnswer: 3670606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*y - 58*y + 11*y + 111*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86 and 817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138200 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - b**2 - 1. Let t(n) = -5035 - n - 2*n**3 + 2516 + 2522. Calculate -3*q(z) - t(z).\nAnswer: -z**3 + 3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 1. Let d(j) = 651*j + 6. Calculate -d(l) + 8*v(l).\nAnswer: -651*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 11 + 5. Let u = 18 + g. Find the first derivative of u*t**2 + 14 - 37 + 19 wrt t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + 5*n + 4*o + 10, -3*n - 6 = -4*o. Sort n, -3, 5, 4.\nAnswer: -3, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/(-84)*((-1080)\/550)\/(-18).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14755712401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 70457565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2807 is divided by 151.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 49, -446, -2043, -5288, -10727, -18906, -30371, -45668?\n\"Answer: -91*k**3 - 5*k**2 + 157*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, k: 6}. Give prob of sequence kmk.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 742*o - 4556. List the prime factors of j(36).\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120051 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t**3 - 1 + 5 - 64*t**4 + 66*t**4 as y*t**2 + z*t + j*t**4 + o + k*t**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 - 3. Let a(m) = 4*m - 3. Let y be a(2). Suppose w - t + y = 3*w, 0 = 5*w - 5*t - 20. Suppose 3 = 3*j - i, w*j + 7 = -3*i - 2. Calculate b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j + 2. Let k be d(-2). Suppose k*z - 112 = 2*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l**3\/3 + 387*l**2 + 85556*l\/3 + 28132 = 0. What is l?\nAnswer: -1082, -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -15\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27873083.\nAnswer: 7, 3981869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - c + 4*c**3 + 0*c**3 - 6*c**3. Calculate j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*r - 24 = -4*x + 26*r, -6*x = 5*r - 33. Solve -n = 2*s + x, -2*n + 31 - 23 = -3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j**3*p**2*x - 748568*j**3*p**2 - 6*j**3*p*x - 21*j**3*x + 4*j**3 + 34*j*p*x wrt p.\nAnswer: -4*j**3*x - 1497136*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 18. Suppose 46 = -5*b + 4*q, 3*q = b + 5*q + 12. Let f be h(b). Solve 3*x = -5*j + 20, -4*j - f = -2*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 52181712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 17*m**3 - 3 + m**3 - 1.\nAnswer: 18*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -s**5\/10 - 11*s**4\/3 - 140*s**3\/3 - 200*s**2 + 31*s + 60. Let q(g) be the first derivative of y(g). What is d in q(d) = 0?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 105887\/24 - 4409. Calculate the common denominator of g and -14\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -8*y + 11*y. Which is the closest to y?  (a) -6  (b) 1\/11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 17355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7043, -7058, -7087, -7136, -7211?\n\"Answer: -x**3 - x**2 - 5*x - 7036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -229*k**6 + 12*k**5 + k**4 + 4*k**2 - k + 51809 wrt k.\nAnswer: -27480*k**3 + 720*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6\/17, -59 in decreasing order.\nAnswer: 4, 6\/17, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -27100 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4725 and 102774.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 164221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o. Let a be (-10)\/(-55) + 204\/(-33). Let d be b(a). Suppose 3*m - j = 4, -2*m - d*j - 20 = -j. Solve 3*p = -m*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -21\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 - 38*n + 34*n)*(1 - 3 + 0) to b*n + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 6 = 18. Suppose -3*w = 15, -3*q + w = -w - 37. Let g be p*(2 - q\/6). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*v + v - 32 = 0, -5*z - 2*v - 52 = 0. Let l = z + 21. Let c(t) = t**2 - 8*t - 9. Let y be c(l). Let p(w) = -w**2 + w + 2. What is p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -808730, -808748, -808778, -808826, -808898?\nAnswer: -809000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -4*h - 1. Let g be j(-1). Suppose -i - 97 = -g*d, 3*i - 29 - 52 = -3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1482 in -4, -0.3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10 + 27110\/5 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-1*sqrt(70))\/sqrt(10))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 10*w**2 - 10*w + 23. Let r be u(-11). What is the greatest common factor of r and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-34)\/v**(-28) assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 22. Suppose -b = -2*b - 5*l + 30, j*l = 4*b - 120. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from icriccpmmmm. What is prob of sequence mc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10875287 is divided by 7136?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1195 is divided by 322?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (132\/(-16))\/((-63)\/84)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - 25. Let u be 8\/6*(5 - 8). Let j = -18 + 13. Put u, j, k in ascending order.\nAnswer: j, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*f**5\/3 + 386*f**4\/15 - 1262*f**3\/15 - 5878*f**2\/15 - 3542*f\/15 - 484\/15 = 0. What is f?\nAnswer: -2, -1\/2, -1\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 96726.4415 to the nearest 1000.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w**2 + 3. Does 19 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16330*i**2 - 73288*i**2 + 9181*i**2.\nAnswer: -80437*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14\/23  (b) 5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zwvzrhwv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 50\/12 + 4*9\/(-216). Let w = 3.8 + -3. Put q, -2\/3, w in descending order.\nAnswer: q, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 20*q**2 + 2*q + 39. Let v be w(-6). Suppose -742*m = -v*m + 3060. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3470 + 3664. Put -17, u, 0 in descending order.\nAnswer: u, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*a**2 + 37*a**2 - 2*a**3 - 5*a**3 to g*a + u*a**2 + f*a**3 + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 + 16 = 5*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/19680 and 107\/180?\nAnswer: 59040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -337 + 597\/2. Let c = 24000 + -432115\/18. Calculate the common denominator of c and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1867 divide 14848251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.044 + 2.344. Let z = 2.81 - m. Let a = -0.01 + z. Put a, -2, -1 in descending order.\nAnswer: a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3388, 5, -0.1 in increasing order.\nAnswer: -3388, -5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 11:59 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 8 + (-6 - -2) + (11 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {d: 3, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, m: 6, o: 4, t: 3}. What is prob of picking 2 u and 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3 = q, -2*p + 23 = -4*q + p. Let k be 17292\/(-1872) + q\/(-13). Let r = 167\/12 + k. Calculate the common denominator of r and -43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000105573 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -436, -869, -1302, -1735?\n\"Answer: -433*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + q**2 - 3*q + 1. Let v(c) = -2*c**3 + c**2 - 3*c + 1. Let o(p) = 3*r(p) - 2*v(p). What is o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 472367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*k = 52700 + 23734 + 79566. Is 192 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**10*((m**3*m)\/m)\/m)\/((m**(-1\/11)*m)\/m*m*m*((m\/(m\/(((m**9*m)\/m)\/m)))\/m)\/m*m*m) assuming m is positive.\nAnswer: m**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - 3*g**2 + 25*g - 35. Let r be w(9). Let i = r - -1333. What are the prime factors of i?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 243\/180*(-72)\/54.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -169 - 290*w - 145 + 321 in the form g + i*w and give i.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 1)*(7 + -6). Let w(p) = 4 - 2*p**n - p - 2*p**2 + 3*p**2. Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q + 8*q**3 - 3*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -11*x + 2. Let h(w) = 5*w - 1. Let t(g) = 9*h(g) + 4*z(g). Let b be t(4). Let p be 0*(1\/(-1))\/2. Solve -4*c + b*c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17192 + -15060. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/14 + (-2)\/7. Let a be 0 + 1 + (1 - f). Let z(s) = -2*s + 2*s + 2 - 2*s - 1 - s**3. Calculate z(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/552 and -95\/432.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -2\/3*v**3 + 0*v + 1\/10*v**5 - 1\/105*v**7 - 1\/12*v**4 + 3 - 21*v**2 + 1\/60*v**6. Find j, given that q(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from tyvvytvgytvtyyyv.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -64108576 and -0.03.\nAnswer: -64108576.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9117\/500 - 2\/125. Let u = 1868463\/46 + -40617. Calculate the common denominator of g and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 328 and 9206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2614001326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/14782536 and 59\/300.\nAnswer: 369563400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.33?  (a) -2\/27  (b) 0.5  (c) 1\/48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 32*q - 160. Let p be d(5). Let h = 0 + 3. Suppose -f + p = -2*n - 7, 0 = -h*f + 5*n + 24. Calculate the greatest common divisor of 91 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8391*c**4*g**3 + 3390*g**3 wrt c?\nAnswer: -33564*c**3*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 6:44 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1086 - 1081. Let a = -85 - -61. Let b = a - -44. What is the highest common divisor of b and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 less than -590?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1425, 1338, 1179, 942, 621, 210, -297, -906?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/10 + -15 + 17 - 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*p**4\/5 + 27296*p**3\/5 - 89826*p**2\/5 + 23436*p\/5 = 0. Calculate p.\nAnswer: -1953, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -289\/57 - -90\/19. Which is smaller: 0.557 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3 = -u. Let w be (-2 - 1)\/(u\/(-10)). Let m be (w\/(-6))\/(3\/9). Solve 4*r + 2*t = 22, 0 = -2*t + m*t - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -86*c**2 + 153*c**2 + 199*c**2 as x + d*c + o*c**2 and give o.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m - 1435 = -1399 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.031 + 0.069. Let u = m - 0.6. Let z = u - -0.5. Is z not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b - 17. Let x be i(9). Let j be ((-18522)\/117)\/7 - 0\/x. Is -22 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-14\/3)))\/(z**(-17)*z) assuming z is positive.\nAnswer: z**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 54829 = 4*o, -5*o + 4*j + 100313 = 31776. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22380462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**2 + 64*c + 5. Let p be g(32). Let h(n) = -n**3 + 6*n**2 - 6*n + 10. Give h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4264*z + 2137*z + 363 - 75 = -2136*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 4 = 5*u + 3*s, 2*s = u - 2. Suppose -w = -u*w. Suppose -3 = -z - 4*y, w = 3*z + 6*y - y - 9. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x*x**16)\/x))**(-3\/14) assuming x is positive.\nAnswer: x**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 129 = 3*i + 87, 2*i - 98 = 26*r for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 316432810.4 + -1?\nAnswer: 316432809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(90)\/sqrt(2)*6 - (sqrt(45) - 6*sqrt(180)\/sqrt(4)))\/((sqrt(9) + -2*sqrt(36))*3).\nAnswer: -11*sqrt(5)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -93 + 54. Let i be (-6)\/c + (-89)\/(-13). Suppose -j = -i*j + 48000000. What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1228*w = 1230*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -1789*w. Let p(g) = -2*g - 358. Give u(p(q)).\nAnswer: 3578*q + 640462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32333, 129339, 291015, 517361, 808377?\nAnswer: 1164063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + v + 35, -m - 3*v - 1 - 4 = 0. Is 15 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (574 - 136 + 38)*(m**3 + m - m + (3 + 3 - 4)*(0*m**3 + m**3 - 4*m**3)).\nAnswer: -2380*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11bbad + -13?\nAnswer: -11bbc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 2*i**2 + 12 as w + x*i**2 + v*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-1) - (5 + -4). Is (-5)\/(i\/(-37))*-13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6701 - 613. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35453 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k + 103*x - 107*x - 18, k = 7*x - 36 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - y + 3)*(-33 + 7 - 8) to x*y + a and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -2. Suppose -n*w - 2 = -6. Let o be w + (-1 - 6\/21). Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x + 81. Let q be l(-27). Suppose 0 = -5*d - 2*a + 72 + q, 0 = 4*d - a - 284. Calculate the highest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 9*b**2 + 645*b + 5459. Give x(-61).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13161 or -13160?\nAnswer: -13160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -r - 19, -3*l = 2*l - 3*r + 13. Let b = 4 - l. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/13*1\/(-2). Let i = 434\/143 - g. Find the common denominator of 1065\/(-852)*212\/30 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 1690657416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8\/((8272\/423)\/22)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-10\/3)*s**21\/s)\/(s*(s\/s**(2\/9))\/s*(s*s**34\/s*s)\/s) assuming s is positive.\nAnswer: s**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8762*z = -2*x + 8767*z - 3, 0 = 2*x - 2*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67995167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - b**2 + 2*b + 9026. Let u(v) = v**3 + v**2 - v - 3. Let q be u(0). Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87653748 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2473035 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: What is the closest to -4421.8 in -1, 0.08, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2402306132.\nAnswer: 2, 7649, 78517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1125, 4362, 9757, 17310, 27021, 38890?\nAnswer: 52917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b77 - -24?\nAnswer: b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 604179*n - 405. Let t(v) = -2991*v + 2. What is 2*s(f) + 405*t(f)?\nAnswer: -2997*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 l when four letters picked without replacement from {l: 6, y: 4, u: 4, k: 1, c: 1, a: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3835 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4 - 28380931146?\nAnswer: -28380931143.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p + 8. Let s be ((-4)\/10)\/(2\/(-30)). Let z be n(s). Sort 0, -3, z in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1223 - 2?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*l = 6, 14*h + l - 36 = 13*h. Let y(d) = 4*d**2 - 120*d + 19. Calculate y(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9611726 divided by -977?\nAnswer: 9838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-13 + 130\/13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = -57 + 309. Calculate the remainder when 278 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1579 = -6*p + 1561 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.06 + -0.26. Let f = 0.1 - z. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 11625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2127, -2124, -2121, -2118, -2115?\n\"Answer: 3*g - 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y - 8*y + 4*y**3 - 2*y.\nAnswer: 4*y**3 - 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1830 is divided by 122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 312579.5 centuries?\nAnswer: 375095400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43071998951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 577.2 + -0.291154175\nAnswer: 576.908845825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + 102\/9)*14\/28*(-1128)\/8?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-249)\/(-17 - ((-125)\/(-50))\/(10\/(-56))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5674570 divided by 6?\nAnswer: 2837285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 33442534 (base 6) in base 14?\nAnswer: 1c6734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by 259.\nAnswer: 10\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2624484240676*c**2 - 77761248*c - 576.\nAnswer: -4*(810013*c + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36475 is divided by 6060.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/3 + 2 + 7. Suppose u*g - 4*a - 940 = -a, 4*a + 553 = 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1629*h - 89714 - 21692 - 15656 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -16*g + 162*g**4 + 13*g + 197*g**4 + 128 + 3*g wrt g?\nAnswer: 1436*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411809201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f + 7. Let p be l(-5). Suppose 10 - 10 = -2*a. What is the closest to a in p, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -8*a**2 - 869*a + 7944. Calculate f(9).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*b**2 + 13*b - 199?\nAnswer: 18*b + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*h - 721 = -94*h + 24*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 3 = 5*y + 2, 0 = -2*y - 8. Let n(x) = -2*x**2 + 11*x - 5. Let g be n(5). Differentiate 2 - 3*m + i*m - m + g with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 a, and 2 u when four letters picked without replacement from {o: 2, a: 1, f: 2, x: 1, z: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007790926 rounded to five decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 609420 is divided by 55401.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18305\/(-245) + 73 - (-60)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217382, -217363, -217332, -217283, -217210, -217107, -216968?\nAnswer: -216787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3 = -4. Let m = p + 1. Let l = 3 - m. Solve -l*r = -r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 619*n**3 + 5*n**2 - 50*n + 95. Is u(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003444747536 rounded to 7 decimal places?\nAnswer: 0.0000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 + -0.4. Let p = -18077 - -234999\/13. Which is the third smallest value?  (a) p  (b) 0  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79, -214, -335, -436, -511, -554?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5534576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3488751964066 minus 16?\nAnswer: 3488751964050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d - 885 = -933. Solve 4*v + 5 = -d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**10)**(2\/91))**(12\/7) assuming l is positive.\nAnswer: l**(240\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1621 + -1638. Let o be 40\/((-4)\/2) + 1. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -1)\/((-1)\/1). Suppose g*l + 4*l - 3 = -x, l - 15 = -5*x. Let f = -401\/3712 - -5\/128. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - s - 225. What is the remainder when s is divided by 1\/((-1)\/6)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61943280 and 2670?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227344796?\nAnswer: 2, 7, 149, 54493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s + 120 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j**3 + 42418 + 42425 + 42421 - 169677 - 56*j**3 + 42423.\nAnswer: -67*j**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -10, -1, -44 in increasing order.\nAnswer: -44, -10, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 9:26 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 212210201?\nAnswer: -212210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + (1 - (16 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 0.08881\nAnswer: 0.44405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 87776 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -737 - -736.6. What is the second smallest value in p, -9, 0.9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15 or 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1507 - 623*p + 153*p**3 - 1507 wrt p.\nAnswer: 918*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-6) + (-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from {m: 11, l: 9}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 27745606 divided by -742\nAnswer: -37393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 850961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -3*t - 5*x - 730, -4*t - 5*x + 1520 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 29 + 19. Suppose h = -3*r - 0. Is (r + 1 - -5) + 87 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3291, 13151, 29599, 52647, 82307, 118591, 161511?\nAnswer: 211079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2933 and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2507911000 rounded to the nearest 1000000?\nAnswer: 2508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a + 0 + a**2 + 5 + 0*a. Suppose 5*b + 3 = t - 2, -15 = -3*t + 2*b. Suppose 0*d + 20 = t*d. What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 40*u - 22. Let d = 84 - 81. What is the tens digit of g(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.1, 5, -0.5, 210 in descending order.\nAnswer: 210, 5, -0.1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 14 = 5*l, 3*l - 2*k - 2 = -2*l. Let t(q) = 12*q - 10. Let s(r) = r + 1. Let f(g) = l*s(g) + t(g). Find the first derivative of f(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-17304)\/75)\/(-28)*1*5*(-260)\/104.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b - 2. Suppose -150 = -4*p - 14. Let m = -61 - -32. Let z = m + p. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35867794813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/6)\/((-7)\/(-42)). Let p be x - -1 - (-28 + 0). Solve -2*m + 4*m = 2*b, -3*m = 2*b - p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7722 divided by -3861.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and -49.6817990326?\nAnswer: 50.6817990326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4*r - 11. Let t be h(-19). Calculate the greatest common divisor of t and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a + 121469?\nAnswer: 121487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + 4*w - 4. Let x be f(2). Suppose 11*l - 8*l + 39 = x. Let a be (-42)\/(-2) + 26\/l. Solve -3*s = 3*t - 24, 0 = s + s + 3*t - a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o - 8\/9*o**3 + 0 + 8\/9*o**2 + 2\/9*o**4.\nAnswer: 2*o**2*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 151*b**2 - 8*b - 40. What is the hundreds digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -1586*x**3\/3 + 1763*x**2\/2 - 1246*x. What is the derivative of n(h) wrt h?\nAnswer: -3172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8263 (base 14) to base 6.\nAnswer: -251503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 6177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13094881 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.28 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12a2 + a6?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = k + 4*l, 0*k - 5*k = l + 20. Suppose -6 - 2 = -2*h. Suppose 4*c = -3*b - 6 - 15, 9 = c - h*b. Which is bigger: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -838 + 135 = 151*m + 1260 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.0128 - -3375.7\nAnswer: 3375.6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1654126 is divided by 2123.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/75 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10470?\nAnswer: 2, 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {e: 1, n: 2, x: 1, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9527 a factor of 4162196233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 2*i - 65. Let t = i - -7. What is the units digit of (-5)\/(15\/t) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**2 + 2*o**3 - o**2 + 0*o**3)*(-8 + 33 + 3).\nAnswer: 56*o**3 - 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-5) + 4\/10. Let p be a\/6 - 8\/(-2). Solve -5*k + 3 = -n - 3, -p*k = -5*n - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 216 and 32.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35\/9?  (a) 4\/7  (b) -3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.856 - -0.956. Let l = 9.9 + -12. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cpccpci. What is prob of sequence cpi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/2, 17208381 in descending order.\nAnswer: 17208381, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-30)\/(-10 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64600 divided by -38.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - (-154)\/(-28))*10. Let t(w) = 9*w - 41. Let g(h) = -22*h + 102. Determine b*g(v) + 12*t(v).\nAnswer: -2*v + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -424*b**2 + 3*b**4 - 11*b**3 - 22*b**3 - 4*b - 35*b + 349*b**2.\nAnswer: 3*b*(b - 13)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 3*j - 41 + 13, 4 = 2*n + 3*j. Let f = n + 14. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -8, -3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 28 = -4*w, -8*w - 18 = -4*w - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.01 - -3.99. Let r = 0 + -0.2. Let q = 8 + -10. Which is the nearest to r?  (a) j  (b) 0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14393 is divided by 96.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -12. Let x = q + 4. Let t be (-22)\/11 + x\/10. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*g - 20. Suppose g*f = 0, -2*f = 3*r + 3*f - 288. Is 48 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 - 675*m**2 - 40481*m + 90. What is w(-78)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175126 is divided by 35023?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 9 - 4 = -2*k, 2*h - 8*k = 26. Put -3\/5, h, 3\/4 in ascending order.\nAnswer: -3\/5, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23967107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -46340 divided by 191?\nAnswer: -46340\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -176 - -178. Sort 7, -22, l in decreasing order.\nAnswer: 7, l, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14.104 + 13.2. Let z = l + -0.166. What is z rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*g + 24 - 98 = 0, 5*g = -5*i + 110. Let k = 143 - 104. What is the remainder when k is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 205 + 14*g - 502 - 43*g + 161 + 181 to d + a*g and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(((w\/(w**(-7)*w))\/w)\/w)*w)\/w*w**(2\/3))\/(w**(2\/7)*w**(6\/7)) assuming w is positive.\nAnswer: w**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4591367 divided by -37?\nAnswer: 124091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**4 - 4*z**3 - 2*z**2 - 4*z. Let k(i) = i**4 - 9*i**3 - 5*i**2 - 9*i. Let w(n) = 4*k(n) - 9*y(n). What is the third derivative of w(m) wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52854.\nAnswer: 2, 3, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 + -3. Suppose -l - 11 = -p, p - 5*l = -2*p + s. Suppose 2*f = -3*f + 5. Calculate the smallest common multiple of f and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3048 divided by -60\nAnswer: 254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.001*127.469.\nAnswer: -0.127469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -31147, -31215, -31295, -31393, -31515?\n\"Answer: -w**3 - 61*w - 31085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2414213040 (base 5) to base 4\nAnswer: -111123100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + sqrt(228)*1*5 + sqrt(228)) - sqrt(228))\/(sqrt(432) + sqrt(432)*2).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -57 at most as big as 138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*h**3 + 618*h**4 - 10*h**2 - 2*h**2 - 291*h**4 - 322*h**4 in the form a*h + r*h**3 + d*h**2 + l*h**4 + y and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -9\/7*w**7 - 1 + 0*w**2 + 0*w**4 + 0*w**5 + 2*w**3 + 0*w + 0*w**6. Find the third derivative of y(x) wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 120*z**2 + 3*z + 354. Calculate o(-120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -5*p + p. Let w = 22 - p. Suppose 7*y - 54 = 5*y. Solve 2*s = m + w, -3*m - m - y = -5*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3483571496.\nAnswer: 2, 17761, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.2 + 0.2. Let a = -2 + c. Sort 2, 0.3, a in descending order.\nAnswer: 2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + 3)*3.\nAnswer: 9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 994\/3 + -332. What is the nearest to -0.1 in 1, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c - 2. Let d(j) = -j + 2. Let i(q) = -9*q + 10. Let y(z) = -6*d(z) + i(z). What is -3*a(k) + 4*y(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-30))\/(12\/15 + -1). Suppose 2*a = -a. Let m = 0 - 1. Sort a, w, m in decreasing order.\nAnswer: a, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 698100 is divided by 62?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-50 - -47 - (-1 - 13) - 19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46007502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1461531238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2856939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 2:44 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40202182?\nAnswer: 2, 20101091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 6*b**2 - 4*b - 1. Let x be p(-5). Let n(d) be the third derivative of -d**4\/24 - 5*d**3\/6 - 27622*d**2 + 2. What is n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(sqrt(45)*-2))**2 + -5 + 3 + sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(11)*2)).\nAnswer: -61\/36 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(130)*-3*-1)\/(sqrt(40)\/(sqrt(4)*-1*-3))*2.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0.2. Let i = -0.2 + m. Let s = 141 + -139. What is the second biggest value in 3, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 1229757.\nAnswer: 1229757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((4025\/(-20))\/(-5) - 3)*-4. Let y = -72 - z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of 23*p**2\/2 - 240*p + 177. Calculate the lowest common multiple of 8 and l(23).\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-175)\/(-2*70\/20)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 219296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-64)\/(-80))\/((-4)\/10)*3)\/(-3). Solve l*o - 7*r = -11*r - 2, o - r - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-996)\/(-2241) - 92\/(-36). Let y be ((-4)\/(-5))\/(6\/45). Solve y = -k*g + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22656 and 199302.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17826*w**3 + 17*w - 17*w + 17796*w**3.\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h = -16*h - 87 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2091 a factor of 2379558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 16\/491  (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 2:59 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 121\/3 - (-2)\/2*(-11)\/33. Solve 0 = -13*j + 5*j - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.16863 and 0.05.\nAnswer: 0.21863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 952117298 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**3 - 17*c**2 + 7*c + 69. Let m(u) = -u**3 - 18*u**2 + 4*u + 84. Let j be m(-18). What is the tens digit of d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/11)\/(f\/f**(-4\/5)))\/(f*f**(-2\/11)*f*(f\/f**0)\/f))\/((f\/(f**(2\/7)\/f)*f)**(-27))**(-5) assuming f is positive.\nAnswer: f**(-12958\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -405 - -407. What is the third biggest value in -1\/13, 2\/15, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y + 1. Let w(d) = 28*d + 14. What is l(w(i))?\nAnswer: -112*i - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, e: 4, u: 8, o: 1, f: 3}. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14593617, 14593618, 14593619, 14593620, 14593621, 14593622?\nAnswer: 14593623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of 55*p**6\/6 + 10*p**2 + 2. What is the second derivative of k(q) wrt q?\nAnswer: 1100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 16, -4*z - 233568*d - 233562*d + 467127*d = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 - 10*f + 3. What is o(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5755, -11492, -17219, -22930, -28619, -34280?\nAnswer: -39907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37888247 take away -0.2?\nAnswer: 37888247.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1629 times 0.033155?\nAnswer: 0.0054009495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187094896.\nAnswer: 2, 2287, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 11*g + 25. Let q(c) = 28*c + 64. Let p(x) = 13*f(x) - 5*q(x). Let h(l) = 16*l + 28. Let m = 4 - 9. Give m*h(j) + 28*p(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -6*g**2 - 71*g + 14. Let y be i(-12). What is the highest common factor of y and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 28*p**2 - 114*p + 4. Suppose 2*i - i = -40. Let s = -29 - i. What is the remainder when v(23) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 87\/5 of a minute?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6032692931279 minus 0.3?\nAnswer: 6032692931278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -7. Let v(b) = -b**2 + 0*b**g + 386 + 7*b - 394. Calculate v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**4\/8 + 2*v**2. Let w(s) = -17*s + 30. Let t(f) = -17*f + 45. Let z(a) = -2*t(a) + 3*w(a). Determine z(q(r)).\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2. Let v(z) = 40*z**2. Calculate j(v(d)).\nAnswer: 1600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3\/4 - 12*p**2 - 3*p\/4 + 12.\nAnswer: 3*(p - 16)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 738b (base 12) to base 2\nAnswer: 11000101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (50 - (-13 + 30)) - 18\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.7093 + 0.13.\nAnswer: 6.8393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000967455212 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 41*s + 348. Calculate x(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6290.219266 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4732160?\nAnswer: 2, 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1126955 and 1315.\nAnswer: 1126955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4\/7 - 320*v**3\/7 + 23400*v**2 - 12844000*v\/7 + 302087500\/7.\nAnswer: -4*(v - 65)**3*(v + 275)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -4. Suppose p*u + 66 = 3*u. Suppose 3*s = -3*g - 0*g + 33, -3*g - 5*s = -33. What is the highest common divisor of u and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 31 = -7. Suppose 5*g - 2*r = -i*r + 85, -2*g - 2*r = -40. Suppose 5*s - 69 = -2*n + g, -s = -4*n + 146. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*4*(1*sqrt(162) + -4))**2.\nAnswer: -1152*sqrt(2) + 2848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -73\/170 + 9\/17. Let u = -12\/29 + 118\/145. Which is the closest to 0?  (a) u  (b) s  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9049, 18102, 27149, 36190?\n\"Answer: -3*o**2 + 9062*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43 - 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*b - 0*b. Differentiate -b*o - 3 + 0 + 6 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 + 65 = 13*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/16 + (-5235)\/(-10)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 992666 is divided by 492.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7720 - 7722. Which is the second biggest value?  (a) 0.2435  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x + 7. Let q be z(-13). Let a = 10 + q. Suppose 5*p = a*p + 127. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*c + 351 = 0, 3*a + 2*c - 150 = a. Let f = -24 + a. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/34*(-2)\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 5, -0.29391, -0.4?\nAnswer: -0.29391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l**2 - 2*l - 18. Let v(h) be the third derivative of h**5\/60 + h**4\/24 + 17*h**3\/6 - 2*h**2 + 7. Let p(y) = -3*v(y) - 2*x(y). What is p(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 - -32.5. Let l = 7 + -6.6. Let x = l + -0.5. Put -0.3, m, x in decreasing order.\nAnswer: x, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1 + sqrt(1377)*1 - ((-1*sqrt(68))**2 - (-1 + sqrt(1700))).\nAnswer: -65 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*v**3 + 54522*v**2 - 31240*v - 10?\nAnswer: 24*v + 109044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6567.\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 14. Let l be j(-11). Suppose 5*t + l = -22. Sort t, -1, 0 in increasing order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*q + 7 = -9*q, -3*q = 4*g - 74. Solve 4*r = 2*w + 14, -5*w = -4*r - 0*r + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 84, 30538 in descending order.\nAnswer: 30538, 84, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (11 + -20 + 8)\/(-2 + 3). Let n(q) = q - 3. Let p be n(4). Let y = 0 - p. Which is the closest to o?  (a) -2\/9  (b) 3\/4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f**2 - 8*f + 6. Let k(p) = 25*p**2 - 7 - 44*p**2 + 25*p**2 + 4*p + 5*p. Determine 6*k(s) + 7*r(s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8864 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of 0 + 4\/3*b**3 - 1\/12*b**4 - 5*b**2 + 0*b. Calculate q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 0) + (-1 - 6) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140*q**3 - q**2*s**2 - q**2*s - 4489*q**2 - 13*q*s**2 + 29*q + 2311*s**2 wrt q?\nAnswer: -840*q - 2*s**2 - 2*s - 8978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 1)*(4*k + 6 - 6)*(-3*k**4 + 5*k**4 - 3*k**4) - 130*k**4 + 130*k**4 + 3*k**5.\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 79, 170, 271, 388, 527, 694, 895, 1136?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.1  (c) -222  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 647712 and 2374944.\nAnswer: 7124832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -0.1, -0.2, 336?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 3*b - 5*b)*(-6*b - 10*b - 10*b + 1 - 1 - 6*b - b - 3 + 3 + (0 + 0 + 2*b)*(2 - 2 - 1)).\nAnswer: 175*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 12*t + 40. Let z(p) = -9 + 8*p**2 - 3*p**2 - 2*p**2 - 7*p + 3 + p**3. Determine z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0 + (3 + 2 - 3)*(0 - 1 + 3) - 2 + 0 + 4)*(889*d**5 + 386 - 196 - 188).\nAnswer: 7112*d**5 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, m: 2, r: 2, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i**2 + 4*i - 5. Let l be d(-4). Suppose 99*u + 336 = 123*u. Solve 4*k + w = -u, 3*k + l - 5 = 5*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92874, 185745, 278616, 371487, 464358, 557229?\nAnswer: 650100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -355 + 366 + 2 + (-17 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, h: 1, c: 7}. What is prob of picking 2 r and 1 c?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 4*q**2 + 7)*(-5*q + 2*q + 0*q - 3*q - 4*q + 2*q + (1 - 1 + 2*q)*(-2 + 1 - 2) - 2*q + q - q).\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pit when three letters picked without replacement from {t: 1, z: 2, p: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54 + -32. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in sixty-one halves of a microgram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**6\/180 - u**3\/2 - u**2. Let q(s) be the first derivative of n(s). Let t(l) = 2*l**2. What is q(t(z))?\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 59.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 225, 356, 487, 618, 749, 880?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1027456 and 2208?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10 - 6*c + c - 525*c**2 + 535*c**2 + 5*c**3.\nAnswer: 5*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r - 2. Let c(j) = 2. Let g(a) = -a - 7. Let z(q) = -6*c(q) - 2*g(q). Calculate -3*f(o) - 4*z(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -21, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 13 + 4 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1870 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 16*l + 0*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.59  (b) 0  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + -3)*8\/3. Let t(r) = -j - 2*r + 6 + 2. Let m(n) = 2*n - 2. Let u(w) = 6*w - 7. Let o(x) = 7*m(x) - 2*u(x). Calculate o(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i + 2*i + 0*i - 2*i + 2*i - i + (2*i - i + i)*(-1 + 1 + 2) - 3*i + 0*i + 4*i + 212*i + 701*i + 1507*i.\nAnswer: 2426*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 10:56 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 0 + 0 - y + 1 - 1 + 4*y - y - 4*y + (-1 - 2 + 2)*(-2 + y + 2) + y + y - 4*y)*(-211*y + 199*y + 119*y - 2).\nAnswer: -214*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - y - 1. Let s(g) = 11*g**2 + 9 - 1278*g + 642*g + 644*g. Determine -18*i(o) - 2*s(o).\nAnswer: -4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2\/7  (b) -1946\/3  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - h**2 - h. Let i(q) = -3*q**3 - 4*q**2 + 2*q + 6. Let c(b) = 8*b**3 + 11*b**2 - 6*b - 17. Let r(j) = -6*c(j) - 17*i(j). Give -6*n(s) - 3*r(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -1) + (2 - 11) - -49.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xldxddxlxltxfftgldxt. Give prob of sequence tttf.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -1) + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4070\/(-1358))\/1 - -3. Let x = p + -30587\/10864. Find the common denominator of (-193)\/(-130) - ((-24)\/(-15) - 2) and x.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a*c*q**3 + 2*a*c*q - a*q**3 - 5*a + 20*c**2 - c + 18*q**3 wrt c.\nAnswer: 3*a*q**3 + 2*a*q + 40*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.09 and -26308.7394094.\nAnswer: -26308.8294094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 102*j**2 + 4. Let l be n(-2). Suppose -2*a = -g + 141, 3*g - 3*a = -8*a + l. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8*(3 - -3)\/6. Let b = h - -45. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -3*y + 2*y - 8, 0 = -3*y. Let m be (-2)\/(2\/3) - c. Let o(u) = u**3 + 5*u**2 - u - 1. Let j be o(m). Solve -j*d + 3*d + 8 = -5*b, 8 = -4*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -10. Let u = -4 + 7. What is the third biggest value in -0.1, u, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.1 + -10.2. Round r to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1372*i*k*r*x + 135*i*k - i*x + 35*i + k*x + k - 2*r*x - r - 5*x with respect to x.\nAnswer: -1372*i*k*r - i + k - 2*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 149883725 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 3\/14, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293, -143, 95, 421, 835, 1337?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 12 = -5*g, 4*h - 21 - 7 = 5*g. Factor 4*u**3 + 4*u**2 - 12*u**2 - h + 25*u - 2*u**3 - 15*u - 2.\nAnswer: 2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4048*d**2 - 24112*d - 1054. Give j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or 2.648734?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggzzmszzz. Give prob of picking 1 g and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2630649\/136 + 19343. Does -3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 10626, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, -0.98, 4, 14.4, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 223174139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 42 = 5*w, -w + z - 3*z = -11. Let t(l) = 57*l - 186. What is the tens digit of t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.04851 - 2.95149. What is the closest to -0.5 in -0.3, d, 0, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/4740 and -37\/13757850?\nAnswer: 27515700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 4 = -b + 5*b, -3*b - 4*c - 22 = 0. Let i be (6\/(-7))\/(b + (-15)\/(-7)). Let l(j) = -16*j - 12. What is the tens digit of l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = 5*k - 513. Let m = -123 + k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 7:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 4 = 3*b + 8, -5*o = 3*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1122*n - 78772 = 468*n + 107*n - 1129*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a6811 (base 12) to base 15.\nAnswer: -141094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -6*f**3 - 156*f**2 - 26. Calculate d(-26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-4\/9)*u**2\/u)\/(u**(-8)\/(u*u**(-9))) assuming u is positive.\nAnswer: u**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/288 and -145\/33936.\nAnswer: 203616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 2*y + 849 - 867, y - 309 = -77*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.09529 and 3.26.\nAnswer: 3.16471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**4\/3 + 616*h**3 + 122956*h**2\/3 = 0.\nAnswer: -59, 0, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**5\/4 - z**4\/4 + 17*z**3\/4 - 15*z**2\/4 = 0. Calculate z.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 97\/970*(-15)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 796, 827, 880, 955, 1052, 1171, 1312?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 803*i**3 - 26803*i**2 - 34*i + 2245849?\nAnswer: 4818*i - 53606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*((((((((w*w**(-1\/16))\/w)\/w*w)\/w)\/w)\/w)\/w)\/w)\/w)\/w**(-1\/7))**(12\/11))**(-28\/9) assuming w is positive.\nAnswer: w**(551\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 0*z + 72. Let f(h) = -5*h - 28. Let m(u) = 19*u + 111. Let t(i) = 9*f(i) + 2*m(i). What is the remainder when t(z) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36180, 36064, 35950, 35838, 35728, 35620?\nAnswer: 35514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*k**2\/2 + 10687*k\/4 - 7161\/2.\nAnswer: (k + 154)*(70*k - 93)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u - 5*l - 10, 5*l - 2 = -3*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -0*k - 299760. Let v be (k\/525)\/((-4)\/10). Let u = v - 349. Calculate the common denominator of -52\/11 and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 9965286?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.7 - -1. Let f = z + -2.3. Which is the biggest value?  (a) -4  (b) f  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from mzmmemzmzemmz.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 20.3. Which is the closest to 0?  (a) 2\/5  (b) 6.6  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -366, 0.5, -2, -0.51811?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*g**3 - 371*g**3 + 92*g**3 + 92*g**3 + 89*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 2, 3, -3\/21641?\nAnswer: -3\/21641","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**2 + 4*q + 268. Calculate the remainder when j(30) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -12.13. Let z = 0.817 - j. Let q = -0.0530124 - z. What is q rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*t = 87*t - 12. Suppose 5*p + 4*i - 3 - 38 = 0, 4*p - t = 2*i. Suppose 0 = q + q - 8. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + -0.1. Let q = -327 + 336. Suppose -54 = q*s + 9*s. Sort y, 2, s, 2\/7 in ascending order.\nAnswer: s, y, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a + 13e?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 317291368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1336844208*w**2 + 13140*w + 6642.\nAnswer: -2673688416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-5)*(-4)\/6. What is the third biggest value in i, 2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39939652*o + 31706781.\nAnswer: 39939652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 66\/30)\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -997\/12 + 333\/4. Which is the second biggest value?  (a) -7  (b) -1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -99. Calculate the least common multiple of 21 and l.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2586 + 494. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*c - 117 = -27. Solve 11 = 2*f + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75 + 82. Let m = -138541122 + 138541278.999866. Let h = m - q. Round h to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 18925335\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 5, s: 2, i: 2, b: 1, v: 2, w: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 1 = -t, 14*t + 3 = -3*f + 16*t. Is (18 - f)*(-25 + 30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*m + 47*m + 41*m.\nAnswer: 119*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2170 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -18. Suppose -2 = 4*t + g. Let o = 5 - t. Solve 0 = 3*c + 2*j - 3, -4*c - 3*j - 1 = -o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 7*h**2 - 7*h + 7. Let l be r(-6). Calculate the highest common factor of 247 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 75 and 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/20*(-1 - -2). What is the third biggest value in -6, g, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 10751340*d - 5779565589780.\nAnswer: -5*(d - 1075134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -20*n**2 + 1922*n - 272. Give b(96).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 323601319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126 divided by -7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17456 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 216137459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 10*y**2 - 168*y - 35. What is the tens digit of s(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/4)\/((-5)\/(-4) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -147 + 150. Sort -6, m, -0.2, -2.\nAnswer: -6, -2, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 1. Let z(t) = -1 + r + t - 4. Let f(w) = 1. Suppose -3*j - 29 = 4*i, -j - 13 = -10*i + 12*i. Calculate i*f(q) - z(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -44182667\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence va when two letters picked without replacement from {a: 2, v: 18}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2*x = 2650, -p - 19*x - 530 = -18*x. Let c = -526 - p. What is the closest to -1 in 5\/2, 2, c, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -6, 4\/7, -0.5, 1\/4 in descending order.\nAnswer: 4\/7, 1\/4, -0.5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*602100.\nAnswer: 1204200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -200 + 310. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.69743181 to 3 decimal places.\nAnswer: -1.697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/6*(-2 - 28). Suppose -5*l + u = -145. Suppose -l = -n + i, -3*n + 102 = -i + 3*i. Calculate the greatest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 9534*t = 9529*t - 2, t = -5*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*f**3 - 2254111 + 2254111.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.5  (b) -4  (c) 0.1  (d) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002608 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.0731*3\nAnswer: -0.2193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -331000 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -137920 - 28?\nAnswer: -137948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93358756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 58 and 366821.\nAnswer: 733642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 446608069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 101. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -0.3  (c) -285\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 13. Does 3 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 6:32 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**2\/7 + 306*r\/7 + 909\/7 = 0.\nAnswer: -303, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101597013?\nAnswer: 3, 7, 31, 52021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -28 - 53. Let r = 38 + n. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a millennium in years?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -26 + 0*d - d**2 + 5 - 15*d + d. Let y be w(-12). Suppose -2*l - 2*b = l - 448, -2*l + 302 = y*b. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/4))**3\/((o**(5\/4)*o)\/(o*(((o**(-2)*o)\/o)\/o)\/o))*o**(-1\/4)*(o*(o**(4\/5)\/o)\/o*o*o)\/o*(o*o**(-3\/11))\/o**0 assuming o is positive.\nAnswer: o**(-379\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2 = -t. Suppose 8 = t*h, 0 = 2*j - 8*h + 3*h + 14. Determine u, given that -5*u**j + 0*u**4 + 4*u**4 + 16*u**2 - 2*u**3 + 23*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 32*b - 2 - 1565*b.\nAnswer: -1597*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 63*o**2 + 6*o - 1. What is the tens digit of z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216995 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6675 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 0.23  (c) 2  (d) 1\/25  (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16528040021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1034420 (base 7) to base 14\nAnswer: -34110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -394899\/31912 - 3\/7978. What is the common denominator of (-50)\/(-2) + 2\/4 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159255.\nAnswer: 3, 5, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 23 + -14 + -18 + 61?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 15) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 22 - 68 = 0. What is the derivative of -14 + 0*p**2 - 17 + o*p**2 wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 1\/3  (c) -5  (d) -2\/7  (e) -7.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/10 - 1\/10. Let t = 281.3 + -281.8. What is the fourth smallest value in t, 0.5, 0, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c + 132 - 51*c**3 + 53*c**3 - 3*c - 2*c + c**2 in the form o + k*c**2 + h*c**3 + a*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*d**3 - 1001*d + 250*d + 248*d + 253*d + 244*d.\nAnswer: -19*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, -33, -160, -359, -636, -997?\n\"Answer: -w**3 - 27*w**2 + 27*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*o**3 + 433*o**2 - 436*o**2 - 3*o**4 + 5*o**4 in the form d*o**3 + p*o**4 + b*o + n*o**2 + k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -87859 - -157092. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 275909.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89667327 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -232?  (a) 0.1  (b) 6  (c) -303\/8  (d) -3  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (177\/(-4012))\/((-1)\/4).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 8*y**2 + 8*y + 7. What is the hundreds digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/14*-2 + 0. Is 1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 0 - (0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1669633 less than -10?\nAnswer: -1669643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -111610 in decreasing order.\nAnswer: 2, 0, -111610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*l + 51 + 48 + 46 + 52*l - 138.\nAnswer: -101*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 181359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 19. Suppose v*p - 23915 = 26*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 11*r**7\/42 - r**6\/15 - 10*r**4\/3 + r**2\/2 - 93*r. What is the third derivative of l(a) wrt a?\nAnswer: 660*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-58) + 141168\/11832)*2\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -5d257?\nAnswer: -5d252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 260 + -257. Let l(s) = -8*s**2 - 145*s + f*s**3 - 143*s + 293*s. Let t(n) = n**3 - 3*n**2 + 2*n. Let b = 0 - -3. Calculate b*l(v) - 8*t(v).\nAnswer: v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/30 + (44268\/11520)\/31. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2594777, -2594815, -2594853, -2594891?\n\"Answer: -38*b - 2594739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 8*d**2 + 32*d - 8. What is w(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1863 + 12*i - 3*i - 2741.\nAnswer: 9*i - 878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 52373.52974 rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9191747 to the power of 1\/2, to the nearest integer?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/(-8)*2*8. Suppose 6 = -3*l, -5*d - 2*l - v = -6*d. Solve -3*n + d = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*k + 46 + 31. Suppose 70 = -0*m + k*m. Calculate the least common multiple of m and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -4)\/3 - -1. Suppose -4*v = -r*v - 10. Suppose -4*o + 2 = 6, 4*l + v*o - 115 = 0. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, k: 2, m: 1, v: 1, d: 3, r: 3}. Give prob of sequence rkmr.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 0.4, -2, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 4*x. Suppose 0 = p - 1, 5*o - 10*p + 15*p - 50 = x. What is the remainder when 40 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-72)\/10)\/((-748)\/(-935)) - -8. Let i be 6\/9 - (-11)\/(-3). Put q, i, -10 in ascending order.\nAnswer: -10, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(((-231)\/14)\/(-11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7833 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2 + 5 + -2 + (-27)\/24 and -99\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2)**(-32\/9)\/(l*l**(-4\/9)*l\/l**(-1\/6)) assuming l is positive.\nAnswer: l**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 14*h**3 - 75*h**2 + 8*h + 93. Give m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-115)\/138*30\/(-350)*21\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 11:45 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 1 - (-35)\/5. Let l = 15 + z. Solve 2 = -5*a + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2280 or 61534\/27?\nAnswer: 61534\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -41. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -384046.961 - -383558. Let i = 489 + w. Which is the third smallest value?  (a) -5  (b) i  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7975, 7967, 7901, 7747, 7475, 7055, 6457?\nAnswer: 5651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**4\/12 - 2*l**3\/3 - l**2\/2 - 2*l. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 times -47.178?\nAnswer: -3821.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/624*21\/(-5)*2. Let d = -363\/130 - x. Find the common denominator of d and 1612\/224 - (-27)\/63.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9988117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4897\/1484 + -3\/212. Let o = -281587914137869\/24115 - -11676878043. Let p = o + 2\/3445. What is the common denominator of x and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of f**6\/8 + 3*f**5\/20 - 3*f**4\/16 - f**3\/4 - 7. Factor p(y).\nAnswer: 3*y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -39*t - 33. What is p(1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -74.9277917 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r = -6*r - 10. Suppose 39 + 439 = r*n. What are the prime factors of n?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppiiiigrbpbpbpbg. Give prob of sequence brbg.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 0*k**3 - 3\/5*k**5 - 40*k + 0*k**4 + 2 - 57\/2*k**2. What is the derivative of x(u) wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40\/12 - (-3)\/(-9). Solve 0 = 4*z + 1 + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/215  (b) -1\/5  (c) -0.048  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**6\/5 - 9*u**5\/5 + 3*u**4\/2 + 3*u**3 - 12*u**2\/5 + 15. Find f, given that i(f) = 0.\nAnswer: -8, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*r - 5*v, -6 = -3*r - 19*v + 20*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 + -18. Sort -5, w, 0.\nAnswer: -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81043806 divided by 465769?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 - 101. Let d = 30 + i. Put 2, d, -2, -4 in decreasing order.\nAnswer: 2, -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**4\/12 + d. Suppose 39*w - 35*w = 100. Let o(n) = -76*n + 36*n + w*n. Calculate v(o(m)).\nAnswer: 225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 2 - 5*l**2 + l**4 + l**2 to q*l**2 + a + n*l + b*l**4 + s*l**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1cb066 (base 14) to base 2.\nAnswer: -11111011001111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y - 2*y = -946. Calculate the remainder when y is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(264)\/(sqrt(11) + sqrt(99)*-6))\/(sqrt(48)*-2 + sqrt(240)\/sqrt(5))*5.\nAnswer: 15*sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 1. Let i(g) = -3*g - 4. Let y(t) = -8*c(t) + 3*i(t). Let r be y(-6). Is r\/((2\/2)\/31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1219916051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -29*k. Let m(j) = 27*j**2 + 39*j**2 - 7*j**2 + 33*j**2. Calculate m(w(y)).\nAnswer: 77372*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55 - 220. Let w be s\/(-22) - (-2)\/(-4). Let l(t) = t**3 - 7*t**2 + t - 5. Calculate l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -f**5\/60 - 13*f**4\/24 + 2*f**3 - 14*f**2. Let v be m(-14). Is (3*v\/(-12))\/(2\/764) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*y - 9*y**2 + y**2 - 13*y**2 + 39*y**2 to b*y**2 + p + a*y and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 r when four letters picked without replacement from rmrrmrrrrrmmrrrrmr.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7422 - -7436. Solve v*b - 8 - 34 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 196*x**2 - 1380*x + 289. Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -183?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -17*s - 10. Suppose 3*h = b + 4*h - 15, 42 = 2*b - h. Calculate the remainder when n(-5) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199512 is divided by 1935?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 178012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 355 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*z - 120 + 9*z - 73 + 73*z + 193.\nAnswer: 62*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -4*n - 5, n - 3*m + 15 = -0*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76 - 74. Let o(g) = 2*g**2 + 3*g + 2. Let q be o(-2). Suppose -2716 = -4*y - q*i, z*y - i - 4*i - 1344 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*g + 254881 = -54527. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7406819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 1\/2, 14, 0.04, -643?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = s + 15. Let o be ((-53)\/s)\/((-3)\/9). Let x = o + 443\/8. What is the common denominator of x and 77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/18 - (-33)\/(-18). Which is the second biggest value?  (a) j  (b) 0.1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*l**2 - 4*l + 4*l)*(2 - 3 + 6)*(-2*l**2 - 3*l**2 - 6*l**2).\nAnswer: -495*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-25 + 1)*1\/34. Let b = k + 103\/170. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24\/(-228) - 59\/(-19). Suppose -p - 10*v + 194 = -9*v, q*p = 2*v + 572. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.236 + -0.06. Let b = 6.824 + f. Put b, -0.2, 1 in ascending order.\nAnswer: -0.2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 103 and -777912762.\nAnswer: -777912659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1949480 and 23920.\nAnswer: 3898960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 97956 and 294749604?\nAnswer: 294749604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8598?\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**3 + 355*r**2 - 15379*r - 4097. Calculate y(-152).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182881?\nAnswer: 199, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 7*q**3 + 5*q)*(-q + 2*q + q)*(2*q - 6*q - 2*q).\nAnswer: -84*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 3*c - 2*t = -10, 2*c + t = 7. Let d(l) = -3*l + 10. Let g be d(c). Is g less than or equal to -11\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3080168891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1392 = -68. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r + 16*r**2 - 21*r**2 - 29*r**2.\nAnswer: -34*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 129*b - 2. Calculate c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6499444103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006390193 to six decimal places.\nAnswer: -0.000639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 165804691.5ns to weeks.\nAnswer: 0.00000027414796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 9) + (-26 + 50 - 22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -3)\/((-10)\/15). Let v be (-1)\/10*22 - i. What is the closest to -1 in v, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -7*n**3 + 3*n**2 + 3*n + 29. List the prime factors of u(-5).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -319 - -322. Calculate the remainder when 505 is divided by 50 + 2\/i*24\/16.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278564 is divided by 336.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 11:59 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9, -4, 5, 18, 35, 56, 81?\n\"Answer: 2*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/22 + 1770\/(-2596)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that s**2 - 2*s - 3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ugguguggggugggug. Give prob of sequence uuug.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 1\/4*m**4 - 54*m - 1\/20*m**5 - 1\/6*m**3 + 0 + 3\/2*m**2. Give l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 44*c + 2736. Calculate f(-34).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -54 + 2b?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -221.79881 rounded to 1 dp?\nAnswer: -221.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 PM and 7:41 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 805\nAnswer: -805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 - 3 + 2*f**3 + 3*f**2 + f + f**2. Suppose 2*g = -0*g - 5*z - 31, 3*g - 2*z - 1 = 0. List the prime factors of h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3670, -19895, -63928, -149671, -291026, -501895?\n\"Answer: -2317*s**3 - 2*s**2 - 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 21.5101953 milliseconds?\nAnswer: 0.00000024896059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*x + 3458 = 20*x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -9*c + 29, -87 = -1461*c + 1456*c + 3*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 767, 622, 385, 56, -365, -878?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -184873*t - 184872*t + 369748*t - 2*t**3 + 3*t**2 - 13. Determine a(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -15. Solve -3*q = -5*p + 2*q + 5, p = -4*q - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -14*k**3 + 84598*k**2 - 60416*k - 24168 = 0.\nAnswer: -2\/7, 1, 6042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000111 (base 2) in base 6?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1345, -2691, -4049, -5425, -6825, -8255, -9721, -11229?\nAnswer: -12785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 440 = -2*s + 3*s. What is the common denominator of 1524\/s + 2\/5 and 8\/14 - (-56425)\/(-28490)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.2 - 49.2. Let v = d + 85. Let w = v - 41.9999979. What is w rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002041666 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (110\/345)\/((-10)\/9) + 318\/3657.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 869557\/39980 - -2\/9995. Let b be (-1363)\/(-237) - 1\/(-4). Let v = b + -33\/79. Find the common denominator of m and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -42, 5, 27, 2 in descending order.\nAnswer: 27, 5, 2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -579083.\nAnswer: 2\/579083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-69)\/(-9) - (-6)\/(-9). Let p = i - 4. What is the tens digit of (3\/3 - p)*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9519453m in millimeters?\nAnswer: 951.9453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4.169*849\nAnswer: 3539.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000125415968 rounded to 6 dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 345, 307, 233, 123, -23?\n\"Answer: -18*a**2 + 16*a + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 4*i**2 + 5*i - 5. Let f be j(-5). Let c be 2*4\/((-2)\/(-1)). Let y be ((-1)\/f)\/(c\/(-8)). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 4*a - 9*a. Let o = a + 11. Solve 13 - 5 = -2*c + h, 0 = -3*c - o*h - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69.87 - -12.17. Let d = n + 58. What is the third biggest value in -0.4, 0.5, d, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5190, 10382, 15574, 20766, 25958?\nAnswer: 31150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -w**5\/30 - 4*w**2. Let b(k) = -11*k + 2. Let m(y) = -177*y + 33. Let r(n) = 99*b(n) - 6*m(n). Calculate h(r(x)).\nAnswer: -1458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 343478.9 micrometers in kilometers?\nAnswer: 0.0003434789","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -7*g - 15. Let w be b(-3). Suppose 12 - 24 = -w*p. Let u(h) = -40*h**2 + 122*h**p - 37*h**2 - 44*h**2. Let q(y) = -2*y + 57. Determine q(u(t)).\nAnswer: -2*t**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47 - -32. Sort 1, -2, p in descending order.\nAnswer: 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 11400*n + 381820.\nAnswer: 5*(n + 34)*(n + 2246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o + 2. Let w be j(-6). What is the greatest common divisor of w and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 422*(8 + 0) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13393, -26682, -39831, -52834, -65685, -78378, -90907, -103266?\nAnswer: -115449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c**5 - 37685*c**4 - 63674215*c**3 + 27633570005*c**2 - 2702957958600*c + 2675388100500 = 0.\nAnswer: -3954, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 7:53 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 8037 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-24)\/(-16)*-3)\/((-51)\/221*-13))\/150.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3311798759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = w - 54. Let g = w + -22. Let i(a) = -2*a**2 + 2. Let d(u) = u**2 - 1. Let c(q) = g*i(q) + 5*d(q). Factor c(m).\nAnswer: -5*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + -3 + 5 + 26. Let u = 90 - p. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjht when four letters picked without replacement from jhthtwttjw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**3 - 28*s**2 - 1287*s - 282. Calculate m(26).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -15*n**2 + 120*n. What is g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001096 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 560.12184 minutes?\nAnswer: 0.3889735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, h: 1, s: 1, n: 1}. Give prob of sequence hni.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 12*r**2 - 9*r + 4. What is the remainder when f(11) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 10*h - 8. Let w(n) = -n**3 + 11*n**2 - 8*n - 12. Let o be w(10). Let a be r(o). Calculate the greatest common divisor of 56 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1561 in 2\/11, 14, 1\/5, 11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2507, -19755, -66563, -157709, -307971, -532127, -844955?\nAnswer: -1261233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 9*y**2 + 13*y + 8. Let h be j(-8). Let v = -22 - h. Solve 8*r - 3*r + v = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -996.000401 + 996. What is f rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 690 = 28*w - 913, 4*q + 36 = 5*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1199000 to the nearest 10000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 2:20 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*o + 2*o + 0*o)*(-2 + 2 - 3*o) + 2*o**2 + o**2 - 5*o**2 + (o - 5*o + 2*o)*(2*o - 2*o - 2*o))*(-34698*o**2 - 1287*o**3 + 34698*o**2).\nAnswer: -6435*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, p: 3, u: 6, q: 2, n: 2}. Give prob of sequence pnnp.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*o - 63*o + 163*o - 54*o + 10 - 10.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -797899*x**3 + 1199567*x**2 wrt x?\nAnswer: -4787394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/1*(-13)\/208*6. Let s(b) be the third derivative of 0*b**3 + 0 - w*b**4 + 0*b + 15*b**2. Let l(a) = 2*a. Calculate l(s(i)).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36258205 rounded to four dps?\nAnswer: 0.3626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*d**2 + 3 + 81*d**3 + 78*d**2 - 3 + 0 - 63*d**2.\nAnswer: 81*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -47 - -51. Calculate the remainder when 33 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-27)\/18)\/(3\/(-4)). What is the hundreds digit of (3 + -4)\/(j\/(-244))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125*u - 598 = -21*u + 424 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -735, -732, -729, -726?\n\"Answer: 3*x - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-5)*(30\/24)\/(6\/(-96)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 5:51 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.06 - 1.12. Let z = r - -0.06. Let j = 159 - 158. Which is the nearest to j?  (a) -0.5  (b) 3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3704 + 3570.68. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -10*n**3 + 22*n**2 - 2*n + 3. Let j be w(1). Let g(o) = -10*o**3 - 9*o + 5. Let m(b) = -21*b**3 - 19*b + 11. Calculate j*g(l) - 6*m(l).\nAnswer: -4*l**3 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010010010100101101 (base 2) in base 7?\nAnswer: -22143456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 71*q. Let d(y) = -y - 438 + 875 - 437. Determine d(j(c)).\nAnswer: -71*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71902?\nAnswer: 2, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 0. Let i = 0.0437 + 0.9563. What is the nearest to i in 0.4, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9653.311mg to grams.\nAnswer: 9.653311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -36b + -366?\nAnswer: -6d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 614*t = 619*t + 9797, -9789 = -2*v - 3*t. What are the prime factors of v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209656727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - c - 2*c + 4*c + 0*c + (4 - 3 + 0)*(-2 + 2 + 2*c))*(5*c - 4*c + 0*c)*(-114 + 262 + 123)*(2 - 2 + 2*c).\nAnswer: 1626*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 8:07 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 9*m - 25*m + 11*m - 45, -2*m + 4*a = 18 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480481 is divided by 2214.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4534584 divided by 5\nAnswer: -4534584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*b**2 - b**2 - 3*b**2)*(-12*b - 3*b - b) to i*b**2 + a*b + d + m*b**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127 + 30*r - 46 - 49 - 32.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(363))**2*6 - (-5 + -5*(sqrt(3) - (sqrt(27) + -4))).\nAnswer: -10*sqrt(3) + 19627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 42655477*k. Let g(z) = 2*z**2. Calculate y(g(i)).\nAnswer: 85310954*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - -4) + -8 - (-11 + 6 + 47).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.93 + -1. Let g = 3.07 + u. Let c = 3.1 - g. Which is bigger: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -245 - -147. Let n = q + 112. What is the greatest common factor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228000860 to the power of 1\/2, to the nearest integer?\nAnswer: 15100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 1271, 2\/7 in descending order.\nAnswer: 1271, 3, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -372*v + 374*v. Solve 4*t = -2*r - 3*r - 36, -4*r + 4 = -v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 18 = -2. Let d(z) = 3*z - 5. Suppose -22 = -5*h - 2, 3*a = 2*h + 7. Calculate the remainder when d(m) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 310, 308, 306, 304, 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2661, 2635, 2571, 2451, 2257, 1971, 1575?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = l, 231*m - 3*l - 94 = 226*m. Let h = -0.3 - 0.1. Which is the second smallest value?  (a) m  (b) 1\/3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, h: 2, a: 4}. Give prob of sequence hxah.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2899127 by -23.\nAnswer: -126049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121995 (base 12) to base 5.\nAnswer: -33342231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 5 - 3)*(3*d - d - 4*d)*(16 + 1 + 7)*(1 - 5 + 1).\nAnswer: -576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4867, 4680, 4467, 4216, 3915?\nAnswer: 3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.42 + 0.02. Let k = 0.05 + 3.95. Let z = k + -2. Sort 1, z, g.\nAnswer: g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 1)\/(-2)*2\/(-10). What is the second biggest value in 24, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338435460 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 11. Suppose h + 4 = -v. Let u = h + 16. What is the greatest common factor of u and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 6 = -2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 + -4 + 16\/(3 - -1). Suppose -d + 13 = 4*f. Suppose 4*n - 3*s - 5444 = -6*s, 4*s = -f*n + 2722. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 2. Let x be u(-2). Let y be 1*(-1 - 1)*-2. Suppose -x*r - y = -m, -2*m - 2*r - 3 = -11. Solve 3*q - 9 = m*p, q + 5*p + 16 = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**5\/2 + 191*a**4\/4 - 1947*a**3\/4 + 5445*a**2\/4 + 9317*a\/4.\nAnswer: -a*(a - 11)**3*(6*a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11148678 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 0.092  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*n**5 - 3*c**3*n**2 + 45*c**2*n**2 + 2*c*n**2 - 25960*n**6 - 2 wrt n?\nAnswer: 60*c**3*n**2 - 3115200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m**3 + 2*m**2 + 5. Let d(h) = 6*h**3 - 4*h**2 - 9. Let p(u) = -6*d(u) - 11*n(u). Let a be p(-1). Calculate the highest common factor of a and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21766831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i - 17. Let c be f(-14). Sort 0, 2\/9, c in increasing order.\nAnswer: c, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*q - 38*q**2 - 114*q + 145*q**2 - 47*q**2 - 56*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*f - 5*a = 163, 0 = f + 2*a - 31. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 245*w + 70. Let h(x) = 33*x + 26. Let z(b) = -b - 3. Let t(i) = -h(i) - 6*z(i). Let a(d) = -4*r(d) - 35*t(d). Let n(m) = 4*m**2. Determine n(a(k)).\nAnswer: 4900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3449822633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1564*(75\/(-1584))\/5. Let s = 162\/11 - f. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 3*n = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11153759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**2 + 2*r - 4. Let x be p(-3). Let l(z) = -z**2 + 7*z + 10. Let g be l(x). Let m be 1\/g*(-8)\/20. Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -5.3. Let g = -15.2973 - -17.2973. Is g >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 9 - 2)*(-a - 3*a + a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3027 is divided by 270.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6991.25 centuries in decades?\nAnswer: 69912.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 436.9538 - 437. Let h = o - -0.3462. Which is the nearest to -0.2?  (a) 1\/6  (b) h  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -152.4, 0.1, 3\/2, 13, 0.2 in increasing order.\nAnswer: -152.4, -4, 0.1, 0.2, 3\/2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177 + 157 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**0)**(2\/119)\/(p*p\/p**(-1)*p)**(1\/2) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 107d + 14?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -47\/3 < 18\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 8 - 0, 0 = 4*v - t + 240. Let a = -21 - -32. Let p = a - v. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t = 26184 + 44520. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00703041 to 5 dps.\nAnswer: -0.00703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of 133*y**4\/24 + 55*y**3\/3 + 173*y**2. What is the derivative of z(i) wrt i?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4\/5 + s**3\/5 + s**2\/5 - s\/5.\nAnswer: -s*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(88)*2 - -4*(sqrt(88)*-5 - sqrt(88)))\/(6*(sqrt(800) - (2*sqrt(800) + sqrt(800) + sqrt(800) + sqrt(800)))*2).\nAnswer: 3*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1228 and -11?\nAnswer: 13508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(1\/7)*g*g*g\/((g**6*g)\/g))**20\/((g**(-1)*g)**(-5\/13)\/(g\/g**1)**7) assuming g is positive.\nAnswer: g**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -107*g**3*j**2 + 6*g**2*j**2 - g*j**2 + 5*g wrt g?\nAnswer: -642*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*27\/43524*26?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 + -5527.\nAnswer: -5527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 2.4256?\nAnswer: 1.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 59*g**2 + 319*g - 49. Calculate the remainder when 561 is divided by n(53).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 times 86144\nAnswer: 1809024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/3*2\/(-1). Suppose f*k + 18 = -5*v, 0 = -2*v - 5*k + 2*k - 5. What is the nearest to v in -1, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -349, -355, -371, -403, -457, -539, -655?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 2. Let a be u(-1). Suppose 3*t - 16 - 5 = 0. Let i = -2 + t. Sort 4, a, i in decreasing order.\nAnswer: i, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 6:04 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005397591 to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 + 167991 + 2*k**3 - 167991 + k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -12559*u - 23. Let t be a(3). Round t to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 4*y + 1, -2 = 5*y + 39*o - 40*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1717423 to the power of 1\/2, to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3567532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64 and 184.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 60320033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**2\/(w\/w**4*w)*(w*w*w*w**(-3\/4))\/w**7*(w**0\/(w\/(w*w**(-2\/13)*w*w*w*w)))\/(w**(-6)\/(w**(2\/11)\/w*w)) assuming w is positive.\nAnswer: w**(5307\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 292050778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 11410026 (base 7) to base 2\nAnswer: 11110110110010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/12 and 27\/17800.\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x**3 - 8*x**2 - 11*x + 46. Let u be l(6). Let y = 615 - u. What are the prime factors of y?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*i**2 + 6*i**4 - 5*i**4 + 0*i**4 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 + f**2)*(f - f + 2*f) + 24 - 19*f**3 + 15*f**3 + 2*f + 5*f**3 in the form v*f**2 + t + a*f**3 + j*f and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q**2. Let k(a) = 11*a - 4. Calculate t(k(x)).\nAnswer: -363*x**2 + 264*x - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t + 8*t - 8800 = 0. What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.94275274 rounded to 3 decimal places?\nAnswer: -0.943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18788.6l to millilitres.\nAnswer: 18788600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5703445 to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 82383 = -2*r, -4*r - 2*d = -980 - 163774. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from obbhbbbebbehbbhhtuhb. What is prob of picking 1 t and 1 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 7*l**3 - 11*l**2 - 4*l. Suppose -2*s + 47 = -5*n, 0*n + 4*n + 5*s + 64 = 0. Let x(a) = 4*a**3 - 6*a**2 - 2*a. Determine n*x(i) + 6*r(i).\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 107, 256, 407, 560, 715?\n\"Answer: j**2 + 146*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 6 - 8. Let k be 0\/(0 - j)*(43 - 42). Solve k = -2*p - 4*z - 16, 6*p - p + 22 = -z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - 1 - -3 - -4. Let g(v) = 0*v + 6 + 0*v**o + v**3 - 1 - 5*v**2 + 4*v. Determine g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.7373 + -15.4.\nAnswer: -11.6627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252343.\nAnswer: 7, 13, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 2*f - 81138 = 8*i - 81104, -2*i = f - 17 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*l**2\/7 - 44468*l\/7 + 7451712\/7.\nAnswer: 2*(l - 1522)*(13*l - 2448)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -81, -88, -77, -42?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence suhu when four letters picked without replacement from ppppphpsmpspwuwpus.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -152119, 33, -2, 4 in increasing order.\nAnswer: -152119, -3, -2, 0, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = 17*m - 13. Put -4, 17, m, 5 in increasing order.\nAnswer: -4, m, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 230*g**2 - 413*g + 9758. Calculate z(-228).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rpgriel. What is prob of picking 1 e, 1 r, 1 i, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -67. Suppose 48 = -r*m + 64*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 5. Suppose -2*x = -2*c + 22, 0*c - 34 = 3*x - 4*c. What is the common denominator of (-146)\/x*(-10)\/s and -7\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -652*h - p - 12 = -650*h, 0 = -2*h - 3*p - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 26 + 14. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5049 by -11.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 116*h + 48. What is the units digit of z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 24 = -2*w. Let f(j) = -j - 31. Let u(p) = -30. Let i(l) = 4*f(l) - 5*u(l). Let x be i(6). Solve -x*n - w + 0 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + y - 3)*(-907*y - 3*y**2 + 1681*y - 868*y).\nAnswer: -3*y**3 - 94*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*d**2 + 48*d**2 - 70*d**2 - d**3.\nAnswer: -d**3 - 119*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 2:53 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -39 + p + 93 - 56. Calculate q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -6. Suppose -3*o - 2*d = 29, -4*o = -2*o + 3*d + 26. Let k = o + 13. What is the highest common divisor of k and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 3 + 0 - 4) + 49 + -34.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 - 2*c + 5)*(-132 - 191 - 15) to z + i*c and give i.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, o: 10, y: 6}. What is prob of sequence sy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195985 = 4*p - 5*m, 0*p + 4*p + 5*m = 196015. Round p to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -1.22  (c) -5\/402  (d) 8\/5  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 855425244 to the nearest integer?\nAnswer: 29248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 19*x + 7. Let k = -96 - -90. Let i(j) = 20*j + 8. Let u(a) = k*l(a) + 5*i(a). Let g(p) = p. Determine u(g(f)).\nAnswer: -14*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4190, 5736, 7164, 8414, 9426, 10140?\nAnswer: 10496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 4*i - 333, -5*o + 1696 = -3*i + 82. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -3. Suppose d*t - 2 = 8. Suppose -16 = -4*i + 4*w, -3*w - 204 = 5*i - 216. What is the smallest common multiple of i and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -538194 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -24890, -24969, -25060, -25169, -25302, -25465?\n\"Answer: -o**3 - 72*o - 24817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cjccjcjjjjjjcjzcjc. What is prob of picking 3 c and 1 j?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -8. Let j = 15 + a. Let v = -17.953 + j. What is v rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80854112 divided by -295088.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -3*j - 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -111 and -112 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q + 6. Let p be c(3). Suppose 2*t - 50 = -p*t. Solve 4*x + t = 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -1)\/((-1)\/3). Suppose -5*j - 2*j = -28. Solve a*x + j = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -6*r - 93. Suppose -4*a + 3*g + 1008 = -r*g, -4*a + 1008 = g. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s**3 - 10139*s + 10139*s + 0*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39*o**4 - 3*o**3 + 10747*o**2 + 1056*o + 1102.\nAnswer: -468*o**2 - 18*o + 21494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 38*f + 1.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 142 and 42458.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/2)\/(1\/2). Suppose -4*j + 5 = 1. Suppose t - v + p = 0, j = -4*t + 5*v - 8. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -501, -818, -1341, -2064, -2981, -4086, -5373, -6836?\nAnswer: -8469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*t = 7*t - 171, -175 = 5*w - 5*t. Let c = 14 - w. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -1) + -11 + 29 + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6400 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 13, 7, -7 in decreasing order.\nAnswer: 13, 7, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (93\/((-64449)\/66))\/(4\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -39. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208)*5 - (-1 + sqrt(13) + 1).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n + 8. Suppose n*i = -433 - 763. Calculate the remainder when 2\/(-11) - i\/22 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**(-1\/14)*r**(-3\/11) assuming r is positive.\nAnswer: r**(123\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -720, -727, -734, -741, -748?\n\"Answer: -7*z - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53671911.\nAnswer: 3, 41, 436357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1 = -2*g, -g = -4*y + 3*y. Which is the closest to -0.1?  (a) -20  (b) y  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 - -15. Solve 0 = -2*q + 1 + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 w, and 1 x when three letters picked without replacement from bpiwspbpwwpbxbbpsps.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/6)\/((-26)\/(-39)). Is a at most as big as -2\/999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 2*o + 65, -10*o - 3*v - 115 = -5*o. Is -19 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 9204*m + 365. Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86175413 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 220398492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 16229, 33531, 50833, 68135, 85437, 102739?\n\"Answer: 17302*f - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 4.7. Let z = 0.03 + -0.13. Let k = p + z. Put k, 1\/4, -3 in decreasing order.\nAnswer: 1\/4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, y: 7, f: 2}. What is prob of picking 1 f, 1 z, and 1 y?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -9, 4, 19, 36?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - -7)*(-63)\/49*(-34)\/9. Calculate the greatest common factor of 18938 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 11:47 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222 = -2*c - 220 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 7 + (-5 - 11) - (-1 + 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**3 - y**3 + y**3 + 4*y**3 - 4*y**3 + 3*y**3 + (2*y**3 - 4*y + 4*y)*(-1 + 0 + 0) + 0*y**3 + 3*y**3 - y**3 + 24*y**3 - 30*y**3 - 34*y**3.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d + 0 - 7 + d**3 - 6*d + 6*d**2 + 2*d. Let p be b(-6). Let k = -303 + 303. Put p, 5, k in increasing order.\nAnswer: p, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 110 = -3*z + 32, -3*w = -5*z + 232. Let m = -71 + z. Let v = 24 + m. Are v and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1361 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**3 + 27215418*y**2 + 54430827*y + 27215412 = 0.\nAnswer: -9071804, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + (-1)\/(-3))*(-43 - -46). Suppose 4*c + p*t + 84 = t, -c - 8 = 4*t. Let f = 21 + c. Sort 5, f, 0 in decreasing order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362011.\nAnswer: 13, 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j. Let c(d) = 4. Let t(f) = -f**2 - 5. Let z(a) = 5*c(a) + 4*t(a). Determine b(z(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-20)\/(-25)*(-10)\/(-4). Let m(i) be the second derivative of 2*i + 0*i**3 + 0*i**t + 1\/12*i**4 + 0. Let w(v) = 3*v**2. What is m(w(q))?\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 495638824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17267, -34524, -51783, -69044, -86307, -103572?\n\"Answer: -t**2 - 17254*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29473 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -325 by 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = l - 2*v + 5*v, -3*l - 3 = -3*v. Let f be 14\/3*(-372)\/(-217). Solve 5 = -f*s + l*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40039787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0028 + -209.9972. Let r = -208.07 - j. Round r to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of i**8\/1344 - 3*i**7\/280 + 13*i**6\/240 - i**5\/10 + 109*i**2. Let h(g) = 0. What is g?\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8788 by -2197.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 226*d - 228*d + 0 - 5*d**3 - 2 to the form a*d + s*d**3 + z*d**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1098999?\nAnswer: 3, 11, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/(-21))\/(4\/(-14)). Let u(f) = 2*f - 7 + s*f - 3*f + 0*f. Give u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 154 - 42 = 0. Suppose -250*c + i = -248*c. Calculate the greatest common factor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 390*d**2 + 383*d**2 - 1278*d**2 + 492*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 17*b + 9. Let r be f(-16). Let o = 26 - r. Solve l - 3*v = -o, 0 = -3*l + v - 0*v - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1213 + 1044 + 169 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 12:08 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**5 - 1088*y**4 - 52928*y**3 - 833728*y**2 - 4932928*y - 6936832 = 0. What is y?\nAnswer: -14, -2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 46170 = -4*f - 0*f, -3*s + 57710 = 5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -c**4\/12 - 481*c**2. Let b(x) = -87*x + 1. Determine h(b(m)).\nAnswer: 174*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-604)\/(-10))\/(6\/70530). Suppose c - 16 = 3*m, 0 = -m - 0*c + c - 4. Let q be t + m\/9*3. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, n: 2, l: 1, v: 1, s: 1, o: 1}. Give prob of sequence nh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.01 - 0.29. Let w = 0.2 + 1.4. Let q = w - -0.4. Which is the closest to -2\/7?  (a) i  (b) q  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - s + 8, -7 + 0 = y - 2*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than 11580.1?\nAnswer: 11580.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -123304322 - 2030?\nAnswer: -123310352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 35, -34, 4, -5, -3 in decreasing order.\nAnswer: 35, 4, 3, -3, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cs when two letters picked without replacement from sscsc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 - 4. Let k(o) = 27*o. Determine k(x(t)).\nAnswer: 54*t**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8441092, -4, -4\/5, -2\/9 in increasing order.\nAnswer: -4, -4\/5, -2\/9, 8441092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-357)\/6*(1 - 3). Let r = -64 + t. What is the units digit of r\/4 + (-15)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 6*s + 15. Let b be d(0). Suppose -b*c + 264 = 9*c. Solve -3*y + 3*o - 1 = c, 0 = -2*y + 5*o - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.31 - -0.19. Let l = 6 - t. Put -1\/3, l, 0 in descending order.\nAnswer: l, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000224495471 rounded to seven decimal places?\nAnswer: -0.0002245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -540297.3 and -27.64?\nAnswer: 540269.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - j - 1)*(1 - 2 + 2) + (375 - 2277 + 75)*(2*j - 3*j + 0*j).\nAnswer: 1826*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 2*x**2 - 2*x + 1. Let m be q(-2). Let n = 6 + -6. Let a(l) = n*l + 2*l - l - 2*l + 7. Calculate a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, c: 2, k: 8, f: 2, q: 2}. What is prob of sequence bk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -15459.965 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w + 5. Let u be a(-4). Let m(z) = -z**3 + 10*z**2 + 24*z + 4. Let j be m(12). Are j and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**3 - 4*g**2 + 4*g**2 - g**3 - g + g + (g + 3*g - 3*g)*(-g**2 + 0*g**2 + 3*g**2) + g**3 - 2*g**3 + 2*g**3 + 0*g**3 + 4*g**3 + g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + j + 11 = 8, -6 = 4*c + 3*j + 8 - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 144  (b) 5  (c) -13\/9  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (sqrt(80) + 1 - sqrt(5))**2) + sqrt(5) + -2)*3 - (0 + sqrt(125) + sqrt(5) + 0 + -2)*3.\nAnswer: -138 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -937 + 1463?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1235\/33859 - 3\/691. Let f(w) = 1737*w - 6947. Let b be f(4). Does k = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 545190 - -7811275. Let d = u + -5056465. Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 at least as big as 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(8\/(-963))*60\/(-45). Suppose -2*d + 267 = 5*u, -5*d + 0*d + v = 4*u. Is 126 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**2 - 7*b - 3. Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**3\/5 + 4*n**2\/5 + 8*n + 48\/5 = 0. Calculate n.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 4  (c) 2\/3  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 0 + 0)*(3406*t**3 + 2423*t**3 - 9057*t**3) + 0*t**4 + 0*t**4 + t**4.\nAnswer: 3229*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 5*y + 4. Let m = 3516 + -3513. Let k = 0 + 3. Suppose -2*z = k*i + 6, -z - m = i - 2*i. Determine g(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1*sqrt(1400) - sqrt(1400))\/(-1*sqrt(200) + sqrt(2)))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20 and -759?\nAnswer: 15180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 m when three letters picked without replacement from mmoqqmxmmoooqm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.623 + -0.107. What is the third biggest value in j, -1, 6, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + -61317263?\nAnswer: -61317261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 3844*c**3 - 76925880*c**2 - 4962972*c - 80048 = 0.\nAnswer: -1\/31, 20012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -19*z + 7. List the prime factors of r(-4).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + -4 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/2 - (-1458)\/(58 - -23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 4144\/146711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -5*a**3 - 16*a**2 - 7*a + 19. Let s be 6\/30 - (-128)\/10. Let b(o) = 11*o**3 + 33*o**2 + 15*o - 39. Let x(n) = s*c(n) + 6*b(n). Calculate x(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/12*6 + (-189 - -150).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00013673 to 6 decimal places.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 17793991 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1049895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/50)\/(((-140)\/(-42))\/5*(-6)\/940).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = -5*f - 42. Let t = f - -42. What is the third smallest value in t, 5, -0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3. Let v(z) = z**2 + 1. Let c be (1\/3)\/((-1)\/(-3)). Let b(s) = c*y(s) + 3*v(s). Let w(q) be the first derivative of q**3\/3 + 2. Give w(b(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/79349 - -5713198\/2777215. Calculate the common denominator of 5 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 10:37 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1012 and 16744?\nAnswer: 184184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 36*b**2 - 18*b**2 + 254*b + 5*b**2 - 254*b. Let j(d) = -2*d**2 - 10*d. Let p(l) = -l. Let g(f) = -j(f) + 10*p(f). Calculate g(a(k)).\nAnswer: 1058*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -5.3. Let l = 0.23 + -1.23. Suppose -3 = 3*d + 9. Which is the third smallest value?  (a) o  (b) d  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + v - 1. Let o(u) = 7*u**2 - 22*u + 2. Let h(a) = -3*c(a) - o(a). Let t be h(5). Let m = -2 + 3. What is the closest to 0 in t, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - z)*(-1 + 3 - 6) - z + 3*z - 3*z + 2*z + 7*z + 9*z + (5 - 8 - 7)*(0 - 3 + 2)*(z - z - z) in the form t*z + m and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 6. Let y = -168.9 + 169. Which is the second biggest value?  (a) d  (b) y  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from harsrwawsrthtr. What is prob of sequence rr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29830261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 3:49 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4550063.\nAnswer: 7, 19, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -912 + 582. What is s rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25 - 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 9:33 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.0016 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 7*p**2 + 10*p - 9. Let b(k) = -5 + 2 + 4 + 7*k. What is the remainder when l(6) is divided by b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -5*q + 3, 63*a - q - 27 = 36*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-76)\/(-16) + 0)*14336\/2688. Factor -4*z**3 + 20\/3 + a*z**2 - 28*z.\nAnswer: -4*(z - 5)*(z - 1)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from obblorlbblbbbobrlgb. What is prob of picking 2 r and 2 b?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -13. Let t(m) = m**2 + 8*m + 5. Let w be t(-8). Suppose -f = w*d - 27, 7 = d - 0*f + f. Solve -2*r + d*r = k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 10 = 7*y + 5*b, -y - 10 = -3*b. Let f(j) = -2*j**3 - 21*j**2 - 12*j - 68. Let r be f(y). Is -46 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 128, 500 in descending order.\nAnswer: 500, 128, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from mmanamkjjkxn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2\/3 - 2260541*d\/3 - 565135\/3.\nAnswer: -(d + 565135)*(4*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 3*b**2\/2 + 5*b - 1. Determine c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6063 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39348 + -39354. Sort -2, -8, 1\/3, -3, s.\nAnswer: -8, s, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7385, 15902, 25547, 36314, 48197, 61190, 75287, 90482?\n\"Answer: -m**3 + 570*m**2 + 6814*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 748952495 and 8.\nAnswer: 748952503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 34\/34*(-1)\/(-60). Let i(o) be the third derivative of 0 + 0*o**3 - d*o**5 - 2*o**2 + 0*o + 0*o**4. Let x(q) = -8*q. Calculate x(i(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1760)\/(-7) - 3\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + o**2 + 88. Let w be t(0). Let f be (41\/574)\/((-1)\/(-4)) - (-152)\/7. Calculate the greatest common divisor of w and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -7*r**2 - 5*r. Let b(g) = 8*g**2 + 6*g. Let f(a) = 5*b(a) + 6*d(a). Let w be 0*((-20)\/(-8))\/(-5). Let n(l) = w - 5*l - 5 + 5. Give f(n(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 663.9961km to millimeters.\nAnswer: 663996100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2934 - -5243. Suppose l = 14*x - 7085. Suppose 4*h - 3*u = x, 4*h - 641 = -6*u + 3*u. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 52*l - 52*l + 56 = -7*z - 112*l, 2*l = -4*z - 36 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 624 + -569.9. Let r = 51 - h. Let d = r + 3.10000026. Round d to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(5 + (-3)\/1). Let v = -43 - -171\/4. Which is the nearest to -1\/4?  (a) y  (b) -2\/5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 12 = -0*o. Let q(l) be the first derivative of 2\/3*l**o + 0*l - 1\/4*l**4 - 1\/2*l**2 + 2. Factor q(a).\nAnswer: -a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.19112ns in seconds?\nAnswer: 0.00000002319112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -617, -13 in ascending order.\nAnswer: -617, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6085626 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (18 - 1) + -69 + 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 5*t + 2. Suppose -5*i + 12 + 18 = 0. Suppose w - 3*x - i = -x, -3*x - 19 = -4*w. Calculate the common denominator of n(w) and 43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -0*o + 5*o - 53, 30 = 2*o + 4*d. Let k = -7 + o. Let u = -8 + k. Let r(w) = -w - 8. Determine r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -5*r + 73, r - 35 = 4*c - 2*c. Let j = 42 + c. Solve j = -5*v, -5*t = -0*v - 2*v - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 780 and 1974180?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**3\/17 + 1132*t**2\/17 + 12646*t\/17 + 27696\/17 = 0.\nAnswer: -8, -3, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 84, 170, 256?\n\"Answer: 86*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -790, -5435, -16754, -37675, -71126, -120035, -187330, -275939?\nAnswer: -388790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1208 + -1207.93. What is the second smallest value in 2\/3, -7, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2976\/(-114) + (10 - 376\/38) - -5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-904)\/24)\/((-3)\/18). Suppose 0 = -2*h + h + i. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 34\/7 + (-31)\/(-217). Suppose d*o - 29*h + 32*h = -16, 4*o = 5*h - 35. Let c(b) = 4*b - 3. Let g(z) = 9*z - 7. What is o*c(j) + 2*g(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5, 8, 13, 20, 29, 40?\n\"Answer: n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*v - 1 + 1 - 24*v + 2 as x + g*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12019 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: Simplify (l**(2\/9))**39\/((l**(-3\/7)\/l)\/(l\/(l*(l*l**2)\/l))) assuming l is positive.\nAnswer: l**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2231166, 2231168, 2231172, 2231178, 2231186?\n\"Answer: s**2 - s + 2231166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -54 and -41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 151*o**2 + 919*o - 764. Let a be j(-151). What is a rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fkiv when four letters picked without replacement from {f: 2, k: 1, c: 4, v: 2, i: 1}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/4 and 49\/205808.\nAnswer: 205808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 4:25 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 23. Suppose -2*i - 3*v = -v - 96, -248 = -5*i + 3*v. Let w = i - z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1808 take away 47.0982?\nAnswer: -40.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -869887, -869872, -869849, -869818, -869779, -869732, -869677?\nAnswer: -869614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 1 + 5 + 0 - 3 - 4 + 1 + 1 - 3 + 3 + 2 + (-4 + 3 + 0)*(-3 + 6 - 1) + 0 - 1 + 2 + 3 - 1 + 0 + (4 + 0 + 3)*(0 + 4 - 5))*(-s + 5*s + 4*s).\nAnswer: -64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-10) - 8\/(120\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/((-54)\/((-675)\/(-25)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 2. Let g = 5 - -1. Let h = g - 10. Which is the biggest value?  (a) n  (b) h  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -2\/7, 10\/7, 0, -201?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -o**3\/2 - 210*o - 1. Let g(i) = -7*i + 31. Determine g(u(m)).\nAnswer: 21*m + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y + 4*y**2 + 0*y**2 - y**3 - 910 + 902 - 5*y**2 - 52*y**4 in the form a*y**4 + f*y**3 + m*y + z + r*y**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -13 - (-3 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4022?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1676 = -2*f + 3734. Let g = f - 1265. Is ((-4)\/5)\/((-18)\/g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214869655307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, e: 16}. What is prob of picking 1 p and 1 e?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -69*t**4 - 323*t**3 + 2*t**2 - t + 815686 wrt t?\nAnswer: -276*t**3 - 969*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 1413224?\nAnswer: 1413225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*q + 1 = 0, 0*q = s - q - 9. Suppose -s = 6*x - 19. Solve -x*r + 0 + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -66.95881.\nAnswer: -66.75881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of d**4\/4 - 8*d**3\/3 - 9*d**2\/2 - 45. Solve w(s) = 0 for s.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 48 = -2*s. Suppose -f - 318 = -7*f. What is the tens digit of (-8)\/s + f\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/5)\/((-9)\/(-60)). What is the remainder when 67 is divided by ((-46)\/4)\/((-4)\/k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**2\/2 + 211707*i + 423411\/2 = 0.\nAnswer: -141137, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 642567?\nAnswer: 3, 214189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -4 + (10 + -7 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 330.0000383 - 330. What is a rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*d + 23 = 5*w, 0 = 4*w - 16. Sort d, 5, 6, 1 in increasing order.\nAnswer: 1, d, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23236799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 223, 3231, 0.\nAnswer: -4, 0, 223, 3231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -3*s - 32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 411920 divided by -5.\nAnswer: -82384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 8*b - 18. What is the smallest common multiple of m(10) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*r + b - 96 = -b, 3*r + 5*b = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + 4 + sqrt(44) + 0 + -1 + -2 + 0).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -38*p - 120. Let s be (7\/(-28))\/(13\/156). Give t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 98233.51 millilitres?\nAnswer: 98.23351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (4\/24*12)\/((-4)\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 27 + 16 - 9*y - 5*y + 7*y + 6*y + 27*y**2. Calculate q(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x - 3*x - x + (1 - 3 + 1)*(-2*x - 1 + 1) + (4 - 3 - 3)*(1719*x - 1105*x - 942*x).\nAnswer: 659*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -7763833\/6 bigger than -1293971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.254763 millilitres in litres?\nAnswer: 0.008254763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -120082848 by -40027616.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 1. Suppose -6 = -3*u, 3*i - 40 = -i - 4*u. Let a be -12 + i + (4 - 1). Sort 0, v, a in ascending order.\nAnswer: a, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3332*m*o**2*q - 2*m*o*q**2 + 2*m*o*q - 242*m*o - 10*m*q + 2538*o**2*q**2 + 171 wrt o.\nAnswer: -6664*m*q + 5076*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*f + 1190 = 205*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence agm when three letters picked without replacement from amgggmgamaa.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 2*s**2 - 2*s - 2. Let z(m) = -4*m**3 + 9*m**2 + 9*m + 9. Let c be (-2 - -4)*(-16 - -8). Let l be (-9)\/3 - (4 + c). Determine l*u(t) + 2*z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of -i**6\/240 - i**5\/36 - i**4\/36 + 2*i**3\/9 - 4*i**2. Let c(d) = 0. Calculate d.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, g: 4, r: 2, i: 5}. What is prob of picking 1 i, 1 s, and 1 r?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-303*r + 114*r - 214*r)*((-1 + 0 + 2)*(3 - 4 - 6) + 6 - 2 - 2).\nAnswer: 2015*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -5. Let h = -6 + o. Does 3 divide ((-1)\/h)\/((-4)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2\/41, 2\/7, -775862 in decreasing order.\nAnswer: 3, 2\/7, -2\/41, -775862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*s - 20 = 50*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0015 in 0.1, -0.04, 3, 84, -4\/9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65\/7 - 311\/35. Which is the second biggest value?  (a) 48  (b) g  (c) -0.3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -273, -545, -823, -1113, -1421?\n\"Answer: -z**3 + 3*z**2 - 274*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121 divided by -31.\nAnswer: -121\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - 12. Let i(v) = 9*v**2 - v - 2. What is the units digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 28*s**2 + 11*s - 362. What are the prime factors of g(-22)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-678)\/(-5) + 2\/5. Suppose v = -v + i. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 16*v**2. Let n(z) = -9*z. Calculate p(n(f)).\nAnswer: 1296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000839 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6331.5 - 6332. Put 2\/15, -1, j, 0.017 in increasing order.\nAnswer: -1, j, 0.017, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 1035*d. Let g(h) = -32*h - 29*h - 51*h + 105*h. Determine q(g(o)).\nAnswer: -7245*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, s: 7, z: 6}. What is prob of sequence zjsz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**5\/7 - 36*q**4\/7 - 68*q**3\/7 + 48*q**2 + 10*q - 300\/7 = 0?\nAnswer: -15, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5.7, 1\/2, -3, 147, -0.2, -7.4 in increasing order.\nAnswer: -7.4, -5.7, -3, -0.2, 1\/2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -124614 (base 7) to base 3\nAnswer: -1011221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3456192926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 0 - 12. Suppose -2*y = v*y - 85. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -129 + 136. Suppose -3*t = 5*b - 4, -h*t + 3*b - 2 = -9*t. What is the second smallest value in -0.1, t, 2\/3, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18686.371 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 3500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 e, and 1 z when four letters picked without replacement from {z: 1, c: 2, y: 1, n: 1, k: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 2*d - 442, 196 = 2*z - 5*d - 29. Suppose 0 = -2*v - l + 126, z = 3*v - l - 89. Let w = v + -39. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 2\/15  (b) 1\/4  (c) 5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1765 divided by -5.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - q - 65 = 0, 8*a - 3*a - 4*q = 50. Calculate the remainder when 6\/8*(16 + 20) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44*g**3*r**2 - 4*g**3*r + 62*g**3 + 128*g**2*r**2 + g - 139*r**2 wrt g?\nAnswer: -264*r**2 - 24*r + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -13*u**3 + 3*u**2 - 1. Let p be h(-2). Suppose -p = -3*a + 44. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 42 + 168*h**2 + 43 - 77. Let v(l) = 173*l**2 + 8. Let f(w) = -6*a(w) + 5*v(w). What is the first derivative of f(s) wrt s?\nAnswer: -286*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s. Let w(a) = -16*a. Calculate -11*d(z) + 2*w(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**4 - 6*b**4 + b**4 + (-17*b**3 - 625*b + 625*b)*(0 + 0 - 7*b) to the form l*b**3 + u*b**4 + k*b**2 + i*b + d and give u.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -1290, 3 in ascending order.\nAnswer: -1290, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 3*j - j + (3 + 5 - 6)*(-j + j + 2*j) + 5*j + j - 4*j)*(-1 - 3*j + j - 3*j) + (0 + 3 - 2)*(-2*j**2 + 4*j**2 + 0*j**2).\nAnswer: -43*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhlthhterlrhdrehlh. Give prob of picking 1 r, 1 h, and 1 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0851 and -480?\nAnswer: 40.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 6\/5  (b) -0.2  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 518 = 3*i + 38. Let a be (-2*1)\/1*-2. Suppose a*h - i = -4*h. What is the smallest common multiple of h and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**5 - 17432*h**4 + 434596*h**3 - 399736*h**2 - 434598*h + 417168 = 0.\nAnswer: -1, 1, 24, 8691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 703*c**6\/15 - c**5\/30 + 11*c**4\/24 + 2*c**3 + 139*c**2. Let u be b(-4). Round u to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2910097 and -20370670\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 964*j + 5233 = 518*j + 486*j + 1433 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 1, 5, 0, 5949 in descending order.\nAnswer: 5949, 14, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -3*y + 4. Suppose y = 4*b - 2*b. Suppose -g = -3*f - 21, -3*f = -b*g - f + 30. What is the highest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -11*v**2. Give u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -39*(-1 - -5)\/4. Let k = a + 72. Let q = k + -37. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.04 - -20. Which is the fourth biggest value?  (a) 3\/5  (b) 1\/8  (c) 1\/2  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -18. Let q be ((-2)\/(-4))\/(2\/8). Let m be 12\/(-34)*q\/6. Which is the nearest to o?  (a) 3  (b) -0.5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5324.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -16548  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22733842 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.05 + -1. Let k = r + -0.35. Let i = 0.48 - 1.48. Which is the nearest to i?  (a) 3\/4  (b) 2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 860799 times -15.6\nAnswer: -13428464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 14*j**2 + 16*j - 16. Let d(s) be the second derivative of s**4\/4 + s**3\/2 - 3*s**2\/2 + 112*s. Calculate 16*d(p) - 3*n(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 134327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - n - 75 = 0. Suppose n = k - 4*j, -2*k - 2*j = -147 + 47. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -3*w + 9 - 0, -5*m + 5 = -5*w. Suppose -3*u + d + 65 = 0, -3*u = -m*d - 15 - 42. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i**2. Let k(b) be the second derivative of b**5\/60 - 2*b**2 + 4*b. Let n(u) be the first derivative of k(u). Calculate n(c(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + p - 550 = 3*p, -4*p = -3*n + 548. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/8)\/(168\/112)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 26394*n**3 - 11*n**2 + n - 14. Let q be s(8). Suppose 5*f = -2*t - 57750010, f + 4*t = 1962998 - q. Round f to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47.418 + 0.482. Let v = 0.1 + a. Let x = -46 + v. What is the closest to x in 2, -0.6, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*i - 26 = 20*i - 61*i + h, 0 = 2*h + 10 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*w**4 + 5*w**3 - 43*w**2 + 2 wrt w.\nAnswer: -144*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -107 - -110. Suppose -4*n - 520 = -2*g, -616 = -3*g + d*n + 167. What are the prime factors of g?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p = -5 + 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84324 - -84324.2. Let z = -217\/408 + 8\/51. What is the third biggest value in z, i, -0.22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**5 + 10*h**3 + 2*h**2 + 979 wrt h.\nAnswer: 180*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**2. Let o(r) = 20141907*r**2. Determine h(o(q)).\nAnswer: -811392835193298*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19331, 10, 18 in decreasing order.\nAnswer: 18, 10, -19331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2409 greater than 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of 109 - 5\/2*z**2 + 37*z. Differentiate n(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -21 - (6 + 1) - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -12. Let h = q - 5. Let z be 0\/3 - (-16 + 0). Calculate the greatest common factor of z and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of g**6\/60 + g**3\/6 + 6*g**2. Differentiate t(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -37?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 3*y**2 + 5*y - 3. Let g = -83 - -81. Calculate the lowest common multiple of x(4) and (-2 - (1 - g))*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {p: 1, n: 1, x: 2, j: 2, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -51, -37, 583, 0 in increasing order.\nAnswer: -51, -37, 0, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 8*j**2 + 15*j + 23. Let b = 280 - 275. Let z(g) = 10*g**2 - 96 - 43*g**2 - 14 + 17 - 60*g. Let n(s) = b*z(s) + 21*v(s). Factor n(d).\nAnswer: 3*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 268997219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -w**8\/2352 - 2*w**7\/735 - w**6\/280 + w**5\/105 + w**4\/42 - 103*w**2 - 3*w. Find c such that i(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -6.02. Let y = k + 0.05. Suppose 8 = -2*q + 2. Sort y, -2\/9, q in decreasing order.\nAnswer: y, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooqq when four letters picked without replacement from qoqooq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 843267928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + l + 20*l**2 - 21 + 8 to q*l**2 + k*l + h and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/40890069 and -11\/148?\nAnswer: 163560276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-32 - -10) + 14 + 50 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*z = -0*u + 2, -4*u - 5*z = 2. Suppose 2*o = -5*t + 4 + 36, 0 = 3*t - u*o - 40. Solve -r = 4*r - t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 + 12. Let r = j - 14. Suppose 0 = -6*m - 209 + 959. Calculate the remainder when m is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.168025014 to 4 decimal places.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5304.12797 rounded to zero decimal places?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3620 divided by 905?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is bca268 - 0?\nAnswer: bca268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + w - 3. Calculate z(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - -3)\/(1\/2). What is h in h**5 + 4*h**4 - w*h**3 - 3*h**5 + 3*h - 3*h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.9482466us to days.\nAnswer: 0.0000000001845861875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 468809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.66 - -0.7. Round y to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1333447.\nAnswer: 577, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 3:45 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 2*j - 4, 6*f - f + 3*j - 5 = 0. Let t(h) be the first derivative of 7*h**4\/2 + 1. What is the least common multiple of 14 and t(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86111466613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -201354 + 50043?\nAnswer: -111311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1145 - -1140. Let b(p) = -p**3 - 5*p**2 + 4*p + 7. Determine b(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.1 + 1.6. Let k = -5.1 - z. Let c = 0.6 + k. What is the third biggest value in c, -1, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a**2 + 3*a + 1. Let w = -3 - -5. Let l(z) = -z - 1. Let j(o) = w*x(o) + 6*l(o). Differentiate j(b) with respect to b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27*3\/(-1)*-19*73\/(-1387)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 3*r + 3. Let n be 0 - (0 - (6 + -3)). Let a be j(n). Suppose 2*v = v + 5*q + 10, -28 = -v - 4*q. Solve a*m = -2*m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/6)\/(1\/12). Is (68\/k)\/(4\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/50)\/((-474)\/1580)*5\/(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*d + 48*d + 1040. Let x = 108 + d. Solve 6 = -k + 3*k - 2*l, 0 = 4*k + 4*l - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002455 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -32. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((-140)\/(-176)*294\/147).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 182.1736nm in millimeters?\nAnswer: 0.0001821736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o**2 + 3. Let k(d) = -22*d**2 - 14031 + 6*d**2 - 47*d**2 + 14079. Determine -2*k(x) + 33*l(x).\nAnswer: -6*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*c)*(-1 + 3 + 0) + 18*c + 1245 + 21*c - 40*c to the form t + w*c and give t.\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 548*c - 319*c + 812*c = 13726 - 39751 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(-1\/4))**(1\/4)\/(b**1\/(b*b*b**(-1\/6))))**(-2\/25))**(-6\/5) assuming b is positive.\nAnswer: b**(11\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4031367341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.03 + -12.3. What is g rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (621\/(-1863))\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 85900499 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.08 - 3.92. Let j = -1.984 - 0.016. What is the third biggest value in m, 1, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -7*x**3 + 106*x**2 - 7*x - 100. What is m(15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172391 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*f = -26*f + 3*f - 208. Solve 0 + 28\/5*h - 4\/5*h**f = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, v: 5, p: 4}. What is prob of picking 2 v and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*m + 302 - 99. Suppose k = -5*r - 55, 0*k + m = -2*r + k. Let u = 6116\/5 + -1225. Find the common denominator of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 303.3 + 46.4. Round z to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0 = -5*o - 2, -3 = -g. Let v(y) = -y**2 + y - 1. Let p(n) = -5*n**2 + 8*n - 3. Let x(c) = o*p(c) + 3*v(c). Is x(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*v + 32. Suppose -2*c = -5*t - 99, t - 27 = 2*t - 4*c. Let a = t - v. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1113.642 to the nearest 10.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 9*j - 98. Let u be (42\/j)\/((-16)\/(-14)). Let v = 3 + -2. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 2*b + 11 = 0, -b - 13 = 5*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 899000.34 rounded to the nearest 1000?\nAnswer: 899000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 34 - 6)*(28 + 5 - 64)*(5*x - 2*x - x) in the form n + g*x and give g.\nAnswer: 2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -4*c + 11. Let v be q(2). Suppose a + 3 = 4*j - 4, 12 = 4*j + 4*a. Solve j*d - v*d = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*n**3*z**3 + 14*n**3 + 4*n**2 - n*z**2 - 68*n + 7859*z**3 wrt z.\nAnswer: -42*n**3 + 47154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 + -63 + (-7 - (18 + -6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 + 115. Suppose -2*n + 12 = -0*n. Calculate the remainder when 833\/y + (-4)\/(-22) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 7 = 2*n, 3*n - 13*d - 46 + 88 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 31*g**2 - 59*g - 40. Determine s(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -445, -588, -715, -826, -921?\n\"Answer: 8*u**2 - 167*u - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 4*l**3\/5 + 176688*l**2\/5 + 7415408*l\/5 + 13839168 = 0.\nAnswer: -44130, -28, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1915 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/((sqrt(147) - (sqrt(147) - sqrt(147)*-1)) + sqrt(3)))**2 + 5.\nAnswer: 91\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75252569 is divided by 54969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 88800 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 v be 539\/11 + 4 + 1. Let x = -47 + v. Solve 4*t = -3*a + 5, t = 3*a + 27 - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 64482 and 0.14.\nAnswer: 9027.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 less than 4798673?\nAnswer: 4798269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.5. Let b(a) = a**3 + a**2 - 2*a - 8. Let p be b(0). Let l be p\/((-160)\/9)*(-5)\/(-3). Put z, l, -1 in decreasing order.\nAnswer: l, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 178*v**2 - 10*v - 185*v**2.\nAnswer: -7*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 16*m - 12. Let d be j(1). Which is the third smallest value?  (a) d  (b) -2  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 0, 3\/8, -513, 3 in ascending order.\nAnswer: -513, 0, 3\/8, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -37523 - 0.2\nAnswer: -37523.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2057778?\nAnswer: 2, 3, 53, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -112\/337, -5, -0.5, 15, 5 in descending order.\nAnswer: 15, 5, -112\/337, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138652 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*q - 24 = t, 2*t + 27 = 3*q. Let n be 2\/(-8) + (-87)\/(-12). Are q and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 4*k - 21 - 25, p + 3*k - 11 = 0. Suppose 11*b + 12 = p*b. What is the remainder when ((-66)\/12 + -3)*-2 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i - 2 + 319*i**2 - 938*i**2 - 3*i + 322*i**2 + 292*i**2.\nAnswer: -5*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxyxxxxyxxxyxyyxyx?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -257 or -1027\/4?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/6, 1, -90, -1\/2 in descending order.\nAnswer: 1, -1\/2, -5\/6, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4c0 (base 14) to base 11\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-22)\/(-1))\/((-4)\/10). What is the common denominator of -57\/4 and 6\/(-30) + (-126)\/a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/13, 1, -34\/7, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w + 0*w**3 - 6*w**3 - 5*w**2 + 7*w**3. Determine o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 6690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1300607 or -1300609?\nAnswer: -1300607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 443a (base 12) to base 16\nAnswer: 1d6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 793385.8 weeks to microseconds.\nAnswer: 479839731840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {v: 4, y: 6, r: 1, q: 1, g: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35235.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55524 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 13 = -3*b - 15, 10 = -13*r + 3*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.3071 centuries to decades.\nAnswer: 243.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000261003 rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 5*l + 25, 0 = -4*l - 5*w + 10*w + 21. Let v be 23050\/20*(-79)\/(-80). Let d = v - 1138. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/5, -3\/5, 1\/3, -21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -164836*d**3\/5 - 64960*d**2 + 9708*d\/5 - 72\/5.\nAnswer: -4*(d + 2)*(203*d - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*t = -5*z + 88, 10 = -5*t. Suppose -z = -5*n + 55. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.6 + 12.4. Let h = 6.6 - -8.8. Let r = z - h. Which is the second biggest value?  (a) r  (b) -4  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**16*l*l**(-5)\/l)\/((l\/l**34)\/(l*l*l\/(l\/(l\/(l*l*l**34))*l)*l)))**(1\/3) assuming l is positive.\nAnswer: l**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -6*n**2. Let q(y) = 3*y + 218. Determine b(q(u)).\nAnswer: -54*u**2 - 7848*u - 285144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*t = -0*t - 330. Let n be 5494\/(-28) + 3\/2. Let g = n - -195. Which is the closest to g?  (a) 0.1  (b) t  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 575550 to the nearest ten thousand.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 4. Suppose 0 = s - 0*s - o. What is the remainder when 19 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of -99*w**5\/20 + 3*w**4\/4 - 4*w**3 + 160*w. Find the third derivative of h(z) wrt z.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 + 3 = 4*t. Let y be 2\/(-7) - (-4)\/t. What are the prime factors of (2 + y)\/(4\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 32 = h. Let n be 9*h\/(-6)*-1. Suppose y = -4 + n. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302510639 a multiple of 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11199*d**2\/7 - 11280*d\/7 - 81\/7.\nAnswer: -3*(d + 1)*(3733*d + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 166771.65 months?\nAnswer: 138.976375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*g**2 + 0*g**2 - 2*g + g + 2*g**2 to the form c + w*g + n*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*r**3 + 80*r**3 - 32*r**3 + 4*r + 12*r - 16*r - 8*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43939 + 33*k - 43929 + 121*k)*(1 + 0 - 3)*(-4 - 1 - 2).\nAnswer: 2156*k + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -583378*b - 2. Let z(o) = -4*o + 6. What is z(k(j))?\nAnswer: 2333512*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 405234 and 405234.\nAnswer: 405234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 13242, 26775, 40308?\n\"Answer: 13533*f - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -339 divided by 113.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*b**5 + b**5 + 2*b**5 - 8*b**2 wrt b?\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-0.139971.\nAnswer: 0.559884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of (41609 - -11)\/10 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -29*q**2 - 7*q + 126. Let r(l) = 21*l**2 + 5*l - 125. What is 4*r(h) + 3*u(h)?\nAnswer: -3*h**2 - h - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llt when three letters picked without replacement from {s: 1, l: 3, b: 1, h: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 534 - 548. Let d be 2 - 34\/w - (-132)\/(-308). Suppose -15 + 3 = -4*x. Solve i - d = -x*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clzlmzg. Give prob of picking 1 c and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 17*t**3 - 48*t**2 + t. Determine r(-3).\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 10:31 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 5:24 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 12383?\nAnswer: 3714.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, d: 1, b: 3, r: 1, k: 1}. Give prob of picking 1 s, 1 d, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 49*k - 598540 + 93350. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-639))\/(((-32)\/168)\/(18\/63)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 2:49 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.827475ug to kilograms.\nAnswer: 0.000000006827475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f = 8*f - 24*f + 42 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j. Let r(v) be the third derivative of v**6\/360 + v**4\/6 + 2*v**2. Let x(w) be the second derivative of r(w). Give x(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -112*j - 453 + 789. Let f = 1 + -1. Determine g so that 8\/13*g**j + 2\/13*g + f + 8\/13*g**2 = 0.\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 91291089 and 4377?\nAnswer: 4377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 847646231.\nAnswer: 17, 401, 124343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 124 + -213. Let b = g - -32. Let c = b - -59. Solve 4*x + 4 = -2*h, -c*x = 4 - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131003 = -37*z - 16081. What are the prime factors of z?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2048407523 minus -2?\nAnswer: 2048407525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6 = j, 3*m - 10 = -2*j + j. Let d(n) = 2*n**2 - n - 2. Let v be d(-1). Sort v, j, -3 in descending order.\nAnswer: v, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*y - 438*y + 2070 = -128*y - 131*y for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*w**4 - w**2 + 2*w**2 + 2*w**4 - 169*w - 15*w**3 + 166*w to v*w + q*w**3 + t*w**2 + r*w**4 + f and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -o**4 - 523*o**3 + 3699*o**2 - 5825*o + 2650 = 0.\nAnswer: -530, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2053 (base 7) to base 12.\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 + 31. Suppose 4*v = -15 + k. Solve -6*x + v = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 614 - -163. Let n = 310 + p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11384909 is divided by 146.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - y + 1)*(2 - 5 + 2)*(26*y**4 - y**4 - 43*y**4).\nAnswer: -18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5499673 + 0.21\nAnswer: 5499673.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 467*w - 169822 = 426*w. List the prime factors of w.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2582*w - 46465. What is v(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 2\/11  (c) 1\/2  (d) 0.3  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*m + 143 = 0, o + 3*o + m = -120. Let a = o + -5. Let v = -25 - a. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 368563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 19 = -r + t, 4*r + 3*t + 33 = 0. Let o be (4\/2 + -3)\/r. Which is the third smallest value?  (a) 4  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63.65*-0.0548\nAnswer: -3.48802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2810 + 8918 - 100*u**2 + 195*u**2 - 232*u**3 - 93*u**2 wrt u.\nAnswer: -696*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 400 = 4*i, -2*i - 2*d = -d - 198. What is the remainder when i is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - (-17740)\/2415) + (0 - 3). Let q = b - 2\/161. Factor -q*f - 1\/2*f**2 + 1\/6.\nAnswer: -(f + 1)*(3*f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22941100 a multiple of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*s**3*z**2 + 9*s**3*z + 1964*s**3 wrt z.\nAnswer: -34*s**3*z + 9*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 914300.9nm in centimeters?\nAnswer: 0.09143009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -335 + 6200221?\nAnswer: 6166553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67684?\nAnswer: 2, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2337013?\nAnswer: 7, 563, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*y = 1812 - 1142 - 1120 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 71166 and 735?\nAnswer: 17435670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3096958452 + 13.9.\nAnswer: 3096958465.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 18.4861348 from -0.14.\nAnswer: -18.6261348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 25957 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4667 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**3 - 123*h**2 + 96*h - 25. Let m be v(24). Calculate the greatest common factor of 4 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, w: 1}. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18 + -1 - 3\/(-6)*6. Suppose -m + 5*m - g = 0. Solve 3*o - m = 8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 11. Differentiate 6*p - p - 2 + 3 - q*p wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 72  (c) -11  (d) -0.3  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 88, 118, 148?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 7158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qml when three letters picked without replacement from {m: 5, l: 5, d: 1, q: 9}.\nAnswer: 5\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 10*y**3 - 535*y**2 + 3485*y - 1610 = 0.\nAnswer: 1\/2, 7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.019923162 to six decimal places.\nAnswer: -0.019923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 947594, 947646, 947736, 947864, 948030?\nAnswer: 948234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -8*z + 16. Let r(b) = -b**2 - 9*b + 9. Let q be r(-11). Let m = -2 - q. What is the smallest common multiple of m and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -533, -486, -399, -266, -81, 162, 469, 846?\n\"Answer: r**3 + 14*r**2 - 2*r - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 2*d - 12. Suppose 3*q + 0 = -y - d, -5*y = 0. Let a = -6 - q. What is the smallest value in 0.5, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1645679 at least -16456789\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 96 divided by -2\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -675*j**3 + 6*j**2 - 6*j + 6. Let y(s) = -138376*s**3 + 1232*s**2 - 1232*s + 1232. Give 1232*u(i) - 6*y(i).\nAnswer: -1344*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 45960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/5, -7556, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + g - 7 = 0, 5*k - 4*g - 1159 + 1213 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*n = k - 30, 2*n - 8 = -k. Suppose -11*m + k*m + 217 = 0. What is the second derivative of 1227 + 41*l**2 - m*l - 1227 wrt l?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 - 4861\nAnswer: -4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10338 + 25568 = 1381*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*k - 1. Suppose -2*m + 4*n - 16 = 0, 25 = m + 5*n - 2. Solve 0 = 4*y + k*c - m, -2 = 4*y + 2*c - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 6*k**2 - k + 1. Calculate d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001534364 rounded to 5 dps?\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 7 = -v - 0*v, -8 = -5*k - 2*v. Suppose -5*p = -k*p - 39. Let j = -7 + p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 48\/10 + (-8)\/(-40). Suppose b + 3 = m + 11, 24 = i*b + 3*m. Let a(s) = -2*s**2 - 7 - 4*s + 3*s**2 + 4*s**2 - 6*s**2 + 2*s**2. Calculate a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11816822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-444)\/814 + 46\/(-77)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-1*sqrt(68)*1 + sqrt(68))\/sqrt(4))**2*2 + 3 + (sqrt(255)\/(sqrt(5)*-2))\/(1*sqrt(192)).\nAnswer: -sqrt(17)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 37b70 + c7?\nAnswer: 37c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -3, 4, 3\/8, -10, 2, 67, 0.22?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -9*c + 39. Let y be t(4). Suppose 2*n + 10 = 5*u, -y*n = u - 4 + 2. Find a such that a + 1\/3*a**u + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1334 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5301\/10 - -535. Calculate the common denominator of t and 70\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.93 - -3.07. Let x = -168 + 165. Which is the second biggest value?  (a) n  (b) -22  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 6*g - 2. Is a(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 0 + (2981 - 2998)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30311 (base 4) in base 5?\nAnswer: 11241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -151 + 5777. Calculate the highest common divisor of 58 and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 25*z**3 + 4*z**2 - 18*z - 21. Give u(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 8. Let m be z(10). Suppose 3 = -r - m*u + 32, 0 = 4*r + u - 102. Let i be (-10)\/(-25)*r*(-2)\/24. What is the third smallest value in -2, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 110550378 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 5. What is s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -2. Let t = a + 4. Solve 4*x + 4*q - 11 = -x, x = -t*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -52 + -5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1515 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 9, w: 1, m: 2, o: 1, g: 5}. What is prob of picking 3 g and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -197 or -196?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -307 in -1, 7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r + 15 = 13*r, 2*b + r = 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 627942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 676359 and 687.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -212 - -212.1. What is the nearest to -2\/7 in -3, 0.5, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 664*c - 687*c - 2843*c - 1012*c in the form z*c + g and give z.\nAnswer: -3878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 7, 3, 0.3 in descending order.\nAnswer: 27, 7, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9)\/(k**(-2\/7)\/k))\/(k**(-3\/10))**(10\/7))**20 assuming k is positive.\nAnswer: k**(-1020\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*n**3 + 2*n - 2*n)*(0 + 1 + 2) + (-5*n**2 - n**2 + 4*n**2)*(-n + 7*n - 3*n))*(-4*n + 4*n + n) as v*n**2 + m*n**3 + s + x*n + a*n**4 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.9 from -1744905106603.\nAnswer: -1744905106602.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 320*-170.\nAnswer: -54400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4019, 8209, 12757, 17843, 23647, 30349, 38129, 47167?\n\"Answer: 30*q**3 - q**2 + 3983*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.054?  (a) 0.3  (b) -5  (c) 2\/119  (d) 16.7  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**3\/8 - 30*f**2 - 3811*f\/8 - 1785\/4 = 0. Calculate f.\nAnswer: -14, -1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 PM and 10:04 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16788 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 5\/4, 4, 2\/399 in increasing order.\nAnswer: 2\/399, 2\/17, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-5 + 10 - (-1 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 2*i - 3*i)*(7 - 2 - 1 + (2 + 1 + 1)*(4 - 5 + 3)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 6*y + 2. Let a be u(6). Let j(l) = 3*l**2 + 1 + l**2 + 0*l - l - 5*l**a. Let i(m) = 2*m**2 + 4*m - 4. Determine i(v) + 4*j(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72 + 32 - 405*b - 77 + 117 - 396*b.\nAnswer: -801*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -854663 - -205119437\/240. Let p = s - -1\/80. Find the common denominator of -80\/21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1674 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**4\/4 - 8535*z**3\/4 - 1627236*z**2 - 152988912*z.\nAnswer: -3*z*(z + 109)*(z + 1368)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 5*b - 3*k - 194, 5*b = 5*k + 200. Let h(c) = 32*c - 48. Let t be h(24). Let i = -719 + t. Sort i, b, -5 in descending order.\nAnswer: b, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2. Let d be q(1). Suppose -6 = -3*a, 19*t + a = 15*t + 6. Put d, 0, 4, t in ascending order.\nAnswer: d, 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttxutttt.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 680767103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 192542 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5455 or -5459?\nAnswer: -5459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 29 = l, 94*i = l - 94*i + 180*i + 49 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*j**5 - 352*j**4 + 12*j**3 + 393*j**2 + 2*j + 2 wrt j?\nAnswer: 240*j**2 - 8448*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4 = 79. Solve 0 = -4*i + i - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x. Let n(l) = 19*l - 5. Determine 4*d(z) - n(z).\nAnswer: -3*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 4.7?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2\/3 + 1924*d\/3 - 1284 = 0.\nAnswer: -1926, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + 439 - 907 + 468.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48 + -73. Let l = j + 35. Solve -l = 5*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/177016 and 95\/177016?\nAnswer: 177016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -12*f**3 + 154*f**2 + 21*f + 63. Give c(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-1)*r))**(-1\/7))**(-1\/58)*r**(1\/2)*r**(-2\/3)*r**(1\/4)*r\/r**6 assuming r is positive.\nAnswer: r**(-11971\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 4*l**2 - 6*l + 9. Let v be g(5). What is the second derivative of -12*k - k**4 + 3*k - 3*k + 11*k**v wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 3 = 3*q + 2*w, 9*q - 2*w + 6*w = -48 - 15 - 7 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.055081028 rounded to four dps?\nAnswer: 0.0551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 13 = -2*g + h, 5*h + 16 = 4*g. Is 7 a factor of 312\/g*(3\/6 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 15*q - 26. Let h be -1*813\/(-63) + (5 - (-1133)\/(-231)). Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -98120*k**2*x**5 - 2*k**2 + k*x**5 - k*x**2 + 4*k + 15*x**2 - x wrt x.\nAnswer: -5887200*k**2*x**2 + 60*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 321014?\nAnswer: 2, 160507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12095*b**2 + 245*b.\nAnswer: -5*b*(2419*b - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*u + 7 = 2*s, -4*u = -4. Let n be -15 + 13 - (-7)\/s. What is the third biggest value in 3\/7, -4\/5, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*(-2 + 15\/9). What is the units digit of -1 - (-2 + -11 + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - g - 9 = -4*i, 2*i = -3*g - 23. Let n be 21\/3 + i + 2. Suppose 2*r - 4*w = 7*r - 17, -r - 5*w = n. Solve -4*u + 4 = -r*h + 2, h = 5*u - 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-5 - (-4 + 2 + 3 + -9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -0.1556211\nAnswer: -0.7781055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 428576.\nAnswer: 428576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.08, -1\/8, -4\/5, -19.95?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*b + 13 - 53 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1201585126?\nAnswer: 2, 7, 17, 296981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*v + 8*v + 12*v + 6*v - v**2 + 6 - 16*v**3 - 30*v - 2*v**4 to m + b*v**4 + r*v**2 + w*v + g*v**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -558139700 to the nearest one million.\nAnswer: -558000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44528 is divided by 11113?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -36746*g - 403462. Calculate z(-11).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -5. Let v be (38\/(-6) - -3)\/(5*2\/(-15)). Solve -5*s + 20 = -v*g, s + g + i*g = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 4*j**2 + 4*j. Let d = -8 - 1. Let f(a) = -a**3 - 10*a**2 - 11*a - 13. Let c be f(d). Calculate w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120929, 483669, 1088207, 1934543, 3022677, 4352609?\nAnswer: 5924339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 84025808 in descending order.\nAnswer: 84025808, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*k + 1905 = -174 - 1199 - 1006 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 135987668 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16462441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28448, 19, 5, 0, 1, -3.\nAnswer: -3, 0, 1, 5, 19, 28448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -3, 5, 10, 94\/7 in descending order.\nAnswer: 94\/7, 10, 5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -17*r**3 + 2*r**2 - 2*r - 3. Suppose 3*z + 9 = 3*x, 4*z + 3*x = 2*x + 13. Suppose b + z*c + 5 = c, 2*c + 6 = 0. Is y(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1280830.205 rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/(-990)*51 - 28\/70.\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 9*p + 14*p - 32*p - 42*p in the form z + r*p and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - (-22 + 3)) + (4 + -2 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/11))**(-48))**(4\/25) assuming t is positive.\nAnswer: t**(-192\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 9*p + 7. Calculate y(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x + 7. Let y be t(-4). Suppose y*q - 61 = -g, g + 0*g = 3*q - 53. What is the remainder when 72 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.02962 + 1.02962. What is the third smallest value in 0, 0.2, 0.099, o, -0.1?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 10:15 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3\/7 + 189*a**2 + 6708*a\/7 - 8028\/7.\nAnswer: -3*(a - 446)*(a - 1)*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 0*y**5 + 0*y**3 + 9\/10*y**6 + 0 + 0*y**4 + y**2 + 9*y. Find the first derivative of z(m) wrt m.\nAnswer: 108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -238*v**3 + 4*v**2 + 86*v + 138. Is o(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 974\/20 - (8 + (-14283)\/1755)\/(84\/182)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 0*r. What is the third derivative of -2*b**2 + r*b**3 - 3*b**6 + 0*b**3 + 4*b**6 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7843 is divided by 261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of 0 + 0*z**3 + 0*z**2 - 1\/3*z**4 - 4*z. Let i(x) = 4*x**2. Determine w(i(a)).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 200156053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/4))**(-2\/9)*b**(-3\/7)*b**7*(b\/(b*(b\/b**(2\/9))\/b)*b\/b**(1\/5))\/(b\/b**2*b*b**(2\/13)) assuming b is positive.\nAnswer: b**(20159\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.05, -0.15, 687?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1591204 * 0.2\nAnswer: -318240.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34050918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**6\/m*m**9*((((m*m**(-1))\/m)\/m*m*m)\/m)\/(m**5\/m) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -90, -194, -302, -414, -530, -650?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/45)\/(15\/(-9))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 6) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + d + 6 + 9 to the form o*d + a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2497 + -1599. Let c = o - 903. Let b = 9 - 6. What is the second smallest value in 0.4, c, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24251060 to the nearest integer?\nAnswer: 4925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -9*u - 25. Let a be p(-6). Find the third derivative of 15*c**2 + 10732*c**3 - 10732*c**3 - a*c**4 wrt c.\nAnswer: -696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1194 + 3057. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 21192 = -18*h. Suppose -h = -3*d + 1379. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21380 - -22057. Calculate the remainder when i is divided by 139.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367\/45 smaller than -1224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2121.6 + 2123.1. Let t = -0.3 + 0.4. Is t smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p - 17. Let i be v(-10). Let x(r) = 6*r**2 + 12*r + 23. Let q be x(i). Find the first derivative of 40*z**4 - 133 + q - 139 wrt z.\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*c - 14*c + c)*(7*c + 3 - 17 + 11).\nAnswer: -462*c**2 + 198*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i - 99. Determine r(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -0.92, 0.06, 4, 993, 3.\nAnswer: -0.92, -1\/5, 0.06, 3, 4, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s**4 - 87*s**3 + 84*s**2 = 0 for s.\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-180)\/(-240)*(-4)\/(-6)*28\/(-371)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from 74463074453.\nAnswer: 74463074455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*46\/483)\/((-6)\/(-7))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 618203?\nAnswer: 19, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express h**3 - h**3 + 21*h**2 - 3*h**3 - 11*h**2 as n*h**3 + y*h**2 + i*h + f and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*l + 3*a, -3*l = -5*a. Suppose j - 3*u - 34 = l, -3*u = -7 - 2. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*i - 4*b + 20, -4*b = -5*i + 106. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 608866 is divided by 5959?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 147 - 147 - (-5 - 1) - (2 - 28).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7422.9 kilograms?\nAnswer: 7422900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11524 >= 11542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 113, 124, 137, 152, 169?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, n: 10, t: 3}. Give prob of sequence nrn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.12 or -4835064?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 27*r - 68. Let u be m(-24). Solve -4*v + 5 = v - u*f, 3*v + 4*f - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of -39*n**4\/4 + 107*n**2 + 5*n + 19. Find the first derivative of t(g) wrt g.\nAnswer: -234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 138 - 133. Let i(f) = x*f**2 - 94*f + 3*f**2 + 94*f. Let t(a) = 8*a**2. Give i(t(k)).\nAnswer: 512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -75\/1234766?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**3 - 15*i**2 - 30*i + 3. Calculate n(-3).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-39)\/2574)\/(1\/3))\/((-279)\/3348)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*h**2 - h**3 - 3 + 2 - 7*h - 8*h in the form s*h**3 + t + o*h**2 + c*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of c**8\/23520 + c**7\/980 + c**6\/168 - 5*c**5\/84 - 7*c**4\/6 + 3*c**2. Let u(m) be the second derivative of l(m). Factor u(v).\nAnswer: 2*(v - 1)*(v + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1649*c + 1410 = -1555*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1868657 is divided by 622814?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k**2 + 2*k**2 - 21279*k**3 + 2*k**2 - 116699*k**3.\nAnswer: -137978*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**2 + u**3 + 8 - 7*u - 5*u**2 + 9*u**2. Suppose -5*r = -22 - 78. Suppose -36 = r*i + 124. What is v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -225151 (base 6) to base 14.\nAnswer: -705d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 982*d**2*l**2 + 7*d**2*l + 8289*d**2 + 2*d wrt l.\nAnswer: 1964*d**2*l + 7*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244052?\nAnswer: 2, 17, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, 17, -2, -1, -4.\nAnswer: -12, -4, -3, -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/(-66) - 955\/(-11). Let c = a + -68. Solve c = -5*m + 3*n - n, 0 = -3*m + 3*n - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4056 = 11*m + m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 + 2)\/(-2) + 2. Let l = 3 + -2. Let r be 2\/(l*(-2)\/(-5)). Sort 3, i, r in increasing order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by -53\nAnswer: 43\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4313233033 (base 5) in base 8?\nAnswer: 42620305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.213 + 44776822380.\nAnswer: 44776822378.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 3, m: 5, i: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/1)\/((-69)\/(-115))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of -2\/3*z**3 - 1\/12*z**4 + 2 + 0*z - 1\/30*z**5 + 0*z**2. Let r(o) be the third derivative of t(o). Determine r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 22, 139, 440, 1015, 1954, 3347, 5284?\n\"Answer: 15*t**3 + 2*t**2 + 6*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28550 divided by 2033.\nAnswer: 28550\/2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(162))*3 + 1*sqrt(162) + -3 + ((((sqrt(162) - (-2*sqrt(162) - sqrt(162))) + sqrt(162))*-4 - sqrt(162)) + -2)*-6)**2*-3.\nAnswer: -8213508 - 42120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - p - 2*p)*(-9 - 7*p + 9) + (5 - 1 + 13)*(1 - 1 + 2*p)*(7*p + 1 - 1).\nAnswer: 245*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 315, 723, -9, 1\/7 in decreasing order.\nAnswer: 723, 315, 1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1778*x**4 + 2*x**3 - 7*x - 48836 wrt x.\nAnswer: 7112*x**3 + 6*x**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 117031.47 months to decades.\nAnswer: 975.26225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 2*d - 92. What is the third derivative of 6*u**5 + d*u**3 - 23*u**3 - 5*u**2 wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7489 - 71051 = -44*i. List the prime factors of i.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 18, 68*i = 2*a + 65*i - 84. Calculate the remainder when 190 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 12*y**2 + 1313*y - 49. Give u(-110).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**3 + 16*y**2 + 44*y + 24.\nAnswer: -4*(y - 6)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24668 - 9.\nAnswer: -24677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 724, 1444, 2176, 2926, 3700, 4504, 5344, 6226?\n\"Answer: q**3 + 713*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 + 5 - -46) + -6 + (-4 - 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 25 = 0, -3*c + 97 = -b - 106. Let w(t) = -t**2 + 13*t - 20. What is the least common multiple of w(11) and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3*t**2 - 22*t - 6. Let c be s(9). Let u = c + 1. Calculate the lowest common multiple of u and 75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 5*v**3 - 5*v**2 + 69*v + 2. Let h(k) = -2*k**3 + 3*k**2 - 36*k - 1. Give 3*f(q) + 5*h(q).\nAnswer: 5*q**3 + 27*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + (-20 - (8 - 19) - -28).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 2868199612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -20a52b (base 16) to base 12\nAnswer: -872123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 8414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22201221 - 2302?\nAnswer: 22132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112 + 112. Let p = 0.2 + -0.3. Let d = p + i. Is d != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -124, -119, -110, -97?\n\"Answer: 2*b**2 - b - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 2:27 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -3*b - a + 13, 15*b - 17*b + 6*a + 10 = 4*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.29116 minus 8?\nAnswer: -7.70884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6816 + 34301. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3574 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 58361.96km in meters?\nAnswer: 58361960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 245 + -128. Let t = 352\/3 - z. Which is the closest to t?  (a) 0.5  (b) 0.4  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39.93 - -41. Let f = -31137935 - -31137933.92999902. Let w = f + s. What is w rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 114841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1708291.\nAnswer: 13, 331, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 27*s**2 - 5*s + 6. Calculate the remainder when 70 is divided by l(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1\/2)*a*a*a)\/(a**(-2)*a)*a\/(a**(-2\/3)\/a*a)*a**(-12))**(-1\/2))**(-1\/19) assuming a is positive.\nAnswer: a**(-41\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*-1*-5)\/((sqrt(20) + sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -43*n**7\/210 + 17*n**3\/3 + 2*n**2 - 10. What is the first derivative of x(b) wrt b?\nAnswer: -172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 676 and 277421105.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0\/x)**(-3\/2)\/((x\/x**10)\/(x*x\/(x\/(x**(-2\/13)*x)*x*x)*x)))**(25\/4) assuming x is positive.\nAnswer: x**(7375\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 2*x - x)*(x - 5 + 5).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -2. Let x be r\/(-5) - (-77)\/105. Let 1\/3*l - 1\/3*l**2 - x*l**3 + 1\/3 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13206 - 13201. Solve k*m - 25 = 2*v, m - 20*v + 23*v = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-3) - (-2)\/3. Let w be (-1)\/((6\/(-4))\/3). Solve 2*q + 5 = b, k*q + 3*b + b = -w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3492554.\nAnswer: 2, 13, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -214122654 divided by -6\nAnswer: 35687109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of z**6\/30 - 7*z**5\/3 - 76*z**4\/3 - 104*z**3 - 733*z**2. Factor i(b).\nAnswer: 4*(b - 39)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*d = -21*d - 151 - 53 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 8 = 2*w, 5*i - 2*i = -4*w - 39. Let y(d) = -d**3 - 40*d**2 + 268*d - 369. Let k be y(-46). Put -4, k, w in decreasing order.\nAnswer: k, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -266*b - 3039. Let m be a(-12). Calculate the highest common factor of m and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.724 rounded to one decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 - 6)*(3*x**2 + 2 - 3*x**2 + x**2) + 4*x**2 - 5*x**2 - x**2 to the form y*x**2 + n*x + h and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -66*h**3 - 4*h**2 + 2. Is a(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) -18  (c) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 10*i - 1. Let k(g) = -5*g**2 - 41*g + 3. Let r(s) = -2*k(s) - 9*n(s). Let l be r(6). Is l bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-554)\/(-262)*(-8)\/(-20). Let h = -6\/131 + c. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.013 and 5541.4193.\nAnswer: 5541.4063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -3 - 5. Suppose 2*x = 3*k + 35 - 13, 2*x = -d*k + 12. Suppose -6*h + x = -2*h. Let m(o) = 4*o - 2. Give m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wjc when three letters picked without replacement from jwcqqw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 77\/5  (c) 103  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.0146 - -0.0146. Sort -4, -2\/31, 0.5, s in decreasing order.\nAnswer: 0.5, -2\/31, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2 - ((-24)\/(-3) + -1110) is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -15715.0782 to the nearest 10.\nAnswer: -15720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 - -18. Let j = 21 + i. Suppose 2*l + 2*b = 12, -l = -j*l - 4*b + 23. Solve l = -0*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-4\/7)*y)\/((y*y*y\/(y\/y**6))\/y)*y**(-5)\/y**5 assuming y is positive.\nAnswer: y**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 42 = -4*p - 3*n, -5*p + 2*n - 86 = 0. Let j = p - -21. What is the third derivative of -3*x - j*x**2 + 3*x**3 + 2*x + x wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (38\/(-18))\/((-20)\/180) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-63)\/336)\/(2625\/240 + -11). Factor -2\/3*m**2 - 1\/2*m - 1\/6*m**s + 0.\nAnswer: -m*(m + 1)*(m + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.098 + -0.102. Which is the biggest value?  (a) 2.7  (b) -2\/13  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus -183935985?\nAnswer: 183935986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 26 = -5*z, 5*f + 25 = 5*z - z. Let c = 2 + f. Suppose -5*g = c - 36. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to 1\/12752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -402*b**4 - 408 wrt b?\nAnswer: -1608*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(6*o - 4*o + 5*o)*(-1 - 2 + 2 - 3 - 2 + 4 + (-4 + 1 + 5)*(0 + 2 + 0)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 84 - 29. Suppose -k = -4*x + 17. Suppose 0 = -b - 4 + x. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36a (base 12) to base 5.\nAnswer: -4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -35111551?\nAnswer: 35111552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 3*l**2\/2 + 1369*l\/4 + 57 = 0.\nAnswer: -228, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d - 4088 = -1113. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13702 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q**3 + 12*q + 3143 + 9*q - 10*q - 1569 + 24*q**2 - 1576 in the form w + l*q + s*q**2 + u*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6991?\nAnswer: 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5\/6, -0.5, 354\/11, 0.1, 1\/2, 3\/4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.78 and -1.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 35767 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: Suppose -26*g = 32*g - 58. Solve -5*a = t + g, -53*a + 52*a + 5 = -5*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -155 - -3?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k + 0*k - 1530 = 0. Let o = k - -129. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -124*t + 140*t + 1152. Let b = 21 - 91. Let h = b - t. What is the remainder when 10 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 + 37. Let s = 59.4 - v. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of 39*q**6\/10 + 5*q**2 - 34*q. Find the first derivative of t(u) wrt u.\nAnswer: 468*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 306*w + 2166. What is the remainder when 138 is divided by d(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**3 - t**2 - 6*t + 9. What is y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1378 and -1332 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242)*-2 + sqrt(242))*4 + sqrt(242))**2 + 0 + 0.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, o: 6}. Give prob of sequence ooo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7594 less than -42869861.99?\nAnswer: -42869861.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1092 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1314 + -782. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -3. Suppose -5*a + 4*b - 5100016 = 0, t*b = -a - 0*b - 1019988. What is a rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 8*l**2 - 6*l - 23. Let n be d(9). Let j(z) = 5*z - 15. Let s be j(n). What is the second biggest value in 24, s, -2\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 431 a factor of 119624050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -819*z. Let w(s) = -s**2 - 144*s - 1. Determine d(w(k)).\nAnswer: 819*k**2 + 117936*k + 819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -26, 0.401, 0.2, -0.13, -21?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -894 + 1034. Calculate the highest common factor of 1232 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1252 by 6.\nAnswer: -626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23305 = -48*k - 21289 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 500992 times 0.097?\nAnswer: 48596.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, c: 11}. What is prob of picking 1 c, 1 t, and 1 o?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 - 0.03000011. What is t rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i + 5. Give b(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 164*z**2 - 65*z + 321. Let r be t(5). Calculate the greatest common divisor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 2*d = -3*m + 7, 2*m = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/((h**10\/h)\/h))\/(h\/h**(-4\/3)))**(5\/3))**1 assuming h is positive.\nAnswer: h**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29401*p**4 - 11569*p**4 - 14660*p**4)*(2 - 2 - 1)*(p - p + 2*p).\nAnswer: -6344*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 117. Suppose 8737 + 8666 = 225*h - 47172. What is the greatest common factor of h and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 7*d - 14. Let w = 80 - 74. Suppose -6*c = -3*c - w, -3*y - c + 17 = 0. List the prime factors of p(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**3 + 4*v - 1. Let x(n) = 6*n**3 + 12*n - 3. Give -11*d(k) + 4*x(k).\nAnswer: 2*k**3 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jyji when four letters picked without replacement from iiyyjjyyj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -n**4\/4 - 4*n**3 - 5*n**2 + 9*n + 151. Calculate h(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 - 45469660758 + 45469660758.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 751 is divided by 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.695737 - -1307.707737. Let w = t - 1312. Let n = -0.012 + w. Put n, 0.1, -0.3, -0.4 in descending order.\nAnswer: 0.1, -0.3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 35746060*l**2 - 37738283.\nAnswer: 71492120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*-2*(-1)\/(-20))\/(45\/(59625\/(-742)))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*225483.\nAnswer: 90193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 116 and 928?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -3*x**4\/8 + 1137*x**3\/4 - 90321*x**2\/8 + 37221*x\/4 + 66051 = 0.\nAnswer: -2, 3, 41, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from kqwd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*g + 1460. Let q = g + -193. Suppose -q = -3*h + 87. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3947 times 0.3?\nAnswer: 1184.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of a**5\/20 + 9*a**4\/4 + a**3\/6 + 29*a**2\/2 + 27*a. Let w be z(-27). Solve b - w = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -6\/107, 3, -11, -18, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2729015*y - 4783729?\nAnswer: 2729015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 468271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.05  (b) 3  (c) -1.6  (d) -0.3  (e) 19\/5  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-12) + 3\/(-6)*-1. Which is smaller: j or 3\/23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98 divided by 1\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 335 + -488. Let g = -69 - n. Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -5*d**3\/3 - 3. Let o(c) = 4*c. Let i(g) = -11*g. Let l(p) = 3*i(p) + 8*o(p). Calculate l(z(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/((-132)\/(-44)) + 36 + 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/2  (b) -1\/7  (c) -8\/7  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 375 + -284. Let l be (-150)\/9*(-3)\/2. Let z = a - l. Calculate the highest common factor of z and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/60*(-11 - 999\/(-36)) and (-1)\/(-2) + (-177)\/270.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 + 535. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 1:30 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 9*g**3 - 2*g - 2. Let b = 42 - 44. Let l(r) = -242*r**3 + 55*r + 55. Determine b*l(w) - 55*o(w).\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3572, -3575, -3568, -3545, -3500, -3427, -3320?\n\"Answer: p**3 - p**2 - 7*p - 3565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 + 53\/7)*-7 + -6. Solve -a*z = -c - 16 + 17, -4*c - 13 = z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 396*s**3 - s**2 + 18*s. Let b(g) = 1583*g**3 - 4*g**2 + 66*g. Give -3*b(w) + 11*j(w).\nAnswer: -393*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/14?  (a) -0.1  (b) 0.5  (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 819*o**2 + 3*o - 1302 with respect to o.\nAnswer: 1638*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 221422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 24*c - 43. Let b(m) = -26 + 2*m + 10*m + 4*m - 3. Let j(x) = -8*b(x) + 5*z(x). Does 32 divide j(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 160*w**3 + 39842*w**2 + 497*w - 247. Determine l(-249).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/((-30)\/((-345)\/23))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 70\/87618897 and -47\/87618897?\nAnswer: 87618897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**4\/4 + 15*w**3\/2 - 99*w**2\/4 = 0.\nAnswer: -33, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**14)**(-16\/5) assuming s is positive.\nAnswer: s**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((472\/(-1770))\/((-8)\/(-6)))\/((24\/25)\/(-6)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {g: 7, q: 2, u: 1, s: 7, j: 1}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 - -45. Suppose -g*j - 29 = w, 0 = -3*w - 4*j - j - 47. Is 31 a factor of ((-186)\/w)\/((-10)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**2 + 9*g - 2. Let i be c(-3). Let q be (-3)\/((-18)\/(-24)*i). Put 5, q, 0 in increasing order.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from welludd. What is prob of sequence we?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -17 + (74 - 82).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 105?  (a) -0.1  (b) -5  (c) 3\/13  (d) 1  (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1161629713.8 rounded to the nearest 10000?\nAnswer: -1161630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3623 + 0*j - 3621 - 2*j + j.\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -1) + (12 - 12) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(208) + 0 + sqrt(208) + 4 + -2*sqrt(208) + 2)*1)**2 + 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, 0.03, -5, -48 in decreasing order.\nAnswer: 0.03, -5\/4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 358\/(-5) + (-4 - -5). Let t = v - -71. Is 0.4 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 2*s - 1. Suppose -7*o + 4 = -3*o. Let d be x(o). Let q(l) = l - l + l + d. Let h(i) = -3*i - 1. Give 2*h(v) + 5*q(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + 287\/(-35))*(-15)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 611*h + 2184. What is the thousands digit of f(49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfbrbuvvd. Give prob of sequence fr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -12165*x + 6037. Is d(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9769 + 15338. What are the prime factors of t?\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.083 - -0.317. Which is the fourth biggest value?  (a) 1\/8  (b) -11  (c) g  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 1407111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1716971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 16\/40 + 6900014\/(-10). Let s be (-5)\/20*-4 + i. Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2815, -3689, -4415, -4981, -5375, -5585, -5599?\nAnswer: -5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*y - 3 = 0. Let r(v) = -v**2 + y*v**2 - 5*v**2. Let o(m) = m. Determine o(r(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 244 or 1\/112054?\nAnswer: 1\/112054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 11 = q, -q + 1 = 2. Suppose 2*g - 2 = n*g, -34 = -5*t - 3*g. Suppose 3*x + 690 = t*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*(5 + (-3 - 1 - -2)). Which is smaller: j or -68\/23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21144 - 233?\nAnswer: 20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 114011523 (base 6) to base 5\nAnswer: 1022213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -65732*x + 65786*x - 216 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/3 and 10948905 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1135, 1134, 1133, 1132?\n\"Answer: -q + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 94, 1, -272010, -2 in decreasing order.\nAnswer: 94, 1, -2, -272010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4531850967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -145 + 150. What is the nearest to -0.1 in u, -3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -1.5, 161, 4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 33821\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from klllukkkulkluullk. Give prob of picking 2 k and 1 l.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 6*s. Let i(v) = -3*v. Let l(m) = m**2 - 23*m + 105. Let p be 8\/14 + 1955\/119. Let c be l(p). Give c*j(x) - 5*i(x).\nAnswer: 3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(26)*-3)\/((sqrt(6)\/sqrt(3)*-2 + sqrt(2) + sqrt(2) - sqrt(2))*3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(1 - 3) - (-104)\/26. Put j, -20, 0 in increasing order.\nAnswer: -20, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 5 + (sqrt(612)*2 + 3 - (-1 + sqrt(612) + 0)) + -2)*-6*-1)**2.\nAnswer: 1728*sqrt(17) + 22608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -396  (b) 2  (c) 4  (d) 1\/7  (e) -4\/3  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - z - 7 = 0, 5*h - z + 12 = -9. Let x(v) be the second derivative of v**4\/12 - v**3\/3 - 2*v**2 - 64*v - 102. Determine x(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5*s - 107 = -2*s, j - 46 = -s. What is the remainder when j is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -23*u**5\/120 + 5*u**4\/12 - 17*u**3\/6 + 11*u**2. Let c(p) be the first derivative of b(p). Is c(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 4*u = -2*q - 4, -u + 44 = 4*q. Suppose -y = 2*b + 5, 5*b - b - 2*y - q = 0. List the prime factors of -2 - (0 + b - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of 6*n**4 + n**2 - 2*n + 82. What is the second derivative of s(l) wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, 0, -5, 24.\nAnswer: -5, 0, 3, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/5408 and 89\/2028?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2, -5 in decreasing order.\nAnswer: 2, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/810 and 86\/45?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-56)\/(-8))\/14)\/(2\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -88941*r - 3. Let x be l(-32). Let p = -9066109 + x. What is p rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8382 and 6292.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 - 3)*((-2)\/(-3) - 0) + 36 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 7*l + 4. Let v be i(8). Let o be v - 0*1\/4. Let d = o - -16. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8170575?\nAnswer: 3, 5, 7, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*m - 6 = 0. Let b(z) = -z**3 - 5*z**2 + z + 7. Let f be b(-5). Solve 0 = -3*n + f*g + 17, 2*n = 3*g - 4*g + m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 48*b - 28 = -44*b, -2*b - 8 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 3*l**2 - l - 1. Let i(k) = -5*k**2 - k - 4. Let g(d) = 2*d**2 + 1. Let f(t) = -3*g(t) - i(t). What is 2*f(w) + 2*v(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 7 = t, -3 = -6*g + 3*g. Suppose -o + t + 60 = 0. Suppose -2*l = -o + 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13029052499 and -519.\nAnswer: -13029053018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -6*a - 35. Let o(q) = q**3 - 19*q**2 + 18*q + 19. Is o(a) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168013073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -150 + 363. Suppose 7*s - x = 6*s. List the prime factors of s.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {z: 1, d: 3, l: 2, b: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/10)\/(12\/10*37\/74)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-4131)\/2295)\/((-6)\/32420 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 9:37 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5094250 by -145550.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1009121071, -2018242141, -3027363211, -4036484281, -5045605351?\n\"Answer: -1009121070*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 n when four letters picked without replacement from {p: 2, v: 4, n: 1, b: 1, j: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 176\/(-182) - (-4 + (-125)\/(-35)). Let i = -5\/39 + a. What is the second biggest value in 0.5, 1\/4, i, 21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-7)*(56\/(-12))\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9 + (-1340)\/150)*3. What is the third smallest value in j, -4, 2, 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/9 and -143\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from melqeqlzzeezqlewez. What is prob of sequence zz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 14. Let s = a + 6. Let p = -0.1 + s. Is p at most as big as 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1940 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -19753.37 from -0.0061295.\nAnswer: 19753.3638705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1270, 3, 54, 43 in increasing order.\nAnswer: 3, 43, 54, 1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -105 - -225. Suppose -4*i + 160 = 4*d, 3*i - 36 - n = -4*d. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from eetttulteeteueteel.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**2. Let v(w) = -w - 3 - 1 + 4. Give v(x(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6075 - -6071. Let l(g) = -10*g - 21. Calculate l(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 318\/3161?\nAnswer: 318\/3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of g**4\/4 - g**3\/3 + g**2\/2 + 9*g - 2. Is 9 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -93, -395, -903, -1617?\nAnswer: -2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/(-18) - 4315\/666. Let o = t + 10\/111. Calculate the common denominator of o and -63\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4336*y + 4379*y - 1720 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 791 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/130 and -77\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -107  (b) -55  (c) 5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -g**4\/54 - 11*g**3\/27 - 2*g**2 - 500*g. Factor o(r).\nAnswer: -2*(r + 2)*(r + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 67947*y**2 - 264378912*y - 285134569788.\nAnswer: -3*(y + 2294)**2*(y + 18061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -44922\/5 greater than -8983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8 plus 2203839720410.3?\nAnswer: 2203839720413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, p: 2, c: 4, q: 2, w: 3, n: 2}. Give prob of picking 2 c and 1 n.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 18 = -5*x, -8 = x + 3*x. Let h = -86 + 102. What is the highest common factor of s and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251198149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -3*h + 3*v - 9, 2*v = 5*h - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000016 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 6*g + 30. Let r = 30 - 17. Let i = g + r. Which is the third smallest value?  (a) 8  (b) i  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -1. Suppose 2*c + 159 = 6*c - 3*g, f*c - 138 = -4*g. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94599 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 141, 136, 129, 120?\n\"Answer: -u**2 - 2*u + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 156.41 - 152.41. What is the second biggest value in -0.1, 0.19, 10, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421873.\nAnswer: 43, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j + 18. Suppose 2*o + 6*n = 36, 2*n + 20 = 5*o - 2. Determine u(o).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 93\/12 - 5\/(-20). Let j = 11 - c. Suppose -2*m = -j*t - 19, 0 = 5*t - 5*m + 3 + 32. Sort 0, t, 3 in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i - 16*i**2 - 16*i**2 + 9*i**2 + (4*i - 3*i - 3*i)*(-6*i + 3*i + 2*i) to u*i + w*i**2 + g and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 4*v**3 + 11*v**2 + 2*v + 2. Let x(y) = 5*y**3 + 12*y**2 + y + 1. Let j(l) = -6*m(l) + 5*x(l). Is 17 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 406161\/113102 + -1\/5141. Let t = -54\/57719 - -827633389\/692628. Let q = t - 1194. What is the common denominator of q and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 540056 divided by -1229.\nAnswer: -540056\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -146 or -49749\/344?\nAnswer: -49749\/344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmfzfmmmm. Give prob of picking 2 m and 1 z.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -59a54?\nAnswer: -59a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 3. Let l be (-2)\/(-9)*6 + w. Factor 0 - 1\/3*c**3 + 0*c - l*c**2.\nAnswer: -c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03142 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b - 3. Let w be o(-8). Let j(f) be the first derivative of 5*f**2\/2 - 7*f - 3. Calculate the remainder when 53 is divided by j(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71.2 - 71.4. Which is the nearest to s?  (a) 1  (b) 0.1  (c) 4  (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.23 and 10.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -770 divided by 5?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19373, -17370, -11925, -1316, 16179?\nAnswer: 42282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 521490 rounded to the nearest one thousand?\nAnswer: 521000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(54)\/sqrt(3)*2)\/(sqrt(90)\/((sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(2))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4423578 is divided by 105323?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*y = -b + 9, b - 5*y = -3. Let m(g) = -11*g + 1. Let z = -2 - -1. Calculate the smallest common multiple of m(z) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 165151067*d**2 + 148335906*d - 1 wrt d.\nAnswer: 330302134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 670 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (8 - ((-8 - (-8 - 2)) + 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4549 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-177*x + 52*x + 431*x + 1134*x)*(-1 - x + 1) to i + o*x**2 + j*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-1 + (sqrt(500) - (sqrt(500) + -3)) - (2 + sqrt(500) + 5*sqrt(500)))**2 + 5).\nAnswer: -108030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 539 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 88446, 88433, 88430, 88443, 88478, 88541, 88638, 88775?\n\"Answer: s**3 - s**2 - 17*s + 88463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -4352\nAnswer: -4351.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(420)\/(sqrt(90) + sqrt(10)))\/sqrt(6) + sqrt(70)\/(-4*sqrt(40)).\nAnswer: -4 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 143 - 158. Which is the second biggest value?  (a) 2\/5  (b) -0.5  (c) 0.2  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -179679, -179536, -179381, -179208, -179011?\nAnswer: -178784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 882 and 552426.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4818, -4833, -4874, -4953, -5082?\n\"Answer: -2*s**3 - s**2 + 2*s - 4817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uvpv when four letters picked without replacement from {u: 4, v: 2, p: 2, z: 4}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (73*r - 73*r + 25*r**2)*(-2*r**2 + 6*r - 5*r - 3*r) as n*r**3 + q*r + v*r**4 + x*r**2 + c and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-6624)\/(-1840))\/(9\/(-15)*1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5080350 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/5))**(-21)\/(t**0\/(t**(1\/7)\/t)) assuming t is positive.\nAnswer: t**(558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2114*f = 1171*f + 1040*f - 6693 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 626984\/505 or 1243?\nAnswer: 1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1816035*h**3*w**6 + 24*h**3*w**3 + 30*h**3*w**2 + 1381301*h**3*w wrt w.\nAnswer: 217924200*h**3*w**3 + 144*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3*c. Determine x, given that c*x**2 - 2\/3 + 2\/3*x**4 + 4\/3*x**3 - 4\/3*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 231, -1.\nAnswer: -1, 2, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 3. Let s be v(0). Suppose -s*q = 2*q - 130. Let y = q - 53\/2. Which is the closest to -1?  (a) -2  (b) 2\/7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20?  (a) 0  (b) -0.3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 801833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-2\/7)*n)**(2\/97)\/(n\/n**5*n\/n**(1\/4)) assuming n is positive.\nAnswer: n**(9011\/2716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -27*q + 32*q - 4*z, 4*q - 3*z - 61 = 0. Let i be 38\/(44\/10 - 4). Calculate the greatest common factor of q and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*i + 42. Suppose -15*z - 10 = -10*z. Let y = i + z. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -329*j**2 + 13*j - 65. Let q(o) = -82*o**2 + 3*o - 15. Let p(s) = 6*d(s) - 26*q(s). Let w(h) = -10*h**2. What is p(w(t))?\nAnswer: 15800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 4*b + 4. Let y be s(-8). Let j = 75 - y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 658.0612 litres?\nAnswer: 658061.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1064 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 18, 0.1, -7.8?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416\/29028*(1\/3)\/(3\/9)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/5 - -2 - 5\/20 and (1\/14)\/(10\/108).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 117613 or 1\/4?\nAnswer: 117613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -12*u. Let i = -33293\/210 + 1110\/7. Let r(w) be the third derivative of 0*w**4 + i*w**5 + 13*w**2 + 0*w + 0 + 0*w**3. What is t(r(o))?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-30) + 430\/(-75))*45\/(-105).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23*(-36)\/(72\/(-2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.4, -3, 6580, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -37*v + 18. What is k(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810 a factor of 145080300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(-132))\/(535\/268 + -10*(-1)\/(-5)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by -141.\nAnswer: 16\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4284\/(-102816))\/(4\/3)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 241.549 and -4.\nAnswer: -966.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/l**26)*l*l*l**(-20)\/l*l assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l**3 - 2*l**2 + 1. What is the remainder when 15 is divided by o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31475281 by 5.\nAnswer: 31475281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-12))\/(2\/24). Suppose -6 = -m*t + 6. Factor -d + 3*d**3 + d**t - 3*d**3.\nAnswer: d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5204363 less than -5204367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19321315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1130*d - 265*d**3 - 1130*d.\nAnswer: -265*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-56)\/868 + (-126)\/(-31). Solve 0 = -g - 5, -10 = -l - i*l + 5*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 222611 and 49321.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*c**2*o*q + 44*c**2 - 9*c*o*q - 37*c*q - 2*o*q - 2*o wrt o.\nAnswer: -9*c**2*q - 9*c*q - 2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*s + 29 + 23 = 0, 5*s - 15 = -f. Calculate the greatest common factor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y**2 + 63*y - 33*y - 34*y as g*y + o + n*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 565 = 2*k, -7*k + 1415 = -2*k - 5*m. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137, -280, -421, -560, -697, -832, -965?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**5\/20 - f**4\/4 - f. Find the third derivative of n(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8 + 2)*-1 - 5)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -26843 (base 9) to base 13\nAnswer: -8379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, g: 4, j: 1, a: 2, u: 1}. Give prob of sequence ug.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67682, -1, -3\/4 in ascending order.\nAnswer: -1, -3\/4, 67682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4 - 2 - 4*h**2 - 9*h**2 + 5 wrt h?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {m: 5, t: 8, r: 2, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*b*j**2*k + b*j**2 - 3*b*j*k + 40*b*k - 315*b - 41279*j**2*k - 5*j*k - 2*j wrt j?\nAnswer: 10*b*k + 2*b - 82558*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y - 5762 = -20302. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -i**3\/6 - 5*i. Let v(l) = 3*l**2. Determine x(v(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 4*u - 5*z, 3*z + 4 = 4*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**(-2\/5)*b)\/(b**(2\/3)\/b)*b**4*b*b**3)\/((b*b**(2\/9))\/b*b*(b*b*b\/b**0)\/b*b**0*b*b*b**(2\/15)) assuming b is positive.\nAnswer: b**(251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + y**2 + 30. Is l(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-80)\/(-56)*140\/50. Put d, -3, -19, 2 in descending order.\nAnswer: d, 2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4*t**2 + 1 + 0 + 8 - 4*t**2 - t**2. Let a = 0 - 0. Calculate o(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5833\/2 + 2917. Let v(l) be the third derivative of 0 + 0*l + 0*l**3 + 13*l**2 + i*l**4. Let z(s) = -2*s. What is v(z(q))?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 27 = 148. Let d = 37 + l. Suppose 0 = -s - d*s + 51. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8 + -3 - 3) + -10. Let z = k - -2. Let m(d) = -114*d - 11. Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52 + 32. Let l = z - -24. Solve 2*p = 3*x - 0*x + 4, l*x = 2*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 20 - 5. Suppose -f = 4*y - 511999, 3*y - 384004 = -0*y + 4*f. Suppose r*d - y = d. Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230849?\nAnswer: 230849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 500*d**5 - 4400*d**4 - 178060*d**3 + 339192*d**2 + 20511792*d + 85645728.\nAnswer: 4*(d - 17)**2*(5*d + 42)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -100010010010001000 (base 2) to base 5\nAnswer: -13443144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - -4*(-3)\/12. Suppose 0 = q*d + 2*f - 0*f - 24, 0 = 5*d + f - 76. Calculate the smallest common multiple of d and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*g**3*h**3 - g**3*h + 13*g**2*h**3 + 14*g**2*h**2 - 551*g*h**3 + 5*g + 5904*h**2 wrt h?\nAnswer: -66*g**3 + 78*g**2 - 3306*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -706 + 712. Solve 16 = 4*z + 2*f - c*f, 5 = -f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 142302\/21 - 28\/98. Suppose -60*m = -67*m + a. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1006 + 2234. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17560 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1001 (base 2) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112379, 109631, 106885, 104141, 101399, 98659, 95921?\nAnswer: 93185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from reereowe.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 5) + (-58 - -66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p**2. Let o(y) = 16*y - 8*y - 6*y. Calculate x(o(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d + 1. Let g be 9\/(-6)*2 + 1 + -2. Let j be ((-65)\/g)\/(-5) + 5\/20. Let n(z) = -2*z + 1. Determine j*h(s) + 4*n(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3821 - -6515. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -g**3\/6 - 4*g. Let r(n) be the first derivative of n**3 + 9. Calculate x(r(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - q + 6. Suppose 4*i - 8 = 8. Suppose 2*f = 0, f = 2*s - i*s. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**3\/4 - 883*o**2\/4 + 880*o - 879 = 0.\nAnswer: 2, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 + 14*c - 228. Let n be g(-13). Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -770222, -1540445, -2310668, -3080891, -3851114?\n\"Answer: -770223*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -644, -1316, -2006, -2702, -3392, -4064?\n\"Answer: 2*t**3 - 21*t**2 - 623*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 8. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 7, -0.1, -3\/7, 5575, 2.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37614 is divided by 285.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -817901 * 0.2.\nAnswer: -163580.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 25 = -1. Let k = u + -6. Factor 2*z**3 - 2*z + 0*z**3 + k*z + 10*z**2 - 10.\nAnswer: 2*(z - 1)*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - -1 - (8 - (-640)\/(-110)). Let d = -73 + 510\/7. Which is the second biggest value?  (a) d  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3 - 14846*k**2 - 27557886*k - 27543042.\nAnswer: -2*(k + 1)*(k + 3711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4732629 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*u = 298*u - 74738180. What is u rounded to the nearest one thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) + -2*sqrt(1210) + sqrt(1210)) + ((-1 + sqrt(11) + sqrt(11))*4 - (2 + sqrt(33)\/sqrt(3) - sqrt(11))))**2.\nAnswer: -474*sqrt(11)\/5 + 72251\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 737, 1431, 2125, 2819, 3513, 4207?\n\"Answer: 694*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*g - 227*g - 458*g = 29852 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1260 and 1764.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 161*y**2 - 575*y - 737. Let v(t) = -16*t - 107*t**2 + t**3 + 188*t + 116*t + 95*t + 491. Let k(a) = -5*p(a) - 8*v(a). Solve k(l) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*o**3 - 34*o**3 + 32 + 5*o**3.\nAnswer: -2*o**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(684)*4.\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*m - 3*j, 4*j = 2*m - j - 5. Let d be 2\/(-12) + (-79)\/(-6). Suppose -3*x + x - u = -23, m = -2*x - 3*u + d. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((1 + sqrt(475) + sqrt(475))*-4 - 4*sqrt(475)*2)**2.\nAnswer: 640*sqrt(19) + 121612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -82.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 + 13. Suppose 13*m + 54 = -4*z, -4*m - 27 = 2*z - 15. Sort g, m, 5.\nAnswer: m, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 122 + -115. Which is the closest to i?  (a) -2\/11  (b) 1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -105402, -210880, -316354, -421824?\nAnswer: -527290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -476*j**3 - 1. Let b be y(-1). Suppose 5*i - b = 100. Suppose -2*h + 55 = -i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -90 in -2, 0.4, -0.09, 0.5, 52?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from smutl. What is prob of picking 1 s, 1 l, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f + 44. Let p be a(-30). Let i be 816\/p + -2 + (-84)\/(-39). Solve 4*l - i = -3*n, -2*n = 4*l - n - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4010579 and -4010577 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11430 + 23421?\nAnswer: 40401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 3*o**2 - 2*o - 4. Let x be s(-3). Let c be (3 - (-1 + x))\/(-7). Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1920 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 d(k) = 17*k**3 - 7. Let u(q) = -34*q**3 + 13. Let x(v) = 11*d(v) + 6*u(v). Suppose -h + 28 = -3*h - 4*g, -3*h = 3*g + 42. Let z = -13 - h. Calculate x(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 4*a - 17. Give r(21).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + (-99)\/21 - -1. Let j = 0.038 - 1.038. Which is the nearest to j?  (a) 3\/4  (b) 8  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7846835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1297624, -1297601, -1297578?\n\"Answer: 23*s - 1297647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**(2\/11)\/c*c*c))\/(c**(-6)*c)*((c*c*c**(1\/7))\/c)\/c**6*(c*c**(2\/7)*c)**(-41)\/(c**0\/c**(-3)) assuming c is positive.\nAnswer: c**(-7373\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -7235, 0, 148 in ascending order.\nAnswer: -7235, 0, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96520?\nAnswer: 2, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 95911?\nAnswer: 95914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 a factor of 1127803180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 1020 + 970 = 27*v, 3*v - 6 = -3*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*c**2 - 12*c**2 - 54*c**2 - 27*c**2.\nAnswer: -146*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4039570752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 29507589 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64\/(-48)*1\/(-2)*-24*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1840451 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - -1)*-1 + 156. Let c(h) = h**3 - 2*h**2 + 9*h - 6. Let g be c(4). What is the greatest common divisor of l and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17193*z - 17194*z + 3*d - 15 = 0, 144 = -3*z - 24*d for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3107453\/44 - 70623. Find the common denominator of 98\/(-132) + (-2)\/(-8) and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -162, -859, -2242, -4491, -7786, -12307?\n\"Answer: -30*c**3 - 163*c**2 + 2*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94799 is divided by 1079?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/3 + 1688*c**2 - 1686*c - 10124\/3 = 0.\nAnswer: -1, 2, 2531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1 and -3.2.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -18385.95, 0.2, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, 0.2, -5, -18385.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n**4 + 10083*n**3 + 212727*n**2 - 571227*n - 472374 = 0.\nAnswer: -23, -2\/3, 3, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -10*a**2 + 5*a - 12. Let s be n(5). What is s rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1302 and 614069421?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnzzzbwpzpwp. Give prob of sequence zb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3005507 or 3005506?\nAnswer: 3005506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006065 to 4 decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by -9\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 108\/11, -5, -2, 0.5, 148 in decreasing order.\nAnswer: 148, 108\/11, 2\/3, 0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8 + -2 + -3 + -1. Suppose -g + 3*s = 2*s + 2, 5*g = -t*s + 18. Solve 5*i - 17 = l, -i - g*i = -3*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -425 and -422367?\nAnswer: 421942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 131910984 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**6\/120 + 2*c**5\/15 - 7*c**4\/24 - 5*c**3\/6 + 4*c**2. What is the tens digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19269*n**4 - 2*n**2 - 117735 with respect to n.\nAnswer: 77076*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 4*i + 13 = 23, -i + 28 = -5*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -254*t - 336*t + 60*t + 39*t + 259*t**2 wrt t.\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -1\/3  (c) -0.1  (d) 7\/2  (e) -137\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 84 - 26. What is the remainder when ((0 + n)\/2)\/1 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/2  (b) -6  (c) 1  (d) 2\/115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j + 3585 + 2404 = -86*j for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/2170 and 24\/5425?\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2723834856 to the nearest integer?\nAnswer: 52190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -4*b - 1. Let l(r) = r + 11. Let k be l(-9). Calculate y(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l + 4. Let v(d) = 2*d + 10. Let w(z) = 12*n(z) - 5*v(z). Give w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -3535\/164?\nAnswer: -3535\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1729*r + 1732*r = 49221. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9122 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -9800 rounded to the nearest 100?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66)\/99)\/((-8)\/(-30))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26521 and 20886493.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 66213276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**4 + 2*h**4 + 0*h**4)*(4*h + 3*h - 5*h) - 2*h**5 + 3*h**2 - 3*h**2 + h - h + 2*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 5*v + 36. Determine i(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b - 5. Let t = 11 - 28. Let u(k) = -k**3 - 16*k**2 + 17*k - 6. Let h be u(t). What is d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - b + 1. Suppose -28 = 4*p - 4. Let o = p - -4. Let s(t) = 2 + 19*t**2 + 34*t**2 - 57*t**2 - 2*t. Give o*a(z) + s(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - 14*q**2 + 2404*q + 38238. What is j(-16)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 b when four letters picked without replacement from {y: 2, z: 2, u: 3, b: 12, p: 1}.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(400) - sqrt(400)*2) + sqrt(400))\/(sqrt(45)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1424313 (base 5) to base 16.\nAnswer: -7506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 - 57. Suppose 10*d - 5*d - 1025 = m. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -0*l. Let i = 5 + -1. Find the first derivative of m**i + l*m**4 + 4 - 2 wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {w: 2, j: 7, q: 2, r: 1}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5364  (b) 15  (c) -2  (d) -0.5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 416 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102\/5, 197, -6\/23 in decreasing order.\nAnswer: 197, -6\/23, -102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t**2 + 30*t - 363. Let n(w) = -13. Let m(c) = -15*n(c) + r(c). Factor m(l).\nAnswer: 3*(l - 4)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 29*z. Let f(d) = -5*d**2 - 402*d. What is f(g) + 5*s(g)?\nAnswer: -5*g**2 - 257*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 7*i**2 + 5*i + 3. Let g be m(6). Let y be (-4)\/(-2 - -1) + g. Sort 3, -2, y in increasing order.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376*n - m + 66001 = -372*n, n + 2*m - 16495 = 0. List the prime factors of n.\nAnswer: 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 4, -2, 1\/10, -449?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169586 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -12. Suppose -l*x - 4*x - 18 = 0. Let h = -1 - x. Solve h*p - 5*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (10 + 3 - 15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -0.6. Let j = 293\/5 - 296\/5. Let m = 383 + -382.7. What is the biggest value in j, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from glr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24250156 and 988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -5. Let h be (-130)\/18 - -3 - -4. Which is the nearest to m?  (a) -1\/9  (b) h  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n + 6. Let g be y(-4). Which is the nearest to -2\/3?  (a) 3\/14  (b) g  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 229 - 163. What is the greatest common factor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91616 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -48*d**3 - d**2 + 1. Let q be h(-1). Let i = -91 + q. Let j = i + 89. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and -111.\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 1 = -l, -5*l + 5*p - 3*p = -53. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-152)*144\/(-126)*35\/(-30)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 46 - 34. Calculate the remainder when 92 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 2:09 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7198640660 to the nearest integer?\nAnswer: 84845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -301313, -301312, -301311, -301310, -301309, -301308?\n\"Answer: j - 301314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, o: 4, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-20\/7)\/l)\/(l**(-24)*l)*((l\/(l\/(l\/(l\/(l\/(l*l*l**(-10)\/l))*l))))\/l)\/l**(3\/13) assuming l is positive.\nAnswer: l**(2449\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w + 0*w + 0*w)*(0*w**3 - 4*w**3 + 3*w**3) - 26*w + 58*w - 30*w - 30*w**4 as n + z*w**3 + p*w**4 + s*w + h*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -82659\nAnswer: -2\/82659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 94006637 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/4*(-40)\/29115. Let x = -141697\/3882 - w. Calculate the common denominator of (-2)\/((-64)\/142) - 0 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {j: 2, m: 2, z: 7, q: 1, g: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -294906864 by -56.\nAnswer: 5266194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-1\/9))\/g)**(-19\/2)\/(g*g*(g**(2\/11)\/g)\/g*g*g**(-9)*g*g) assuming g is positive.\nAnswer: g**(943\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - -1. Suppose -4*g = -f + 3 + 19, -z*g - 27 = -f. What is the second derivative of -6*o + 6*o + 7*o + 0*o**f + 7*o**2 wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/1 - -5)*(-100)\/(-6). Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.23 + -0.23. Let x = -651 + 981. What is the second smallest value in x, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/8*2*-13. Let t(d) = d**3 - 11*d**2 - 11*d + 8. Let m be t(11). Let p = m + 127. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1838.883303 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 34 - 118. Suppose 2*k = -4*p + m - 18, 4*k - 4 = 0. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110320?\nAnswer: 2, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/223?\nAnswer: -1\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 5*l + 5, 22 + 1 = -5*t + 2*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -63*c**5\/20 - 5*c**4\/24 - 2*c**3\/3 + 2*c**2 + 18. Let y be n(-1). Put 2, y, 3 in decreasing order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, 17, 108, 287, 584, 1029?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -110.49 + 105.2. Let s = l - -0.29. Let r = s - -4.7. Which is the biggest value?  (a) 0.2  (b) r  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2879\/7 + (-253)\/77 + 3. Let y = 1310 - p. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j + 61*j - 245 = 0. Let t(h) = h**2 - 3 - 3*h**2 + 3*h**2. What is t(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -607.2 - -607. Which is the third biggest value?  (a) j  (b) 2\/7  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -51, -73, -83, -75?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -10, -266 in ascending order.\nAnswer: -266, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 326 and 4?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 11 = 20. Suppose 0 = 2*m - 0*m - q - 5, -3*m = -t*q - 6. Solve 0 = -m*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h + 707. Let k(r) = 7*r**2. Determine k(b(t)).\nAnswer: 7*t**2 - 9898*t + 3498943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 8:37 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7226802 from -0.7694.\nAnswer: 7226801.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zissszrsrziri. Give prob of sequence zsr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16667 + -16667. Solve j = 16*l + 57 - 121 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 + -33.7. Let m = -5.3 + p. Let i = -1 - -2. Which is the closest to -2?  (a) i  (b) -1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-9)*h)\/((h*h*h**9*h)\/h*h))**47 assuming h is positive.\nAnswer: h**(-940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 - g**3 + 3*g**3)*(-141 - 7*g + 142 + g) - 34*g**2 - 5*g + 34*g**2 + g**4.\nAnswer: -11*g**4 + 2*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*t + x, 5*t = 5*x - 4*x - 3. Let y(i) be the first derivative of i**4\/4 + 2*i**3 - i**2 - 8*i - 3. Let j be y(-6). Put j, 2, t in ascending order.\nAnswer: t, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h**2 + 55*h + 50. Let y be t(-10). Let o(p) = -2*p - 4*p**3 + 2*p**2 + 3*p**3 - 3*p**2 + 217. What are the prime factors of o(y)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 11*p + 80 = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1231980 and -0.1.\nAnswer: -1231980.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 100\/50 + (-2 - (2 - (-1 + -1)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*n**5 - 96*n**3 - 979*n wrt n?\nAnswer: 260*n**3 - 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -228.8 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1582*-5\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 323957 (base 10) in base 14?\nAnswer: 860bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.447440751 rounded to 5 dps?\nAnswer: -0.44744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from nnooon?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 11:47 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 975396 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 204*m**3*v**4 - m**3*v**2 - 46*m**2*v**2 - 6*m*v**4 wrt v?\nAnswer: 4896*m**3*v - 144*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -771, -2182, -4259, -7026, -10507, -14726, -19707, -25474?\n\"Answer: -4*v**3 - 309*v**2 - 456*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 24 = -8*u. Suppose -7*a + 66 = -u. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 64\/30 - 1. Let h be ((-3)\/((-6)\/10))\/(-1). Let t = h + 2. Sort -0.1, t, r in ascending order.\nAnswer: t, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4*s**3 + 2*s**2 - 1. Let c be a(-1). Suppose 0 = -c*q + 3*q + 46. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 3*h + 41, 2*h + 53 - 27 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p. Let s(x) = -5*x + x - 20*x - 74*x - 31*x. Calculate s(i(v)).\nAnswer: 129*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -1. Let d be 7 - 5 - (2 - j). Let y be (-3)\/6*6*d. Which is bigger: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/5 of a century in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y + 3. Let k be w(1). Solve 4*j + 16 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2893 divide 52068214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.24  (b) -0.06  (c) 2\/9  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 119189 and 119189 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 1. Let v(q) = -2*q**2 - 47*q - 37. Let x(a) = 35*f(a) - 5*v(a). Suppose x(s) = 0. Calculate s.\nAnswer: -3\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, s: 17}. What is prob of picking 4 s?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = v - 9310, -8*v + 18600 = -6*v + q. Suppose 56*s + 898 = v. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 431\/2196 + -7\/122. What is the common denominator of m and 43\/99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(187)*3 - sqrt(187)) + sqrt(187))*-4)\/((sqrt(132) + 5*3*sqrt(132))\/sqrt(12)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gog when three letters picked without replacement from {g: 3, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1429.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -77670.\nAnswer: -155340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283888733?\nAnswer: 307, 924719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r - 4*r + 2*r + 0*r. Let w(o) = 3*o. What is v(w(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 34434.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m**2 + 6*m**2 + 10*m**2 - 23*m + 10*m**3 - 67*m.\nAnswer: 10*m**3 - 3*m**2 - 90*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1159 - 713 - 442 + 3453*w as n + z*w and give z.\nAnswer: 3453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*l = 10, 3*h + 155*l = 152*l - 3. Let x(k) = 8*k + 1. Let d(z) = -z. Determine h*x(r) - 6*d(r).\nAnswer: -10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 - 3*w - 3. Let i be l(3). Let s be (-8)\/(-20) + 9\/i. Suppose -d + c = 0, -2*d + 4*c = 3*d. Solve d = 3*r + 8 + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -4, 13*h - 2*l = 18*h - 8738. List the prime factors of h.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1337 - 2726 - 304 - 1891)*(0*j**3 + 6*j**3 - 14*j**3) - 3*j**3 + 2*j**3 + 0*j**3 to u*j + n*j**2 + f*j**3 + m and give f.\nAnswer: 28671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from gakkggkggkgkaat?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 15) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k + 3*k**2 + 1 - 5 - 2 - k**3. Suppose -2*i + 3 + 5 = 0. Give s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p - 11. Let d(b) = b - 3. Let i(o) = 4. Let f(t) = 3*d(t) + 4*i(t). Determine -8*f(h) - 5*q(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/2))**49\/(v\/v**(2\/3))**11 assuming v is positive.\nAnswer: v**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-5)*-5 - 7. Let j = 9 + v. Suppose -5*p - 4*o - 513 = -2844, j*p + o = 1867. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by (-3 + 12)\/((-3)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -106*u**2 - 1698*u - 35. Determine l(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159026 is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -234, -196, -90, 120, 470?\n\"Answer: 6*k**3 - 2*k**2 + 2*k - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/(-11) - 6647\/(-9724))\/((-1)\/2) and 89\/962.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - 6*b + 1. Let j be u(-2). Suppose j = -g - 60. Let v be (-18)\/g + (-16)\/(-9). Solve v*k = -3 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 + 19 = -14*z + 56 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -6. Solve 4*s = z*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-42))\/(24\/(-128)*(-36)\/54)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 27995.23m?\nAnswer: 27.99523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*f - 35028 = 19*f + 3*u, -35046 = -f + 5*u. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 9. Let a(s) = -6*s - 38. Give a(t) - 2*g(t).\nAnswer: -8*t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 10:21 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -31787 take away 27.2?\nAnswer: -31814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**5*u - 16*i**2*u - 78541*i**2 - 17*i*u + 136*i - 3*u + 1 wrt i.\nAnswer: 20*i**3*u - 32*u - 157082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - 12 - -8) + (-24 - (-7 + 2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*-43508.12.\nAnswer: -957178.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 + -2. Let g = 94 + o. Suppose -z + 3*v = -130, -4*v - 400 = -3*z + 15. Calculate the highest common divisor of g and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 9, l: 2, y: 8}. Give prob of picking 2 y, 1 j, and 1 l.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -416973775 divided by -25?\nAnswer: 16678951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbsm when four letters picked without replacement from {m: 1, b: 3, w: 2, s: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/332 and 63\/10.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*12\/(-2)*1. Let p be 14\/q + -2 - 8\/(-36). Is -2 + 57\/(p - (-15)\/6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1179 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a918 + 4?\nAnswer: -a914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 411979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 666239 is divided by 666223?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7472.153 years?\nAnswer: 89665.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -10. Let m(f) = f**2 + 0*f**2 - l*f - 2*f**2 - 4 + 2*f**2. Let v be m(6). Which is bigger: v or -9\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 450, 947, 1476, 2031, 2606, 3195?\nAnswer: 3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*s - 11. Suppose 0 = -2*h + 3*p + s, 3*h - h = -5*p + 4. Suppose b = h*b - 10. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.1 + -0.016\nAnswer: -8.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 311 divide 347884651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (1 - (12\/(-4) + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7, -17, -43, -97, -191, -337, -547?\n\"Answer: -2*h**3 + 4*h**2 - 8*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -50835 in ascending order.\nAnswer: -50835, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mthm when four letters picked without replacement from mhghqtymqtmq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220.7379ns to microseconds.\nAnswer: 0.2207379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 153*h - 775 + 775 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/4, 1\/8, 41, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 213357467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 706*s = 699*s + 147. What is the second derivative of s*c**3 - 21*c**3 + 11*c**4 - 213*c - 54*c**2 + 56*c**2 wrt c?\nAnswer: 132*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 9*y**2 - 19*y - 81. List the prime factors of b(20).\nAnswer: 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11790227\/5 + -2345270. Let a = -12837 + q. Let v = a - -2279\/40. What is the common denominator of v and -51\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-3)*(-9 - -15). Suppose 15*n - 48 = 14*n. Let p = 112 - n. What is the greatest common divisor of p and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.27  (b) -5  (c) -29  (d) 5  (e) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + (-210)\/112 + 4. Let l = -0.3 + 1.4. Let f = l - 0.8. Which is the third smallest value?  (a) -0.4  (b) f  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38873389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*q + 36 = -94*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-16)*c*c**(-9\/4)\/c assuming c is positive.\nAnswer: c**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-22)\/(-132) + 2\/6. Let w = -0.4997 + 0.2997. Which is the nearest to o?  (a) -4  (b) w  (c) 0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 4)\/((-18)\/(-4)). Let i = 4.41 + -987.41. Let j = 983.11 + i. What is the closest to n in -0.3, j, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d**3 + 2*d**3 + 33238*d + 265623*d.\nAnswer: 10*d**3 + 298861*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ipippiiippiiiipp. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8704.119 and 2433.\nAnswer: 11137.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - o - 1. Let b = 21068 - 42131\/2. Let g(r) be the second derivative of 0 + 7\/6*r**3 + 26*r + b*r**2 + 1\/2*r**4. Determine -g(c) - 5*p(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**(6\/7)\/v)*v*v**8*(v*v**3)\/(v*(v**(4\/7)\/v*v)\/v) assuming v is positive.\nAnswer: v**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21*a**5 - 3200*a**3 - 2551*a - 5.\nAnswer: 420*a**3 - 19200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 98760?\nAnswer: 197520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4263235 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 18 = -26*u + 12, -u + 4*x - 15 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-120)\/(-200) - 36\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 151111 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 46*v - 2. Calculate t(-2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1708*d**3*g**3 - 2*d**3*g - 18*d**3 + 20*d*g**3 + 21*g wrt g?\nAnswer: 10248*d**3*g + 120*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -21, -46, -89, -156?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89 (base 11) to base 14.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1903 (base 15) in base 8?\nAnswer: -12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = 4*o - 20, 2 = 2*u. Let x(t) = 3*t**3 - 4*t**2 + 2*t. Let n be x(2). Let s be (-6)\/(-18) - 16\/(-6). Solve -n = o*l, -s*f + 2*f - 2*l = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 88 = -2*y - 85, 3*y + 3 = -r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -y - 7. Which is the smallest value?  (a) y  (b) 0  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -242214 or -242279?\nAnswer: -242279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - (-519)\/6*12. Let s = v + -1819. Round s to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*p - 16. Let c(u) = -19 - 12 - 14 - p + 9*u. Calculate the remainder when 232 is divided by c(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 226840*c**2 - c + 34 - 224952*c**2.\nAnswer: 1888*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*2\/(-27) + -34*11\/99. Let r be 12\/(-10)*(-10)\/(-4). Which is the biggest value?  (a) -0.2  (b) 4\/3  (c) o  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 z when three letters picked without replacement from {c: 2, z: 9, l: 2, a: 6}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 11. What is the units digit of (-1 - b)*30\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/12 - ((-3)\/(-12))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(-2200)*-44)\/(1*1\/(-54))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 192 + -190. Find the third derivative of -3*t**2 + 34*t**b + 8*t**2 - 55*t**3 + 24*t**2 wrt t.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -366600 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 7096421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 11*r + 3. Let a(n) be the second derivative of 104*n**3\/3 + 28*n**2 + 41*n. Give 3*a(x) - 56*q(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-6) - 34\/51\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - 1955729713?\nAnswer: -1955729722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 3 = -5*g. Let i = 44.9 - 37. Let u = i + -2.9. What is the biggest value in 4, g, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7391 by 19.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d = -15 + 65 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 13 - 1, 5*b - 4*u = -28. Which is smaller: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 192 - 209. Let o(m) = m**3 + 18*m**2 + 20*m + 51. Let k be o(i). Solve -z - 3*y + 6 = k, 2*z + y - 7 + 0 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2364\/(-394)*((-6)\/(-4))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 63127.94l in millilitres?\nAnswer: 63127940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 164 times -7958?\nAnswer: -1305112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, -3\/4, -0.23, -9, -2\/13, 0.4, 3\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 65*i - 58*i. Differentiate -4*n + i*n + 105 - 110 wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iusiogseu. Give prob of picking 1 e and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a - 68*a**2 + 3*a - 62*a**2 + 2*a**3 + 128*a**2 + 2 + 2*a as d*a**2 + j + q*a + t*a**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 2, y: 1, b: 1, r: 1, o: 1, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + 1. What is the tens digit of w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, s: 4, j: 1, o: 1}. Give prob of sequence ss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 9*a**3 + 2*a - 2. Suppose 5*v + 41 = 11. Let d be 15\/v*(-52)\/130. Give f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13649 - -13653. Let q be 14 - (2 + -1 - 3). Solve x*t - q = 8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 6:34 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -10*f**3 + f - 2. Let c be k(-2). Calculate the greatest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2341*r**2 + 11*r + 1. Let u(j) = -2330*j**2 + 16*j + 2. Let a(c) = 5*u(c) - 4*z(c). Find the second derivative of a(v) wrt v.\nAnswer: -4572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -51 - -41 - 488257\/(-11).\nAnswer: 199, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q + 0*q + 4*q)*(-33*q + 68*q + 67*q) to the form n + v*q**2 + a*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - q**2 - 1. Let l(a) = 7*a**2 + 8*a - 10. Let b(d) = -l(d) + 2*o(d). Calculate b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7567 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 369*p**3*z**3 + p**2*z**3 + p*z**3 - 284*p*z**2 wrt p?\nAnswer: 2214*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4 - 39\/(-6). Let v(n) = w - 3*n + 4*n - 5. Let z = 3 + 2. What is v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -140*c + 297. Let s(d) = 18*d - 37. Let y(q) = 6*n(q) + 51*s(q). Find the first derivative of y(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 21 = a, 2*a = -0*k - 3*k + 17. Suppose -4*s + 3*t = -3932, 4908 = k*s - 0*t - 2*t. Round s to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 + 8 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -25 - (-37 - (1 + -20))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -362 (base 12) in base 11?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w + 82. Let l be r(20). What is the second derivative of 4 + 0*n**2 + 455*n**3 - 451*n**3 - 4*n**l + 4*n wrt n?\nAnswer: 24*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1785.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -35534646 (base 7) to base 15\nAnswer: -423d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6695 is divided by 897?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 29703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.1 + -12.1. Which is the biggest value?  (a) 0.026  (b) v  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from tvvtptpttvttv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from orrrrkrocoror. What is prob of picking 1 r and 1 k?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 9*c**2 - 9*c + 7. Let o be k(-8). Suppose -12 = 5*r - 4*q, -q = 3*r + o - 1. Let a = 4 + r. Solve a = -2*l - n - 6, -l = 4*n - 9*n - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(-q**2 + 3*q - 3*q) - 5*q**2 - 8*q**2 + 15*q**2 + (6*q - q - 3*q)*(4 + q - 4) + 3*q**2 - 5*q**2 + 3*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1343 - 2688 + 1350 + 1031*i**3 - 73*i wrt i?\nAnswer: 6186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -3034499235.\nAnswer: -3034499240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24253862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1359520?\nAnswer: 2, 5, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.137 - 25.137. Let t = q + 25. Which is the nearest to t?  (a) -2  (b) -0.2  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/65?  (a) -7.01  (b) -2\/15  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 17*b**2 + 2*b + 1. Let f be l(3). Suppose 7*m = 2*m + f. Calculate the remainder when m is divided by -1 + 13 + (1 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -169760, -339507, -509254, -679001, -848748, -1018495?\n\"Answer: -169747*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 44*x**2 + 31*x - 79. Let i be y(22). Let q = -4575835\/146 - i. Calculate the common denominator of q and 117\/20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 60.837 in -1, -2\/13, -0.9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 95600699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 16 = -2*p, -13*r = 5*p - 18*r - 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010112 rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 115423 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2793) - sqrt(2793)*1)\/(-2*sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**14*z*z**4\/z*z*z**21*z\/z**(5\/11) assuming z is positive.\nAnswer: z**(446\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*z + 11*z + 10*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - q + 3. Suppose -8*h + 12*h = -2*i + 10, -3*h - 5*i + 11 = 0. Determine x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -197056, 0, -2, 1, 5 in descending order.\nAnswer: 5, 4, 1, 0, -2, -197056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268011626?\nAnswer: 2, 8963, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*d + 4*b + 37 = 0, -d = -4*b + 13. Let w be 1\/2 - d\/10. Let f(i) = 1 + i + w + 1. Give f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 48*d + 94. Let w be t(-2). Sort -17, w, 4 in decreasing order.\nAnswer: 4, w, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**2 - 32259532*q - 130084675607378 = 0.\nAnswer: -8064883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 26778 (base 11) to base 6\nAnswer: 452504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(187)*2*-4 + sqrt(187) - (sqrt(187) - (1*sqrt(187) - sqrt(187))*1))*-6)\/((-2*((sqrt(99)*-3 - sqrt(99)) + sqrt(99)))\/(-3*sqrt(1089))).\nAnswer: -1320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-10\/9)*y\/y**(-32))**24 assuming y is positive.\nAnswer: y**(2296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-637 - 17 + 132)*(-2*y + 3*y - 2*y) as k + u*y and give u.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/(-16))\/(18\/(-144))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 271.75  (b) 1  (c) -0.3  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -y**4\/4 + 4*y**3\/3 + 9*y**2\/2 - 4*y - 8. What is x(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2\/11, 3, 1.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -187345, -749489, -1686579, -2998765, -4686197?\n\"Answer: -25*m**3 - 187323*m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1876 - 0.0476. What is the closest to 1\/3 in q, -0.7, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2846211*q - 2846211*q - q**2 - 2125*q**3 to the form p*q + i + v*q**2 + z*q**3 and give z.\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-3) - 1 - 4\/(-6). Let m(r) = -2*r + 16. Calculate the smallest common multiple of m(t) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 15115992 = -c, 5351196 + 39996812 = -3*c - 2*s. What is c rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5632 * -0.5.\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 350 divided by -202.\nAnswer: -175\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - 2*h**2 + 2*h + (-2 + 2 - h)*(h + 3*h - 3*h))*(2*h + 4 - 4).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + -3 + 28\/10. Let r(o) = o**2 + 26*o - 25. Let l be r(-27). Which is the biggest value?  (a) l  (b) 0.4  (c) 0  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 10*w**2 + 12*w + 9. Give y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 9:38 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 301994 and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30326557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -3531 bigger than -3532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23367 (base 8) to base 14.\nAnswer: -38c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/15 and 73371\/463239 - 210\/1330.\nAnswer: 40635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -6*i**2 + 2*i + 3. Suppose 19*y = 53 - 167. Let d(s) = -7*s**2 + 2*s + 3. What is y*j(c) + 5*d(c)?\nAnswer: c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 4*h - 42 + 2, 4*u + h + 115 = 0. Let j = 38 + u. Which is bigger: 1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 + 10*f - 10*f - 2)*(0*f + 6*f - 3*f).\nAnswer: -6*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) 184  (c) 2  (d) 2\/75  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -155 + 157.9. Let x = -24.9 - -21. Let z = q + x. Which is greater: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j**3 - 3065*j**2 + 36220*j - 96160 = 0.\nAnswer: 4, 8, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 1000100111011011?\nAnswer: 1000100111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m**2 + m**2 - 3*m**2)*(2 - 1 - 3)*(4 + 2 - 5) to the form d + p*m**2 + v*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1168, 1163, 1158?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffp when three letters picked without replacement from ffppppppppf.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -124*c**4*n**3 - 15*c*n**3 - 2*n**3 + 52*n**2 - n wrt c?\nAnswer: -496*c**3*n**3 - 15*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-184)\/(-40) + (-6)\/10. Find the first derivative of 4*g**s + 25 - 3*g**4 - 22 + 4*g**4 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -6, 11, -524?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 752 and 16732?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 252 divided by -4\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3875.848 days to hours.\nAnswer: 93020.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u - 2*u - 2*u)*((19 - 19 - 3*u**2)*(2 - 2 + 1) + (u - 4*u + u)*(-u + 0*u + 0*u) + 2*u**2 - 3*u**2 + 2*u**2 - 2*u**2 - 4*u + 4*u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/30)\/((-6)\/8). Which is the second smallest value?  (a) 2  (b) -3  (c) h  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -703 - -1539. What are the prime factors of (-8)\/52 - m\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + q = -66. Suppose -q = -4*s + 2*s. Solve -s = -4*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 42 = -5*z - 1, 4*z - 2*g = 32. Suppose 5*h = -2*o + 31, -z*o - h + 27 = -4*o. What is the third derivative of 3*v**2 + o*v**4 + 3 - 9 + 6 wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61 + -60.983. Let i = -0.017 + x. Let w = 32.2 + -32. What is the nearest to i in w, 1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -57 + -2?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, -0.031, 4?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2058, -2043, -2016, -1971, -1902, -1803, -1668, -1491?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = c + 390, -1540 = 13*k - 17*k - c. What is the remainder when 1558 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -27, 4, 87, 240, 481, 828?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -258 + 228b?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 30 = 2*y, -5*y = -4*y - 5*h - 12. Suppose -2*t - y = -3*t. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*(sqrt(405)*-1 - sqrt(405))**2.\nAnswer: -6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*c**3\/2 + 2381*c**2 + 181951*c\/2 - 35574 = 0 for c.\nAnswer: -77, 12\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2029*l - 134*l**4 - 2029*l + (l**2 + l**2 - 3*l**2)*(2*l**2 - 3*l + 3*l) to c*l**2 + y + m*l + s*l**3 + n*l**4 and give n.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/170520 and -61\/444.\nAnswer: 6309240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.56148 to 3 dps.\nAnswer: 0.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.44 + -19.24. Let z = 41.2 - f. Which is the third biggest value?  (a) z  (b) 0  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 233035052 + 0.005.\nAnswer: 233035052.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 1:20 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**3 - 1697232*s**2 = 0.\nAnswer: 0, 565744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + k + 16 = 0, 0 = -0*g - 4*g - k + 20. Let t(j) = 7*j**2 + j + 7. Let y be t(6). Suppose -g*d + y = -d. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -10*(-24)\/112 - (-1)\/(-7). Let g(l) = 2*l**2 + 5. Calculate the remainder when g(4) is divided by (-8)\/n*1102\/(-232).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {a: 4, z: 3, g: 1, n: 11}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + 2*c)*((-3 - 1 + 2)*(-3 + 2 - 1) - 2 + 3 + 1 + 1 - 5 + 5 - 762 - 1849 - 4085).\nAnswer: 6689*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11018 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816)*-2 + sqrt(2816))*2*-3)\/(-1*(1*sqrt(64) + -5*sqrt(64))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**3 - 3*i + 1. List the prime factors of w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 175626649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 0.3, -5 in increasing order.\nAnswer: -5, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 73 = -k - 54, 2*k + 5*g + 241 = 545 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 3. Suppose 0 = c*p + 3*k - 71, -3*p - k + 3*k + 113 = 0. Let f = p + -16. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -26, 5, 70, 181, 350?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 3 s when four letters picked without replacement from qqqqsqqsqqqssqqqsqs.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 65411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 359 a factor of 820385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 39486671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1124  (b) -2  (c) -1\/7  (d) -1\/5  (e) 1\/4  (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -34 - ((1 - -2) + -2). Let s be 24\/v - 4\/(-14). Let t = -0.0828 + 0.1828. Which is the closest to s?  (a) -0.3  (b) t  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*g - 45*g - 26*g = -2528 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(((-6)\/4)\/((-72)\/(-32)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (291\/(-12))\/(2 + 7\/(-4)). Let b = z + 99. Factor 1\/4*j**b + 0 + 1\/4*j.\nAnswer: j*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.1  (b) -14  (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 532 and 4534559.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j**3 - 2*j**2 + 3*j + 3. Let w(z) = -z**3 + z**2 - z - 1. Suppose 5*p - 8*p + i = -13, -5*p + i = -19. Determine p*w(m) + u(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 6. Suppose 0 = 4*y - 4 - 20. Suppose 0 = 23*h - y*h + 153. What is x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*d**2 + 104*d**3 - 54*d**2 + 39*d**3 + 14*d**2.\nAnswer: 143*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 24\/18)\/((-212)\/24 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0383*2\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 15*j**4 - 4*j**3 - 12. Let q(c) = -c**4 + c**3 - 1. Let x(y) = -o(y) - 4*q(y). What is the first derivative of x(s) wrt s?\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + ((-11)\/(-4) - 3\/4). Let f(l) = l**2 - l - 22309 - 42704 + 11013. Let d be f(c). Round d to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 7 = t + 7, -3*t + 8 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/((h**(-4)\/h)\/h)*h)\/(h*((h\/((h\/((h\/h**(-2))\/h*h)*h)\/h))\/h)\/h*h)*h**(-4\/9)\/h**(-9) assuming h is positive.\nAnswer: h**(131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -13*g**2 - 16787*g + 4 + 30*g**2 + 16790*g. Calculate k(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405 bigger than 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l - l - 3*l - 16 + 3*l. Give q(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + 0*i**2 - i**2)*(5*i - 4*i + 0*i)*(-3*i + 0*i + 5*i + 1).\nAnswer: -4*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v + 0*v**2 + 4*v**2 + v**2 - 2*v**2 as t + k*v**2 + n*v and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 218 and 4687327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*j + 4*y - 68, -15*y + 995 - 806 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5967 and 3?\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3*b + 36 = 0. Let t be 14\/7*b\/3. Solve -2*x + t*x - 4 = 2*f, -5*x = f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - 34. Let q = y + 67. What is the highest common divisor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -553, -556, -569, -598, -649, -728, -841?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 644\/(-56) + 0 + ((-36)\/(-8) - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1529, -10111, -33419, -78821, -153685?\n\"Answer: -1228*r**3 + 5*r**2 - r - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*p = -20*p - 4. Suppose 1 = -5*a - p*y, -5*a - 2*y + 0*y = -7. Let u be 2\/((-28)\/12 + a). Which is smaller: 12\/5 or u?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w. Let c(j) = -42221*j + 24. What is n(c(q))?\nAnswer: 42221*q - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -3*c**5 + 87*c**4 - 243*c**3 + 237*c**2 - 78*c = 0.\nAnswer: 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-901)\/544)\/((-303)\/(-9696)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 966607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 111 - 74. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 8*f**2 + 10. Let d = -17 + -5. Calculate the lowest common multiple of 1\/(1 - 3)*d and m(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 5*n - 148. Is 37 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66 + 69. Find the second derivative of 61*j**3 - 10*j - 61*j**g + 18*j**5 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h - h - 3*h)*((4 + 3*h - 4)*(3*h - 2 + 2) + h**2 - 4*h**2 + 7*h**2)*(0*h + h - 3*h) as c*h**4 + d + i*h + s*h**3 + y*h**2 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**2*x**3)\/((x**(-3\/7)\/x)\/(x\/(x*x**6*x))))\/((x**0)**(-30)*(x\/(x\/x**0))**(-12\/19)) assuming x is positive.\nAnswer: x**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007899 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*b = -2456 + 1620. Solve 8*v + 29 = -5*r + 12*v, 4*r - 3*v = -b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 9*t - 8528. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*s**3 + 230*s**3 - s + s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/7)*l)**(-3\/16)\/(l**23*l*l**4) assuming l is positive.\nAnswer: l**(-3151\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 381568 divided by -5962?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2332, 4137, 7134, 11317, 16680, 23217, 30922, 39789?\n\"Answer: -g**3 + 602*g**2 + 6*g + 1725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k - 13*k - 8*k + 17*k + 8*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/13)\/a*a\/(a*a**(-23)) assuming a is positive.\nAnswer: a**(289\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5.5 times 9055\nAnswer: 49802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**2 + 96*a - 1866. Calculate k(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of -g**5\/120 + 17*g**4\/24 + g**3\/3 - 14*g**2 - 2*g - 18. Let f(l) be the second derivative of s(l). Determine f(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-3) + 1637695\/51. Let a = 95112 - b. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -870*m + 868*m + 7*z + 46, -m - 7 = 4*z for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 720 divide 1060752960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 99612043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(396) + 1).\nAnswer: -24*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 651322.5 litres to millilitres.\nAnswer: 651322500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dgr when three letters picked without replacement from ahddggrhdaaahaad?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 3*m**2 - 4*m + 2. Let n be d(2). Let f(c) = -2*c**2 + 44*c + 70. Let x be f(21). Calculate the greatest common factor of n and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*-3895.\nAnswer: 31160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -28751141, -28751142, -28751143, -28751144, -28751145?\n\"Answer: -b - 28751140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -133 (base 8) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*a = 418*a + 5*u - 5, 3*a = -3*u + 15 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3204*m - 3333*m + 3483. Find n such that m*n**2 - 153\/8*n + 3\/4 = 0.\nAnswer: 1\/24, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 122307070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -907794 times 735?\nAnswer: -667228590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322 - 25577*s**3 + 322.\nAnswer: -25577*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + 2. Calculate the smallest common multiple of 108 and q.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 1361*o**2. Let y(d) = -3*d. What is y(h(i))?\nAnswer: -4083*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (-3*3)\/3. Suppose 3*u = l + 4, -8*l + n*l + 8 = -4*u. Suppose -2 = k - l. Solve -2*s + 4*s = 2*t - 12, -5*s + k*t - 20 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4388274*y**5 - 631969*y + 3.\nAnswer: -87765480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -488 + 4?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*n**5 - 6856*n**4 + 39244*n**3 + 4344*n**2 - 156784*n + 92320 = 0. Calculate n.\nAnswer: -577, -2, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 + 3 + -5 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21706 or 21705?\nAnswer: 21705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, i: 2, v: 1}. Give prob of picking 1 i and 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-207)\/12 - 33\/(-132). What is the nearest to w in 8, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6600\/1122)\/(-25)*(-119)\/68.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 3*q**2 - 7*q - 5. What is d(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 8*z + 66. Is 11 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 238677*j**3 + 3*j + 275450*j**3 - 3*j.\nAnswer: 514127*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 216\/(-2835)*-28 - (-13)\/(-39)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, o: 5, i: 1, y: 3, t: 8, x: 1}. Give prob of sequence yo.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -336, -760, -1354?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 7 + 13)*(2*k**3 + 0*k**3 + 0*k**3).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7045 - -7099. Which is smaller: m or 59?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-6 - (32 - 6 - 10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-455)\/1092)\/((-1)\/2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**4*h**4)\/(h**(-2)\/h)**(1\/52) assuming h is positive.\nAnswer: h**(419\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*r + 53 = 48, -2*r = -4*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*f + 2*j = -14, -2*j - 2 = f. Let s be (1 - 2)\/(2\/2). Is (-58 + 1 - f)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + f**2 + f + 4. Let o(i) = -3*i**3 - 3*i**2 + 8*i + 27. Let b(y) = 4*m(y) - o(y). Determine b(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 + p**3 - p**3 + (-3*p + 3 - 3)*(3*p**3 + 2*p**3 - 4*p**3) + 2*p**4 + p**2 - p**2)*(-5 + 182 + 120).\nAnswer: -891*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d*d*(d\/d**(-2\/17))\/d)*d)*d*d**(1\/10)*(d**(3\/4)\/d)\/d*d*d**(-5\/2))\/(d**(-2\/17)\/(d*d\/d**(-3\/8)))**(1\/4) assuming d is positive.\nAnswer: d**(2967\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 6*n + 2. Let y be s(6). Let m be (-19)\/190 + 22945\/(-50). Let u = m - -461. Solve y*f - 4*i - 2 = -0, -2*f + u*i = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*j - 1 + 12 - 18 + 2 to i + b*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130466.\nAnswer: 2, 7, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 j when four letters picked without replacement from {j: 3, u: 13}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -203772581 - -3?\nAnswer: -203772577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 t, and 2 c when four letters picked without replacement from {j: 4, t: 1, q: 2, c: 10, u: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -0.4, 2, -0.1, -5 in decreasing order.\nAnswer: 2, 2\/5, -0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2497570 divided by -5.\nAnswer: 499514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 7:06 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + -1 + 44 - 2. Let m(p) = 2*p - 6. Let w be m(-3). Let u be ((-6)\/(-4))\/(n\/w). Put -0.4, 2\/11, u in increasing order.\nAnswer: u, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5537204 and -9401.\nAnswer: -5546605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 40*j**3 - j**2 - 2*j + 3. Let m be r(1). Let z(f) = -f + 4. What is the least common multiple of z(2) and (m\/3)\/((-12)\/54*-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 935 is divided by 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/2*1\/2. Let d = -1 + 1. Suppose u - 2 = -c, u - c = -d*c. Is u bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 2930. Is z a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -5, -2, -3.7266?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-3 - 40 - -3)) + (-5 - -39 - 28).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1123318935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -1 + 2 + 117*m + 4 - 113*m. Suppose 0 = -3*w - 3*s + 3, 3*s - 14 = 4*w - 2*s. Let x(y) = y + 1. What is w*k(b) + 5*x(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4 = r, r - 4*k + 6 + 7 = 0. Let a(p) = -p**3 - 9*p**2 - 10*p - 22. Is a(r) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47568 - 47560. Suppose -2*v - 5 = -7*v. Let n be v + (-2)\/(2\/(-3)). Solve 0 = -2*z - t, z = -0*h + 2*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*c**2 + 9*c**2 + 34*c**6 - 2*c**6 wrt c?\nAnswer: 3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 6073*z - 139. Determine g(0).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -95, -155, -249, -371, -515, -675, -845, -1019?\n\"Answer: i**3 - 23*i**2 + 2*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 471 minutes after 6:02 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 3*t**2 - 13*t**2 + 0 + 6*t**2 + t**2 + t**3 to the form z*t + o*t**3 + b + d*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -25*j - 162. Let b be a(-7). Let p be 60*(b + 8\/8). What is the highest common divisor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 10*l + 3. Suppose -5*b - 75 = -5*p, -5*p + 3*b = 4*b - 45. Let j be x(p). Suppose j*k - 2*k = 26. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + sqrt(162) + 0 + 2)**2*4*-5 + -5.\nAnswer: -13045 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(8\/12)*-1. Let i(r) = -15*r**3 + 2*r**2 - 5*r - 5. Let s be i(f). Suppose s = 3*x + 7. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -235*v*x**4 - 18*v - x**5 + 6*x**2 + 2*x + 5 wrt x.\nAnswer: -5640*v*x - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hhaphehesh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 4*t**2 - t. Let b be s(4). Let f(o) = -2*o**3 - 5*o**2 - 3*o - 4. Is 14 a factor of f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 5 - 7\/6*c**6 - 2\/3*c**3 + 0*c**2 + 0*c**5 + 0*c + 0*c**4. What is the third derivative of m(p) wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 2*k = -20, -3*r + 4436*k - 78 = 4444*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - (-4 - -12))\/(-2). Which is the second biggest value?  (a) 0.03  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*w + 7*w + 17*w)*(2 - 80*w**2 - 8 + 162*w**2) to c*w + z + j*w**3 + o*w**2 and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -0.04274, 15\/4, -0.22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -124*f**2 - 208*f + 80.\nAnswer: -4*(f + 2)*(31*f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 12. Suppose 0 = 5*d - 71 + n. Solve 2*c + 2*c + d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2492023 + (-2 + 0 - -4). Let d be 4\/(-18) - j\/437616. Let u = 21\/1013 - d. Calculate the common denominator of u and -47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102230*p**3 - 7*p**2 + 3702?\nAnswer: -613380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42882264 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/((-2)\/(-16)). Sort -6, v, -2 in increasing order.\nAnswer: -6, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 305*u**2 + 8*u + 230. Let t(g) = 2*g**2 + 2*g - 1. Let i(f) = -4*t(f) + v(f). What is the derivative of i(a) wrt a?\nAnswer: 594*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + (0 - 2) - (-2)\/(-2). Let o be ((-14)\/12)\/(f\/(-8)). Factor -8\/3*l + 3*l**4 - 10*l**3 + 0 + o*l**2.\nAnswer: l*(l - 2)*(3*l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265638 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 + 1 - 36*l + 39*l in the form h + y*l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 127637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1904 - -1958. Calculate the remainder when 1187 is divided by p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4310 + 2340 + 410*b**2 + 2279 wrt b?\nAnswer: 820*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 3.1. Let y = -3.111 + 0.011. Let s = y + k. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363504, -363411, -363256, -363039?\nAnswer: -362760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of b**5\/30 - 1492*b**2. Let n(s) = -1086*s. Give j(n(i)).\nAnswer: 2358792*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q + 195. Let u be d(8). What is the hundreds digit of (-2 + -12 - -7) + u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -11546.63\nAnswer: -11540.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 4:21 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**3 - l**2 + 5*l - 4. Give z(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**3 - 2*r**2 + r. Let k(l) = -551*l**3 + 6*l**2 - 3*l + 854. Let h(j) = -3*b(j) - k(j). What is the first derivative of h(z) wrt z?\nAnswer: 1671*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/11)\/n**7)**(2\/135)*((n*n\/(n\/(n*n**(-2\/5)))*n*n)\/n*n**12)**(12\/11) assuming n is positive.\nAnswer: n**(23494\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 4:42 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108 - -167. Let f = x - 59.78. What is f rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4772632560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 + 251*t**2 + 1478*t + 1960.\nAnswer: (t + 2)*(t + 4)*(t + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 76  (b) 2\/99  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -590 - -593. What is the derivative of -2*c**2 - 218 + 2*c**2 - 29216*c**3 + 29268*c**a wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 12:06 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + -5 + -25 - (-2 - (-6 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32994.1213 + -6.8787. Let r = z - -32962.9932. Let q = -38 - r. Round q to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53998689.\nAnswer: 3, 17999563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b + 3. Let j(n) = 4*n - 3. What is 2*h(k) + 3*j(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3085818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -66*l**2 + 4*l + 5. Let t(r) = -r**3 - 8*r**2 + 65*r - 11. Let q be t(5). Let n(y) = 13*y**2 - y - 1. Determine q*n(f) - 2*h(f).\nAnswer: -11*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -66, -128, -190?\n\"Answer: -62*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 6*u - 8. Let o be p(-6). Let r = o + 18. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 16) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305808.\nAnswer: 2, 3, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.02243 and 775 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 13, 1, 2\/471, 0?\nAnswer: 2\/471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*o**3 + 106*o wrt o?\nAnswer: -210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fktzkxxfxxtxxf. What is prob of sequence kff?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10439587129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83 + 83 + 2376*f**2 + 3087*f**2 - 5465*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogv when three letters picked without replacement from {p: 1, o: 2, t: 1, i: 1, v: 2, g: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 149019 and 780.\nAnswer: 2980380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-5) - 2)\/(30\/(-2175)). Suppose s - 239 - j = 0. List the prime factors of s.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j - 312 = 7*j. Suppose -5*z = -156 - j. Calculate the remainder when 59 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 358 - 358. Let q(z) be the third derivative of 1\/180*z**6 - 2\/45*z**5 - 1\/36*z**4 - 2*z**2 + 0*z**3 + g + 0*z + 4\/315*z**7. Find a such that q(a) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/12)\/(6\/(-9)). Suppose 7*v - 2*v = -10. Let a = 6 + -7. What is the nearest to a in n, v, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**5\/4 - 85*x**4\/4 + 957*x**3\/2 + 3121*x**2\/2 + 6407*x\/4 + 2163\/4 = 0. What is x?\nAnswer: -103, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5959 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**2. Let r(q) = -q**3 + 2*q**2 + q + 2. Let p be r(-3). Let v(a) = -22*a - 44 + p - 34*a. Determine v(i(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10803714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1876\/(-67))\/((-6)\/3))\/(4\/(-30)*5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p + 4. Let d(q) = -1. Let s(o) = -2. Let l(w) = -d(w) + s(w). Calculate -j(n) - l(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101000111001111000001 + -111?\nAnswer: -10101000111001111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1126, 2252, 3378, 4504, 5630, 6756?\nAnswer: 7882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -9*f + 188*f**2 - f - 2*f - 28 - 186*f**2. Let b be a(8). Sort 10, 2, b.\nAnswer: 2, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -26604, -26055, -25506, -24957?\n\"Answer: 549*s - 27153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 511630.49 days?\nAnswer: 73090.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9779053mg in grams?\nAnswer: 0.0009779053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -54378e (base 15) in base 12?\nAnswer: -1415375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 2 = 4*f - u, 0 = 4*f - 4*u. What is the closest to -1\/2 in -1\/2, f, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -3*s**2\/2 - 1. Let j = -32 - -40. Let o(z) = -2*z - 2*z - 3*z + j*z. Give h(o(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b - 5 + 107*b**3 - 108*b**3 + b. Let z be m(2). Let n be (-19)\/z - (-56)\/(-42). Solve -y + 3*y - 31 = 5*w, -5*y + n = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1966241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 652\/44811?\nAnswer: 652\/44811","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 10*v**2 - 10*v + 13. Let l be x(-11). Solve l = 3*h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 + 10*l - 13. Determine g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -5*p - 170. Calculate v(-28).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 378 = 3*z, -5*f + 9*z - 10*z + 376 = 0. Let t(s) = -14*s**2 - 3*s + 2. Let x be t(2). Let g = f + x. Solve 5*c = -0*c - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4928)\/11484 + 4\/18)*(-14 - (-26)\/2)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 3:24 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 - 1) - (59 - 67)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.3, -789, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + -2. Let v = 71.8789 - 0.0789. Let r = 72 - v. Which is the smallest value?  (a) t  (b) r  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 248 - 2730\/11. Which is the smallest value?  (a) t  (b) -0.1  (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 30*l**4 + 4*l**2 - 14. Let b(w) = 6*w**4 + w**2 - 3. Let s(h) = -14*b(h) + 3*m(h). What is the third derivative of s(j) wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 5*q + 61. Let b = q - -37. Calculate the remainder when 44 is divided by -2*(-4)\/(b\/30).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k + 15*k = 468. Suppose 0 = -0*c - 2*c + 4*a + k, 4*a = -12. Solve -5*m = -c*z - 27, 0*z - 9 = 3*z + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47280 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-6)\/(-9)*-103)\/((-7)\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 - 2*w**3 + 0*w**2)*(5*w**2 - 7*w**2 - 11*w**2) + 2*w**2 + 2*w**5 - 2*w**2 + (w**2 + 2 - 2)*(0*w**2 - w**3 + 0*w**2) + 4 - w**5 - 4.\nAnswer: 26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 less than 15013068915019?\nAnswer: 15013068915019.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 120379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022344430 (base 5) in base 7?\nAnswer: -24205206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + -112367?\nAnswer: -112365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 6, 2, 4 in descending order.\nAnswer: 6, 4, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7*(-500)\/280)\/(1\/(-2)). Solve -3*i - y - 5 + 15 = 0, 3*i - t = 2*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 15*v.\nAnswer: 5*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -w + 5*w - 384, 290 = 3*w + 4*h. Let u(i) = i**3 + 9*i**2 + 2*i + 7. Let a be u(2). Let b = w - a. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(2\/13))**(-38)*((b*(b**(-20\/7)\/b)\/b*b)\/b)\/(b\/(b*(b**(3\/7)\/b)\/b)) assuming b is positive.\nAnswer: b**(-3420\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -3*v**7\/70 + v**5\/15 - 9*v**2. What is the third derivative of p(g) wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ahtoahothotat?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*b = -70, 4*n - 70 = -n - 2*b. Let f = 17 - n. Solve 13 = f*p + 2*r, r = -2*p + 3*r + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 15*v**3 + 12*v**2 + v + 87. Is z(10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -13, -39, -79, -133, -201, -283?\n\"Answer: -7*b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = 2*t. Let b be (t\/15)\/((-5)\/(-6)). Let i = -9 + 9. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1967, 3, -12 in ascending order.\nAnswer: -12, -1, 3, 1967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1108943*l**4 + 54478.\nAnswer: 4435772*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, l: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 3122312303222?\nAnswer: 3122312303230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2 + 11496*n - 216980 = 0 for n.\nAnswer: 19, 2855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3 + 3. Let m = h + 22. Let i = m + -13. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n**3 - 1677*n**2 - 7299*n - 5632. Determine l(-331).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a - 1. Suppose -4*n + 36 - 4 = 0. Suppose -2 = 5*h + n. Let z(k) = -2*k + 2. Calculate h*z(m) - 5*i(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 19344215 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 68 + -71. Is 22 a factor of m\/(-9)*1*669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 622*m**2 + 273658*m - 9689. Give r(-440).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g**2 - 2*g**2 + 4*g**2)*(-4 - 2*g + 4) + 3*g**3 + g**3 - 3*g**3 - 26*g**3 - 135*g**3 + 30*g**3.\nAnswer: -122*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -2\/7, -5, 0.1, -380\/11, 4 in descending order.\nAnswer: 4, 2\/7, 0.1, -2\/7, -5, -380\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 16, a: 3, v: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 103*q + 594*q**2 - 595*q**2 + 129*q + (-1 + 1 - 2*q)*(q - 2*q - q) in the form w + j*q + z*q**2 and give j.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, m: 2, z: 2, f: 2, p: 1}. What is prob of picking 1 p, 1 m, and 1 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(112) + sqrt(112) + 1)*-2*5*1)**2.\nAnswer: -89800 - 3200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427*g - 21 + 188*g + 2.\nAnswer: 615*g - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1458030 and 3332640.\nAnswer: 23328480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 + 39 + 3*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*m + 70*m - 138*m + 23*m**2 - 4*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 7*w. Suppose 0 = r + 4 - w. Suppose 49*s - 50*s + 5 = -v, 3*s = 15. Sort v, -1, r in descending order.\nAnswer: v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7)\/(-14) - 17\/68. Factor -1\/2 + 1\/4*r**3 - b*r**4 + 3\/4*r**2 - 1\/4*r.\nAnswer: -(r - 2)*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3369 in -1.8, -1, 18\/5?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**5\/u*u**(-8\/7))**(2\/27) assuming u is positive.\nAnswer: u**(40\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 54630361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5160977 divided by -1.\nAnswer: -5160977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -749 + 205 = -4*c. Suppose -2*k + y + 2 = 0, -y = 3*k - 8 - 0. Suppose -132 = 3*i - 5*i - 4*w, -k*i = 5*w - c. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 0*u**2 + 0*u**2)*(-4*u**2 + 6*u**2 - 3*u**2) - 5*u**4 + 3*u**4 + 3*u**4 + 2*u**2 + 3*u**4 + 15 - 13 + 4*u**3 - 3*u**2.\nAnswer: 2*u**4 + 4*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 415067439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -2  (b) -2427630  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**34)**21 assuming d is positive.\nAnswer: d**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 899 and 998913?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -11, -1, -4, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**4)\/q**(-5))\/(q\/q**0*q)**(-1\/6) assuming q is positive.\nAnswer: q**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -12*3*3\/(-27). Factor -x**3 - 1\/3*x**2 + x - 1\/3*x**g + 2\/3.\nAnswer: -(x - 1)*(x + 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 2. Let t(s) = 5*s**2 + 11. Let f(q) = 4*t(q) + 22*z(q). Let i(w) = -5 + w + 5. Calculate i(f(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/(-6))\/((-3)\/(-48)). Suppose -15*s = -i*s + 4. Suppose s*r - 305 = 63. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*a**2 + 2*a**4 + 0*a**2 - 5*a**4 - 4*a**2 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-6))\/(2\/(-12)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13298*p - 21876*p + 12828*p + 893840 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1440\/160 + (-18)\/(-1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - p = -0*p - 11446, -5*p = -10. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10242.487 - 10235. What is w rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 19  (b) -5  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1021002948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302898 is divided by 878?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1449484 divided by 98?\nAnswer: -724742\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n**2 - 11*n - 59. Let q be c(-5). Let u = -272 - -745. Let v = u - q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*m + 80*m - 1656 = 25*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.68192 days to milliseconds.\nAnswer: 7662117888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + -13 + 23 + -110)*(-24)\/(-40)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*s + s - 5 = 0, -s = 2*t. Which is the closest to t?  (a) 4  (b) -0.1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 5*a + 100418 = 100089, -4*a - 264 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 14) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*v - 1514 = 2308 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -3, 3, -109, -1, 12\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.104252 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 11:19 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, x: 12}. Give prob of sequence xx.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(1*sqrt(76) + sqrt(76)) + 4*(sqrt(76) - -1*sqrt(76)))\/((sqrt(2800) - sqrt(2800)*2)\/(-4*sqrt(28)\/sqrt(4) - sqrt(7))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39735877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/12144 and -73\/7920.\nAnswer: 182160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18303 + 26586 = 3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 8*k + 19*k + 96 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) - (-2 + sqrt(468)) - (-2 + sqrt(39)\/sqrt(3))**2.\nAnswer: -15 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 5*n = -3*p + 64, 2*p = -2*n + 40. Suppose 8406 = -2*c - 3932. Let x = 55460\/9 + c. Find the common denominator of p and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 687, 689, 691, 693?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*v - 239*v + 366*v = 2992 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -979621 * -0.03\nAnswer: 29388.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -3. Let d = 63 + -43. Let b be (6\/z)\/(4\/d). Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/63 of a week?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -58*t**2 + 106 wrt t?\nAnswer: -116*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0389 - 4.9611. Let l = 42 + -127\/3. Which is the nearest to l?  (a) t  (b) 6  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -18, 3, -4146?\nAnswer: -4146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178837363?\nAnswer: 178837363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 142\/8 - (-4)\/16. Let j = r + 29. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167625?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.341608 to 3 decimal places.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by -5 + 59 + 0 + (-4 - -3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1034*r**2*u**3 + 55*r**2*u - 2*u**2 + u wrt u.\nAnswer: -6204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*f**2 + 147*f**2 - 589*f**2 + 148*f**2 + 144*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 21. Solve g = 3*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 2*m - 3*w = 9, 1 = 2*m + 5*w. Let j(z) = -m - z + 6 + 4. What is the units digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28979156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 493*o - 490*o = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, -0.3, -1\/2, -4\/7 in descending order.\nAnswer: -0.3, -1\/2, -4\/7, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 262 by -5.\nAnswer: -262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (118\/(-59))\/(-123*-4*1\/(-12)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 39770387771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*q**2 + 1257*q - 3402.\nAnswer: -3*(q - 81)*(5*q - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 97 + -173. Sort 5, 1, h.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 0.1, 1, -1.305, 0.037, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 20 - 75. Suppose 0 = 4*j - c - 9. Suppose 3*i = j*q + 55, 5*i + 4*q = 2*i + 37. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 4904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2762*a**2*l**2*q*x**2 - 2*a**2*l**2*x**2 - 56*a**2*l**2 + 2*a**2*l*x - 2*a*x**2 + l**2*x**2 with respect to q.\nAnswer: 2762*a**2*l**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(10)\/(3*sqrt(45)) + (-2*sqrt(288))\/(sqrt(32)\/sqrt(2)) + -1)**2.\nAnswer: -106*sqrt(2)\/9 + 5699\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 2*g - 1. Let y = 2029 + -2026. Calculate b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -84751, -81241, -77731?\n\"Answer: 3510*i - 88261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.4 - 2.99. Let c = -1.69 + r. What is c rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 807 + -520. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l**2 - 4. Suppose 3*g + 3*m = 6, -3*g = 2*g - 3*m + 6. Suppose 0 = -2*s - g*s - 8. Let k be h(s). What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26804 by 4.\nAnswer: -6701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 120*v - 53*v)*((0*v + 0*v - 2*v)*(-2 - 4*v + 2) - v**2 - 2*v**2 + 4*v**2).\nAnswer: -1539*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*r + 0 + 213*r**2 - 88*r**2 - 2 - 110*r**2 as o*r**2 + f*r + w and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 + -42. Let g(u) = -u**3 - 6*u**2 + u - 16. Let z be g(y). Suppose z + 24 = 2*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 1:47 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 6. Let q be x(6). Which is the nearest to -1\/4?  (a) -2  (b) q  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = y + 4*y + 9, -5*y - 3 = j. Suppose -4*o + 3*z - 8 = -0, o = -z - 2. Let a be 3 - (o - -5) - -2. What is the second biggest value in -2\/15, y, a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-14) + 4\/(-14). Let w(v) be the third derivative of v**5\/4 - v**4\/12 - v**3\/2 + 215*v**2. List the prime factors of w(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 37744 = 9065. Solve -32 = 1679*y - n*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31029, 30997, 30965, 30933, 30901, 30869?\nAnswer: 30837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -15, 0*d = 2*d + 4*u + 4. Let l = 3 - 1. Let a(b) = -b**2 + 0*b**l + 4*b**2 + 4*b - 1 - d*b**2. Calculate a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223786.\nAnswer: 2, 111893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 2*v**4 - 3*v**4 + 5*v**4 - 2*v**4 - 211*v**2 + 210*v**2 - 5*v to q*v**4 + a*v**2 + x*v**3 + f*v + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -1311 + 1318. Let c = -51 + 98. Calculate the remainder when c is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 0, -1\/5, 6, 1\/62618?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(133) - (sqrt(133) + (sqrt(133) - (-2*(3*sqrt(133) - sqrt(133)) + sqrt(133)))))\/(sqrt(784)\/sqrt(7)).\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 12241*u**2 - 41*u - 128. Let n(c) = 24482*c**2 - 71*c - 254. Let j(f) = -5*i(f) + 3*n(f). Find the second derivative of j(p) wrt p.\nAnswer: 24482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 2*t + 2. Let z be g(-4). Suppose -z*m = -13*m + 42. Let i = m - -4. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*j**2 + 8*j + 76*j**2 - 4*j**2 - 8*j.\nAnswer: 85*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-576))\/((-342)\/(-1216))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 5*m**2 + 16*m - 35. Let z be o(-10). Calculate the highest common divisor of z and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 0.1, -2\/7, 2, 20\/7 in decreasing order.\nAnswer: 20\/7, 2, 0.1, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12782, -25568, -38354?\nAnswer: -51140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 11*q + 1. Let l be a(-12). Suppose 3*g - l = -i - 3, g = -i + 4. Suppose -g*h = x - 111 - 134, 3*h + 2*x = 250. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 5*n**3 - 4*n**2 - 5*n + 5. Let k(m) = m**2 - 8*m + 7. Let q be k(6). Let s(v) = -3*v**3 + 2*v**2 + 2*v - 2. Determine q*s(c) - 2*i(c).\nAnswer: 5*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17500 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3)\/((-5)\/3). Let o = -2200.06 + 2200. Which is the second smallest value?  (a) 3  (b) 2\/7  (c) o  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -7*b + 7. Let i be u(-5). Let j = i + -57. Let z be (j + 13)\/((-4)\/(-6)). Put -2, z, -6 in increasing order.\nAnswer: -6, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 9. Let y be r(9). Let p = 7 - 4. Suppose -p*q - q + 8 = y. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 28649*j**2 + 2*j + 3. Let w(l) = 2*l. Calculate v(w(c)).\nAnswer: 114596*c**2 + 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -1 + 0*n + 15 + n. Let y be g(-12). Suppose -w = -y*w + 2*u + 15, w = 5*u + 15. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29.748 + -14.42. Let s = 0.278 - m. Let n = 15 + s. What is the biggest value in -3\/5, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1051, -1103, -1339, -1855, -2747?\nAnswer: -4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 2)\/(10\/(-270)). Let y = 39 - x. What is the smallest common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 5. Let v(n) be the first derivative of -2*n - 3 - 1\/2*n**2. Determine v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 + 4\/(-3 - -5). Let j be (-1*11)\/(2\/u). Suppose -z + j = z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1645133\/36 + 45695. What is the common denominator of 143\/6 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 1. Let n be (-3)\/6 - (-1)\/(-2). Let z(d) = 12*d + 6. Let u(a) = n*z(a) + 4*f(a). Is 21 a factor of u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 126\/8 - 5*7\/(-140). Let k be ((u\/(-10))\/(-4))\/((-1)\/(-10)). Solve -5*q + k*g - 3*g = -25, -4*q = 3*g - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vjjuiiiivjp. Give prob of sequence pii.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32128 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 9065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 150\/(-48) + -1 - 4 and -56\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of -u**7\/105 - u**6\/30 - u**5\/30 + 3*u**2 - 6*u. Factor f(v).\nAnswer: -2*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, -451781, -1\/13?\nAnswer: -451781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2426323 micrograms in milligrams?\nAnswer: 0.0002426323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 11*f**3 - 24*f**2 - 12*f - 2. Let d(m) = 13*m**3 - 26*m**2 - 12*m - 2. Let s(v) = 6*d(v) - 7*o(v). What is s(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u + 13. Let j(v) be the second derivative of -v**3\/6 + 29*v**2\/2 - 10*v. Calculate the remainder when r(-6) is divided by j(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b + 1760 = 40*b - 2*b - 5*b for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**3)\/s)\/s**3*(s*s**0)\/s*s**(1\/4) assuming s is positive.\nAnswer: s**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -7 + 12 + -3 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (488\/31110)\/((72\/15)\/(-12)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(-10)*10\/(-12). Let r = -3 + 2.8. What is the nearest to -1 in l, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5040 and 240.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-99)\/12)\/(4\/(-3536)) - -4. Which is the closest to x?  (a) 2\/17  (b) -3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -4*w + 12, 15 = w + 2*k + 3*k. Let m(d) = d**2 + 4*d - 8. Let n be m(-6). Solve 5*a + 4*r + 20 = 3*r, -w = -3*a - n*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {t: 4, v: 3, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q + 13 + 32 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 663219 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -367*r**5\/30 - 67*r**4\/6 - 1856*r**2. Find the second derivative of o(b) wrt b.\nAnswer: -1468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.493183 millennia in months?\nAnswer: 5918.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**5\/15 + 29*f**4\/6 - 880*f**3\/3 + 5029*f**2. What is y in s(y) = 0?\nAnswer: -40, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(405) + (3*sqrt(405) - sqrt(405)))**2 + -5 + -4.\nAnswer: 54*sqrt(5) + 3637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-8)\/(-3))\/(20\/450*-5). Let u be (-63)\/l*10\/35. Let n = -0.03 - -3.03. Which is the second biggest value?  (a) 4  (b) u  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-6)*(-186)\/31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 6*l + 13. Calculate the remainder when 34 is divided by k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27162 - -27182 - (49 - (1 + -1))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9867*n**4 - 68344 wrt n?\nAnswer: 39468*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7057, 13051, 23041, 37027, 55009?\n\"Answer: 1998*w**2 + 5059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3 + h**3 + 0*h - 3*h**2 + 5*h**2 + h - 8*h**2. Give y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/5, 5, 4, -2\/5, 0.005, -3\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000011001111001100 (base 2) to base 16.\nAnswer: -433cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 2*u - 145. Let i(v) = 8845 - 2*v**2 - 17692 + 8847. What is b(i(l))?\nAnswer: 4*l**4 + 4*l**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 60*z. Let b(m) = 32*m - 58*m + 43*m. Calculate 18*b(p) - 5*k(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 49887919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 1637*h**2 + 6 - 1264*h**2.\nAnswer: 373*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 c when three letters picked without replacement from chyhqovvq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -13470 divided by 2694\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -128, -250, -370, -488, -604, -718?\n\"Answer: p**2 - 125*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 5*u**3\/6 - 3*u**2 - 80*u. Let m(n) = 14*n - 18. Give 6*m(f) - 17*w(f).\nAnswer: -f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/11, 4, -2, -5, 184 in descending order.\nAnswer: 184, 4, -8\/11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2. Let v(g) = 2*g**2. Give -5*u(c) - 5*v(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 5*r - 17, -2*b + 3*b - r = -1. Suppose j - b*i + 2*i - 170 = 0, 4*i = 0. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b + 14. Determine q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 5*m + 215, m + 124 = 3*w - 179. Suppose 6 = -w*z + 103*z. Solve c - z = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 5 + ((2*sqrt(70))\/sqrt(5) - sqrt(126)\/(2*sqrt(9)))\/(((sqrt(189)\/sqrt(3))\/sqrt(9) + sqrt(7))*-6))**2.\nAnswer: -sqrt(2)\/2 + 129\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -563, -1159, -1755, -2351, -2947, -3543?\nAnswer: -4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3937, 7819, 11713, 15625, 19561?\n\"Answer: b**3 + 3875*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-2) + (-3)\/6. Solve 0*y + 22 = -u*g - y, 2*g = y - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121)*1 - sqrt(121))\/sqrt(11) - (sqrt(396) + 2)**2) + -1.\nAnswer: -401 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 315 + -6297\/20. Let u(k) be the second derivative of -2\/5*k**6 + 0*k**2 - t*k**5 + 0 + k**4 + 3*k + 1\/2*k**3. Factor u(z).\nAnswer: -3*z*(z - 1)*(z + 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 14*c**4 - 16*c**3 - 4*c**2 + 6*c + 5. Let a(z) = 69*z**4 - 78*z**3 - 21*z**2 + 30*z + 24. Let x(d) = 5*a(d) - 24*w(d). Solve x(t) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 75591*q - 453518. Give k(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pndgnddgddngndpnd. Give prob of sequence gp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/6, 0.2, 15 in decreasing order.\nAnswer: 15, 0.2, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -7*y**8\/480 - y**7\/60 - y**6\/180 - 5*y**3\/3 - 5. Let l(k) be the third derivative of r(k). Factor l(c).\nAnswer: -c**2*(7*c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0298*3612.\nAnswer: 107.6376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-4 + -6 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*g - 3, -113*k - 13*g = -112*k - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*w**3 + 13*w + 43*w - 1 + 20*w**3 - 1 in the form o + k*w + l*w**3 + r*w**2 and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-155316)\/(-4515)*(-10)\/(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17b792 (base 12) to base 5.\nAnswer: 101222420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**5 + 344*d**4 + 10920*d**3 + 154000*d**2 + 912500*d + 1875000 = 0. What is d?\nAnswer: -25, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2281995 divided by -5?\nAnswer: -456399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*u + 11361 = 2155, -5*w - 5*u = -22990. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -0.5, -31985?\nAnswer: -31985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 130874.36 rounded to the nearest ten?\nAnswer: 130870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + r - 3859 = 13688, -3*k + 4*r = -26326. What are the prime factors of k?\nAnswer: 2, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2387700 rounded to the nearest 10000?\nAnswer: 2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 31 + 44a6?\nAnswer: 4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 1 + 13 = 0. Let o be 1*-1*1 + 1. Let w = 2 - 0. Solve -w*c = -o - k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 0*y**6 + 0*y**5 + 0*y**4 + 0 + 0*y**2 + 11\/42*y**7 + 21*y - 29\/6*y**3. Find the second derivative of g(m) wrt m.\nAnswer: 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9481 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddnstvvsvdtddtdt. Give prob of sequence tvdn.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13267876 is divided by 6633932?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 + 294*y - 6*y**2 + 3*y**2 - 109*y.\nAnswer: -5*y*(y - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(4*4\/2289072). Suppose -2*t = -p - 61. Let j = 171564 - t. Round j to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 6 + 14. Suppose 0 = 2*z - 4*x - 20, 0 = -2*x + 5 + 5. Calculate the highest common divisor of z and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13770545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p - 2 = 0. Find the second derivative of -9*n + 6*n - p*n**4 + 0*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2 + 7 = -p, o + p = -5. Let n(r) = -r**3 + 3*r**2 - 8*r + 982. What is the units digit of n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-128601)\/9240 + (-28)\/(-2) - (-6)\/42)*2?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3652844208?\nAnswer: 2, 3, 13, 5853917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189 + 2*f**3 - 97 - 92.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/sqrt(40) + 5.\nAnswer: sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 489 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -517*p**3 + 3*p - 3*p - 102*p**2 + 517*p**3 - 110*p**6 wrt p?\nAnswer: -13200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -175867, -351591, -527171, -702607?\nAnswer: -877899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -898, -1625, -2220, -2719, -3158, -3573, -4000, -4475?\n\"Answer: -6*z**3 + 102*z**2 - 991*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 6876 - (8 + (-5)\/20*-20*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*r + 2 = 82*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1049)\/4196*80\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 + -58 + (8 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -976099 - 18415.22.\nAnswer: -994514.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1980 = 73*z - 61*z. What is the greatest common divisor of z and 3245?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - 1677 - 3358 + 2713)*(-3 + 2 + 0)*(-1 + 1 - 1)*(2 - 3 + 2)*(1 + 3 - 2).\nAnswer: -2*c**2 - 4644","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**3 + 7*w**2 - 15*w + 71. List the prime factors of f(-10).\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -101, -202, -299, -392, -481?\n\"Answer: 2*p**2 - 107*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12202100401 - -11?\nAnswer: -12202100340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (12 + 2\/12)\/((-9)\/3) and -44\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/(-1))\/(9\/6). What is the units digit of (-80 + 4)*(-2)\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**2. Let w(l) = 21044106*l. What is w(d(o))?\nAnswer: -42088212*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.8 - 3. Let v = x + -0.8. Let g = v - -2. What is the closest to g in -1, 0.5, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*r**2 + a**2 - 31*a*r*v - 3*a - 4*r**3*v + 2*r**3 + 14*r**2*v - 2*r*v - 2*v wrt r?\nAnswer: -4*a**2 - 24*r*v + 12*r + 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 266, 265, 264?\n\"Answer: -u + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 5:14 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 4041005*h**2 - 613477600*h + 23283488000 = 0?\nAnswer: 68240\/899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 (base 5) in base 3?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (0 - (4 - 9))) + 136 + -132?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.5  (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 152 = 37. Let u = m + -53. Suppose -5*n + 60 = -3*y - u, -y = -n + 24. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -17.07. Let u = -0.23 - z. Let n = 0.30018 + u. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10931*p = -10901*p - 120. Solve s - 30 + 1 = -4*d, p*s = -d + 26 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 5*z + 2. Let r = 9 - 18. Let j(g) = g**3 + 8*g**2 - 9*g - 3. Let p be j(r). What is q(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 27*u**2 + 8*u. Let m(a) = 17*a**2 + 5*a. Suppose f - 2 = -c, -2*c = 6 - 0. Let h(b) = f*l(b) - 8*m(b). Let r(j) = 43*j. Calculate r(h(v)).\nAnswer: -43*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -189\/8432 < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -112, -241, -358, -457, -532, -577?\n\"Answer: y**3 - 136*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and 135.5001.\nAnswer: 136.0001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 - 45. Suppose 0 = -4*c + 3*i - v - 0, 5*c - 26 = -4*i. Suppose -2*j + 28 = 5*h, h - 7 - 13 = -4*j. Solve -j*q = -c*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 278100*v + 278099*v - 556196*v + 18.\nAnswer: 3*v + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 11:29 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 4*n + 153. Let a = n + -49. Solve 3*k - 31 = -4*v, -5*k + 4 + 13 = -a*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6 = m, -3*m = 4*l - 29. Let b be (-8)\/l*-2*5\/4. Solve 4*u + 4*s + b = 0, 5*u = -s - 0*s + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 949996.\nAnswer: 2, 439, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -122 + 126. Solve -q + 9 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 823.558954 to one dp.\nAnswer: 823.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44 - -73. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13995076 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 11655970\nAnswer: 11655969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -101681 by -29.\nAnswer: 101681\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 <= 0.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/9906 and -103\/19292?\nAnswer: 7350252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2450364 by 21.\nAnswer: -116684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 4*j**2 - 66 + 8*j**2 - 2*j**2 to z + o*j**2 + f*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of t**3\/3 + t**2\/2 - 17*t. Let f be u(1). Solve w + b - 2 = -5, -f*w - 5*b - 19 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1439 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-1))\/2*72\/108. Let f(p) = -p + 4. Let o be f(0). Suppose i - 9 = w + w, 86 = o*i + a*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 60\/10*(-1)\/3. Let r be z\/(-7) - 38\/(-14). Suppose 0 = 2*k - 4*w + 26, -3*k - 5 = -r*w + 22. Let j(y) = y**3 + 6*y**2 + 3*y - 5. Calculate j(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38408514 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -152.945 + 154. Let k = g - 0.055. Which is the closest to k?  (a) -4  (b) -1\/2  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 40. Calculate g(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -6*d - 7. Let b be v(-2). Let h = b + 6. What is the greatest common factor of 121 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-33)*w*w\/((w**(-37)\/w)\/w)*w*w*w)\/(((w*(w*w*w**(-8\/5))\/w)\/w)\/((w*(w\/w**(1\/34))\/w)\/w)))**(-5\/6) assuming w is positive.\nAnswer: w**(-2137\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126*o**3 + 124*o**3 - 247*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -9 - 7) + 50 + (-299)\/(-23).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 11, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3467073 (base 8) to base 15.\nAnswer: 13a333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 150895574681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-33)\/77)\/((-1)\/7). Solve 2*w - 3*g = -2, 5*w - d*g - 15 + 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10020 (base 3) to base 4\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 263630 greater than or equal to 263630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/7)*k**(-2\/17)*k)\/(k**(-5\/11))**42 assuming k is positive.\nAnswer: k**(26706\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 845 and -0.446.\nAnswer: -376.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/20)\/(3 - (-39)\/(-6)). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192616660.\nAnswer: 2, 5, 9630833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25184479\/130 - 193725. Let b = z - 9\/5. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.037 + 3626841.\nAnswer: 3626840.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 39 - 38*x**2 - 15 - 11 - 13. Let q(v) = -18*v. Determine p(q(m)).\nAnswer: -12312*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(-20))\/((-126)\/90)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22611 is divided by 66.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -2) + (16 - (15 + -20 - 16)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11474822 and 35644.\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiieiiiiiei.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**4 + n**2 - 1. Let m(c) = -7*c**4 - 5 + 1 + 17*c**4 - 3 + 6*c**2. Let a(o) = -m(o) + 6*v(o). Find the first derivative of a(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 9687*v + 77483. Calculate w(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 81*m**3 - 81*m**3 + m**5 - m**5 - 4*m**5 + 4*m**5 + (-2 - 1 + 2)*(4*m**5 - 7*m**5 + 0*m**5).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50216 + 50218. Suppose -16\/5*l**3 - 44\/5*l - 16\/5 - 2\/5*l**4 - 42\/5*l**m = 0. What is l?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2868545?\nAnswer: 5, 211, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 3 = -p, 4 = 31*s - 27*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + q - 624 = 0. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 43121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of 28*w**3\/3 + 1. Let u(b) be the first derivative of -b**2\/2 - 931. Determine u(o(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47566 and 19958?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.4, 2339, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5*m + 1. Let s be k(3). Let b be (-10 + 0)*s\/(-10). Let r be 9976\/156 + (-76)\/(-1482). What is the greatest common factor of b and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -4 + 3*r**2 - 2*r**2 + r + r**3 - 2*r. Let u be z(0). Let l = 727 - 723. Which is the third smallest value?  (a) -2  (b) l  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35477 (base 8) to base 15.\nAnswer: 4762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - 10*g - 18. Let k be h(12). Solve -k = -q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 1:49 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c - 35. Calculate i(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 31, -4\/5, -22, -0.15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, l: 5, s: 2, y: 3, f: 4}. Give prob of sequence yf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 133031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 5\/184?\nAnswer: 5\/184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 6) + (31 - 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50 and 109430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - -56. Let s = -53 + i. Let m = -36 + s. Which is the third biggest value?  (a) -0.3  (b) m  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 3*o + 13 = k, -25 = 5*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/6*-6*(-14)\/35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -7701356623 - 767\nAnswer: -7701357390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/8)\/(3447\/766) - (-164)\/3.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -324 + 324 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 7:02 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.019 + 0.437. Let a = -0.518 + b. Which is greater: a or 2\/573?\nAnswer: 2\/573","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 13*q. Let r(t) = t**2 - 11*t**2 + 7*t**2. Give r(z(d)).\nAnswer: -507*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rqtqrj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.148091052 rounded to 3 dps?\nAnswer: -5.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22946282 by -11473141.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1338107 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -570 = -44*s + 618. Solve -s*z = -43*z + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/2 + ((-31900)\/145 - -200).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -16*i + 16. Let z(q) = -3*q + 4. Let d(m) = x(m) - 4*z(m). Let n(g) = -5*g + 18. What is d(n(c))?\nAnswer: 20*c - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/5 + y**2 + 13*y\/5 + 7\/5.\nAnswer: -(y - 7)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -2*q**4\/5 + 16*q**3 - 1086*q**2\/5 + 1064*q - 4312\/5 = 0.\nAnswer: 1, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8 times -2115334\nAnswer: 16922672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d**2 - 43*d - 8. Let h(z) = -z**2 + 22*z + 5. Give -4*b(w) - 7*h(w).\nAnswer: -9*w**2 + 18*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 12  (b) 2\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*n + t - 25, n - 2 = 3*t. What is the tens digit of (-25 + -3)*(-10)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 2\/5  (c) 13  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -957 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2*w = 42, 4*z - z - 2*w - 34 = 0. Let s(y) = 13*y - 14. What is the remainder when s(z) is divided by ((-92)\/(-12))\/((-1)\/(-3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t + 24 = 5*t. Let d be t\/10 + 16 + -15. Suppose -1\/5 + 2\/5*x - d*x**2 = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -11*z + 161. What is the tens digit of u(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.6316 - 3.0984. What is the closest to 0 in g, 1\/6, 3, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (55\/55)\/((-3)\/(-30))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n*n**(-1\/3)*n*n*n))**(-2\/53)\/(n**(1\/4))**(-9) assuming n is positive.\nAnswer: n**(1519\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0\/(-6))\/(1*2). Suppose -5*z - l + 38 = -76, 0 = 4*z + 5*l - 108. Let i = k + z. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 14*p**2 + 3*p - 35. What is v(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -1. What are the prime factors of d\/5 + (-144)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.8 and -2008.501.\nAnswer: -2007.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*v - 211 = -52, 3*x = 5*v + 238. Let d = x - 79. Suppose 3*b = 4*t + 44, 5*b - t - 68 = 3*t. Solve 3 = 5*u - 2*l, -d*l - b + 0 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/36 and 71\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, k: 2, i: 2}. What is prob of picking 1 i, 2 k, and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*z**2 - z - 36*z**3 - 29*z**3 + 67*z**3 as n*z + v*z**3 + p*z**2 + g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -5*r - 6. Is r\/18 + ((-3184)\/(-3))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2*sqrt(110)*2 + 2*sqrt(110)*1))\/(5*(sqrt(490) - sqrt(490)*2) + (sqrt(490) - (sqrt(490) + sqrt(490)*2*3) - sqrt(490))).\nAnswer: 3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.05 - 9. Let c = o + 0.15. What is the nearest to c in 5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*r - 5*s = -14*r + 19, -14 = -2*r + 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (15 + -15)\/(2*-1). Solve a = -d - 1 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1044420 is divided by 13390.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(1*-2*sqrt(2448) + sqrt(2448) + sqrt(2448)))**2 + -2)*-5*6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -120.777 and -2.3.\nAnswer: 277.7871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 3*n = -2*n + 11, -g + 3*n = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.7 + -11.7. Which is the nearest to -2\/3?  (a) 0.2  (b) 0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 15*q**2 + 2171*q - 13272. Calculate f(6).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -89 + 58. Let s = -22 - w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 5*j + 21. What is the greatest common divisor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8958 - -9008. Which is smaller: 0.16 or w?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 129540 and 2550?\nAnswer: 647700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -450 + 422 + -117 + 8 + 7?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 4*g**2 - 2*g. Let t = 4 + -1. Let o be b(t). Suppose 2*l = -d - o, 0*l - 4*l + 4*d = -12. What is the nearest to 0 in -1\/4, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -23*((-1498)\/301 + 5). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -19*g + 1. Let n be b(-1). Suppose h - 6*h + 30 = 0. Let w be ((-120)\/9)\/((-4)\/h). Solve 3*i = 2*s + n, -4*i + w = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (38\/57)\/((-8)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (3 - 2) + 84 + -3. Let v = i - 23. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 - 2*u**2 + u**2)*(1684 + 286 + 758) + 3*u**2 + 2*u**2 - 3*u**2.\nAnswer: -2726*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tdbbllll. What is prob of sequence dl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j**2 - 6*j + 60. Let t be l(-7). Suppose -4*h - 17793 = -t*r - r, 2*r - 4*h = 7110. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-224)\/35)\/((-1256)\/9420).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**4\/2 - 83*l**3 - 22080*l**2 + 134667*l - 406161\/2 = 0 for l.\nAnswer: -147, 3, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 11 = -9*f + 12*f, -25*a = -5*f - 65 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-8))\/(((-21)\/(-7))\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45710 - -64827. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 3)*(0 + 1 - 2)*(-74 + 74 - 6*m) in the form i + l*m and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 15*p - 130. Let x be k(4). Let o be ((-180)\/x)\/(-9) - 30\/(-7). Solve -o*z = 16, -i = 2*i - 3*z - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 675 and 1325025?\nAnswer: 1325025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f + 15*f**2 - 1 + 0*f as j*f**2 + p*f + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 924408957 to the nearest integer?\nAnswer: 30404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 10974*r + 19849*r + 10760*r as g*r + k and give g.\nAnswer: 41583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*u**3 - 98*u**3 + 34*u**3 + 32*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = 7*s + 89 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 859*x + 17557 = 68*x - 3009 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/2 + 15\/(-27). Suppose 4*v = 4*z + 2*v - 6, 3*v = -5*z + 13. Let o be (-4)\/z - (-112)\/58. Which is the third smallest value?  (a) l  (b) -2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15, 9, 95, 273, 573?\n\"Answer: 5*c**3 + c**2 - 14*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.241 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**4\/12 + w + 2. Let q(o) be the first derivative of l(o). Let s(h) = 4*h. Give s(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 5:58 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 107944318.4 and -441.\nAnswer: 107943877.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 920 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -3, -0.4, 2\/9, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63 - -19. Let i = s + 89. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -11*l**2 + 9*l - 8. Let i(u) = -12*u**2 + 8*u - 7. Give 7*i(k) - 6*n(k).\nAnswer: -18*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 15*w - 2. What is t(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17300 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 2*v + 14, 10*w + 306*v - 310*v - 28 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3300 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001049195469 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/12)\/((-6)\/(-1044)). Solve 5*z = -4*i - q, -5*z = -3*i - 6 + 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -79, -258, -613, -1204, -2091, -3334, -4993?\nAnswer: -7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2\/19 - 2234*z\/19 + 84084\/19 = 0 for z.\nAnswer: 39, 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*i + 113471115 - 113471115 - 32*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert a76 (base 12) to base 6.\nAnswer: 11030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -232 + 228. What is the fourth smallest value in -0.3, o, -2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -33 - 20 + 7*s + 21*s + 37*s + 6*s wrt s?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5445 is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4652469114 rounded to 4 dps?\nAnswer: 0.4652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/((-155)\/(-10) - 2). Let z be (-1230)\/(-1025) + 8\/10. Factor k - 2\/9*u**z + 1\/9*u**3 - 1\/9*u.\nAnswer: (u - 2)*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 - -66. Let n(k) = -k**3 + k**2 - 5*k + 4. Let s be n(q). Solve x = 6*x - 4*z + 9, -4 = -s*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 5. Let j = -104810 - -104807. Let q(w) = 16. Let h(l) = 5. Let c(t) = -7*h(t) + 2*q(t). Determine j*u(m) - 5*c(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 3:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -74 - -194. Calculate the remainder when i is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + -103. Let i = c + 56. Let y = 29 + i. Solve -2*v = -4*v + y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**3\/((p*p**(2\/9)*p*p)\/p))\/(p**(-1))**(4\/9))**38)**(1\/5) assuming p is positive.\nAnswer: p**(418\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 92098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 5*f - 5 = 0, 30 - 34 = 2*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*v + 8 = 0. Let r be (v\/(-2))\/(-2)*-6. Solve -r*z = 4*o + 15, 3*o + 0*z + 5 = 4*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7973503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*r**2 - 33*r**2 + 1696*r + 1690*r + 1671*r - 5057*r.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2721013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20402186561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/8 - (-21)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from syttnynnnnnsnnsy. Give prob of picking 3 y and 1 s.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v**2 - 2*v**2 + v**2)*(3*v + 0*v - v)*(0*v - 3*v + 6*v).\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (79 - 269*x - 79)*((2 + 0 - 5)*(0*x - x + 3*x) - 4*x - x + 4*x) to the form s + c*x + o*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - 4*t - 59. Determine r(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -321*s**4 - 15 + 323*s**4 + 2*s**5 - 1 + (0*s**2 + 10*s**2 + 4*s**2)*(-4 + 4 - 2*s**3).\nAnswer: -26*s**5 + 2*s**4 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 564058206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 16. Suppose 25*f = 18*f. Suppose f = -0*a + 3*a. Give b(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 42 + 44 + 24 = 0, -o - 2*o + 129 = -s + 2*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 937\/5 in -0.2, 4, -0.18, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -906 - -1837. Let t = y + -930.999998654. What is t rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1972\/271 greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c*c**(-5))**50 assuming c is positive.\nAnswer: c**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3337 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: Let y = -12 - -10. Let r = -56 + 48. Let f = r - -10. Put f, y, 0.4 in ascending order.\nAnswer: y, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 1)*(235*l**3 - 1356*l**3 + 64*l**3).\nAnswer: 3171*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3\/7 + 268*d**2\/7 - 524*d\/7 + 260\/7.\nAnswer: -4*(d - 65)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -18922 bigger than -18921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4db + b5d?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6235, 6211, 6187, 6163?\nAnswer: 6139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -334, 1\/3, 5, 0.21, -4, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3275779 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (96\/(-60))\/(4\/(-30)). Let t be w\/(-42) + (-16)\/(-7). Solve -4*s = p - 5, t*p + 4 = 3*p + 3*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 + (-8)\/(-6))*200838\/(-44)?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from pppppppippppp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 1764.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 + -34. Suppose -1612 = 51*h - 1714. Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1354998954 - 0.3.\nAnswer: 1354998953.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*w - 6*w - 4*w + 1 - 3*w as p*w + f and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -663 = -21*q + 72*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1107.315 millilitres?\nAnswer: 1.107315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(156)*-1 + sqrt(156))\/((sqrt(160)\/sqrt(5))\/sqrt(8)))\/((3*sqrt(15)*2)\/(-1*sqrt(45))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -758.64 and -0.0321.\nAnswer: -758.6721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16\/3 in -5, -17, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312297 is divided by 5836.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 1.2. Let f = n + -5.9. Put -1\/5, 2, f in descending order.\nAnswer: 2, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -183 - -287. What is the remainder when n is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 7*y + 3. Let g be b(-4). Let h = g + 7. What are the prime factors of (27\/(-15))\/(h\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (3 + 0 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*j - 88*j - 2 + 11*j.\nAnswer: -128*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 373236 and 3483536.\nAnswer: 10450608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-21))\/((-1)\/7). What is the common denominator of (22\/330)\/(b\/725) and -41\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - 3*w + 4*w)*(-w**4 + 2*w**3 - 2*w**3) - 2*w**5 - w**3 + w**3 + 2*w**2 - 3*w**5 - 2*w**2 + (24481 - 24481 - 265*w)*(-4*w**2 + 4*w**2 - 3*w**4).\nAnswer: 788*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 2065, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 13 - ((0 - 5) + (-5 + 37 - 21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -85265*a**3*f + 2*a**3 - 2*a**2*f - a**2 - 120819*a*f + a - 2*f wrt a.\nAnswer: -511590*a*f + 12*a - 4*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -40\/737523 and 67\/722.\nAnswer: 1475046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -111 - 1673?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/4*42\/24?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3875656713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 9855?\nAnswer: 108405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -1\/31, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 908145.2 millilitres?\nAnswer: 908.1452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -1380*q + 110288. What is y(80)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by ((-102)\/9)\/((-8)\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*-1*(-56)\/(-21). What is the closest to w in -3, 5, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 19) + -58 + (-3 - (-12 - (-8 + 0)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 119 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -689, -2412, -5275, -9272, -14397, -20644, -28007?\n\"Answer: w**3 - 576*w**2 - 2*w - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 69322 >= 70412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 6, 1, 12, 209.\nAnswer: -9, 1, 6, 12, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1363 smaller than 1487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112 + -20?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 6*n - 4*n - 2 + (6*n - 19*n + 12*n)*(-10 + 6 - 7))*(-n**3 + 0*n**2 + 0*n**2).\nAnswer: -12*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 4. Let m = -122 - -207. Let r = -78 + m. Calculate f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 2, i: 1, e: 1, n: 2, v: 1, q: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 5*x + 245 = -5*t, 0 = 2*t - x + 89. Let y = 50 + t. What are the prime factors of (-390)\/y*12\/(-9)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.9737 - -38.4937.\nAnswer: 29.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 0 - 1*3. Suppose 0 = -2*i - 2*r + 462, 2*i + 4*r - 458 = -g*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-8))\/(24\/(-288))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 133, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 80 - 81. Which is the smallest value?  (a) 0.1  (b) v  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1238 = -2*i - 3*i + 2*n, 4*n = -16. Suppose -3*g - i = -5*t - 5*g, -3*t + 160 = -5*g. Suppose -52*q = -t*q - 610. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 505379.6mg?\nAnswer: 505.3796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*n - 149*n = 40. Calculate the smallest common multiple of n and 34.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - ((2 - 2) + 6))\/(-3). Suppose -4 - 2 = -m*k. Solve 0 = 2*d + k*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 4 = -14. Let q(w) = o - 3 - 2 + 2 + 6*w. What is the tens digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 157 and 6607973.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 254, 251, 246, 239, 230?\n\"Answer: -r**2 + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0 = -k - 21, -2*k - 6 = y. Sort 3, y, 0, -5 in descending order.\nAnswer: 3, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 - 1 - 1)*(-26*b - 44*b + 28*b) + (-2*b + 4 - 4)*(-5 - 11 - 6) - b - 4*b + 7*b)*(0 - 1 + 2) as h*b + w and give h.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18 - -9. Let y = 9 + u. Solve -2*z = -y + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 104767965*f**5 - 406034733*f**2 wrt f.\nAnswer: 6286077900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -1b2031?\nAnswer: 1b202e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o. Suppose 0*d + 38 = 2*d - 2*m, -5*m = 5*d - 55. Let x be (-1 + d\/5)\/2. Let a(v) be the first derivative of v**2 + 2. Calculate x*a(t) - r(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 274279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 7*t**2 + t - 3. Suppose 0 = d + 3*d - 4. Let q be d*14\/4*2. Let l be j(q). Solve -l*b + 11 = -i, 10 + 4 = -i + 5*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/12041342 and -71\/12.\nAnswer: 72248052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 89 + -52 + (38 - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 144210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -0.4, 3, 312785?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2036 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*j + 141 = -22*j - 258 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(343) + 0)*-1 + (sqrt(343) + 1 + -1)**2 + (-2*(sqrt(343) - 1*1*sqrt(343))*-2)**2 + 2.\nAnswer: -7*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from ftjts?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*j - 113*j + 27*j + 34*j + 16*j + 39*j.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 8 + 817432*u + 4 + 10 - 817447*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -0*k + 22. Let t = k + -2. Let o(p) = -9 + t + 8*p. What is o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-8)*4*-1. Let p(m) = m - 5. Let k be p(7). Let i be 0*(6\/k)\/3. Solve i = z*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-882)\/180 + 5\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -5 + (-262)\/(-70) + (-1092)\/(-1274).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from eeueeueueeeeueue.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00027849899 to 6 dps.\nAnswer: 0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 + 5*v - 2. Suppose 6 + 3 = -3*u. Let h(d) = d**2 + d. Calculate u*h(a) + m(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 1525*w + 63737. Give b(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i**2 - 3*i + 2. Let y be c(1). Suppose 9*q - y*q - 270 = 0. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -6*i**4 + 300*i**3 - 5625*i**2 + 46875*i - 2208. Determine m, given that p(m) = 0.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 1586 = 3*z + 3*m, m = 3*z + 4774. Let k = -2322 - z. What is k rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 292, 602, 914, 1228, 1544, 1862, 2182?\n\"Answer: l**2 + 307*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 2:32 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - q - 110 = 0. Let z be -3 - -26*7\/14. Let x be 38 - 2 - 2\/(z\/15). Calculate the greatest common factor of x and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1000))\/sqrt(8) + sqrt(20)\/sqrt(4)*3 + 5 + (sqrt(45))**2.\nAnswer: 13*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11140 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 1 - (-8 + -11 + 10 + -21)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*f = 42 + 48 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 27574021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - 5\/(5\/77). Let s = 151 + x. Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26377319.\nAnswer: 17, 107, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (-18)\/12)\/(27\/24).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1792 is divided by 358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2716 and 7589568.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 - -7 - (-1 + 2)) + 8. Let x(o) = 2*o - 12 + 53 + l*o - 4*o. Let b be x(-15). What is b rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 71881229 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y + 20. Let b be q(-16). Suppose 0 = -b*j + 144 - 0. Let w = j - 26. Calculate the lowest common multiple of 7 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from coccccsczczcscczca. What is prob of sequence saz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 84\/149 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41?  (a) 803  (b) 3  (c) -2\/5  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from elieelllet. What is prob of picking 4 l?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -13*j**3 + 5*j + 3. Let s(m) = -11*m**3 - 2*m**2 + 4*m + 2. What is 2*b(z) - 3*s(z)?\nAnswer: 7*z**3 + 6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**24*t)\/t*t)**29 assuming t is positive.\nAnswer: t**725","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 1, 4157, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(5) - (sqrt(30)*-2)\/sqrt(6)) + 2))**2 - ((sqrt(90)*-1)\/sqrt(6))\/(sqrt(30)\/(sqrt(10)*-2)).\nAnswer: 10*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8325 and 4329?\nAnswer: 108225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15669068, 15669024, 15668980, 15668936?\nAnswer: 15668892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 23*l**2 - 32*l - 34. Let w(j) = j**3 + 22*j**2 + 34*j + 35. Let u(n) = -4*p(n) - 3*w(n). Let a be u(-25). Let i(b) = -2*b + 19. Give i(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31430 and 6377?\nAnswer: 28632730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 683050 is divided by 4465.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 4 + 0 + 0 + (2 + 4 + 1)*(-2*u + 2*u + u) to the form z*u + l and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + -2 + 2 + sqrt(75) + sqrt(75))*-6)**2 - (-2 + -3*(sqrt(75) + 0) + 2)**2.\nAnswer: -2160*sqrt(3) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3 = a. Sort -4, a, 4.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2649 - 894 = 0. Suppose 7*t = 10*t - c. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 3:43 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/128 and -41\/103136.\nAnswer: 412544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5b + 17e?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 126361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*(36\/(-10) + 3). Let g be 528\/(-165) + 2\/10. Let i be -1 - (d\/(-1) + g). Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -21 in decreasing order.\nAnswer: 3, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*w + 174*w - 82*w - 79*w to n + y*w and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 244*u = -141*u - 6930 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 8 = 4*t, 5*a - 3*a - 2 = -t. Let i(v) = v**2 + v - 4. Let m be i(t). Suppose -m*f + 24 = 2. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1763*h**4 - 1774*h**4 - 13 + 17 + (0*h**2 + 0*h**2 + h**2)*(-3*h**2 - h**2 + 2*h**2).\nAnswer: -13*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 13 + 1 + 1050 + -1061?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 5. Let j be (20\/(-6) + 3)*9. What are the prime factors of 20\/b - 1\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1 - 8 = 0. Solve -9 = -l + 2*q - 6*q, -l - q + s = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5201800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 125337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1136941 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 925695 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 1:22 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2938, -5874, -8822, -11788, -14778, -17798, -20854?\nAnswer: -23952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.01  (b) -2\/11  (c) -3  (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20 + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 259 = 597. Let r = f + -41. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 29 = 4. Sort -4, q, -1 in decreasing order.\nAnswer: q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47454 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -7. What is the second smallest value in 2, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 - 3*z - 4*z + 4*z)*(-2*z + 4*z - 1 + 5*z).\nAnswer: -14*z**3 - 19*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 199 - 199. Let r be z - (5\/(-1) + 3). Solve r = -5*s - 0*p + 2*p, s - 3*p = -3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(13\/((-351)\/36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13844 by -3461.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -312*p**3 + p**2 - 4*p - 4. Let l be (4\/(0 - -2) + 2)\/(-2). Let b be n(l). Let s = b + -24943\/10. Find the common denominator of 91\/8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -0.5, 5, -0.377?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2193 - -2383. Calculate the remainder when q is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + c - 195, -32*c + 90 = -17*c. What is the smallest common multiple of 3521 and j?\nAnswer: 31689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71031 = 71308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/4193879 and 16\/56381.\nAnswer: 54520427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-2) + (4 - (5 + -4 + 16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4 = -4*g + 2*w, 0 = -2*w + 4. Let b be g + (-1 - 96\/3). Find the common denominator of ((-7)\/3)\/(2*b\/135) and 71\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1109767096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjcj when four letters picked without replacement from {c: 2, j: 11, e: 2}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24458.22nm to centimeters.\nAnswer: 0.002445822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/6880 and -7\/2448?\nAnswer: 1052640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7400, -15436, -24086, -33338, -43180, -53600, -64586?\nAnswer: -76126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from nndn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 64776 - 7261?\nAnswer: 56515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1502 + 2261. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -183 - -442. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74868 - 327775 = -98*t + 715529. What are the prime factors of t?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 58\/(-18) - 4\/(-18). Suppose -2*d + d - 2 = -r, 2*d + 4 = 3*r. Sort -4, d, k in increasing order.\nAnswer: -4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 614127659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2327 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(7\/(21\/(-2))). Let k be 0 + c + 33\/1. List the prime factors of 6\/(-9)*-1*k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 10*k**2 + 9*k + 2. Let l be y(-9). Let s(w) = 2*w. Let x(o) = -35*o - 32*o + 72*o. Calculate l*x(g) - 6*s(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/42*1*205\/20 + -4.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*g**3 + 5*g - 4*g - 2 + 12*g**3 to the form w*g**3 + b*g**2 + p + x*g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -2, 2, 8, 1 in increasing order.\nAnswer: -11, -2, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54204690.\nAnswer: 2, 3, 5, 53, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*j + 41812, -2*i - 6*j = -10422 - 17476. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 7*p - 14. Suppose 6*w + 74 = p*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 - 9*l + 12. Let f(a) = a**3 - 19*a**2 - a + 27. Let r be f(19). Let y be w(r). Factor -24*x**2 - 24*x + y*x**3 - 8*x - 20*x**4 + 80*x**2.\nAnswer: -4*x*(x - 4)*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 3*r**2 - r**3 + 0*r - 1\/60*r**5 + 0 - 1\/6*r**4. Let n be (-118)\/28 + 831\/3878. Calculate g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/61)\/q**(-30) assuming q is positive.\nAnswer: q**(1828\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 984*u. Let h(s) be the second derivative of -s**4\/4 + 27*s - 37. What is a(h(t))?\nAnswer: -2952*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 5*i**2 + 46*i + 44. Let o be r(-1). Solve -o*l + q - 5*q = -14, -4*q = 4*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (180\/(-72))\/(1\/(-2) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/14 and (13\/2)\/(6\/(-9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-2)*(-3)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-18 + -35 + -16 + 22)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in 23, 2\/15, -498, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + 19 + -22 + (3 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 83 + -45. Suppose z = -3*x + 320. Let a = -71 + x. Calculate the remainder when 91 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**2. Let s(a) = -60*a + 24. Let i = 80 + -56. Let j(h) = 2*h - 3. Let z(p) = i*j(p) + 3*s(p). What is k(z(c))?\nAnswer: -34848*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1966, -1965, -1964, -1963, -1962?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6592 divided by 412.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 4*q - 55087, -17*d - 55063 = -22*d + 4*q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -125*k - 8. Let v(l) = -3*l. Give v(t(d)).\nAnswer: 375*d + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 21 - 7 = 2*g, -p + 2*g = 14. Let b = p + 5. Let c(r) = -r**2 - 10*r - 8. Let o be c(b). Which is smaller: o or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**5\/20 + 7*q**4\/12 - 3*q**3\/2 + 23*q**2\/2 - 2*q + 194. Calculate x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 68*r + 1544. Let g be y(-22). What is the highest common factor of 632 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -4 + 8 - (19 - 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -4*g - 14, 26*t = 30*t + 5*g + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20313 + 2?\nAnswer: 20315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p + 49. Let j(v) = 17*v - v**2 + 0*v - 17*v. Give j(t(m)).\nAnswer: -m**2 - 98*m - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4738 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*k + 806 = -6*k - 1539 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.75292 centuries in years?\nAnswer: 3975.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -344 - f - 707 + 3*f - 76 + 41 + 164.\nAnswer: 2*f - 922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((1 - 0) + 3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - (-5 + (11 - 5))) + (3 - -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-21) + (-10)\/14. Suppose h + 3*h = -8. Let w be u + 0 - (h + -2499). What is w rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, 0.5, -0.2, 3\/40, 323\/2?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 2\/3, 5.4, -1, -0.1 in descending order.\nAnswer: 5.4, 2\/3, -0.1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-10))\/(39\/130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -21*k - 13. Let q(z) = -7*z - 4. Let l(w) = -11*q(w) + 4*y(w). Suppose -3*u - 18 = -0*u. What are the prime factors of l(u)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/(-12) - (-8)\/12)*-3. Let i be 1 + f - (8 + -31). Solve 4*y - 3*l + 0 + 4 = 0, y = -4*l - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/7))**27*b*b**(-2\/13)*b*b\/(b**(-2)\/b*b) assuming b is positive.\nAnswer: b**(-261\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 4. Let d be s(-6). Let w be (-18)\/(-90) + 48\/d. What is the units digit of (-3 - (-39)\/(-15))\/((-1)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 35\/14 + (-1 - 0). Let v(p) be the first derivative of 0*p**4 + 1\/5*p**5 + 3 + 0*p**3 + 0*p - o*p**2. Find the second derivative of v(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 503 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -2. Let p be (-2)\/4*(-1)\/(12\/(-6))*0. Solve p*d + 0 - 8\/5*d**5 - 16\/5*d**3 - 16\/5*d**2 + 28\/5*d**m = 0 for d.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vgp when three letters picked without replacement from {v: 1, p: 1, g: 1, d: 2, f: 1, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 + 3608*o**3 + 195359*o**2 - 198968*o.\nAnswer: o*(o - 1)*(o + 56)*(o + 3553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700 a factor of 47397207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5494, 1\/23 in ascending order.\nAnswer: -5494, 1\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 2*i - 1. Let a be 6\/3*(-2)\/(-2). Let h be v(a). Find the third derivative of -b**2 - 3 + h + 4*b**2 - b**4 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/2251180?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -67*y**5\/60 + 61*y**2 - 65*y. Let x(a) be the first derivative of u(a). Let t(g) = -g. Calculate t(x(k)).\nAnswer: 67*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 34, 33, 28, 19, 6, -11?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 915 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 75967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2400 and 1536.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 28 = 4*k. Let f = 8 - k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p - 4*p + p)*(-17 - 48 - 12)*(-1 + 3 - 1) to v*p + t and give v.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -254*b**5 - 3*b**4*y**2 - 44*b*y**2 + 34*y**2 wrt b?\nAnswer: -5080*b**3 - 36*b**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of 0 + 1\/6*l**4 - l**2 + 0*l + 0*l**3. Let c = 1 - 2. What is w(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 25*a**2 - 15*a - 14. What is g(24)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495)*2*2)\/(sqrt(88)\/(sqrt(392)*-3)))**2 + 1.\nAnswer: 317521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p + 2*p + 8, 12 = -5*l + 2*p. Suppose -5*n + 28 = -52. Let v = n + l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*l, f - 4*l - 1979 = 1566. Suppose 12*t + f - 11073 = 0. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 101.85 - -0.15. Is 0.1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32900638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**3 + 5*j**2 - j - 9. Let p(d) = d**3 + 3*d**2 - d - 5. Calculate 5*p(f) - 3*x(f).\nAnswer: -f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 104441312?\nAnswer: -104441304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4\/15 + 14\/15. Let m(c) = 12*c - 82. Let s be m(7). Let u = 76 + -75. What is the closest to s in -0.4, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {r: 7, a: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -y**7\/840 + y**4\/12 + 2*y**3\/3 - 2. Let d(w) be the third derivative of f(w). List the prime factors of d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34\/21 in -2\/9, 89, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + a + a)*(1 + 5*a - 1).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 246423 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 11*j + 12. Let l be p(-10). Suppose -l*u + 263 = -31. Calculate the highest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((960\/(-35))\/(-4))\/(23\/((-1932)\/(-24))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 5*c = 6 + 9, -2*c + 18 = 4*z. Solve v - z*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11756 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3 - 4) + 3)*-1. What is the third derivative of -5*k**2 - k**q + 3*k**4 + 2*k**2 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4931929.\nAnswer: 271, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2593*a. Let c(g) = 37*g**2. Give c(r(u)).\nAnswer: 248775013*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 132474 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4478 or 5\/43?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -1, 92, 6133 in ascending order.\nAnswer: -4, -1, 3, 92, 6133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pi when two letters picked without replacement from iipip?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p + f + 25, -p - 2348*f - 5 = -2349*f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -6*h**3 + 4*h**2 - h + 4. Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/14 in -5, 0.4, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1592511 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 14652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/3))**(-4\/9)\/(m**(-1\/4)*m)**(3\/7))\/((m**(1\/9)*m**2)\/(m**(-2\/9)\/m*m**(2\/13)\/m*m)) assuming m is positive.\nAnswer: m**(-31495\/9828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 15833*u**4\/3 - u**3\/2 + 3*u**2\/2 + 6*u. Let y be w(-3). What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 92, -174\/5, -0.4, -0.1 in increasing order.\nAnswer: -174\/5, -0.4, -0.1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -348, -1219, -2606, -4515, -6952, -9923?\n\"Answer: -p**3 - 252*p**2 - 108*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101100100101011 (base 2) to base 7.\nAnswer: 123360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c70 + 238c?\nAnswer: 161c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 16*m**2 - 49*m - 149. Let r be t(19). Solve -3*z + b + 11 = 0, -5*b + 40 = r*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6450050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 72 - 45 = 0. Let c(b) = -24*b**3 + b**2 - 2*b + 1. Let t be c(-2). Suppose 2*o = k + t. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35732982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 - (-3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 11. Suppose -r + 3*r = 4*q + 2, 0 = 4*q + r + 11. Let z(v) = 3 + 3 + 23 + 3 - 33. Determine q*b(h) + 22*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.87 + 0.13. Let k be (4\/(-6))\/(4 + 217\/(-63)). What is the third biggest value in p, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -3\/4, -5\/2, -4\/3, 0.085, -0.063?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -700 - -2492. Let f = 2615 - i. List the prime factors of f.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31043 (base 5) to base 11\nAnswer: -157a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 5*t - 1, 15 = 3*t + 4*f - f. Suppose -4*w - t*a + 7*a = 13, -13 = -w - 2*a. Solve 6 = -3*r - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) 102  (c) 6  (d) 4  (e) -1\/8  (f) -24  (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*o + 126299 - 39299 = 0. What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 - 13*q**3 + 8*q**3)*(-3*q + q**2 + 3*q).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + -25. Suppose -3*l + 5*s = -17 - 247, 0 = -z*s. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/6)\/((-400)\/(-132) + -3). Let p(s) = -11*s**2 + 6*s - 5*s - 21*s**2 + z*s**2. What is p(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*a**3 - 58763*a + 9931992 wrt a.\nAnswer: -138*a**2 - 58763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - k**2 - 3*k - 4. Let b be j(3). Let y = 64718 + -64717. Solve -3*x - n + 3 = 0, 0 = -b*x - 3*n + 4 + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3245\/4*b - 3025\/2 + 1\/4*b**3 - 28*b**2 = 0.\nAnswer: 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s + 1. Let z = 9 - 15. Let d(l) = -4*l - 6. Let q(w) = z*o(w) - d(w). Let v(c) be the first derivative of -3*c**3 + 1834. Determine q(v(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 639 (base 12) to base 7\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -128 - -44. Let b = -84.3 - t. What is the second biggest value in 19, -2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1650\/(-75)*36\/33.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3080 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -0.6, -5, -4, 0.13?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7*r + 72. Determine q(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-24)*(-4 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -643*r**3 + 1675*r**2 - 25659778*r?\nAnswer: -3858*r + 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 4*c**3 - 3*c**2 - 7*c + 3. Let l(v) = 5*v**3 - 3*v**2 - 8*v + 3. Let o(h) = 4*a(h) - 3*l(h). Let y = 379 - 249. Let r = y - 127. Determine o(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -5*g + 33 - 3, 3*g = -y + 20. Let z = g + -1. Solve -5 = 3*a + z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 2*r + 3. Let t be d(-2). Suppose 2*l = -t*q + 11, -2*l = l + 2*q - 19. Solve 0 = -3*s + l*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 56*j + 588. Let h be n(-14). Suppose 2*a - 22 = -0*a. Solve 7*o - a*o - 16 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 8*g - 3*g - 15, -4*g - 4*q = 12. Which is the closest to 3\/4?  (a) g  (b) -2\/5  (c) -1\/4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000085605 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1255932 by -9.\nAnswer: 139548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/16 - 2\/8. Let w(m) be the second derivative of 0*m**2 + n - 1\/24*m**3 + 1\/24*m**4 + 2*m - 1\/80*m**5. Factor w(c).\nAnswer: -c*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 72 - 71.5. Let i be 7\/((-7)\/3) + (-48)\/(-14). Which is the closest to -1?  (a) i  (b) u  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2304 + 32265\/14. Is -1\/3 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.9 * 0.13\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -5*c - 35, -158*c + 3*z = -161*c - 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 7*m + 2. Determine c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 136 - 136)*(-4*i - 31*i**3 + 4*i - i).\nAnswer: -93*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 41012695 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g - 30 = -20*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t + 21*t + 17*t**3 - 3 - 7*t - 5*t**2 + 1 - 8*t as a*t**3 + n + l*t**2 + u*t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 18 and 28.04.\nAnswer: 46.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -11102323?\nAnswer: 11102313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 6 = -6*q. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1035 - -3?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 12*w**3 - 3*w**2 - 3. Let u(x) = -11*x**3 + 2*x**2 + 2. Determine 2*m(l) + 3*u(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) 40  (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.19004 + 0.00996. Let h(g) = g**2 + 5*g - 7. Let x be h(-6). Let v be (-2)\/8 + x\/4. What is the second smallest value in 2\/9, m, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7615001 (base 8) to base 12\nAnswer: -823681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5687117 is divided by 270814?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -26440418 at least as big as -26440414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 0.435  (c) 0.14  (d) -26\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.8997 to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 340620, 1362718, 3066214, 5451108, 8517400, 12265090, 16694178?\n\"Answer: 340699*k**2 + k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1207 - -1209. Solve -58*z + 57*z = n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -407454652 < -814909305\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 392058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v + 364 + 2*v**3 - 364)*(2 + 2*v - 3*v - v) + (-1 + v + 1)*(2*v**3 - 2*v + 2*v) as r + k*v**2 + f*v + m*v**3 + q*v**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/3)\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 3*f - 4*f)*(0*f - 2*f + 4*f) - 4*f**2 - 965 + 568 + 543.\nAnswer: -2*f**2 + 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 2:52 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 37*t - 0*t - 458, 26*a + 17*a = -t + 37*a + 593 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from {z: 3, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -15 + 3 + (66 + -25 - 7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107, -208, -309, -410, -511?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*u = -18*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -46*s - 506. Calculate r(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 4*x**2 - 40*x + 228. Does 109 divide g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1568309416?\nAnswer: 2, 43, 101, 45139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 28*m - 26*m - 20, 2*m = -2*o + 18 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.274315 milliseconds to seconds.\nAnswer: 0.008274315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -11*l - 2. Let f(u) = -23*u - 5. What is 4*f(b) - 9*n(b)?\nAnswer: 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -35*d**2 + 2*d - 74?\nAnswer: -70*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 138 - 135. Factor 4*w**d - 17*w**4 + 9*w**2 - 7*w**3 - 5*w + 0*w + 16*w**4.\nAnswer: -w*(w - 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 2*r. Suppose 4*j - 9 - 11 = r. Suppose -n - n = 0. Solve n = -2*h + j - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -290*c + 185*c - 419 + 2834 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74*o**2 + 61 - 61)*(o + 3 - 3).\nAnswer: -74*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -5*r**3\/6 - 3*r**2 + 2*r. Let x be j(-5). Is (-6)\/(-21) + x\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -2826, 184.\nAnswer: -2826, -2, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -c**5\/4 + 65*c**4\/12 - 275*c**3\/6 + 375*c**2\/2 + c + 535. Find h such that u(h) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j - 17*j + 5*j + (-2 - 3 + 6)*(2*j + 4 - 4).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 4\/489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + n - 38*n + 36*n.\nAnswer: -n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26339057?\nAnswer: 31, 73, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/10)*j)\/j*j**6*((j\/(j*j**(-1\/2)))\/j)**(-9\/4))\/(j\/j**(1\/2)*j\/(j*(j\/(j**6*j)*j)\/j)*j**4*j**(-1\/9)) assuming j is positive.\nAnswer: j**(-1211\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y. Let c(x) = 2879*x. Give c(z(j)).\nAnswer: 23032*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43737576 by 6.\nAnswer: -7289596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -1. Let s(l) = l + 1. Let b(t) = -s(t) + 3*v(t). Let z = 7586 - 7575. Let c(o) = -9 + 2*o - 12 - 6*o. Calculate z*b(j) - 2*c(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -3, 10, 6, -2\/7, 4 in ascending order.\nAnswer: -17, -3, -2\/7, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -1. Let j = a + -3.4. Let r = j + 0.7. What is r rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 201160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11983 and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/2)\/(-10*(-1)\/20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/177 or 3\/2072?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*d - 7 = -0*t, -t = 2*d - 4. Suppose 0 = -3*l - 0*l + 3. What is the least common multiple of l and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i**3 - i**2. Let r(p) = -p**3 + 9*p**2 + 10*p + 1. Let c be r(10). Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eioe when four letters picked without replacement from einoenoijoonin?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.26 - 1.76. Let h = -1.50000812 - i. What is h rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -259 - 29. Find the common denominator of 2\/(-9) + 1124\/j and -80\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**2 + 0*k**2 - 4*k**2. Let n = -5 + 7. Let z(c) = 2 + 0*c - 2 - n*c. What is h(z(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 18, 60, 136, 258, 438, 688, 1020?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7218 + o - 7218.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2888 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 - 3*t**4 + t**4 + (0*t**3 + 3*t**3 - t**3)*(-3 - 25*t + 2 + 2) to the form d*t**2 + i*t**3 + r + p*t + g*t**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -53453 (base 6) in base 5?\nAnswer: -213210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6213, 4106, 1985, -156, -2323, -4522, -6759, -9040?\nAnswer: -11371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000405661543 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = 11*h - 24. Suppose h*d - 1770 = 14. List the prime factors of d.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -f**4\/16 + 11*f**3\/4 - 43*f**2\/4 - 30*f - 59. Determine o so that m(o) = 0.\nAnswer: -1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 9:37 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3562 - 1956. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 3*v**2 - 1. Suppose -14*n + 35 - 63 = 0. Give t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.036, -55, -1\/4?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 13. Let w = -12 - v. Let h be 5\/(-6)*(-4)\/5. Which is the smallest value?  (a) w  (b) 0.6  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13170797641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 369012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-288)\/224*1\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1340*w + 3025*w - 205818 - 276941 = 54136 for w.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 equal to 1355.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 254742 divided by 3?\nAnswer: 84914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -46 + (34 - -45).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 79, 10, 5, 8, -3, -2, -10 in descending order.\nAnswer: 79, 10, 8, 5, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -7*((-6)\/(-3) + -7). Let k be (-10)\/r - 90\/(-21). Is k + (-4 - -23*13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*v**3 - 44*v**3 + 208*v**3.\nAnswer: 122*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113103123 (base 4) in base 15?\nAnswer: 70e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) -1\/5  (b) -403\/6  (c) -1.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 502412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1, 7.43, -0.4 in descending order.\nAnswer: 7.43, 1, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*l + 27*l - 9. Suppose -2*a + 3*a = p + 6, -2*p - l = -a. Let t(o) be the third derivative of -o**4\/8 - o**3\/6 + o**2. Calculate t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 961.3099 weeks to hours.\nAnswer: 161500.0632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of -1\/6*a**3 + 2\/15*a**6 + 0 + 0*a - 3*a**2 + 0*a**4 + 1\/60*a**5. Give k(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.03679 rounded to 3 decimal places?\nAnswer: -2.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 0 + 1\/12*l**4 + 11*l + 9\/2*l**2 + 3\/2*l**3. Let w be d(-8). Solve k + w + 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**3 - 8*i**2 - 2*i. Let y(a) = a**3 + a**2 - a + 1. Let d(r) = -3*r**3 - 12*r**2 + 2*r - 4. Let w(k) = d(k) + 4*y(k). What is -2*p(q) + 3*w(q)?\nAnswer: -q**3 - 8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75373993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -t**9\/1080 + t**6\/72 - t**4\/3 - 9*t. Let c(k) be the third derivative of q(k). What is the second derivative of c(z) wrt z?\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 - 9*p - 9. Let q be t(10). Let l(w) = -3*w**3 - 2*w**2 + w. Give l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28718092.\nAnswer: 2, 13, 552271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 84068.98 millilitres in litres?\nAnswer: 84.06898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26042138 to the power of 1\/2, to the nearest integer?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 4*m - 17. Let k be c(5). Let i(j) = -9*j**2 - 5*j - 3. Let h(u) = -7*u**2 - 5*u - 2. Let b(g) = -5*h(g) + 4*i(g). What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(19) + 0 - ((sqrt(19) + 0 - sqrt(19)) + -1 + sqrt(19)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v - 456 = 19*v - 2*z, -5*v - 4*z + 452 = 0. Let a = 94 - v. Solve a*k + d + 0*d = 0, 0 = -2*k - 4*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 240613\/836 + -5500\/19. Find the common denominator of -77\/40 and u.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 29. Solve 2*k - s*k + 5*v - 10 = 0, v = -k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (77255 - 188*y**2 + 35*y**2 - 77244)*(5 - 5 - y).\nAnswer: 153*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5255 by 28.\nAnswer: 5255\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -5, 0, -75, -4, 256 in increasing order.\nAnswer: -75, -5, -4, 0, 15, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2030355061 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: Let h be 8\/5*((-45)\/(-20) + 14). What is the highest common factor of h and 1963?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-1)\/((-4)\/(-8)*-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16534 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51762 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 12 = 6*l + 4*i, -2*l - 10 = 2*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 11263.\nAnswer: -2\/11263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/5)\/h**(4\/5))**(6\/19)\/(h**(-4\/7)*(h\/h**(-9\/4)*h)\/h*h**(-2\/13)*(h*h**(-9))\/h) assuming h is positive.\nAnswer: h**(219547\/34580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**3 + 21*l**2 - 1112*l + 11011. Calculate p(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 41*s**2 - 67*s + 660. What is the remainder when l(37) is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 8*g**2 - 11*g - 20. Let u be c(8). Let w be (-36)\/u*3*2\/4. Factor 11\/4*k**3 + 0*k + w*k**2 + 0.\nAnswer: k**2*(11*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 34*a**3 - 2*a**2 - 2*a. Let i be c(2). Let d = 675 - i. Is d a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33010663*z**4 + 421897248*z wrt z?\nAnswer: 396127956*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 2\/1321785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9502 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r - 20*r + 156. Solve -2*i + 3*z = -6, z - r = 4*i + 4*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 59  (b) -2\/7  (c) -4\/7  (d) 4\/5  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.063 and 20003790.3485?\nAnswer: 20003790.4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6 and 127345629.2.\nAnswer: 127345635.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(10 + 370\/(-35) - (-6)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/(-8)*(1 + 3). Let b be (4\/(-8))\/(1\/(-12)). Suppose 5*m + i - 127 = -b, -120 = -4*m + 5*i. Calculate the highest common divisor of q and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.76653 to three dps.\nAnswer: -0.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*y + 435 = -10*y + 295 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 3:23 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -142.427487 rounded to one dp?\nAnswer: -142.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 12 = 3*n. Let d(j) be the first derivative of 1 + 1\/18*j**6 + 1\/9*j**3 - 1\/12*j**n - 1\/15*j**5 + 0*j + 0*j**2. Determine r, given that d(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 19*w - 321*w - 83*w + 0 as t + m*w and give m.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -129, -129, -127, -123, -117, -109, -99?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -5*j**3 + 4*j**2 + 3. Let p(m) = 11*m**3 - 9*m**2 + m - 7. Calculate 2*p(a) + 5*w(a).\nAnswer: -3*a**3 + 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i**3 + 3*i**2 + 2*i - 3. Let d(o) = 8*o**3 + 5*o**2 + 5*o - 5. Let m(p) = 3*d(p) - 5*w(p). Find the second derivative of m(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/(-12))\/(4\/(-6)). Suppose -6*z + 20 = -q*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 0. Let b = 82 - 81.7. Put b, c, 3\/8 in ascending order.\nAnswer: c, b, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -569, -11, 0, -6 in increasing order.\nAnswer: -569, -11, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -9*g - 74. Let s be r(-12). Let f = -328 - -617. Calculate the greatest common divisor of f and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/1478 or -106?\nAnswer: -5\/1478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 - 8*a**2 + 11*a + 3. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (45 - 41)) + -33.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r + 2560*r**2 - 2562*r**2 + 2*r + r. Let x(k) = 6*k - 6. What is x(p(m))?\nAnswer: -12*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 7*j + 5*l + 43, -l = -3*j + 35. Suppose 0 = -0*a - a + 47. What is the remainder when a is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.18, -2\/7, -1, -0.1, 2, -0.3 in decreasing order.\nAnswer: 2, 0.18, -0.1, -2\/7, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/10801 and -11\/241?\nAnswer: 2603041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 6*z + 8. Let c = 15 + -9. Is 8 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of l**4\/6 + 5*l**3\/6 - l**2. Let t(y) be the second derivative of -5\/6*y**3 - 3*y**2 + 0 + 4*y. What is -4*a(p) - 3*t(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * -1.5318\nAnswer: 0.107226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 159 + 3?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -17*g + 11*g. Suppose -p - 3*p + 20 = g. Suppose 5*j = -5*l + 405, 0 = p*l - 2*l + 9. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (-47 + 28 + -3 + -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2214 - 4?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (19\/((-133)\/2))\/((-7)\/66199)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1831*o + 20 = 1827*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + l + 22 = 17, 3*l = 3*s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 5*f + 17718 - 16906 - 2*f.\nAnswer: f + 812","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1362 (base 8) to base 14\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2 + 0*s - 2*s + 6 - 5. Calculate v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 779.9555 meters in millimeters?\nAnswer: 779955.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12144762 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.2, 3\/2, 0, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 391\/3534 - 1\/186. What is the nearest to 1 in 23\/4, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 278 + -188. Suppose 3*i = q + 42. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100122011120 (base 3) in base 4?\nAnswer: 20311102203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 13. Suppose 59*z - 54*z - 10 = m. Determine y, given that 6*y**2 - 204*y**3 + 208*y**3 - y**z - y**2 - 4*y - 4*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/14 + 29\/70. Let k = -186 - -122. Let d = k - -65. Which is the nearest to p?  (a) 0.2  (b) d  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-12)\/51*34\/(-4)). Is i >= -9\/532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 12:46 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 5) + 4 + (-4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159*u + 152*u = -49. Which is smaller: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12073*d = -12381*d + 38500 for d.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -31, 2, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*(6*(sqrt(153) - sqrt(153)*1) + sqrt(153)))\/(sqrt(81) + sqrt(81) + ((sqrt(81) - -2*sqrt(81)) + sqrt(81))*-5 + sqrt(81)).\nAnswer: -4*sqrt(17)\/51 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 310\/30 + -10 + 3466\/(-3). Let y = p - -1631. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-15))\/(6\/(-5) - -1). Let y(h) = -h**2 + 7*h - 4. Let c be y(6). Suppose c*s + 30 = 7*s. Solve 0*r - s = a*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 409133597.\nAnswer: 409133597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -4, 2\/3, -0.5, -6\/5, 375.\nAnswer: -4, -6\/5, -0.5, 2\/3, 1, 3, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 150257 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35141505 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10965 + 10965 - 98*n.\nAnswer: -98*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**2. Let j(r) = -1941*r. Give j(t(q)).\nAnswer: 5823*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of q**6\/720 + q**5\/40 + 2*q**4\/3 + 30*q. Let d(u) be the third derivative of l(u). Let h be (9\/18)\/((-1)\/8). What is d(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-558)\/(-10) + 2\/10. Let k be 46\/w + (-15)\/20. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(0 + 0 - 2*g) + (-9 + 9 - 6*g)*(-1 - 2 + 0) - 3*g - g - 4*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1 + (-12)\/(-14))\/(24\/(-2884)) and 8 + -7 + 392\/576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94573291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, -0.4, -0.2, 2 in ascending order.\nAnswer: -0.4, -0.2, 0.17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1463968199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9\/794 + -22906\/63123. Calculate the common denominator of 21\/2 and q.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -87, -55, 71, 321, 725, 1313?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1403613, 1404103, 1404593, 1405083, 1405573, 1406063?\nAnswer: 1406553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-66)\/(-176))\/((-117)\/78).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 40, 48, 58, 70, 84, 100, 118?\n\"Answer: f**2 + 5*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*l - 336 - 1327, 2*l = -4*m + 1092. Let p = 482 - l. Which is smaller: -70 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/4*(-320)\/700?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e63 (base 15) to base 14.\nAnswer: 25aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*w = 2. Let s = -1113\/11 - -101. Let t = 1.1 + -0.1. What is the nearest to t in s, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 7*m**2 + 2*m - 1. Let a(y) = -y**2 + 1. Give -3*a(w) - f(w).\nAnswer: -4*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 6:52 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 - 9263025*p - 18526038.\nAnswer: -3*(p + 2)*(p + 3087673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 13*g - 4. What is t(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1028103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (-1 + 2))*3. Let z be (-4)\/(-2) + (-14)\/7. Let m be z + (-3 - (-7 + 0)). Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 3*q**2 + 5*q - 2. Let u be l(-4). Let k = u - -61. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2533 + -1678. What is the smallest common multiple of 342 and w?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 232, 483, 734, 985, 1236, 1487?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -4*j + z - 0*z, -2*j + 55 = 3*z. Let r = -8 - -12. Suppose 5*o = r*s + 39, 0 = 3*o + s - 29 - 8. Calculate the remainder when j is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 divided by -46.\nAnswer: 20\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 149.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236873886 is divided by 1752.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1369 (base 12) to base 14.\nAnswer: b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1782, -7693, -17428, -30891, -47986, -68617, -92688?\n\"Answer: 16*f**3 - 2008*f**2 + f + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8791.016 micrometers to millimeters.\nAnswer: 8.791016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 7*o**2 + 8*o + 7. Let k be c(-5). Suppose 5*b - 407 + k = 0. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-seven quarters of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 570 and 60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 38062.\nAnswer: -4\/19031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -12. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5257 divided by -129\nAnswer: 5257\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 6*y**2 - 4*y - 15. Give i(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -n**2 - 13*n + 47476. Suppose 3*m + 2*m = -5*u - 50, 0 = 4*m + 3*u + 37. Let p(r) = -r - 4. What is m*p(t) + 2*s(t)?\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**4\/5 - 683*x**3\/5 + 1362*x**2\/5 = 0.\nAnswer: 0, 2, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60217.\nAnswer: 60217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-3*29\/116)\/(876\/32))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 - -48. Suppose 2*g = 11 + u. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5459 + 5821. Solve d - 365 = -c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2149465 divided by 93455?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 712.5406 nanograms to micrograms.\nAnswer: 0.7125406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6077 or 717151\/118?\nAnswer: 717151\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53776, -53817, -53882, -53971, -54084, -54221?\nAnswer: -54382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4407 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: Divide -43200 by 100.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -182 + 2*l**2 + 2*l**3 - 3*l**2 + 175. Does 31 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of u**2\/2 - 32*u + 58. Differentiate z(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**2. Let n(u) = -4*u**2 - 12*u**2 + 33*u + 41*u - 75*u. Determine n(q(z)).\nAnswer: -64*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -5, 2\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -24, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 9*p - 96. Let h be ((-18)\/p)\/(((-6)\/4)\/1). Which is the biggest value?  (a) 2  (b) -1  (c) h  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6975852 times -1.4\nAnswer: 9766192.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 plus -321170?\nAnswer: -321128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 119*s**3\/3 + 3*s**2\/2 - s - 344. Let n be -3 + (2 - 1)*0. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -90c?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 5*k + 2*k**3 - k**3)*(49 + 62 - 148).\nAnswer: -37*k**3 - 111*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from acaabajjjanaajaja. What is prob of picking 4 j?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 4, 34, -5 in decreasing order.\nAnswer: 34, 4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13932560518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (0 + -3 + 18)) + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 10:45 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 11*h + 4. Let l be q(-5). Let v be (l\/40)\/(6\/390). Are v and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 15) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 10*i - 5*t, -18 = 18*i + 3*t + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 136925 - 1361421\/10. Let k = 784 - y. Calculate the common denominator of -93\/2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, e: 3, m: 2, j: 5, l: 3}. What is prob of sequence ms?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 41067*z**5 - 4745619918*z**4 + 14074494529*z**3\/3 + 161779796*z**2\/3 + 154076*z = 0. What is z?\nAnswer: -2\/351, 0, 1, 115557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12782160 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let q be (-1 - -38)*1 + 2. Let y = q - 39. Let k(u) = -u**3 - u**2 + 48. What is the tens digit of k(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 6:38 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10\/(-15))\/((-2)\/6). Suppose -2*y + 5*z - 11 = 0, -4*y + 2*z = -x - 0. Suppose -3*d + 4*f = -19, -2*f + 5*f + 10 = -y*d. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 646 divide 484016809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, a: 4, q: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 166936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 + (-1)\/2)*-2. Let d(t) = t**3 - 4*t**2 - 6*t - 2. Let o be d(i). Let n = o - -9. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -27, 9, 4, -285, -2 in decreasing order.\nAnswer: 9, 4, -1\/7, -2, -27, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-15)\/(-10))\/(6*3). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -389*h**2 + 13*h + 17*h**2 - 3*h - 10*h as x + u*h**2 + q*h and give u.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((121\/11)\/(-374))\/((-5)\/(-4)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b - 8*b**4 + 5*b + (0*b + 3*b - 4*b)*(3*b**3 + 3*b**3 - 4*b**3) + 8*b**4 - b**4 - 5*b**4 + 11*b**3 as y*b + i + g*b**4 + r*b**3 + q*b**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 9:38 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -4824454?\nAnswer: 7\/2412227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -15, -58, -163, -360, -679, -1150?\n\"Answer: -5*t**3 - t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.21, -4\/5, -9, 1 in descending order.\nAnswer: 3, 1, -0.21, -4\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 856, 1708, 2560, 3412, 4264?\n\"Answer: 852*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 8 = 1. Solve n*s = -s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 4 = -5*l - 5*i - 5 + 5, 3*l - 2127 = -0*l - 720*i for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2101403383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 224\/39 - 3079\/312. What is the common denominator of 0 + 1 - -2 - 357\/54 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -397 + 2*q**3 - 398 + 794 - 2*q**4 - 2*q - 2*q**2 to c*q + i + r*q**4 + k*q**3 + l*q**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03961177 rounded to four dps?\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 4. Sort c, -1, 1\/3 in descending order.\nAnswer: 1\/3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11, 13, 15, 17?\n\"Answer: 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 259*i**3 - i**2 - 3*i + 30. Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 6 = -9. Suppose 0 = 5*d - 5*w - 25, 25 = 2*d + z*d - w. Solve -8*y - 2*b + 6 = -5*y, -4*b = d*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 165 + -163. Let n be ((-126)\/(-8))\/(b\/((-32)\/(-6))). What is the greatest common divisor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zff when three letters picked without replacement from cffcffmzczscrz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -990 * -0.3371\nAnswer: 333.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -350 + -4.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.4 - -6. Let c = g + 0.2. Let p = 31 + -34. Put p, 5, c in descending order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 87700.\nAnswer: -263100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by (110\/(-165) - (-10)\/24)*-236.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-184357107)\/(-243) - -6*3*4\/(-324) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 + 5*r + 3*r**2 + 2 + 0*r**3 + r**3. What is the units digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171376012 = 4*z + 2*w, 16*z - 5*w - 113483451 - 572020519 = 0. Round z to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 - -0.2. Let f = -0.1 + l. Let k = f + -0.3. Put -0.3, k, -4 in ascending order.\nAnswer: -4, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (5 + 1 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95904, -191829, -287754?\nAnswer: -383679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/70 and -155\/38094.\nAnswer: 190470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 15*r**2 + 14*r - 12. Let z(j) = -j**2 - j - 1 - j - 6*j. Let h be z(-5). Let m be i(h). Are -12 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6446511 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**2 + 34 + 0*b**2 + b**2 + 986*b - 5*b**2.\nAnswer: -b**2 + 986*b + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -12250 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1960299.\nAnswer: 3, 11, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**2*i - 15254*b**2 - 2136*i + 18 wrt b.\nAnswer: 2*b*i - 30508*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -0.9, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2289604 is divided by 372.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 753 - 547.9. Let u = 538 + -323. Let m = u - n. What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 324 and 63?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.32 + 0.08. Let j = r + 0.1. Let t = 0.4 - j. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2065, -1, -0.1, -2, 5 in decreasing order.\nAnswer: 5, -0.1, -1, -2, -2065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-23)\/(3542\/28))\/((-1)\/22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/108)\/((144\/(-81))\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fcvq when four letters picked without replacement from efccevqz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/(-12)*-2*6\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3290 + -7813. Let r = y + 4527.462. Let m = r - 4.5. Round m to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5975 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (50\/(-30))\/(-38*90\/864*4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275 = -55*z, -31*y + 2*z + 58 = -29*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 3*z - 150 = 0, -3*f + 27613 - 27823 = -17*z for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, j: 7}. What is prob of sequence sjjj?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -33 or -3\/55?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 340 and 21605980.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((10981\/8201)\/79).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*j*k**2*r - 8*j*k*l - 11335*j*l**3*r + j*r + 66*k**2*l**3 - 23*k*l**3 wrt r.\nAnswer: -2*j*k**2 - 11335*j*l**3 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 9:12 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*i - 842 = 89. Let n = -62 + 91. Let w = 46 - n. Calculate the remainder when i is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 16 = -44. Let k = 951 - 6638\/7. Calculate the common denominator of k and (-109)\/10 - 6\/w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5069 - -5054. Which is the closest to 0.1?  (a) -0.01  (b) d  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31383385 is divided by 593.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 183548923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -617, -586, -535, -464, -373, -262?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 7*u - 6. Let l = 14 - 20. Let n be o(l). Let s be n + 2*12\/32. Put 1, -0.5, s in descending order.\nAnswer: 1, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -61*z - 24. Let q be s(-11). Suppose r = -5*v + 687, 2*r - 707 - q = -5*v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1397 + -1387. Suppose -4*o = 5*q - 4, 1 = -2*o + 3. Suppose q = -w - 5*h - 25, -h - c = 5*w + h. Solve -j - 5*g = -27, -4*j + 3*g = -w + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.91 - -0.90828. Round d to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*y + 3756 - 3756)*(2*y**2 - y**2 - 2*y**2)*(-3 + 4 - 2) + 8*y**3 + 0 + 0.\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 140465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -2. Suppose 3*c - 5 = -4*f + l*f, -c = -2*f + 9. Suppose -4*o - f*b + 88 = -b, 0 = 4*b. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -22*r**2 - 7*r + 1061. Let s(h) = -26*h**2 - 8*h + 1060. Determine -7*i(u) + 6*s(u).\nAnswer: -2*u**2 + u - 1067","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 36. Let w = -66 + 49. Let a be j(w). Let b(q) = -q**a + 2*q**2 + 3*q - 2 + 2. What is b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 523a3035 + 5?\nAnswer: 523a303a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18676, -18958, -19236, -19510, -19780, -20046, -20308?\nAnswer: -20566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.090843725 to 5 decimal places.\nAnswer: -0.09084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -706 + 960. Does 75 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1793541 (base 10) in base 15?\nAnswer: -256646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8123754 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -110011132002 (base 4) in base 12?\nAnswer: -191b056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*n + 96 = 0, -z + 7 = 2*n - 17. What is the common denominator of -7*(-26)\/(-12) + 1 and 604\/z - 0 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**3 - 3*s**2 - s. Let c be a(-1). Suppose 2*q - 36 = -c*q. What is the tens digit of q\/(-3)*(-5 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u + 22*u**3 - 7*u - 18*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 809 + -560. Suppose -17*i - j = -18*i. Suppose 4*x = p + i, 3*x + 3*p + 137 = 5*x. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 4*h + 68, 5*h - 50 = -3*a + a. Suppose 600 = -0*g + 5*g. Calculate the greatest common factor of a and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 1 = -6. Let r = l - -3. Solve -r*t + 16 = -4*y, 4*t + 2 = -2*y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2362422.\nAnswer: 2, 3, 17, 19, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 249\/12 - 2\/(-8). Let q be (-1)\/7*m\/(-18). Let s = 1202.9 + -1203. Which is the closest to 1?  (a) q  (b) s  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 17*b + 22. Suppose 0 = l + 3*x + 15, -2*x = -4*l - 64 - 10. Calculate the remainder when g(l) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 11 = -3*m + 2, 4*m - 2*a = 10. Suppose 0 = -m*b + 5*l + 10 + 6, 0 = 4*b + 4*l. Suppose 0 = -2*p + 4, 0 = 4*c - b*p + 10 - 106. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/16 - 17\/48. Let l = -8 + 7.8. Which is the second smallest value?  (a) l  (b) -6\/5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (48\/9)\/(-4) + 0. Let g be (162\/(-108))\/(-1 - 0). What is the fourth biggest value in -0.2, -0.5, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 8:49 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3.2. Let i = -0.2 - k. What is the nearest to -1 in -0.5, -5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7433, -7431, -7429, -7427?\nAnswer: -7425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.15 - -1.15. Sort -0.5, m, -3\/2.\nAnswer: -3\/2, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7879 take away -125764823901?\nAnswer: 125764831780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + 3 + (((sqrt(126)*-1 - sqrt(126))\/sqrt(6) + sqrt(21))\/((sqrt(6)\/sqrt(2) + sqrt(3))*-5))**2).\nAnswer: 807\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11 + -4 - (1 - -2). Suppose 2*a + 3*u - 10 = u, -c*a - 12 = -4*u. What is the smallest common multiple of a\/(0 - (-1)\/4) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/13?  (a) -4  (b) -1\/282  (c) -0.193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*n**2 + 7*n**2 - 4*n**2 - n + n - 2*n**2 + (2 - 2 + 2)*(-n**2 - 1 + 1))*(12*n**2 + 9*n**2 - 18*n**2).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 - 22. Suppose 0 = -3*i + 52*n - 51*n + 95, 0 = -i - 3*n + 25. Calculate the remainder when i is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - q + 0 - 7 + 3527*q**3 + 12.\nAnswer: 3527*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126 = 3*c + 138 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28\/1601 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002012 (base 3) to base 8.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(325) + 1 + sqrt(325) + -3) + (0 + (sqrt(325) - ((sqrt(325) - (0 + sqrt(325))) + sqrt(325) - sqrt(325))) + -1)**2.\nAnswer: 30*sqrt(13) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/40 + -3 + 1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 18. What is the third biggest value in 0.2, c, 1\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2 = 2*q + 8, l - 17 = 3*q. Put -2, -5, -4, l in increasing order.\nAnswer: -5, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 160 - 158. Suppose 281 + 409 = u*s. List the prime factors of s.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1aea06 (base 15) to base 14\nAnswer: 2633bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = k - 7, -3*i + 6*i - 5 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1730a (base 13) in base 2?\nAnswer: -1010110110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 5143689720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9837\/(-55743) - ((-834)\/34)\/3)*(-2 + 15).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 6 = -p + 4*p, -8 = -4*p + 5*h. Calculate the smallest common multiple of (-22)\/99 + (p - (-56)\/9) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2087.77058942 - 1243.77058359. Let q = 844 - v. Round q to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3\/7)*z\/(z\/z**(-2\/15)*z))**8 assuming z is positive.\nAnswer: z**(-1312\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/35  (b) -4\/9  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + a - 1. Let f(w) = 6*w**2 + 5*w - 4. Calculate -4*b(l) + f(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -r + 55, -5*t + 0*r = 2*r + 59. Let m(b) be the third derivative of -b**5\/60 - 13*b**4\/24 + 2*b**3\/3 + b**2 + 640*b + 5. Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 307*u - 310*u + 5*m = 1, -2*u = 4*m - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/27)\/(q*q\/q**7)*((q*q**(1\/2)*q)\/q)\/((q\/(q**(-17)*q))\/q))**(2\/99) assuming q is positive.\nAnswer: q**(-509\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 60544771 - -13?\nAnswer: 60545004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 197660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*k - 16*k - 162*k**2 - 355*k**2 - 14*k.\nAnswer: -517*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 2*o + 9. Give p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*s - 6*s - 31*x + 27*x - 116, -2 = 2*x for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**2\/5 - 88*t\/5 + 576\/5 = 0.\nAnswer: 8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3 + 24178950*p**2 - 48718468591875*p.\nAnswer: -3*p*(p - 4029825)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: a4dea (base 15) to base 8\nAnswer: 1775217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 3*g - 2*g. Let b = g + 12. Let o(l) = -7*l**3 - l**2 - l - 1. Is 6 a factor of o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12535320 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -15*v**4 - 24*v**3 + 237*v**2 - 90*v = 0.\nAnswer: -5, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**3\/5 - 1431*w**2\/5 - 44469*w - 2263545 = 0 for w.\nAnswer: -207, -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 187908 divided by 42\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136341 is divided by 8518.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 28991 divided by -6\nAnswer: -28991\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01 - -225.\nAnswer: 225.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25204.07 millilitres to litres.\nAnswer: 25.20407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 18  (b) -0.1  (c) -2\/13  (d) 3  (e) 0  (f) -72\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000110110111111 - -1?\nAnswer: 10000110111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -5*q + 78. Let o be w(5). Calculate the highest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 86*z**3.\nAnswer: -86*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 414, 875, 1328, 1767, 2186, 2579?\n\"Answer: -w**3 + 2*w**2 + 462*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 2. Let x(a) = -4*a - 15. What is the remainder when 33 is divided by x(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 19363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1860 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from kkpkkykpkdkd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -1, -23 in decreasing order.\nAnswer: 5, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0429 - 0.2571. Let f = -9\/26 - 2\/13. Which is the smallest value?  (a) l  (b) -8\/3  (c) f  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20937 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2114 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1355868, 5423617, 12203198, 21694611, 33897856?\nAnswer: 48812933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 - 19. Let w = -11 + u. Suppose 4 = 2*i - 0, w*j = 5*i + 1239990. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -19  (b) -1\/5  (c) 4  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1496 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -116, -1110, -3926, -9512, -18816, -32786, -52370, -78516?\n\"Answer: -158*f**3 + 37*f**2 + f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w. Let h(g) = -168*g**2 + 15. Let d(y) = -334*y**2 + 37. Let n(q) = 2*d(q) - 5*h(q). Calculate n(s(t)).\nAnswer: 2752*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207 and 5256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 41009221\/1992 - (-3)\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-3)*16\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 - 4*z + 2*z**2 - 2*z**4 + 2*z + z**4 + 6 to the form h*z**2 + b*z**4 + f*z**3 + t + n*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4771\/275 + 197\/11. Let i = 54\/25 - n. Which is smaller: i or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (4 - 7699) - 4. Let b be m\/11 - 4\/(-22). What are the prime factors of (-2)\/(5\/(b\/8))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4532369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 1\/2, 4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*y - 74*y = 24 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 49\/(-7)*4\/(-14). Let z(j) = -6 + 6 + 4*j**a. Let k(r) = -r**2. Determine z(k(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311 (base 5) to base 11.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 42975  (b) 0.017  (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/65 and -2\/271271.\nAnswer: 1356355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.6, 4, 18.69, 1, -5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -117662 - -5601.667.\nAnswer: -112060.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -359 * -2\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2149801 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -604 + 1814\/3. Suppose -u = 3*u + 3*r + 3, -3*r - 6 = 5*u. Let i = -0.34 - 0.06. Which is the nearest to u?  (a) 1  (b) w  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -811 = 12*h - 847 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1277 + -608. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, d: 2, q: 1, b: 1, f: 2}. What is prob of sequence fy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**18\/u*u*u*u\/u**(4\/19)*u)\/(u**(-9\/5))**(-9) assuming u is positive.\nAnswer: u**(531\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-230))\/(-1) + 3008\/34592.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.11 - 0.11. Let r = -4.1 + c. Let s = 0.4 + -0.1. Put s, r, -0.2 in increasing order.\nAnswer: -0.2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.2, -0.5, 40, 0.05 in descending order.\nAnswer: 40, 0.05, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 13 = 4*v, -2*v - 3*m + 4 = -7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000307631398 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 201741*b**4*n - 405*b**2*n**3 - 445*b*n**2 - 54*b*n - b + 283*n**3 wrt b?\nAnswer: 2420892*b**2*n - 810*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205893751?\nAnswer: 7, 193, 257, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3801\/1049897 + 81536505453983\/18898146. Let c = 4316808 - g. Let z = c - 2281. What is the common denominator of z and 79\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1060, -0.5, 0.4, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 827763 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 5*s - 23157. Let v(w) = -2*w. Determine v(u(n)).\nAnswer: -2*n**2 + 10*n + 46314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 88679 and 73719.\nAnswer: 162398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2356631 rounded to four dps?\nAnswer: 0.2357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.153, -0.03, -512, 83 in decreasing order.\nAnswer: 83, 0.153, -0.03, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*z**(-2\/7)*z)*z))\/z**7*((z\/(z*z**(2\/5)))\/z)**(3\/8)*(z**(5\/4)\/(z\/z**(-3)))\/(z*((z\/z**0)\/z)\/z*z)**(25\/3) assuming z is positive.\nAnswer: z**(-15031\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (320\/(-10) + 22)*1\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 380 (base 14) to base 4\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/114 and -73\/57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 3*u**2 + u + 69. Suppose -5*o = 3*x + 115, -o + 2*o = -x - 37. Let z be 3 + 110\/x + 1\/7. List the prime factors of a(z).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from fzzefzfzfwf.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -252687 divided by -3\nAnswer: 84229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + -0.1. Let m = 567937.4 - 567938. What is the third smallest value in m, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 10*k - 13. Determine n(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -213038*i**6 - i**2 - 36*i + 66.\nAnswer: -25564560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3693431.\nAnswer: 7, 527633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25635 + -7897. Suppose 0 = g + 3*q - v, 4*q + 28044 = 5*g - 60703. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 259, 5, 1, -0.5, -2\/9 in ascending order.\nAnswer: -0.5, -2\/9, -0.06, 1, 5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -13, 5 in increasing order.\nAnswer: -13, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 684*v = 755*v + 852 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 514057515\/44 - 11674719. Let b = 8404 - j. What is the common denominator of b and 65\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131241.\nAnswer: 3, 11, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 83\/7. Which is the third smallest value?  (a) p  (b) 1  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -25  (b) -3621\/8  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6612832*u + 6612624*u = -20800 for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (-1 + (8 - -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/219 and 23\/21333.\nAnswer: 1557309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -348862*a - 19*t = -348861*a - 70, 2*a = -2*t - 4 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 2:59 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5086395?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101001000100 - -100100101?\nAnswer: -100100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/((r*r**(-5)\/r)\/r))\/r**(2\/19)*r*r\/(r\/(r*r**(2\/5)))*r**(-2\/5))**(1\/18))**(1\/5) assuming r is positive.\nAnswer: r**(169\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eercrehrec. What is prob of picking 1 c and 1 h?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2505 - -5792. Is 59 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0 + 4. Suppose r*x - 4 = -0*x. Suppose -t = x - 5. What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)*4*-5 - sqrt(55)\/(6*sqrt(125)).\nAnswer: -1201*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-418 - -268)\/(3\/(-5)) is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2560)*2 + sqrt(40)))\/(sqrt(392) + 2*sqrt(392) - -4*2*sqrt(8))*5.\nAnswer: 340*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -ab?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 2:37 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j**3 + 12*j**2 + 12*j - 5. Determine h(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 4*m + 41, 24*h + 380 = -10*h - 3*m for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5134164 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*k + 8*k + 7*k + 17*k + 421 - 467 as b*k + a and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 5.156. Let z = 0.074 - k. Let t = z + 0.08118. What is t rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.23691 centuries in decades?\nAnswer: 592.3691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3766 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 124, -92742, 5 in ascending order.\nAnswer: -92742, -3, 0, 5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24133*v - 26 - 3 = 24134*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 389 + 1?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 3*f**5\/2 + 5*f**4\/2 - 23*f**3\/2 + 19*f**2\/2 - 2*f = 0.\nAnswer: -4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(2057) + -2 - sqrt(2057)*4*-1) + -3)**2.\nAnswer: -550*sqrt(17) + 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by 15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/(-6) - 3\/(-9). Suppose 0 = -m*d + 5*l + 25, -d - 3*l = -4*l - 6. Suppose d*j - 34 - 311 = 0. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 4*r = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of s**4 - 4*s**3\/3 - 11. Let b(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16957607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b. Let y be l(-2). What is the third derivative of 3*v**4 - y*v**4 + 2*v**4 - v**2 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 12:24 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9664611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 461*v**2 + 45*v - 163. What is the thousands digit of r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 + 9*d**2 - 12*d. Let n be x(6). Suppose -152 = 4*j - n. What is the remainder when j is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -240859, -481762, -722681, -963616, -1204567?\nAnswer: -1445534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of -5*b**2 + 56. Let g(q) = 7*q**2. Determine s(g(d)).\nAnswer: -70*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 744 divided by 8.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139 + -136. Suppose -5*t - 2*b = -142, 0 = -t + i*t - 4*b - 76. Suppose -3*h + t = 7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -4*h - 3*s, -30 = -5*h - 5*s. Suppose j - h = -2*j. Let u(d) = -12222*d**2 + d - 5. Let p be u(j). Round p to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 2 - 0) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*o + 4*q - 653, 3*q = 2*o - 269. Let m = -70 + 42. Let p = m + o. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-6) - (-8)\/6. Solve 3*u + a = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -629 - -619. Let j(a) = a**3 + 10*a**2 + 4*a + 10. Give j(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3026, -12299, -27746, -49361, -77138, -111071?\n\"Answer: r**3 - 3093*r**2 - r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 523692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.4, 0.7, 2, 21 in ascending order.\nAnswer: 0.4, 0.7, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 16, w: 1, a: 3}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2. Let h(w) = -9852*w**2 + 6*w + 3. Let y(a) = -151080422*a**2 + 92008*a + 46004. Let z(v) = 46004*h(v) - 3*y(v). Determine n(z(r)).\nAnswer: 97180164*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p**3 + 4*p**2 - 11. Let s(h) = 2*h**3 - 3*h**2 + 12. Calculate -3*g(d) - 4*s(d).\nAnswer: d**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -194*p + 7513. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324 = -29*g + 469 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-2 - -3 - 12) - (-158 - -163).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -76*m + 12. Let v(b) = -26*b + 4. Give 3*a(k) - 8*v(k).\nAnswer: -20*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -211 - -241. Solve c + v = 7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 6. Suppose -a - 742 = 4*a - v, 283 = -2*a + f*v. Let d = a + 233. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 35*u - 2*u**3 - u**2 + 35*u - u**4 to h*u**2 + b*u + j + w*u**3 + c*u**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 7460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 4*k**2 - 5*k + 4. Let z be r(2). What is the second derivative of 8*q**z + 22*q**2 - 22*q - q**2 - 4*q**2 wrt q?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 2 - (-5 + 3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 - 5*h**2 + 4*h - 4. Let x be q(3). Let b = 31 - x. Calculate the remainder when 40 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -3*s - 5*k, -3*s - 3*k + 2*k + 14 = 0. Suppose 4*a + 6*w = s*w + 17, 5*w = -a. What is the least common multiple of a and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3 + 147*o**2 - 285*o + 141.\nAnswer: -3*(o - 47)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*h + 26691*d - 26693*d = 88, -4*d + 4 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/3*420\/3430*(-12)\/32\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 262566304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -13*a**3 - 12*a**2 + 35*a - 6. Let m(q) = 12*q**3 + 13*q**2 - 34*q + 6. Let d(t) = -4*m(t) - 3*u(t). Solve d(v) = 0.\nAnswer: -3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 6*o - 3. Let q be i(1). Suppose 0 = 4*c + q*z, -3*z + 2*z - 19 = -5*c. Put c, 2, -2 in ascending order.\nAnswer: -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 7*h - 8. Suppose s + 3*b - 35 = -0*s, 4*s - h*b = 210. Is (-526)\/(-10) - (-20)\/s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2\/21))\/((k\/(k\/(k\/(k*k\/(k**(-3\/4)*k)))))\/k*k))\/(k**(-2))**(-2\/181) assuming k is positive.\nAnswer: k**(24823\/15204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + 16\/(-1) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0733, 3, -1, 0.1, -0.8 in increasing order.\nAnswer: -1, -0.8, -0.0733, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.17092 in -86, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -461, -534, -607, -680?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94894*g**3*o**3*p**2 + g**3*o**2*p - 283*g**2*o**3*p - 3*g**2*o + 5*g*o*p**2 wrt g?\nAnswer: -569364*o**3*p**2 + 6*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -1)*-5*-5 - (5*sqrt(396))**2.\nAnswer: -9925 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 2*s + 8, 0*h + 8 = -h + 2*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, g: 1}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 + 15*w - 6. Let f(t) = -t**3 + t**2 - 5*t. Let y(a) = 2*f(a) + q(a). Suppose -12 = -i + 6. Suppose 8 = 2*o + i. What is y(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.3 + 298.6987?\nAnswer: 283.3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 140170 less than 19.55?\nAnswer: -140150.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 2*y + 2*b, -825 = -2*b - 829 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 156*k**2 - 2866*k**2 - 662*k**2 in the form f*k + u + y*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -437247 divided by -2\nAnswer: 437247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-12) + -2 + -2 + (-5)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -20*i**2 + 4*i - 2. Let d(f) = -117*f**2 + 26*f - 13. Let z(k) = 2*d(k) - 13*x(k). Let h(s) = 21*s**2. Give h(z(a)).\nAnswer: 14196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 - d**2 + 37 - 13*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -213.8 + 277.8. What is the smallest value in -1\/5, -0.5, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6623586.\nAnswer: 2, 3, 23, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/5)\/(4\/50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 1572883?\nAnswer: 1572883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -344577 (base 9) to base 10.\nAnswer: -206782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 - 5029*h + 5204*h to the form c*h + j and give c.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3428 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u + 102 - 27*u - 30*u - 2*u**2 + 34*u.\nAnswer: -2*(u - 3)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -652 = -22*v - 168. Calculate the smallest common multiple of 670 and v.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -558 = 4*a + 5*i - 518, 0 = -5*i - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 251788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3552.9992948 + -3553. What is s rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 6:10 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 234\/12*(-54)\/3. Let j = 166 - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25985 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 1221?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 114103803 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, s: 2, h: 1}. What is prob of picking 1 h, 1 z, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 3. Let v = 22 - 19. Let j = -0.4 - 0.6. What is the nearest to j in v, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6454.\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -16.5. Let n = -4 - w. Let m = n - 1.8. What is the closest to 0 in 0, 2\/9, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2908 + 5785 + 13*a**3 - 2877 - 8*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (6 - 3 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 5*j - 6. Let b(p) = -p**2 + 3*p - 2. Let w be b(4). Let q be g(w). Suppose q*u + 5*u - 2*o = 38, u - 10 = o. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - 3*b**2 + 11*b**2)*(-2*b**2 + 2*b**2 + 2*b**2) - b**4 + 0*b + 0*b + 2*b**4 - 10*b + 10*b.\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359363 is divided by 542?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22635 and 4403262.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/((-12)\/(-4))*1. Let u(o) = -o**3 - 2*o**2 + 5*o - 3. Let c be u(-4). Let d(p) = -c + 4*p + 7 + 8. Calculate d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 67.8 + -68.1. Let d be (51\/3 - -1)\/1. Let a = 2.8 + -2.6. What is the biggest value in a, d, k, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -29744, -60060, -90376, -120692, -151008, -181324?\n\"Answer: -30316*c + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/12)\/(33\/24). What is the second biggest value in -1\/7, 0.02, 0, x?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*u - 3810 = 112*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*((-7)\/14 - -2). Solve 12 = -5*p - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2428848660 rounded to the nearest one million?\nAnswer: -2429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of j**2 + 46*j - 25. Let g be n(-24). Let z = 19 + -12. Sort z, g, -4 in increasing order.\nAnswer: -4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*d = 2633, -2641 = 3*i + 12*d - 8*d. Let u = i + 886. What is the remainder when 547 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3562587, 3562590, 3562593, 3562596, 3562599, 3562602?\nAnswer: 3562605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1405942709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 636064769514 and 2.7.\nAnswer: 636064769516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/7 + 1410*p**2\/7 - 526593*p\/7 + 20525516\/7.\nAnswer: -(p - 683)**2*(p - 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 761750614 + 500391386 = -162*s. What is s rounded to the nearest one hundred thousand?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ldnldggllllccd. Give prob of picking 3 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d - 10. Let n be z(-10). What is the tens digit of 8*((-11)\/(-2) - n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (1 + -4) - (-38 + 37) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/328*(-2888)\/3610?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 95930\nAnswer: -1\/95930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 85 + 400*i - 76 - i**3 + 186 + 414*i**2 - 400*i with respect to i.\nAnswer: -3*i**2 + 828*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -12, 6, 330 in decreasing order.\nAnswer: 330, 6, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3804*v**2 - 3800*v**2 + 1711*v**3 - 5709*v**3 wrt v?\nAnswer: -23988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72619049 and 1851?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 899847 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (-4 + 1) - (-4)\/(-2). Suppose 5*t = 4*t + u. What is the third derivative of 4*r - t*r - 28*r**2 + 15*r**2 + 23*r**5 wrt r?\nAnswer: 1380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**4 - g**4 - 2*g**5 + (-1 + 1 + g**3)*(2*g**2 + g**2 - 4*g**2) + 3*g**5 + g**5 - 5*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -15*t + 18. Let b(n) = -7*n + 17 - 4*n - 3*n. Let q = 905 + -900. Let u(c) = q*x(c) - 6*b(c). Differentiate u(v) wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3598*y + 99677 + 56039 = -433*y - 24689 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d + 3*g, -4*d - 3*g - 2 - 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.6100274mm?\nAnswer: 0.0006100274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j + 4715 - 5*j + 4819.\nAnswer: -2*j + 9534","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 + 59 = 3*z. Suppose -z*k = 4*p - 86, k - p - 16 = 4*p. Let q = -22 + k. Calculate the remainder when 11 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 130089 and 49440?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27 - 3) + -27 - (0 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 459730 divided by 2966\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 8*d**3 + 3*d**2 - 4*d. Let q(f) = -f**2 + f. Determine -b(y) - 3*q(y).\nAnswer: -8*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*2\/4*-2 - 1. Sort 40, 3\/2, z in decreasing order.\nAnswer: 40, 3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2200102022000 - 2010?\nAnswer: -2200102101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*t + 314607 = 65325. What are the prime factors of t?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 5*s - q, -4*s + 3*q + 6 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of j**4\/4 - 13*j**3\/3 - 6*j**2 + 4. What are the prime factors of g(14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -32 and -29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-4\/7)*g*g**(-1\/6)*(g*g**(-6)\/g)\/g**5 assuming g is positive.\nAnswer: g**(-451\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 60 = -2*x - 4*y, 2*x - 5*y = 51. Suppose -2939 = x*g - 29*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.35683355 to 2 decimal places.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2994, -3354, -3714, -4074, -4434, -4794?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/4)\/i*i**(-2\/5)\/i)**(-1\/40) assuming i is positive.\nAnswer: i**(53\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 13*q**2. Let v(o) = -2*o**2 + 649*o - 3. Calculate v(y(c)).\nAnswer: -338*c**4 + 8437*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 89 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 8 - 12)*(-448*p - 430 + 430)*(-p + 2*p + 0*p) to v*p**2 + a*p + u and give v.\nAnswer: 10304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w - w + 2*w)*(4 - 1 - 2) + 4*w + 2*w - 5*w + (14*w + 5*w + 0*w)*(5 + 3 - 9).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 + 5*s + 7. Let y(w) = w**2 + 3*w + 4. Suppose -2*r = 2*r - 16. Let l be (7\/(-3))\/(1\/3). Calculate l*y(x) + r*i(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 5246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4555*t**2 - 651*t**2 - 1814*t**2 + 349*t**2 - 1086*t**2 to the form b + s*t**2 + z*t and give s.\nAnswer: -7757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1094, 2108, 3254, 4598, 6206, 8144, 10478?\nAnswer: 13274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -90?  (a) 0.51  (b) -5\/6  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*i**3 + 10*i**3 + i**2 + 3*i**2 - 2*i**2 in the form u*i + h + t*i**3 + z*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4\/69 - -190\/897. Let h = -9.5 - -37. Let y = 27 - h. Which is the closest to -2\/11?  (a) y  (b) f  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 10:30 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 + 3185*j - 2279100.\nAnswer: 5*(j - 428)*(j + 1065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -158822, -317657, -476492, -635327, -794162?\nAnswer: -952997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 + 5*u. Suppose -w = 2*f - 3*w, 0 = 5*f + 4*w. Suppose 2*b - 3*d + 21 = -f*b, 4*b - 5*d + 39 = 0. Is 21 a factor of k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -735 - 735 + 5*w - 730 - 734 + 2929.\nAnswer: 5*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1975479, -1975476, -1975473, -1975470, -1975467?\n\"Answer: 3*h - 1975482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-48)\/80*(-12)\/18. Let q be ((-2)\/(-12))\/((-1)\/1). Sort q, x, -5.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5078524027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/(-1))\/((-1)\/(4\/10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/((-891)\/(-8))*20*(-84)\/(-2240)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.33225ml to litres.\nAnswer: 0.03133225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + (-1 - -4 - -1 - (-3 + (39 - 33))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) -0.5  (c) 0  (d) -1\/4  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17841563 - 315?\nAnswer: 17841248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 20, 6, -24, -76, -156?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80.9 + 13.9. Let o = b - -67.000000608. What is o rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g**2 + 4*g**2 + 3*g**2 + (-3*g - 2*g + 3*g)*(g + 0 + 0) + 4*g**2 - 4*g**2 - 3*g**2)*(3*g**2 - 3*g**2 + g**3).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 0 + 3)*(0 - o + 0) - 4*o + 3*o + 2*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 487.6 times -0.148\nAnswer: -72.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4672, 9906, 15702, 22060?\nAnswer: 28980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-280)\/1050*(-80)\/32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((-6)\/(-3) - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6043905 is divided by 251829.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(936\/6))\/((-3)\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of 4*z**2 + z**2 + 2*z**3 - 12*z**3 - 70*z + 15 + 66*z. Find the first derivative of o(q) wrt q.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -1\/6, -8\/3, 4\/199, 6, -4 in increasing order.\nAnswer: -4, -8\/3, -1\/6, 4\/199, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 9, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 2 = 5*y - 3*h, 0 = -3*h + 12. Suppose -5*l = 0, 2*l - 134 = -2*b - y*l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-36)\/126)\/((-2)\/14). Let t be 5\/(10\/53)*m. Which is smaller: 52 or t?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2\/19, 81 in increasing order.\nAnswer: -9, 2\/19, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of x**4\/4 + x**2 + 1. What is the second derivative of l(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/2 and 42\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -224 divided by -123?\nAnswer: 224\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/(-116) + 8\/32. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i\/(i\/i**(1\/3)))\/i**1*(i*i\/(i*i**4))\/i**(1\/8)*(((i**1*i)\/i)\/i*i**(-3))\/(i*i**(2\/5))**43 assuming i is positive.\nAnswer: i**(-7799\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(19) - (sqrt(171)*3)**2) + 1 + sqrt(19)*1 + 3*sqrt(38)\/sqrt(2) + (sqrt(114)\/sqrt(6) + 5)**2.\nAnswer: -1496 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -8, -1, -3 in descending order.\nAnswer: 5, 3, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -394.126002*0.5\nAnswer: -197.063001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s + 7. Let m be w(-5). Suppose f - m - 14 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - 5*q + 10. Solve q*a = -3*x + 7*a + 28, 0 = 2*x + 4*a + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/12 + q**3\/3 - 2*q**2. Let c be w(2). Suppose c = -5*f + 25. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -192*b**3 - 3*b - 107 wrt b?\nAnswer: -1152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ptttzttzp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -321 - 399*g**3 - 21*g + 398*g**3 + 23*g to p + f*g**3 + h*g**2 + z*g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*((-105)\/(-10))\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -6.228.\nAnswer: -3.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -79900 - -112177. What are the prime factors of n?\nAnswer: 3, 7, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 2*r = -40, 144*l - 2*r = 139*l + 48. What is the remainder when 92 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*b - 43, q = -2*q - 3. Suppose 4*r + b = 4*n, 11 = 4*n - 3*r - 3. Factor -6\/7*h**n + 0 - 2\/7*h**4 + 2\/7*h + 6\/7*h**3.\nAnswer: -2*h*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 7 = -43*b - 1430, -5*k - 5*b - 122 = -b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -11. Calculate the remainder when 193 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 3579653?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1204690 divided by 51.\nAnswer: 1204690\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*s - 76 = 44 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1468716500.\nAnswer: 2, 5, 59, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 226253288 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10617.\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 921 and 56.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13141*d**3 + 17907 with respect to d.\nAnswer: 39423*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(88) - -2*sqrt(88)))\/sqrt(8).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1571*h**2 + 2250 wrt h?\nAnswer: 3142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4369*m**3 - 8736*m**3 + 4365*m**3 - 276 to h*m**3 + u*m + w + i*m**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -30420 in decreasing order.\nAnswer: 3, 1, -30420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) - (sqrt(234)*-2 + sqrt(234))\/sqrt(6) - sqrt(39)*-3*-5)\/((sqrt(36) - (sqrt(252)*-1 + sqrt(252))\/sqrt(7))\/(-1*sqrt(300))).\nAnswer: 65*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 29 = 39*u + 98*u. Let z(s) be the second derivative of -s**4\/12 - s**3\/6 - 3*s**2 - s. Determine z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507.9103 less than -292?\nAnswer: -799.9103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*p = -77*p - 164 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*d + 38 - 38 + 2*d**2 - 43*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 565108102 by 109.\nAnswer: 5184478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/15 + 32*v**2\/15 + 56*v\/15.\nAnswer: 2*v*(v + 2)*(v + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**3 - 2. Let x(b) = b**3 + b**2 - 1. Suppose 0 = -5*n - s + 20, -5*n + 3*n = -s - 1. Determine n*x(p) - w(p).\nAnswer: -2*p**3 + 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n + 16 - 17*n**2 + 95 + 43 + 17*n**2 - n**3 + n**2 in the form a + c*n**2 + d*n**3 + v*n and give a.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 222378 or 222368?\nAnswer: 222378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 4*h = 3, 0 = 5*o - 2*h + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850.3621 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 4*b - 5*w, 4*b - 3 = -3*w - 8. Let g(n) = -n**3 - 2*n**2 + 2*n - 4. List the prime factors of g(b).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.6101568cm?\nAnswer: 0.000006101568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**3\/9 - 842*n**2\/9 + 130004*n\/9 - 628720\/9 = 0.\nAnswer: -542, 5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1068 and -58879.\nAnswer: -62882772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -841*m = 323*m + 36084 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -824897 divided by -17551\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -29040.492 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*d - 395 = 0, 2*h = -5*d + d + 158. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -8*z**2 + 6. Let q(w) = 7*w**2 - 5. Let o(g) = 5*d(g) + 6*q(g). Let k(i) be the second derivative of i**3\/6 - i. Determine o(k(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 28  (b) -0.3  (c) 4\/7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - (-31 - -7) - ((-104 - 2) + -1)) + -8?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7086533309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(312) - -5*sqrt(312)*-2)\/(sqrt(16)\/sqrt(2)*1))\/(-3*sqrt(6)\/sqrt(2) + (sqrt(63)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 1053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 7*l - 5. Let r(v) = -3*v**2 - 21*v - 15. Calculate -8*m(k) + 3*r(k).\nAnswer: -k**2 - 7*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -5*z + 31, -3*q - 2*q - 23 = -z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -51771\/28891 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189 - 3058 = 339*t + 10013 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m**2 - 15*m + 10. Calculate the remainder when h(8) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -280*x**3 + 3*x + 7. Let k(p) = -p - 2. Determine -2*a(r) - 6*k(r).\nAnswer: 560*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.48786 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -299*g - 5. Let q(r) = 359*r + 6. Let f(u) = 5*q(u) + 6*w(u). Let y(o) = 2*o - 2252. Determine y(f(j)).\nAnswer: 2*j - 2252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 * -994\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 4:37 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2531272 and 22232.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 25*c - 109. Is h(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*r**3 - 38*r**2 - 3925.\nAnswer: -12*r**2 - 76*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/524 and -13\/20.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9384.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -267 - -342. Calculate the greatest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c\/c**(7\/5))\/c*c)*c*c**31 assuming c is positive.\nAnswer: c**(167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 30 + 0 - (-1920408)\/(-64113)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8.13 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 153176327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 324 + 118 = 0. Suppose 3*v = u - 53. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**5\/q))**(6\/13)\/(q**(1\/6))**(-37))**(2\/31) assuming q is positive.\nAnswer: q**(373\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-8)*((-26)\/221)\/(1008\/(-408)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0162 from -23801209.\nAnswer: -23801208.9838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 0 + -1 + sqrt(200))*4 - (-6*-3*(sqrt(200) + (sqrt(200) + 0 - sqrt(200))*5))**2.\nAnswer: -64816 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 177 + 3498?\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 539.7596ml to litres.\nAnswer: 0.5397596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-17)\/(-792)*(181 - 160) and 53\/1224.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5400649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2135 and 2745?\nAnswer: 19215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9840593*k**2 - 4*k**3 + 9840593*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 18 = -x, 9*x + 78 = 12*x - 27*t for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 606084929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {w: 1, o: 5, b: 1, d: 2, p: 1, e: 6}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-69)\/(-1)*(3 - 16\/6). Suppose -w = -4*l + 5*a - 10, -2 = 2*a. What is the smallest common multiple of 738 and l?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/1)\/(2\/14). Are m and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -203 - 25*u**2 + 181 + 18*u**2 to n*u**2 + l + j*u and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -5*z**3\/3 + 23050*z**2 + 7106360*z\/3 - 4829760 = 0.\nAnswer: -104, 2, 13932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -5*x**4\/24 + x**3\/6 - 141*x**2. Let v be (-14)\/4*(-12)\/(-21). Give r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.28 and -0.005.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1396361 to the power of 1\/2, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from fmmmdhllfdfhh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i - 1. Let w be r(1). Suppose -5*n + 23 + 4 = -2*a, 4*n - 21 = a. Let m be 1*0\/((-2)\/(4\/(-6))). Sort m, w, a.\nAnswer: a, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1. Let d(n) = -4*n - 5. Let c(v) = d(v) - 4*w(v). What are the prime factors of c(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 659, 656, 651, 644?\n\"Answer: -d**2 + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/4  (b) 2  (c) -2\/5  (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6c + -2087?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 4) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 29\/31476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 7:59 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 4*x + 4, 5*d + 3*x + 19 = x. Let i(q) = -q + 7. Let u be i(5). Let c = u - d. Solve 4*j + j = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 33257, 66507, 99755, 133001, 166245?\n\"Answer: -u**2 + 33253*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 97772979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33917, -33174, -32433, -31694?\nAnswer: -30957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -6 + (-2 - -13) + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 5*b**2 + 3*b + 4. Let w be o(4). Suppose 5*u + w = 20. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2803, 2815, 2841, 2887, 2959?\nAnswer: 3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 1. Let f(z) = -3*z + 2*z + 2*z - 2*z + z**3 + 4 + z**2. Let t be f(0). Let i(b) = -3*b**2 + 4. What is t*v(h) - i(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/88 and -71\/3848?\nAnswer: 42328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(720)*3 + 2 + (4*(sqrt(720) + -3 + sqrt(720)))**2 + 5) + 0.\nAnswer: -6804*sqrt(5) + 138693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -75*o + 3376. Let r be h(45). Let n be 5*2\/5*1. Let k(g) = g - g + 11*g**2 + n*g + 0*g - 1. What is k(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -6*j + 44, -11 = -13684*j + 13684*j - m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47 and 27072?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143 and 155155.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1847702 take away 9774.501?\nAnswer: 1837927.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3\/11 - 8*h**2\/11 + 8*h\/11.\nAnswer: 2*h*(h - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 40820861 a multiple of 1013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 580408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**2 - 3*w**2 + 2*w**2 - 18*w**2 as f*w**2 + s + x*w and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-11)\/(-3))\/(20368\/2544 - 8) is divided by 153.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 517012 is divided by 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -22. Suppose -5*v + 13 = -3*x, -5*v = x + 7 + 4. Let c = x + d. Solve 4*r = -5*h - c, 4*r = -0*r + 5*h - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.295931 rounded to one decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-342)*-19)\/(3\/36*1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 20 - 11*i + 5*i - i**2 + 9*i. Let o be y(6). Sort o, 1\/5, 4 in decreasing order.\nAnswer: 4, o, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237 - 673*v**2 - 65*v + 65*v.\nAnswer: -673*v**2 + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36798, -156502, -359114, -644634, -1013062?\nAnswer: -1464398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = g - 16, -3*g + g + 23 = h. Let b(m) = m**2 - m + 22. Let o be b(0). Let v = o - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1448)\/(-10) + (-2292)\/(-1910))*(-21)\/42?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*y, 0 = -0*g + g + 2*y + 8. Let p = 1192 + -1195. Is p != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t + 48. Let x be v(-29). Let w be (3 - x\/(10\/(-21))) + 2. Which is smaller: w or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -169*k*r**2*v**3 - 411*k*r**2*v**2 + 29*k*r + 8*k*v**3 - r*v**3 + 5*v wrt r.\nAnswer: -338*k*v**3 - 822*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 589377 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-490)\/(-2058)*-35)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**2 - 4*c - 4. Let m = 907 - 903. Let q(a) = -2 + 2*a**2 + 2*a**2 - 5*a - 3. What is m*q(v) - 5*z(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*n = 15. Suppose 2*v = 3*v - 5. Solve -n = 2*o + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 5*g**3 - 10*g - 4. Let x(r) = -r**3 + r**2 + r. Let h(n) = p(n) + 6*x(n). Let a be (-4 - (-3 - 0))*2. Let b be -2*(a - (-1)\/(-2)). Calculate h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + i. Let b = 11 + -7. Suppose -5*v = b*a - 16 - 4, -2*a - 5*v = -20. Is a less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d - 4*s - 8, 5*d - 11 - 13 = -2*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (178\/(-2670))\/(10\/75).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 79045198.\nAnswer: 1\/39522599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 219.297 + -219. Let k = v + -0.3463. Let h = -28.8507 + k. What is h rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (-4)\/((-8)\/14). Suppose 0*k + r - 12 = 3*k, -2*r = -4*k - 18. Let g = k + v. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of x**6\/1620 + 7*x**5\/270 - 5*x**4\/36 - 25*x**3\/3 + 46*x**2. Let c(s) be the first derivative of o(s). Factor c(y).\nAnswer: 2*(y - 1)*(y + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147 = -2*m - 42*p - 11, m - 9*p = -5*p - 4 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 1924482184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5454489921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + 1 + sqrt(2736) + 0) - sqrt(2736))*-6*6)**2*1.\nAnswer: 62208*sqrt(19) + 14184720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/27 and -107\/1832724?\nAnswer: 5498172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 4, 0.053, 3 in descending order.\nAnswer: 10, 4, 3, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-614)\/20 - 3738\/(-5340)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/98 + (-42)\/(-49). What is the nearest to 2 in o, 0.49, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -824, -848, -888, -944?\n\"Answer: -8*n**2 - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23*i**2 + 15\/2*i**3 - 48*i - 1\/2*i**4 + 64.\nAnswer: -(i - 8)**2*(i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*n + 12. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 96645159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2690 divide 3967528870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 19, -1, 7, -24, -196 in ascending order.\nAnswer: -196, -24, -1, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 204535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 62496750 divided by -2\nAnswer: -31248375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 266947544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f. Let k(t) = -3*t + 9*t - 10*t - t. Calculate k(n(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -i - 3*z, -3*z + 6 = -5*z. Let g = 6 - i. Calculate the smallest common multiple of 6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000015042691 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 6*u - 3*u, -4*r - 4*u = -328. Suppose 5*d = 3*t + 48, 5*t + 1 - r = -5*d. What is the remainder when 34 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*r - 7985 = -144*r. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**2 + l**2 + 5*l**2)*(-133*l - 132*l + 221*l + (2 - 2 + 2)*(2 - 2 - l))*(-9 - 1 + 14 + (-3 + 1 + 3)*(4 - 4 - 1)).\nAnswer: -138*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of y**3\/2 + y**2 + 100*y + 4. Suppose -2*p - 8 = 2. Determine g(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.39 - 85.39. Let y = o + 82.8. What is the nearest to 14 in y, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 689*p + 1103*p + 3002 - 670 = -8420 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002347902 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -348001?\nAnswer: -5\/348001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 2, 1656 in increasing order.\nAnswer: -3, 0, 2, 1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 581\/(-2455) - 4\/(-20). Let s = j + 40059\/7856. What is the common denominator of 2\/8 - 125\/44 and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 7*g**2 - 21*g - 666. Let v(s) = -5*s + 7. What is -6*i(t) - 17*v(t)?\nAnswer: t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 - 2*b**2 - b - 1. Let o be z(2). Suppose -o*y = -4*y - 37. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -43, -61, -73, -79, -79, -73?\n\"Answer: 3*w**2 - 27*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 5. Suppose -2*x + 1 + 1 = 0. What is the remainder when y\/(-8)*(-16)\/4 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 2*q**2\/7 + 462068*q + 186818482046 = 0.\nAnswer: -808619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.465549 millilitres?\nAnswer: 0.001465549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 546 and 4810?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 21.91 and -146.4?\nAnswer: -3207.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2 = 20. Let k = -10 + u. Suppose -2 = 5*g + k. Sort -3, 0, g.\nAnswer: -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j + 4. Let s(w) = -w + 7. Let x(n) = -16*n + 98. Let c(d) = -56*s(d) + 4*x(d). What is t(c(q))?\nAnswer: -80*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74 + 91. Let l(q) = -1 - 5*q - 7*q - 4*q + g*q. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2650 + -9)*((-20)\/(-5) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5341, 7759, 10177, 12595?\n\"Answer: 2418*y + 2923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -l - 31, 0 = 2*k - 3*l - 1065 + 1052 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 - 2*n**2 - 4*n + 1. Suppose 0*z = z - 3. Let c be k(z). Suppose 3*y + 2*s - 1 = -8, -4*y + 4*s - 16 = 0. Put y, 4, c in decreasing order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 3\/7  (c) 1586\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 2439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14237349 is divided by 7866.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a - 187055 - 14144 = 196625. List the prime factors of a.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 + 6)*(-1 - -2) - -3. What is the closest to 0.1 in 0.2, -5, t, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 24*h = -40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32*d**3 - 16*d**4 + d**4 - 12*d**2 - 4*d**2 - 5*d**4 + 4*d**5.\nAnswer: 4*d**2*(d - 2)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44606 divided by -1.\nAnswer: 44606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 320130 (base 4) to base 15.\nAnswer: 110c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -828292 (base 10) to base 16\nAnswer: -ca384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 42 times 4\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 43432651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1503 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 o(j) = j**2 - 2*j - 4. Let i = -575 + 603. Suppose -i = 2233*q - 2237*q. What is o(q)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 517 = 82*f - 35*f. Suppose 6 = 2*q + 5*z - 73, 3*z - 123 = -3*q. What is the lowest common multiple of q and f?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*j**3 - 51*j**3 + 717 - 17*j**3.\nAnswer: -52*j**3 + 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*z**4 + 1 + (-z + 2*z**2 + z)*(-3*z**2 + 5*z**2 - z**2) + (-3*z**3 + 2*z**2 - 2*z**2)*(0 - 1 + 0)*(-2*z - 3*z + 3*z).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z + 6. Let v be i(-3). Suppose -33 = -3*y + v. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -804*h - 1331*h - 589*h - 209748 = 0 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + b = 0. Suppose 4*n = 15 - 3, -4*n + 20 = 4*d. Let q = d - -1. Solve 4*x + 8 = b, -q*r + r - 5*x = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 9:42 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of 1\/5*n**5 + 0*n**2 - 1\/6*n**4 + 0 + 0*n**3 + n. What is the third derivative of s(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 12:35 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p. Let j(y) = y**2 + 1567571*y. Determine j(d(z)).\nAnswer: 4*z**2 + 3135142*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 10*q. Let h(z) = 5*z**2 + 8*z**2 - 11*z**2. Give h(v(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48 - -2190a6?\nAnswer: 219059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7320, -0.5, 5, 0.3.\nAnswer: -0.5, 0.3, 5, 7320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 5826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 + 29*i + 2. Let p be -9*((-2604)\/(-189) - 14). Let h(a) = a**3 + 3*a**2 - 30*a - 3. Give p*h(q) + 3*l(q).\nAnswer: 2*q**3 + 27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 15*p**2 + 3*p + 6. Let l(f) = -30*f**2 - 6*f - 11. Let k(j) = 6*l(j) + 11*x(j). Find the second derivative of k(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*p, -5*x + 24 = 3*p - 8. Suppose -4*z - 96 = -2*u - 2*u, z = x*u - 96. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 259 = 4*w, 0 = j + 2*j - 15. Let o = 70 + w. Suppose -4*v + 31 = -41. What is the highest common divisor of v and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1367*d + 1427*d - 2791*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**6 - 3733*l**4 + 1327*l**3 - 23*l**2 + 5580361*l wrt l?\nAnswer: -120*l**3 - 89592*l + 7962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.04 = -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*h = -57, -h + 117 = 5*m - 5*h. Suppose 2*v - 15 = -3*v. Calculate the highest common factor of v and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6.48?  (a) 14\/31  (b) 3\/5  (c) 7  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**6\/40 - v**5\/5 - 11*v**4\/24 + 20*v**3\/3 + 39*v**2 - 2*v - 17. Give q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*v - i, 0 = -v - i + 3*i - 4. Suppose -r = 2*r - w + 3, v = -r + 5*w - 15. Let t(d) = -d**3 - d**2 - d. Let f be t(r). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 - 7*u - 3. Let f be j(-6). Let v be 1 + 1\/(-1) - f. Let t be (-4)\/4 - (v + 4). Put 2, t, 0 in increasing order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1349317507 times 5\nAnswer: 6746587535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.044 - -0.254. Let t = m - 0.349. Let d = t + 0.196. What is d rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1873546 is divided by 6123.\nAnswer: 6031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y + 1. Let k be l(1). What are the prime factors of (-3 + 6\/k)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 196233987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 128 and 87732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from rwwpppbxxwurwpbwbwx?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -10*n - 389. What is the remainder when 251 is divided by q(-41)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1565041 divided by 14\nAnswer: 1565041\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8\/65, 4\/19, 0, -4.3?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1342.906 + 0.094. Let p = g - 1430.9. Let w = p + 101. What is w rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117741 divided by 3.\nAnswer: -39247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294 = -6*h - 312 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 11*r**2 + 20*r + 4. Let o be s(-13). Calculate the greatest common factor of 3034 and o.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -3, 0.2, 1\/13 in decreasing order.\nAnswer: 1, 0.2, 1\/13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d. Let f(p) = -5*p**2 + 5*p + 5. Let m(s) = -s - 1. Let t(a) = -2*f(a) - 10*m(a). Give t(g(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -217*d + 221*d - 24, 0 = -5*d + n + 30 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*3*sqrt(126))\/(sqrt(16)\/(sqrt(32)\/sqrt(4) + sqrt(8)) + 5*sqrt(32)))**2.\nAnswer: 81648\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1\/4, -0.138, 1.\nAnswer: -0.138, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -s + 10. Let a be 2 + (-3 - s\/8). Is 0 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -107.79095985 - -3.79093625. Let n = t + 104. Round n to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.01 - -0.19. What is the second biggest value in b, -10\/11, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnqfvq. What is prob of sequence vf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2)*(0 + 1 - 3)*(-7*k**4 - 3*k**4 + 9*k**4) in the form d + s*k**4 + g*k + c*k**3 + m*k**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*c**2 + 2*c**2 - 10*c**3 + c**2 to the form q*c**2 + m + i*c + o*c**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((36\/(-8))\/(-9))\/((825\/800)\/(-33))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 0*j - 4. What is the tens digit of (4 - j)\/((-1)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3 = 0, -3*a + a - 5*h = -20265. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of i**5\/60 - 5*i**4\/24 - 7*i**3\/6 + 644*i**2 + i. Let h(l) = 2*l**2 - 4*l - 6. Determine -4*h(a) + 3*z(a).\nAnswer: -5*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/8  (b) -32\/375  (c) 2  (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*(5*g - 15 + 15)*(0 + 0 + 2 - 4 + 1 + 1 + (1 - 1 + 1)*(2 - 1 - 2) + (0 - 4 + 6)*(-2 + 3 - 2) + 4 - 1 - 1).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33271 + 4.85782765.\nAnswer: 33275.85782765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - (27 - (101 - 107)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 538055 and -0.7.\nAnswer: -376638.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -472, -1756, -3934, -7036, -11092?\n\"Answer: -5*u**3 - 417*u**2 + 2*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -109*d**2. Let v(k) = -28*k + 1. Calculate v(r(s)).\nAnswer: 3052*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 120282347 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + x. Let p(y) = 7*y**2 + 20*y. Calculate p(v) - 6*r(v).\nAnswer: v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47\/28 + -1\/14. Let m(j) = j**2 - j - 1. Let a be m(0). Is i less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1227686981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 6 = -o + 9, 3*o = -n + 7. What is the smallest common multiple of 3 and n?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71124.\nAnswer: 2, 3, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*n = -4*o + 257, 0 = n + 3. Let r be (52\/o)\/((-1)\/(-1395)). What is the highest common factor of 36 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -100021120?\nAnswer: -100021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 757 and 0.039.\nAnswer: 757.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -234775 + 13382587\/57. Let m = v + -7\/114. Let g = -4\/3 - m. Calculate the common denominator of 19\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (16 + (10 - 11) - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -3*g + 472 - 451, 0 = -p - 8*g + 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 48*(-67)\/(125424\/108)*(30\/9)\/2\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-122)\/(-18) + (-6)\/(-27). What is the derivative of 0*r**2 + j + 0*r**2 - 6 + 2*r**2 wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2 - 2. Let h be p(2). Let w = h - -16. Is 2\/w*(237 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 991 + -423. Suppose -2*y = 6*y - s. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 0 + 0)*(-2 + 0 + 1) + (2 + 10 - 5)*(4 + 3*g - 4) + (2 - 2 - 6*g)*(1 + 4 - 4).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -7*f**3 + 2268*f**2 + 28*f - 9178. What is a(324)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b + 10?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*m + 5. Suppose 1 + 1 = k - m*j, k - 3*j - 3 = 0. What is the third derivative of -6*f**6 + 4 + 6*f**2 - 4 + 4*f**k wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(208)\/sqrt(4))\/(sqrt(4) - -5*3*sqrt(4)).\nAnswer: -5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-6))*u*u)\/(u*u**(-2)*u)*(u\/((u*u**(-1\/5))\/u))\/(u**1*u)*(u**0*u)**(-40\/7)*u\/(u*u**1)*u**(-6)*u assuming u is positive.\nAnswer: u**(-158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6773 - -6774. Let l = 65 - 59. Sort l, m, -2.\nAnswer: -2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -0*f + 5*c - 453, -5*c - 249 = -f. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 851 is divided by 154.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -7.3. Let s = 0.3 + j. What is the nearest to -1 in s, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2. Let d(g) = 17*g**2 + g - 4. What is d(j) + 6*o(j)?\nAnswer: 11*j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2552 + 1090*t - 1135 - 1088*t.\nAnswer: 2*t - 3687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -106 - -100. Sort c, 1\/2, -0.07.\nAnswer: c, -0.07, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2*sqrt(252) + (sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(7) - (sqrt(1008) - (sqrt(1008) - ((sqrt(1008) - (-4 + sqrt(1008)*-4)) + sqrt(1008)))))*4 + 5)**2.\nAnswer: 397536*sqrt(7) + 27121369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 62678381 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**3 + 3*t**3 + 2*t**3 + (-3*t + t - 3*t)*(t - 2*t**2 - t).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/798 and 127\/272646?\nAnswer: 36261918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -273*u**3 + 742*u**3 + 362*u**3 + 6*u**2.\nAnswer: 831*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 525*j = 560*j + 910 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5, 44, 109, 200, 317, 460, 629?\n\"Answer: 13*p**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -370*r**4 + 928 with respect to r.\nAnswer: -1480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58552 + -24006289\/410. What is the common denominator of r and (213\/2)\/(4 - 34)?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -6*i + 3*j + 5, -2*i = 4*j - 30. Factor 3*f + 2*f**2 - i*f + 4*f - f**2.\nAnswer: f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(513)*1 + sqrt(513)*-1))\/((sqrt(27)*2 - sqrt(270)\/sqrt(10))*5) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 2*s + 20, 2 = -4*m + m + 5*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwnwwwwnwwcwwnww. What is prob of picking 1 w, 2 n, and 1 c?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 585344813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111 + 100?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 - 4 + 0*n**3 + 2*n**3)*((n - 2*n - 2*n)*(-25*n + 15*n - 11*n) - n**2 + 2*n - 2*n + (n + 3*n - 3*n)*(1 - 1 + n)).\nAnswer: 63*n**5 - 252*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 231 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1246*x + 1300*x + 242 = -2222 - 20 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**5\/2 - 4*f**4 - 495*f**3\/2 - 1535*f**2 - 3338*f - 2436 = 0.\nAnswer: -14, -3, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 2. Let y(p) = p**3 + 3*p**2 - 3. Let o be y(-3). What is the remainder when 43 is divided by g(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 9, -3, 10 in decreasing order.\nAnswer: 10, 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.97039296 rounded to 3 decimal places?\nAnswer: -21.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8 or 7223\/928?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -118248 - -78748. What is q rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.65 + 0.25. Let p be 18\/6 - (-2 + 3). Let h = -8 - -8.3. Put f, -2\/7, h, p in increasing order.\nAnswer: f, -2\/7, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 32 - 62?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-3))\/((-2)\/2619). Let f be 4\/(-26) - q\/(-13). Let x = -37 + f. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*d = 250*d - 177644. Calculate the remainder when d is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 45*l**2 - 46*l + 28. Give w(-46).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + 2*sqrt(108).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 4*n - 108 = 0. Let t = n - 23. Solve 0 = 2*p + 2*p + t*j + 4, -5*p = -2*j + 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/13, 0.4, 0.3, -0.5 in decreasing order.\nAnswer: 0.4, 0.3, -6\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 1442*a + 1447*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108, 220, 332?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 1. Let o(k) = -4*k**3 + 3*k**2 - 2*k + 5. Let a(u) = o(u) + 3*x(u). Let v(t) = t**2 + 8*t + 3. Suppose -1 = z + 7. Let w be v(z). Give a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -341074180 rounded to the nearest ten thousand?\nAnswer: -341070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 16*f**5 - 8*f**3 + 45*f**2 + 8*f. Let v(k) = 5*k**5 - 3*k**3 + 15*k**2 + 3*k. Let g(x) = 3*l(x) - 8*v(x). Find the third derivative of g(d) wrt d.\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*z + 39*z = -18. Let i = 1751\/11 - 159. Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 42500 in ascending order.\nAnswer: -1, 2, 42500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 4*g**2 + g. Let x be s(4). Let v = x - 11. Let r = v - -10. Sort r, -5, -8 in descending order.\nAnswer: r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*b - 4*b. Let f be b\/(1 + 0 + 1). Solve -3*y - 4*m - f - 5 = 0, m = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 2*g + g)*(g**2 - 1 + 1 + (0 - g + 0)*(3*g - 3*g - g))*(-62 + 59*g + 62).\nAnswer: 236*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, 3, 14, -3 in increasing order.\nAnswer: -8, -3, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -9. Suppose -4*q - 5*x = -3, 6 + u = 4*q + x. Let b be (-12)\/(-20) - (-6)\/15. What is the greatest common factor of q and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0*r - 94. Let i be r\/(-18) - 4\/18. Which is the second smallest value?  (a) i  (b) -1\/5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/8)\/(6\/(-16)). Let g be (u\/(-4))\/((-6)\/84). Suppose 2*b - 10 = b - 2*f, 4 = f. Solve -b*d - 4 - 3 = -z, -5*z = -3*d - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1919610 to the nearest 10000.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 18. Which is the second biggest value?  (a) 4  (b) 1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2701\/236 - 5\/177. Calculate the common denominator of -115\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -56. Let r = d - -19. Let j = r + 14. What is the smallest common multiple of 10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/8)*h*h*h**(-2)*h\/(h\/h**10)*h*(h\/h**(-1\/8))\/h)**(-14\/5))**(-35) assuming h is positive.\nAnswer: h**1127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 + -58.1. Put 0.1, i, -5, -4 in decreasing order.\nAnswer: 0.1, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -192, -199, -206, -213, -220, -227?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5431739 + -5431750.5998645. Let r = 11.6 + b. What is r rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4140 * -8.\nAnswer: 33120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.86 less than -1.55?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 451953 by 7929.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13136708*k**3 - 1253 + 13134222*k**3 - 839 wrt k.\nAnswer: -7458*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*t**2 + 6*t**2 - 12*t**2 - t - t**2 + t + (t + 0 + 0)*(-2*t + 3 - 3) + 0*t**2 - t**2 - t**2 + t**2 + 0*t**2 + 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1275126.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66, -135, -204, -273?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 2*x**2 - 3*x + 1. Let z be h(3). Is (-10)\/(-4)*4*z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23671379 is divided by 10190.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -5  (b) -31  (c) 1  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/298463?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -136 + 138. Which is the third smallest value?  (a) -0.3  (b) d  (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -7. Let h be (-2)\/(-10*(-1)\/n). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (211 + 807 - 249)*(u - 2*u + 0*u) + (-2 + 2 + 2*u)*(1 - 2 + 0) - 5*u - 4*u + u to x + m*u and give m.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - 6549\/69 - 21*24\/5796. Which is the third biggest value?  (a) 1\/6  (b) u  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82268 divided by -1910.\nAnswer: -41134\/955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 331, 2057, 6663, 15589, 30275, 52161, 82687?\n\"Answer: 240*m**3 + 46*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/((-60)\/(-171))*-8?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 6*n. Let x(d) be the second derivative of d**4\/12 - 4*d**3\/3 - 3*d**2 + 21*d. Let s be x(9). Let l(v) = -8*v + 8*v + s*v. Give l(u(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-30)\/4*(-12)\/18. Suppose -5*l - 46 = -2*a, s*l + 61 - 9 = 4*a. Let v(f) = -f**3 - 9*f**2 - 9*f - 4. Let w be v(l). Solve 0 = w*q - 0*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 767.312 + -1.312. Let y = -766.4 + n. Let u = -3.6 + 4. Which is the closest to 1\/4?  (a) u  (b) -2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/4 + 5\/(-20). Suppose -3*v + x*v = -6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3814 divided by 7.\nAnswer: 3814\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -121*j - 9. Suppose 0*g + 2*w + 15 = -5*g, 0 = 2*g - 4*w + 6. Let z be t(g). Is ((-3)\/6)\/((-3)\/z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = z + 4. Suppose -z*a + 21 = a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 10:50 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(975) + sqrt(975)*2 + sqrt(975) + sqrt(39))\/sqrt(3)*3.\nAnswer: 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8222339 or 8222343?\nAnswer: 8222339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (5 + -6)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c - 136 = -185 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 24295 divided by -5?\nAnswer: -4859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0*((-1)\/2)\/(-1). Suppose j*b - 2*b = 0. Let o = -1 + 1.5. What is the closest to b in 0.1, -2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 4*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + o = h + 6, 3*h = -3*o - 9. Let n(v) = -v**3 - 5*v**2 - 4*v + 1. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1696, -3390, -5090, -6796, -8508, -10226, -11950?\n\"Answer: -3*n**2 - 1685*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1125 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*n = 154*n. Let t = 2\/107 + 305\/856. Let p = 0.1 - -0.9. Which is the second smallest value?  (a) t  (b) p  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**2 - 9*h + 7. Let g be n(-5). Suppose g*l - 15 = -3*l. Solve -l*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -762 + 759. Let d(i) = i**2 + 3*i. What is d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4671171, 18684706, 42040597, 74738844, 116779447, 168162406, 228887721?\n\"Answer: 4671178*j**2 + j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2005)\/1203*30\/(-24)*-12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-2))*p)**(-39)\/((p*p\/p**(-3\/2))\/p)**(-6\/5) assuming p is positive.\nAnswer: p**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -4, 0, 22 in increasing order.\nAnswer: -4, 0, 2, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -18476*z + 1090093. Give s(59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/99, 5.6, 1 in ascending order.\nAnswer: -4\/99, 1, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5279 by -10.\nAnswer: 5279\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 4*c**2 - 13*c + 8. Let v be y(6). Solve -4*a = -2 - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(35\/20))\/((-84)\/(-126))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 924 and 249711.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyxyyyxyyyyyyyy. What is prob of picking 2 x and 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 + 5*n + 1. Let b(x) = -2*x**2 + 4*x + 1. Let q be (-1)\/(-6)*3*8. Suppose 0*m + 2*m = -10. What is m*b(f) + q*r(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 2:26 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/12)*v\/(v*v**5))\/(v*v*v**1)**(-18) assuming v is positive.\nAnswer: v**(587\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**2. Let a(i) = -113*i - 8. What is a(z(r))?\nAnswer: 226*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4730\/18 + 16\/72. Suppose -2*w = 2*s - 7*w - 125, 5*s + 4*w - a = 0. Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2\/5 - 291525226*w\/5 + 291525224\/5 = 0. Calculate w.\nAnswer: 1, 145762612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 2\/9, 207.4 in ascending order.\nAnswer: 2\/17, 2\/9, 207.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 28*1 + 2 - 1. Let l(r) = -5*r**3 - 2*r + 754. Let o be l(0). Let t = 841 - o. What is the greatest common divisor of t and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 52 = z. Let n be (9 + -1)*(-2 + z). What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4\/4 + 3*s**3\/4 + 23*s**2\/4 + 33*s\/4 + 7\/2.\nAnswer: -(s - 7)*(s + 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 13. Let d = -3 + 3. Let y = 0.2 + -0.4. What is the closest to y in -0.5, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00072370149 rounded to five decimal places?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 47 = 49. Let a be j\/(-6)*(-30)\/(-8). Let m = a + 25. Solve 2*n - 2*c = -8, -m*c = -7 - 13 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 3*o + 5 - 4*o - 5*o + 0*o**2. Let u be g(-7). Put 3, 4, u in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003579155 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 3:02 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2498 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*i**2 + i - 2*i + 422 - 5*i**2.\nAnswer: -20*i**2 - i + 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*t - 124, -4*f + 0*f = 2*t - 472. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from ceehpeqqeeeqppqi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of 5*u**4\/2 + 25*u**3\/2 + 2*u + 522. Let o(x) = -3*x**2. Give g(o(r)).\nAnswer: 270*r**4 - 225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(5\/6)*z*z**(-14)*z)**(-17) assuming z is positive.\nAnswer: z**(1037\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 674*a - 666*a. Put a, 4, -127 in descending order.\nAnswer: a, 4, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23733930 and 3245?\nAnswer: 23733930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 4744 divide 198156880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3594288907 to the power of 1\/3, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 6*b**2 - 5*b - 7. Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from jofcjjcjooojjcfocec?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**2 - 16*h**3 + 7*h**3 + 6*h**3 - 2 in the form f*h**3 + a + r*h**2 + n*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65740*g**2 - 65740*g**2 + 1127*g**3.\nAnswer: 1127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 16*x + 901. Calculate f(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 48*c**2 + 10*c + 3. Let a(h) = -3*h**3 - 144*h**2 + 28*h + 13. Calculate 4*a(s) - 11*x(s).\nAnswer: -s**3 - 48*s**2 + 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.24 + 0.16. Let v = 3 + -1. What is the smallest value in b, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 2 k, and 1 s when four letters picked without replacement from kkkkkyyyskkzyykk.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -143210331*s**2 + 273379505 wrt s.\nAnswer: -286420662*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 218 - 42. What are the prime factors of -4 + q\/12 - 4\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108 divided by -54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 6, x: 3, m: 1, k: 5}. Give prob of picking 2 c and 2 k.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 11:30 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.24 * 0.1\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82856, 165709, 248562, 331415?\nAnswer: 414268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tb when two letters picked without replacement from bxtb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1412*p**5*v - 5*p**2*v + 28*p*v - 5 wrt p?\nAnswer: 84720*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 19 + 40 = 11 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from {z: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*f - 3*n, -3*n = f - 3 - 6. Suppose 9*a - 12*a = -f. Solve 0*x + 1\/2*x**3 + 0 + 1\/2*x**a = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 10*w**2 - 12 - 2*w**3 + 7*w**2 - 15*w + w**3. Let h(f) = -f**3 + 5*f**2 + 4*f - 4. Let g be h(5). Let p be j(g). Solve -7*u = -3*u + p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 3*g - 23, -16*c - 289 - 29 = -3*g - 103 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 4*u = -u - 31, -4*w + 27 = -3*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3014.2355982 rounded to two dps?\nAnswer: 3014.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/15 of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4*n + 1. Let i be x(1). Is 25 a factor of (-958)\/(-14) - i\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -19*o**2 + 2. Suppose 5*v = -0*v - 30. Let b(s) = 2*s - 12. Let x(c) = 2. Let y(j) = v*x(j) - b(j). Determine k(y(z)).\nAnswer: -76*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 612 = -2*c + o + 621, 5*c = -2*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49123854 by 209931.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 46 - 31. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -359*l + 19306 = -601*l + 672 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 5 + 0)*(-2*q + 0*q + 3*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15181 divided by -4.\nAnswer: 15181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, 3, -2, -57334 in decreasing order.\nAnswer: 39, 3, -2, -57334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13497386*f**3 - f**2 - 47*f - 88627 wrt f.\nAnswer: 80984316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f + 16 = 3*v, -3*f + 25 = 5*v. Solve 2*h + 25 = -v*z - 3*z, h + 10 = -2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -156.1 and 28\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 1, z: 8, d: 5, m: 1, g: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-179 - (6 - 4))*-1?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.03 + -0.03. Let s(y) = y - 68. Let j be s(0). Let w = -342\/5 - j. Which is the biggest value?  (a) w  (b) -0.5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -722*m + 1797 - 10582 = 7187 - 2254 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bcccbqcccycbgccctq. What is prob of sequence gb?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*i + 15 = b, -3*i = 5*b - 7. Put b, 1, 2 in descending order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2*183\/9)\/((-4)\/(-6)). Let w = h + 61. Suppose -t = t + m - 195998, 5*t + 2*m - 489996 = w. What is t rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -44855?\nAnswer: -44851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/159 - 137\/3498. Find the common denominator of z and 4 + (2 - (-57)\/(-4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p**3 + 11*p**2 + 5*p + 3. Let v be d(5). Let o = 82 + v. Solve -o = 5*w, -2*y = 3*y + w - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158*j**3 - 10*j**3 + 734875 - 734875.\nAnswer: 148*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 57382 rounded to the nearest 100?\nAnswer: 57400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13953 times -6?\nAnswer: -83718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*q + 23 - 23)*(3*q + 162*q + 144*q + 217*q)*(q - 2 + 2) to r*q + k*q**2 + y*q**3 + u and give y.\nAnswer: 5260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 15, 7, -4, -5.\nAnswer: -5, -4, 3, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2782 - -2784. Solve -n + u - y + 3 = 0, -4*n = -3*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - j - 1. Let s(w) be the third derivative of -w**5\/12 + w**4\/8 + w**3\/6 + 83*w**2. Calculate -2*m(l) - s(l).\nAnswer: 3*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (75\/7)\/(4\/7) and -21\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/2)\/(n\/(n\/n**(-21))))\/(n\/((n\/(n**(5\/8)*n))\/n))**25 assuming n is positive.\nAnswer: n**(-353\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1253025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5875411 years in millennia?\nAnswer: 0.0005875411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*g + 378 = -52, 0 = 5*v - 4*g + 1075. What is the remainder when 82 is divided by v\/(-2)*2\/5?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -10.12. Let o = v + 1.88. Put -1\/4, o, 1\/3 in descending order.\nAnswer: o, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -678, -637, -552, -405, -178?\n\"Answer: 3*l**3 + 4*l**2 + 8*l - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 624 and 274608.\nAnswer: 3569904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 4*v**2)*(4*v**2 - 4*v**2 - 2*v**3) + 4*v**2 - 4*v**2 - v**5 + (v**4 - 3*v**4 + 4*v**4)*(-6*v + 4*v + v).\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 17 - 26 = -3*d, -5*f = 3*d - 50. Solve -10 = d*m + 59*n - 54*n, 0 = -4*m - 2*n - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from siiisqqssijssss. Give prob of picking 1 q and 1 j.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -156513*r + 156522. What is h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, -6, -1036, 0 in descending order.\nAnswer: 0, -6, -42, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1369 + 1993. Let k = 1100 - l. List the prime factors of k.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 19, 51, 117, 229, 399?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {w: 1, f: 3, b: 5, a: 3, h: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 8*z + 1. Let p be x(9). Suppose 5*q - 7*q = -p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 28413.4582.\nAnswer: -28428.4582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -51012 and -0.037?\nAnswer: 51011.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - f - 1 = -2*i, 7 = -3*i + f. Is -1*-2*(-921)\/24*i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 270704978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 - 8 = -5*f. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -119757 * 5.\nAnswer: -598785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (270\/4)\/(18\/(-24)). Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-708)\/90) + -7\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/((-8 + 4)\/4). Put -5, b, -0.4 in ascending order.\nAnswer: -5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 132 - 133.78. Let r = f - -1.77698. What is r rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 10*w - 11*w. What is the tens digit of ((-2)\/(-10)*w)\/(1\/(-365))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 192\/(-187) + 820\/902\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/(-27))\/(2*(-42)\/30).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 846119, 1692222, 2538325?\n\"Answer: 846103*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -5*y - 3*y**2 + 0 + 5\/6*y**4 + 1\/6*y**3. Determine j(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 463, 1938, 4407, 7876, 12351?\nAnswer: 17838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (52\/(-624))\/(((-156)\/32)\/13)*21\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 2*m - 3*m**2 + m**2)*(4*m**2 - 5*m + 5*m) to n + k*m + x*m**3 + q*m**2 + v*m**4 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((1 + sqrt(1539))**2 + -2 - sqrt(1539) - ((sqrt(1539) + 0)**2 + sqrt(1539) - sqrt(1539))*-6))*-1 + -3.\nAnswer: -10779 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*o + 30 = 0. What is the derivative of -7*r**4 + o + r**4 - 9 wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*(16730\/36 - 8\/36)?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 2*g + 100 = 0. Let c = -15 - g. What is the smallest common multiple of 15 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9, 534, 1067, 1584, 2079?\n\"Answer: -l**3 + l**2 + 547*l - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 9) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 20 = 4*n + 5*j, -j - 4 = 2*n. Suppose 5*v + n*v = 0. Solve -2*i - 3*i - 10 = v 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 -42837\/5, 0.8, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3405 - 2003. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*n + 21 - 21)*((-5 + 1 + 2)*(1 - 3 - 2) - 3 - 1 + 7) to the form h*n + s and give h.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**3 + t**3 - 17 - 2 - t**3.\nAnswer: -2*t**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*i**3 - 6*i**3 + i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/42)\/(1\/4). Let m = 65 - 68. Let d = m - -1.3. Which is the third biggest value?  (a) -1\/3  (b) j  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -4. Suppose n = 4*l + l + 40. Let h be 0\/(-1) + (-2 - l). What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -14*o**2 - 3*o - 3. What is t(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -6. Let l(q) = q + 10. Let z be l(-9). Let d = z - -1. Sort d, 5, s in decreasing order.\nAnswer: 5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - (-22)\/(-8))\/21. Suppose 5*g = -2*j, -4*g = -2*j + 7*j. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5, 2, -0.3, 0.4, -5, 25, 4201?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 not equal to 0.083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17261.\nAnswer: 41, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 101, 451, 1049, 1895, 2989?\n\"Answer: 124*h**2 - 22*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -739*q**2 + 739*q**2 - 5*q**4 + (-3*q**3 + q**3 + 3*q**3)*(1 - 1 - 2*q) + (-2 - 5*q + 2)*(3*q**3 - q**3 - q**3).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 183125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 45\/8 of a kilometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, c: 8, j: 4}. What is prob of sequence wwjw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 0. Let a be j + (0 - 86002\/2). Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -d - 12, 16 = j - 3*j - 5*d. Find q such that 10*q**2 - 4*q**2 + 1 - j*q + q**2 - 6*q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 76 - 46. Suppose -6*c - 5*l + 44 = -2*c, 3*c + 3*l = o. Solve 2*g - 4*g = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -2. Let g = -45 - -51. Suppose g = -v + t, 0 = -4*a - v + 144. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeyeeyyyeeyyeyeyye. Give prob of sequence yyyy.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57504101?\nAnswer: 31, 1854971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4308.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (763\/126 - 6)\/(1\/20). What is the closest to -0.1 in -4, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/15)\/(3\/15). Suppose -p*t - 33 = -237. What is the remainder when 201 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g + 4*g + 5*g)*(-1 + 1 - 12) + 20 - 20 - 3*g - 2*g + 0*g + 0*g to the form k + j*g and give j.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 406, 3598, 12314, 29332, 57430, 99386?\nAnswer: 157978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d = -16*d + 1330. Suppose -3*a + 271 = r, 3*a + 4*r = 2*r + d. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-75 + 50 - -77) + (-1 - 14)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1908476 and 15364.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 2)*(-1)\/2*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16078645061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c - -564b9?\nAnswer: 564c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 + 2)*(34*m - 3*m + 13*m)*(-m**2 + 4*m - 4*m).\nAnswer: -264*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4 + -1.75?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(24\/(-8)))\/((-1008)\/(-672))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1860098, 1860139, 1860196, 1860275, 1860382, 1860523?\nAnswer: 1860704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3, -36, -67, -96, -123, -148?\n\"Answer: a**2 - 36*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*m**2 - 250*m**2 - 627 - 50 - 139*m**2.\nAnswer: -555*m**2 - 677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -423311444.26 from 0.4.\nAnswer: 423311444.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 440894?\nAnswer: 2, 220447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 16*y**2 + 15*y + 6. Calculate the remainder when 11 is divided by b(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1071*j**3*y**3 - 593*j**3*y + 1583*j**2*y**3 - 1221*j*y**2 + y**3 wrt y.\nAnswer: 6426*j**3 + 9498*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of 5*f**7\/42 + 4*f**6\/3 + 13*f**5\/4 - 25*f**4\/2 - 60*f**3 + 668*f. Factor v(i).\nAnswer: 5*i*(i - 2)*(i + 3)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19443 is divided by 9716?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 1\/6  (b) -3  (c) 5.3  (d) 3  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 194227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 3581748.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*f**5 + 66*f**4 + 20*f**3 - f**2 + 53*f - 42 wrt f?\nAnswer: 180*f**2 + 1584*f + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112 and 166544.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 120 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -43508 <= -130520\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -466247*c - 24. Let w be f(8). Round w to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1595059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -2, -0.245, 0.22 in increasing order.\nAnswer: -2, -0.245, 0.22, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**5\/4 + x**4\/4 - x**3\/2 - x**2\/2 + x\/4 + 1\/4.\nAnswer: (x - 1)**2*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 5*d + 1. Let z be j(4). Let u = 32 - 46. What is the common denominator of 41\/4 and z*1 + u\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6538468461?\nAnswer: 3, 7, 19, 862481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3199799, -3199798, -3199797, -3199796, -3199795?\nAnswer: -3199794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49 + 104. What is the lowest common multiple of 12 and r\/3 + 3\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 3)*((-2*b - 2*b + 3*b)*(0 - 4 + 3) - 5*b + 9 - 9) to y*b + j and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of 3*v - 1\/480*v**5 - 1\/1440*v**6 + 0*v**2 + 0*v**4 + 0 - 1\/2*v**3. Let g(s) be the second derivative of z(s). Factor g(r).\nAnswer: -r*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/18)\/(1\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1800488 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 10 = -3*j. Suppose 3 = k - 0*k. Let s(n) = n**2 + 4*n - 4. Let i be s(-5). Put k, i, j in descending order.\nAnswer: k, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 129\/2495500 and 67\/976500.\nAnswer: 22459500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010000111101 (base 2) to base 4.\nAnswer: 10100331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) -0.86  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/37 - (-7831068)\/(-82362)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -296 (base 11) in base 4?\nAnswer: -11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/5 and 55\/211096.\nAnswer: 1055480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -517 + 1062. Let i = 563 - p. Calculate the remainder when 75 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25295327 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1422 and -0.181?\nAnswer: 0.0257382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + 0)*12\/(-9). Let m(j) = -2*j + q*j - j + 0*j. Let c(n) = n - n - 2*n. What is c(m(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-13\/4)\/r)\/r*r)\/(r**(-4\/23)\/r)*(r\/r**6*r)**(-9) assuming r is positive.\nAnswer: r**(3029\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 6. Let p be 2 + h + 0 - -2. Suppose 5*k - y - 74 = 0, p*k - 12 - 10 = -5*y. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1410 + -632305?\nAnswer: -630675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311822.\nAnswer: 2, 7, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -18, -32, -46?\n\"Answer: -14*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8988*w**4 + 2*w**2 + 39*w + 68?\nAnswer: 215712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.1102832 smaller than 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ymsjyyjjjmmjyjmjw. Give prob of sequence jjj.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = -a + 3*k - 12, 0 = -4*a - 4*k - 32. Let t(w) = -w - 14. What is t(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -2.9. Let t(s) = 4*s**2 - 7*s - 11. Let j be t(-2). Let h be 2*(j\/(-57))\/(2\/3). What is the nearest to h in 1\/5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.249 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -11110 (base 2) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*0.6943.\nAnswer: -0.6943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -85510, -171082, -256638, -342166, -427654, -513090, -598462, -683758?\n\"Answer: 2*p**3 - 4*p**2 - 85574*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 107 = 1. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 0*c - 19. Let r = c + -14. Suppose r*x - 290 = 2*d, 4*x - 2*d - 42 = 192. Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-10)*(-940)\/(-282). Solve 2*b - 6 = -4*t + 4, -2*b + a = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t**2 + 4. Let l(s) be the first derivative of s**3 + 2*s - 577. Let j be 0 + -1*(6 - -1). Calculate j*l(p) + 4*q(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15465, -30918, -46371, -61824, -77277, -92730?\n\"Answer: -15453*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (1771\/(-429))\/23*(-4)\/(-14)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 66 = 3*f, 3*j + 1361 = -f + 1284 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (22\/(-33))\/((-2)\/24). Let d be 3\/15 + (-39)\/(-5). Solve -k - 2*x + 9 = 0, -d - f = -4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009052005 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -742865*j**3 + j**2 - 19012*j - 3 wrt j.\nAnswer: -4457190*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 252*g**3 + g + 146.\nAnswer: 756*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 + -22. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 608 divided by -152?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 14, y: 5}. Give prob of sequence yyiy.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11\/(770\/176640) - 6\/14. Suppose -4*v + y = 5*f, f + 8*v - 499 = 10*v. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 787725 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5\/3, -6, -5, -6\/7 in descending order.\nAnswer: 5\/3, -6\/7, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x + 7. Let c be r(-5). Let k(i) = 7*i**2 - 2*i + 2. Let y be k(c). What is the highest common divisor of 65 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002527 to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(847) - (2 + (sqrt(847) + -1 - sqrt(847))))*6)**2 + (-3*sqrt(1008) + -2 - (sqrt(1008) + -4*sqrt(1008) + sqrt(1008) + -2))**2.\nAnswer: -792*sqrt(7) + 31541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/11  (b) 157.8  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4304470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3. Let b(h) = -h**3. Suppose 0 = 5*v + 5*l + 55, v + 0*v + 16 = -2*l. Determine v*a(w) - 7*b(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of r**4*v - 2*r**2*v + 52616*r + 253186*v wrt r.\nAnswer: 4*r**3*v - 4*r*v + 52616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -761, -610, -457, -302, -145, 14, 175?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25487023, -50974047, -76461071, -101948095?\nAnswer: -127435119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 112\/4 - 11025\/450 - 402\/116.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**2\/5 + 372*p\/5 + 152 = 0. What is p?\nAnswer: -2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -649*g = -642*g. Suppose w + 2*a = 0, -4*w = -3*w - 4*a. Suppose -20 = -w*o - 5*o. Solve -3*x + g*t = 4*t - 10, 5*t - 12 = -o*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**4\/4 - l**3 + l**2\/2 - l + 1. Suppose 2*w - 3*w = 1. Let n be (2 + w\/1)*-2. What is a(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, -7, -78, -189, -346, -555, -822?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6095 and 2760.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u**2 + 8*u + 0*u**2 + 5 - 9 + u**3 - 2*u. Let l be g(-3). Suppose -b = -4, -l*h + 92 = -h - b. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2521 + -1380. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/6391 and 31\/1103102.\nAnswer: 91557466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7 - -2)*(-5 + 3172\/636). Let f = 435\/371 - l. Factor -f*c - 5\/7*c**3 + 2\/7 + 12\/7*c**2.\nAnswer: -(c - 1)**2*(5*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 7*b + 8. Let j be x(7). Suppose 0 = s + 3*s + j. Calculate the remainder when 124\/8 - s - 1\/2 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 374237802 to the nearest integer?\nAnswer: 19345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*v**2 - 14 - 40*v**2 + 17*v**2.\nAnswer: -4*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uomquum. Give prob of sequence um.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/4 + 57\/12. Suppose -2*r = -2, 4*y - r = -o - 4. Let x(w) = w**3 + 4*w**2 + 4*w + 2. What are the prime factors of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 7:27 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1124320031 (base 5) to base 10.\nAnswer: -2573141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*x - 4*w + 2*w, -3*x + 2*w + 14 = 0. Suppose 45 = -3*y + 3*l, -l + x*l + 25 = -5*y. Is y greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 - -128. Calculate the remainder when q is divided by ((-4572)\/635)\/(9\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3675.775 to the nearest 10.\nAnswer: -3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -18. Let a = 21 - 15. Let w = a - g. Sort -2\/3, 0.14, w.\nAnswer: w, -2\/3, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-396)*-64 + (-18)\/33)\/((-51)\/(-68)).\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 - 34. Let l(z) = x - 15*z + z**2 + 16*z + 0*z**2. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*986 + 23 + -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-95)\/285 + 37244\/6 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -1 + 11 - 6 + 9*b. Calculate x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((16\/56)\/(-2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5999635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5)\/(q*q**(-2\/7)))\/(q**(1\/8)\/(q\/q**(-4\/9)))*(((q**(-1)\/q)\/q)\/q)**27\/(q*q*q*q**0)**(-32\/5) assuming q is positive.\nAnswer: q**(-234851\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89149*q - 89145*q + 12 = 2*r, -15 = 5*r + 5*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3108)\/(-296)*(-8)\/70.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 256 and 7856.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 482*d**2 - 18*d**3 + 56*d**3 + 2*d - 483*d**2 + 15 + 0*d**3 in the form k*d**2 + i*d + r + n*d**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4 + 1820568*r**3 + 552411307104*r**2 + 55872352697317504*r.\nAnswer: 2*r*(r + 303428)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**6*n)\/n)**9*n\/(n**(-9\/2)*n)*n*((((n*n**(-3)*n*n*n*n)\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 (base 10) in base 8?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j - 8. Suppose -171*q - 5 = -176*q. Let u(m) = 1. Determine q*k(p) + 4*u(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/73730009 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/3, 66\/7, -1\/45, 0.5?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -110.788124*-0.5.\nAnswer: 55.394062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12668 is divided by 4216.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/2)\/o*o)**(-1\/62))**(-35)\/((o\/o**7*o*o**4*o)\/((o*o**(1\/4)*o*o)\/(o**(-1\/7)\/o))) assuming o is positive.\nAnswer: o**(2029\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**4\/4 + 2723*l**3\/2 - 360457*l**2\/4 + 86031*l + 177507 = 0.\nAnswer: -1, 2, 66, 5379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 9*b**2 - b - 1. Let u be y(-1). Let t(n) = -n**3 + 9*n**2 + n - 4. Calculate the remainder when 17 is divided by t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 1 + 4 + 3 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 37*l**3 + l**2. Determine x(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -14*t**2 + 14*t - 4. Let d(c) = 9*c**2 - 9*c + 3. Let k = -245 - -250. Give k*l(i) + 8*d(i).\nAnswer: 2*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -30*y - 26. Let g be x(-1). Which is the fourth biggest value?  (a) 3\/4  (b) 0  (c) 0.32  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of 3*v**3\/7 + 93*v**2\/14 + 30*v\/7 + 803. Solve j(n) = 0 for n.\nAnswer: -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 3:22 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -67*s**2 - 24049*s + 1439. Determine t(-359).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 431 * -2.11.\nAnswer: -909.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.07  (b) -3181  (c) -4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 8*f - 23*f - 2*f + f + 16*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 324*k**2 + 9*k + 6. Let w(t) = 973*t**2 + 25*t + 14. What is 11*d(v) - 4*w(v)?\nAnswer: -328*v**2 - v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*v + 0 + 0 - 3 - 2*v + 3 + (v - 2 + 2)*(0 + 1 + 0) - v - v + v - 254*v - 1131*v - 21*v to the form t*v + k and give t.\nAnswer: -1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -a5?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, 54, 66, 58, 24, -42, -146?\n\"Answer: -w**3 - w**2 + 36*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 0.74. Let g = -0.26000035 + x. Round g to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 3135?\nAnswer: -1\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-6))\/(1\/15). Let y(d) = -d - 3. Let c be y(-6). Let h = 2 - c. Sort 1, b, h in descending order.\nAnswer: b, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 4. Let r = -1.0008 + b. What is r rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 - 8*h - 5. Let n be i(-5). Suppose u - n = -2. Suppose 0 = -3*f + 2*l + u, -2*l - 2 = -4*f + 8. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3292307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -44015 divided by -8803\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 - 0.1. Let p = 719 - 666.1. Let r = p + -53. What is the nearest to r in 5, g, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**1*g)**(-39))**(16\/7) assuming g is positive.\nAnswer: g**(-1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/231 and 53\/273?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 414*k**2 + 61*k + 224. What is the hundreds digit of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 5*s + 8, -4*s + 62 = -2*t + 72 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10300500 divided by -147150?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 - 0.3. Let g = 0.1 + w. Let u = g - 0. Are -2 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 12 + (25 - (6 + 2 + 1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-5)\/h)**(-3\/2))**(-4\/35))**(-2\/21) assuming h is positive.\nAnswer: h**(24\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u**2 - 150232*u - 1502011. Give b(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/102 and 5\/95088.\nAnswer: 1616496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 4:39 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1830912\/214560)\/((-2)\/(-15)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 + 18*h + 2. Calculate q(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3351467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2466205030 to the nearest integer?\nAnswer: 49661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (84\/(-14))\/(15\/35).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122011 - 10?\nAnswer: 122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2, -1\/172, -4\/3, -0.3?\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 134, 272, 410, 548, 686, 824?\n\"Answer: 138*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 61 - 55. Let j(c) be the first derivative of -1\/6*c**k + 0*c**4 + 0*c**2 + 0*c + 0*c**5 + 0*c**3 - 2. What is b in j(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Suppose -3*p + 5 = q*p. Is -2\/13 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 420 - 4. Suppose -4*s - 2*f = -0*f - 814, 2*s - 2*f = y. What are the prime factors of s?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = a + 2, -3*s + s - 3*a + 19 = 0. Suppose -h + 2 = -2*q + 47, -93 = -s*q - 4*h. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2791917691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.7971552 and 35.\nAnswer: 38.7971552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6700586049.00000174 + 6700585879. Let d = -170 - k. What is d rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 2*o + 5. Let j(m) = 3*m - 4. Determine 4*h(w) + 5*j(w).\nAnswer: -4*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**1\/(t\/(((t\/(t**(-4\/3)*t))\/t)\/t))*(t**(-1\/2)*t)**(-2\/7) assuming t is positive.\nAnswer: t**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 163968 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 269552 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/9)\/((-3)\/(-63)). Suppose -12*u + a*u + 15 = 0. Suppose -u*k + 2*c = -56, -5*k - c + 82 = -k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-345)\/460)\/((-3)\/36). What is the highest common factor of k and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - 38) + -4 + 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 2. Let y = -359 - -356. Let v(l) = -12*l**3 - 2*l**2 + 2*l + 6. Let x(j) = -7*j**3 - j**2 + j + 3. Let p(d) = y*v(d) + 5*x(d). What is p(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322565909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 5*q + 15, 0 = -3*h - 2*h + 4*q + 12. Let d(v) = v**2 + 2*v + 5. Let f be d(h). Suppose -8*i = -f*i - 12. Solve -k + i*k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -85925 divided by -2\nAnswer: 85925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**2 - 54*o\/5 - 24\/5 = 0.\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3087 - -3145. What is the greatest common factor of 3335 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 491, -2, 4, -10185, 27 in ascending order.\nAnswer: -10185, -2, 4, 27, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 + 91. Let v = -268 - -267.988. Which is the second smallest value?  (a) 0.1  (b) v  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 15 = -q, -4*q - 15 + 3 = 0. Let z be g\/(4\/((-8)\/(-3))). Sort z, 0, -5 in descending order.\nAnswer: 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*g**3 + 0*g**3 - 117*g**3 - 51*g**3.\nAnswer: -342*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*s = -34 - 470. Solve -s = 2*y - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13585002?\nAnswer: 2, 3, 263, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of 2*q**6 + 2*q**3\/3 - 13. Find the third derivative of r(x) wrt x.\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115608.\nAnswer: 2, 3, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (26\/(-10))\/((-1)\/5). Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71768.0837 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**3\/3 + 4*v**2 + v - 5. Calculate the remainder when a(5) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 13*u**2 - 3*u + 7. Let k be w(-14). Suppose -5*n = -2*h - k, -5*n + h = -244 - 6. Suppose 0 = -48*i + n*i - 1437. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) -11.4  (c) 5.2  (d) -2\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k = 51*k + 52*k - 462 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1833b (base 15) to base 13.\nAnswer: 29885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12180*j**2*m**3 - 2*j*m**2 - 109*j + 2*m**3 + m wrt j.\nAnswer: -24360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73084171?\nAnswer: 73084171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -15, -3, 3, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o - 2*o - 4*o + 7*o**2 + 1 + 4*o. Does 4 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/116470 and -25\/2492458?\nAnswer: 12462290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.1 + -0.9. Which is the closest to 1\/2?  (a) p  (b) 5  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413137245 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -46\/9  (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 35980\/(-7200) - (-3 - (2 + 0)). Let n(v) be the third derivative of 0*v + 1\/9*v**4 - 14*v**2 + 0 + c*v**6 - 2\/9*v**3 - 1\/36*v**5. Solve n(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -105*r**2 - 28680*r - 46124238 wrt r?\nAnswer: -210*r - 28680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 5*s**2 - 2*s. Let f be v(-5). Let z = -8 + f. Let -40*m - 14*m**5 + 36*m - 54*m**3 + 12*m**4 + 34*m**4 + 26*m**z = 0. Calculate m.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + -9. Let w be (-5)\/(-2) - (4 + (-245)\/(-20)*-2). Solve -w + c = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from suudubdsu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/57 and 23\/(-24) - 2\/(-4)*14.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 - -60. Suppose -5*c - 9494 = -x*d, 0*c + 3790 = -2*c + 5*d. What is c rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11685 and 1148?\nAnswer: 327180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 354 and 1065540?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1.2. What is the nearest to l in -0.4, 4\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4\/5 - 1112*n**3\/5 + 172316*n**2\/5 - 4933944*n\/5 + 39373938\/5 = 0 for n.\nAnswer: 17, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that c**3 - 38355*c**2 - 51209613*c - 16806676257 = 0.\nAnswer: -651, 39657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*k - 123, -4*f + 3*f = -2*k + 117. Suppose z - 5*z + k = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -942  (b) 3\/4  (c) 5  (d) -120  (e) 117  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wfu when three letters picked without replacement from fxuxovw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 - (13 + -14 - -23 - 50)) + -1 + 77?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*f + 5*f + 6*f + 2)*(-3*f + 4*f + 0*f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7459, 56138, 188203, 445348, 869267, 1501654, 2384203, 3558608?\n\"Answer: 6949*n**3 - n**2 + 39*n + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2407*g + 274400. Calculate h(114).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-696)\/(-261)*(-1)\/(-2)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -10 - 2*y**2 - y - 3*y - y + 3*y**2. Let z be k(7). Let f = 0.2 - 0.3. What is the closest to f in -1, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.99669 litres to millilitres.\nAnswer: 15996.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36.0204 + -0.0796. Let k = x - -36.09626. Round k to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -22277 and -2382.\nAnswer: -24659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 11:19 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9037.\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -525 by 6.\nAnswer: -175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.14 + 0.66. Let w = f + -34. Let g = w + -0.8. Which is the second smallest value?  (a) -6  (b) -1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6904 - -2678757\/388. Find the common denominator of z and -133\/18.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*a**2 + 22*a + 5*a**3 - 2*a**3 - 51 - a**3 - 24 + 73 as l*a**2 + y*a**3 + z + m*a and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -653 = 10*o - 473 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25839713 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1049172595.\nAnswer: 5, 17, 726071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-464*v**2 + 17439*v - 17439*v)*(-3*v**2 + v**2 - 5*v**2).\nAnswer: 3248*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48 - -60. Suppose 29*z - 25*z = b. Let a be (-15 + 2\/(-2))\/(-2). Solve a = z*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c**2 + 2*c**2 + 14*c**2 - 20*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 77256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mxk when three letters picked without replacement from kzxckzxkxxxccxzmxc?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 4. Let c = i + 10. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 PM and 4:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -10. Suppose 5*i - 13 = -p, -p + 4 = -2*i + 4*i. Let w(h) = -5*h**2 + 6*h + 6*h**2 + 1 + i*h**2 - 4*h. Determine w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + t - 3*t)*(8307*t - 3*t**2 - 4178*t - 4230*t - 1).\nAnswer: -3*t**3 - 101*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58.57185 - 20.42762. Let n = -79 - i. Round n to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 4:24 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o = 21*o - 204. Solve 2*j + 12 = -d + 3, -5*d = -4*j + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 633351*h**6 + h**4 - 33156021*h**2 wrt h?\nAnswer: 76002120*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -98 + 147. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 31. Is 15 a factor of 59 + 1 + 1 - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -154924609 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -577690923 or -577690924?\nAnswer: -577690924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 4*x**2 - 2*x + 5. Let w(y) = -y**3 + 12*y**2 + 24*y - 12. Let a be w(14). Let n = a - -72. Give r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*c + 11 - 11)*(4 - 4 + 2)*(-5 + 1 + 2).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 905104.9 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3595071.4 to the nearest 10000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5112 * 5020\nAnswer: 25662240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -639742 + 522029549\/816. What is the common denominator of -145\/6 and c?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -13, -5, -1 in increasing order.\nAnswer: -13, -9, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*n = 12, 12 = -k + n + 4. Let s(t) = -t - t**3 - 4*t**3 - 4*t**2 + 2*t**3 + 4. Does 14 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**3 + 2*b**2 - b + 1. Let l be r(2). Sort -4, 1, l in ascending order.\nAnswer: l, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**4 - 5*y**3 - y**2 + 2*y - 1. Let q(k) = -k**5 - 37*k**4 - 38*k**3 - 38*k**2 - 12*k + 6. Let h(u) = 6*b(u) + q(u). Suppose h(a) = 0. Calculate a.\nAnswer: -22, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -106 - -32. Let f = 170 + w. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(90) + -2*sqrt(90)))\/sqrt(2))\/(-3*-4*sqrt(1296))*4.\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 347 + -346.9886. Let y = 0.1386 + q. Which is smaller: y or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 5*q**2 - 15*q - 3. Let p be g(-7). Solve 0 = -3*j - 4*t - 15, t = 5*j - p*t - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -70, 0.6, 1, -11.\nAnswer: -70, -11, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-404)\/(-2)*(-7)\/(-2). Suppose 4*s + 1420 = -4*t, -2*t + 4*t = -3*s - n. Let u = t - -777. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 135402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-4) - 7\/2. List the prime factors of (0 - -2)*(1 - n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303*q + 52625 - 3277 = 1252*q for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-30)\/9)*(-20)\/(-135).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/22 and 83\/4388.\nAnswer: 48268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r - 4. Let c(j) = -4 + 7 + 5 + 3*j - 17. Suppose 3*m - 11 = 1. Determine m*c(t) - 9*p(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 11.8  (b) -2\/3  (c) -0.2  (d) 0  (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 122 - 17. Let n = y - 108. Which is the nearest to 1\/3?  (a) 2\/5  (b) n  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2*t - 18 = 12, 4*b + 3*t = 56. Suppose 35*i - 10 = 37*i, -l + 2*i + 23 = 0. Calculate the smallest common multiple of b and l.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4*(35\/(-4))\/5. Let y(o) = -g*o + 2*o + 2*o - o. Let l(q) = -5*q. Give y(l(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -4*p + 18, -3*h - 12 - 2 = -4*p. Let v be 2\/(-8)*(3 - 2). What is the second smallest value in -3, v, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 137538\/23 - 5979. Let b = d + -475\/92. Calculate the common denominator of b and 51\/6*3\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1379239 + 2219243 - 417468 = 158*q. List the prime factors of q.\nAnswer: 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from epecccpccppcce. Give prob of picking 3 p and 1 e.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20*5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2905973 (base 11) in base 4?\nAnswer: 103010303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 < 21985\/3416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000092573 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 6, -2, -3\/8, -1, 1 in decreasing order.\nAnswer: 6, 1, -3\/8, -3\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus 2476409?\nAnswer: 2476408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2731 - 4115. Let b be (678\/99)\/((-11)\/(-2223)). Let g = b + a. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51 divided by -4\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**37)**19 assuming o is positive.\nAnswer: o**703","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 6*t**2 - 2*t + 5. Suppose 3*k - 15 = 2*q + 3, 0 = -5*k + 5*q + 30. Let u be b(k). Let g = u - -16. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291639413?\nAnswer: 13, 31, 55667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + (-3)\/(-3) - 5. Let z be 1 - (1 + 4\/6). What is the second smallest value in y, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of r**3\/3 + 2816*r + 1. Let l(t) be the second derivative of 113*t**4\/12 + 2*t. Determine f(l(w)).\nAnswer: 226*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8390783 + 3470783. What is r rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*u + 485 = -15*u - 1243 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ibt when three letters picked without replacement from {j: 1, h: 1, z: 1, i: 1, b: 2, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from zotzottoozozz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -210 less than -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1098020901 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(60\/(-38)) - 3*-1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - (12 + 6 + -31 + 14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4380 = 6*z + 18*z + 5196 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -701610 + 4?\nAnswer: -701606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21203692*f**2*o**3 - 346*f**2*o**2 + 5*f**2*o - 30*f**2 - o**4 + 3 wrt o.\nAnswer: 127222152*f**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63345.\nAnswer: 3, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5*(sqrt(475) + 4)**2 + sqrt(209)\/(sqrt(891) + (sqrt(891) - (sqrt(891) + (-3*sqrt(891) - sqrt(891)) + sqrt(891) + sqrt(891)) - sqrt(891)))).\nAnswer: 3601*sqrt(19)\/18 + 2455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 43075271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.91 - -8. Let y = m - -0.31. Which is the third biggest value?  (a) y  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/6 and 91\/2178.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w + w + 4 - 6*w**2 + 3*w. Let a(z) = -12*z**2 + 4*z + 7. Suppose 0 = 53*q + 21*q + q - 225. Determine q*a(u) - 5*s(u).\nAnswer: -6*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 49\/2 in 2, -1\/3, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.97*-0.0035.\nAnswer: -0.010395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4192 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: In base 14, what is -913 - 4?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-7))\/(234\/2457)*-1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 14*w - 106. Let l be v(8). Find the first derivative of -l + 14 + 10 + 1 + 110*q**3 wrt q.\nAnswer: 330*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*j**2*o + 2*j*o - 6429*j + 5737*o wrt j.\nAnswer: 8*j*o + 2*o - 6429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7634312 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 18*t**3 + 39*t**2 - 87*t. What is the derivative of g(u) wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -1546256 in increasing order.\nAnswer: -1546256, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1796)\/6*(-3)\/2 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*35*3\/63*-1 + (-70)\/(-4)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - k**2 - 68*k - 34. Calculate a(10).\nAnswer: -1814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.7 + 7. Let b = -210 + 207. Sort f, -2, b.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 40 = -13*a + 83. Solve -3*h = i - a, 4*h - 4*i = -h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**2 - 1 + 2 - 3)*(2*n - 2*n - 6*n**2).\nAnswer: 24*n**4 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(-1)\/4*-14. Let w(x) = x + 11. What is the remainder when 11 is divided by w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 3242?\nAnswer: 19452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 a when three letters picked without replacement from {t: 7, g: 6, a: 4}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 11\/3  (b) 0.3  (c) 208.6  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8613 + 15948. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 88 = -8. Suppose 5*l + 4*h = 4, 2*h = -5*l + 2 - 0. Suppose j - 5 = l, -2*r + 2*j + 2 = r. Calculate the greatest common factor of r and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180429 and 119464?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18.17238545 - -15.74552092. Let t = k - 15.91790563. Let q = 18 - t. What is q rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 307 by -139983.\nAnswer: -307\/139983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4931685*w**3 + 3772*w**2 + 2*w - 92 wrt w.\nAnswer: -29590110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.33 in 0.3, 11, 5, 118\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x + 2*x - 6*x)*(-3 + 2 + 0) + (0 + 3 - 5)*(0*x - 8*x + 4*x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 391270 divided by 55.\nAnswer: 7114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6946?\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -447980 by 628.\nAnswer: -111995\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**2 + 16*o - 1929. Give s(23).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1523 is divided by 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 1 = -0*t + 4*h, -4*t = 3*h. Let v be (-44)\/14 - t\/(-21). Calculate the common denominator of -97\/4 and v\/2*12*54\/48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 3*t**2 + 7*t**2 + 0*t**2 - t**2 to the form n + u*t**2 + b*t and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -s - 324807, 271*s - 267*s + 28 = 0. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -125, 5, 2\/7, 4\/3 in decreasing order.\nAnswer: 5, 4\/3, 2\/7, -0.3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - -3. Let g(y) = 5*y - 5. Let l be g(1). Solve l = -v*a + 15 - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3975583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by ((-20)\/(-15))\/(2*(-9)\/(-432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**3 + 5*s**2 + 4*s + 7. Let l(x) = 2*x**3 + 6*x**2 + 5*x + 8. Give 6*g(z) - 5*l(z).\nAnswer: 2*z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3248*t + 72. Let j(b) = -b. Give j(x(z)).\nAnswer: 3248*z - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30177 and -4?\nAnswer: 120708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 4*g - 8*g. Suppose -6*h = -12*h - g. What is the remainder when 96 is divided by 3 - 2 - -21 - (-5 - h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 5*a**2 + 1. Let p(w) = -4*w**2 - 1. Give 3*p(b) + 2*u(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222046819 and 1.\nAnswer: 222046819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353386655?\nAnswer: 5, 47, 563, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.055ng in grams?\nAnswer: 0.000000018055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 10*v**2 - 7*v - 44. Let y be w(-12). Suppose 0 = -3*l - n + y, 2*l + 104 = 3*l + 3*n. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**2. Let r be w(2). Let u be 2 - 1\/(-2)*r. Put u, -5, 1 in ascending order.\nAnswer: -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10807013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, a: 5, b: 1, c: 1, w: 5}. What is prob of picking 1 a and 2 w?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*-1 + (1*sqrt(34) - sqrt(34))\/sqrt(2) + sqrt(17) + 3 - (0 + -1*sqrt(833) + sqrt(833) - (sqrt(833) + 2 + 1)))**2*-1.\nAnswer: -53 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5*f + 16 = 0, -76*b - 3*f = -72*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i = 36*i + 135 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -181*c**2 - 4*c + 1. Let w(l) = 180*l**2 + 5*l - 1. Let j(u) = -4*r(u) - 3*w(u). Is j(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**4 - f**4 - 2*f**5)*(-1 + 2 + 0).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s**2 - 11*s - 22. Let j(d) = -d**2 + 2*d + 4. Let y(l) = -11*j(l) - 2*x(l). Let u(k) = 2*k**2 - 25*k. Give u(y(m)).\nAnswer: 2*m**4 + 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 10*h**2 + 25*h - 17. Determine v(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1692 divided by 4\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -200 - -199.9999921. What is j rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 603035, 603036, 603041, 603050?\nAnswer: 603063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -948, 4, 3, 39, -5, 0.2, 0.045 in descending order.\nAnswer: 39, 4, 3, 0.2, 0.045, -5, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 16*((-309)\/(-12) + -26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * -117774.11.\nAnswer: 1413289.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5468.555l to millilitres.\nAnswer: 5468555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -67 - -65. Which is the nearest to 1?  (a) n  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/12 in -0.4, 72436, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2203139, 17625362, 59485675, 141003122, 275396747?\n\"Answer: 2203174*x**3 + x**2 + 2*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bsmshmmsssgmbhsbhbs.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*((sqrt(363) - (-1 + sqrt(363))) + sqrt(363)) - sqrt(363)) + sqrt(363) + (sqrt(363) - (1 + 1 + sqrt(363) - sqrt(363))))**2.\nAnswer: 396*sqrt(3) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*i = -20, 3*h + 2*i + 12 - 37 = 0. Let w = 2 - 2. Let d be (-1)\/2*(0 + w). Solve 0 = -o - d - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176757323 less than or equal to 176757323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*x**5 + 20*x**4 - 298555*x**3 + 13*x**2 - 11340507 wrt x?\nAnswer: -120*x**2 + 480*x - 1791330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) + -2 + sqrt(7))*3)**2.\nAnswer: -324*sqrt(7) + 5139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 6 = -f. Calculate the greatest common factor of f and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 - 2*m**2 + m**2)*(-m - 4*m + 3*m) - 4 - 4*m**3 + 4 + (2*m - 2*m - 2*m)*(4*m**2 + 4 - 4) + 6*m**3 - 19*m**2 + 19*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.94852mg in grams?\nAnswer: 0.01094852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 15*n**2 + 14*n + 7. Give b(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1241 and 6392?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7113119 is divided by 438?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 14*h**2 - 13*h + 4. Let l be y(-13). Let n(w) = -2*w**2 + 4. Let q(z) = -1 + 577*z**2 - 575*z**2 - 2. Determine l*n(a) + 5*q(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/7, -0.1, 0.02, -37 in decreasing order.\nAnswer: 0.02, 0, -0.1, -1\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/31)*(b\/b**(-3))\/b*b\/(b\/(b*b**(-10)*b))*b\/(((b\/(b*b*b**(-1\/9)\/b*b*b))\/b*b)\/b))**(-26) assuming b is positive.\nAnswer: b**(8528\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 4*y + 11 + 15, y + d = -2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -4415248  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 12:05 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 34*y**2. Let z(k) = 2541*k**2. Calculate z(g(m)).\nAnswer: 2937396*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -158\/517  (b) 1\/4  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 261553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - 28379*f**3 + 28417*f**3 - 39.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c - 5*w = -2*c - 1664, 0 = 2*w + 8. Let f = c + -75. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-345))\/((-36)\/(-120)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9891, 19799, 29709, 39621, 49535, 59451, 69369?\n\"Answer: l**2 + 9905*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (198\/77)\/((-23)\/((-1771)\/(-22))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57453 - -57713.03. Round o to the nearest integer.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 8 = 4*r, 10*a - 15*a - 26 = -4*r. What is the remainder when (-2123)\/(-165) - 2\/(-15) - r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4548*h**4*m**2*n - 818*h**4*m*n + 2*h**2*m**2*n + 62912*h**2*m*n - 3*h**2 - 2*n wrt h?\nAnswer: -109152*h*m**2*n - 19632*h*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, 15, 1, -2 in increasing order.\nAnswer: -57, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33605*z**3 - 76646*z**2 + 18908*z - 72 = 0. What is z?\nAnswer: 2\/517, 18\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266141400 divided by -4200.\nAnswer: -63367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1220301514 + 0?\nAnswer: -1220301514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5 - 19. Let q(w) = -w**3 - 2*w**2 + 2*w + 10. Let s(c) = c**2 - 1. Let j(r) = d*s(r) + q(r). Give j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26624*y + 26624*y + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 12:18 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -5, -7, -4 in descending order.\nAnswer: 5, 1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 567 a factor of 1455730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(12\/7)\/l)\/l)\/l*l**(-23)*(l\/(l**(6\/13)*l))**(2\/37) assuming l is positive.\nAnswer: l**(-81854\/3367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*d. Suppose d*q = 3*q - 15. Suppose 0 = 2*o - 4*r - 28, 5*r - 11 = q*o - 61. Let s(m) = m**3 - 6*m**2 + 3*m - 7. Give s(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -0*m + 2*m - 55, -m + 10 = -5*o. Let t = m + 6. What is t rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89736 is divided by 8156.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -25. Let t(a) = -2*a - 2. Let c(f) = f - 2. Let s be c(0). Let m be t(s). Solve n*b = m + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 20a + -daa1?\nAnswer: -d897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 479 (base 11) to base 5.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 7:01 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2*n + 8 = 0, -2*z + 2*n + 4 = -4*z. Sort -19, -4, z in decreasing order.\nAnswer: z, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -214 + 0*b + 10*b - 73*b**3 + 1015 - 10*b wrt b?\nAnswer: -219*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27.99999895 + -28. What is l rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f - 11. Let s be j(-6). Is 3\/s - (-2832)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 93*k**2\/2 - 146*k - 5. Find the first derivative of b(c) wrt c.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209 divided by -1831.\nAnswer: 209\/1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*r - 4 = -0, 1 = -2*a - r. Suppose a = 4*x + 14 - 42. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bssb when four letters picked without replacement from {s: 5, h: 2, b: 2, i: 3}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -12 - (270 - 257)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -5*k**4\/24 - k**3\/3 - k**2. Let x(i) = -6*i + 2. Let d be x(1). What are the prime factors of a(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2901, -11655, -26253, -46695, -72981, -105111?\nAnswer: -143085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -106 + 174. What is the common denominator of 2 - i\/(-10)*55\/231 and 32\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = -18 + 50. Suppose 1\/4*j - 3\/4*j**2 - 1\/4*j**3 + 3\/4*j**x + 0 = 0. Calculate j.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1094 + 1208 = -19*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 859*w**3 + 389 with respect to w.\nAnswer: 2577*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139531338 divided by -3.\nAnswer: 46510446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of b**5\/30 - 28*b**2. Let v(c) = -15*c - 5. Let t(l) = -23*l - 8. Let m(a) = -5*t(a) + 8*v(a). Give m(j(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.924527 minus -78.1?\nAnswer: 80.024527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 1:58 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of u**6\/720 - u**4\/12 + 21*u. Let k(b) be the third derivative of g(b). Let y(i) = -15*i**2. Determine y(k(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230 and 1550545?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/6*f**4 - 13\/6*f**3 + 3\/2*f**2 + 1\/6*f - 1\/3.\nAnswer: (f - 1)**3*(5*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.596621 litres in millilitres?\nAnswer: 4596.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.003\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*o + 15*o - 22*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y + 108 = -266. Is y >= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 18965 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*q**3*w + 12906*q**3 - 3*q**2*w - 2*q**2 + 23*q*w - 216*q + w wrt q.\nAnswer: 492*w + 77436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -52. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -153030 - -100344?\nAnswer: -52242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1.2, 1\/10, 0, -7, -0.26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188 is divided by 617?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of l**4\/4 + l**2\/2 + l + 7. Let h be n(0). What is the tens digit of h\/(-6) + (-1444)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t - 2. Suppose -70 = -4*w - w. Let q = w + -23. Let v(l) = -7*l - 5. Determine q*j(x) + 4*v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 59*x + 1. What is the units digit of p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -199600 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19448)\/1430 - (-2)\/(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2245242450 and 1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n + 3*n + 18 - 3*n - 13 - 5 - 71*n**2.\nAnswer: -71*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1055*g*r**3 + 3355*g*r - 62*g - 79050 with respect to r.\nAnswer: 3165*g*r**2 + 3355*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13006\/5 or -2600?\nAnswer: -13006\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -14. Let v be (60\/(-16))\/(y\/4). Suppose -i = -6*i - v. Put -0.2, 1, i in increasing order.\nAnswer: i, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 3*n**4\/32 - 11*n**3\/8 + 6*n**2 - 21*n\/2 + 86. Let w(c) = 0. Calculate c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -437036.\nAnswer: -43703.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 636.\nAnswer: -3180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 1\/4*n**4 + 0*n - 1\/3*n**3 + 89*n**2 + 0. What is b(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*l - 12*l + 591459. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5590, 10686, 15780, 20872, 25962?\n\"Answer: -t**2 + 5099*t + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10220532 to the power of 1\/2, to the nearest integer?\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1030, -4081, -9214, -16429, -25726, -37105?\n\"Answer: -1041*u**2 + 72*u - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -67, 4, 64, -1, -8 in descending order.\nAnswer: 64, 4, -1, -5, -8, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 0*k - 6*k**2 - 2*k**3 + 6*k**3 - 4*k - 2*k**3 - k**3. What is x(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 - 71956*d**2 + 323640096*d - 323568144.\nAnswer: 4*(d - 8994)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -17*v**2 - 3*v + 5. Let c(t) = 8*t**2 + t - 2. Determine -13*c(w) - 6*g(w).\nAnswer: -2*w**2 + 5*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.05 + -0.35. Let x = -4\/25 + -11\/25. Let z = 599.1 - 599. What is the closest to z in 0.2, x, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 84 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o + 7*o = -8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*(t*t**1)\/t)\/t)**(-3\/17))**(-1\/29))**(-13\/2) assuming t is positive.\nAnswer: t**(-39\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 8*d + 2. Let k be v(-4). Let b = k - 18. Solve -5*f + 20 = b, 5*r - f + 28 = f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 8:25 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 - 8*k**2 + 15*k + 2. Calculate u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 798*u + 266*u + 795*u = -115258 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-2)\/18)\/(3\/(-6))*(-1467)\/(-1304)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (20\/50)\/(12\/(-50)) + 11 + -9. Suppose 0 = t + 2*j + 6, t + 0*j - 3*j = 4. What is the third biggest value in o, -0.19, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 PM and 9:21 AM?\nAnswer: 604","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 4.371602 litres in millilitres?\nAnswer: 4371.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-348)\/22 - 6\/33. Let v be (7452\/h)\/(1\/(-4)). Suppose -2*z + 4*u = -954, v = 4*z + u - 0*u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-34)\/(-7) + (-11)\/(-77). Let k = j + -15. Is 9\/(-15) + (-2596)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368840*u**5\/7 + 84392*u**4 + 314474*u**3\/7 + 55836*u**2\/7 + 90*u\/7 = 0. Calculate u.\nAnswer: -3\/5, -1\/2, -15\/9221, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 9) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 15 = -g, -4*o + 3 = -5. Calculate the greatest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 + 3 = 5*x. Let p = -3 + x. What is the remainder when -1 + 38 - p\/3 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 + 26. Let u be 1 + 0 - (1 - 4). Let r be 6\/u + (-1)\/(-2). Is r < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*x + 123 = 0, 34 + 109 = 4*v + 3*x. Let s(d) be the first derivative of -37*d + 0 + v*d + 3 + 7*d**2 + 5. What is s(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 59 + -15 - 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5*m = 20765 - 1814, -m - 14216 = -3*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (15\/(-20))\/1 + 13\/(-4). Let z be (-2)\/(-4)*(h - -6). Which is the closest to z?  (a) -2\/3  (b) -2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 519 + -520. Let s = 796 - 791. What is the nearest to f in s, 2\/7, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 7:03 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 915942958 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 2a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.14 and 147903021538.\nAnswer: 147903021538.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2361780\/7 - -337400. Let -10\/7 - 2\/7*z - 2\/7*z**5 + i*z**2 - 10\/7*z**4 + 4\/7*z**3 = 0. What is z?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - ((5 + -9 - -6) + 6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*(-8)\/(-540)*2*(-63)\/(-28)*-30.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -104 (base 6) to base 11\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a + 0 + 0*a + 3*a + 3. Let r be h(-3). Suppose u - p - 11 = -r*p, -u + 2*p + 8 = 0. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4978)\/(-5895) - -1*(-4)\/10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 151229964440 to the nearest 1000000.\nAnswer: 151230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*(-3*sqrt(3600))\/(sqrt(432) + sqrt(432)*-2 + sqrt(12)) + -4 + 3.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24256721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 949 - 244 = 181*a - 176*a. Calculate the remainder when a is divided by 62.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 6:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 338\/(-40) + (-2)\/8 and 13\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5353 - -5357. Put o, -7, -84 in increasing order.\nAnswer: -84, -7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*y + 3*c, 2*y + 4*c + 1 = 3. Let z be (0 - -1)*y\/(-1). Differentiate 2*w**3 - 1 + w**3 - 4*w**z with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*((r\/(r**(1\/3)*r))\/r)\/r*r**3*r*r**(1\/3)\/((r*r\/r**(-1\/6))\/r))**(1\/19) assuming r is positive.\nAnswer: r**(11\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + j. Let d be c(-3). Solve 4*y = -3*r + d, 3 = 5*r + 4*y - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3713 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 639281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3500 and 50975.\nAnswer: 7136500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 45 = 0, -3*f - 5*i + 44 - 125 = 0. What is the second smallest value in -18, -1, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**4\/4 + 1945*r**3\/4 + 84873*r**2\/4 + 1211795*r\/4 + 1427881 = 0. Calculate r.\nAnswer: -17, -13, 1988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, r: 5, a: 3}. What is prob of sequence araa?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h. Suppose 5 = 4*s - 3. Let u(y) = 6*y - s*y + 2*y. Determine u(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 11:09 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4000729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -23*o + 13*o + 12*o. Let s(b) = -26*b - 1. Let n(l) = -362*l - 14. Let x(i) = 3*n(i) - 42*s(i). Calculate x(a(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5815.188 centuries?\nAnswer: 581.5188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2 = 365. Suppose 3*l - p - 5 = 0. Suppose 196 = 2*o + l. Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, m: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -l**6\/7 + 3*l**5\/35 + 9*l**4\/28 - l**3\/7 - 3*l**2\/14 + 3. Determine y so that x(y) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.01 and 1410.83.\nAnswer: 1410.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 38*r**3 - r**2 - r + 1. Let v be i(1). Suppose -8*j + v = 5. Suppose 5*a - b + 3*b = -j, -3*a = 3*b + 6. Solve a = 2*x - 6*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71404921099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 0*k + 9. Solve -k*c = -8*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 - 0.1. Round u to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00011234 rounded to 6 dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -73.973 + 74. Let o = b - -0.373. Suppose -2*m + 5 = -4*s + 21, -5*s + 25 = -5*m. What is the nearest to -2 in m, 0.02, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15619791, 31239582, 46859373, 62479164, 78098955, 93718746?\nAnswer: 109338537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 108, -41, 526?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 147 = -3*m - 3*i, 5*m - i - 262 = 0. Let c = m + -33. Let s be ((-16)\/10)\/((32\/c)\/4). Sort s, -1, 2, -3 in descending order.\nAnswer: 2, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8251.57 and 18?\nAnswer: 8269.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 235 and 1833.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - 312452979788?\nAnswer: -312452979788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64.999 - 65. Let r = 0.999 - x. What is the smallest value in -2, r, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 13653.56223 nanoseconds?\nAnswer: 0.000000000022575334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.6 and 0.3?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 2*m - 1. Let n be h(-3). What is the derivative of -2*x - n + 1 + 4 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p + 49*p**2 + 90*p**3 - 37*p**2 - 62*p**3.\nAnswer: 28*p**3 + 12*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -37, -210.\nAnswer: -210, -37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 706517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/5)\/((-5)\/(-15)))\/(-1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16\/(-20) + 2 + -1. Let q = 14506 - 14506.14. What is the smallest value in 4, r, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-172)\/56)\/(29\/15428*38).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -90*a**5 - 146668*a**4 - 69373425*a wrt a?\nAnswer: -1800*a**3 - 1760016*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, m: 11, l: 3}. What is prob of sequence dlmm?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (75 - 74) + -16 + -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 16*w**2 - 2 + 2 + w + 2 + 0*w**2. What are the prime factors of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119370*r - 119351*r + 48 = -845 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.55 - 2.681. What is m rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 547*c + 340. What is the units digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1484 is divided by 546.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5*278327327\nAnswer: 1391636635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6400061 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: Suppose -3*c = -6*c. Suppose -2*b - 4*i + 5*i + 64 = c, 5*i = 2*b - 64. Let w = b + -8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 13, 340\/11, -2 in descending order.\nAnswer: 340\/11, 13, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from flzpfpkg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 9. Suppose 6 = 4*r - 2*r. Suppose 4*q - c = -0*q - r*z, -4*q + 27 = z. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 3:25 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 58, 99, 166, 265, 402, 583, 814?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1349331, -1349328, -1349341, -1349370, -1349415?\nAnswer: -1349476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32\/7 - 85\/14. Let g = 47 - 49. Which is the second smallest value?  (a) -0.2  (b) g  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24342809 rounded to the nearest 10000?\nAnswer: -24340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -1498?\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 1\/3*d**2 - 20\/3*d = 0. What is d?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 175595131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.63221 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/30 + 92\/(-48)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1*sqrt(304)*1 - (sqrt(304) + sqrt(304) + -1 + -5))**2.\nAnswer: -240*sqrt(19) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -11*n**2 - 1. Let c be p(-1). Let f = -12 - c. Suppose f = -4*k + 147 - 11. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7344 (base 8) to base 10.\nAnswer: -3812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/10*6*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2129.784 - 2130. What is the closest to -0.1 in v, 5, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 5*o**5 + 925*o**4 + 53690*o**3 + 908600*o**2 - 2076320*o - 19638400 = 0.\nAnswer: -76, -34, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oodddddd. Give prob of picking 1 o and 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/18*(-190)\/(-38).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 67778047342.2?\nAnswer: -67778047338.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -1, 0, 0.2 in decreasing order.\nAnswer: 84, 0.2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 0*s - 10 = -4*u, -4*u - s = -2. Let b be -1*1\/u*2. Calculate the least common multiple of b + 2\/(6\/39) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b3 (base 15) in base 11?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.42667773 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.065 + -9.335. Let a = 6.4 + v. Let u be (-2 - (-118)\/60)*4. What is the nearest to a in -3, -2, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of -a**5\/20 - a**4\/4 - 5*a**3\/6 + 13*a**2\/2 - a. Let u be -30 + 5 + 19 - 1. Is t(u) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 3, -3761 in descending order.\nAnswer: 5, 3, -1, -3761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*d**2 + 0*d**2 + d**2)*(4135 - 954*d**2 - 4135) to s*d**3 + q + j*d**4 + h*d + g*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 2092343 = -2*y, 4*y = -j - 411672 + 4596391. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 8*l**2 - 20*l - 400. Give d(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let b be (-24)\/8*64\/(-12). Solve b = 13*t + 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from siilillssssillsssn. Give prob of picking 2 s and 2 i.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13242 - -43?\nAnswer: -13188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/162 and -133\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 20*a**4\/3 - 44*a**3\/3 - 172*a**2\/3 + 132*a - 24 = 0?\nAnswer: -3, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2575)\/(-200) + 12 + 7\/56?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 296, 307, 318?\n\"Answer: 11*k + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-4) - 33\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*x + 3. Let o = x - 7. Sort 0, o, -1.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 22 - -11) + 12 + 13 + -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1601495, -0.1 in increasing order.\nAnswer: -1601495, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -342.9716071737?\nAnswer: -343.1716071737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/4*86\/129 + 9\/((-3393)\/(-208)).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41262799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, e: 1, i: 1, d: 1, u: 1, f: 1}. Give prob of sequence efld.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 24, 11, -40, -147, -328, -601?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 113655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 3*d**2 - 2*d - 1. Calculate t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 317152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from czzzucuzuu?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.26 - -0.04. Let f = -32 + 36. Put -2\/9, t, f in ascending order.\nAnswer: -2\/9, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20444365637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4.66  (b) -1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*k = -9, -3*r = -4*k - 93. Suppose 0 = 9*i + 8 - r. Solve 4*x - 16 = p, i*x + 3 = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4162*q**2 - 9*q - 147908.\nAnswer: 8324*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -43*h**3 - 5*h - 20. What is the tens digit of n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4 - 52*n**3 - 296*n**2 - 428*n - 186.\nAnswer: 2*(n - 31)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 11:12 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*a = -2*c + 142 - 52, 0 = 30*a - 16*a - c + 70 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -224 + 1057. Suppose -4*u + 2*z = -p - 945, -u - 2*z = -447. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 8*s**2 - 9*s + 3. Let g be n(9). Let d be 2 + (-4 - -1) + g. Solve -2*q + 0*q = -4*r - 14, 4*q = d*r + 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -2, 1\/4, 14\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43856 is divided by 40453.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -927.2 - -849. Let a = j + 78. Let h = -0.02 + 0.22. Sort h, 0.19, a.\nAnswer: a, 0.19, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39478608 to the power of 1\/2, to the nearest integer?\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2245*p**2 - p**3 + 2245*p**2 - 8*p**3 + 69*p**3.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2 - p - 6*p**3 + p**3 - 3*p**2 + 7*p**3. Let v be 3 + 0*2\/4. Is w(v) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270 = -5*s - 2*h - 380, 5*h - 111 = 4*s + 2*h for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -5  (b) -0.075  (c) 0.2  (d) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.4 + -0.7. Let h = y - 1. What is the smallest value in -3, h, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {w: 1, z: 3, y: 1, j: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11318*z = -13080 + 92306 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/185721 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2327\/15 - 155. Let m = -9 - -6. Which is the closest to -1\/3?  (a) u  (b) m  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4084.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 457*m + 661 + 21 - 1612*m wrt m?\nAnswer: -1155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 164704 and 1120.\nAnswer: 5764640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -648148.1 to the nearest one thousand.\nAnswer: -648000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3389933 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 q = 62 - 57. Let i be 4\/q + (-1)\/(-5). Which is the nearest to i?  (a) 0.2  (b) 0.05  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 64 = -3*w. Suppose -w = -y + 46. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f + 3*f - 6*f)*(4 + 13 - 8).\nAnswer: -63*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 5:32 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273 = 13*q - 312. Calculate the remainder when 288 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(3*(sqrt(96)*1 + sqrt(96) + sqrt(96)) - sqrt(96)))\/(sqrt(75)*-1 + sqrt(75) - ((-1*sqrt(3) - sqrt(3))*-3 - sqrt(3)))*-6)**2.\nAnswer: 2654208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, e: 3}. What is prob of sequence leel?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 10:47 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.7 + -1. Let t = -0.2 - z. Let h = 159742 - 159742.2. What is the second smallest value in -7, h, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irgccrigcirig. Give prob of picking 1 r, 1 c, and 1 g.\nAnswer: 27\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 7\/4*m**4 + 2*m**3 + 3 + 0*m**2 + 0*m. What is the third derivative of p(q) wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(1360\/(-51))*4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t**3 - 2*t**2 - t + 2. Let y(p) = p - 16. Suppose 5*i - 25 - 50 = 0. Let h be y(i). Let k(g) = g**3 + g**2 + g. Calculate h*x(q) - 2*k(q).\nAnswer: q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 2. Let g be n(-1). Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2*y - 26084 = 1172, -2*w = 4*y - 27286. What are the prime factors of w?\nAnswer: 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/3 - 63\/189. Solve -3*b + 7 + 30 = -m*z, -5*b + 5*z + 45 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-9))\/(4 + 30\/(-9)). What is the remainder when (-11)\/a*(-5)\/((-35)\/(-91)) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -116536 + -1231986?\nAnswer: -1348522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -5*y + 4*y - 16, -2*x + 3*y + 9 = 0. Let v = -74 - -117. Let g = v - 27. Solve -x*b = b - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 131*p**2 + 5*p**5 - 81*p**2 - 106*p**2 - p**5 + 3*p**5 - p**5 + (p - 4*p + p)*(3*p**4 + 0*p**4 - 5*p**4).\nAnswer: 10*p**5 - 56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-150)\/8)\/(66\/(-16)) and 0 - (0 + 30\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3145711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 11. Let z = 536 - 216. Let v = z + -318. Sort 5, m, v.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 11:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 8*h + 26 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3648 is divided by 609.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**3 - 80*i**2 - 616*i + 3872 = 0.\nAnswer: -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 64.70466 minutes?\nAnswer: 1.078411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (1 - -94)*-1. Suppose -5*w + 4*l + a = 0, 0 = -3*w + w - 4*l + 44. Let t be w*20\/6*8700. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2) + 0 + sqrt(2)*1 + 2)*-3.\nAnswer: -6*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*z + 647 = 29*z. What are the prime factors of z?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*1410\nAnswer: -5640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - 457289?\nAnswer: -457294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1598 and 34357?\nAnswer: 68714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/18 and 37\/113475.\nAnswer: 680850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -964 = -3*m - 3*l + 2*l, -l = -3*m + 974. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7768, 7752, 7738, 7726?\nAnswer: 7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -899, -919, -955, -1007, -1075, -1159, -1259?\n\"Answer: -8*b**2 + 4*b - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 95*p**2 - 149*p**2 + 94*p**2 - 11*p in the form a*p**2 + w*p + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**5 - 198*p**4 - 13934*p**3 - 399184*p**2 - 3694953*p - 5901506 = 0.\nAnswer: -61, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**3 + 17*z**2 + 8*z + 4. Let x be (-13)\/5 + 2 + 518\/(-70). Let g be u(x). Let i be 30\/8 - (-1)\/4. Calculate the highest common divisor of i and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -5 - 3 - 4*s + s + 2*s. Let k be u(-6). Is k*3\/(-3)*43 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 2, p: 1, q: 2, k: 4, l: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - 7. Let o = t + 12. Sort 1\/2, -4, o in decreasing order.\nAnswer: 1\/2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {u: 10, w: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from -176986205.\nAnswer: -176986208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - -3 - -4 - -2. Solve -u - 20 = -o*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36885 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -30*c + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -58*f - 1. Let d(j) = 174*j + 4. Determine 2*d(c) + 7*g(c).\nAnswer: -58*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, y: 4, w: 8}. Give prob of picking 1 w, 1 k, and 1 y.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b + 9. Let d(n) = n - 10. Let q = -51 + 64. Let c be 1*16 + (q + -7 - 5). Let i be d(c). Let y(k) = 9*k + 6. What is i*y(j) - 5*t(j)?\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**5\/13 + 116*j**4\/13 - 222*j**3\/13 - 116*j**2\/13 + 224*j\/13 = 0.\nAnswer: -1, 0, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 636, 873, 1524, 2799, 4908?\n\"Answer: 35*o**3 - 3*o**2 + o + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10958188.67 rounded to the nearest 10000?\nAnswer: -10960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 151 (base 7) to base 11\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47739?\nAnswer: 3, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 40640774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k + 2*u = 19*k + 18, -5*u - 5 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/253, -37, -1, -6\/5, 11 in increasing order.\nAnswer: -37, -6\/5, -1, -1\/253, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 297546220 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 - 5*a**4)*(a + 2 - 2) + 44511*a**3 - 2*a**2 + 80*a**5 - 44511*a**3.\nAnswer: 75*a**5 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2603534 (base 7) to base 11\nAnswer: -210583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 9033501, 18066999, 27100495, 36133989, 45167481?\n\"Answer: -t**2 + 9033501*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 5 in decreasing order.\nAnswer: 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.184 to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 + -3. Let v = -22 + s. Suppose 2 - 11 = 3*a. What is the third smallest value in v, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g**3 + 11*g + g**2 - 9*g - 2*g**3 as w*g**3 + q*g**2 + k + l*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.05 + -0.35. Let m = -0.22 + -4.78. Which is the second smallest value?  (a) f  (b) m  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3489446667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-4 + 4 + -3 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**2 - 9*w - 9. Let h be r(-5). Let s = h + 14. Solve x - 1 = -s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -334080 divided by -1392?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 221 - -657834?\nAnswer: 658155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1021 + -1043?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32905 - -544583.\nAnswer: 511678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 151 = 9*k + 126, 0 = k - 2*w + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -29, -44?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.83435ug to milligrams.\nAnswer: 0.05183435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**2 - 2*b**2 - 3*b**3 + (-2*b**2 - b**2 + 4*b**2)*(4*b + b - 4*b) + 80*b - 77*b - b**3 - 3*b**3.\nAnswer: -6*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -111 - -99. Let x = q - 23. Let y = -25 - x. Solve -4*v - y = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1487 + 189*r**4 + 1454*r**4 + 524*r**4 - 365*r**4 with respect to r.\nAnswer: 7208*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/15*-6*9\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3803 + 548 = 360*w + 105*w. What is the biggest value in -2, 2, 58, w, 0.2?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7164 = -1509*o + 12453 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1579146376 to the power of 1\/2, to the nearest integer?\nAnswer: 39738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8485424 and 1022.14.\nAnswer: 8486446.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*n + 1. Suppose 4*i + 5*s - 1 = 0, 0 = -2*i - 3*s - 2 + n. Factor 2*t + 6 - 5*t + 15*t**3 + i*t + 2*t - 24*t**2.\nAnswer: 3*(t - 1)**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*m - 18 = 8*m, 0 = m + 3. Let z(n) = n**3 - 6*n**2 - 2*n + 19. Determine z(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*j - 10*j - 8*j - 3*j - 4*j + 5*j + 0 + 2*j + 0 + (-1 - 1 + 0)*(-2 + 2 + 2*j) + 4 - 4 - 2*j)*(j**3 - 3*j**3 + 0*j**3).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-1 - -3) - (-3 + -27 + 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 230\/(-6) - 0 - (-16 + 19). Let w = 42 + k. Factor 0 - 8\/3*p**2 + 2*p + w*p**3.\nAnswer: 2*p*(p - 3)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*b + 419 = 92, -5*o = 3*b - 341. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188*m - 1765 - 2371 = 0. Let q(d) = 5*d + 12 - 16*d**2 + 6*d - 1. Let r(j) = 4*j**2 - 3*j - 3. Calculate m*r(a) + 6*q(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-2)*2*8. Let i = t + 30. Suppose 82 = -5*s + 287. What is the remainder when s is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1844715000 to the nearest 1000000.\nAnswer: 1845000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0+-11911933857622\nAnswer: -11911933857622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -450686 and -5.\nAnswer: -450691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, h: 9, v: 4, k: 1, a: 4}. What is prob of sequence hxva?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9438.954 rounded to the nearest ten?\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14152\/58)\/4 - -35.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4553363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p + 12 - 11 - 1 + 0.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 916, 1825, 2734, 3643?\n\"Answer: 909*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rg when two letters picked without replacement from xxrxgrrrgzrrxxrrrrzg?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11840, 11792, 11746, 11702, 11660, 11620, 11582?\n\"Answer: j**2 - 51*j + 11890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - 2*s**3 + 0*s)*((3*s - 5*s + s)*(s - s + s) - 4*s**2 + 2*s**2 - s**2).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.060932, -0.1, 7, 1\/3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - (-210)\/1323*91) + (-8)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 679 or 680?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1417 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*y = 4*y - 6, -7*h - 14 = -y. What is the nearest to 1 in h, 3, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -60*r**3 + 4*r**4 - 756*r + 797 - 149 + 1436653*r**2 - 1436329*r**2.\nAnswer: 4*(r - 6)*(r - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 239357 - 86712. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + -2 + 5)*1. Let h be (-51)\/(-2) - (-7)\/(-84)*18. Suppose 2*q - h = -4*d, -4*q + 8 = 2*d - a*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -7*c. Let h(q) = -q**2 - 7118 + 7118. Determine k(h(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1650 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 5*r + 12, 0 = -5*p + 3*p + 3*r + 15. Let y(z) = -4 + 0 + 0 + p*z. Does 14 divide y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v - 19*v**3 - 46*v**3 + 11*v**2 + 63*v**3 to s*v + q + w*v**2 + b*v**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -370*s**2 + 31696*s + 10669. Calculate o(86).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**5\/330 - 3*t**4\/22 + 27*t**3\/11 - 3*t**2 + 13. Let l(y) be the second derivative of p(y). Factor l(g).\nAnswer: 2*(g - 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1155664 is divided by 60649?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 10, -11, -52, -119, -218, -355?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 30948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 145 or 732\/5?\nAnswer: 732\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4616 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -19*p. Let c = -2 - 2. Let u be i(c). Suppose 245 = 3*b - 5*s, -4*s + u = 3*b - 2*b. What is the highest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 451573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*z - 887*z + 833*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.294603 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(40\/(-75))*(-2)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 95, 220, 395, 620, 895, 1220?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 3*m = 5*a - 7, 3*a = -4*m + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111 = 45*p - 114 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 4*w = 23, -2*w = -2*i + i + 7. Suppose -32*v + 27*v = -c - 12, v + 6 = -4*c. Sort i, c, -4 in ascending order.\nAnswer: -4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3311*v**3 + v**2 - 4*v. Let f be q(2). Let b be f\/15*(-2)\/8. Let u = -443 - b. Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 95.44676858 to 1 dp.\nAnswer: 95.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 - 1405*j + 1397*j - 3 to x + y*j and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*3\/(-42))\/(76\/133)*-52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 292 - 295. Let j = -225 - -236. Let g = -1.1 + 1. What is the second biggest value in f, -1\/5, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 5*n - 210 = 0, -222 = -5*w + n + 55. Let v = w + -53. Let j(f) = 4*f - 2*f - 2 + 2*f**2 - 13*f**v + 12*f**2. Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2*s = -13 - 20, -s = -4*t + 24. Calculate the remainder when 8 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4382045.\nAnswer: 5, 29, 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 + 11851002*a.\nAnswer: 3*a*(a + 3950334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16246.5413 + -16245. What is o rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 57\/76 + (-1 - (-138)\/8). Let l be (0 + -6)*j\/51. Which is the smallest value?  (a) -2\/11  (b) 0.5  (c) -1  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**4 - 960*a**3 - 1905*a**2 + 960*a + 1908 = 0. What is a?\nAnswer: -318, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**3 - 43*r**2 + 83*r + 13. Let l be d(12). What is the second smallest value in 35, l, 2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-17 - -7) + (-3)\/(-1). Let t(u) = u**3 + 9*u**2 + 5*u - 13. Let c be t(i). What is the greatest common divisor of 150 and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/24283 and 12\/7.\nAnswer: 24283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 454*w - 2*w**3 + 303 - 313 - 245*w to the form n + g*w + z*w**3 + y*w**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10867591 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30.1 + -29.863. Round j to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 7 = -4*u + 3*u, -5*p - 29 = -3*u. Let w = 6 - p. What is the remainder when 29 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**4\/6 - o**2\/6 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11 + 9 - -5*1. Suppose -x = 3*d - 17, d - 23 = -h*d - x. Suppose -4 - d = -2*n. What is the greatest common factor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1213*h - 12*h**2 + 1213*h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**2\/2 - 3*m - 5. Let b be j(-5). Let p(v) = -11 - 5*v**2 - v**3 - 2*v + 2*v**2 - 5*v**2. Calculate p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 7. Suppose h = -h + d. Which is greater: h or -1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 559 + -4c?\nAnswer: 50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 239289689 and 12776?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180027337?\nAnswer: 7, 19, 283, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssshsstissssttt. Give prob of sequence is.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 26185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-88)\/16 + 6)*(1 - 7). Let c be (x + 2)\/(3 - (-66)\/(-21)). Let l(y) = y + 4. Give l(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 975 + -36078\/37. Which is the third biggest value?  (a) o  (b) 2  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6025626 or -6025646?\nAnswer: -6025626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 101011100 (base 2) in base 6?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100 + 1101011010110?\nAnswer: 1101011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 2*k - 3. Let b be h(2). Let l = -4 + b. Is 10 a factor of -5*l\/((-4)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2 - 2) + -3 - -1) + -1 + (-2143 - -2180).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -90 + 88. Which is the nearest to 0.3?  (a) 1  (b) z  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yycc when four letters picked without replacement from ycccycccccy.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/52 and 40\/3?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13.8 and -815.\nAnswer: -11247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 54764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -64b6 (base 14) in base 16?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**3 - 5*v**3 + 4*v**3 + (-4*v**2 + 6*v - 6*v)*(-3*v + v + 3*v) - 2*v**3 - v**3 + 5*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*9\/((-9)\/1)*(-2)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*d**6 + 0*d**6 + 10*d - 202*d**2 + 3*d**6 + 15*d + 288*d**2 + 136*d**5 wrt d?\nAnswer: -240*d**3 + 8160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 3*z - 4*z)*(-3 + 0 + 1) + (19*z + 284 - 284)*(0 + 2 + 0).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6487, 13059, 19631, 26203, 32775?\nAnswer: 39347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24.1 - 24.2. What is the closest to 0.2 in -1\/8, p, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5096 - 7?\nAnswer: 508a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 4*n - 3. What are the prime factors of (-2 + 5)*(-14)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -57ac6 + -4?\nAnswer: -57aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, v: 4, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2 - 42*u + 476. What is j(-29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -144*f*w + 2086*f + 6*w wrt w.\nAnswer: -144*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.073883933 - 937.926185367. Let g = l + 953. What is g rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/3)\/(s\/(s*(s\/(s**6*s))\/s))*s\/s**8*s**5\/s assuming s is positive.\nAnswer: s**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 218007.4 litres in millilitres?\nAnswer: 218007400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q - 41*q = 0. What is the nearest to 1\/2 in 0.1, 0.3, q, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1316 - 654 + 7*a**2 - 662.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -677, -4 in descending order.\nAnswer: 5, -2, -4, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.026 times 5916?\nAnswer: 153.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 35*d = 9*q - 2174, 0 = 5*q + 4*d - 9*d - 290 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 131607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of k**3\/6 - 4*k. Let v(p) = -4*p**3 + 3*p**3 + 200*p + 87*p**2 - 201*p - 87*p**2. What is 5*a(w) + 5*v(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 360 - 106. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*h + 4*f, -4*h = f - 13 + 68. Let l(s) = -s**2 - 14*s - 7. Let u be l(h). Let y = u - -6. Calculate the remainder when y is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) 0.3  (c) -10  (d) -12130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 799272.5ng in milligrams?\nAnswer: 0.7992725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 4*a + 1 + 5 + a. Let s(d) = 6*d + 7. Let o(g) = 4*l(g) - 3*s(g). Suppose -4 = 2*c + 4. Give o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115.2081 rounded to 1 dp?\nAnswer: -115.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11072 and 865?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.2 - 0.8. Let j = b + 2. Let o be 12*(4 + 60\/(-16)). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, y: 1, h: 1, f: 1}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19056514 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: Differentiate 2*c**2*g**3*u + 11058*c**2*g**2*u + c**2*u - 45969*c with respect to g.\nAnswer: 6*c**2*g**2*u + 22116*c**2*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12892 + -9146. What are the prime factors of i?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/((7\/(-28))\/((-1)\/6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i**2 + 3 - 5*i + 3 - 11. Let u(y) = y**3 + 10*y**2 - 12*y - 5. Let g be u(-11). Let h(x) = -5*x**2 + 6*x + 6. Calculate g*k(s) + 5*h(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*j = -5*j - 19, g - 4*j - 2 = 0. Calculate the highest common factor of 154 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t - 310 - 318 = -532 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {o: 1, u: 4, a: 9, e: 6}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-15)*z\/(z*(z**(2\/15)\/z)\/z))\/((z\/z**(-1\/6))\/z)**(40\/7) assuming z is positive.\nAnswer: z**(-493\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + -283. Let u = c + 265. What is the second smallest value in -2\/3, 4, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 760607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 8*q**2 - 3*q - 3. Suppose 0 = d + 4*o + 2, -17 = -2*d - 2*o + o. Let g = d + -7. Let k be u(g). Calculate the greatest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 3 - 3 + 5 - 5*b as c*b + q and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56*i - 31*i - 39*i)*(-2*i**2 - i + i).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 7*t + 560 = 0. Let x = 79 - t. Which is the second biggest value?  (a) 2  (b) -0.9  (c) x  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 228682 or 228683?\nAnswer: 228683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1615408 to the power of 1\/2, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of 1\/6*v**3 + 124*v - 3\/2*v**2 + 0. Let l(n) be the first derivative of -n + 1. Give -3*l(r) + w(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/(-10))\/((-8)\/(-20)). Suppose -3*n - 4*k = -54, 59 = 2*n + k - x*k. Suppose -2*t - n = -j, 2*j - 54 - 2 = -2*t. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-16)\/(-56) + 901\/7 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28*g**2*h + 330726424*g**2 + 3*g*h - 208902*h wrt h.\nAnswer: -28*g**2 + 3*g - 208902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qoqdjuqdguqg. Give prob of picking 1 g and 1 q.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((-36)\/670)\/(-3))\/((210\/(-25))\/(-14))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of 13*m**4\/24 + 2*m**2 - 12*m. Let q(s) be the first derivative of v(s). Is q(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 2*b**2 - 8*b + 24. Does 9 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 5*y - 7. Let i = -560 + 556. Calculate v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + h - 8. Suppose 0 = -0*w - h*w + 8. Suppose -116000 = -2*t - w*t. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/18)\/((-4)\/72). Let y be 9\/s*(9 + -5). Factor -2*k - 9*k**3 - y*k**2 - 7*k**3 + 15*k**3.\nAnswer: -k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24386 is divided by 325?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3332, -27804, -94552, -224714, -439428?\nAnswer: -759832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*w - 8*w + 10*w - 4*w - w + 4*w - 2*w + 4*w + 0*w + 0*w + 4*w - 3*w + (-3*w + 0*w + w)*(4 + 3 - 5) + 1 - 1 - 2*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 80 or 79?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8215561.\nAnswer: 1871, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from loiihiuiiklok. What is prob of picking 1 l and 2 i?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1\/r**(-7))\/((r*r**6)\/r**(-3\/2))*r**(-2\/5)\/(r\/((r**(6\/5)\/r*r)\/r)*r)*(r**(-1\/15)\/r)\/r**(1\/4) assuming r is positive.\nAnswer: r**(-241\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -918*k - 10134270 + 10134270.\nAnswer: -918*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*q + 2*q + 3*q)*(5*q - 4*q - 3*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.235?  (a) 2\/3  (b) 0  (c) 2\/9  (d) 4\/17  (e) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.41  (b) -0.5  (c) -16559  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 10 = 26. Let i be -10 + (-2)\/3*z\/(-4). Let m be 23\/i - (7 - 8). Which is greater: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2\/11  (b) -1583966  (c) 3\/4  (d) 0.5  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -10 in decreasing order.\nAnswer: 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 1. Let l(g) = -g**3 - 2*g**2 + 2. Let m be l(-2). Suppose -m*p = 5*q - 9, -4*q + 1 = -p - 1. What is the smallest common multiple of o and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from ccwqeqeeecccccce?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -772231, -772229, -772227?\n\"Answer: 2*y - 772233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2. Let i(a) = 2*a - 130. Calculate i(k(t)).\nAnswer: -2*t**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1404187427.5 rounded to the nearest one hundred thousand?\nAnswer: -1404200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (23 + 7)) + -1 - (2 + -10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (83\/(-249))\/(3\/(-54)) - (-68 + -1). Calculate the greatest common factor of 23475 and k.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*z + 3*z. Let k(c) = -9*c - 346. Let y be k(-39). Suppose 0*f - z = -3*v - f, -4*v - y*f = 7. Solve 5*b = -2*t + 10, 0 = 4*t - v*b + 7*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -728 and -4924?\nAnswer: 3584672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*6*(3 + sqrt(45) + 0 - (-6*(-1 + sqrt(5))**2 + sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5) + -4)).\nAnswer: -516 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**2 + 0*p**2 - p**2)*(-3*p - 2*p**3 + 3*p) + (-1 + 5 - 2)*(-p**5 - 2*p**5 + 4*p**5) + 73 - 73 - 22*p**5.\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 11*x - 3 + 0.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1683 smaller than 0.255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 78700 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80335 and 10545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 91066 (base 12) in base 9?\nAnswer: 316426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.02 + 0. Let m = q - 0.52. What is the smallest value in 0, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(128))*-1)**2*2 + -1.\nAnswer: 64*sqrt(2) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 347962291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618237 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8307967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42624\/24864)\/((-12)\/(-812)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35*s**4 - 2*s**5 + 2*s**2 - 27 - 5*s**2 + s**2 - 122*s**4 wrt s.\nAnswer: -120*s**2 - 3768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -218 + 221. Let z(a) = a - 1. Let c(v) = -2*v + 1. Let s(w) = q*z(w) + 3*c(w). Let l(j) = -51*j. Give l(s(m)).\nAnswer: 153*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 308153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 u, and 2 c when four letters picked without replacement from {o: 3, c: 2, u: 1, a: 6, g: 5}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, 0.2, 16, 2\/7, 3\/5, -15, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.823 rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-30)*63\/(28917\/2550))\/((-16)\/12)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2533 (base 6) in base 9?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (61 + 2*q - 117 + 90)*(q**2 - q**2 + 4*q**2)*(6*q**2 - q**2 - q**2).\nAnswer: 32*q**5 + 544*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + 192 - 246 = 0. Suppose 14*p - 83 = -69. Solve -3*u = x, -6 = -r + u + p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + c55359a?\nAnswer: c553596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 21*g**3 - 3*g**2 + 14*g + 3. Let n(z) = -7*z**3 + z**2 - 5*z - 1. Let d(p) = 11*n(p) + 4*o(p). Let q = 8 - 9. What is d(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 77 + -69.8. Let j = f + -7.3. Which is smaller: 6.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2700 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -183 + 68. Let s = p - -582\/5. Let c be 2\/((-28)\/(-8)*-2). Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 462 = 788. Suppose 6*r = r - u. Calculate the common denominator of 3\/10 and 8\/10*r\/(-44).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2943*h**3*w + 84*h**2*w - h*w - 2*h wrt h.\nAnswer: -17658*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0691625253 to 5 dps.\nAnswer: -0.06916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*w + 8*w + 3*w - 1 - w - 1 as s*w + t and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d + 2 + 19 + 0*d - 6. Let o be i(-12). Solve 0*f - o*f - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9657 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 59508 and 66?\nAnswer: 654588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -330*d**3 + 291*d**3 - 178*d**3.\nAnswer: -217*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 757 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a millimeter in micrometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -26915, -25412, -23909, -22406, -20903, -19400?\n\"Answer: 1503*b - 28418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 134595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 80*b + 9. Let q(z) = -3*z**2 - 161*z - 21. What is -7*h(s) - 3*q(s)?\nAnswer: 2*s**2 - 77*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 2\/7  (b) 4  (c) 1.36  (d) 4.6  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1087065 and 259840.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10100011011101010000 (base 2) to base 11\nAnswer: 418025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(275)\/(3*sqrt(605)))\/(-3*sqrt(176)*-4).\nAnswer: -1 + sqrt(5)\/1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -72 + 10 + 66 - (-1 + -22)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 10, -2191?\nAnswer: -2191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -259*t + 266*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 9*y - 97. What is b(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*w + 3900 = 2520 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 9:09 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*r**3 + 10*r**2 + 0 - 6*r**2 - 3*r**2 + 20 - 28 to n*r + t*r**3 + f + j*r**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + 2)\/(9\/(-12)). Let v = r - -13. Let y(g) = -v*g + g + g**3 - 3*g**2 + 0*g. What is y(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 448863 or 448445?\nAnswer: 448445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/(-20)*-2)\/(-3))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (236*g**2 + 211*g - 726*g**2 - 211*g)*(-4*g + 0*g + 2*g).\nAnswer: 980*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329195 is divided by 7554.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -22*l**3 - 18*l**2 - 9 + 12*l**3 - 2*l + 9*l**3. Calculate the remainder when q(-18) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aca when three letters picked without replacement from beeeakckaekccccc.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tpptttttpptp. What is prob of sequence ptpt?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.02493 minus -4?\nAnswer: 1.97507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 4741*w - 66181. Give n(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/1 + 0\/(1\/1). Let t(x) = 8 - 18*x + 16*x + 8 + 2. What are the prime factors of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u + 3*u + 10*u**3 - 8*u**3 - 11*u**4 as a*u**3 + g*u + l + s*u**2 + v*u**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -36, -1188, -4598, -11394, -22704, -39656, -63378, -94998?\n\"Answer: -188*d**3 - d**2 + 167*d - 14","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 vvzzvvvvv?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -8*y**2 - 3\/2*y**3 - 1\/20*y**5 - 9 - 1\/2*y**4 - y. Calculate z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122183 is divided by 740?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t + 2. Let x be m(-5). Find the common denominator of 39 and (-1137)\/130 - (-2)\/x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 7961720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, x: 1, k: 2, q: 2, v: 1, i: 1}. Give prob of sequence ievk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/4)\/((-328)\/656).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220) - (sqrt(220) + sqrt(220)*2))\/sqrt(11)*-3 + -5.\nAnswer: -5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 397 + -393. Put -0.3, 2, -15\/4, k in descending order.\nAnswer: k, 2, -0.3, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -79*i**2 - 982*i + 585. Give y(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5*36.2\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -72108, -67504, -62900, -58296, -53692, -49088?\nAnswer: -44484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 335 a factor of 1618025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1)*(193797 - 103*p - 193797) - 1 + 1 - 3*p.\nAnswer: 100*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24\/11 in 34, -4, 2, -4\/119?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 8 = 136. Let g = -21 + s. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 178721154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/5 + 87*m\/5 - 54.\nAnswer: (m - 3)*(m + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 7*v**3 + 71*v**2 + 230*v - 10. Calculate n(-3).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 12:05 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5288030 and 4?\nAnswer: 10576060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4500 + -1996. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 15 - 99)*(1 - 1 + 2 + (0 - 2 + 0)*(5 + 0 - 4) - 2 + 0 + 0 + 0 + 5 - 4)*(2*b**4 + 3*b**2 - 3*b**2).\nAnswer: 174*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 11. Let s be a(-9). Suppose -s*h + 9*h - 161 = 0. Sort 2, -3, h in decreasing order.\nAnswer: h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from miueb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*v + 6*v - 3*v)*(101 - 181 + 195)*(0 + 0 + 1).\nAnswer: -805*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26864?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 289\/2 + 1\/2. Let i be (-2)\/(-12) - w\/(-30). Let d = 4 - i. Is -4 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1455?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6281264233 to the power of 1\/3, to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6143404 - -0.06?\nAnswer: -6143403.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122 (base 6) to base 12.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, u: 4, l: 5, o: 1, a: 3, r: 1}. What is prob of picking 1 l and 1 r?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of 0*f + 31\/12*f**4 + 0 + 0*f**3 - 36*f**2 + 7\/6*f**5. Find the second derivative of l(v) wrt v.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -11, 3413, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x - 4. Let m be k(-3). Let b be (m\/(-20))\/(11\/22). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2443748 and -0.1.\nAnswer: -2443748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 3*l + 2*n - 3109, -n + 2 = 0. Let z = -336 - l. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3*((-5970)\/(-18) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25157*i*r**2 - 2*i*t**2 + 576*r**2 - 3*r*t + 2*t**2 wrt i?\nAnswer: -25157*r**2 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bncl when four letters picked without replacement from {c: 1, l: 3, b: 1, w: 3, n: 3, x: 3}?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12848 divided by -146?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5070 divided by 30.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) 0.07  (c) 1\/34  (d) -2\/9  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**4 + 3*l**5 - 3*l**4)*(-3 + 5 + 4).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - i + 2. Suppose 5*f + 13 + 0 = -3*d, f + 21 = 4*d. Calculate the remainder when 2990\/90 + d\/(-18) is divided by z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220101021000222 (base 3) in base 6?\nAnswer: 1141411555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16197 is divided by 219.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.98 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 1069118423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 + (22 - -46) - 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1 + 579657699?\nAnswer: 579657701.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3813119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**5))\/u**2 assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 10:04 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 - 82*x - 1161. Calculate s(-12).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2 + (sqrt(672)*-1*-3)\/((4*sqrt(72)*2)\/sqrt(12))).\nAnswer: -3*sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 - 91*j + 590. Let w be g(21). Let m(k) be the first derivative of -1\/4*k**4 + 17 + 3\/2*k**w - k - 4\/3*k**3. Determine m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24612.2 times 5\nAnswer: 123061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*n + 14, 0*t = -2*t + n + 14. Let w(y) = -3*y**2 + 4*y**2 + 7*y - t - 3*y + 2*y. What is w(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of v**3\/6 - v. Let k(r) be the third derivative of r**5\/20 + r**2. Determine k(m(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 72*r + 12. Let v(m) = 11*m + 1. Let k(x) = -g(x) + 3*v(x). Suppose 2 + 4 = -d. What is the units digit of k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*r + 6*r + 22*r + 0 - 154 - 166 in the form w*r + u and give u.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 13) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90456 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(7) + -1 + (sqrt(7) - -2*sqrt(63)).\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*a + a. Is a\/(-12) + 1158\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12914.\nAnswer: 2, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*y = -7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.43?  (a) 1\/3  (b) 3  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1429860167 to the nearest integer?\nAnswer: 37813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 o, and 1 e when three letters picked without replacement from eeeteetttuuoezotr.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2*r = 12. Sort 3, r, 0 in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 6*y**2 + 2*y + 8. Calculate d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -10*g + 118. Let n(o) = -7*o + 100. Give 2*m(a) - 3*n(a).\nAnswer: a - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29362665?\nAnswer: 3, 5, 283, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/(300\/(-9))*-10. Suppose 4\/13*n + 0 - 2\/13*n**2 - 2\/13*n**b = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6645 (base 14) to base 3\nAnswer: -220021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 10. Suppose -2*q + i = -1. Find the second derivative of 5*z + 3*z - 5*z - 2*z**q wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.8213 - 0.6213. Sort 4, 14, y, -10 in decreasing order.\nAnswer: 14, 4, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g + 10. Let m be d(5). Suppose m = 5*l + u + 2, 4*l = 5*u - 1 + 11. Solve l*z = 3*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1837 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 103*m**7\/105 + 161*m**3\/6 - 55*m**2. Find the first derivative of f(v) wrt v.\nAnswer: 824*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + n - 363 + 382, -7*n = 5*h + 34. Sort -4, h, -391, 1.\nAnswer: -391, -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 3517138?\nAnswer: -3517136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + -26. Let a be 6\/5*(-10)\/4 - y. Suppose 0 = 43*t - a*t - 6. Let q(k) = -4*k + 2. Give q(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*w + 10*w - 18*w - 30*w - 42*w - 28*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 65016 and 18576.\nAnswer: 130032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -756.5 + 135.5. Let w = 621.0000518 + q. What is w rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/17855  (b) 24  (c) 0.3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 700299 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -18. Let c = 6 - 2. Suppose c*i - 5 = 11. What is the smallest common multiple of h and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 40676000 to the nearest 100000.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -1  (b) 0.1  (c) 4\/7  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 828\/102 + -9\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 402463787?\nAnswer: 11, 61, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1587405194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 496*0.28\nAnswer: 138.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -924\/453203 or 0?\nAnswer: -924\/453203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2286.78856028 + -2287.4844. Let r = x + 1.975839112. Let c = r + -1.28. What is c rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-296)\/48)*28\/49?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -12*r + 72. Let h be s(6). Let g(q) = q**3 - 20*q**2 - 3*q + 72. Let x be g(20). Solve h = m - 9 + x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 16*k - 4. Let q(n) = -33*n + 9. Let y(h) = -9*l(h) - 4*q(h). Let p(c) = 3*c**2. Give p(y(d)).\nAnswer: 432*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 1, 18, 282, 0, 3 in descending order.\nAnswer: 282, 18, 9, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18367270.\nAnswer: 2, 5, 1836727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 9 = 5*q, 51*q - 4*u - 7 = 50*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 + -2 - 2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, n: 4, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2778 + 912. List the prime factors of i\/15*(-30)\/12.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**2 + 2*y - 2. Let j be (2\/(-2))\/1 + -1. Let z be b(j). Let h(x) = -z*x + 5*x + x**2 + 3*x + 3. Calculate h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 5  (b) 1.9  (c) -5  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 718 + -708. Let j be 5\/u*32*2. Suppose -4*v + 52 = x, 4*x - 3*v = -v + 190. What is the highest common divisor of x and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -205843 + -1?\nAnswer: -205844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 13*l**2 - 14*l**2 - 9*l**4 + 0 as y*l**2 + m*l**4 + o + h*l**3 + p*l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**4)**(2\/27))**(-22) assuming x is positive.\nAnswer: x**(-176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h - 5. Give y(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.301561*5\nAnswer: 1.507805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, x: 5, e: 1, b: 2, q: 4, l: 2}. What is prob of sequence blq?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 smaller than 1318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2051 (base 6) to base 14.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d - 24*d + 3408 = 5*u, 0 = 2*d - 3*u - 2253. What are the prime factors of d?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*h - 2785 = -16505 - 5486 for h.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 4*x**2 - 22156*x + 22152 = 0.\nAnswer: 1, 5538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/12 - (-25)\/(-3). Let s be (3\/o - -1)*-3. What is the units digit of 6 - s\/(-2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*p - 15*p - 100. Suppose -23*f = -p*f. Solve 2*h + 5 = h, -4*d + 5*h + 5 = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1021 (base 14) to base 4.\nAnswer: 223111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7616 is divided by 1194.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-75392\nAnswer: 37696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 327 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -191 (base 10) to base 9\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m - 12*m = -1. Suppose m = -5*z + 31. Let n be 18\/(-12)*(-56)\/z. Solve -4*y - 3*o = -2*y + n, 4*y = o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + -6 + -18 + 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/23  (b) -0.2  (c) -2\/13  (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + r - 6*r + 81, -2*t - 4*r = -80. What is the lowest common multiple of 58 and t?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 276950 and -0.06043.\nAnswer: 276949.93957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.408?  (a) -3\/815  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/(-42) + (-268)\/(-7). Suppose -2*v + o = 14. Suppose -2*h = 2*h - 96. Calculate the highest common factor of h and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 9*i = -15. Solve -3 = 3*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 5:15 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3444 - 3442 - 89*m - 18*m**2 + 16*m**2 in the form p*m**2 + s + k*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = a - 330, 2*z = -3 - 3. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2428383156708 + -9?\nAnswer: -2428383156717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -140*a**3 - 4*a**2 + 8*a - 8. Let z be j(4). What is z rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54667194.\nAnswer: 2, 3, 9111199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 - -42. Let x(h) = -h - 8. Let g be x(-10). Calculate the remainder when (g\/3)\/(8\/36) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.6474 times -0.1\nAnswer: -0.96474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3721968, 3722023, 3722078?\nAnswer: 3722133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5880823?\nAnswer: 13, 19, 29, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.8332 + -0.83303604. What is s rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58592, 469520, 1584898, 3756950, 7337900, 12679972?\nAnswer: 20135390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/520 and -9\/10982.\nAnswer: 2855320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003338 to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 9 = 7*l. Let k = 6 - 3. Sort l, k, -3.\nAnswer: -3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 2) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166435?\nAnswer: 5, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47115 is divided by 23490?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -6. Let s = -7\/4 - -13\/12. Put -0.2, s, l in descending order.\nAnswer: -0.2, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.2 + 95.2. Let s = -90 + i. Sort 8, -1\/4, s in decreasing order.\nAnswer: 8, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*q**3*s**3*w**3 + 2*q**3*s**3*w + 121*q**3*s**2 - 80*s**3*w**3 + 6*s**3*w**2 wrt w?\nAnswer: 36*q**3*s**3 - 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2124132.\nAnswer: 2, 3, 177011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(37*b - 14*b + 24*b) + 0*b + b + b - 6*b + b + 3*b + (-1 + 3 - 4)*(-4 + 4 - b) + 2*b - 3*b + 0*b + 2*b - 3*b - 4*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -54 - -220. Suppose v = -14*d + 1230. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = b - 7*a - 2, -b = -2*a - 8. Suppose b*x - 3*f - 74 = 0, x - 2*f = 17 + 4. Calculate the highest common factor of 153 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 21*(-2)\/12*-2. Let i be l\/(-2)*(6 + -8). Solve 5*y - 3*f = -0*f + 11, -3*f - i = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -112*c + 273 wrt c?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 17  (b) 2\/3  (c) 0.6  (d) 1\/5  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 6*y**3 - 4*y**2 + 6*y - 3. Let h be f(1). Let b(s) = -s - 3. Let a(c) = -5. Let t(k) = h*b(k) - 3*a(k). Let u(d) = -38*d + 1. Calculate t(u(v)).\nAnswer: 190*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.01, 14\/5, -14, -0.4, 2\/3, -2, -4\/53?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 210316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -13074 > -13072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 44 + -24. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 70 + 10. Let t(l) be the third derivative of l**5\/60 + 11*l**4\/24 - 11*l**3\/2 + 9*l**2. Calculate the least common multiple of t(j) and 5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/((-36)\/(-48))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 5*g - 2*g)*(-3530 + 1776 - 4132 - 635 - 3223).\nAnswer: 19488*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 8 = -5*v, 0 = -2*l - 5*v + 2*v - 8. Suppose 2*d = -g + 1, -2*d - 2*g = 2*g - 10. Which is the biggest value?  (a) -5  (b) l  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence md when two letters picked without replacement from dddmm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 268 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 1329205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 16 - ((4 - 1) + -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3830*m - 3489 - 1335 = 3696*m for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2031 - 2012. Solve -82 = -b*k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 46660 = -3*a, -5*a - 13819 - 9511 = -j. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262*i + 449236 = -2165786. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(2 - 0)\/(-26). Let w = 83 - 82.93. Let j = -0.03 - w. Which is the smallest value?  (a) -0.5  (b) j  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10444321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1388710 is divided by 367?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1042301 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 3*t**3 - 8314. Let u(z) = -2*z + 363. Determine l(u(d)).\nAnswer: 36*d**2 - 13068*d + 1185921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -62*v - 7. Let g be (7 - 0)*1\/(-1). Let d be z(g). Suppose -5*h = -d + 12. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 13*x + 47. Let i = x + 1. Let o(g) = 9*g**3. Let h(p) = -154*p**3. Give i*h(v) - 35*o(v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - 4*c = 0. Suppose -5*q - 21 + 6 = c. Let s(x) = x**2 + 2*x + 2. Let l be s(-3). Sort q, -5, l in decreasing order.\nAnswer: l, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4067 minus 35?\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + i + 1. Let v(p) = -p**2 - 1. Let d(c) = 2*k(c) + 3*v(c). Let t be d(-3). Suppose -11 + 2 = 3*w. Sort t, w, 0.\nAnswer: w, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16222017 (base 8) to base 15.\nAnswer: -4de873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ocvkkkpcoocoo. Give prob of sequence pk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**4 - 10946*i**3 + 812586*i**2 - 15581366*i + 14779724 = 0. What is i?\nAnswer: 1, 37, 5398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -5*b - 2*p, 0 = 5*b - b - 3*p - 94. Let y = -10 - -22. Calculate the lowest common multiple of b and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/550308 and -35\/16676.\nAnswer: 550308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -113 + 1?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 58 - 52. Let b be (-20)\/c*162\/(-12). Calculate the greatest common factor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*z = 74*z - 32 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.094 - 0.594. Let i = -1 + 1.4. What is the second smallest value in j, 2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h**2 - h + h**3 - 2*h**2 - h**4 + 0 + 2 + 3*h to d*h**2 + p + v*h + g*h**3 + x*h**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 + 130412*r**2 + 1173574*r + 1825516.\nAnswer: 2*(r + 2)*(r + 7)*(r + 65197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(5) - sqrt(10) - ((sqrt(80) - -2*sqrt(80)) + sqrt(80))\/sqrt(8))\/(sqrt(450) - (sqrt(50) + sqrt(50) + (sqrt(50) - sqrt(3200)))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*i + 151 - 305. What is the nearest to -1 in 0.1, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -14*k**3 - 29. Suppose -3*c - 3*o = 9, -c + 6 + 1 = -4*o. Let s(u) = 8*u + 3. Let p be s(c). Let h(w) = 9*w**3 + 19. Give p*t(z) - 8*h(z).\nAnswer: -2*z**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 127 - 43. Let n be 9\/(-21) - (-292)\/v. Suppose 0 = 2*k - 5*u - 30, 2*k - k - 5 = 5*u. What is the greatest common factor of n and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/((-6)\/2) - -2. Let d = 4 - 7. Let b be 1*m*3\/d. Solve b = -y - 3*o - 2, -13 = -y + 5*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -3*j - 11. Suppose -3*y + 8 = -y. Sort y, j, -4 in decreasing order.\nAnswer: y, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7332 and 3290?\nAnswer: 256620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7607, 19765, 65385, 129253?\n\"Answer: 9124*m**2 - 16731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*y + 48*y = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -82*h**2 + 8094*h + 2385. Calculate i(99).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (2 + -3 - 3). Solve 15 = -u*b, 6*a - 6 = 4*a + 2*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -227*f**2\/2 + 33*f - 25. List the prime factors of k(-1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g + g + g - 6*g + g. Let s(a) = -a + 6. Let m be s(4). Suppose -3*k + m*k - 3*x + 16 = 0, 4 = 5*k - 4*x. What is j(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**2 - 68340*s - 233517780.\nAnswer: -5*(s + 6834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.3 and 12972?\nAnswer: 12970.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -3*v**4\/4 - 19*v**3\/2 - 159*v**2\/4 - 60*v - 25 = 0.\nAnswer: -5, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34860964 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a factor of 797940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -162 - -165. Let x be (6\/20)\/(-3)*-12. Put -1\/3, l, x in ascending order.\nAnswer: -1\/3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 873 - 398. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - s**2 + 15. Let x be r(0). Let g(k) = -3*k**2 + 167*k - 94. Let l be g(55). Is x greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 23*h**2 + 4*h - 9. Let s(m) = m**3 - 10*m**2 - m + 1. Let a(l) = -g(l) - 2*s(l). Give a(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88875998.\nAnswer: 2, 37, 1201027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3 + 1111760*s**2 + 4447053*s + 3335292 = 0. Calculate s.\nAnswer: -3, -1, 1111764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4*l**3 + 5*l. Suppose 5*i + 3*x = -90, -90 = 5*i - 5*x + x. Let k(h) = h. Let s(u) = i*k(u) + 2*t(u). What is the second derivative of s(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 144 = -3*c + 160, -5*c = 3*a - 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m + 2. Let i be w(-4). Is (2 + -161)*2\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*h*q**3 + 1427*h*q**2 - 2883*h*q + 1099*q**3 + 2*q**2 + 413*q + 37 wrt h.\nAnswer: 4*q**3 + 1427*q**2 - 2883*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -n + 2. Let o be 0 + -1 - 3\/n. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 2*o - 4*u - 1, 5*o - 5*u = 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13.65 - 13.25. Which is the closest to 1?  (a) -0.03  (b) o  (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-592)\/(-1100) + 18\/(-45). Let w = d - -22919\/3300. Calculate the common denominator of -41\/9 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*-5 - (60\/16 + (-36)\/48)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f**3 - 11*f**2 - 2*f + 7. Is j(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**2 + 5*n**2 - 3*n**2 + (-2 + 2*n + 2)*(0*n - n + 0*n) + 5*n**2 + 11*n**2 + 26*n**2.\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 117*x**3 + 2*x**2 - 5 + 40*x**3 - 70*x**3 as b*x**3 + s + y*x + l*x**2 and give b.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**5\/3 - 11*x**4 + 238*x**3\/3 + 44*x**2 - 312*x = 0?\nAnswer: -39, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 8, 127, -4 in ascending order.\nAnswer: -4, -1, 3, 8, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 1012*l**3 - 3*l**2 - l + 7. Let z be k(9). Let o be -1 - -1*(z - 2). Let p be (o\/(-15))\/(2\/(-24)). Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -383 - -385. Solve -s*j + 8 = -0*j + p, 5*p - 22 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1104 divided by -4\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, a: 3, t: 6}. What is prob of picking 3 a?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) - sqrt(600))\/sqrt(12)*5.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 16*g = -3*k + 4772, 2*k + 2 = 0. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j + 12*j = -d + 2, 0 = -5*d - 4*j + 29. Let s = 0 + 1. What is the third smallest value in -0.04, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.3, -0.05, 8, -5 in decreasing order.\nAnswer: 8, 4, 0.3, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -175901791*l**5 - 379342158*l?\nAnswer: -3518035820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3 - 85*v**2 - 200*v + 780.\nAnswer: -5*(v - 2)*(v + 6)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 11 = 3*m, -2*m + 4*z + 25 = 39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 22, 28, 44, 76, 130, 212, 328, 484?\n\"Answer: f**3 - f**2 + 2*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.52 * 13.4\nAnswer: 6.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-187)\/119*((-21)\/15)\/(4\/10)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 - -18. Let n(o) = 16*o**2 - 11. Let t(h) = -3*h**2 + 2. Let a = 48727 - 48731. Determine a*n(j) + w*t(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -4*q - 5*u + 48, -7 = -q - 2*u. Suppose -4*k = -q*k - 245. What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-202)\/(-126) - (-129)\/(-2322)*-2.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 226336 and 82304.\nAnswer: 905344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 210109*k**2 + 1612*k + 32 wrt k?\nAnswer: 420218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 9, b: 2, t: 1, w: 6, j: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*m = -30*m + 56. Let t be 6\/11*m\/((-216)\/(-3)). What is the biggest value in 1, -3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 3 - (2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -20005 (base 7) in base 3?\nAnswer: -20121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 8*o + 40. Let x(b) = -2 - 2 - 6*b - 1. Is x(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 175, 273, 371, 469, 567, 665?\n\"Answer: 98*y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4208361*s**3 - 4736*s**2 - 194 wrt s.\nAnswer: -25250166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 372*q + 4093. Give b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1435.01?\nAnswer: 1430.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 17207.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68700 is divided by 2434?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - 0 - -2 - (-1 - (-1 + -4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 430\/60*6 - (-26 - -32).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-3)*0*1. Let f be -2 + (l - -6)\/1. Suppose 24 = f*s - 2*i, 0*s - 13 = -s - 3*i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572298599.\nAnswer: 572298599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6605666 divided by 3?\nAnswer: -6605666\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000749 rounded to seven decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 3:59 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 110011001101100010100010 (base 2) to base 12\nAnswer: 45b4b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2542*m**2*s**3 + 67133914*m**2 + 12069*m*s**3 with respect to s.\nAnswer: -7626*m**2*s**2 + 36207*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 38077*h**3 - 130*h**2 + 235453215 wrt h?\nAnswer: 114231*h**2 - 260*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 10602.\nAnswer: 74214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 5364.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3\/86, -2\/5, 156\/23, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y - 3*y + 2*y)*(4 - 3 + 0) + 20 + 3*y - 20 + (-10*y + 0*y - 3*y)*(4 - 3 + 1) in the form m*y + b and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 1253*v - 1243. What is t(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t**3 - 338*t**2 - 25201*t - 24862 = 0. What is t?\nAnswer: -62, -1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1457*l**3*m - 1277*l**3 - l**2*m + 2*l*m - 3 with respect to m.\nAnswer: 1457*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.5926 take away 0.44966?\nAnswer: -28.04226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/1316 and -79\/392.\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10.249394 and -0.06.\nAnswer: -0.61496364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -655867\/4 + 164863. Let r = h + -897. Let t be -1 - (0 - (0 - 0)). Sort -3, r, t, 0 in descending order.\nAnswer: 0, r, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(19) + 1) - (sqrt(38)\/sqrt(2) + -3 - sqrt(19)) - 3*(-5 + (sqrt(19) + 1)**2).\nAnswer: -12*sqrt(19) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36042176 to the nearest integer?\nAnswer: 6004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 84158676 divided by 84\nAnswer: 1001889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19.9 + -20. Let q = 6 - 7. Let k = 0.06 - -0.04. Which is the closest to q?  (a) -5  (b) k  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 - 7*x**2 - 2*x**2 + (3*x - 2*x - 2*x)*(0*x + x - 8*x) to l*x**2 + f + d*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*p + 338372 - 94373. What are the prime factors of p?\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.3  (b) -1  (c) -2\/1609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3*q - 16. Let z(f) = -4*f + 17. Let n(o) = -5*r(o) - 4*z(o). Let a be n(-8). Suppose 3*i = a*i - 2. What is the lowest common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 0 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 282 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26 - 12?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -5*r + 10*r - 188, -4*b = -4*r + 144. Let i be (-2)\/(-10) + 1112\/r. What is the tens digit of i + ((-4)\/(-2))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2. Let f(a) = 2*a**2. Let u(q) = 2*q - 4. Let r be u(4). Let b(h) = -2*h**2. Let o(m) = r*b(m) + 5*f(m). Give o(g(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -0.0438, -0.5, 7, 2, -2.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1040 and 8515?\nAnswer: 136240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 10:42 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.95 + -0.9. Let h = -0.55 + d. Sort h, -1, -4 in descending order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2990.4498 - 2761.402. Let q = j + -229. Let d = q + -0.0072. What is d rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2684 by 2.\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1044*k + 24 = 1022*k - 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 13*h + 36. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*h**3)*((3 + 1 - 3)*(10 - 10 - h) + (0 + 4 - 3)*(5*h - 6*h + 6*h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 3*l**3 - 18060*l**2 + 1216593*l - 14195520 = 0.\nAnswer: 15, 53, 5952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24.487 - -0.197. What is t rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/4932 and -77\/296.\nAnswer: 364968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/6*6*(-10)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6320?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1202*j - 1456*j = -3612*j - 27666 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314 = -2*f + 5*i, -3*i - 8 = i. Let k = f + -147. Which is the third smallest value?  (a) -0.4  (b) k  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus 0.03043?\nAnswer: -0.06957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 7 = 3*u + 7, 2*u - n = -10. Let p(x) = 2*x**2 + 6*x + 6. Is p(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 254, 250, 236, 206, 154, 74?\n\"Answer: -x**3 + x**2 + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 168274 by 6.\nAnswer: 84137\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 8 = -0, -2*z + z - 3*l + 22 = -0*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is -8797893.13 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 204\/(-15) + 762\/(-1905)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16593637\/72233145 - -119\/41585. Let k = w - 2\/193. Which is the nearest to 0?  (a) -2  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 11. Suppose -m - 6*b + 12 = -8*b, d*m + 4*b + 12 = 0. Suppose 2*j + j + 7 = z, -5*j - 5*z - 45 = 0. Put 0.2, m, j in ascending order.\nAnswer: j, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t. Let p(w) = -736938*w. Calculate p(f(r)).\nAnswer: 736938*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (18 + (-1370)\/75)*90\/(-15)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352)\/(sqrt(72)\/sqrt(9)))\/(sqrt(196)*1 - sqrt(4)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lscohsssh. What is prob of picking 1 o and 1 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ea when two letters picked without replacement from deaaqpa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 93141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -894, -1747, -2600, -3453?\n\"Answer: -853*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d\/(d*d**(-11)\/d))))\/(d*d*d**8*d))\/(d*(d*d**22)\/d*d**(-14\/3)*d) assuming d is positive.\nAnswer: d**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.950429 + 5554\nAnswer: 5553.049571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4437326?\nAnswer: 2, 2218663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppxppppnnp. Give prob of sequence np.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 13188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 30*i - 71 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**2 + 3*o + 1. Let v(q) = -3*q**2 + 4*q + 2. Determine 6*h(y) - 5*v(y).\nAnswer: -3*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12 + (-6205)\/51 + 10\/6. Let f be (-2)\/9 - (-952)\/(-9). Is f greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2\/3*v**4 - 200\/3*v + 0 - 10*v**2 + 4*v**3 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 9 = 2*a + 11, 3*a = -2*l + 10. Let d = -6 - -4. Is 5 a factor of d\/(((-7)\/l)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3809746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 518 - 514. Let z = 3.8 + -4. Which is the closest to 0.3?  (a) m  (b) 0  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193 = 17*y - 2*f, -2*f = -7*y + 72 + 11 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-4\/7)*o*o)\/o)**(-4)*(o**8)**18 assuming o is positive.\nAnswer: o**(996\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -137 + -17. Let h = 158 + x. Solve 2*j - 5*k = -12, j - 28 = -2*j - h*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - -22 - 13 - -11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*b**3*l**3 - 2*b**3*l*o + 69*b*l**3*o + 72*b*l**2 wrt o?\nAnswer: -2*b**3*l + 69*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1287 by 13.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 11*r - 2. Is 10 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 265, -11, -5 in increasing order.\nAnswer: -11, -5, -1, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 3*j**2 - 2*j. Let b be s(0). Which is bigger: b or 8\/23?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1399, 12, -9.\nAnswer: -9, 12, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -4*d - 1, -3*a + 3*d = -27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -8. Let x(d) = -d**2 - 6*d - 7. Let r be x(p). What is the units digit of r\/6 - 16\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 6 - 5*a + 4*a**2 + 8*a**2 - a**2 - 1. Let x be d(-5). Suppose -6*p + p = -x. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w - 7. Let q(g) = g - 12. Let i be q(7). Let x be u(i). Let l(a) = a**2 - a + 1. What are the prime factors of l(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 16\/4 + -1. Let s(i) = i**3 - 2*i**2 - 2*i + 2. Let l(u) = u - 1. Let q(v) = j*l(v) + 2*s(v). Factor q(o).\nAnswer: 2*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3326.857 less than 4?\nAnswer: 3330.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3609638*f**2 - 5129946*f.\nAnswer: 7219276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 13*f**4\/5 + 57*f**3\/5 + 33*f**2\/5 - 73*f\/5 - 6 = 0. What is f?\nAnswer: -3, -2, -5\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4403\/12408 - -33\/94. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -281*l + 52*l**4 + 279*l - 9*l**4 + (-2*l**3 + 0 + 0)*(-5*l + 4*l - l).\nAnswer: 47*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1327 - 3980\/3. Factor -l*v**2 + 1\/3*v + 0 - 1\/3*v**3 + 1\/3*v**4.\nAnswer: v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98*11\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gbgb when four letters picked without replacement from {g: 3, b: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2258660 rounded to the nearest ten thousand?\nAnswer: 2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/825154 and 69\/9376750?\nAnswer: 103144250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332514631.\nAnswer: 223, 1491097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 1400.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -p**4\/12 - 8*p**3\/3 + 3*p**2. What is the units digit of b(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 28 - 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100102 + 1001010?\nAnswer: 200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 divided by 33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -341230.6?\nAnswer: -68246.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 36 - 55. Let k be (4 - (-91)\/(-14))*(-1 - v). Let g be k*(4\/(-40))\/(1\/(-4)). Solve 0 = -5*c + 2*t - g, -3*t - t + 16 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*o + 5*w, 2*o = -3*o - 5*w. Let h be (4\/(-70))\/((-4)\/(-20)). Which is the nearest to 1?  (a) o  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - ((-12 + 3 - (-25 + 21)) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*c - 9*c + 4*a + 9, 43*c = 8*c + 4*a + 233 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g + 4. Let l = 0 - -1. Let u be ((-3)\/9)\/(3\/63). Let n(t) = -2. Let v(m) = 1. Let i(z) = u*v(z) - 3*n(z). Give l*k(y) + 2*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**2. Let w(m) = -87661*m**2. Give g(w(n)).\nAnswer: 15368901842*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**4 - 60*r**3 + 252*r**2 + 2140*r + 2856 = 0. Calculate r.\nAnswer: -17, -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 + k)*(-3*k**2 - 5*k**2 + 3*k**2) + 2*k**3 - 2*k**3 + k**3)*(4*k - 7*k + k) as f*k**3 + v*k**2 + z*k + a*k**4 + y and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 269050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 4*f**2 - 4*f. What is the units digit of y(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 7*z**2 + 10*z - 6. Give h(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -186*g - 235*g + 428*g - 105. Determine m(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(52\/390 + 1106\/30). What is the greatest common divisor of r and 4736?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 2*k + 3. Let k*m + 1 + 9\/4*m**2 = 0. Calculate m.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -815 + 2450\/3. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 366795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhyg when four letters picked without replacement from yyyyydyyhydyhhhhyyg.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/2 - (1 - 1). Let g(q) = 2*q**2 - 6*q**2 - 14*q + 13*q + 3*q**2 + 5*q**2. Let d be g(x). What is the greatest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**3 - 2*t**3 + 0*t**3 - 2*t**2 + 2*t**2 - t**3 + (-t**3 - t + t)*(0 + 4 - 3) - 5673 - 154*t**3 + 5673.\nAnswer: -159*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 570 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -650*z**5 - 15*z**6 - 735*z**2 - 131*z**2 + 13*z**6 + 4*z**3 + 0 + 0 wrt z?\nAnswer: -240*z**3 - 39000*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(-2\/21))**(-7\/5))**41)**40)**(-38) assuming k is positive.\nAnswer: k**(-24928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -541, -550, -559, -568?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(5) - (((sqrt(10)\/sqrt(2))**2 - sqrt(5)) + sqrt(5))) + sqrt(15)\/sqrt(3) + sqrt(5) + -1 - sqrt(10)\/(sqrt(16)\/(sqrt(8)*2)).\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by 6\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j + 3*j + 0*j)*(0*j + 6*j - j) + (-95 + 41*j + 95)*(j - 2*j - j).\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 2:58 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 23 - 2)*(5 - 2 - 4)*(2 + m - 2).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5 - 5, 3*d + 10 = -5*g. Let y = d - -3. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-4) + 2 + 120. Suppose -l = -i - 0*i. Suppose -4*h + i = h. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 824 and 3992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z - 2*z + 0*z)*(-2*z + 4 - 4) + (2*z + 3*z - 4*z)*(-2*z - 3*z + 4*z) - 2*z**2 - z**2 + 2*z**2 + z**2 + 5*z**2 - 2*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -129622.3 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10164050647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -5119.035 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (((sqrt(9072) - (sqrt(9072) + -5*(-1 + sqrt(9072))))*1)**2 - (-4*2*sqrt(5103) + 3)**2).\nAnswer: -99775 - 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*v - 151, 17 = 4*w - 3. Let r = 2338239\/16 + -146088. Let y = r - v. Find the common denominator of -59\/22 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 5*q**2 + 5*q + 4. What is the remainder when 115 is divided by z(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.460376 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 5*i + 7770, 56*q - i - 23226 = 53*q. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21112211211010 (base 3) to base 4.\nAnswer: -33103203330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*(v\/(v\/v**(2\/5))*v)\/v*v*v)\/v)\/(v**(-1\/10)*v)*(v*v**(-1))**(-41\/5))\/((v*v**1\/v)**(8\/9)*(v**(-2\/9)\/v)\/v**(-4)) assuming v is positive.\nAnswer: v**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + b + 0)*(-2 + b + 2) - 58*b**2 + 38*b**2 - 95*b**2 + 1 - 2*b**2 - 1.\nAnswer: -116*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 2*l = 72. Calculate the remainder when 33 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -15*x**5 - 70*x**4 - 5*x**3 + 130*x**2 - 40*x = 0.\nAnswer: -4, -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -148 - -256. Suppose x - 8 = 19. What is the highest common divisor of m and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1509 - -0.0491. What is the nearest to -1 in -2\/9, v, 4, 70?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1502388 divided by 9?\nAnswer: -166932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120750025 and 825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4109.616l?\nAnswer: 4109616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of -z**8\/224 + z**7\/7 - 39*z**6\/40 + z**5 + 79*z**4\/16 - 15*z**3 + 7*z**2 - 116*z. Suppose d(b) = 0. What is b?\nAnswer: -1, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 9:27 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-60)\/210*(-7)\/2 - (3 + -343711) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/126 and 56\/297.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3768 is divided by 2890.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-80)\/(-22))\/(-2) + 2 + 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 6:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 31 - -2) + 41 + 32?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.888466ml?\nAnswer: 0.000888466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31698 is divided by 2092.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 5*g + 182, -275*p = -g - 279*p - 41 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4) + -6 + 2 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 5*d + 3. What is the least common multiple of n(9) and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4201806 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 8:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 2. Let r(h) = -83*h**2 - 92. Let d be (-5)\/(-3) + 1\/3. Let i(m) = d*v(m) + r(m). Find the first derivative of i(y) wrt y.\nAnswer: -162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**3*s**3*y**2 - 19885*b**3*s**3*y + 23*b**3*s*y**2 - 2*b**2*s*y**2 + 6*s**2*y - 2*y**2 wrt s?\nAnswer: -12*b**3*y**2 - 119310*b**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 7*o**2 - 11*o - 4. Suppose -4*y + 8 = -0. Let b be (12\/y)\/(6\/(-8)). Let f be w(b). Solve a - 5*a = -f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 + -210?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x**2 + 428*x - 3262. Calculate z(-68).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291544921?\nAnswer: 291544921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13047 - -22658. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 10*i - 36. What is the second smallest value in i, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3 + 7 - 2 - 2*s**2 + 2*s. Let k be 10\/(-2) - 0\/(-1). Let n = -2 - k. Calculate j(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from wwwwwewwwewwwwe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9719897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-99)\/(-308))\/(48\/(-14)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18665321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/542420823?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 6*g + 6. Suppose -r + 4*a = 5*a - 1, 3*r - 4*a = -32. Let w(y) = y**2 - 4*y + 6*y - 5 + 25 - 15 + 3*y. Calculate r*b(z) + 5*w(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**5\/5 - 652*p**4\/5 + 53136*p**3\/5 + 652*p**2\/5 - 53138*p\/5 = 0. Calculate p.\nAnswer: -1, 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 485 is divided by 193?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 51608118371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*n = -12, 0 = -2*p + 4*n - 2*n. Suppose -4 = -4*b + 4*t, -3*t - 14 = -4*b - p*t. Let c = b - 0. Let d(x) = -x + 5. Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 630*o*x**3 + 383846*o*x + 34*x**3 - 247756 wrt o.\nAnswer: 630*x**3 + 383846*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(832) + sqrt(832) + 0 + 2 + (sqrt(832) - (2 + sqrt(832)))*1)**2*-5*3*5.\nAnswer: -249603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 - 3*z**3 + 7*z**3 + (-8*z + 45 - 45)*(-z - z + 0*z)*(6*z - z - 3*z) to p*z**2 + n*z + d*z**3 + q and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -21*n**2 + 1759*n - 1339. Calculate k(83).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -3*p**4\/4 - 11*p**3\/6 - 3*p**2\/2 - 2601*p. Let a(l) = 8*l**2 - 3*l**2 + 2 + 6*l + 0. Give 7*a(o) + 4*y(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.301 rounded to one decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95888 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 4*q**2 + 3*q**2 + 2*q**2)*(-16*q + 12*q - 10*q).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 3*k - 10, 188*a - k - 10 = 183*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2381 + -1470. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.83 + -0.17. Sort 4, 3, k in increasing order.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 436972056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -89266 times -172\nAnswer: 15353752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11969310?\nAnswer: 2, 3, 5, 398977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*w - 228975 = -178*w. Calculate the greatest common factor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2176, -4280, -6384, -8488?\nAnswer: -10592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -14 + 17*m - 1\/9*m**2 + 2\/27*m**3 - 1\/54*m**4. Let j(v) be the first derivative of n(v). Factor j(g).\nAnswer: -2*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**25*t)\/t**(-15\/8))\/(t**24)**(-19\/5) assuming t is positive.\nAnswer: t**(4763\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 2*l = 6*j, -4*j = l + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f + 18. Give h(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 1. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*c**3 - 3*c**2 + 6 - 9*c**3 + 3*c**4 - 20*c**3 - 2*c + c**2 to a*c**4 + k + d*c + b*c**2 + z*c**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/2951 and -81\/130.\nAnswer: 29510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**8*((x\/(x\/x**(-5)))\/x)\/x*((x\/x**(-6\/11))\/x)\/x*x\/x**(2\/3)*x)**16 assuming x is positive.\nAnswer: x**(992\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x + 8 - x + 1. Let k be (13\/3 - -1)\/(12\/(-18)). Let l be v(k). Sort 5, 0, l.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nxq when three letters picked without replacement from {x: 2, n: 1, t: 2, q: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15744 and 720.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 5. Let q(z) = z + 6. Let w(t) = t**2 + 11*t - 8. Let x be w(-11). Let a be q(x). Sort 3, a, l in increasing order.\nAnswer: a, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5183*g**2 + 5185*g**2 - 161 + 231 - 537 - 407 + 2*g to the form x*g + z + o*g**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**5\/20 + s**4\/6 + s**3\/2 - s. Let v be q(-2). Solve -a + v = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*i - 2*i + 3*i)*(3*i - i - i) - i - i**2 + i + 3*i**2 - 3*i**2 + i**2)*(4 - 4 + i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 13 - 17 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -82665*i**3 + 49626 wrt i?\nAnswer: -247995*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide (((-24)\/150)\/((-2)\/4055))\/(1\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6750 and 55050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 885, -2\/3, -0.5, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 314033796 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.29 - 0.29. Which is the nearest to 7?  (a) o  (b) 4\/9  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9461\/13 + 1990463\/2730. Let z = x + 16\/21. Calculate the common denominator of -3\/2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7)*-7)\/((-32)\/(-40))*126\/45.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*v + 19 = 2*v, -4*p = -v + 31. Let n = p + 11. Suppose 63 = 3*l + 4*l. What is the least common multiple of n and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -817*q - 2660. Let u(v) = 34*v + 112. Let a(x) = 4*k(x) + 95*u(x). Let w(n) = -32*n**2. What is w(a(z))?\nAnswer: -46208*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/29 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*z = -152*z - 158. Which is bigger: -317\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + 22\/(-5))\/(1\/5). What is the nearest to p in -4, 5, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*t + 42 = -0*t, t = 3*c - 19. Is (-6)\/c - (-847)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 + -6)\/3*-1. Solve -z + 5*g - 5 = -28, -2*z - 2*g - 14 = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190\/(-1140) + (-226315)\/(-6)?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 2*k = -14, -32 + 30 = 4*a + 2*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -0*s - 5. Let n(j) be the first derivative of 3 + 2*j**2 + 1\/4*j**4 - 2*j**3 + 3*j. Give n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + 0)\/(6 - (-10336)\/(-1720)). Suppose 2*u - 1690 = 4*y, 3*u = 7*y - 6*y + g. Let m = y - -704. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.08, -6, 0, -0.007, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 14. Let o be 36\/(-24)*(-16)\/(-6). Let n be b(o). Let g be 4\/10 + (-18)\/(-5). What is the third biggest value in g, 2\/15, n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1308)\/5)\/(12\/(-40)) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, m: 8}. What is prob of sequence rr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 10. Let o(u) = u**2 + 6*u - 5. Let p be ((-2)\/(-4))\/(1\/(-14)). Let n be o(p). Solve 5*j + 10 = -3*l, x = 3*j + n*l - 5*l + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305*x - 14368 = 297*x. Calculate the lowest common multiple of 22 and x.\nAnswer: 19756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -655319*s**2 - 2*s + 92849?\nAnswer: -1310638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 12:33 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**2 - 4 + u + 2 - 173*u**3 - 139*u**3 + 367*u**3 to l*u + b*u**3 + k*u**2 + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.404 times -1.03?\nAnswer: 0.41612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, s: 9}. What is prob of sequence qs?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - (5 - 16)) + 10 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 7*z**2 + 2*z + 1. Let w be 2\/8 + (-152)\/(-32). Suppose w*y + 27 = 2. Let c = y + 4. Calculate h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148412251 minus -0.748604?\nAnswer: 148412251.748604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*f + 64 = -30. Factor 24\/13*y + 2\/13*y**3 - 16\/13 - 12\/13*y**f.\nAnswer: 2*(y - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1346\/5 - -269. Sort j, 0, 1 in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/5, -5, -0.5, 2 in decreasing order.\nAnswer: 5, 2, -2\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3308, -3306, -3304, -3302?\nAnswer: -3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -298*d + 773 - 550*d - 35*d - 65*d wrt d.\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4 = 0, -15 = -5*s - 2*r + 7*r. Suppose 4*z - 14 = -s. Let x = 2 + -2.1. Which is the nearest to x?  (a) -5  (b) z  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + 3*t + 8. Let n be g(4). Let f(q) = -q**2 + 6*q - 4. Let d be f(4). Find the first derivative of 23*k**n - 64*k**4 + 19*k**d + 10 wrt k.\nAnswer: -88*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244530 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**2 + 0*k**2 - 5*k**2 + (0*k - 3*k + 2*k)*(-k + 4*k - k) + 2*k - 2*k - 2*k**2 + k**2 - k**2 + 2*k**2 - 8*k**2 + k - k - 5*k**2 + 0*k**2 - 4*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*(-65)\/(-26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 2\/7, -1\/7 in decreasing order.\nAnswer: 27, 2\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8*t = -13*t + 19429, 5*g = -3*t + 48639. Solve -4*l + g = 9712 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-20) - (2010\/25)\/(-6). Suppose 33*z = q*z + 240. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 3*i - 4*x - 17, -3*i + 5*x = -16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 359731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.44 and 0.13717954.\nAnswer: 0.57717954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.837653km to millimeters.\nAnswer: 6837653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1651019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - (sqrt(95) - ((1*sqrt(95) + sqrt(95))*3 + sqrt(95))) - sqrt(95))\/sqrt(80).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 248 + 156. List the prime factors of u.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 47*i + 3. Let c(m) = 140*m + 8. Give 3*c(u) - 8*l(u).\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.14?  (a) -99\/5  (b) 1  (c) -2  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132762, -531037, -1194840, -2124177, -3319054?\nAnswer: -4779477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (-2 + sqrt(700))*6)**2 + 0)*-3.\nAnswer: -76275 + 5400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3131 + 25?\nAnswer: 3156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 3:01 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 3:54 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -967307 divided by 14.\nAnswer: -967307\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1772, 1932, 2088, 2240, 2388, 2532?\n\"Answer: -2*q**2 + 166*q + 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of 2*p**3 - 3 + 3 - 3*p**3 + 1. Let s(d) = 5*d**2 + d**2 - 8*d**2. Give c(s(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3*b**3 + 4*b**2 + 16*b + 2. Is s(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g**2 + g**2 - 504 + 507 + (2 - 4 + 3)*(-g - g**2 + g).\nAnswer: -5*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 184, 187, 192, 199, 208?\n\"Answer: s**2 + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/(-12) + (-2)\/8)*2. Sort 4, 6, z.\nAnswer: z, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5900488 to the power of 1\/2, to the nearest integer?\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173171708?\nAnswer: 2, 43292927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190293204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/(-6)*(18 + -21). Let s = g - -65. Let f = 21 + -12. Calculate the greatest common divisor of s and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + (-1 - -2))\/(84\/(-504))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(110))\/sqrt(2) + 4*sqrt(110)\/sqrt(2))\/(-5*(sqrt(605)*-2 + sqrt(605))).\nAnswer: 3*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 + 2*j**2 - 5*j**2 - 10*j**5 + 0*j**5 - 3*j**5 + 5*j**5 + (-5 + 3 + 0)*(-4*j**5 - j**5 + 3*j**5) - 3*j**5 + 2*j**5 + 0*j**5)*(-13 + 47 - 24).\nAnswer: -50*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*v**2 + 115*v + 10*v**2 + 3*v**2 - 125*v wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 12*u + 69. Let j be n(16). Solve -4*l = 2*v + 14, 0*l + 5*l - 5 = j*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*v**3 + 64*v**3 + 25*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 84 = 23*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8138 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -0 - 6. Let s be 2 - (-1 - m) - -42. Let k = 10 + s. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 451*a + a**2 - 451*a + 18176169 - 18176169.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 69 + -70. Let x = -5.03 + 0.03. Which is the smallest value?  (a) r  (b) 2\/5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 45 = 3*l. Suppose -4*m + 50 + 118 = 0. Calculate the highest common factor of m and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12.4 + -9. Let d = u + -3. Let q = d + -0.3. Which is the nearest to q?  (a) -0.3  (b) -4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2045274 and 26562?\nAnswer: 2045274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 23*u + 1. Let v be g(7). Let b = v + -160. Let n(a) = -a**2 - 4*a + 3. Let t be n(-4). Solve -b*q + r - 7 + 1 = 0, 3*q + 3 = t*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60324 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -10 + 14 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2321724 divided by 136572.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 275540711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284*u + 5569 = -283*u. What are the prime factors of u?\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 5 + 6*l**2 - 9 + 6*l - 8*l**2. Let v = 15 + -15. Suppose v = -2*f + 4*f + 5*m + 17, 22 = 3*f - 2*m. Calculate n(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15331 divided by 2\nAnswer: 15331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**2 - 3*m**6 + 2*m**2 - 7*m**6 wrt m?\nAnswer: -1200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121854 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*s**2 - 10*s**2 - 2*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6.02 and -42395057.284.\nAnswer: -42395063.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1012965 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j\/(j\/j**(-3\/11)*j))))\/(((j**(-37)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(437\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 27\/4 + 2\/((-4)\/14). Put 9, -2, b, -3 in ascending order.\nAnswer: -3, -2, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16930487147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -2309a8?\nAnswer: -2309a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 57 - -35?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**6 - b**5 - 7166*b**3 + 5*b**2 - 3806 wrt b.\nAnswer: -120*b**3 - 60*b**2 - 42996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0*r + r - 88, 4*r - 361 = q. Let j = r + -87. Solve 5*a + 4*p = -8, -j*a + 3*p - 4*p = 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 323 divide 15991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 28298, 56847, 85396, 113945, 142494?\n\"Answer: 28549*d - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**5\/15 - o**3\/3 + 10*o**2 + 20. Let t(l) be the second derivative of z(l). What is the units digit of t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 26, 36, 46, 56?\n\"Answer: 10*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/1*(1 + (-3 - 1)). Suppose 2*i + 158 = 3*m, 0 = -m + 5*i + s + 35. Calculate the greatest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 29\/2 of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 3:31 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -78, -138, -212, -306, -426, -578, -768, -1002?\n\"Answer: -d**3 - d**2 - 50*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g**2 - 3*g - 2. Let l be ((-3)\/(-3))\/(-1) + 3. Suppose -v = -l*v - 8. Let p(s) = -5*s**2 + 9*s + 5. Let k(j) = v*y(j) - 3*p(j). What is k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f. Let h be c(-3). Let b(w) = -5*w - 1. Let r(l) = -4*l - 1. Let v(x) = 3*b(x) - 4*r(x). Let d be v(h). Solve d*u + 2 = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32687*m**5 - 6*m**2 - 301*m - 2.\nAnswer: -1961220*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 1:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 - 232*h + 3072.\nAnswer: -2*(h - 12)*(h + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26783 + 26797.5832. What is x rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r = 11*r - 2079. Let i = 240 - r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 104 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*x = -4*n + 111*x + 9, -n = -2*x + 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59, -122, -193, -284, -407, -574, -797, -1088?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 53843269 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6518905 milliseconds in nanoseconds?\nAnswer: 651890.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirty-five quarters of a second?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -8. Let g(u) = n - 2*u**2 - 4*u**2 - u**3 + 2*u**2 - 1 - u. Suppose 5 = -x + 3. Determine g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9  (b) 0.24  (c) -2\/47  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -14. Let b = r - -9.1. Let l = 3.07 + -0.07. Do l and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1587 and 34983?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 2*m + 1)*(2 - 4 - 1) - 17*m + 6*m - 22*m)*(-3*m - 2*m + 4*m).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 50.30279 years?\nAnswer: 0.5030279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -1.6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 28993*h + 32182231. Determine q(-1110).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12746120 to the power of 1\/2, to the nearest integer?\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {s: 1, z: 4, e: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**12)**(-7\/6)*b**6\/((b\/(b**(2\/45)*b))\/b) assuming b is positive.\nAnswer: b**(-313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-1 + (sqrt(891) + 2*sqrt(891) - sqrt(891)) - (sqrt(891) + 3*-2*sqrt(891))) - (1 + (0 + sqrt(891))*4*-5))**2.\nAnswer: -2916*sqrt(11) + 649575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27\/50 + 3\/50. Sort -1, -2, b, 4 in descending order.\nAnswer: 4, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3434031 (base 5) to base 6\nAnswer: 1153542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 2:39 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 4*d**2 - 1 + 1 + 4*d - 5*d**2. Suppose -5*l = 5*i - 10*i + 245, -3*i - 3*l = -165. Let p be 5\/2*13\/(i\/8). What is z(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of y - 1\/2*y**2 - 6. Let c(b) = -2*b + 6. Give -c(j) + 4*i(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 126, 3, 1, 5, 193 in decreasing order.\nAnswer: 193, 126, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22582 is divided by 7141.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of 16\/3*z**3 + 0 + 2\/3*z**4 - 26\/15*z**5 + 16\/35*z**7 + 11*z**2 - 3\/28*z**8 - 1\/30*z**6 + 0*z. Let g(o) = 0. What is o?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 54*j + 3 - 179*j**4 + 180*j**4 - 452*j**3 + 53*j as l*j**4 + k*j + x*j**3 + d + q*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7348, -7345, -7340, -7333, -7324?\nAnswer: -7313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from swsssww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + -1 - -10) + 160 + -155 - 8 - 17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -8 - 12. Suppose 12*o = 19 + s. What is the lowest common multiple of 11 and o\/10 - (784\/20)\/(-4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301 = 199*u + 1160 + 4310 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from edxme.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14018, -28034, -42048, -56060, -70070, -84078?\nAnswer: -98084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 3)*(-3 + 2 + 0)*(1574278 - 1574278 - 2730*f) in the form j*f + n and give j.\nAnswer: 5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/8 + (-1)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1112.8 + 1112.800009765. What is p rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - a + 156, -2*a - 104 = -p - 2*p. Let o be 3 + (1\/(-2))\/(5\/(-10)). Calculate the greatest common factor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 34. Solve q = -0*q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 8*i + 5. Let d(m) = -1. Let x(p) = 4*d(p) + j(p). Let z(q) = 9*q + 2. Let v(n) = 5*x(n) - 4*z(n). Differentiate v(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 2\/67891  (b) 1\/4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**5\/2 - 58*g**4 - 2335*g**3\/2 - 2140*g**2 + 52738*g - 86632 = 0.\nAnswer: -91, -17, -14, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*p + 0 + 1 + (-3 + 3 - 2*p)*(-1 - 1 + 0) to r + m*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w - 1. Let y be j(-3). Let o be 2\/y - (-7)\/(-42). What is the closest to -1 in 2, -1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**4 + 0*i**4 + 3*i**4 + (2*i**2 - 4*i**2 - 4*i**2)*(i**2 - i**2 - 2*i**2) - 3*i**4 + 28 - 28 - 18*i**4 - 23*i**2 + 23*i**2)*(-4*i + 4*i + i).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -29.9?\nAnswer: 14.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -54*i**3 - 5*i**2 - 5*i - 5. Determine f(-2).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d + 13*d = 80 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 19577300 divided by -4894325\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 728357508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -575776833*f**3 + 336056041?\nAnswer: -1727330499*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008184932 rounded to seven dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.2105  (b) 3  (c) 1\/10  (d) -1  (e) 8  (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -405.2340222 + 200609.0721222. Let b = v - 200213. Let k = 9.2 + b. Round k to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270 divided by -270.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*j**5 - 4416*j**4 - 175317*j**3 - 937386*j**2 + 45496080*j - 8239968 = 0. Calculate j.\nAnswer: -51, -44, 2\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 54\/18 - 10\/2. Let z be 0\/h*(-11 - -12). Let o(j) = -j**3 - 4*j**2 + j - 6. Let f be o(-5). Solve 3*i = -w + f, 2*i + z*w = 3*w + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6 - (4 - 2)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -630 by -10.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 8*v**2 - 829*v - 828. Give b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2181 = -5*g - 16146, 13968 = 4*a - 4*g. What is the greatest common divisor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 58*f**2. Let z(v) = -v**2 + 6*v + 465. Calculate z(k(g)).\nAnswer: -3364*g**4 + 348*g**2 + 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1069 divided by -1069.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**5 - t**5 + t**5 + (t**5 + 3 - 3)*(-5 - 2 + 5) + 81*t - 182*t**5 + 180*t**5 + 56*t.\nAnswer: -3*t**5 + 137*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0.6805, 0.1, 0.4, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-14))\/2*28\/36\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 408 or 33599?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 1, -30, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13600000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 greater than or equal to -11.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51*s - 2 + 51 + 49 + 13*s - 15 with respect to s.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 3*o = 42. Let x = o + -10. Let n be (-2)\/(-14)*(((-462)\/(-7))\/6 + -12). Sort n, -2\/7, x.\nAnswer: -2\/7, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from noojonojniinninooi. Give prob of sequence nn.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 259036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24\/28)\/(3\/(-42)*2). Let o be y\/12 - (-114)\/4. Let k = o - -30. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*c**2 - 10*c + 20*c - 10*c.\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 134925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2)*(b\/(b*b**(-5\/6)))\/b)**(-19\/2)\/(b*b\/(b**1*b)*b*(b\/(b**4*b*b))\/b*b**(-2\/13)*b**(1\/3)\/b) assuming b is positive.\nAnswer: b**(69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 1220625360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 11:00 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qmq when three letters picked without replacement from mmmmbqbmmbbmb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -13*s**2 - 6378*s - 44713. Determine p(-7).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 15\/(-9))\/(25232\/(-160854))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7638, 7636, 7634, 7632, 7630, 7628?\n\"Answer: -2*a + 7640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -942*t**3 - 8217*t**2 + 90384*t - 43020 = 0. What is t?\nAnswer: -2390\/157, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 12 = 4*a - 0*a, 2*j = 4*a + 12. Suppose j = 3*i - 0*i - 3*s - 15, -19 = -2*i + 5*s. What is the highest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.37 - -4.63. Sort 0, m, 8, 0.1.\nAnswer: 0, 0.1, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 99647\/7 - 14235. Let l = -17 + 9. Sort r, l, -1 in increasing order.\nAnswer: l, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 2. Suppose 5*v - 15 = -t + 51, 2*t = m*v - 50. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86043303.\nAnswer: 3, 1062263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 59*a - 56*a + 34 = -5*f, 3*a + 2*f + 19 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of 49*y**5 - 791*y**4\/4 + 218*y**3 - 50*y**2 - 8*y + 292. Suppose c(k) = 0. What is k?\nAnswer: -2\/35, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(3\/(-2)))\/((-49)\/294)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.2*-36068.\nAnswer: 115417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, h: 5, t: 3, z: 3, j: 3}. Give prob of sequence jtl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 1.1467.\nAnswer: 1.1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 2*v - 3. What is m(6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -2*a**7\/147 - 8*a**6\/35 - 22*a**5\/35 + 4*a**4 - 14*a**3\/3 - 2*a + 308. Factor m(h).\nAnswer: -4*h*(h - 1)**2*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, -0.637, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 229 + -228.7. Which is the nearest to -2?  (a) 5  (b) s  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/140 + 284\/(-4970).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2. Let m(d) = d**2 + 2*d. Let o(a) = 4*a**2 + 7*a. Let l(s) = -7*m(s) + 2*o(s). What is l(r(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:25 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmmb when four letters picked without replacement from {m: 7, b: 4, z: 2}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -222760 divided by -39\nAnswer: 222760\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 13*g**2 + 44*g + 19. Let j be v(-7). Let f(x) = -2*x - 5. Let o(n) = -n - 1. Calculate j*o(c) - f(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 6*q**2 - 370*q - 2169. Give m(-11).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 56118793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 10*i**2 + 12*i - 8. What is the remainder when 11 is divided by d(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 223?  (a) -159994  (b) 4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195113008?\nAnswer: 2, 31, 393373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -122.285 + 122. Let u = 7.165 + j. Let o = -7 + u. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -13*l**2 - 3. Let f = 2033 + -2036. Let p(k) = 455*k**2 + 104. Calculate f*p(g) - 104*d(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 9*d**2 - 4*d + 1. Suppose 0 = -5*l + 3*f - 38, 0 = -3*l + 2*f - 9 - 14. Is t(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -3\/2, 4, -1.5733.\nAnswer: -1.5733, -3\/2, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*n - 8 = 0, -2322 = -2*f + 4*n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-8)*(-384)\/672?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 91 = -879. Suppose 2*g + 4*t - 391 = 5*g, 0 = 3*t - 12. Let s = g - n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1333010102 (base 4) to base 3.\nAnswer: -222102221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1 + sqrt(1100)*1*-3) + ((sqrt(110)*-2*1)\/sqrt(10) - sqrt(44)\/(2*sqrt(100))))**2.\nAnswer: 1242*sqrt(11)\/5 + 4242451\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3356064, 3356079, 3356102, 3356133, 3356172, 3356219, 3356274?\nAnswer: 3356337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.329 - -1.229. Which is the third biggest value?  (a) i  (b) 2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -19 + 17 + 9 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121 and 1427034796?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.173016 hours to days.\nAnswer: 0.382209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -687850 (base 13) to base 12.\nAnswer: -9b31aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*x + 5*x + 7*x**2)*(-2*x**2 + 0 - 2 + 0 + 3*x) + 3*x**3 - 3*x**3 + 4*x**4 to the form o*x**3 + v*x**4 + l + z*x + f*x**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11152 and 3526.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 600 = u. Is 121 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**2 - 91*z - 473. What is the remainder when 2935 is divided by w(-39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.5  (c) 6.9  (d) 14\/5  (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*2*179)\/(14\/(-35)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 960367*z**2 - 960367*z**2 - 58 + 2*z**3.\nAnswer: 2*z**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*s = -57*s - 3320. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -1. Let b be 0\/r - (-1 - -1). Let l be 4*3\/36*3. Solve -4*t - s + 7 = b, s = -l + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 - -0.1. Let i = 8121 - 8120. What is the second biggest value in i, -11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 43 - 223 = 0. Suppose t - 125 + p = 0. Suppose 68 = 4*n + 2*i, -4*i = 8*n - 7*n + 4. Calculate the greatest common divisor of t and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.06 + 2.06. Let v = f + -3. Let m = -7.5 - -7. What is the nearest to v in -1, 1\/2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 11:53 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 6*f + 2*o - 395, -3*o - 316 = -4*f. Let a = 2 + f. Suppose p - 2*r = a, -2*p + 186 = -0*p + 2*r. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t + 0*t + t)*(-t + 0*t - t) + (2*t + t - 5*t)*(16*t + 7*t - 25*t) in the form s*t**2 + v*t + b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.48 + 1.092. Round k to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-24)*12\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 367 a factor of 44918598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 7*o**5 - 44*o**4 + 33*o**3 + 64*o**2 - 20*o = 0.\nAnswer: -1, 0, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v**2 - 10*v**2 + 1 + 7*v**2 to u*v + p*v**2 + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 18 = -y, -6*y = -3*m - 2*y - 23. Let g = 0 + -0.5. What is the third biggest value in g, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 + (-8 - (54 - 9)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfywwwf. What is prob of picking 1 f and 1 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12\/7?  (a) -1  (b) 10487  (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 794 + (-15 + -3)\/(-1). What is the highest common divisor of 700 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 2*l - 11 = -4, 2*i + 2*l - 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2607 from 0.1.\nAnswer: -0.1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of 3*l**3\/2 - 3*l**2 + l + 1. Let p(q) = 8*q - 5. Give 4*p(d) - 3*v(d).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -338 - -333. Let x be 3*(-6 - q) + (-10)\/(-2). Sort x, 1, 11, 7.\nAnswer: 1, x, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-225 + 32*r + 45*r + 226)*(-3*r**4 + r**3 - r**3).\nAnswer: -231*r**5 - 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -4. Suppose -5*g + 18 = t, -4*g + s*t = g. Suppose -8 = g*h - 20. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 4046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 139 (base 16) to base 6.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**3 + 3*v**4 + v**3 + (-2*v + v + 2*v)*(3*v**3 - 5*v**3 + 5*v**3) + (v**2 - 2*v**2 + 3*v**2)*(-1 + 1 + 2*v**2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351233097?\nAnswer: 3, 151, 775349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + 6*(sqrt(147) + -4))**2 - -3*sqrt(147)*3.\nAnswer: -2289*sqrt(3) + 7779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -15. Let p be ((-14)\/14)\/(b\/8). Let l = 0.44 + -0.4. What is the third biggest value in 4, l, p, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80053.\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/((-12)\/(-4)))\/(2414\/(-82076))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-184230)\/(-177021) - 4\/34)*(-351)\/(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -283 times -0.022\nAnswer: 6.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 526 = -b + 547, 4*u - 5*b = 40. Let y = -28 - -27.7. Let p = 3 + -5. What is the smallest value in p, y, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 o, and 1 g when four letters picked without replacement from {m: 2, r: 8, g: 1, o: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -10*y**6\/3 + 28*y**5\/5 + 8*y**4 - 16*y**3\/3 + 4. Solve h(d) = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 - m**3 - 2*m**2)*(3*m + 0*m - 10*m).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.5 and 0.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 698, 1396, 2092, 2786?\n\"Answer: -z**2 + 701*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 1894 = 5*l - l, 4*u + 4*l - 2516 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 399 * -0.22961.\nAnswer: -91.61439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u. Let m(w) = 3*w. Let f(a) = 3*m(a) - 5*r(a). Let g(l) = 9*l**2. Give f(g(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*n = 5*h - 44*n - 92497, -3*h - n = -55505. List the prime factors of h.\nAnswer: 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 + (15 - 20 - 2 - 0 - 9)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -13*z**3 - 19*z**2 + 37*z - 37. Let k(n) = 16*n**3 + 20*n**2 - 48*n + 38. Let h(m) = -5*b(m) - 4*k(m). Give h(-15).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 98366.21 and -2?\nAnswer: -196732.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10970 minus -1336571127?\nAnswer: 1336582097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -52 + 61. Let y(m) = 9*m**2 + 16 - q - 7. Let t(d) = -d. Calculate t(y(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*g + 11, 2*h - 5*g - 19 = 0. Sort h, 5\/99, -5.\nAnswer: -5, 5\/99, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from rfrftjjrfjadjtj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77646 = -14*i + 476*i + 63786 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53392)\/(-15792) + 2\/7 + (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -279.5 - -279. Sort -3, 2\/15, a in descending order.\nAnswer: 2\/15, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23*l + 257*l**2 - 143*l**2 - 141*l**2 + 16 + 22*l)*(2 + l - 2) in the form d*l + n*l**3 + b*l**2 + x and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 8 - 8*n - 4.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}