{"text":"Question: Let f(b) = 3 + 8*b - 2*b**2 - 7 - 5*b - b**3 - 2*b. Let d be f(-3). Suppose -d*h - 69 = -2*r + h, -3*r - 2*h = -97. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*j**2 - 4457 - 6609 - 48 + 13*j**2 + 2*j.\nAnswer: j**2 + 2*j - 11114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s**3 - 26*s**2\/3 + 52*s\/3 - 8 = 0. What is s?\nAnswer: 2\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 102636553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/2 + -2 + 38\/(-4). Sort -2, o, -3, 4.\nAnswer: o, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19457259 to the power of 1\/2, to the nearest integer?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 15442 (base 7) to base 9\nAnswer: 5854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -897 by 415.\nAnswer: -897\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58096336 and 1929?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 19755 - 19755 + 2*f. Let o(y) = -7*y + 83. Determine o(b(k)).\nAnswer: -14*k + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23831 + 23845. Suppose 4 = -w - 2. Calculate the remainder when (-1 + 34\/w)*-6 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17*27*(-23)\/(-621)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) + -5)*-3)**2 + -2*(4 + sqrt(2057) + sqrt(2057)).\nAnswer: -1034*sqrt(17) + 18730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -38*o**3 - 113*o**2 + 11. Let s(d) = 13*d**3 + 38*d**2 - 4. Let n(j) = -4*a(j) - 11*s(j). What is the third derivative of n(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/24*(-92 - -96)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/480 and -179\/3780.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1025 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2824770?\nAnswer: 2, 3, 5, 13, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-9\/8))\/((c\/c**(-2\/51))\/c)*c*c**35*c*c**(-9\/5) assuming c is positive.\nAnswer: c**(71473\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 698*a + 778*a + 2520 = 1546*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12\/7?  (a) 5  (b) -0.4  (c) 4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 11\/2  (b) -0.2  (c) 852  (d) -62  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + 7*f**2 + 3. Suppose 0 = z + 1 + 6. Let l be v(z). Suppose l*t - 55 = 2*t. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 2\/3  (b) -0.1  (c) 1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 5. Let s(t) = 9. Let u be 6\/((-12)\/8 + 3). Let m(x) = 5. Let z(h) = u*s(h) - 7*m(h). Calculate 3*v(f) - 15*z(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -116, 2, 69 in decreasing order.\nAnswer: 69, 2, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -36 - -22. Let f(g) = g + 1. Let n(j) = 325*j - 40. Let q(v) = 20*f(v) + n(v). Let r be q(s). What is r rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 27  (b) 0.2  (c) 0.074  (d) 1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 26\/8 - ((-3)\/(-12) - 1). Solve -2*k - b - 5 + 3 = 0, -o*b = k + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6191214 divided by -6.\nAnswer: -1031869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 6*f**2 - 7*f + 1. Give g(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 637.6742 kilometers to centimeters.\nAnswer: 63767420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -104341 and 0.3?\nAnswer: 104341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -459, -1129, -1787, -2427, -3043, -3629?\nAnswer: -4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 645 = -2*m - 4*x, -m + 4*x + 685 = 0. Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**3 + 3 - 3 + (0 + 3 - 5)*(-h**3 - 2*h + 2*h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/144 and -187\/15030?\nAnswer: 120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 81 = -5*y - 448, 161 = -2*a + 5*y. Let j = a + -28. Let l = 215 - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c + 6. Let i be a(4). Let n be (-10175)\/(-77) + i\/(-14). Suppose v + n = 7*v. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 3)*(0*w**4 + w**4 - 2*w**4) - 2240*w**4 + 6523 - 6523 to the form h*w**4 + l*w**2 + d + j*w**3 + m*w and give h.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*z + 6*z + 0*z)*(35 + 1 + 17) + (-4 + 2 + 0)*(3 - 3 - z))*(-2 + 2 + 1) in the form l + u*z and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/3, -1, -1.3 in ascending order.\nAnswer: -3, -1.3, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, -259 in decreasing order.\nAnswer: 1, -6, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2924*p**2 + 1443*p**2 + 1461*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 44 = 6*f. Let b(c) = 29*c + 16. Is b(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1474\/(-402) + (-78)\/(-9). Solve 5*f = -0*i - 4*i + 23, 0 = z*f - 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 97 = 3*q - 2*m, 3*m = 3*q - 99. Suppose -5*h - q = -v - 3*v, 4*h + 25 = 3*v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1382209289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*z + 6. Suppose -450006 = -0*f + f - z*p, 2*f - p + 900003 = 0. What is f rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b**2. Let l(y) = -8*y - 22*y - 3*y + 8*y. Give j(l(m)).\nAnswer: 2500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 6:53 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 1 = i, 14*z - 2 = -i + 16*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 5*d - 7, -d - 3 = -5*f + 4. Suppose 53935*v - 53904*v = 62. Solve f*g + 3 = -v*m + 3*g, -4*g = -20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21687.000009873 + -21687. What is o rounded to seven decimal places?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001126743592 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 307298 is divided by 3532?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s - 93*s**2 - 150*s**2 + 9*s**2.\nAnswer: -234*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28509 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3732 + 4104. What is the least common multiple of 558 and f?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250015 less than -1560?\nAnswer: -251575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.3 + 0.22. Let f = 0.08 + j. Let d = -944 - -959. Which is the closest to f?  (a) d  (b) 0.4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 2*f + c + 3, -3*f + 9 = -3*c. Let x(p) be the third derivative of 1\/3*p**3 - 1\/30*p**5 + 0*p - p**2 + 0 + f*p**4. Differentiate x(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19895.\nAnswer: 5, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34111416 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -28*i**5\/5 + 7*i**4\/6 + 14*i**3\/3 + 816*i**2. Let t(k) = 61*k**2 - 5*k - 5. What is -5*l(g) - 28*t(g)?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -9977 (base 10) in base 3?\nAnswer: -111200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3922\/11 + -356. What is the second biggest value in 4, n, -4, -14\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 5*x + 21 = 0, -21 = -5*r - 5*x + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f\/(f**(-2)*f))\/f)\/f)**(-16))**(-1\/3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 5*s**2 - 57 + 5*s**2 - 66 - s**3 - 61 + 192. Let g(m) = m**3 - 7*m**2 - 5. Determine 8*g(l) + 5*n(l).\nAnswer: 3*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13 - i**3 - i**2 - 13.\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 34915 or 2\/7?\nAnswer: 34915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a + 43. Suppose 3*g = 14*g + 77. Let t be o(g). Solve 3*q = 8*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1541*f - 1574*f - 1 + 1.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2806 + 22*y - 2825 + 8450 - 20*y - 2819.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**7*i**(-10))\/(i**(1\/5))**(8\/3) assuming i is positive.\nAnswer: i**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4038 and 493982?\nAnswer: 1481946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 3. Let u be (y\/5)\/((-2)\/(-10)). Is (-3)\/(-1*u\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(1\/3)*t))**46)**(-30) assuming t is positive.\nAnswer: t**1840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -10*h**3 - 7*h**2 + h - 6. Let d(o) be the third derivative of o**6\/40 + o**5\/30 + o**3\/3 - 19*o**2. Give -7*d(j) - 2*n(j).\nAnswer: -j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6323 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9 from 2619.37.\nAnswer: 2628.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -37727683 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/5)\/(-2)*-3. Let b = 2371 + -2369. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 791 + -788. What is the third derivative of f*g**2 + 2*g**5 + 27*g**6 - 4*g**2 - 32*g + 17*g**6 - 6*g + 2*g wrt g?\nAnswer: 5280*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4\/4 + 5*m**3\/4 + 3*m**2\/4 - 17*m\/4 + 5\/2.\nAnswer: -(m - 5)*(m - 1)**2*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13473328.\nAnswer: 2, 11, 37, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 0.1, -114?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 14 + 1. Solve -k*v + 4 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2783, -2766, -2731, -2678, -2607, -2518, -2411?\n\"Answer: 9*y**2 - 10*y - 2782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0814 - 25?\nAnswer: -25.0814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t - t + 0*t + (0 + 0 + 1)*(2*t - 2*t + 2*t) - 4*t + 4*t - t)*(-5 + 1 + 3) to y*t + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 0*j - 16 = 0. Suppose 7 = -5*u - 13, -j*u - 848 = -4*w. Suppose 4*m - 100 = w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 7, z: 12}. Give prob of picking 1 z and 3 t.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2179*g**3 - 5925*g - 1?\nAnswer: -13074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2659568543 - -2659568508.99999934. Let d = g - -34. What is d rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*r - 31 + 33, 3*r + 14 = -4*w. Which is the smallest value?  (a) 1  (b) 164  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 16 = 0, n - 80 = -4*x + 3*n. Suppose 2*j = -0*j + 5*k - x, j - 5 = -k. Let v be 8 + 0\/(j - 0). Calculate the highest common factor of v and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.366729 - -0.32368. Round y to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/4 and 3\/72*3 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -114, -204, -296?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -12*j**2 + 7495*j + 37461. What is k(-5)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 4490\/4831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 325313 (base 6) in base 8?\nAnswer: 64755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -648*j**2*o**3 - 1107*j**2*o**2 - 19025*j*o**3 - 7*j*o**2 wrt j.\nAnswer: -1296*o**3 - 2214*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/55*(-3795)\/46*12\/190?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2*s - 59 + 155 = 0, 2*g + 3*s - 60 = 0. Solve g = 13*b - 57 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/((-9)\/2) - 680\/(-1326). Put d, 0.3, -1, -4 in decreasing order.\nAnswer: 0.3, d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/7271 and 8\/671?\nAnswer: 443531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 r when three letters picked without replacement from lllllllrrllllllllll?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6587 - -197509\/30. Let v = 403255\/178374 - -5\/4247. What is the common denominator of v and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s - 3. Suppose 0*t - 5*t - 10 = 0. Let c be ((-15)\/(-6))\/((-1)\/t). What is h(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84218 is divided by 16841.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 16494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (5 - 10 - -13) + -8 + -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3672*p**2 + 136*p + 136. Let f(i) = 272*i**2 - 10*i - 10. Let a(m) = -68*f(m) - 5*w(m). Let q(c) = -2*c. Give a(q(k)).\nAnswer: -544*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -20 - 7. Suppose -3*h = 2*y + 3 + 1, -d*h = 12. Suppose -2*z + 5*p + 362 = 0, -y*z - p + 878 = z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - 10 - 1 - (1 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 43240 and 43240.\nAnswer: 43240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 3*k - 7 + 16, -7*u - 155*k + 75*k = -81*k - 49 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -36 or -101?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -295653*11\nAnswer: -3252183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1886 and -4.25?\nAnswer: -8015.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 0 + 1 + -1. Let o = k - 0. Let y(x) = -5*x**3 + x**2 - x + 1. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 702.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 4. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r + 14. Let w be b(-2). Let k(p) = -p**2 + 12*p + 16. Let i be k(11). Calculate the greatest common factor of w and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, -6, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 56\/(-144)*(-190)\/(-532)*12\/(-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -350*s**5 - 305*s**5 + 204*s**5 + (5*s**2 - 5*s**2 - s**3)*(3*s**2 - 2*s**2 - 2*s**2) + 0*s**4 - 2*s**5 + 0*s**4 + 2*s - 2*s - s**5.\nAnswer: -453*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -68267 divided by 4?\nAnswer: -68267\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 82 and 1819826?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103037 is divided by 838?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 154358 + 35631*k - 154358 in the form q + d*k and give d.\nAnswer: 35631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 66*y + 64*y + 15*y + 54*y to the form l*y + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/((-3)\/(9\/(-6))). Let y = w - 1. Suppose -4*n - y*s = 8, -5*n + 2*s + 40 = -3*s. Calculate the highest common divisor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2338 or 2369?\nAnswer: 2338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 4*q - 1. Let l(u) = -8*u**3 + 28*u**2 + 28*u - 8. Let f(r) = 20*j(r) - 3*l(r). Let f(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -3. Let q be (-202)\/(-18) - h\/(-18). Solve q - 36 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - u + 2. Let z be c(-2). Let g = 537 - 668. Let k = g - -131. What is the nearest to k in z, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -s*t*w**2 + 28*s*w**3 + 3669*t*w**3 + 295*t*w**2 wrt w.\nAnswer: 168*s + 22014*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -271, -271, -265, -247, -211, -151?\n\"Answer: b**3 - 3*b**2 + 2*b - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p - p - 54*p**2 - 45*p**2.\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k - 8. Let i be p(6). Suppose -z + 3 = 1, -4*o = z - 178. Suppose u - 6*u = 5, 3*c - 2*u = o. Solve -i + c = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**2 - 9231*l + 27720 = 0. Calculate l.\nAnswer: -3080, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*h = 26*h - n + 622, 942 = -3*h - 3*n. Which is bigger: h or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1 - (-2 + (-6210)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2854, -340, 106 in decreasing order.\nAnswer: 106, -340, -2854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (30\/4)\/(-5)*4312\/(-33). Calculate the greatest common factor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36503.\nAnswer: 173, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 43957 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 21\/28) + 13\/28. What is the closest to -0.33 in -2, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*q - 336 = 48*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10254 + -1?\nAnswer: 10253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**5\/9 - 314*g**4\/9 + 24425*g**3\/9 - 24112*g**2\/9 = 0.\nAnswer: 0, 1, 137, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 9*k**2 - 25*k + 11. What is h(-11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-21)\/((-168)\/(-80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9434, -9430, -9424, -9416, -9406, -9394?\nAnswer: -9380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-58)\/203 - (2\/(-7) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1210 - -1043?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 132.2*-42210\nAnswer: -5580162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 8:22 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - (sqrt(468) - (0 + (1*sqrt(468) + sqrt(468))**2)) - sqrt(468)) + 1.\nAnswer: -6*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28711162547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 968063 is divided by 138291.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.3 - -25.3. What is the biggest value in 1, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01156 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5783*q + 385*q**2 + 5127*q - 5951405 - 134*q**2 - 125*q**2 - 131*q**2 = 0 for q.\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.8897 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d - 52. Let x be k(-10). What is the greatest common factor of x and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2132)\/(-287))\/26*35\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 658500*s - 658 = 658453*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**6\/h))\/(h\/(h\/(h*h\/(h*(h\/(h*h\/(h\/((h*h**(1\/11)*h*h)\/h)*h*h)))\/h*h))))*h**(-1\/9)\/(h*h**4) assuming h is positive.\nAnswer: h**(-1010\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - -16) + (-5 - (-11 - 0)) - -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - 7*a + 6. Let v be (-9)\/(-15)*5 + 0. Suppose 24 = -v*m + 3*y - 3, -4*m + y - 30 = 0. Let d be n(m). Solve -d*r = -4*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0271177385 rounded to five decimal places?\nAnswer: 0.02712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5146 and 0.2.\nAnswer: 1029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, -3839, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16*b**2*x**3 + 6602*b*o**2*x**2 - 34*o**2*x**3 - o**2*x - 2*o*x**2 - 10*x**3 + 1 wrt b.\nAnswer: -32*b*x**3 + 6602*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 divided by 6?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d**(-21)\/d*d))\/d)\/(d\/(d\/d**(2\/53)*d)*d))\/(d**(-27)\/d**(-3\/35)) assuming d is positive.\nAnswer: d**(88811\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -cd?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45\/7 - -239\/35. Suppose -2*x + 6 = 2. Sort i, 5, 1, x.\nAnswer: i, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -270376*b - 1892639. Calculate j(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9090 is divided by 326.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 110110010 (base 2) to base 11\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*o - 3*o - 6*o + o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 - 29.4. Let j = 0.6 - g. Which is the biggest value?  (a) j  (b) 0.1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -126088\/13 or -9699?\nAnswer: -126088\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 763 is divided by (516\/(-2))\/(-2)*(-3 + 209\/33)?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**2)**6)**(-33))**(-13\/5))**(-37) assuming a is positive.\nAnswer: a**(-190476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4*-3*(-3)\/162)\/((-880)\/1980). Solve 18*n + t*n**2 + 162 = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-7 + -2) - (-22 + 12 + 3 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -1) + -12 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15\/((-15)\/(-5)) + 7. Let w be (2 + -2)\/(s\/6). Which is smaller: w or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/3576 and -113\/56?\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14523706 by 48.\nAnswer: -7261853\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 0. Suppose -2*b + 0*b = -4. Let d(w) = 5*w**3 - 3*w - 1. Let l(p) = 4*p**3 - 2*p. Let c(n) = b*d(n) + k*l(n). Differentiate c(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by -1*2*(-90)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 3*q + 4*l, 0 = q - 4*l - 0*l + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 6 = -4*w, w + 0*x = x - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k**3 - 548*k**2 + 2351*k - 380. Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -223500 (base 6) in base 8?\nAnswer: -45034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 410*i**2 + 114*i**2 + 55*i**2 + 639*i**2.\nAnswer: 1218*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.13, 2, -0.2, -3\/4 in increasing order.\nAnswer: -3\/4, -0.2, -0.13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*h - 4*g - 17, -4*h - 10 = 2*g. Suppose 2*k = 8, 0*o + 5*o + 5*k - 5 = h. Which is the biggest value?  (a) 2\/3  (b) o  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84.03908cm to nanometers.\nAnswer: 840390800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 6*u. Suppose 0 = 3*g - 7*g. Let f = g + -2. Let p(x) = -x**3 - 2*x**2 - 3*x - 1. Let n be p(f). What is w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10 - 24\/(-10). What is the third derivative of -2*h**4 + h**m - 14 + 14 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2585981.\nAnswer: 2585981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 471621 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 58*n**2 + 291*n + 396 - 53*n**2 + 637*n**3 + 3000 - 291*n wrt n.\nAnswer: 1911*n**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270687.8 centimeters in micrometers?\nAnswer: 2706878000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -24 + 26*u - 14*u + 61*u - 5*u**2. What is the remainder when 53 is divided by f(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 3*v - 12 - 2 = 0, 0 = -3*v - 12. Let u(o) = o + 1. Let s(m) = -7*m - 8. Give q*s(z) + 5*u(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84157 - 24090. Suppose 599933 + d = -3*m. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from uyyyuuyuuuyyyyyyk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 731000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -5*j**2 - 2*j + 1. Let m be b(1). Let o be ((9\/m)\/(-3))\/((-4)\/48). Let i be 1 + 2\/(-2)*3. Does i = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*x - 3*x - 7*x)*(-5 - 1 + 1) + 0 + 0 - 3*x + 2 - 6*x - 2)*(2*x**2 + 1 - 1).\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -186 divided by 127?\nAnswer: -186\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1402709 or -60316460\/43?\nAnswer: -1402709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5264 + -4475. What is the smallest common multiple of 18 and m?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 1:03 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 10 + 17. Suppose 2*g = g + q. What is the lowest common multiple of 7 and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 1350*u + 2. Let g(d) = d. Give g(o(n)).\nAnswer: -n**2 + 1350*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.92 and 29608574.6214?\nAnswer: 29608573.7014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8620.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 111334724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 334\/11*f + 6\/11*f**2 + 20 = 0. What is f?\nAnswer: -55, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1320056.083 to the nearest 10.\nAnswer: 1320060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o**3 - 34 - 4*o**3 - 2252*o - 25 + 2239*o.\nAnswer: 2*o**3 - 13*o - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 86984553.4 rounded to the nearest ten thousand?\nAnswer: 86980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6297 divided by -3.\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11012279321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2595*d**3*l - d**3 - 2*d**2 - 31*d*l - 2*d - 8 wrt d.\nAnswer: -15570*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -176d + -3?\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -79 + 54. Let r = 28 + f. Let j(p) be the first derivative of p**4\/4 - 2*p**3\/3 - 2*p**2 + p - 17. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 45 = -13*r + 93 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/6*((-1191)\/(-12) - 1). Suppose -5*o = -3*o - w. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17748 is divided by 60.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/7118540 and 59\/684475?\nAnswer: 35592700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 54 - 56 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.63 + -20.\nAnswer: -20.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(7\/2)\/z)\/z*z)**19*z**(-33)\/((z\/(z**(1\/2)\/z))\/z))**(1\/11) assuming z is positive.\nAnswer: z**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -21. Suppose 2*w = -w + 6. What is the third derivative of -16*t**2 - w*t**q + 2*t**6 - 7*t**6 wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -96220.8 to the nearest one hundred.\nAnswer: -96200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*o + 15 - 15)*(0 + 2 + 14) to c + b*o and give b.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(2187) + (0 + sqrt(2187))*-3)*6 + 2))**2.\nAnswer: -11664*sqrt(3) + 2834388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -62*k**3 - 7*k**2 - 14*k - 16. Let n be q(-2). Calculate the greatest common factor of 132 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 266*s**3 - 1590*s**2 - 49*s + 95. Give v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3357322 < 26858565\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85934, 85895, 85794, 85601, 85286, 84819?\nAnswer: 84170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3096507, -3096506, -3096505?\nAnswer: -3096504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, t: 1}. What is prob of sequence tq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5872 divided by 3.\nAnswer: 5872\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 - 6*v - 8. Let x be i(-4). Let b = -6 - x. Let u = b + 49. Sort -1, -3, u, -4.\nAnswer: u, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.1937 - 0.2\nAnswer: 5.9937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**1\/h*h)**48\/(h\/(h\/(h\/((h*(h**9\/h)\/h*h*h)\/h)))*(h*h**(-3))\/h))**(-8))**(-9\/7) assuming h is positive.\nAnswer: h**(4248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 2391 = 2*y - 2425, -9*y - l = -24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2797 - 2166 = -141*l - 28 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2224103 + -30?\nAnswer: 2224023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1 plus 0.12?\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -14*j**2 + 37*j - 6. What is the units digit of h(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 502, 0, 1, 4.\nAnswer: -1, 0, 1, 4, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 778145.4876 to the nearest 10.\nAnswer: 778150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64a (base 12) to base 10.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**3 - 4*b**2 + 3*b + 6. Let y(l) = 5*l**3 - 8*l**2 + 7*l + 13. Let q(j) = 7*m(j) - 3*y(j). Let s be q(-4). Sort -3, -5, s in decreasing order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1493906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of -f**4\/40 + f**3\/15 + 3*f**2\/20 + 13. Let p(a) = 0. Calculate a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 385 and 24640.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 43*s + 13819. Give a(-218).\nAnswer: 4445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/471894 and 101\/32172?\nAnswer: 2530295628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n + 54691 - 27344 - 27341.\nAnswer: 4*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 2*w + 80. Let n = w + 2. Let v = -1 + 3. What is the highest common divisor of n and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 156.54 and -1.4614.\nAnswer: 155.0786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/(-6))\/((-3)\/(-10)). Suppose -5*b - 4*m = -j, 5*m = -4*b + 3*m + 10. Solve -a = -b*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*x + 196*x**2 + 17*x - 10*x - 194*x**2 + 7*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + s**2 - s. Let t be z(0). Let g(j) = 3*j + 2. Let x be g(1). Suppose x*r - 2 - 8 = t. Solve -8 = r*c + 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 14, 3, -7, 18, -11 in decreasing order.\nAnswer: 18, 14, 3, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -11348.\nAnswer: -1134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28625 + 30449. What is the greatest common factor of 3876 and l?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 109 + -66. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(2*sqrt(7)) + -3.\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1696865566.\nAnswer: 2, 11, 19, 109, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.45 - -0.05. Let p = -21.6 - -21. What is the second biggest value in p, a, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-5*sqrt(195)\/sqrt(5))\/((sqrt(96)*-1 - sqrt(96))\/sqrt(8))*4.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((18 - 13) + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -2320111?\nAnswer: -2320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/27))\/(f**(1\/4)*f))\/(f**(8\/3)*f\/f**9) assuming f is positive.\nAnswer: f**(553\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*h**3 - 21*h**2 - 6882?\nAnswer: 30*h**2 - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggqbqggq. Give prob of sequence ggqq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*u = -9*u + 232 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -1 - (-7 - -9) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/647 - -656\/1941. Let c(j) be the first derivative of 0*j**2 - v*j**3 - 16 + 0*j. Let h(o) = o. Determine c(h(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1070 from -1353754310.\nAnswer: -1353753240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1925892 divided by -2631.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -131069 and -5.\nAnswer: -131074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/4  (b) -771  (c) 8  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 734975*-1.\nAnswer: -734975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 - 167*a + 167*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-9\/8)\/k**(4\/21))**(1\/46) assuming k is positive.\nAnswer: k**(-221\/7728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1892 and 94127?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2087504640.\nAnswer: 2, 3, 5, 13, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 455*s + 317. Let k(p) = -17*p. Give x(k(i)).\nAnswer: -7735*i + 317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + j + 3*i = 105, -240 = -5*j - 3*i. Suppose -4 = 3*p + 17. What is the common denominator of j and (-4)\/14 - 43\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7345727, -7345731, -7345735, -7345739, -7345743, -7345747?\nAnswer: -7345751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 * -30.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 2*k - 2023 + 2045 = 0, -3 + 9 = -4*k - 6 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**4\/4 - 2*g**3\/3 + 2*g**2 + 2*g + 7. Let h be n(-3). Let s(u) = -u**3 - u. Let r be s(h). Solve -5*a + r*a - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**0)**(-4\/3)\/(q\/q**(-4)*((q**(-15)\/q)\/q*q)\/q*q) assuming q is positive.\nAnswer: q**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43286833\/2675222 - -716\/7153. Let o = -424261\/37825 + -42\/2225. Let l = i + o. Calculate the common denominator of 103\/18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 972, 4396, 10104, 18096?\n\"Answer: 1142*g**2 - 2*g - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l + 8. Let t be n(6). Suppose -5*y + 7 - t = 0. Suppose 2*i + 5*u + 1 = 0, 0*i + 3*u + y = -i. Solve 5*m - 12 = i*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s = j - 259, -17*s + 16*s = -2*j - 31 - 27 + 4 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, 2\/19, 6680?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y. Let c(t) = -562*t + 271. Give c(j(g)).\nAnswer: -562*g + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 953694.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 18*d = 138, 36 = -2*t - 31*d + 35*d. Sort t, 233, 5, 6 in increasing order.\nAnswer: t, 5, 6, 233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.363339 - -0.063339. Let g = -577 + 294. Which is the second smallest value?  (a) 0  (b) d  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 292 + -294.51. Round z to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 8:16 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 4*a + 1 + a - 7 - 4*a to p*a + t and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112789735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2825 - -12?\nAnswer: -2813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m + 0*m - 3*m + (-3 + 1 - 2)*(0 - 3*m + 0))*(-2*m + m + 3*m)*(-73 + 70 - 330).\nAnswer: -8658*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13606 and 9714684.\nAnswer: 9714684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 divided by 16.\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -137 - (-138 + 127 + (15 - 30))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 4, 0.336, 0.3, -2\/11?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47386?\nAnswer: 2, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**3 + 892*f**2 - 107456*f + 2666160.\nAnswer: 4*(f - 46)**2*(f + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 34, 23, 12, 1, -10, -21?\n\"Answer: -11*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5165142986 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-8)\/12*(-44)\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1135\/686 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 59.08113 meters?\nAnswer: 59081.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 n when four letters picked without replacement from {v: 1, h: 1, g: 2, n: 3, y: 5, j: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - n = -4*n + 19, n + 0*n = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of -2*o**2 + 0 - 1\/24*o**4 + 0*o + 0*o**3. Let y(d) = 2*d. Calculate y(c(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2894159 bigger than -2894158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 904.2343 centuries?\nAnswer: 9042.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - 80. Which is the nearest to o?  (a) 2\/7  (b) 0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.9766153nm?\nAnswer: 0.0000000000009766153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7039.862684 rounded to zero dps?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 6*h**2 + 10*h + 49. Let f be l(8). Let k be (-9)\/(-19)*2\/(-6). Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4375 - 44500 = -25*a. Solve -a*g = -1948*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 25\/35 - 2\/(-7). Let o(x) = 3*x + 1. Let t be o(d). Let -4*n - 4*n**3 + 2*n**3 + 10*n**3 - t*n**2 = 0. Calculate n.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fzujwzjfjz. What is prob of picking 1 u, 2 j, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 7*d - 9. Let u be (29 + -3)\/(0 - d). What is the units digit of 91\/u*24\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*3055030.7\nAnswer: -12220122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) 0.073  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 526 is divided by 118?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11603344?\nAnswer: 2, 725209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25.22139705 + -1.8.\nAnswer: -27.02139705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 93531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-108)\/(-8) + 4 - 185\/(-74)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - t - 4*t = 0. Let k(z) be the first derivative of 0*z + t*z**2 + 3 - 2\/21*z**3 + 3\/14*z**4. Find l such that k(l) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 7:07 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40 + -109. Let r = 640 + -374. Let o = r + m. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - 1.5. Let f = -4.5 - b. Let p = 0 - -0.07. What is the biggest value in f, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 19*i + 2*i + 37*i + 14 - 9 - 14*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -0.01?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*y - 9*y**5 - 39*y - 117*y**3 + 5*y)*(2 - 1 + 1).\nAnswer: -18*y**5 - 234*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.147 + 13.347. Let h = 4.8 + n. Let w = 15.72 - h. What is w rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 521 + -521. Suppose 5*u - 4*k - 105 = m, 61 - 19 = 2*u + 3*k. Suppose 0*s - 2*s = -42. What is the greatest common divisor of u and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 6*q - 4. Let j be u(-2). Suppose 0 = j*y + 133694 + 298306. Round y to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of x**6\/72 + x**5\/6 + 5*x**4\/2 - 23*x. Let u(m) be the third derivative of y(m). What is the first derivative of u(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**3 - 166*h**2 - 6213*h + 88. Determine z(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 417*z - 1924. What are the prime factors of a(-159)?\nAnswer: 2, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 78.48473 meters?\nAnswer: 0.07848473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 368 + -2c?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -143304, -143305, -143306, -143307, -143308, -143309?\n\"Answer: -g - 143303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0 + (2 + 1 - 1)*(-4 + 1 + 4))*(5*a - a - a)*(349*a**2 - 277*a**2 - 1058*a**2).\nAnswer: -2958*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 1 + 0 + 212*x - 211*x. What is k(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3926100 by -115.\nAnswer: -34140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 8:57 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-61)\/(-427) + 2164\/(-7). Let r = m - -554. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -3*y - 11, -2*y + 15 = -5*y - 3*t. Let c be (4 - 8) + -50 + y + 1. Let u = 118 + c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -580, -1063, -1556, -2059, -2572, -3095?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 440050745 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 5*r**3\/3 + r**2\/2 - r - 2. Let k = 0 - -1. What is w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*f - 25, -4 - 21 = -5*f. Let u = -6 - -34. Let r = u - p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/11  (b) 0.022  (c) -2  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224818*w - 224817*w - 6 = -d + 3, 5*d = -2*w + 42 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 2. Let u = 11 + o. Solve 0 = -3*m + z - u, 3*z + 1 = -m + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 1560*r + 11265. Give j(-7).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 305336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3473 + 4370 = 28*a - 8285. Calculate the highest common divisor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1144 and 29276?\nAnswer: 644072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 + -4 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -0.0103  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -885.861 rounded to zero dps?\nAnswer: -886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199 = -466*g + 517 + 682 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-4)*14*19\/(-1995).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*k**2 + 4*k**2 - 2 - 1 + 6 wrt k?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 29c + 2?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -12221844, -12221845, -12221846, -12221847, -12221848?\n\"Answer: -q - 12221843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + -6 + 6 + -6 + 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2 + 193704*v - 1549696 = 0. What is v?\nAnswer: -193712, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 1. Let a = 16 + 2. Suppose a = -3*q + 15. Let y(d) = 14*d**2 - 3*d - 1. Let h(o) = q*w(o) - y(o). What is the second derivative of h(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -7*h**2. Suppose -19 = -3*o - 7. Let z(v) = -8*v**2 + 4*v. Let l(i) = -17*i**2 + 9*i. Let t(g) = o*l(g) - 9*z(g). Give f(t(y)).\nAnswer: -112*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 56 = -46. Suppose 56 - v = n. Suppose 19*c + n = 331. Solve -3*o + 2*o + 4*j = c, 4*o - 5*j + 16 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 167 = 17*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 50 + 20 = 0. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-99)*(-31)\/(1488\/(-36))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 - (1 + 0 - 18 - (-3344 + 3310)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 + 4*g - 1. Give v(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*t + 19 = 0, -t = 2*x - 6*t - 13. Let p be ((-297)\/(-18))\/(x\/(-2*1)). Calculate the greatest common factor of p and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t**2. Let w(f) be the second derivative of f**3\/6 + 829*f**2\/2 + 2865*f. What is w(p(i))?\nAnswer: -3*i**2 + 829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**3 - j**2 + 2*j - 1. Let h be g(0). Which is the nearest to -1?  (a) h  (b) -2\/3  (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1088*h**2 - 3 - 1085*h**2 + 2178*h**2 + 10*h + h**3. Calculate p(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*-3)\/sqrt(9) - (sqrt(76) + sqrt(19) + -2).\nAnswer: -6*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39005630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 127159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 277 + 23 = 0. Let o = -2659 + 2690. What is the remainder when j is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 8:41 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1614760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y**2 - 12*y. Let t(o) = -o**2 - o. Let u(m) = -m**3 - 10*m**2 - 5. Let r be u(-10). Let h(c) = r*t(c) + n(c). Determine h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11448 and 40459140.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 23, -2, 348 in decreasing order.\nAnswer: 348, 23, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (30\/(-120) + 6\/(-8))*1. Are h and 9\/107 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 3*p + 1, k + 10 = 4*p - 8*p. Let f be (-2)\/3 - 14\/(-3). Let l = f - k. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (-1*sqrt(171)*-4 - sqrt(171)))\/sqrt(9).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**3 + 364*n - 10*n**2 - 374*n - 13*n**3 - 2*n**3 - 10. Let p(j) = -6*j**3 - 3*j**2 - 3*j - 3. Calculate -10*p(x) + 3*r(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 241251495 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m. Let t(g) = 5087*g. Determine l(t(j)).\nAnswer: 5087*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 177876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 258 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.2 + 11. Put 1\/14, m, 2\/5 in ascending order.\nAnswer: m, 1\/14, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10*(-24)\/(-300))\/(2*3\/15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67\/20 + 883\/20. Let x = -50 + y. Which is the closest to 0.4?  (a) 0  (b) -2\/11  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {b: 6, r: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11583?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/4 + (2915\/(-308))\/(-53). Suppose 2*m + 18 - 30 = 0. Let r be ((-33)\/110)\/(m\/(-5)). Sort i, r, -1, 3 in descending order.\nAnswer: 3, r, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9408762 to the nearest integer?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -4.85. Let j = p + -7.15. Let z = 6.14 + j. Round z to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**8\/120960 + c**7\/15120 - c**5\/20 + c**2. Let y(j) be the third derivative of i(j). Solve y(n) = 0 for n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence thf when three letters picked without replacement from vvvbfstfshfvv.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -49*f**2 + 35*f**2 - 15*f**2 as c + u*f + w*f**2 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 11100110111100001110000?\nAnswer: -11100110111100001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -448*w**2 + 3472*w + 826. Determine u(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 7*x**2 + 7*x + 6. Let r be u(-6). Let b be (r*(-2)\/(-4))\/2. Suppose 75 = 5*w - b*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 0, -1\/50, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1351)\/5 + 3\/15. Let q be 3 + (-172)\/10*b\/6. Find the second derivative of q - 10*w - 777 - 5*w**4 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 26 = 2*f + a, 3*f - 3*a - 30 = 0. Calculate the lowest common multiple of 11 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 15475?\nAnswer: 15478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31212*i*x**2 + i*x + 2*i + 30*x**2 + 9*x + 152 wrt x?\nAnswer: 62424*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 642128655 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 165404551 (base 7) to base 15\nAnswer: ee6d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-4)\/(-14))\/((-144)\/580) and (123\/4 + -2)*132\/770?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.47 times 25?\nAnswer: 11.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 2\/1198213, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*y**2 - 6*y**2 - 9*y**2 - 9*y**2 + 5*y**2 + 604*y**3 - 632*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -2 - 2*p + p**3 - 1\/5*p**5 + 1\/2*p**2 - 1\/4*p**4. Factor t(l).\nAnswer: -(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*o + 8 - 81 + 13.\nAnswer: -42*o - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + j = n + 12, -3*n - 3*j = 0. Suppose 3*v - 5*y = 32, -n - 1 = y. What is the remainder when 7 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*q + 80*q - 774 = -234. Let x(i) = -i**3 - 4*i**2 + 2*i - 7. Let t be x(-5). Let f be (-4)\/t*(0 - 2). Solve -q = h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 9880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-6) - (-3 - -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + 0. Let b = f - 20. Let m be 1 + 2 + (1 - 1). Is m != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31743933*0.5.\nAnswer: 15871966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 431191, 431193, 431205, 431233, 431283, 431361?\nAnswer: 431473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -13. Let u = -15 - -18. Solve 0*y - 5*y - u*t + d = 0, 5*y - 2*t = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2953?\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by -2968.\nAnswer: -13\/1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53396443.\nAnswer: 911, 58613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/750 and -57\/2750?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 36. Suppose s = 2 + 18. Find the common denominator of (g + -32)\/(-5 + (0 - -12)) and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -722 + 741. Suppose 37*i - 21*i = r*i. Let d = -5 - -3. What is the fourth biggest value in 5, 3, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 261521 is divided by 159?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -7*p - 13. Let s be q(-5). Let l(i) = -i**3 - 7*i**2 + 3*i - 9. Let h be l(-8). Let k = h - s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-2\/19)\/((s\/(s\/s**(-4)))\/s)*((s**(2\/7)*s*s)\/s)\/(s\/(s*s**(1\/4)*s)) assuming s is positive.\nAnswer: s**(3953\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 12 = -11. Let g = 1 + x. Factor -31*n - 40*n**2 + 247*n - 144 - 12*n**2 - g*n + 4*n**3.\nAnswer: 4*(n - 6)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((-2*sqrt(4000))\/sqrt(10))\/(2*-4*sqrt(32)))**2.\nAnswer: -25*sqrt(2)\/4 + 825\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + 4*b - 527. Let t(i) = i - 8. Let m be t(7). Let s = -4 + m. What is r(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 29 = -13 - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-504)\/7 - 1*-7. Is (-56)\/(-10)*(1 + b\/(-10)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/135)\/((-1807)\/(-27105)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10844  (b) -1\/4  (c) 2\/15  (d) 0  (e) -0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1280 (base 10) to base 6.\nAnswer: 5532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 763 + 2079 = 0. Suppose 3*b - p = -q, 3*q + 221 = 3*b - 457. Calculate the greatest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52949 > 52949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 7*x**2 + x + 2. Let r(p) = 6*p**2 + 1. Let w be (1\/10 - 162\/120)\/(10\/(-32)). Determine w*r(f) - 3*i(f).\nAnswer: 3*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 158903486561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 36, -1\/2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 + 11*w**2 + 5*w + 3. Determine g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.0263 times 0.56\nAnswer: -0.014728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + 18. Let q(j) = 5*j**2 + 7*j - 3. Let x be q(3). Let p = 84 - x. What is the lowest common multiple of p and i?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by -81\nAnswer: 22\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 11.461\nAnswer: -5.7305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.6157 <= -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 less than 363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 15, -p = 4*z - 36 - 7. Let i(h) = -4*h**2 - 1 - 2*h**2 - h**3 - 2*h + h**2. What is the smallest common multiple of i(-5) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 60 = 2*h, -5*f + h + 180 = -4*h. Suppose 31 = s + 5*r, -s - 3*r - 10 + f = 0. What is the highest common divisor of s and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -761\/2750 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i - 4. Let c(o) = -o**2 - 11*o + 11. Let k be c(-11). Let z = 52 - 1. Calculate the remainder when z is divided by l(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*6\/150*-5*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*m - 35231 = 0, -j - 2*m + 17603 = -m. Suppose -12*c = -608 - j. What is c rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*r - 7 = -3, -r + 13 = 4*i. Suppose i*n - 3 = 3*d, 4*n - 2*d = 3*d + 9. Let s = -0.5 + 0.3. Is n bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 9*w**3 + w**2 - 2*w - 8. What is the tens digit of g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v\/(v*v\/(v**(-1\/2)\/v)*v))*v**(5\/3)\/v)**(2\/95)\/((v**(2\/7))**6\/(v\/(v\/(v\/v**(-1\/2))*v*v)*v**(-4\/3)*v*v)) assuming v is positive.\nAnswer: v**(-1165\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (80\/(-48))\/(10\/(-12)). Solve -22 = -c + 4*s, z*c + 0*s + 16 = -4*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1104\/(-161)*(-119)\/(-34) + (-12)\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/9*(-7 + -2). Calculate the common denominator of (82\/33)\/(h\/9) and (1\/6)\/(1\/4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6 - 56)*(-1 + 5 - 2)*(2*n**4 + 1 - 1).\nAnswer: -188*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3471 - -3466. Suppose 3*l + 0*l + 7 = n, 3*n = 3*l + 9. Sort l, s, -11 in decreasing order.\nAnswer: l, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -900*u + 1127 = 11027 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70892585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7099.\nAnswer: 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 420204 (base 5) in base 9?\nAnswer: 20837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of -1063*z**5\/60 - 43*z**4\/3 + 72*z**2. What is the second derivative of x(m) wrt m?\nAnswer: -2126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*(-28)\/147)\/(24\/420).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i, 0*q + 3*q - 32 = -q + 7*i - 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6449 is divided by 907?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 + -54. Suppose p + 4*i - 169 = b, -5*i - 12 = -2*i. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -635, -12 in ascending order.\nAnswer: -635, -12, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 3)*(6*g + 0*g + 0*g - g + 0*g + 4*g + (1 + 1 - 3)*(0 + 0 + g)) + (-5 + 1 + 3)*(-1357 + 1357 - 231*g).\nAnswer: 239*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18.237 and 83?\nAnswer: 1513.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86 and 1049200.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1005665419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.52  (b) -1  (c) -0.5  (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -507ae (base 16) to base 15\nAnswer: -67a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21)\/(-4) + (-4)\/(-48)*-3. Suppose f + 64 = 4*f - q*m, -2*f + 51 = -5*m. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 52?  (a) 2  (b) 0.1  (c) -0.1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 4:58 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37129689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4827 is divided by 345?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**3 - 108 - 2*w**3 + 97 + 7 + 2*w**3 - 7 + (3 - w**2 - 3)*(-8 - 2*w + 8) to the form d*w + i*w**2 + q + n*w**3 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1560, -1023, -130, 1119, 2724?\nAnswer: 4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*k = 157*k + 39*k + 641 + 331 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -45452119\/16 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = 5*o - 0, -2*o - 4*j = 2. Let f = o + 3. Factor -5*h**3 + 3*h**4 - h - 2*h**4 - h**f + 3*h**5 + 3*h.\nAnswer: h*(h - 1)*(h + 1)**2*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 400\/77 + -54\/11. Sort -3, k, -0.2 in decreasing order.\nAnswer: k, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*k + 1303*k + 260536 = 5988*k + 4460*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -10*q**3 - 18*q**2 + 7*q + 166. Does 5 divide r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-59)\/((-41536)\/(-616)))\/(-154)?\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 24*c**2 - 14*c + 6. Is p(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 - 38\/5)*(-4880 - -475)?\nAnswer: 2, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 0 - 9*b**2 + 0*b - 1\/3*b**4 + 0*b**3. Let c(o) = o**2. Give f(c(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.8140766 meters?\nAnswer: 81.40766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.5, -1\/7, -55.\nAnswer: -55, -6.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -230  (c) 2\/31  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -78 - -151. Suppose 3*b = 8 + w. Let y be (-1)\/(b\/28 + -1). Calculate the greatest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tuh when three letters picked without replacement from {a: 2, h: 4, t: 1, u: 3, p: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 20*x**2 + 35*x + 18. Let w = -142 - -160. Let d be j(w). Solve d = c - 3 + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 16211*c**2 + 48654*c. Give d(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 401835.6527 to the nearest 10.\nAnswer: 401840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1344 and 177.\nAnswer: 79296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10541688103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22.5 + -6.5. Let u = 29.00000026 + t. Round u to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1420169 - -1) + (-9 - -14). Suppose 4*y = -3*t + 81080006, -4*y + 4*t = -x - 79659817. What is y rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 269 + 251 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 14*m**2 + 3450*m - 6. Let y(c) = -5*c**2 - 1149*c + 2. Give -4*h(i) - 11*y(i).\nAnswer: -i**2 - 1161*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48509538 and 792.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2688, 1919, 1150?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 8*t - 430. What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u + 7. Let n be j(0). Suppose -5*l - 8 = n. Let f(p) = -p**2 - 5*p + 4. Let v be f(l). Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -80*z - 99. What is the tens digit of o(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 10 + 5)*(-5*d**2 - 13*d**2 + 5*d**2)*(47*d**3 - 20*d**3 + 17*d**3).\nAnswer: 1716*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/172400 and 7\/522.\nAnswer: 44996400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 489492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 45*p + 5. Let f(i) = 248*i + 28. What is -5*f(t) + 28*y(t)?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -j**4\/4 - 55*j**3\/4 + 74069*j**2\/4 + 1270155*j\/4 = 0.\nAnswer: -293, -17, 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1329 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1743542*p**3 - 2616888*p wrt p.\nAnswer: 10461252*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**3 + 2*a**2 + 481*a - 8. What is p(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 2 = -3*c, -2*c = -8 - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 768756 (base 13) to base 6\nAnswer: 135441103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 40 + 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2814 divided by -11?\nAnswer: -2814\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x**3 + x**2 - x**2)*(-4 - 1 + 3)*(1 - 1 - 1) + 83*x**3 + 15423*x - 15423*x as o*x**3 + b*x + g + c*x**2 and give o.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 5\/1368037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-2) - ((-336)\/32 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 5*q = 0, 5*f + 18 = q + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*w**2 + 145*w + 7*w**2 + w**2 - 357*w + 2*w**2 to c*w**2 + z*w + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5814)\/24225 - (-333)\/2325.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/(7644\/(-754)))\/(-8 - (-472)\/56).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*u**3 + 23*u**3 - 41*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -100, -170, -252, -352, -476, -630?\n\"Answer: -h**3 - 63*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 32 = -2*l, -3*l + 4*c - 21 - 26 = 0. Let d = -13 - l. Let q(k) = -k**3 - k**2 + k. Calculate q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -299 = -4*p + 3*z + 217, 0 = -5*p - 2*z + 622. Let m = 22 + -22. Is p - (0 - (m - -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*140\/5*25. Calculate the highest common factor of n and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.35 + 0.45. Let x = 3 + -5. Let y = x - -3. Is y less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 4, -1\/2, 0.8, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) -2487.63  (c) 0.01  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3337417152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 641377.\nAnswer: 11, 199, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 29*y**2 + 85*y + 682. Determine v(-31).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/9)\/(-2*2\/14)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123856, 122951, 121442, 119329, 116612, 113291, 109366?\nAnswer: 104837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2448 and 25800.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y + 4. Let i be v(4). Suppose -20 + 2 = -3*k. Let n(l) = l. Let m(w) = w**2 + 6*w - 6. Let x(z) = k*n(z) - m(z). Determine x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 740*u**3 + 4*u**2 + 3*u - 5. What is the hundreds digit of f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -76*p**2. Let w(a) = 180*a**2. Calculate w(m(n)).\nAnswer: 1039680*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/451 and 34\/41.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 1\/2, -1\/32, -1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**3\/4 - 113*w**2 + 34275*w\/4 - 178596 = 0.\nAnswer: 41, 48, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18995, 75125, 168685, 299687, 468143?\nAnswer: 674065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 7) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7256 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 191.548 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/1369899 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(216))\/(3*1*sqrt(72)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = -2*n - 7. Let k be n\/35 - (-2)\/(-10). Let m be ((-3)\/k)\/(6\/4). Solve m*o - 3 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 84142227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r + 79*r - 835 = -k, -k - 2*r = -269 + 246 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(7\/5)*((w\/(w\/((w*w**(2\/5))\/w)))\/w)\/w assuming w is positive.\nAnswer: w**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*r - 17*r - 1274. Calculate the least common multiple of r and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pxxygie. What is prob of picking 1 e, 1 y, and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 540255 and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 32*z**2 - 256*z + 8194. Calculate r(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 1:45 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**3 + f**2 + 6*f + 4. Let s(u) = -7*u**3 + 4*u**2 + 25*u + 16. What is 9*q(x) - 2*s(x)?\nAnswer: -4*x**3 + x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + -35 - (-26 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 9*k + 4697. Let y = k + 494. Calculate the remainder when 400 is divided by y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 181606.6 - 0.11044\nAnswer: 181606.48956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -123*n + 4. Let l(c) = 122*c - 7. Give 2*l(q) + 3*y(q).\nAnswer: -125*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 7761*h**2 + 97*h - 289. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 2 + sqrt(128) - (-1*sqrt(128) + -1 - sqrt(128)))**2 - (sqrt(128) + -3 + 2 - sqrt(128))**2*3) + -5.\nAnswer: -96*sqrt(2) + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jejs when four letters picked without replacement from {s: 5, j: 2, e: 7}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348 is divided by 81.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-7) - (-64)\/(-112). What is the second smallest value in 0.1, p, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((17 - 14) + -8 + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 110961811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.38 and 20.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 151057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 733 - 1501 + 2*b**2 + 825 - 65*b with respect to b.\nAnswer: 4*b - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1716 is divided by 830.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118\/9*t**2 + 8\/3*t**4 - 56\/9*t + 8\/9 - 94\/9*t**3 = 0. What is t?\nAnswer: 1\/4, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 285395, 285397, 285399, 285401, 285403, 285405?\nAnswer: 285407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (-4 + -1)*(-4)\/(-5). Which is bigger: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9 + 281*v - 129*v - 155*v. Suppose 6 = -2*f + 4*f. Let g be q(f). Solve 0 = -2*l - g*l - 3*p - 19, 5*l + 2*p = -20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.036 and -0.5.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70 and 182?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -645*y + 50959. Give c(79).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**2 + t - 2. Let q(v) = v**2 - v - 1. Let d(k) = q(k) + u(k). Let y be d(0). Let n be (-2 + 4 + y)*0. What is n rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddpddddsqqosqssd. What is prob of sequence qqd?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 4032.\nAnswer: -1\/2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2868844, 2868832, 2868812, 2868784, 2868748?\n\"Answer: -4*q**2 + 2868848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h - 178. Let c(i) = 25*i - 167. Let d(f) = 11*f - 78. Let k(g) = -7*c(g) + 15*d(g). Determine k(z(q)).\nAnswer: -20*q + 1779","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00038654 rounded to 5 dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10220, 10159, 10098?\nAnswer: 10037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 6:42 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + k = 10, -408365*c - 4*k + 32 = -408357*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((42\/(-8))\/(1\/2)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*b, 2*l + 3*b - 2*b = 145. Solve -l + 51 = -8*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 760.2645 rounded to one dp?\nAnswer: 760.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 68 and 257006?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*o**2 + 4*o + 2 + 3*o - 4*o in the form s*o**2 + c + u*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -7. Let m(j) = 4*j**2 + 6*j - 4. Let l be m(o). List the prime factors of (4\/6)\/(3\/l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) 1\/7  (c) 10014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b + 34*u = b + 33*u + 22, 2*b + 14 = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b + 24. Suppose 5*c - i - 49 = 0, -45 = -5*c + 3*i + 2*i. Let p be u(c). Suppose -p*t - 62 = -70. Solve -5*n = -t*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 49d?\nAnswer: -4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1283 + 409 = 9*g. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 462098 is divided by 10744?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5835 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -129, -258, -387?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-461)\/9681)\/(9\/((-1080)\/(-10)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5942 + -3521. Is 77 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/30 + 7\/(-350)*-37805. What is the highest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 1, -105001 in ascending order.\nAnswer: -105001, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 16 = -5*k, -11*v = -9*v + 4*k + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 3*p + 6. Let y be x(4). Let c = y - 8. Suppose 2*u + 7 - 3 = 0, -c*z + 3*u + 26 = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -731641652 divided by -4\nAnswer: 182910413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/20)\/((-308)\/(-35)*-1). Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/5))**(15\/11)*(y*y\/((y*y\/(y\/((y\/(y*y**(2\/7)))\/y))*y)\/y))**(-16\/5))\/((y\/(((y*y**(-2\/7))\/y*y)\/y))**(-1\/4))**(-9\/4) assuming y is positive.\nAnswer: y**(-6593\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7434.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13.1 + -14. Let d = -0.1 + n. Let w = 1001 + -1001.5. What is the fourth biggest value in -0.3, -0.1, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r. Let m(o) be the second derivative of o**4\/12 + 50*o. Determine m(y(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -2\/5, 0.1, 0.066 in descending order.\nAnswer: 2\/5, 0.1, 0.066, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 1)*((-9 + 19 + 9)*(-6*w + 0*w + 3*w) + w - 1 + 1).\nAnswer: 224*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 47565071431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16910841 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (48 + -9)\/((-3)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 334 times -0.06\nAnswer: -20.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 0)\/(14 - (-10 - -27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = v + v + 2*k, -5*v + 4*k = 10. Sort -0.2, -1, 0.2, v in descending order.\nAnswer: v, 0.2, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 4*i - 3*h = -5, -3*h = -2*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17975907, -17975910, -17975915, -17975922, -17975931?\nAnswer: -17975942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 125*i + 628. Give u(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 35\/105*-204*19\/(-152)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -6. Is f*2\/(-6) + 669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3749571)\/43605 - (-12)\/(-1140)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1366 = 2*m + 4*y, -5*m + 3*y = -2296. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**8)\/(y\/(y*y**4)))\/(y**(-1\/2)\/(y**(-3\/10)\/y))*y\/y**0*y**(5\/4)*y*y**(-2)\/(y**4*y) assuming y is positive.\nAnswer: y**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-27)\/(-1)*(-2)\/(-6). Suppose -t = -b - 6. Let -4 + 6*u**3 + 10*u - 4*u**b + u**3 - 8*u**2 - u**3 = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6429925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g - g + 2*g + (-10*g + 28*g + 14*g)*(-6 + 5 + 0)*(-1 - 3 + 0)*(1 - 2 - 2).\nAnswer: -383*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 10, p - 6*g = -3*g - 12. Let q be ((p - 3) + -1)\/(3\/3). What is the remainder when 46 is divided by q\/(-5 - (-98)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1221*l - 1222*l = -4. Solve -l*w - 17 = j, 27 = 4*j - 6*w + 3*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a + 15. What is t(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/6186 and 53\/198.\nAnswer: 204138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 3*w**2 + 2*w. Let d = -15 - -12. Determine h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/12)\/((-90)\/(-144)*-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0964391413 rounded to three decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*w + 72 = 64*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15532945?\nAnswer: 5, 67, 199, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + 2 + (-110 - -118) - (-3 - (-3 - -7))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-9)\/(45\/20). Let c = 10\/9 + -23\/18. What is the nearest to -1 in c, -3, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d - 12. Let s be q(-5). Calculate the greatest common divisor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -50 and 5.082?\nAnswer: -254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of (-627)\/(9392\/(-2336) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 6. Suppose y = 3*m + 5*k - 10, -3*k = -6*m + 2*m + 23. Let j = -27 - -31. Which is the smallest value?  (a) j  (b) m  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.995 * -11.0928.\nAnswer: 22.130136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 436.2153 hours?\nAnswer: 26172.918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 3*b. Let y be k(4). Let o = y - -18. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, 1\/107, 0.02, -3, 2\/11 in ascending order.\nAnswer: -3, 1\/107, 0.02, 0.17, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*5\/105)\/(0 - 3\/7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2395037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-7))\/x*(x\/(x\/(x\/x**7))*x)\/x)\/(x*x*x**(-5\/4)*x**(-1\/8)*x)*(x\/x**(-3)*x**6)**(6\/5) assuming x is positive.\nAnswer: x**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*((-1094)\/464 + 0) - 4. Let c = l + 1\/29. Sort -0.1, c, -0.03, -0.2 in decreasing order.\nAnswer: c, -0.03, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1.622187nm?\nAnswer: 0.000000001622187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/(-15)*-1 + (-302)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 6.9892. What is g rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-31326)\/840581)\/((-9)\/(-69))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 7370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 405*p - 7. What is the tens digit of n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 5*h + 7. Let x be u(-5). Let b be (-2)\/(-7) - (-68)\/x. Suppose 9*m - b*m = 2. What is the second smallest value in m, -4, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -5. Let r be (-3 - -24)\/3 + z\/(-2). Suppose 5 + 15 = r*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2*sqrt(125)*3 + sqrt(125)) - ((sqrt(125) - (2*sqrt(125) + sqrt(125)))*2 - ((sqrt(125) + 1)*2)**2).\nAnswer: 25*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 8150.1986?\nAnswer: -8149.7986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 316*z**2 + 101*z**2 + 59*z**2 - 183*z**2.\nAnswer: -339*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1877 + -22?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -7348738*-3\nAnswer: 22046214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 502 a factor of 17006470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -j - 4*q - 326, 2*q = -10. Suppose -5*d + 2665 = o, -1048 = -2*d - 4*o - 0*o. Let s = d + j. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74360107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/27*(-474786)\/2029?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 270\/11 + -1868\/77. What is the closest to t in -0.01, 1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17388 + 9159. Does 39 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w = -88 + 24. Solve 91 - 67 = w*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1126358 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8159 + -8153. Solve -f - v = -x, 4 = -f - 90*x + 89*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1044\/108 - -17 - (34 + -6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 - 34 - 37*h + 23 - 3*h**2 - 29 in the form j*h**2 + a + f*h and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/16 - (-1 - -1). Which is the second smallest value?  (a) 3\/2  (b) 0.2  (c) -1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56965 - -1083416\/19. Let m = -57 + t. Sort -1\/2, -14, 1\/8, m in descending order.\nAnswer: 1\/8, m, -1\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 0. Let o be ((-20)\/(-12))\/(3\/27). Suppose -j + 32 + o = h. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) 1\/3  (b) -0.4  (c) 35  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 106 - 84. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 87 = 1. Let b = 118 + u. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 6. Let b be g(-8). Let d(w) = 51*w**2 + 1. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2 = -5*f, k - 2293 = -3*f - 2303 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/9)\/p)**18*(p**(1\/4))**(-37) assuming p is positive.\nAnswer: p**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 11:10 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - -2 - (-6)\/6. Let o be (s + 2 + -5)*1\/2. Solve -3*u + 11 - 2 = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 77\/5 of a decade?\nAnswer: 1848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 72*l - 9 + 26 to s + p*l and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x + 3. Let y be h(-9). Let u = y - 23\/2. Factor -1\/4*c**3 - u + 0*c**2 + 3\/4*c.\nAnswer: -(c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(1100) + (-2*(2 + sqrt(1100) + sqrt(1100) - sqrt(1100)))**2 + (sqrt(1100) - (2 + sqrt(1100)*-1))*-6.\nAnswer: 50*sqrt(11) + 4431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 - -201 - 93 - (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -4, 12\/7, -2\/9, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*t**2 + 8*t - 34*t**6 - 8*t wrt t.\nAnswer: -4080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*m**4*p**3 - 72856*m**4*p + 33*m*p**3 + 514*m*p + 3*p**3 wrt m.\nAnswer: 24*m**2*p**3 - 874272*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 21 - -2965?\nAnswer: 2986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 4:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.4, 4\/5, -0.5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13.75619 kilometers?\nAnswer: 13756190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2978755146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 5436?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -123*a + 115*a + 16. Let w be (a\/4)\/(2*(-3)\/(-9)). Let c be (-7)\/(-9) - 2\/2. What is the second smallest value in w, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412 = 1159*b + 4726 + 5293 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -1165*u**2 - 3. Let x(b) = -3619655*b**2 - 9320. Give -9320*m(t) + 3*x(t).\nAnswer: -1165*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.04232 and -0.3?\nAnswer: -0.012696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/11  (b) 0.161717  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 6*u**2. Let p(r) = -608*r + 316. Calculate p(z(w)).\nAnswer: -3648*w**2 + 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/30*6\/(-9))\/(28\/30)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 107, 102, 95, 86, 75, 62?\n\"Answer: -t**2 - 2*t + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(-2\/11)))**11)**(-1\/30) assuming r is positive.\nAnswer: r**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10063 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 12:55 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.022003*0.4.\nAnswer: 0.0088012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.0036  (b) -360.69  (c) -0.08  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -4*q - 1957, -6*q + 1965 = i - 8*q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-15))**(1\/3)\/(g*g**(-3\/5)*g*g**(-1\/19)*g) assuming g is positive.\nAnswer: g**(-698\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -613308, -1226818, -1840338, -2453874, -3067432, -3681018, -4294638?\nAnswer: -4908298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4793544 + -2879.4576456. Let n = 2883 + q. Let r = n + -3. Round r to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d. Let o be q(-2). Suppose 4*y - 32 = o*y. Solve -5*a + 0*j + j = -19, 4*a - y = j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-26)\/(-3) - (-2)\/6. Let z(s) = -9*s - 29. Let b be z(-3). Let m be ((-40)\/(-70))\/(b\/(-98)). Solve -n + 5*y = m, g*n - y + 20 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s. Let p(b) = 95*b + 2. Determine p(l(o)).\nAnswer: 475*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d = 2*d - 30. Solve -3*m + 32 = d*t + 2*m, 16 = -t + 5*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -11*v**3 + 3*v**2 + 3*v + 1. Let n(s) = 34*s**3 - 8*s**2 - 8*s - 2. Let w(u) = -8*f(u) - 3*n(u). Find the first derivative of w(d) wrt d.\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 9*u**2 + 58*u - 446. Calculate l(12).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u + 12 = -13*u. Suppose 0 = -5*f - a + 46, -4*a + a = -5*f + 62. Let p be -4*(2\/f)\/(u\/(-5)). Which is greater: 30\/13 or p?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/37)\/d*d*d**(2\/9)\/d)\/(d**(-3\/7)\/(d**(-1\/21)\/d*d)))**(1\/13) assuming d is positive.\nAnswer: d**(-76\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1184\/9 - -132. Let z(g) be the first derivative of -d*g + 2\/27*g**3 - 3 + 1\/9*g**2. Find i, given that z(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-6)\/p*p**(-1\/8))\/(p**(-1\/2))**(-41))\/((p\/p**0)**(1\/10))**21 assuming p is positive.\nAnswer: p**(-1149\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 0*o - 3*o)*(-6 + 0 + 0 - o)*(4*o**2 - 6*o**2 + 3*o**2).\nAnswer: 4*o**4 + 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 138 = -234. Suppose -3*b - 5*g + 15 = -b, 5*b - 81 = 2*g. Let o = -7 + b. What is the greatest common factor of q and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -4530*m - 1657984. Determine c(-366).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/2 in -309, -5, -1.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 13368217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k**2 - 5*k - 113. Let l be d(9). Is 90 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4287*c**3 - 8562*c**3 + 4277*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 4. Let x be u(5). Let v(w) = 31*w + 1. Let s be v(x). Let q = 8 + -4. Calculate the greatest common divisor of q and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -32*l + 0*l - l**3 - 7*l + 5*l**3 - 5*l + 5*l + (0*l + 0*l - 2*l)*(0 + 0 + 2*l**2) - 3*l**3 - 2*l**3 + 3*l**3 - l**3 - 2*l + 2*l.\nAnswer: -3*l**3 - 39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**2*k**3*n**2 + 13099*f**2*k*n**3 - 6*f*k*n + 2*f - 149*k**3*n + 2*k**2*n**3 - 46*k**2*n wrt f.\nAnswer: -6*k**3*n**2 + 26198*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -95385 and -95383 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 4, 4*t + 3*z = 4*z + 6804. What is t rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2. Let q(g) = -2*g - 1. Let p(m) = -19*m - 4. Let c(l) = 2*p(l) - 14*q(l). Calculate r(c(s)).\nAnswer: 100*s**2 - 120*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10061248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -561, -1611, -3161, -5211, -7761?\n\"Answer: -250*h**2 - 300*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -5*u**4\/2 - 26*u - 35. Differentiate m(c) with respect to c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {a: 3, m: 3, t: 3, q: 3, j: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 0*i + 32. Is i bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 5*f**2\/2 + 5*f + 2. Let d be m(5). Let q = -19 + d. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-2*2\/4). Let r(i) = -i**3 + i**2 - 2. Let s be r(n). Let f(u) = u + 1. Let k be f(2). Sort 0, k, s in ascending order.\nAnswer: s, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -7*w - 18. Let x be i(8). What is the units digit of x\/(-10) - 18\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.065 and 3671.\nAnswer: 238.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000020021112 - -2?\nAnswer: -2000020021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4 + 0 + 3 - 9 + 3*g. Let d be a(4). Suppose d*y - y - 305 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1857 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: Simplify (b**0)**(4\/13)\/(b\/(b\/(b\/b**2)*b))**(3\/17)*((b\/(b\/b**(-5)))**(-1\/37))**(-4\/21) assuming b is positive.\nAnswer: b**(4322\/13209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 48*u**2 + 199*u + 192. Let r be i(-37). What is the greatest common factor of r and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 + -41005022?\nAnswer: -41005011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3922 = 9*a - 16922. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*d**3 - 835*d**2 - 35275*d - 34445 = 0. Calculate d.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/8 - (-474)\/(-632)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1016 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -414 greater than or equal to -413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13*60\/10010)\/(1\/(-7) - 0)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-1))\/(-4) - -82. Suppose -j = -4*h + i, 4*j + 108 = 4*h + h. What is the highest common factor of h and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*j**6 + 3631*j**4 - j**3 - 3176*j**2 - 79 wrt j?\nAnswer: -600*j**3 + 87144*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-25))\/((-46)\/(-690))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 6:41 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70.1 - 76. Let d = 83.1 - f. Let r = 88 - d. Which is the closest to r?  (a) 0  (b) 0.5  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t = -28*t + 80. What is the remainder when 77 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -790, -1, 24, -5, 1, -3 in descending order.\nAnswer: 24, 3, 1, -1, -3, -5, -790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -59 - -2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, p: 5, u: 2}. What is prob of picking 2 p and 2 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3 = d - 2, 0 = 5*d - 4*y - 25. What is the greatest common divisor of d and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 150, 1316, 4520, 10794, 21170, 36680, 58356?\nAnswer: 87230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of -1\/24*y**4 - 1\/60*y**5 + 1\/3*y**3 - 2*y + 0 - y**2. Let v(t) be the first derivative of d(t). Factor v(o).\nAnswer: -(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-44)\/55*(-30)\/4. Let x = 21 - u. Suppose x = -3*w, -5*m = -3*w + 2*w - 60. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.04 and 0.3?\nAnswer: 1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -135*h. Let u(a) be the third derivative of 3*a**4\/8 + 1729*a**2 - 2. Calculate u(g(z)).\nAnswer: -1215*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 881 + -882. Sort -4\/17, t, 0.4, -3 in ascending order.\nAnswer: -3, t, -4\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**4\/24 - 4*h**3 - 2*h**2 - 250*h + 2. Calculate u(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovpkpksppkpvskdppdo. What is prob of sequence ppvs?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 68535223 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + 0*b**4 - 2*b**4 + (5 - 5 - 3*b**2)*(-3 + 3 - 2*b**2) - 14*b**4 + 2*b - 2*b.\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 167997*i**2 - 5*i + 2. Suppose 0 = -f + 5*m - 17, 2*m - 2 = -7*f + 5*f. Let k be l(f). What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39876 times 61\nAnswer: 2432436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 d, and 1 o when four letters picked without replacement from xfpuodf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2652775037 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1319250, -1319227, -1319204, -1319181, -1319158?\nAnswer: -1319135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -25*w**2 - 4551*w + 123628. What is h(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 18*c - 27. Let g be i(16). Suppose -4*s - 4*u = -u - 85, 0 = -s + g*u + 4. Which is greater: 18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8*(4 - 60\/16). Let y = 211 - 207. Suppose -5*d - 90 = -o*w + 24, 0 = -y*w - d + 272. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**5 - 40*t**4 - 248*t**3 + 320*t**2 + 244*t - 280 = 0. Calculate t.\nAnswer: -5, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1795856917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -365*z**2 + 16821386*z - 16821386*z.\nAnswer: -365*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 11:14 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 849*l**3 + 929*l**3 - 1664*l**3 - 1 + 1.\nAnswer: 114*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1 = -3. Let a be 4*(l - 0)\/(-4). Suppose 3*b + 7*u = a*u - 20, 12 = -3*b - 3*u. Put -5, 5, b, 3 in descending order.\nAnswer: 5, 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bgbbbbbggbbgg?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4488 and 1687488.\nAnswer: 1687488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*749.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1976\/(-27040)*-26*30\/(-4)?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.33*10.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74249714.\nAnswer: 2, 7, 11, 53, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -35.\nAnswer: -35, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m\/(m*m*m**12*m)))*m**(-1\/18)*m)\/(((m*m*m\/((m\/(m*m*m**(-2\/9)\/m))\/m*m)*m)\/m)\/(m*m**(-2\/21)\/m)))**(2\/73) assuming m is positive.\nAnswer: m**(-223\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3942 plus 566?\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 94\/9 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 w, and 2 n when four letters picked without replacement from wdvnewn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 + -8. Let n = -18 + q. What is the second smallest value in n, -1\/8, 17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooosdoooyoody. What is prob of picking 1 s and 1 o?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ccl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7115 is divided by 2296.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-11 + -7) - (0 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -756*j**2 - 5365*j wrt j.\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 1655*d + 1177. Is g(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 3. Let q be x(3). Suppose -q*k = -2*k - 24. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8143 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2681055 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 765.60498 and 4.\nAnswer: 3062.41992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 19*m**2 - 17*m + 11. Let g = -9629 + 9611. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (11 + 1)*(-2)\/(-3). Let y = v - -6. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 0) + (-43 - -50) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1199\/36 less than or equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87460542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 0*i**2 + 1\/28*i**4 + 13\/14*i**3 - 4*i + 7. Determine b so that z(b) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -24551*m**3 + m**2 + 6*m + 5. Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4078*u + 63100 - 20010 = -231*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 0) + (-14)\/7. Let c = 5 - q. Which is smaller: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/3))**36 assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooooooooorooorooo. What is prob of picking 3 o and 1 r?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2975.7 + 2850. Let o = i + 120. Let v = 6 + o. Which is the third biggest value?  (a) v  (b) -0.3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*b**2*d**3*t**3 + 68*b**2*d**3 + 156*b**2*d + 2*b**2*t**3 - 3*b**2*t**2 - b*d**2*t - 10*t**3 wrt d.\nAnswer: 492*b**2*t**3 + 408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*j + 4*j + 3*j + (4*j - 4*j - 2*j)*(0 - 5 + 3) - 1 + 1 + 5*j + (-2*j + 2*j + 2*j)*(-5 + 1 + 3) + (-3*j + 3*j + j)*(-6 + 3 - 2).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89649*t**2 - 89649*t**2 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 258.3815 nanometers in micrometers?\nAnswer: 0.2583815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*g**2 - 8*g**2 - 7*g**2 + 6*g**3)*(2*g**2 + 0*g + 0*g).\nAnswer: 12*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 737 divided by 190553\nAnswer: 67\/17323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1066 - -7436\/7. What is the common denominator of a and 29\/178?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 - 0.5. Let x = n + 0.2. Let k = x - -0.1. Which is greater: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(171))\/(sqrt(900)*1).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2449 and 711.\nAnswer: 22041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z - 10. Let p be n(-3). Suppose -56 = -p*r + 9. Suppose -8*s = -r*s + 100. What is the least common multiple of 10 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*((sqrt(243) - (sqrt(243) + sqrt(243) + (-1 + sqrt(243))*6 + sqrt(243)))**2 + sqrt(243)).\nAnswer: -8550*sqrt(3) + 155880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20944476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sggggsgsggs. What is prob of sequence gs?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -235, -242, -249?\n\"Answer: -7*l - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 2*g**3 - 5*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -113 + 49.9. What is r rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13311 + -13314. Which is the nearest to 1?  (a) 0.17  (b) -0.2  (c) w  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 113506013?\nAnswer: -113506006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9003 - -15500. List the prime factors of n.\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8328 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 17.5  (b) -5  (c) -0.5  (d) 147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102021 + 2020?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/2*(-1164)\/9 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 124*r - 5 - 123*r + (-2 - 1 + 4)*(2*r + r - 2*r))*(r**2 + 2 - 2).\nAnswer: 2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -o**3 + 132*o**2 + 316.\nAnswer: -3*o**2 + 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.54 * -5.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1136608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1\/((c**(-1\/8)*c)\/c))**5 assuming c is positive.\nAnswer: c**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -72 - (114 - 103).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60 + 57)\/(0 + (-6)\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 71283 and -251.606274.\nAnswer: 71031.393726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**27\/c**(-1\/3) assuming c is positive.\nAnswer: c**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 i, and 1 g when four letters picked without replacement from rgirrggdvig?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 6*b = -0*b + 2*t + 14, 0 = -6*t - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 494 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zkw when three letters picked without replacement from wzkzkkkkzzkkwkkk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**5\/3 - 32*h**4\/3 - 146*h**3\/3 - 12*h**2 + 216*h - 144.\nAnswer: -2*(h - 1)**2*(h + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 717 divide 2677995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -q + 4*q. Which is the nearest to q?  (a) 6  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 10904.9166ms?\nAnswer: 0.0001262143125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 2:43 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 633 or 629?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1125*r - 574 = -1350*r + 2126 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -223641 (base 9) to base 16\nAnswer: -20b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7284129, 7284133, 7284131, 7284117, 7284085?\nAnswer: 7284029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167 - -412. Calculate the greatest common divisor of k and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 353 divide 7618446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 2, -6\/5 in decreasing order.\nAnswer: 2, -6\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.8027 + -2.6798. What is f rounded to two decimal places?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44615520 to the power of 1\/2, to the nearest integer?\nAnswer: 6679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - g = 10 + 29, 5*r - 6573*g - 6579*g = -13149*g + 75 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1283*a + 0 - 232*a + 401*a - 2.\nAnswer: -1114*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 12:06 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 250*j**3 - 2712*j**2.\nAnswer: -2*j**2*(j - 113)*(j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 180952354 to the power of 1\/2, to the nearest integer?\nAnswer: 13452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3103 is divided by 57.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 8. Let b = -2.83 + 2.8. Let s = 0.07 - b. What is the nearest to s in 2\/15, -1, z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 161081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 27\/5, 2\/9, 0.059, 23 in descending order.\nAnswer: 23, 27\/5, 4, 2\/9, 0.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 91713.8448 - 91649. Let v = 0.4248 - l. Let r = -66 - v. Round r to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {s: 2, w: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -1. Let n(r) = 3*r + 2. Let x(t) = -t**3 + 12*t**2 + 330*t - 4122. Let w be x(13). Determine w*n(h) + b(h).\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 5. Suppose 0 = -k*c + 575 + 109. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3680.1 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t - 279 + 283*t**2 - 285*t**2 + 93.\nAnswer: -2*t**2 + 4*t - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddtttuatttttuttdud.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i + 5. Let r be p(-4). Let c = 3 + r. What are the prime factors of c - 1 - (-1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**2\/5 + 271418*a\/5 - 54284 = 0. Calculate a.\nAnswer: -135710, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-6\/11))\/f)**46 assuming f is positive.\nAnswer: f**(276\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2 + 14*z - 9.\nAnswer: 14*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56413165.\nAnswer: 5, 1951, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s - 3*s)*(1 + 4 - 2 + (2 + 3 - 3)*(-1 + 0 + 3) + 3 + 0 - 1).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-23)\/(-4))\/(231\/28 - 8). Suppose -1437 = -k*h + 1461. What is the remainder when h is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 13 = -3*c + c, -3*c + g = -14. Suppose a + 4*a = -l + 27, -109 = -c*l + a. What is the remainder when 61 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is aaae8 + -1?\nAnswer: aaae7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.8 - -0.94. Let x = s - 3.64. Let n = x + 4. Which is the smallest value?  (a) n  (b) 0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -897*s + 1273*s - 378*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 85260 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p = 0. Suppose k + p = -3. What is the smallest common multiple of (k - -1)*(4 + -11) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -79 - -79.099. Let m = -8.1 - -8. Let h = v + m. What is h rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 5*v - 6. Let y be a(-6). Suppose -b - 4*b + 15 = y. Solve 2*p + p = -b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 32*q**2 - 34*q - 21. Let c(k) = -k + 28. Calculate the smallest common multiple of n(-33) and c(-28).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11101001 (base 2) to base 13.\nAnswer: -14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -2\/9  (c) -0.1  (d) -125\/4  (e) -3  (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 22452309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202 - 35342*r + 99 + 103.\nAnswer: -35342*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19147711 and 7?\nAnswer: 134033977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1052 (base 6) to base 9\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9128 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - -3. Let u = l + -7.86. Let g = 0.13999944 - u. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2 - 2 - 3*n - 6. Let t be z(-4). Differentiate 4 - v - 1 + t*v + 0*v with respect to v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -160.2 + 125. Let j = -34 - c. Sort 0, j, -0.1 in descending order.\nAnswer: j, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2672875944 rounded to 3 decimal places?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -j**5\/24 - 17*j**4\/24 - 5*j**3\/2 - 3*j**2. Let h(z) be the first derivative of p(z). Differentiate h(b) wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(1428\/21)*8\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 136989283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/b**(5\/3)*b*b))**(-10)*(b*b\/((b*b\/b**7*b)\/b))**(-50) assuming b is positive.\nAnswer: b**(-1040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(384) - 5*-2*sqrt(6))\/(sqrt(2048) - 1*sqrt(50)).\nAnswer: 34*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -35*a. Suppose 3*k - 5*t = -13, k + 5*t - 5 = 6*k. Suppose -23*y + 19*y + k = 0. What is w(y)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 224 - -322. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12606674 + -5906674. What is a rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -101679 and -0.4?\nAnswer: 40671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 - q**2 - q + 26. List the prime factors of k(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**4\/12 - 5*p**3\/3 + 3*p**2 - 6*p. Let d be g(6). Let r = 22 + d. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7433901 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(12) + -2*sqrt(108)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20*d**2 + 52*d - 52*d + (1 - 2 - 1)*(d + 2*d**2 - d) + (-24 + 0 - 11)*(-d**2 - 4*d**2 + 4*d**2).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021237 to five decimal places.\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by -46*4\/(-8) - (0 + -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4.4 in -0.09, 2\/5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2 + 3)*(-6*u**2 + 2*u**2 + 3*u**2) + (-3*u + 6*u + 4*u)*(-30*u + 171 - 171).\nAnswer: -206*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 945067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57 is divided by (10 + 0)\/(65\/10 - 6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -6766004.\nAnswer: 13532008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 m, and 1 x when three letters picked without replacement from {w: 2, x: 1, m: 4, n: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3094 + 3*d + 2963 - 6057.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 415, 831, 1247, 1663?\n\"Answer: 416*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010011100100 - 101101?\nAnswer: -100010100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 9:07 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -129 + 224. Let m = -246 + 81. Let v = m + t. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 658 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 and 52\/31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*c**2 - c**4 + 591 - 6*c**3 - 1077 + 491 + 4*c**3 + 4*c to m*c + s*c**4 + z*c**3 + g*c**2 + u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2302, -1873, -1444?\n\"Answer: 429*l - 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w + 109 = -4*q + 18*w, -4*q = w + 113. Let h(b) = -8*b - 210. Let d be h(q). Solve 4*u - 6 = -d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 11:18 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + 3*o**2)*(-290 + 130 - 198 + (4 - 2 - 4)*(-1 + 3 + 0)) as s*o + f + l*o**2 and give l.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1603 + 1630. Suppose 0 = 2*v - 0 - 6. Calculate the remainder when c is divided by (-3 + 42\/v)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 11*o**2 + 11*o - 12. Let m be g(-12). Let s be ((-2)\/(-28))\/(12\/(-72)). Is s greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -251 + 96. Sort -5, a, 1, 3.\nAnswer: -5, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*t = 27*t + 10, -5*r = -4*t - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + -11)\/(4\/(-9786)). What is the first derivative of 25*a**2 + 2*a**4 - 34251*a**3 + 112 + n*a**3 wrt a?\nAnswer: 8*a**3 + 50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -0.4, -8\/7, -3, 0.2, -2\/35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -277.968 - 0.032. Let c = -278.3 - t. What is the smallest value in -2, 0, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**2\/u**(-5)*u*u**(2\/3)*u*u**2*(u*u**3*u*u*u**(4\/3)*u*u)\/(u*u**(1\/6)*u*(u\/(u**(-1\/7)\/u))\/u) assuming u is positive.\nAnswer: u**(743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/16 and ((-231)\/1540)\/((7116\/1725)\/(-4) + 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19231224 is divided by 722?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3.687 and -1506.\nAnswer: -1502.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.762974 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u + 8. Let j be 10\/((-6 - 0)\/3). Let h be l(j). Let k(g) = g**h - 10 + g + 4 + 0*g - 2*g + g**2. Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/48*4 + (-476)\/168. Let q(t) = 8*t**2 + 3*t + 7. Calculate q(h).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*o - 1170 = 26*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 3*m**3 - 17*m**2 + 18*m + 8 = 0.\nAnswer: -1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**2 + 32*t - 120 = 0. Calculate t.\nAnswer: 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2\/7, 10\/7, -1\/7, 12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 12*n + 17. Let a be i(-13). Do 3 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 515\/3 + -172. Which is the closest to w?  (a) 3\/5  (b) 0.01  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 399.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 13*y - 175. Let g be t(14). Solve -3*d + 8 = -g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10065 (base 7) to base 16.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 128 = -4*q + 2*f, -4*q + 2*f - 116 = 0. Let j be 12\/(-54) - 6\/q. Solve 5*n - 10 = -j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -381549687 + 381549659.00000104. Let h = x + 28. What is h rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence slhc when four letters picked without replacement from {l: 1, c: 3, s: 5, m: 1, h: 5}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 102*h**3 - 310*h**3 - 3*h**4 - 2*h - 13 + 102*h**3 + 105*h**3 to the form i*h + a + k*h**4 + w*h**3 + f*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.68 + -0.22. Let g = 0.1 - t. Is g greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 6, l: 3, n: 1, u: 2}. What is prob of picking 1 n and 2 l?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 42 + 18. Let g(z) = z**2 - 5*z + 7. Let q be g(5). Let w(i) = i**3 - 7*i**2 + 4*i - 6. Calculate the remainder when w(q) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z**2 - 3*z**2 - 79 + 74 + (-1 + 0 - 1)*(-2 + 2 + z**2))*(0*z - 2*z + 3*z) in the form w*z**3 + o + q*z + v*z**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2366317 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 375.09 - 373. Let t = -0.18 + 0.09. Let l = t + r. Which is greater: l or 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x - 21*x**3 + x + 5*x - x**2 + 26*x**3 - 1. Let t be j(1). Solve c - 6*c = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 6:46 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 524*p - 522*p = 4*s - 12, -3*s = p - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/6456 and 24820290\/1307340 - (-2 + 21).\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 2567978?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3224 - -2?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1963*t - 3940*t - 677*t.\nAnswer: -6580*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1252 by 15.\nAnswer: -1252\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.071 + 2540939.\nAnswer: 2540938.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 3*p + 2*x + 5, 0 = 4*p - 2*x - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -23, -17, -11, 1, 25?\n\"Answer: x**3 - 6*x**2 + 17*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7, m: 4, q: 2}. What is prob of sequence maqa?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 9.96. Let q = w - -0.14. Which is the smallest value?  (a) -2  (b) -2\/3  (c) q  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -16*l + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + 3*u + 2*u + 0 + 2*u + 0 - 1 + 2*u + 1 + (5 - 4 - 2)*(u + 1 - 1) - u + 5*u - 3*u + 0*u + 0*u + 2*u + 0*u + 0*u - u - 38 - 14 - 2*u - 28.\nAnswer: 5*u - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 5*d + 55371, -1085*f + 73915 = -1081*f + 3*d. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at most as big as -1462.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 4  (b) -189  (c) 5  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*q + 257811 - 78594. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (-1 + -20)\/(-1). Let m = t + 55. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -50*f**2 - 10*f**3 + 37*f**2 + 27*f**2 wrt f.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 0) + (-12 - -7) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8069598.133802 - 8069615. Let r = 5.133679 - c. Let m = -22 + r. What is m rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 133037 and 367.\nAnswer: 133404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b + 60. What is r(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 1 = -x, -4*j + 13 = -3*x. Suppose -28 = -j*k + k - o, 0 = 4*k - 5*o - 12. Suppose 12*a - 128 = k*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/7)\/x)**16*(x**(-1\/4)*x)**44*(x**(4\/7)*(x**(-2\/5)\/x)\/x)\/(x\/(x*((x*x**(-4\/7))\/x)\/x)*x*x**(-1)) assuming x is positive.\nAnswer: x**(316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s - 3 + 4*s + s**2 + 3*s**2. Let z be l(-3). Suppose 0 = -m + x - 5*x + z, 4*m = x + 23. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.356 rounded to 2 decimal places?\nAnswer: -64.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 17*d + 195. Let x be g(-11). Suppose 0 = x*p - 3*p - 5*t - 35, -t - 10 = -2*p. Solve -5 = -3*m - 2*m - p*b, -6 = -2*m - 2*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245765582 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22233 and 7411.\nAnswer: 22233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -901 = -71*h - 1186 + 924 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + i = -5, 2*h - 7*h = 3*i - 19. Let r be -16 + 33 + h + 1. What is the common denominator of (-83)\/(-2)*4\/r and -65\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 67 = -4*o, -m + 37 = -0*m + 5*o. Let x be (2 - -1) + (25 - 20). Solve 0 = 2*u - 3*t - m, 2*u + t + x = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -9*n**4\/4 + 3*n**3 + 36*n**2. What is the tens digit of l(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2) + -1 - ((sqrt(2) - (sqrt(60)\/sqrt(5))\/sqrt(6)) + sqrt(2))) + -4)**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 4*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 503.2703mm?\nAnswer: 0.0005032703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xyx when three letters picked without replacement from {y: 6, x: 3, h: 2, z: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1450)\/(-75))\/(50\/(-1750)*84\/(-18)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1131?  (a) -0.1  (b) 7  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(891))**2*1 + 3 - (-1 + 1 + sqrt(891) + ((sqrt(891) + 0)*3)**2).\nAnswer: -7125 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -72b + -1367b?\nAnswer: -141aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*b - 2*b**3 + 2*b**4 + 4*b**4 - 3*b**4 + 39*b wrt b.\nAnswer: 36*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4613 = -182*m + 1519 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.26 - 0.16781.\nAnswer: 0.09219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*c + 20 + 95*c - 45*c.\nAnswer: c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 + 28364*x**2 + 3305180*x + 97092052.\nAnswer: 4*(x + 59)**2*(x + 6973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 1\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 164 - 162. Which is the third smallest value?  (a) -1\/14  (b) -2\/19  (c) 0.4  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**2 - 4*i + 4*i + (4*i - 2*i - 3*i)*(4 - 4 + 2*i))*(5 - 5 + 3*i**3).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, y: 1, e: 1, c: 1, w: 1}. Give prob of sequence ew.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 2, -3*v + 10 = 3*y - 2. Solve j = -v*t + 2, 2*j = -4*t + 7*j + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6383*r**2 - 5571 + 5571.\nAnswer: -6383*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 + -19. Let v = g + 3. What is the remainder when v is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 24*z + 21*z + 7 = 0, 3*t + 4*z = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 5)*(5*u**4 + 0*u**4 + 6*u**4) + 4*u**4 - 4*u**4 + u**4 - 2*u**4 + 4*u**4 + 0*u**4.\nAnswer: -41*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**5 + 8*u**4 - 470*u**3 - 4820*u**2 - 16512*u - 19008 = 0.\nAnswer: -11, -4, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**4\/6 + 29*r**3\/6 - 7*r**2 - r. Let p be k(6). Solve 5*m + 0*m = a, 0 = 4*a - p*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 32 = 2*k + 12, -2*k = 0. Let q be (4 + v)\/(3\/(-15)). Suppose -f = -5*j + 32, -3*j - f = -q*j + 14. What is the greatest common factor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 49*l**2 - 84*l + 227. What is g(23)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3260 = -g + 814, 0 = -g + 8*a + 4116. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -954*z - 156465. Calculate u(-164).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 197642 and 255.\nAnswer: 2964630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 4)*(-6 - -12). Suppose 3*g = 3*o - 15, 7 = 3*g + 4*o + 1. Let a be g - (-2478)\/27 - (-2)\/9. What is the highest common factor of c and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 15*j - 2. Suppose 11*c + 6 = 12*c. Let w be g(c). Suppose 33*o - w = 31*o. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16.7 + 17. Sort -2, 5, l, 2 in descending order.\nAnswer: 5, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 65317231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -76\/45815 and 38\/212415.\nAnswer: 2336565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 26. Which is the biggest value?  (a) -0.3  (b) 1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 832 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -48*y**3 + 161*y**3 + 114*y**3 + 6*y**3 - 2*y + 530*y**2 wrt y?\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/9 - 272*p**2\/9 - 1064*p\/9 - 352\/3.\nAnswer: -2*(p + 2)**2*(p + 132)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-168) + (1 - 45\/28). Let p = -5.8 - -5.396. Let o = 0.096 - p. Put 0.3, o, m, -13 in descending order.\nAnswer: o, 0.3, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -114*b*o**2 + 9*b - o**2 + 11 with respect to o.\nAnswer: -228*b*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1725  (b) 0.8  (c) -0.317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + 3. What is the remainder when 27 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.061089 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, j: 1, t: 1, x: 14}. What is prob of picking 1 x, 1 n, and 1 a?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + -15. Let x = t - 16. Suppose 0 = r - g - x, 4*r - 5*g - 26 - 40 = 0. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 26 = 2*g, 4*g - 327*c + 4 = -326*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 155537990 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 230, 232, 234?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 860 in descending order.\nAnswer: 860, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -447 - -453. Suppose 0 = -p*u + u + 35. Calculate the lowest common multiple of u and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/136 and 19\/24429.\nAnswer: 195432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 2*q + 112, -2*r + 64 = -0*r + 4*q. Let a be (1\/(-2))\/((-2)\/r). What is the greatest common factor of 30 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -543 + 236584?\nAnswer: 236041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -12173641 plus 0.5?\nAnswer: -12173640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 1, q: 3, k: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 377074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -9*b + 72. Let g = -238 + 253. Let m be c(g). What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4 + 14 = 3*q, -3*k = 5*q - 16. Let s be (3\/4)\/(3\/(-12)). Let r = s - -8. Which is the third smallest value?  (a) r  (b) q  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -49*g + 355. Calculate m(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 3*i + i. Which is the third biggest value?  (a) -2\/15  (b) 4\/9  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 3:48 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 288\/32 - (1 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 21 = x, 3*x = -2*x - z. Let q be 13250\/(-4)*(3199 + x). Round q to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 1. Let s(h) = -h**2 - 12*h - 8. Let b be 0\/(-3 - 0) + (-9 - 1). Let f be s(b). Sort 2, d, f in decreasing order.\nAnswer: f, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.04 + 0.66. Let f = 3.3 - x. Let t = 2.5999983 - f. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i. Let j(m) = m. Let p(b) = 4*j(b) - 3*v(b). Let k(q) = 0 - 1 - 1 + 3 + q**2. Let n(y) = k(y) - 2*p(y). Factor n(h).\nAnswer: (h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65478 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 44.077 - 315.005.\nAnswer: -270.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 5:10 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1998, -3996, -5996, -7998, -10002, -12008?\n\"Answer: -c**2 - 1995*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*-354*(-3)\/72. What is the highest common divisor of k and 1593?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 143 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u = 134*u + 30*u - 900. What is the smallest common multiple of u and 3150?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23722 is divided by 2964?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010011001110001 - -1010?\nAnswer: 1010011001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -2 - ((-18 - (14 - 7)) + 14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2199287.\nAnswer: 233, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9349322*i**3 - 8018485.\nAnswer: -28047966*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 6*y - 26 = -8*y, 4*n = 5*y - 9. Solve -l = -3*i + 3*l + n, 5*i = -3*l + 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-224)*2)\/((-60)\/240630*13) - -11\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.003*-3\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 0 + 41 + (-450)\/50 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 392 + -171. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*j*n**2 - 2*j*n + 5904660*j + 4860*n**2 + 22*n wrt n.\nAnswer: 6*j*n - 2*j + 9720*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -67, -114, -159?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 212405226 to the power of 1\/3, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 2:14 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9135881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361 is divided by 104?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*j*n**2*o**2 + 3*j*n**2 - 5*j*n*o**4 + 2*n**2*o**3 + 29*n*o**4 - 17*n*o wrt o?\nAnswer: -120*j*n*o + 12*n**2 + 696*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 174381 and 6284.\nAnswer: 697524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*c**2 + 7*c**2 - 3359*c**3.\nAnswer: -3359*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -189 + 317. Let i = y + -84. Calculate the highest common factor of 66 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 302303.9 and -0.0408676?\nAnswer: 302303.9408676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 846220 and 1269330?\nAnswer: 2538660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 25222761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 45925 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856659997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -28983 divided by -2?\nAnswer: 28983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 92 and 322.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5850470 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -88800 + 3197575\/36. Let c = -20\/9 - h. What is the common denominator of c and 20\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 3 = g. Let o(a) = -10*a**2 + 6*a + 10. Let p(y) = -y**2 + y + 1. Give g*o(c) + 8*p(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17109857 and 402?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.541 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3298289+2\nAnswer: 3298291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x**2 - x**2 + 21*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u + 39. Let b be o(-36). Suppose 0 = b*s - 4*g - 24777, -10*s - 33058 = -14*s - 2*g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -23436357280 minus -0.3?\nAnswer: -23436357279.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k + 2. Let j(s) = 17*s + 38. Let l(f) = -9*f - 22. Let p(h) = -3*j(h) - 5*l(h). What is -7*d(q) - 3*p(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*4\/(-12)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**2. Let o = -161 - -1246. Let h be (-2)\/8 + (-4341)\/(-4). Let g(x) = o - h - x. Give g(p(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -365*g - 20 = -360*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 9:33 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9644330 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 20. Let u be (102\/z)\/((-21)\/(-280)). Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 - -16.7. Let c = 6 + h. Let l = 0.1 - 0.3. Sort 4, c, l.\nAnswer: c, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8166127*c*h**2*w - 2*c*h*w - 13686*c*h + 7*c*w + h**2*w - h*w + w wrt h.\nAnswer: -16332254*c*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9, 2006, -1\/13, 6\/53?\nAnswer: 2006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -54*i**3 + 7*i**2 - 61*i - 70. Give j(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 11:34 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 7 + 3)*(0*w**2 - 4*w**2 + 2*w**2) + 10*w**2 + 35*w**2 + 29*w**2)*(164 - 111*w - 164).\nAnswer: -8658*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.860797 and -1.7070778?\nAnswer: 2.5678748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 21*o - 25*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 287 times -84?\nAnswer: -24108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of f**4\/24 + f**3\/2 - 9*f**2. Let r be z(2). Solve 3*h - 3*y - 2 + r = 0, -2*h = -y - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7302102 and 678.\nAnswer: 825137526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 5*o - 20, 0*o = 2*o + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 341 and 366?\nAnswer: 124806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jnh when three letters picked without replacement from {n: 2, h: 2, s: 1, k: 4, j: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jsivf. What is prob of picking 1 s, 1 j, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43 + -32. Suppose 0 = s - 4 - r. Find the common denominator of s and 37\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(50) + 2)*-2 + 5*(-1 + sqrt(50)) + sqrt(50))**2.\nAnswer: -360*sqrt(2) + 879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -720, -11, -3 in increasing order.\nAnswer: -720, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4\/5  (b) -6\/29  (c) 24.942\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -5*z + 7*z. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 46*l**2 + 147*l + 134. What is z(49)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x - 6. Let h be f(-3). Suppose 1284 = 9*l - h*l. What is l rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58\/3 + 412\/21. Let y = 1.73 + -1.7. Which is greater: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/3 + (54 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -82*i + 20. Let t be b(1). Are -367\/6 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -3*c - c - 4, -3*h = -4*c - 18. What is the tens digit of (-8152)\/(-24) + c\/(-9)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 402*n - 74*n + 35*n as s + d*n and give d.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1124*q + 1382*q = 215516 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/7 + 193*x**2\/7 + 67617*x\/7 + 3832191\/7.\nAnswer: -(x - 391)*(x + 99)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -69, -118, -161, -192, -205, -194, -153, -76?\n\"Answer: z**3 - 3*z**2 - 47*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*p + 3196 = 126*p - 164 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3158359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/4 in 14, 2, 1.9, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 1. Let n be 4*(99\/(-12))\/1. Let h = 102 - n. Calculate the highest common factor of z and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 2*h. Let w be g(-2). Suppose w*t - t - 7 = -v, 29 = 3*v + t. Suppose v = -2*l + 27. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29113127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 9*q + 2. Let j be 3\/(-9)*9\/(-1). Suppose -2*w - 9 = -0*r + r, -w - r - j = 0. Is 8 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32810 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9 - 9)*3\/6. Solve x = d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/5)*z**(3\/10)\/z*((z\/z**(2\/5))\/z)**(1\/6) assuming z is positive.\nAnswer: z**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 14450, 28895, 43340, 57785?\n\"Answer: 14445*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3254672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 71 divided by 18\nAnswer: 71\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k - 2*k + 9*k - 4*k - 6. Give t(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 1:46 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4*r = -120 + 2, 0 = -4*l - 2*r + 92. What is the remainder when 97 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -105 and 2.1?\nAnswer: -220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)*-2*3)\/(sqrt(16)\/(2*sqrt(2) + sqrt(2)))*-4.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44.3 + 44.8. Which is the closest to 14?  (a) -1  (b) 0.1  (c) j  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/11 + 7346468*i\/11 - 36732290\/11.\nAnswer: -2*(i - 3673229)*(i - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 204714 divided by -18?\nAnswer: -11373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -295 (base 16) to base 4.\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 23*b + 2. Let g(v) = v. Let t(m) = 2*g(m) - w(m). What is the tens digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h - 3*h + 0*h + (-3 + 5 - 3)*(-2*h - 2*h + 2*h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 106 + -106.216. Let b = u + 0.215859. Round b to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38324144 divided by 4790518\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1386)\/36 + 38)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 4*j + 8. Let n be m(5). Which is the third smallest value?  (a) 2\/19  (b) -0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -10, 23 in descending order.\nAnswer: 23, 6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7635866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (-5 - -7 - 6) - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of -2*u**2 + 10*u - 8. What is the tens digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 1, -53559.\nAnswer: -53559, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 289 - -159. Is 56 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -37*p - 35. Let q be i(-1). Sort 4, q, 996, -1.\nAnswer: -1, q, 4, 996","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 69. Let h be c(8). Put 2\/7, h, 7 in increasing order.\nAnswer: 2\/7, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21735 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -14, 3.03, 12.99?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p - 2*p + p - 24*p**2.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 11:19 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-182) - (-138)\/299?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d6 (base 16) in base 5?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 13*i + 2*i - 1 + 0. Suppose 5*z = 4*g + 215, 0*g = 5*g + 25. What is the remainder when z is divided by t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 39*c - 5. Let n be r(2). Let b = 133 - n. Calculate the common denominator of (-219)\/b + (-4)\/(-8) and -67\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2321\/3513 + -7\/1171. Let r = 0.86 - 0.8. Let y = -2.06 + r. What is the third smallest value in z, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 200\/(-5) + 2\/1. Let o = 2074\/1341 + 4\/447. Find the common denominator of (1 - 1) + s\/(-5) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14287068 and 36?\nAnswer: 14287068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-17 + (-1024)\/(-60))\/((-15)\/72). Which is the second biggest value?  (a) u  (b) -8  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2892*i**2 + 2878*i**2 - 5775*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2994*b + 595807. Determine m(199).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -29 - ((5 - -19) + -39)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-9))\/(150\/(-20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -129.24 + 129.3. Sort -0.3, q, -3.\nAnswer: -3, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*2\/4*1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 - 8*x. Let s(p) = -3*p**2 + 33*p. Let t(f) = 5*s(f) + 21*v(f). Factor t(y).\nAnswer: 3*y*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -15 + 11 + 4\/8*4. Suppose 5 + 7 = 4*t. Sort l, t, -3 in decreasing order.\nAnswer: t, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - y + 6*y = 15, -4*y = -r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3903.8548 + 0.3.\nAnswer: -3903.5548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -142 by -351.\nAnswer: 142\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 4 = 6*i, -5*r + 11*r - 5*i + 230 = 168 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 322213030 (base 4) to base 3\nAnswer: 110012022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -v + 2280, -5*v + 600*m + 11427 = 598*m. Calculate the highest common factor of v and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1873704?\nAnswer: 2, 3, 7, 19, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/54 and -1\/315.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 8*k + 82. Does 26 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4701137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2858, -18398, -60662, -143012, -278810, -481418?\nAnswer: -764198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -8*q - 2*q - 3 - q + q + 7*q**2 + q**3. What are the prime factors of h(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 51*r - 1032. Calculate p(29).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 15*r**2 + 108 - 17*r + 5*r - 152*r + 38*r - 150*r = 0.\nAnswer: 2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**5\/60 - y**3\/3 + y. Let s(i) be the second derivative of u(i). Let v(f) = -3*f + 4*f + 2*f. Calculate v(s(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3393 and 30.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 10. Let r = -15 + 46. Suppose 0 = v - n - r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 114944 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**3 + 2*o**3 + 0*o**3 + (-o**2 - 3 + 3)*(8*o + 0*o - 5*o) + (-2*o + 3*o + 0*o)*(o**2 - o**2 - o**2) - 5*o**3 - 2*o + 2*o.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -4*n + 48, -7 = -4*n + 4*h + 57. Let q(u) = u + 1. Let a be q(3). Let f be 439\/7 + a\/n. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 + 199 + -183 - -198.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + (-7)\/(-3) + 1. Let z = 135.8 - 131.8. What is the nearest to -1 in f, z, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 4*d - 5, 4*a - 7 = 4*d - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 110011234?\nAnswer: 110011243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -716, -9241, -13 in decreasing order.\nAnswer: -13, -716, -9241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f - 3. Let t = -223 - -207. Let l = 13 + t. Determine n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*o = -7, 2*t - 6*t = -5*o - 43. Let q(w) = w**2 - w + 23. What is the remainder when q(0) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - q**3 + 0*q - 2*q + 3*q + 0*q. Let t be u(-2). Solve -3*r - 2*r - t = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2092*g**3*z - 2*g**2*l*z**2 + 3*g*l - 2713*l*z**2 + 2*l*z + 2*z**2 - 2*z - 1 wrt g.\nAnswer: 6276*g**2*z - 4*g*l*z**2 + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*n + 208 = 694 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 887449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 4641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51*7.3.\nAnswer: -372.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-8)\/24*(96\/12)\/(-1544).\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, r: 1, q: 5, h: 2, a: 7}. What is prob of picking 1 k, 1 q, and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 12) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*u = -7*u + 281, 0 = -3*u + 3. Let j = 27 + s. Let o = -43 - j. Does -2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhhhhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 518*v**3 - 112*v + 112. Let k(p) = -14*p**3 + 3*p - 3. What is 112*k(l) + 3*w(l)?\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -25281+0.4763\nAnswer: -25280.5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1904*u**3*w**2 + 59*u**3*w - 5*u**3 + 2*u*w + 2*w**2 wrt w.\nAnswer: -3808*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 12425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -849 divided by -4?\nAnswer: 849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eexenwfweyew. Give prob of sequence eexy.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.09 - -6.09. Let w = 0.09 + -5.99. Let s = w + m. Which is smaller: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 0 + 4 - sqrt(288))**2 + (4*(1 + sqrt(288)))**2 + (sqrt(256)\/sqrt(2)*-6)**2.\nAnswer: 384*sqrt(2) + 9248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -138.059 + 138. Let p = a - -0.0590978. Round p to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27499.\nAnswer: 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 70  (b) 23  (c) 0  (d) 5  (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -19. Let s(t) = -443*t - 3105. Let j be s(-7). Let r(p) = 14*p + 23. Let l(x) = 5*x + 8. What is j*r(z) + u*l(z)?\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7391.9 or 0.123?\nAnswer: 7391.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*g + 27*g - 1637 - 403 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 - 0.3. Let v be 51\/34*(-3 + 14\/4). Which is the second smallest value?  (a) j  (b) -2\/11  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*n + 6. Calculate the remainder when 44 is divided by 9 + n\/(-2)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11 + 1120*j**2 + 56*j + 11 - 10 + 11 wrt j?\nAnswer: 2240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*r + 66. Suppose l - 63 = -2*a, r + 8 = -5*l. Suppose -a = -u - 9. Solve 3*n - 2*q - u = 3*q, 5*n - 27 = q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 7*g + 20. Suppose -5*n + 8 = -3*n + q, 5*q - 4 = -g*n. Suppose 350 = n*j - j. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6 - -5)*1*166\/(-2). Let r = -46 + y. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**5\/60 + 91*m**4\/24 - 31*m**3 + 1945*m**2. Solve c(w) = 0 for w.\nAnswer: -93, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4501148435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - 2 - 2\/(-2). Suppose 4*d - 2*y - 5 + 15 = 0, -3*d - 6 = -3*y. Let u = q + d. Solve -z + u*z = -3*r + 14, 2*z = -2*r + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1498 divided by -749.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**2 + 10*f**2 + 5*f**2 + (0 + f - 3*f - 1)*(130 - 130 + 2*f).\nAnswer: 14*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 153 = -4*g, 2*g - p = 2*p + 75. Calculate the greatest common factor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1477 - 1476. Solve -o = 4*u + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5325 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 16, -2*t - t + 4*r = -127. Let c = t + -34. Suppose -4*h - 13 = 3*a, 2*h - c*a = -a - 10. Sort 5, h, -11 in descending order.\nAnswer: 5, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63 + -57. Suppose o*a = 18 + 12. Suppose -4*r + a*r - 58 = 0. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, t: 2, c: 8, d: 1, f: 5}. Give prob of picking 1 x, 1 d, and 2 t.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -20 + -21 + (-1 - 2) - -146?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25304, 202306, 682718, 1618244, 3160588, 5461454, 8672546?\nAnswer: 12945568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpkkklllll. What is prob of sequence kk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**3\/4 - 415*k**2\/8 - 26*k = 0.\nAnswer: -1\/2, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -462, -779, -1086, -1377, -1646, -1887, -2094?\nAnswer: -2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 295*j + 2931. Give y(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89125021 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - w + 1. Suppose 9*t = -2*t. What is n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) -108  (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, d: 1, l: 1, q: 1}. What is prob of sequence dq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q\/(q*q**(12\/11))))\/q*q**(-4\/13))**(-36) assuming q is positive.\nAnswer: q**(6264\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and 10610.\nAnswer: -148540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6*3\/(-6) + (-12 - -1). What is the remainder when 92 is divided by (-1212)\/g - ((-36)\/7)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -275\/999186 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 1 - (-12 + -16 + 20)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 940.2684um to nanometers.\nAnswer: 940268.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-10))\/(320\/(-3200))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418683 is divided by 222?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w + 1159 + 0*w - 209 + 852 + 499.\nAnswer: w + 2301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8663.255nm to centimeters.\nAnswer: 0.0008663255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 0.34, 2, -2, -1\/9, 189 in decreasing order.\nAnswer: 189, 2, 0.34, 2\/7, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t + 4*t + 6. Let m be (15 - (-3 + t)) + -3. What is the greatest common divisor of 117 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*b**3*s + 510587*b**3 - 1181*b**2*s - 2*b*s - 5*s wrt s?\nAnswer: -4*b**3 - 1181*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.04?  (a) -4\/5  (b) -2\/17  (c) -0.08  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16146 + 2213?\nAnswer: -13633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-1660)\/996)\/((-50)\/24)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(8\/30)*(-66)\/(-99)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 5 - (-5 + 8 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26 times -79?\nAnswer: -20.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - 1)\/(-3)*1. Let d(v) = v**3 + 10*v**2 + 9. Let i be d(-10). Suppose x - i = -n. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -6*o - 1. Let x(g) = -3*g - 1. Let z(j) = -2*c(j) + 5*x(j). Let u(y) = y + 1. Determine -11*u(d) - 4*z(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.043 + -13.957. Let f = -14.3 - b. What is the second smallest value in f, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + 11*j - 4. List the prime factors of a(-19).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -73, 3, -232, -3, -1.\nAnswer: -232, -73, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 6*j - 18. Suppose 0 = -6*t + 3*t + j. Suppose -2*g + t*g = 7. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.087017 and -0.01656.\nAnswer: -0.103577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvjtvjojuvoojv. What is prob of picking 1 j and 1 v?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 64181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42716, 42392, 42060, 41720, 41372, 41016, 40652?\nAnswer: 40280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/9*21\/(-91).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 + 69. Is 13 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (16\/(-54))\/((-4)\/(-222)). Let b = l - -319\/18. Find the common denominator of (-3 + (-75)\/(-20))*142\/30 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 7*q - 7. Let y be i(6). Let s be -1*3\/((-12)\/20). Calculate the highest common factor of y and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = -546*b + 493*b + 173 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 8*g. Suppose -4*z + 9 = -19. Let j be p(z). Suppose 4*w - j = c - 19, 3*c - 25 = -5*w. What is the remainder when 22 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-6))**(-4)\/(l**(-3\/2)*l*l)**(-20))**16 assuming l is positive.\nAnswer: l**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 572.2 + -571.8. Which is the second smallest value?  (a) -4\/7  (b) 16\/21  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*d**4 - 5*d**4 - d**4 + (4*d - d**2 - 4*d)*(0 - 1 + d + 0*d)*(-1642 + 5*d - 371 + 1023) in the form j*d**4 + q + l*d + y*d**2 + b*d**3 and give b.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = z - 3*a - 773, -2*z = -4*a - 1542. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16687420?\nAnswer: 2, 5, 23, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -92\/152229 and 29\/10.\nAnswer: 1522290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2435 is divided by 88.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f**2 - 10*f - 7. Let o be y(-8). Let i = o - -289. Let g(w) = 10*w**2 + 8*w + 2. Let j be g(-3). What is the highest common factor of j and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13633*l - 7752*l + 1621594 = 94*l - 96726 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 175160 and 260?\nAnswer: 2277080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19.5*-500.\nAnswer: 9750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 172801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5106384 and 72.\nAnswer: 5106384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mwvwvkgiwwkwvwkkkgwv. What is prob of sequence vmw?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (168\/36)\/((-4)\/6)*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(77)*-4)\/(-6*-1*sqrt(11) + sqrt(11)) + -3)**2.\nAnswer: -48*sqrt(7)\/7 + 127\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 135121 by -2.\nAnswer: -135121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**4\/3 - 3*c**2\/2 + 2*c. Let j = -137 + 146. Calculate the remainder when b(3) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23770 + -95079\/4. Which is the fourth biggest value?  (a) p  (b) -0.4  (c) 14  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 1\/2*x**3 - 2 + 0*x - 1\/12*x**4 - x**2. Let j(s) be the second derivative of i(s). What is the derivative of j(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-245)*10\/(-32)*105\/75?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -10001100110100?\nAnswer: -10001100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = 4*u + 5*i - 90, -4*u + 24 = -i for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 38*s**2 - 3*s + 297. Determine u(38).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**3 - 2*m**2 - 160*m + 5. Let b(o) = -6*o**3 + 4*o**2 + 322*o - 13. What is -2*b(f) - 5*s(f)?\nAnswer: 2*f**3 + 2*f**2 + 156*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3222 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -30\/59843201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.10448 millennia to centuries.\nAnswer: 281.0448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51925.\nAnswer: 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494 is divided by 162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*n + 139 = 629, 2*a = -3*n + 215. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -414 (base 7) in base 6?\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7050.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 7*t**2 - 7*t + 1. Let o be m(-6). Let h = o - 3. Let s be 2 - (4\/(-2))\/2. Solve -j = h*x + 8, 3*j + 16 = -x - s*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -109451.0059 + 110044.97. Let f = 594 - s. What is f rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1985 not equal to -15883\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 15 = 0, 3*g - 11 = -v - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -101010000001001100100 (base 2) in base 6?\nAnswer: -45302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (30\/5)\/((-2)\/(-27)). Suppose 0 = 2*t - 82 - 26. Suppose t = m - f. What is the highest common factor of 54 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16684244?\nAnswer: 2, 127, 32843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.4028 take away 0.1097?\nAnswer: -18.5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 9:08 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36.5 + 1051388.\nAnswer: 1051424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05541 + -21.05541. What is the fourth smallest value in l, 9, -0.4, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.098 - 0.09718. What is t rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -973722*d**2*o**2 + 35*d**2*o + 64*d*o**2 + d*o - 96162*d + 2*o**2 + 1 wrt d.\nAnswer: -1947444*o**2 + 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -18. Let d = 4 - v. Let n = -10.9 + 11. Which is the nearest to n?  (a) -1\/7  (b) d  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 2. Let t(g) be the first derivative of -g**4\/4 + 25*g**3\/3 - 22*g**2 - 45*g - 117. Let c be t(23). What is the second smallest value in 2, -7, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.47454 + -0.22.\nAnswer: 0.25454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 3*l**5 + 0 + (-5 + 5 + 2*l)*(l**4 - 2 + 2) + (2*l**3 + 0*l**3 + 0*l**3 + (0*l + l**3 + 0*l)*(4 + 1 - 4))*(-10*l**2 - 36*l + 0*l**2 + 38*l).\nAnswer: -25*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6796 = 13*v - 16799. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2)*(-29*t - 19*t + 7*t) as p*t + h and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -161*v**2 - 14*v + 9. Let x(s) = -107*s**2 - 9*s + 6. What is 8*x(l) - 5*z(l)?\nAnswer: -51*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v**3 + 75*v**2 - 77*v + 3. Give q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14203, -14354, -14605, -14956, -15407?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -h, -5*l - 2*h = -5*h - 533. Suppose 3*m - w = -5*w + 110, 3*m - l = -5*w. What is the highest common divisor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7601 divided by -691?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)*-1)\/sqrt(12))\/(sqrt(100)*2).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -3\/1373851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2755514, -2755520, -2755526, -2755532?\n\"Answer: -6*u - 2755508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 4*u. Suppose 7*m + m - 3544 = u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4260\/2485)\/((-4)\/14*1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 3.982. Let d = 284090.01799988 + -284090. Let n = h + d. What is n rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 10:39 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -9*q**3 + q**2 + 2*q + 1. Let r be (2 - 5)*(0 - -1). Let m = -4 - r. Give v(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-42)\/21 + 1*49. Suppose 4*f = 2*b - 38, 12*b - 9*b + 4*f = t. Calculate the remainder when 44 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x. Let l(c) = -2*c - 1. Let k be l(2). Let n be i(k). Let h(t) = t**3 + 5*t**2 + 2. What is the units digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -187126*r**5 - 8*r**4 - 3*r**3 + 1462108*r**2 + 6?\nAnswer: -11227560*r**2 - 192*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 32*b**2 + 47*b - 39. Calculate the common denominator of l(1) and -41\/1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15808, -29867, -43934, -58009?\nAnswer: -72092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4\/5)\/h)**(1\/5) assuming h is positive.\nAnswer: h**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -27 + -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-82991)\/(-296) + (-6)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -61.6 in -0.5, -0.2, -2\/7, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**5 - 44*b**4 + 279*b**3 + 324*b**2.\nAnswer: b**2*(b - 36)*(b - 9)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 2.9838?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p - 2*p**2 + 5*p + 7807 - 3*p + 2*p**2 - 2*p**2.\nAnswer: -2*p**2 + 2*p + 7807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.12 in 3\/28, 5, 1.3, -19\/5, 3?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Let k = 0.048764 - 0.348764. What is the nearest to -2\/9 in -0.02, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-23)\/(1\/((-83)\/(-82))). Let b = -9\/41 + u. Find the common denominator of ((-3)\/(-7) - -1) + -2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -90 and 21.05433.\nAnswer: -1894.8897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -131, -562, -1287, -2306, -3619?\nAnswer: -5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + z = 290, -418*c = -420*c - 2*z + 292. What is the greatest common factor of 444 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 - 11. Let h = n - 11. Suppose -4*v - v = -5. Sort -3, v, h in descending order.\nAnswer: v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 4*d**2 - 13*d + 12. Let j(t) = -5*t**2 + 14*t - 13. Let k(f) = 3*j(f) + 4*q(f). What are the prime factors of k(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12a73d (base 15) to base 6\nAnswer: -31112104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) -1  (c) -35  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v + 7. Calculate y(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 e when three letters picked without replacement from xtqeeooxxxjj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2663609?\nAnswer: 13, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 5. Let a be w(-6). Let y(n) = -18 - 2*n - 16 - 8*n**3 - 7*n**3 + 48 - 15. Give y(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33.9 - -25.5. Round c to one dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.62028854 and -0.6?\nAnswer: 3.02028854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.1  (b) -2\/19  (c) 0.6  (d) 0  (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l + 8. Let a be j(-10). Put a, -0.4, -0.1, 3 in descending order.\nAnswer: 3, -0.1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -1)*525\/(-85500)*-38?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.03 + -1.849. Let x = 0.038 - l. What is x rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 942.8607 + -936.36. What is m rounded to 2 decimal places?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*k - 2268 = 73*k. Put 5, k, -5, -2 in ascending order.\nAnswer: k, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (0*o + o + o)*(-1 - 8 + 10) in the form z + j*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 105548, 211930, 318302, 424658, 530992, 637298, 743570?\n\"Answer: -y**3 + y**2 + 106386*y - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 284 - 281. Solve -9 = -b + 4*a, -l*b + 0*a = -2*a - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q**2 - 24*q + 6. Give r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10220102011 (base 5) in base 16?\nAnswer: -a35e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -147*q**2 + 201*q - 264 + 16*q**2 + 264.\nAnswer: -131*q**2 + 201*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.8 in 12\/11, 5, 2, -10\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195997.\nAnswer: 195997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*sqrt(2) + 3.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/157 + 163\/471. Sort -5, 0.19, m in ascending order.\nAnswer: -5, 0.19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 82 and 11808.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*q + 237. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4928 = 104*x + 119*x + 85*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1183\/39 + (-1)\/3. Calculate the highest common divisor of 12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.072895049 to 4 dps.\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84260?\nAnswer: 2, 5, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -4*m**3 - 5*m**2 + m - 5. Let q(p) = -2*p**3 - 2*p**2 + p - 2. Let o(x) = -x**3 + 26*x**2 - 86*x - 46. Let v be o(22). Calculate v*j(s) + 5*q(s).\nAnswer: -2*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2619629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 2. Suppose i - 679975 = -3*n - 2*n, 0 = -3*i - s*n + 2039975. What is i rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -3. Let s be (-4)\/(-10) + 138\/5. Let x = -23 + s. Solve 1 + l = x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98 - -103. Suppose -m*t + 72 = -198. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1341889969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, i: 4}. What is prob of picking 1 t and 3 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7857.39nm in kilometers?\nAnswer: 0.00000000785739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2234502*z**2 - 3127827*z**2 - z**3 + 3*z**3 - 1588420*z**2.\nAnswer: 2*z**3 - 6950749*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = 701*r - 733*r + 4*z, 0 = 5*r + 3*z - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10468, -10484, -10500?\n\"Answer: -16*x - 10452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/6)\/(5\/(-3)). Let l(j) = -25*j**2 - 80*j - 17. Let m be l(-3). What is the second smallest value in s, m, 1\/6, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0.3, -0.005, -8?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 5, 3\/4, 458, 1, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -28*t + 310. Let k be v(11). Sort k, 3, -158 in descending order.\nAnswer: 3, k, -158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*f + 5 + 6 - 11 to the form b*f + q and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -25, -28, -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h**2. Let a(r) = 52*r**2 - 100*r**2 + 45*r**2. Determine g(a(x)).\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10962917 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2636 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6612 + -4.\nAnswer: -6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12213 is divided by 692.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*o**2 - 3*o**2 - 2*o**2)*(0*o + 3*o - 2*o) - 2*o**3 + 6*o - 6*o + 2*o**3 + 0 + 0 to z*o**3 + q + w*o**2 + a*o and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**6\/60 - u**5\/60 + u**4\/24 - u**3\/3 + 5*u**2. Let s(z) = z**3 + 11*z**2 + 11*z + 8. Let q be s(-10). Give t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -43  (b) 3  (c) 1\/38  (d) -3\/5  (e) 0  (f) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (104\/(-6) + 0)*(-15)\/2. Let u = -38 + r. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2*f**3 - 2)*(0*f - 2*f + 8*f) + 2*f**4 + 1 - 1 in the form n*f + k*f**2 + g*f**3 + a*f**4 + c and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 93\/9 - (-3)\/(-9). Let k = h + -13. Let l(d) = -d - d**2 + 1 + 0*d**2 + 1 - 1. Give l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(77)\/(sqrt(44)\/(-3*sqrt(4))).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 2*m - 7. Let d(o) = 2*o**3 + 5*o + 14. Calculate 2*d(n) + 5*t(n).\nAnswer: -n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8394 divided by 6?\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-16)\/(-20))\/(-3 + (-46)\/(-15)). Is 16 a factor of 1160\/t + -4*(-1)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8214 = 2*p + 5*j, 3800 + 8539 = 3*p + 3*j. What are the prime factors of p?\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11945088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/((-40)\/54)*(-32)\/48.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/1 + 10\/2. Differentiate -8*z - 3*z**4 + 8*z + i wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k - 7. Let n be p(-5). Suppose -8 = 4*j + n*m, -5*j - 30 = -3*j - 5*m. Let s(y) = -y**2 - 6*y + 5. What is s(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1239105096?\nAnswer: 2, 3, 211, 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5 - 13*f**4 + 50*f**3 - 50*f**2 - 51*f + 63 = 0 for f.\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1397\/66 - -12) + (-3)\/18?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 8. Suppose 1 = r*z - 1. Is (-16)\/(-2 - -1) - z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71342.\nAnswer: 2, 35671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 2072 - 47*u**2 - 1559*u**3 + 2*u + 1558*u**3 + 47*u**2 as i + n*u + v*u**3 + j*u**2 and give i.\nAnswer: 2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:56 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**2\/3 + i + 10\/3 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 13*u + 44. Let g be x(8). Suppose -4*b + 3*b = 3*m - 658, -4*m + 864 = g*b. Is m 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 {g: 5, t: 1, b: 1, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.1310295 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.96 + 4. Let x = m + -4.04. What is the nearest to -1 in -5\/2, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55852.9999968167 - 55853. What is g rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 3*m**2 - 2443*m - 9753. Calculate s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 6*g**2 + 7*g + 4. Let f be m(-7). Sort -0.1, 0.5, f, 0.06 in descending order.\nAnswer: f, 0.5, 0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 6359980074396.\nAnswer: 6359980074396.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/19)*p*(p\/(p\/(p\/(p*p\/(p\/(p\/(p\/p**(1\/8))*p))))))\/p*p assuming p is positive.\nAnswer: p**(-3\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u**2 + 5*u. Let k(p) = -2*p**2 - 2*p. Let i(l) = 5*k(l) + 2*t(l). Let h(w) = -24*w. Calculate i(h(v)).\nAnswer: -1152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6315 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 3*o = -236. Let u = 103 - o. Calculate the remainder when u is divided by (-1)\/4 + (-366)\/(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 32806785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -774*u + 24255 = 381*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 50 = 1. Sort 2, j, -3 in decreasing order.\nAnswer: 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 + -316\/5. Let q = -9 - -10. Let d = 3 + q. Which is the nearest to 0.1?  (a) d  (b) -5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1022\/3 + -340. Solve 2\/3 + 2\/3*m**3 - l*m - 2\/3*m**2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 93.92298 years?\nAnswer: 0.09392298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of 2557*s**8\/28 + 3581*s**4\/4 + 2*s + 674. Find the third derivative of n(t) wrt t.\nAnswer: 613680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2422 - 2422. Let d(n) be the first derivative of 0*n**2 + c*n + 1\/15*n**5 - 1\/12*n**4 - 2\/9*n**3 - 16. Solve d(m) = 0 for m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c**3 - 29 - c**4 - 10 - 2*c**2 - 2*c + 12 + 3*c**4 + 5*c to the form r + x*c**4 + o*c + m*c**3 + q*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 207*b**2 - b + 135. Let n(q) = -206*q**2 + q - 135. Let a(r) = -2*n(r) - 3*x(r). What is the second derivative of a(d) wrt d?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.19, 4, -21, -4, 2, 52, -1\/3 in descending order.\nAnswer: 52, 4, 2, -0.19, -1\/3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5745 is divided by 650?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - r**2 + r + 1. Let z(u) = -68*u**3 - 6*u**2 + u + 2. Let s(l) = -4*c(l) + z(l). Let a be s(-2). Suppose a = 6*v - 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12857 + 302660. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/1*(32 + -13). Solve -4 = -3*n - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 1\/139  (c) 1\/40  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -m**6\/180 - m**4\/6 + 5*m**3\/3 + 4. Let d(x) be the third derivative of y(x). What is the first derivative of d(q) wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u - 12 = 0. Let l be (-12)\/(2*(-2)\/u). Suppose -2*v = 2*v - l. Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (26 - 1 - -5)*24\/9 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 7*m**2 + 209*m - 125. What is the smallest common multiple of g(-31) and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 13. Let g be n(0). Let c = g - -22. Suppose 4*h - c = h. Solve h*y + 5*d - 17 = -0*y, 4*y - 19 = -3*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 3 = -5*p - 17, 30 = 5*o - 5*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 8*s + 8. Let w be y(6). Let x(z) = z**2 - z + 9. List the prime factors of x(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14632472 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**3 + s**3 - 3*s**3 + (-4*s**2 + 3*s**2 - s**2)*(-s + 2*s + s) + (s**2 + 0*s**2 - 2*s**2)*(-2*s - s + 4*s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 21*o**2 + 2*o + 1. Calculate the least common multiple of 4 and k(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.9131 to one decimal place.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1911 + -30234?\nAnswer: -28323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 1312 = 3*d, -5*d + 1146 = -3*c - 1042. What is the highest common factor of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 10:03 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*1 - 0\/(-3). Let p be (2 + o)*2\/6. Suppose 4*q = 8, 2*q - 39 = -d - p*q. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 4*o. Solve -1 = s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 8*a + 3. Let h(m) be the first derivative of -3*m**2\/2 - m - 77. Determine -6*d(n) - 17*h(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 766*n**3\/3 + 1007. Let x(w) = w**2. Calculate x(d(b)).\nAnswer: 586756*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 8*u**3 - 3*u**3 - 3*u + 6*u**3. Let l(y) = 6*y**3 - 4*y + 8*y**3 + 1498499 - 2*y**3 - 1498499. What is -6*d(a) + 5*l(a)?\nAnswer: -6*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*j + 41*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 8:23 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (2 - 4)\/2. Let z = -7 - u. What is the units digit of (-11)\/(-2) - (-4)\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j - 356 + 1219 = -352 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -52, 3, -10, 0 in decreasing order.\nAnswer: 3, 0, -10, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5131 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 201178.83 months?\nAnswer: 1676.49025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 - 9*y**2 + 5*y + 7. Calculate l(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + n - 6, 4*n + 0 = 8. What are the prime factors of 0 + (1068 - (9 + b))?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2605 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -942652*r + 942652*r - 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.6184 - 5.049. Round p to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -228, 2, -1 in descending order.\nAnswer: 2, -1, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -257 >= -11091\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-6))\/(-5)*(-30)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/12)\/((t*t\/t**(13\/5)*t)\/t))**(-2\/27) assuming t is positive.\nAnswer: t**(-31\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from cclnlllcn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8146, -8151, -8160, -8173, -8190?\n\"Answer: -2*a**2 + a - 8145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/510 and -163\/120?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**5 + 184*m**4 + m**3 + 7121*m**2 wrt m.\nAnswer: 120*m**2 + 4416*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.02928 and -181.\nAnswer: -181.02928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 136 + -136.4. What is the closest to -1 in -4, 52, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -14*j**4\/5 - 121*j**3\/15 - 8*j**2\/5 + 4*j\/5 - 90. Let l(u) = 0. What is u?\nAnswer: -2, -2\/7, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7204\/18 - (-2)\/(-9). Suppose -32*j = -7*j - v. Calculate the least common multiple of 88 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102518467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of 11*q**6\/90 - 2*q**3\/3 + 9*q**2. Let s(n) be the first derivative of l(n). What are the prime factors of s(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1031 in 14, -4, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hnen when four letters picked without replacement from {b: 1, e: 1, h: 1, n: 2, o: 2, z: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*a*n**3 - 14*a*n**2 + a - 150*n**3 - 58*n**2 wrt n.\nAnswer: -42*a - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -4 + 8\/(-12)*-1461?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -36, 3, 2, 2325, 1 in decreasing order.\nAnswer: 2325, 3, 2, 1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -5*i - 26, -4*i - 31 = -4*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 4 - 4)*(-3*p**2 - 2*p**2 + 4*p**2) - p**3 - 3*p**3 + 5*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39128 by -146.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 12 = 2*r, -3*r = -2*w - 105 + 119 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -4\/17  (b) -0.1  (c) 1\/3  (d) -4  (e) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**3 + 3*f - 3*f**2 + 2*f**2 + f**2 to the form v*f**3 + j*f**2 + h*f + s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1c794 (base 14) to base 10\nAnswer: -72846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40310*z - 40321*z - 40311*z - 40311*z + 161267*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of s**6\/360 + s**4\/12 - 4*s - 2. Let w(y) be the third derivative of i(y). Let h(o) = 5*o + 16. What is w(h(t))?\nAnswer: 10*t + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8222850 (base 9) in base 3?\nAnswer: -22020202221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8152 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: List the prime factors of -5 + 8491 + 0 + -6.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 239*a + 1262. What is the tens digit of y(63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2344836 millennia in months?\nAnswer: 2813.8032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/(-2)*52\/(-65). Let h(r) = r - 3. Let d be h(5). Let b be (2 + 1)*(-7)\/3 - -3. Sort d, b, p in decreasing order.\nAnswer: d, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 4 - -4) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 114 = -2*o, 7 - 5 = o. Suppose -43*y + z*y = 48. Solve -y*r = 2*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.11 and -3403489185636.\nAnswer: -3403489185635.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*p**2 - 147*p**2 + 264*p**2 - 8 + 2.\nAnswer: -5*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from {i: 6, b: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 2*d - 5. What are the prime factors of o(9)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1716500 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -3028.\nAnswer: -3028, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 2*o**4 + o**3\/3 - o + 2. Let c be j(1). Let p(i) = 3 + 1 - c + 5*i + 1. Let k(y) = 4*y - 2. Determine -3*k(u) + 2*p(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-5))\/(13*(-28)\/(-910))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -963*b - 4331*b - 96 + 96 to the form p + c*b and give c.\nAnswer: -5294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*d - 91*d = -52*d + 136*d + 5187 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -1298?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -3313?\nAnswer: -3313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 - -59. Suppose -5*c + 14 = l. Calculate the remainder when 9\/(-3) + 79 + c is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 64.7 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2203310031 (base 4) to base 15\nAnswer: d3c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = -140*l + 137*l + 6*b, 6*l + 4*b = -50 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 - -0.1. Let n = 670 + -670. Which is the nearest to -1?  (a) n  (b) 0.4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g - 146 + 6 = 111 + 90 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13929199337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80518.\nAnswer: 2, 127, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(99) - sqrt(99)) + 5 - 6*(sqrt(99) + -2))**2.\nAnswer: -510*sqrt(11) + 2764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-1 - 1) - (5 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (8 + -8 + (28 - 9))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 20\/52453?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-130)\/6 - (132\/(-18))\/11. Suppose 3*a + 117 = 6*a. Let v = s + a. What is the remainder when 34 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (44 + 36 - 60)*(4 + 0 - 3)*(0 - 2 + 0)*(-18*t + 7 - 7) in the form k*t + b and give k.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {q: 5, z: 1, v: 1, u: 3, n: 10}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 2*x + 5*x)*(1 + 1 - 2 - 1)*(-13 - 4 - 12).\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.4 and 0.02359503.\nAnswer: -0.033033042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 153.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54*f**2*t**2 + 2*f*t**2 - 116*f wrt f.\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 17*w**2. Let c(o) = 319 - 6*o - 319 - o - 2*o. Give c(s(y)).\nAnswer: -153*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1152 and 1881.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25390525 to the nearest integer?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -527\/4187?\nAnswer: -527\/4187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -30048 divided by 7512?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 304351520 (base 7) to base 6.\nAnswer: 1434041055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 6:16 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 202, 679, 1606, 3133, 5410, 8587, 12814?\nAnswer: 18241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/3))**28\/(c**(2\/3)\/(c*c*c*c\/(c**(-6)\/c)*c)))\/((c**0*c)**34*c**(-2\/15)\/((c**(5\/4)*c)\/c)) assuming c is positive.\nAnswer: c**(-799\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 8:23 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(-3 - 5*d**2 + 3) + 19*d**2 - 80 + 80 + 4 - 4 - 2*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y + y - 3*y)*(-698*y + 698*y + 703 - 2*y**2) to the form q*y**3 + z*y + m*y**2 + v and give z.\nAnswer: -1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1176929910 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + -5 - 2*5. Let x(y) = -17*y**2 - 10*y + 12. Let o(a) = a**2 - 9*a + 1. Let v(z) = -o(z) - x(z). Is v(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-4 - -2 - (1 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + ((-3 + sqrt(153) + -4)**2 - (1 + -1 + sqrt(153) + sqrt(153))).\nAnswer: -48*sqrt(17) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13222 - -21443?\nAnswer: 5221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 54 = -4*c. Suppose 5*h + 70 = 2*y, -2*h + 18 - 14 = 0. Calculate the greatest common divisor of c and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15835, -31671, -47507?\nAnswer: -63343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48 or 89?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*c**5\/4 - 1413*c**4\/8 - 2495*c**3\/8 + 955*c**2\/8 + 297*c\/8 + 9\/4 = 0.\nAnswer: -6, -3, -1\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-108)\/(-99))\/((51\/22)\/17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x + 4*x**2 - x**4 + 2*x**4 + 0*x**3 + 2*x**3 - x**2 as p + j*x**3 + b*x**2 + t*x**4 + v*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 + -36. Suppose 3*s = n*y + 10, -4*s = -9*s - 25. Which is the nearest to 0?  (a) y  (b) 3  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -51201\/4165?\nAnswer: -51201\/4165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 135 + -16?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -3581.94 to the nearest 10.\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -223353410?\nAnswer: 223353405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(2816))\/(3*sqrt(36))*1)**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 3*n - 8340, -12 = -4*n + 8. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -22 + 16 - 3*o + 4*o. Let s(n) = -2*n + 2. Let b(a) = -3*a + 3. Let c(p) = -5*b(p) + 7*s(p). Calculate 4*c(l) - z(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r - 3*r + 6 + 0 + 6*r.\nAnswer: 9*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*f - 128 + 18 = -2*f. Let r(k) be the second derivative of 55\/6*k**3 + f*k**2 + 13*k - 65\/12*k**4 + 0. Suppose r(u) = 0. Calculate u.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - u + 6 = 6*r, -r - 2 = u. Solve h + 3 - 4 = 0, -2*h + 12 = r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -4*m**2 + m + 2. Let r(l) = -l**2 + 1. Let x(i) = -4*r(i) + 2*y(i). Find the second derivative of x(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 530 + 30?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.61911 to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d + 6 = 10*d. Let u(c) = c**3 + 5*c**2 - 3*c - 1. Let v be 74\/(-14) + 2\/7. What is the lowest common multiple of d and u(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1581, 3175, 4767, 6357, 7945, 9531, 11115?\nAnswer: 12697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -182, -243, -294, -329, -342, -327, -278?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 6583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -750 - -8256\/11. What is the biggest value in -10, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00173755 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*3*(-3*sqrt(11))**2.\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/9)\/(20\/(-8)*(-3)\/(-315)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 t when four letters picked without replacement from {y: 4, t: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9b (base 12) to base 4\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 63 + -26. Let f(t) = t**2 + 4*t + 1. Calculate the remainder when u is divided by f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -5*y + 1. Let n be z(1). Suppose -5*j = -3*j - 14. Let o(m) = 2*m - 15. Let s be o(j). Put n, s, 1 in ascending order.\nAnswer: n, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 909, 758, 641, 570, 557, 614, 753?\n\"Answer: 2*y**3 + 5*y**2 - 180*y + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*v**2 - 6*v**2 - 259 - 125*v + 259 - 9*v**2 as m + i*v + t*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5550*o**2 - 660535*o + 10115 = 0.\nAnswer: 17\/1110, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 1. Let f be v(1). Let m be f\/((-8)\/28) - -1. Let k(o) = o**3 + 7*o**2 + 4*o - 7. What is the remainder when k(m) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/573 and 49\/1836?\nAnswer: 350676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 + 1219*z + 49743. What is w(-44)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2288.6 and 2.\nAnswer: 4577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uqd when three letters picked without replacement from {a: 1, u: 2, q: 1, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 100221 (base 3) to base 11\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 16 = -4*a + 3*y, 3*a - 11 = 2*y. Which is smaller: 2\/3365 or a?\nAnswer: 2\/3365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 846 - 3450 = -79*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 52*f**2 + 70*f + 6701. Determine m(-12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (sqrt(468) - (-1 + 2 + sqrt(468)) - (sqrt(468) + -4*(-2 + sqrt(468)))**2))*-2.\nAnswer: -25674 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -4*i - 783 + 790, 6 = 2*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85*r - 1 - 37*r - 39*r to t + q*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 - 111 - 2*y - 122 - 56 + 0*y.\nAnswer: -2*y - 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2156) + -1*sqrt(2156) + sqrt(2156))\/(sqrt(324)*-3) + (sqrt(660)\/(sqrt(72)\/sqrt(6)))\/(sqrt(80)*1))**2.\nAnswer: 11\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - (-14 + 8)) + (-5 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18*-0.459.\nAnswer: -0.08262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 22 - (-1 - (-18 + 10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16783 - 16786. What is the fourth smallest value in -0.5, 284, a, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2 + 12245622*z - 24491256.\nAnswer: 3*(z - 2)*(z + 4081876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 370 and (-2)\/(-8) - (1194\/(-32))\/(9\/12).\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -71.7 in 2\/63, 0.2, 7, 0.21?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**3 + 6*w**2 - w + 5. What is p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -857, 75 in ascending order.\nAnswer: -857, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 787700 and 7877000?\nAnswer: 7877000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2556 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ftllmlmfffmllmt. Give prob of sequence lll.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1502 = -3*l - 5*q, 0*l - 5*q = 4*l - 2001. List the prime factors of l.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 122*y + 110. Let k(p) = -p. Calculate k(z(n)).\nAnswer: -122*n - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 132*u**3 - 172*u**3 + 4*u - 3 + 42*u**3 - u**2. Calculate b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1558346870 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 707 + -360. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.5, -5378, -5, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 225221605 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/16 and -109\/29148.\nAnswer: 116592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 2 j, and 1 n when four letters picked without replacement from jjffffjn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/55)\/(20\/1100)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 17 = -i, 32*d - 4*i = 34*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 6 = -5*n. Suppose 86 = -n*i + 14. Let m = -133 - i. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16401940 = 11*y + 14*y - 6*y. Round y to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of 64*v**5 - 6 - 64*v**5 + v**2 + v**6. Find the second derivative of k(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x - 91*x - 182 - 1168 = 54*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 9*f**2 - f - 9. Let o be j(-9). Suppose -2*n + 9 = 2*p - 7*n, o = -n - 1. Find u such that 0*u**3 + 2*u**4 + u**3 - 6*u**p - 5*u**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-105)\/10*(-432)\/(-14). Let f = -39 - b. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 + 8*k + 9. Let q be o(-8). Let h be q\/2 - (-11)\/(-22). What is the smallest value in 2, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 2*o - 1. Let v be c(-2). Let f be 1 - (v + -1)\/3. Find the common denominator of (460\/(-192) - f)*-3 and -143\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from sqreksx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 12 = -7*j. What is the remainder when 62 is divided by (44 + -2)\/(j\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 23*p**2 + 10*p - 2. Let n(m) = -68*m**2 - 48*m - 5. Let j(t) = -16*t**2 - 11*t - 1. Let l(f) = -9*j(f) + 2*n(f). Give 7*l(u) - 2*y(u).\nAnswer: 10*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4294847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 292500 and 56250?\nAnswer: 1462500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 3*n + 141 = -3*z, n = 5*z - 229. Suppose 5*w - 20 = 0, 2*o + 24 = 3*w + 110. Let d = o - z. Solve 0 - d = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 19*g + 185. Calculate the remainder when l(-19) is divided by 338\/7 + 2\/(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 373 + -369. Which is the nearest to -0.1?  (a) 0.5  (b) 2\/9  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1233023 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*p = -527, 3*p - 3 = 6*p. What is the least common multiple of 16 and m?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1384 - 1367. Suppose -40 = -4*l - 0. Suppose -l = -g*y + 15*y. Solve -1 + y = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6587, -26789, -46991, -67193, -87395?\n\"Answer: -20202*d + 13615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -521364 divided by -6.\nAnswer: 86894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -125 - -304. What is the third biggest value in n, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i. Let p(z) = -8 - 65*z - 56*z + 121*z + 6*z**2. Calculate t(p(l)).\nAnswer: 12*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eckaka. Give prob of sequence aec.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2877\/370 + 23\/185. What is the common denominator of l and -23\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.96 minus -1.39?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/11 and 11\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 9:36 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 13 = -2. Let s = 0 - c. Is 8 a factor of 640\/s*((-2)\/2)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47411404693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-3)*8\/21*1\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190)*5*2)\/(1*sqrt(90) + sqrt(90)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 41*v**2 + 84*v - 127. What is r(-43)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**25*q\/q**(1\/6)*(q**(-5\/2)*q*q)**(-8) assuming q is positive.\nAnswer: q**(179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 226 = -4*r - 238, j + 1 = -r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*i + 7 - 7)*(3*i**3 + i**3 - i**3).\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d**(-1)\/d*d))\/d)\/((d\/(d*d*d**(-26)*d*d))\/d))\/(d\/(d*d**14*d)*d)**(2\/3) assuming d is positive.\nAnswer: d**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 7*c - 1. Let b(i) = -15*i + 2. Let p(g) = 6*b(g) + 13*h(g). Let n be p(3). Let f(v) = 2*v + 4*v - 2*v**2 - 3*v. What is f(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p + p - 3. Suppose 0 = -6*m + 3*m + 18. Suppose t + 95 = m*t. Solve -i + t = -4*c, -3*i + i = -p*c - 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 4)*(-7)\/(-3). Let l(w) = w**2 - 8*w + 10. Let p be l(7). Let i = p - 3. Solve -3*h + s - 22 = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 17*j**2 + 20*j + 1. Let b be w(18). Let u = -33 + b. Find the second derivative of -8*m - u*m**5 + 2*m**4 - 4*m**4 + 2*m**4 wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from {d: 5, f: 3, u: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/(-54) + 232\/9. Find the first derivative of -v + 40 - 47*m**2 + 19 + 23 wrt m.\nAnswer: -94*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 20*r**2 + 80*r + 43. Let b be k(29). Suppose -14*c = -c - b. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5982160, 5982162, 5982166, 5982172, 5982180?\nAnswer: 5982190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 33*d**2 - 4*d + 4. Let o(g) = -16*g**2 + g - 2. Calculate -5*o(s) - 2*w(s).\nAnswer: 14*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 6*n - 119. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 7.5. Let n = -28 - -27.7. What is the smallest value in 1\/11, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 5, -14\/15, 3?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j**3 - 40*j**2 + 38*j + 161. Let f be n(13). What is the highest common factor of 246 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 5  (c) -0.6  (d) -3\/7  (e) -1455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 17, p: 3}. What is prob of picking 2 d and 2 p?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 11)*(-2 + 3*f + 2 + 2*f - 2*f + 2*f + (2*f + 0*f - 3*f)*(3 - 1 - 4) - f - f + f).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1*sqrt(1088) - ((sqrt(153) + sqrt(153)*2)\/sqrt(9))**2).\nAnswer: -148 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287*i + 3486 - 329 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*w - 20 = 88*w. Let y(j) = -j**3 - 3*j**2 + 5*j. What is y(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43202\/161 or -268?\nAnswer: -43202\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.03, -8, -28920?\nAnswer: -28920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (40\/260)\/(4\/(-37)) and 9\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 7. Suppose -5*o + 0*o = 15. Let i be (o\/1)\/(-3) + 7. Let l(t) = -6*t - 6. Let w(m) = 2*m + 2. What is i*w(s) + k*l(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2253 and -2168462.\nAnswer: -2166209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 5*i - 12*i. Let b be 7*(i\/(-28))\/3. Let f = b + 4. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542287584?\nAnswer: 2, 3, 101, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163*b - 29*b + 42*b.\nAnswer: 176*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is p in p**4\/5 - p**3\/5 - 16*p**2\/5 - 4*p = 0?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 239326, 0.1, -7?\nAnswer: 239326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/6)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r - 34*r - 481 = 1199 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 153841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 24152446.9 rounded to the nearest 100000?\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.831 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*b = -13, -b - 9 = -0*p - 3*p. Solve p*a + 2*a + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-4*(-3*(sqrt(17) + 0 + sqrt(17)) + (sqrt(153))**2*3)*-3.\nAnswer: -16524 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 16.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 272 + 300. Suppose 1184 - 496 = 46*f - 784. Calculate the remainder when v is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/38181 and 11\/21.\nAnswer: 267267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -294218000 rounded to the nearest one million?\nAnswer: -294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8824 is divided by 4371.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92495109.\nAnswer: 3, 7, 307, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1135174 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 469 and 14287357.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 3:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1416 divided by -472?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 2*r, -5*d + 55 = 2*r + 19. Suppose 124 = 3*t + t. Suppose 4*s - x = t, s = d*s - 3*x - 44. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 803*m - 2. Let v(c) = -816*c + 3. Determine -4*h(i) - 3*v(i).\nAnswer: -764*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -772 (base 12) in base 7?\nAnswer: -3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -18*t**3 + 2954*t**2 - 2942*t + 660. Let m(n) = -36*n**3 + 5909*n**2 - 5886*n + 1324. Let c(y) = -5*j(y) + 2*m(y). What is r in c(r) = 0?\nAnswer: 1\/3, 2\/3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t**3 - 3*t**3 + 4*t**3)*(208*t - 79*t + 166*t)*(2 - 2 - 5).\nAnswer: 4425*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 AM and 1:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(8)\/(3*sqrt(2)) + sqrt(4)))\/(-5*(sqrt(128) - (sqrt(128) - -3*sqrt(128)))) + 2)**2.\nAnswer: -2*sqrt(2)\/45 + 16201\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 1\/10, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/20 - (28\/(-35))\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/4)\/((k\/(k\/((k*k**6)\/k*k)))\/k))\/(k**0\/k)**(-31))\/((k**1)**(-2\/5)*k**2\/(k\/k**(-7))) assuming k is positive.\nAnswer: k**(-617\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34203, 68396, 102589, 136782?\nAnswer: 170975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -322?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 1:28 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1812980?\nAnswer: 2, 5, 13, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s + 4 - 2 + s + 5.\nAnswer: 6*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -39 * -55086\nAnswer: 2148354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -4\/105*i**6 + 0*i**2 + 3\/35*i**5 - 2\/21*i**4 + 0 + 1\/21*i**3 + i + 1\/147*i**7. Factor l(a).\nAnswer: 2*a*(a - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -295*o + 130680 = -196*o. List the prime factors of o.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196966265?\nAnswer: 5, 67, 587959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, u: 3, y: 2, w: 1, g: 5, c: 3}. What is prob of picking 2 u and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42210 and 6255270.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30317656.\nAnswer: 2, 3789707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3*j = -123, 5*j = -13*k + 15*k - 110. Let u(x) = -2*x**2 + 5*x**2 + 44*x - k*x + x**3 - 2*x**3. Calculate u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -12*s**2. Let y(b) = 117311 + 9*b - 117311. Determine y(c(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 9*k**2. Let a(x) be the first derivative of x**2\/2 + 12. Determine a(s(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 11. Let z be i(-6). Let n = z - 3. Factor -2*d**2 + 0*d**n + 5*d**2 - d**2 - 4*d.\nAnswer: 2*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-27) - (-3014)\/396) + (-4)\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 10*n**2\/13 - 4215962*n\/13 - 41317388\/13 = 0?\nAnswer: -49\/5, 421606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (54\/63)\/(10*10\/175)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2*1638\/(-63))\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(70) - sqrt(70) - sqrt(70))\/sqrt(2))\/(sqrt(343) + sqrt(343)*2 + sqrt(343) + sqrt(7)) + 6*((-2*sqrt(405))**2 + 0).\nAnswer: 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 0 + l**2 + 4\/3*l**3 + 1\/12*l**4 - 2*l. Calculate the smallest common multiple of g(-8) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 10 = 0, -h = -7*a + 6*a - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -677 + 696.09. Let r = -19 + j. Suppose 35*o + 22 = 46*o. What is the third smallest value in r, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -128*w + 33. Let v be g(-2). Let r = v + -211. Calculate the greatest common factor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -81, 1, 3, -5 in descending order.\nAnswer: 5, 3, 1, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 2*p + 2. Let n(q) = -q**3 + 3*q**2 - 4*q + 2. Let a be n(5). Let b = -61 - a. What is the remainder when b is divided by s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 305 and 17.\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 196, 1810, 6232, 14866, 29116, 50386, 80080?\nAnswer: 119602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(-1)\/4*-4. Suppose 2*i + 0 = -o*a + 2, -10 = 5*i. Suppose -u - 1 = -v - 2, v = -a*u + 8. Calculate the highest common divisor of 21 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14118744 by -4706248.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + -0.0206. Round s to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.93053 years to millennia.\nAnswer: 0.09593053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 6*u + 24. Let j(h) = h**2 + 8*h - 8. Let b be j(-10). Is u less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - 9*m - 20. Let z be l(6). Let d = 39 + -276\/7. Let y = 9 - 151\/17. Sort y, d, z, -1 in descending order.\nAnswer: y, d, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*sqrt(44)\/sqrt(4) + sqrt(11) - sqrt(22)\/(sqrt(2) + sqrt(12)\/sqrt(6)) - (-1*sqrt(1584)*-2 - 2*sqrt(1584)*-6))**2.\nAnswer: 1205167\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d**1)\/d)\/d)**(-2\/3))**42\/((d*d\/d**(1\/3))**(7\/4)*d**(-5)*d**1*d) assuming d is positive.\nAnswer: d**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001871 to 6 decimal places.\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -157 + 159. Let n = -4743 + 4740. Suppose 5*g = -3*d - 0 + 22, d - 5*g + 6 = 0. Put n, d, 7, h in decreasing order.\nAnswer: 7, d, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1031515.\nAnswer: 5, 206303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30604 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1927 and 4559.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 37*x = -169 + 659 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5954590 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/(sqrt(16)\/sqrt(8)))\/(5*sqrt(48)\/sqrt(8)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 488 is divided by 207?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 1491?\nAnswer: 1\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 5:57 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -269.94 plus 37401?\nAnswer: 37131.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*h**2 - 4*h**6 - 6*h**2 - 3*h**6 wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -106, -246, -442, -694, -1002?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/35 and 51\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5450 + 5455. Let c(r) be the second derivative of 383*r**5\/20 + r**4\/3 + 5*r**3\/6 + r. Let x be c(h). Round x to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 261195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 7*t**3 + 45*t**2 + 181*t + 155. Let k(m) = -9*m**3 - 46*m**2 - 182*m - 160. Let n(s) = -4*k(s) - 5*r(s). Factor n(v).\nAnswer: (v - 45)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 59916 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-7 - 6) + -5 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1351220539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/5)\/(45\/(-75)*(-45)\/(-27)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 48, -5, 221, 17, -1 in ascending order.\nAnswer: -5, -3, -1, 3, 17, 48, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -4 + 7 - (2 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 28264*d**2 + 43769404*d - 15436520720.\nAnswer: -4*(d - 677)**2*(d + 8420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -36175 + 2?\nAnswer: -36173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**2 + 6*i - 4. Give a(10).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 11*h - 2. Let v(q) = 5*q - 1. Let c(a) = -4*m(a) + 9*v(a). Let l(t) = -2*t**3 - t - 1. Give c(r) + l(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 59179761*-2\nAnswer: -118359522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from {i: 2, f: 1, d: 1, j: 1, e: 3, n: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 10 + 1 + 7 + 2*b**3 - 17*b as o + v*b + p*b**2 + r*b**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 5*a + 6. Let s be c(4). Suppose k + s*k = -2*o + 15, 4*k - 20 = 0. Suppose o = -p + 5*p - 2*j - 2, 3*p = 5*j + 5. Solve -g = -p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 11 - 74 = 0. Suppose 7*j - 36 = -4*n, 3*j + 46*n = 45*n + 9. Is j bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -4*m**3 + 1780*m**2 + 67968*m + 623376 = 0?\nAnswer: -18, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 719475880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dwsojjjwws. What is prob of sequence wd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r**2 + 8*r + 2. Let n(x) = -13035 - 6*x - 20*x + 3*x + 16*x**2 + 13029. Determine -6*n(t) - 17*o(t).\nAnswer: -11*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**2 + 6*h + 30. Let q(z) = -z**2 - 2*z - 9. Let i(o) = -2*k(o) - 7*q(o). Let y(c) = 21*c**2 - 15*c - 21. Determine 15*i(r) + 2*y(r).\nAnswer: -3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of 40*f**3 + 268*f**2 + 2*f + 351. What is the derivative of u(h) wrt h?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4)*t*t*t*t\/(t\/(t**7*t))*t*t*t)\/((t**(-9)*t*t)\/(t\/(((t**19*t)\/t)\/t))) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 394 + -129. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37735968 divided by 1572332.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17.32 + 18. Let j = z - 0.2. Let v = j - 0.4799962. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.9 and -310.\nAnswer: -308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, o: 5, x: 2, u: 9}. Give prob of picking 1 x, 2 o, and 1 y.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122*c - 132*c = -240. Suppose 0 = 3*z + 71 - 491. Suppose 0*g = -2*g + z. Calculate the remainder when g is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-136)\/32 + 6*(-5)\/40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (3 + -1 - (16 + -15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*0.266.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*(x*x**(4\/11)*x)\/x)**(1\/11)*(x*x\/x**(3\/4)*x)**(-46))**(2\/17) assuming x is positive.\nAnswer: x**(-1469\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 + 6*o**2 - 2*o**2 - 9.\nAnswer: 2*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 39, 22, 1\/4, 2815.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 157999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2 - 14889*x + 341424. Calculate f(23).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -7*s**6\/6 + 9*s**2\/2 + 18. What is the second derivative of q(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8477 - -25429\/3. What is the nearest to -0.2 in 1, -912, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1779?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, i: 1}. What is prob of picking 1 i and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**4\/12 + y**3\/6 - 3*y**2\/2 + 2*y. Let p be 90\/20*2\/(-3). What is a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 - -1.1. Suppose 0 = -155*s + 143*s - 204. Let b be (-3)\/1 - -66*s\/(-357). What is the closest to y in -2\/9, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from -0.0189909.\nAnswer: -4.0189909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 22*k - 33. Let o be l(3). Suppose o = 9*m - 3. Suppose 0 = 4*f + 4*j - 172, -4*j = -m*f + f + 164. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22223432 divided by 5.\nAnswer: -22223432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 8. Let a(o) = -4*o + 25. Give -4*a(v) - 14*n(v).\nAnswer: 2*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -156 + 161. Let m be 13\/((-91)\/(-84)) + a\/(-1). Solve -4*w - 20 = 2*z, -4*z - 8 = 3*w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4924967 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + 3 + sqrt(2)*1 - sqrt(14)\/(sqrt(7)*-1).\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6797.7 + 7386. Let c = -619 + d. Round c to 0 decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 2*h = -40. Let o be 2 - h - -2 - -8. Suppose 5*f + 3*s - 87 = 0, -o*f + 87 = 3*s + 15. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11133 - 44542 + 47*h + 11137 + 11131 - 42*h + 11141.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 47 = 3*r, 2*r - 4*i - 77 + 29 = 0. Suppose 0*t + 5*t - 20 = 0. Solve 6 = t*p + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 6*j - 10. Let f be h(4). Suppose 0 = 4*q + 3*q - f. Solve 0 = 4*r - 2 - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -171877\/24 smaller than -7161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*x**3 + 14*x - 7*x - 7*x + 74*x**3 - 139*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2\/5, -1\/3 in decreasing order.\nAnswer: -1\/3, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 2*d + 23 - 182, -52 = -v - d. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2922)\/414 - -7)\/(2\/3). Let x = v + -9\/161. Let o = 6 - 8. Which is the nearest to -1?  (a) -5  (b) o  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*v = 8. Suppose 4*r + 24 = v*w, 2*r - 42 + 0 = -2*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o**3 - 16*o**2 - 75*o - 101. List the prime factors of t(-18).\nAnswer: 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**3 - 8*l**2 - l - 6. Let z be n(-3). Let k be 3*(4\/42 + (-12)\/z). Solve 2*x = -k, -33 = 5*u + 3*x - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38a58a (base 13) to base 8.\nAnswer: 5152460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j + 22. Let p = -94 + 94. Suppose p = 4*h - 9990 + 3662. Let n(r) = r - 2*r - h + 1582. Give n(w(m)).\nAnswer: m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 5*x - 1. Let h(p) = -4*p - 1. Let v(o) = -20*o - 6. Let w(f) = -11*h(f) + 2*v(f). Let d = 1 + -3. Give d*k(q) + 3*w(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23743 is divided by 321?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, p: 2}. Give prob of sequence pwp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 2*k - 217 + 45, 115 = 3*b + 2*k. Let z = 42 + b. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/30)\/((-2)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 divided by 2?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x**(2\/15)*x))\/x**(8\/7))\/(x\/(x*x*((x\/x**1)\/x)\/x*x)*x\/(x*x**(2\/27))))**(-2\/19) assuming x is positive.\nAnswer: x**(2272\/17955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 1)*(-44284*o + 44284*o - 116*o**2) + (1 - 1 + o)*(o + 2*o + 3*o) to the form q + h*o + p*o**2 and give p.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 4, -4.\nAnswer: -4, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -0.6 in increasing order.\nAnswer: -1, -0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (3 + -6)) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5 - 11. Let p be ((1827\/(-3))\/(-7))\/(-2 + 1). Let k = p - -89. Solve j*a - 6 = x, 0 = -5*a + k*x + x + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000010000111 + 100?\nAnswer: -100000010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 + 241 + 1062 = 357*d. What is the remainder when 2358 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 11, e: 2}. What is prob of sequence eii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10572 divided by -407?\nAnswer: -10572\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1350 and 2659230.\nAnswer: 13296150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 8*f + 2. Let i be o(-7). Let w = i - -68. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -28. Let i(z) = z + 1. Let y(c) = 39*c - 7. Let d(g) = 6*i(g) + y(g). Is 22 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6345 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 1420 in decreasing order.\nAnswer: 1420, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 2*a**2 - 5*a - 3. Let v(l) be the third derivative of l**6\/120 - l**4\/24 + 11*l**2 - 55. Determine c(w) - 5*v(w).\nAnswer: -4*w**3 - 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 13 = 4*l, -3*r + l - 37 = 0. Sort 11, 4, r, 1, 5 in ascending order.\nAnswer: r, 1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/49 and 85\/1050*34 + (-6)\/(-30)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, m: 5}. What is prob of picking 2 m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2622*j - 83900. Give a(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4 = -0*l + 5*n, 3*l + n + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 11*w**2 + 11*w + 4. What are the prime factors of t(-6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19136 - 6590. Is 102 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 + 1 + (-16449250)\/(-190) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -3  (b) 1  (c) -7  (d) 11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -368.5321907 - -368.53. Round f to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5114*w**3 - 1 - 4215*w**3 + 9389*w**3.\nAnswer: 60*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*h = 66*h + 5*p + 60, -3*p + 20 = 4*h - 8*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {v: 7, o: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*y**2 + 7*y**2 + 8*y**2 + 28*y - 10*y**3 + 33*y.\nAnswer: -10*y**3 + 61*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-435)\/48)\/(-5)*4 and (1\/12)\/((-1)\/(-19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.31 - 4.31. Let d = -2.17 + -0.77. Let j = d + -0.06. What is the closest to 0.1 in q, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**2 - p**3 + 7*p**2 - 10*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1410, 2893, 4446, 6069, 7762, 9525, 11358?\n\"Answer: 35*w**2 + 1378*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-30)\/(-140)*6\/9. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 24.00000032. What is s rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/9)*l*l**(-1)*(l**(2\/3)\/l)\/(l*l*l**7\/l) assuming l is positive.\nAnswer: l**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -4 - 7*q - 1\/2*q**4 + 0*q**2 + 0*q**3. What is the derivative of f(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 760404 times 0.1?\nAnswer: 76040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**5 + 2*t**5 - 4*t**5 + 8*t**5 - 11*t**5 + 7*t**5 - 4*t**5 + 0*t**5 + 3*t**5 - 3*t**5 + 2*t**5 + 2*t**5 + (-t**4 + 0*t**4 - t**4)*(-2*t + 4*t - t).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2371 times 166.35?\nAnswer: 394415.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -1288282348468.4.\nAnswer: -1288282348468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from {i: 7, x: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**3 + n**3 + 0*n**3 + (2 - 2 - n)*(4*n**2 - 8 + 8).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 65348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + 50. Find the second derivative of 27*g**2 - c*g + 57*g**2 + 38*g wrt g.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36119, 36113, 36105, 36095, 36083, 36069, 36053?\nAnswer: 36035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 0)*(72 - 72 - 20*p) + 2*p - 7*p + 16*p + 2 as y + d*p and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.36, -976, 0.3, -4.4 in decreasing order.\nAnswer: 0.36, 0.3, -4.4, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19124508 and 520?\nAnswer: 191245080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 32*q - 8. Let y(u) = 2. Give 12*y(i) + 3*z(i).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 4*i - 16, -5*r - 23 = 2*i - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -222819, -222820, -222821, -222822?\n\"Answer: -n - 222818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 3*f - 27, 4 = -2*f + 2*w + 12. Suppose 3*o - 36 = 5*k, 0*o + 16 = -3*k - o. Let d = f + k. Solve -c - 5 = -d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1268396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1006288 divided by -2.\nAnswer: 503144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46909111 is divided by 655.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -42*i + 1224. Calculate p(27).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2862 + 2875. Solve -16 = u*r + 49 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1078948 + 0.1076. What is g rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1064, -1318, -1946, -3134, -5068?\nAnswer: -7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r - 18. Let y be i(11). Let c be 0\/(2\/4*y). Suppose 4*q + p = -c*q, -2*q = 4*p. Solve -31 = -5*d - 3*o, 0 = 4*d - q*o - 5*o - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15\/(-4)*(-22)\/110. Let c = -746 - -746. What is the biggest value in x, -15, -5, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/8 + h**3\/2 - 9*h**2 + 162*h. Calculate c(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 8*i**2 + i + 2. Suppose -2*a - a = k - 9, a - 14 = -4*k. Let w be u(a). Is 380\/3 - (-12)\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*z + 601 = 139 - 518 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*a + 75 + 17 = 0. Solve -2*r - 3*w = -8, a*w = r + 2 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.43 + -1.57. Let l = 16.1 + -15.9. Let v = -2.9 - -3. What is the nearest to v in -3, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*m**2 - 6*m + 6*m + 8*m**2 + 8*m - 9*m - 5*m.\nAnswer: -25*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3668*t**2 - 10*t**4 + 1940598 + 8*t**4 + 4*t**4 - 299*t**3 - t**4 + 33665*t**2 - 1029105*t = 0.\nAnswer: 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 86695111*r**4 - 704141320*r**2 wrt r.\nAnswer: 2080682664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -8*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 2*z + 2*o, 8 = -4*o - 0*o. Let d = -612 - -604. Let g(q) = -q**3 - 9*q**2 - 5*q + 49. What is the remainder when z is divided by g(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-216 - 378 - 1068)*(-x**3 + 5*x**3 + 0*x**3) to the form z*x**3 + f*x**2 + s*x + u and give z.\nAnswer: -6648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9000 - 11163 = -143*m. What is the remainder when m is divided by 133?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 11 = -26*n + 29*n, -10 = 2*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4157939 is divided by 2987?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2232 - 0?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j**2 + j - 3. Suppose 0*l - 16 = -2*l. Calculate the remainder when f(-2) is divided by 2\/l + (-47)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303795 is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(1 - (-6)\/(-2)). Suppose -4*u + b*u = -2564. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*v + 5*v - 16*v)*(v**4 + v**4 - 4*v**4)*(-1 + 15 + 8).\nAnswer: 88*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 6432519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1655455005 to the nearest integer?\nAnswer: 40687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 11 - 3 - 1 - 9 + 12*u. Let m be s(2). Let x = 34 - m. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(833) + -3*3*sqrt(833) + -6*(sqrt(17) + -5*sqrt(17) + 4).\nAnswer: -32*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 88727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -84, -129, -192, -279, -396, -549, -744, -987?\n\"Answer: -s**3 - 3*s**2 - 29*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.027  (b) 3.19  (c) 0.03  (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 38*t**2 + 1\/12*t**4 + 0 - t + 1\/6*t**3 - 1\/60*t**5. Calculate n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-1403)\/(-183)*(-9 - (-7 + 4))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2 + 8147472*n - 48884724.\nAnswer: -3*(n - 2715818)*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6490035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -923.5 * 5\nAnswer: -4617.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -213740145*y**3 - 35148532?\nAnswer: -641220435*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1176675?\nAnswer: 3, 5, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 73290.73 decades in months?\nAnswer: 8794887.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - z. Let c(s) = 7*s**3 + 9*s**2 - 7*s + 2*s - 9*s**2. Calculate c(t) - 5*i(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(o**2 - o**2 + 2*o**2) - 2*o**2 + 0*o**2 - o**2 - 111*o**2 + 20*o**2 + 10*o**2.\nAnswer: -86*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9854 is divided by 179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11039 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -21, -1, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1038808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/10*(-195)\/(-234)*-4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -5*l - 58, -5*l - 5 = 2*i. Which is the closest to i?  (a) -1  (b) 7  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -345*b + 264 + 1461 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3 - -11) + -4)\/2. Suppose m - 4 = 0, 3*m - 144 = -6*j + i*j. What is the greatest common divisor of j and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3594852 times -0.3\nAnswer: 1078455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23724, 47312, 70770, 94098, 117296, 140364?\nAnswer: 163302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10212222020111 + -10020?\nAnswer: 10212222010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 61865708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.55 + 2.4. Let g = -7 + v. What is the third smallest value in -2, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 0, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a + 4*a - 36. Let y(d) = 9*d**2 + 1. What is the lowest common multiple of a and y(1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*w**5 - 6*w**2 - 7*w**2 - 2*w**2 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 51963140052161 less than -6?\nAnswer: -51963140052167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 24469079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 9*p**7\/280 - 9*p**6\/160 - 3*p**5\/16 - 17*p**4\/96 - p**3\/12 - p**2. Let t(a) = 0. Calculate a.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*240215.04.\nAnswer: -960860.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 9*h**2 - 31*h - 62. What is g(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 + 2*a**2 - 8*a**3 - 55 - a**3 + 11*a**3 - 3*a - 4*a**3 in the form y*a + b*a**2 + m + z*a**3 and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 2*k + 105 = 0, 3*i + 2*k = 5*k + 84. Suppose -4*u = 2*a - i - 3, -u + 5 = 0. Let v(z) = z**3 - z**2 - 5*z - 4. Calculate v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4128.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.07 + -0.062.\nAnswer: 2.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -369467?\nAnswer: 369462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by -162?\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(720) + 4.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/2895 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -32574, -2.2, -1\/6 in decreasing order.\nAnswer: -1\/6, -0.5, -2.2, -32574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -546, -1059, -1582, -2121, -2682?\n\"Answer: -s**3 + s**2 - 509*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3239398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 7. Suppose -5*d + 3*h + 40 = 0, 3*h + 30 = q*d + d. Solve 5*s = d*b + 30, -2*b = b + s + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -103*x + 11. Let d(g) = -5*g**3 + 4*g**2 - 4*g + 4. Let o be d(2). Let y = 23 + o. Is b(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1167)\/10892)\/(6\/(-80))*(-14)\/12.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 9:35 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 4. Let a = 6 + o. Let q = a - 0.2. Round q to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*q + 3)*(-11*q**2 - 33*q + 33*q) + (-61*q + 81*q - 77*q)*(-3*q + 3*q + q)*(0*q - 2*q + 3*q).\nAnswer: -79*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -232 + 237. Let w(p) = p**3 - 5*p**2 - 3*p + 2. What is w(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96536?\nAnswer: 2, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 - (2 - (4 - -41))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from gkgggooaaaggkggccaa?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 8, s: 2, o: 5, y: 1, k: 1}. What is prob of picking 1 y and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 96.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -504 + 86. Let q = -406 - c. What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1\/z)**(2\/3)\/(z**(3\/5)*z*z**(-3\/10)\/z) assuming z is positive.\nAnswer: z**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 255 = -195. Let g = -3448 + 3528. Let x = q - g. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9982, 19966, 29950, 39934, 49918, 59902?\n\"Answer: 9984*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + u**2 - u. Let y be d(0). Suppose l + y*x - x + 1 = 0, -3*x = -12. Let q be (-12)\/18*l\/(-1). Solve -3*n = p - 10, -3*p + q = -0*p + 2*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 15*k - 1. Let n(y) = 103*y - 53. Let g(p) = 7*d(p) - n(p). Give g(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.156 take away 62?\nAnswer: -61.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 2*k = 76, -24*y + 2*k - 125 = -25*y - 39 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*1130.6\nAnswer: -339.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 4*x = -2, 0 = -26*z + 22*z + 21*x + 34 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001169 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66986*g**2 - 252959*g wrt g?\nAnswer: -133972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -50816, -203279, -457394, -813167, -1270604, -1829711, -2490494?\n\"Answer: -k**3 - 50820*k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -4*r + 6*r - 4*s, 5*s = -3*r + 12. Solve 2*o - r = 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6012*m + 1901*m + 2997*m.\nAnswer: -1114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -206, -824, -1864, -3332, -5234?\nAnswer: -7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/165*187\/(-51)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -259, -256, -257, -268, -295, -344, -421, -532?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20286 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from czucuuub. Give prob of picking 1 z and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12744 + 12854. Solve -5*t - 12 = -o*v + 114*v, 15 = -5*v + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*l + 96*l + 28*l.\nAnswer: 105*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5, -1752, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 3\/10, -15, 0.2, 0.23 in descending order.\nAnswer: 35, 3\/10, 0.23, 0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10458 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 1\/13  (b) 509  (c) -0.2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/10 in 2, -1\/3, 48, 1\/10, -0.09?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 107357.125 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 66952, 132643, 197072, 260239, 322144, 382787, 442168?\n\"Answer: -631*d**2 + 67584*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6)\/((-12)\/(-180))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18375321 - 0.03701?\nAnswer: 18375320.96299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 7*x**2 - 10*x - 8. Let a be r(-8). Let s be 1*(-2)\/6*-3. Let f be 6 - a - s*3. Put -3, f, 3 in decreasing order.\nAnswer: 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-1)*11\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4898*o**3\/5 + 20892*o**2\/5 + 24792*o\/5 + 1040 = 0. Calculate o.\nAnswer: -2, -650\/2449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o - o**2 + 0 + 30 + 26. What is the remainder when 58 is divided by h(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -51  (b) -9  (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 286358 and 335509?\nAnswer: 44958206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*u - 7*d - 35 + 1, 4*u - d + 93 - 82 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2181936718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 886608.3 millilitres in litres?\nAnswer: 886.6083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**2\/7 - 80372136*m\/7 = 0.\nAnswer: -20093034, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 + 82*p**2 - 48*p + 10. Let t(j) = j**3 - 47*j**2 + 24*j - 5. Let b(f) = 3*n(f) + 5*t(f). Calculate b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 32*q**2 - 35*q - 427. Is 7 a factor of x(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*n + 114, -i - 22*n = -27*n - 87. Is i != 440\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 11:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 204015201 (base 6) to base 3.\nAnswer: 20200021100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 160\/(-12) - (11808328\/(-3198))\/259\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-nine fifths of a microgram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-33)\/4*(-860)\/15 + 3?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i + 35 = 5*r, i - 13 = 3*r. Let s be ((-4)\/i)\/((-1)\/5). Suppose s*z = -z + 36. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 + 151. Suppose -3*i + 60 - 48 = 0. Let r be (494\/190)\/(1 + i\/(-5)). Calculate the greatest common divisor of r and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*q - 143, 2*x - 53 = q - 2*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - 0 - 3)*5. Let f = 6 - h. List the prime factors of (-274)\/(-5) - f\/(-5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**2*g*r**3 + 6*d**2*g*r**2 + d**2*g*r + 4*d**2 - 12*d*g*r**3 - 2*d*r**2 + 5*g*r**2 - 1173*r**4 wrt r.\nAnswer: -6*d**2*g - 72*d*g - 28152*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 5*r - 5, 3*t = 2*t + 5*r + 13. Which is the second biggest value?  (a) t  (b) 5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40 - 35. Suppose -35 = -g*i + 55. Let d = -16 + i. Solve 0 = -5*p - 4*k + d*k + 23, 0 = -4*p - k + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -10\/3*m**3 - 11\/7*m**7 + 0*m**5 - 47 + 0*m**2 + 0*m + 0*m**4 + 0*m**6. Find the third derivative of i(j) wrt j.\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00422215 rounded to five dps?\nAnswer: -0.00422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.94 - -0.06. Let f = 0.452 + -0.7. Let u = f + 2.048. Which is the smallest value?  (a) x  (b) -3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4085 is divided by 3009.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f - 1. Let m be o(-1). Let s = m - 0. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 95\/15 + (-1)\/3. Differentiate 4 + p*g - 3*g - 4*g with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 303 = -84. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 33442713, 0.1, -3\/4, 1?\nAnswer: 33442713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/7*-1*(-3)\/((-132)\/4).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -3\/1051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1\/5, 2\/13, 0.4, -3, 8\/3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4770 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -8, -12, -18, -26?\n\"Answer: -j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -3\/7  (b) 3409.7  (c) -5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p**2 - p**2 + 7*p**2. Let k(s) = -74*s**2 - 2*s - 2. Let a(t) = 371*t**2 + 11*t + 12. Let j(z) = -2*a(z) - 11*k(z). Determine m(j(w)).\nAnswer: 10368*w**4 - 576*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 105293.7 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -61 and -1672.\nAnswer: 101992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/11 + 38*v\/11 + 180\/11.\nAnswer: 2*(v + 9)*(v + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) 19  (c) -1\/32  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - -0.1. Let p = 1820.8 - 1821. Let a = -0.11 + 5.11. What is the closest to p in -0.3, h, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -296 + 359. Let r(x) be the third derivative of x**6\/120 + 7*x**5\/60 + x**4\/8 - x**3\/3 - 2*x**2. What is the remainder when m is divided by r(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.51 + 1.5065. What is y rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43073591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 332 = 348 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10176 and 16338840?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -3*y**3\/2 + 9*y**2\/2 + 8*y. Differentiate b(r) with respect to r.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 368\/(-3496) - 3614\/(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 652 + 6895. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 292\nAnswer: 27\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1278742298.52801870078 + 2234771.82801789078. Let s = o - -1276507536. Let a = s + -9.3. What is a rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-3))\/(((-4)\/(-3))\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -153554 - 3?\nAnswer: -153557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 + 2*j**2 - j**3 + (j - 3*j + 0*j)*(-j**2 - 2*j**2 + 5*j**2) + 4 + j**3 - 4 - 70*j - 10 + 9 + 75*j + 17*j**2 - 6*j**3.\nAnswer: -10*j**3 + 17*j**2 + 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-4 + 1*sqrt(192) - -1*(sqrt(192) - (sqrt(192) - sqrt(192)*-2)))*4)**2 + 1)*-5.\nAnswer: -599045 - 184320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 190 and 241810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 8*k**2 + 4*k - 4. Let l be p(3). Let i = l + -39. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 51*a**2 + 21*a - 21. Let i(r) = -17*r - 31 + 33 - 5*r**2 + 8*r + 7*r. Calculate -2*f(d) - 21*i(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68847686.\nAnswer: 2, 3467, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 328*q - 6. Let f(h) = 2952*h - 56. Determine -3*f(g) + 28*v(g).\nAnswer: 328*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3512 (base 8) to base 5\nAnswer: -24431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 971\/14 + -832\/7. Let h be (1 + 2430\/25)\/(-3). Let b = h + 79\/3. Calculate the common denominator of f and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8613 + -8608. Solve -q = -u + 3, 4*q - 8 = i*q + 4*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -480*v - 272. Let n(u) = 7*u**2 - 3*u - 8. Let c be n(-3). Let b(j) = 37*j + 21. Let r(y) = c*b(y) + 5*p(y). What is the derivative of r(f) wrt f?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 8:46 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -66  (b) 0.3  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 5*p = -0*p + 10, 2*w = 4*p - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 380 = 2*j, -30*j + 5*x = -31*j + 197. Let f be (-1)\/((-1 + 3)\/(-34)). Calculate the greatest common factor of j and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 44*a**2 - 79*a - 515. Give i(42).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*d**3 - 3963*d**2*w**3 - d**2*w + 47*d*w**3 + 2*d*w + 2016*w**2 wrt d?\nAnswer: 138*d - 7926*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121850723.\nAnswer: 83, 661, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-501 - 227 - 192 + (2 - 1 - 3)*(-2 + 5 - 1))*(2*f**2 - 4*f**3 - 2*f**2).\nAnswer: 3696*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 35?  (a) -2  (b) -2\/11  (c) 2\/17  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 110809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -341 + 1966. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 334 + -176. Let n = h - 158. Let w = -4 - 3. Which is the nearest to n?  (a) w  (b) -2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4736262 - 1?\nAnswer: -4736263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13d (base 16) to base 4\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-10) + (-3)\/5 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 66 - 56. Calculate the remainder when 30 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 10886\nAnswer: -10890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 1. Let v(l) = 3*l**2 - 5*l - 6. Let a(q) = 5*u(q) + v(q). Suppose -43*t = -71*t + 28. What is a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 540831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1 = 19. Let h(x) = 2*x**3 - 43*x**2 - 23*x + 35. Calculate the remainder when h(22) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(60)*1 - sqrt(60)))\/(sqrt(10) - (-1*sqrt(70))\/sqrt(7)))\/(2*sqrt(288) - (-1*sqrt(8) - sqrt(2) - sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2798 (base 10) to base 15\nAnswer: c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n. Let h(l) = -8*l**2 + 9*l**2 - 4*l**2. Give j(h(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r**2 + r + 1. Let t be u(-1). Suppose m + 32 = t*m. What is the remainder when 61 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7301286 + 31.\nAnswer: -7301255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 14. Let t be ((-6)\/4)\/(r\/(-13)). Let k = 55\/24 - t. Find the common denominator of k and 10\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.685672ng?\nAnswer: 0.000685672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 - 2)*(-w + w - 2*w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from trtqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*t - 40 = 0, n - 5*n + 54 = -3*t. Suppose -n*q + 5241 = 1926. What are the prime factors of q?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g - 2. Let b(q) = 27. Let f(l) = -5. Let z(n) = -2*b(n) - 11*f(n). Give 3*t(c) + 6*z(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 0 - 228\/7*z**2 + 10\/7*z**3 - 288\/7*z = 0?\nAnswer: -6\/5, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -16*b**3*z - 79*b**3 + b**2*z + 74912*b*z - 17*z - 464066 wrt z?\nAnswer: -16*b**3 + b**2 + 74912*b - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*g**3 - 8*g**3 + 3*g**4 + g**2 + 2*g**3 - 54*g**4 + 2*g as i*g**2 + r*g**3 + m*g**4 + o + c*g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.3 + -3. Let r(z) = -40*z - 79. Let h be r(-2). Which is the third biggest value?  (a) o  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36.07 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(9072) - sqrt(9072))\/(-1*sqrt(9)*-1 + sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49437 is divided by 503.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - sqrt(80)\/sqrt(32) - (-2*sqrt(1210) + sqrt(1210) - sqrt(10)))\/((sqrt(490) - 2*sqrt(490))\/sqrt(2)).\nAnswer: -25*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-7) - (-172)\/14. Let a(h) be the third derivative of -h**4\/24 - h**3\/6 + 14194*h**2. Let i(t) = t**2 - 3*t - 3. Give p*a(g) - 4*i(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1182699*p**2*z + p**2 - 641570 with respect to z.\nAnswer: 1182699*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14044.\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0014103559 rounded to 6 dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0*(2 + -1))\/1. Let j = 0 + s. Suppose 5*m + p - 135 = j, -27 = m - 2*m - 5*p. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyxyyyyyyxyyy. What is prob of sequence yy?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 778483 a multiple of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.476158 and 0.1.\nAnswer: -0.0476158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 1\/(-8) + 667667\/5336?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -1. Let u(d) = d**3 + 6*d**2 + 6*d - 3. Let w be u(x). Calculate the common denominator of (-300)\/540*(0 - 53\/w) and 18\/29.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -8*n + 1. Let l be g(3). Suppose 113 = -9*z - 166. Let f = l - z. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-4) - 14\/(-4). Let h be 1 - 7 - (-184)\/30. Put h, g, 2\/11 in ascending order.\nAnswer: h, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15863745 rounded to four dps?\nAnswer: 0.1586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 958079792 a multiple of 3088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 + 0 = -24*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06483026 to 3 decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1168984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eb when two letters picked without replacement from mmeeeeemtrmtbmermt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*z**2 - 125*z**4 - 16*z**3 + 445*z + 150*z**4 + 3*z**6 + 2*z**2 - 24*z**4 wrt z?\nAnswer: 360*z**3 + 24*z - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/3 or -0.087?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2 + 3093*g - 49232.\nAnswer: -(g - 3077)*(g - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -879*u + 287*u**2 + 2 + 879*u - 512*u**2 - 1031*u**2 to k*u**2 + w + g*u and give k.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 14*v + 119 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from boobuobboby. Give prob of picking 1 b and 1 o.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in 3, 0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -u + 5*u + 15, -10 = 2*g + 4*u. Put g, 3, -3 in decreasing order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -6. Suppose -63 = d*w - 91. What is the lowest common multiple of 16 and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -21\/2. Suppose 6*c = 10*c - 12. Is s less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -378 and -3839?\nAnswer: 1451142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10489 + 2653 = 653*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2481 = -2*l, 2*c + 3*l + 1494 = 5*c. Let j = 824 - c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52*j**4 + 2*j**2 - 111*j**4 - j**3 + 58*j**4 + 8*j to w*j**3 + q*j**2 + i*j**4 + f + v*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22*(-71)\/3124*(-4)\/54.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d**4 - 146*d**3 + 199*d**2.\nAnswer: 72*d - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2828263 is divided by 235688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -691*f - 2299. Is k(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -12*n + 185. Determine w(0).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 768*h**2 + 50586*h + 1054. Determine m(-61).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*n**3 + 40085*n**2 - 11450*n.\nAnswer: -5*n*(n - 1145)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 13 = 3*d, -2*h - 4*d - 4 - 14 = 0. Let y be (25\/(-9))\/h - 3. Sort -16, y, 3 in descending order.\nAnswer: 3, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1540275 and 196035?\nAnswer: 10781925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1519.90652 to zero dps.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 321.7 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1163, 1250, 1337, 1424, 1511?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4896 - 4896 + 11*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q + 576*q**3 - 408 + 927 - 519 to the form k + f*q + g*q**2 + b*q**3 and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 2)*(0 + 0 - 2*z) - 4*z - z + 4*z in the form a + f*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((28\/224)\/(2\/8))\/(9\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 14. Suppose 18 = 4*b + o, n*b - 3*b - 3*o = -10. What is the first derivative of 34*y**4 + 2 + 11 - 23*y**b wrt y?\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -16. Let q be z*(-7)\/(7\/(-2)). Let d = -10 - q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.139 * -1888.\nAnswer: -262.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.9971 rounded to 0 decimal places?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 109115 = -0*f + 3*l, 0 = -4*f + 2*l - 436390. What is f rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - 2*w + 1, -21*k - 91764*w + 59 = -91760*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 10*d**2 - 202*d + 224. Determine o(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -f**5\/30 + f**4\/12 + f**3\/6 + 134*f**2. Suppose 4*l + 10 = r, -2*r + l = 2*r + 5. Determine z(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/(-36)*8\/34)\/(47 - 59 - -14).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 916673 is divided by 473.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 446, -3, -1, 2 in descending order.\nAnswer: 446, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**3\/5 + 156*l**2 + 8086*l\/5 - 95508\/5 = 0?\nAnswer: -379, -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 31854.2332 to zero dps.\nAnswer: 31854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 5004, 42, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 165*h**2 + 162*h - 202. Give s(-164).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1819 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 486378962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.147+-6\nAnswer: -5.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 429.36 from -176948.\nAnswer: -177377.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (25 - (2 + 0))\/((-2)\/14). Suppose 5*w + 2*n + 1 = 26, w + 5*n + 18 = 0. Let v be 19\/w + (-46)\/a. Solve -5*l + 40 = -5*y, -v*l + 2*y = 10 - 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -3*t. Let r(d) = d**2 + 5*d - 3. Let o be 2\/5 - (-54)\/(-10). Let n be r(o). What is the least common multiple of i(n) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*v**3 + 481*v**3 - 247*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + t**2 + 4. Let f be g(0). Suppose f*p - 144 = -40. Suppose -p = -0*w - 2*w. Calculate the greatest common factor of w and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/5?  (a) 4\/31  (b) 0  (c) -2\/11  (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/8, -35384284, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 11*u**3 - 5*u**2 - 3. Let f(v) = -6*v**3 + 3*v**2 + 2. Give 3*c(r) + 5*f(r).\nAnswer: 3*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -5820\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 2:17 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1008 and 894720?\nAnswer: 18789120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -49*z - 1. Let r(a) = -a**3 + 19*a**2 + 20*a - 4. Let o be r(20). Is m(o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 740417823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.189505036 take away -95.781?\nAnswer: 95.591494964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 690810 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7423734 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14747 * 1059.\nAnswer: -15617073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*a + 79 + 49. What is the greatest common factor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11 - -349?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443698 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 less than -331586089609?\nAnswer: -331586089608.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 - 58. Suppose -f*w + 18 = -10. Suppose -w*a = -4*g + 524, -2*g + 3*g - 5*a - 115 = 0. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 8 = -4*d. Suppose -d*t + 7*t + 10 = 0. What is the units digit of 6\/3 - -14 - t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3175237740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3724\/21 + 1\/(-3). Suppose -1232 + u = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*c + 3*v + 33, 0 = 2*c - 5543*v + 5546*v + 33 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8844823 and 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 800585791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -30. Suppose -21*m + 4825 = 2032. Let q = m + f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 13*m + 66. Let k be g(-4). Suppose -k*x + 144 + 584 = 0. What is the least common multiple of 8 and x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4607 + -4603. Solve g + 2*b + 1 = 0, -4*g + m*b = -g - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.06, -960\/379, 2\/35, -1, 3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5*w + 39 = 0, 4*m - 3*w - 30 = -w. Let i(s) = -m + 6 + 3*s**2. Let y(l) = -l**2. Determine y(i(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 63440?\nAnswer: 63442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130*(-1)\/13 + 2*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9296, 3, -3484 in ascending order.\nAnswer: -9296, -3484, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.15245674 to three dps.\nAnswer: -3.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -60.99502143 and 68.\nAnswer: 7.00497857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efe when three letters picked without replacement from {r: 3, e: 5, f: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8246 is divided by 2986?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -356170.\nAnswer: 3\/178085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.182762 milligrams in nanograms?\nAnswer: 2182762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-3)\/(b\/b**16) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5137, 3, -1541?\nAnswer: -1541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 471616 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51\/4649 - 176651\/2119944. Let w = -20\/19 - s. Find the common denominator of 119\/12 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*d - 71 = 0, 4*d - 85 = -5*l - d. Let h(z) = z**2 - 3. List the prime factors of h(l).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/10 - (-388)\/10. Suppose w + 0*w = 2. Let t(i) = -o*i**2 - 40*i**2 + 63*i**w. Let y(v) = -v**2. Calculate y(t(u)).\nAnswer: -256*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -656, -391, -122, 151?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 6474574.\nAnswer: 45322018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37)\/(1665\/(-108))*1\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) -54\/13  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-48 + 0)*15\/10. Let s = f + 107. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 189555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 30*p = 33*p, 2*p + 15 = 3*z. Sort -5, 1, z, -2.\nAnswer: -5, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.233867 litres in millilitres?\nAnswer: 8233.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1196 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 528 = 4*d. Suppose 4*t = f + f + d, -2*t = -2*f - 40. Suppose 4 = -t*a + 25*a. Solve 0 = -4*v + b + 3 + 1, -16 = a*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -10.69.\nAnswer: -32.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-4*sqrt(121)*-1)\/((sqrt(121) - ((sqrt(121) + sqrt(121)*1 + sqrt(121) + sqrt(121))*-3 - sqrt(121)) - sqrt(121))\/sqrt(11)).\nAnswer: 12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 3*b**2\/2 - 6*b - 5. Let d be h(8). Suppose -r - 2*l = -10, -d = -3*r - 3*l - 0*l. What is the smallest value in -1, 3\/2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (-76 - -78 - (-8 + 2 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-8))\/((-6)\/(-8)). What is the common denominator of (-23)\/b + (-4)\/2 and ((-11)\/6)\/(1 - (-16)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122836381 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 2 - g**3 - 7*g**2 - 1 in the form c*g + i*g**3 + u + p*g**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 181707.6 weeks?\nAnswer: 1271953.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 23*r + 54. Let f be z(25). Factor -2\/3*h**f + 0 + 0*h**3 + 2\/3*h**2 + 1\/3*h - 1\/3*h**5.\nAnswer: -h*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252263 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 2653.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 14) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4241038, -8482122, -12723206, -16964290, -21205374, -25446458?\nAnswer: -29687542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -53759106*s**2. Let u(z) = 2*z**2. Determine w(u(n)).\nAnswer: -215036424*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -5*m**9\/84 - m**6\/12 + 49*m**5\/60 + m**3 - 4686*m**2. What is the third derivative of g(j) wrt j?\nAnswer: -3600*j**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 74496 and 21822.\nAnswer: 270941952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*x - 29, -x = -0*x - 4*g - 2. What is the greatest common factor of x and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84449 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 786.9423 millennia to decades.\nAnswer: 78694.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-352)\/(-22)*(-2)\/1*(-8)\/(-80).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 + 363*x + 2672. What is z(372)?\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 13. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + 6*w - 3. Let z(f) = -f**2 - 9*f - 4. Let d be z(-8). Suppose 0*m + 28 = -d*m. Let v be -2 - -1 - 1*m. Calculate a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 9*w - 1432 = 0. Let t(r) = -r**2 - w*r - 7 + 358*r. Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - o**3 + 1 + (5*o**3 - 4*o**3 + o**3)*(0 + 0 - 1) + 7 + 6*o**3 - 7 - 7*o**3 - 4*o**2 + 4*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + t = -180. Let q = -39 + t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 + 5*h**2 - 49*h - 14. What is l(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85219657 + -85239239.9915. Let k = -19578 - q. Let g = -5 + k. Round g to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eje when three letters picked without replacement from jjjjjjejjje.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 30*v**2 + 134*v - 69649. Determine n(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 12 in descending order.\nAnswer: 12, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10486\/8988)\/(-7*2)*3\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 35, 0.0192, -2922?\nAnswer: -2922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5696.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*s**2 + 185*s + 70.\nAnswer: 5*(s + 7)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*d**2 - 5*d + 12*d**2 + 7*d**2)*(3*d - 1 + 1).\nAnswer: 6*d**3 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, 5, -92, -5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 209*m - 184*m - 75. Solve -g - m + 0 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-5) + 1239\/295.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32869 is divided by 117?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 470861 is divided by 18834.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/2  (b) -283  (c) -18  (d) -7225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253*v = -124*v - 128*v, -18 = 4*a + 5*a + 3*v + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 21547, 172409, 581903, 1379347, 2694059, 4655357?\n\"Answer: 21553*z**3 - 2*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -40604 (base 7) to base 2\nAnswer: -10011010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488496.\nAnswer: 2, 3, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 65, 234, 517, 914, 1425, 2050, 2789?\nAnswer: 3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13\/4  (b) 5\/2  (c) -0.2  (d) 3\/4  (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12246 is divided by 4069.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5116, 4, -204 in decreasing order.\nAnswer: 5116, 4, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x**3 - 9 + 2*x - 3*x + 9. Let m(l) = -l**3 + l. Let w be (-2)\/5 - 880\/550. Give w*a(j) - 2*m(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*o - 26*o = -2656. Solve o*w - 30*w = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -2. Is 8 a factor of (72\/4)\/d*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -7. Let u = a - -5. Let i(m) = -2*m + 1. Let v(w) = -4*w + 2. Give u*v(s) - 5*i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaeeea. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -277846 + -2?\nAnswer: -277848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 251 = -2033. What is the second derivative of 0 + 305*l**2 - p*l**2 - 6*l + 0 wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/2)\/(105\/(-2550)*5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -5, -4, -281 in descending order.\nAnswer: 4, -2, -4, -5, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1275 - 1b6?\nAnswer: 109d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -182*m + 1283. What is s(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53aa8 (base 11) to base 10.\nAnswer: 78526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u - 2. Let q be r(-3). Let i = 15 + q. Is i >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, -3\/46, 0.4 in increasing order.\nAnswer: -3\/46, 0.4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 - -74. Let t = 147 + x. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 17  (b) -0.29861  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 6*g**2 - 12*g - 15. What are the prime factors of a(-6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 506 and 13482876?\nAnswer: 13482876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -16627, -30884, -45141, -59398, -73655, -87912?\n\"Answer: -14257*h - 2370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (48\/(-882))\/((-20)\/35). Let x(v) be the third derivative of -1\/210*v**5 - n*v**3 + 0 + 0*v + 1\/28*v**4 + 12*v**2. Determine g so that x(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2761.244l?\nAnswer: 2761244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -1.7, -5\/3, 5, 0.055, 2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddudddudduddudddd?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 684 and 399?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*m**3 + 234*m - 234*m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -267, 1, 315.\nAnswer: -267, -7, 1, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-1)\/(-3) + (-8771)\/26502). Let k = 41 + l. Let b = 1718 + k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43070, -42355, -41184, -39563, -37498, -34995, -32060?\nAnswer: -28699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Determine a, given that a**2\/2 + 2233*a\/2 + 21033 = 0.\nAnswer: -2214, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q**2 + 9*q + 25. Calculate l(-11).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h + 8. Suppose 2*f + 10 = -l - 3, -1 = 2*l - f. Let c be (-45)\/25*(-10)\/l. Let n(p) = -p**3 - 5*p**2 + 7*p + 14. Let w be n(c). Determine o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 179548, 359108, 538690, 718306, 897968, 1077688, 1257478, 1437350?\nAnswer: 1617316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12200 = 355*l - 19*l + 152*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -6\/5  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + 0.0275899.\nAnswer: -0.4724101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1321*d + 82276 = 198*d + 24554 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -4, -c - 44*n = -45*n - 53. Solve -261 + 47 - 210*q**2 + 320*q + 45*q**3 + c = 0 for q.\nAnswer: 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from ajaawaijjaiaixaiaa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -19, -52, -107, -184?\n\"Answer: -11*r**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -4*w - 3 + 23, 4*w - 5*a - 24 = 0. Let r(z) = z + 1. Let h(m) = -2*m**2 + 3*m + 6. Determine w*h(y) - 3*r(y).\nAnswer: -2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h + 60 = 0. What is the remainder when h is divided by (-63 - -64) + (-14)\/(1*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 4 + 5 + 3)*(3*n - 2 + 2)*(-317 - 138 + 137) to the form a*n + k and give a.\nAnswer: -9540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11018 + 12774. Calculate the greatest common factor of t and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (42\/10 + -30 + 2002\/65).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u**3 + u**2 + 4*u - 2. Let w(l) = 6*l**3 + 2*l**2 + 7*l - 3. Let p(d) = -5*o(d) + 3*w(d). What is p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7344292 - 4?\nAnswer: -7344296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y - 4*y = -37*y + 216 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l**2. Let d(g) = 6*g**2 + g**2 - 3*g**2 + 0*g**2. What is d(y(j))?\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-32 - 12 + 98)*(-2*p**3 + 0*p**3 + 4*p**3) - p**3 - 2*p**3 + 5*p**3 as m*p**3 + t*p**2 + o + w*p and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12*-1*4\/10. Let m = -0.0172 - 0.3488. Let a = 0.566 + m. What is the closest to 0 in a, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from chcchc. What is prob of picking 3 c and 1 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 6:16 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-1*(-3 + sqrt(567)) + sqrt(567))**2 + -5)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/5 - (-231)\/(-55). Let v = 10.18 - 0.18. Let n = -9 + v. Which is the biggest value?  (a) -0.1  (b) t  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 845230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 426 and 6177.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, h: 4, m: 1, j: 1, e: 1}. Give prob of picking 1 m, 1 r, and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.19 - -70.81. Let h = 73.4 - i. What is the third smallest value in -5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1976 and 176111?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 11:02 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 8*a**2 - 6*a + 5. Let w = 7 - 1. List the prime factors of v(w).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3\/7*i**4 + 141\/7*i**3 + 612\/7 - 615\/7*i**2 - 141\/7*i = 0.\nAnswer: -51, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 3228503?\nAnswer: 1\/3228503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 428*o**2 + 144*o**2 - 79*o**2 + o**2.\nAnswer: 494*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 + -75. Let p = -20 - t. Find the second derivative of 4*r**p - r**2 + 8*r - 3*r**2 + 7*r**5 wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2694\/45 + (-6)\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 12110749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 2*b + b. Suppose -336 = -5*y - 4*i, 21 = 6*i + 27. Calculate the remainder when y is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2035.04453 - 0.04453. Let z = f + -2026.67. Round z to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 261, 154, 47, -60?\n\"Answer: -107*x + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 21*h**3 - 11*h**2 + 13*h - 20. Let a(q) = -11*q**3 + 6*q**2 - 7*q + 10. What is -11*a(j) - 6*r(j)?\nAnswer: -5*j**3 - j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/((-14630)\/55)*(-10)\/(-100)*42\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -73 + 203. Let c = 517\/4 - l. Let f = 9 - 13. Sort 0.5, f, -2\/7, c in descending order.\nAnswer: 0.5, -2\/7, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121232 (base 4) in base 5?\nAnswer: 23041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2) - (14\/12 + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 222982619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of w**8\/10080 - w**5\/20 + 7*w**2. Let i(d) be the third derivative of p(d). Let b(t) = 4*t. What is b(i(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 333614*l + 40033675. Calculate s(-120).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/12 + 6811*p\/4 + 10217\/6.\nAnswer: -(p - 20434)*(p + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((35\/56)\/(410\/(-328)))\/(-5 + (-5)\/2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, c: 1, t: 1, w: 2, e: 2}. What is prob of sequence wcee?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 + -56. Solve m*u = 5*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 5*d + 2. Let y be h(-5). Suppose -15*w = 190 - 1180. Let p be (w\/154)\/((-5)\/(-7)). Are y and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57455 divided by -2.\nAnswer: -57455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i + 1. Let d(g) = -68*g + 3. Give -3*a(c) + d(c).\nAnswer: -59*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of 0 + 0*j**2 + 2\/15*j**5 + 1\/3*j**4 - 2*j + 1\/60*j**6 - 1\/3*j**3. Let z(y) be the second derivative of v(y). Factor z(d).\nAnswer: 2*(d + 2)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -2\/7, 9, 12\/13, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of m**4\/12 + m**3\/3 + 2*m**2. Does 12 divide w(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2426029 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7626*n**3 - 15269*n**3 + 7641*n**3 - 1840*n.\nAnswer: -2*n**3 - 1840*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 36 = -2*q - 2*q, 2*q = -3*s - 150. Let t = s - -48. Let h = -2\/179 + -349\/16826. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100011 + 10000111100?\nAnswer: 10100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - ((-76 - -77) + 1 + 4) - 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/((-99)\/(-15)))\/(1295\/(-518))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 128 + -123. Suppose t*k = 11*k - 12. Factor -6\/7 - 3\/7*u**k + 9\/7*u.\nAnswer: -3*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 3*y + 458 = 0, 3*v - 5*y + 7*y = 275. Suppose 9*p - v = 89. Suppose 4*z + 9 - 37 = 0. What is the remainder when p is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11614, -11465, -11230, -10921, -10550?\nAnswer: -10129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -2*f**5\/15 - 5*f**4\/24 + f**3\/2 + f**2 - 150*f. Calculate k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 866632 is divided by 518?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -41 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6256 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 526?\nAnswer: 15780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 30874079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(500) - (sqrt(500) + 3 - sqrt(500)))**2 + -5 + (sqrt(500))**2.\nAnswer: -60*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 0 - -4 - 0. Let d be 12\/18*12\/2. Suppose -d*h + 6 = -14. Calculate the greatest common divisor of h and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3219955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29586091*u**5 + 4*u**2 + u + 1070609 wrt u.\nAnswer: 1775165460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -33 equal to -265\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.30533 kilograms to grams.\nAnswer: 85305.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12188125 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b**2. Let t(q) = 6*q - 2. Let y(s) = -31*s + 19. Let m(f) = -15*f + 9. Let c(p) = 9*m(p) - 4*y(p). Let z(k) = 2*c(k) + 5*t(k). Determine w(z(g)).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllhllllhlllllllhlh. Give prob of sequence hl.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 20\/9, -192.9, -1, 0.8, -3\/2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 24, 38, 36, 6, -64, -186, -372?\n\"Answer: -2*q**3 + 4*q**2 + 16*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 404 + -30301?\nAnswer: -25453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, j: 4, a: 2, w: 1, h: 2}. Give prob of picking 1 a and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 374 = 30*t + 397 + 217 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 20*b + 181. Let q be d(-9). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/((-6720)\/2828) - 9\/24) + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6330499729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-2 - -1) - (122 + (209 - 339))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2. Let d(j) be the second derivative of 5*j**4\/12 - 4*j. Give s(d(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8216 (base 12) to base 5.\nAnswer: -423010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4794 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2 - 2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -96*r**2 + 17*r**5 + 96*r**2 + (2*r**5 - 4*r**5 + 5*r**5)*(-15 - 1 + 1).\nAnswer: -28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3 + 13302922*m**2 + 22120960065798*m - 22120973368722.\nAnswer: 2*(m - 1)*(m + 3325731)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 2\/117, -1 in descending order.\nAnswer: 2\/117, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9679054 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 20 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4827415\/3 - 1630073. Let d = -20564 - p. Let c = 367 - d. Find the common denominator of 44\/7 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 76783 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 75 and 420.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3.9 from 14.16.\nAnswer: 10.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - 5*n**2\/2 - 4*n + 75. Suppose -i - 20 = 4*i. Let k be t(i). Solve 3*z - 3 = -k*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l + 16. Let d be u(6). Let w = -2 + 5. Which is the nearest to 1\/5?  (a) w  (b) -0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**5\/60 - s**4\/3 + 2*s**3\/3 - 3*s**2. Let f(h) = -h + 9. Let z be f(0). List the prime factors of w(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3097050 divided by -1548525.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u. Let t(n) be the second derivative of -n**5\/15 - 2*n**3\/3 - n. Let r(b) be the second derivative of t(b). Give r(g(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35102768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/8, 2\/237, -3, 5?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 - -98.57. Let l = 1.03 - s. Let r = l + 0.04. What is the smallest value in r, -2\/11, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -14. Let x(a) = -42*a - 4. Let g be x(p). Is g\/12 - 8\/12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.42287243019 and 0.2.\nAnswer: -0.22287243019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 12*x - 1. Let g(r) = -20904*r + 1608. What is -g(p) - 1608*u(p)?\nAnswer: 1608*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) -5  (c) 2\/387\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 242 and 14278?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52 + 5 + 0)*(w**2 - 2*w**2 + 2*w**2).\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45108?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 374530?\nAnswer: 2, 5, 13, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2064 and 21199344.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**8*(f*f**(3\/7)*f)\/f*(f\/f**(-7))\/((f**8*f*f*f)\/f))\/(f**4*f**(-2)*f*f*f**6*f*f**6\/f) assuming f is positive.\nAnswer: f**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 243*f + 1 + 152*f + 47*f.\nAnswer: 442*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = t + 8, -8*l = -114*t + 118*t - 48 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1786 or -1948512\/1091?\nAnswer: -1786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*a - 13 - 67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 54 = -11. Suppose -4*w + 7*w + 6 = 0, -5*h - 3*w + 2184 = 0. Suppose 510 = -h*c + 444*c. Calculate the remainder when c is divided by x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110805 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4*a + 21. Let p = a - -12. Suppose -2*w - 5*m + 10 = -6, -5*m + 19 = 3*w. Solve -p*x - 9 = 4*q + 7, -5*x = w*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 8da?\nAnswer: 8e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uaauuaaukkuuuuuaauau. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*w - 29805 = 0, 23*w - 44765 = -3*y + 19*w. Calculate the highest common divisor of y and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - -0.01. Let n = 0.38 + y. Let r = -1484 + 1481. Which is the third biggest value?  (a) 0.03  (b) r  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 27183, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 32*z**2 - 9*z - 283. What is k(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 - 2*y + 2*y)*((-1 + 1 + 2*y)*(2 - 3 + 2) - 116 + 116 + 11*y - 3 + 3 - y + 2*y - 2*y + 2*y - 1 - 4*y + 1 + (0 + 0 - 2)*(-3*y + 4*y + 0*y)).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2. Let w(j) be the second derivative of -j**2\/2 + 4*j. Let k(n) = 5*n - 10. Let f(y) = k(y) - 10*w(y). Determine l(f(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 36552028 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -121.67 * -0.393\nAnswer: 47.81631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47747?\nAnswer: 7, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 121 - 398. Let z = l + 277.29. What is z rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-16)\/120 + -17*4\/(-60). Which is smaller: 8\/27 or n?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8074267 a multiple of 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 1:40 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -k + 30. Calculate the smallest common multiple of k and (-40)\/16*(-18)\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -1\/32*i**4 + 0*i**5 + 1\/480*i**6 + 2*i**2 + 0 + 5*i - 1\/12*i**3. Let o(f) be the first derivative of j(f). Factor o(b).\nAnswer: (b - 2)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w - 6. Let r(y) = y + 6. Let a(u) = 6*f(u) + 7*r(u). Determine a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.25  (c) 0.12  (d) 2\/7  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (5 - 1 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*o**3*x**6 - o**3*x - 4*o*x**6 + o*x**2 + 7*o wrt x?\nAnswer: -1080*o**3*x**3 - 480*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4a63618 (base 11) to base 2\nAnswer: 100001100001110101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 3:39 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c + -1a002cb?\nAnswer: -1a002e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17026.\nAnswer: 2, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-9))\/((3\/5)\/((-711)\/(-395)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 3*t = 4*q, t = -q. Let a be (1*-2)\/(4\/(-10)). Suppose 2*x - a*f - 52 = q, 26 - 5 = x - 5*f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 380*h**2 + 694*h**2 - 369*h**2.\nAnswer: 705*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 9) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**4 - 4*g**4 + 0*g**4 + (2 + g**4 - 2)*(-2 + 0 + 1) + 2 - 2 - 2*g**4.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -140 - 1896397?\nAnswer: -1896537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11775*p**3 + 35319*p**3 - 11774*p**3 - 11759*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42444 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 d, and 1 t when three letters picked without replacement from bxbpdpppdbpbupt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/(-6))\/((-4)\/726). Let h be (-1)\/(-3) + r\/(-6). Is (7\/2)\/((-10)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 4*b + 214 = 231, -5 = -3*m + 2*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2597 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -47335, -94620, -141901, -189178, -236451, -283720, -330985?\n\"Answer: 2*b**2 - 47291*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 126028791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of 0*d - 18*d**2 + 7\/30*d**3 - 1\/300*d**5 + 0 + 1\/20*d**4. Factor w(h).\nAnswer: -(h - 7)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 80210?\nAnswer: 882310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 8 + 2*n)*(-2 - 21 + 63).\nAnswer: 80*n - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 10:53 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73 + 52. Let f = 20.9515 + c. Let m = 0.0212 + f. Round m to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -393*z - 386*z - 114*z**3 + 1167*z + 97*z**3 - 388*z.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1678182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by -1969\nAnswer: 40\/1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 11) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 161198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 189020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 + -26. What is the lowest common multiple of 1 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1201644 is divided by 3749.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 0. Let a be 6 - 16\/20*8. Let p = 259\/65 + -44\/13. What is the closest to w in a, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4676560 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -715 + 691. Put -12, 5, l in decreasing order.\nAnswer: 5, -12, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10945 divided by 2189.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 142 = -3*p, 4 = 3*y + 19. Let v be ((-1)\/2)\/((-11)\/p). Solve v = -s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4 = 0, 2*g - 842 = -r + 4*r. Suppose -5*n + g = -5*i + 9*i, -4*n = -i - 326. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4126661 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - ((-27)\/(-6) + -2). What is the nearest to w in -2, -0.3, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -399 - 120a?\nAnswer: -15a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p**(-5)*p)\/p)\/p*p*(p\/(p*p\/(p\/p**(-1\/2))*p))\/p*p)**(-5\/13) assuming p is positive.\nAnswer: p**(45\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 3*g**2 - 4*g**2 - g**2 + 4*g**2 - 5*g**2 + (-2 + 4*g + 2)*(0*g - 3*g + 5*g))*(-g + g - g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 85*d**3\/6 + 66*d**2 + 268*d. What is the first derivative of z(t) wrt t?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 3*d + 3 = 0, 9*f - 5*f + 3 = -3*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1266 + -1261. Solve -6*a + 4*a = 4*t - 30, -4*a + 45 = o*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1095 + -1118 + 2 + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.3*181715.\nAnswer: 599659.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4262 divided by -1086.\nAnswer: -2131\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m + 2*m + 4*m - 5*m. Let d(o) = 3*o. Let a(f) = 6*d(f) + 5*z(f). Let g(k) be the second derivative of k**4\/3 - k. What is a(g(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 21*j = j. What is the nearest to j in 21, 4, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -5*w - 29, 2*w + 7 = 3*j + 22. Sort 0, 5, j in descending order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2658, -2033, -1408, -783, -158, 467?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3565416*v + 11*v**2 + 3565416*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 57, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/1386)\/(3\/67). Let r = -3\/154 + y. What is the smallest value in r, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -9  (b) -2.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(8832\/(-276) + (-375)\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -17*k - 744. Give m(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 2:37 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + k + 1. Let z(i) = -4501*i**2 + 4357*i - 1. Let o(w) = n(w) + z(w). What is the second derivative of o(c) wrt c?\nAnswer: -9004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 15134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 1c42c8c?\nAnswer: -1c42c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q**3 + 15*q**2 - 1203*q - 6020. Determine o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 202*r**4 - 12 + 203*r**4 - 438*r**4 wrt r?\nAnswer: -132*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*z - 4*x, 18*z + 123*z + 2*x - 248 = 739 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 779.2 + -779. What is the nearest to -0.1 in 0.1, 2\/9, -6, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**2\/11 + 6*r = 0.\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -222 + 222.3. Suppose 2*w + 13 + 2 = -5*j, 2*w - 5 = -j. Which is the third biggest value?  (a) -1  (b) -0.13  (c) w  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3\/26, 0.74, 0.4, 5?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/((-10 + 24 - 7)\/(-1))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -j + 8. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 66840 + -47179. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3784 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 203*q**3 + 2*q**2 + 5*q - 5. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -888817096*z**5 + 14805911*z**2?\nAnswer: -53329025760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 221563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4294*z - z**2 - 12891*z + 4299*z + 4298*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**7\/21 + 3*l**5\/10 - l**4\/3 - 6*l. Factor d(b).\nAnswer: -2*b**2*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1643982?\nAnswer: 2, 3, 273997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*2)**2*-2 + -1 - (2*sqrt(119)*1)\/(sqrt(448) - (sqrt(448)*-2 - sqrt(448) - sqrt(448))).\nAnswer: -3401 - sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*4\/8 - -3. Suppose 2*p + 2*x = -6, 3*x - 3 = -a*p - 2*x. Let n be 1\/(-4) - 2\/(-8). Put p, 4, n in descending order.\nAnswer: 4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81.53 times 485.5\nAnswer: -39582.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1145029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1990.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 123, 3, 2, -1, -0.524, -1\/3?\nAnswer: -0.524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 22359 and 22358 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 14067422*q - 4085151.\nAnswer: 14067422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -338.7 - -315. Let g = 14 - -10. Let x = g + r. Sort x, 4, -2 in increasing order.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162 and 18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 28*f - 198 = 39, 3*z - 6 = -f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*f = -90*f - 328. Calculate the greatest common factor of 2392 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-9))\/((-4)\/36). Differentiate -11 + 1 - 25*t**3 + 0*t**3 + w*t**3 wrt t.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 + 17 = -12*b + 5, -3*d - 3*b + 5*b = 3 - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2298572297.\nAnswer: 7, 463, 709217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11878856 by 92.\nAnswer: -129118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56271 - 17037. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*a + 2*d + d, 0 = -2*a - d - 10. Let h(l) be the second derivative of -l**4\/6 - l**3 - l**2 + l. Give h(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -4. Is 22\/n - 1\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.94 + 0.06. Let q = 439.2 + -439. Which is the closest to 0.1?  (a) q  (b) 0.8  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -39896, -79805, -119714, -159623, -199532, -239441?\n\"Answer: -39909*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggkggk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -4*f - 55, 28*f = 7*d - 4*f + 30*f - 121 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 (base 9) in base 13?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*m + 4*h, 2*h - 9 = -2*m - m. Let k be -1 + 3 + (m - 0). Suppose -r = -k*r + 26. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829 a factor of 27552056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 740309.\nAnswer: 79, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + y**2 + 1 + (-3*y - y + 2*y)*(0*y + 4*y - 2*y) + 0*y + y**2 + 0*y + 0*y**2 + y**2 + 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.302500192 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 + 61*l**2 - 23*l + 62. Let o be m(20). Which is the closest to 1\/2?  (a) 4  (b) -13  (c) -5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-23)\/(-7) - 20\/70. Factor 12*j**2 - 3*j**q - 17*j + 9*j - j**3.\nAnswer: -4*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2529 + 353 = -17*k. Suppose 3*y = -12 + 93. What is the remainder when k is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606894559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -32. Let r = 38 + w. Let i = r - 16. Is -15 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 1566887795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -116*i**2 - 7. Let t(n) = -113*n**2 - 6. Let b(h) = 5*f(h) - 6*t(h). Find the first derivative of b(s) wrt s.\nAnswer: 196*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 6, j: 1, o: 1, c: 1, z: 1, y: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -11*p**2. Let v(r) = 109*r + 89. Let s(l) = -25*l - 22. Let m(o) = 9*s(o) + 2*v(o). Determine m(x(c)).\nAnswer: 77*c**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 14*o + 38. Calculate b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(-3*(sqrt(77)*-2 + sqrt(77)) + sqrt(77)))\/(sqrt(1100)*2*4))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72*(-55957)\/(-957) - ((-56)\/(-29) - 2)?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 8:25 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.94 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, i: 1}. Give prob of sequence ww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) 7  (b) 10438  (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -327 + 321.86. Let j = t + 1.84. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -4. Suppose 0 = -11*k + 6*k - 20. Let q(n) be the third derivative of n**4\/24 + 5*n**3\/6 + 2*n**2 + 2151. What is k*q(g) - 5*v(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, h: 4, y: 7}. What is prob of picking 1 h and 2 y?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96550.\nAnswer: 2, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1224?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6.5, -1, 0?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 51263986755.864?\nAnswer: -51263986755.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*t = 54*t + 135. Let d(y) = 9*y - 13. Let u(r) = 13*r - 19. What is t*u(n) - 7*d(n)?\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 6385479078*y**2 - 4 + 6385479052*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -990, -997, -1004, -1011, -1018?\n\"Answer: -7*k - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of d**7\/840 + d**6\/60 + d**5\/20 + 7*d**4\/24 - 304*d**3\/3 + 247. Let z(y) be the third derivative of h(y). Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20758, 41516, 62274, 83032, 103790?\nAnswer: 124548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -83723.45059 - -83723. Round j to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**21\/t*t)*t**(-5\/2))\/(t*((t\/((t*(t**10*t)\/t*t)\/t))\/t)\/t)**(-14\/11) assuming t is positive.\nAnswer: t**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 13. Let u be a(6). Suppose 5*p + 86 = u*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 23*m**2 + 4. Let d be f(-23). Is 16 a factor of ((-24)\/(-36))\/(d\/174)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b - 7854314. Let t(v) = v**2. What is m(t(x))?\nAnswer: -2*x**2 - 7854314","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 3*p + 0*p)*(-p - 2*p - 4*p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -21428 divided by -1?\nAnswer: 21428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 818 + -820. Calculate the common denominator of -133\/36 and 21\/(-14) + 190\/32 + o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*i - t - 1283, -4*i + t - 2581 = 0. Is -1*2*i\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n**(-1\/3)*n))\/n)\/(n\/(n*n\/n**5)))\/(((n**(2\/15)*n)\/n)\/n**(-6)) assuming n is positive.\nAnswer: n**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130 = 42*c + 569 + 65 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j + 5*j**2 + j + 0 + j**3 + 2. Let h be w(-3). Find the second derivative of -35*m**4 + 0*m + 15*m**h - 9*m + 35*m**4 wrt m.\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1209897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 322127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/6)\/((-2)\/18 + 0). Suppose 0 = -3*r + c*r - 15. Suppose -r*x + 0 = -10. Solve -v - x = -p, v + p + 3*p = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4333522 is divided by 26750.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 296  (b) 2  (c) 0  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l - 6 + 30*l**3 + 10 + 16 + 0*l**2 + 2*l - 2*l**2 in the form q*l**3 + m*l + u + d*l**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 50*b**5 + 945*b**4 + 2305*b**3 - 440*b**2 - 3180*b + 320 = 0.\nAnswer: -16, -2, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 47181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -282 + 471. Let d be 93*5\/15 + -1. Let y be 1 + d*4\/6. Calculate the highest common factor of f and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -282c14?\nAnswer: -282c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by 11113.\nAnswer: -39\/11113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 u when three letters picked without replacement from uuusjmjrusj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13308 is divided by 1329?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 7*d**2 - 5. Let h(a) = 24*a**2 - 51*a**2 + 35*a**2 - 8 + 12 - a**3. Determine -5*h(t) - 4*l(t).\nAnswer: t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7939 - -7938. What is the closest to 1 in 2, z, -3\/4, -20\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - 4)\/(1\/4). Factor 4*v + 7*v + v - 6*v + 2*v**2 + b.\nAnswer: 2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-14*(-375)\/(-420))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91935.\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(400)\/(sqrt(64)\/sqrt(392)))\/((sqrt(10) - sqrt(10)*-5)*4 - sqrt(250)*-3).\nAnswer: -7*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) 1\/150  (c) 704217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2581 + -1799. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 22*p + 2 + p**2 + 21*p)*(3*p - 4*p + 4*p)*(-4 + 0 + 3) to v*p + z + u*p**2 + c*p**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4*y + 16 = -8*y, -2*y = 5*f. Let k be 3\/(-18) - f\/60. Do 1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -2*w. Let u = w + 0. Let j(s) = 2*s - 1 + 0 + u*s. What is j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*m**4 + 152*m**3 - 64*m**2.\nAnswer: 4*m**2*(m + 8)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**45\/((w**(5\/3)\/w)\/w)*w**(-3\/8)*(w\/(w\/(w*w**15*w)))\/w assuming w is positive.\nAnswer: w**(1463\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1693, 4762, 7829, 10894, 13957, 17018, 20077?\n\"Answer: -a**2 + 3072*a - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*b + 11. Is 1 - b - (-573 - -20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*f - 3*f - 2*f)*(5 + 7 - 3)*(-2 + 3 - 2) in the form q + h*f and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117\/507 + 13254\/39 + 2\/(-26).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 5*i - 8*i. Is 11 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 22055*k**2 - 22053*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-30) - ((-2672)\/(-30))\/8. Let b be t\/(55\/(-720)) + -1. Suppose -647 = -4*v - 5*z, v - 7*z = -2*z + b. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -15*j. Let b(x) = -7*x**2 + 10. Determine b(f(c)).\nAnswer: -1575*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5135 divided by 13.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g + 3. Let w(s) = -s - 1. Let d(o) = -5*w(o) - 2*y(o). Let n be d(5). Solve -x + 2*t = 8, 4*t = -x - 0*t + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 290000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -8*y - 7. Let a be m(10). Let b = -64 - a. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 258 = q. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1446 and 1292001.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -27 + (-1 - -6) + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**2\/5 - 186*k\/5 + 2883\/5 = 0. Calculate k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 67787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**2 + 2*h**2 - 2*h**2 + 2*h**2 - h + h + (h - h - 2*h)*(4 + 2*h - 4) - 12*h**2 + 25*h**2 + 5*h**2 as i*h**2 + q*h + v and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1610 and 3976378?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 - -242051353?\nAnswer: 242051325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.1, -4, 9, -2\/7, 2, 1.18 in ascending order.\nAnswer: -4, -2\/7, 1.1, 1.18, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-33)\/27 + (-2)\/(-9). Let p be m*(-3 + 3 + 0). Suppose p*d + 1200000 = d. What is d rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0707?  (a) -3  (b) 9  (c) 3  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s - 85. Calculate b(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11456 - -17?\nAnswer: 11474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/3, 2\/5, 2.1, 9\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4742360224 - 74661\nAnswer: -4742434885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/15163002 and 19\/922464?\nAnswer: 242608032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8182\/63 - -2690\/21. What is the common denominator of j and 53\/30*(-5)\/(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1484*l**2 + 397*l**2 - 1 - 810*l**2 - 14*l**2 as a + c*l + s*l**2 and give s.\nAnswer: -1911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x + 10*x - 72*x**2 + 74*x**2.\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 9*z**2 + z + 2. Let q = 7 + 2. Let c be i(q). What is the second derivative of 4*m**3 + 4*m + c*m**3 + 0*m**3 wrt m?\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s - 53*s + 8364 = 4*s. Solve s*g = 120*g - 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1851200\/(-10680))\/(8\/(-3))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1372310 is divided by 2853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 660 and 220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*y + 2022 - 671 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j. Let r(y) = 29*y. Determine r(t(c)).\nAnswer: 290*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 159.5 - 160. Which is the second smallest value?  (a) -2\/7  (b) -93  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 780\/671 or 2?\nAnswer: 780\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 + 70. Suppose -6*s = -3*j - s, -5*j = h*s. Let o be 2\/7 + 82\/7. Solve -6*b + 4*b = -5*w - 31, 4*b - o = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13869829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - 11 - -3 - 6\/(-2). Solve 8*c + 15 = -l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**5 - 279381*g**4 + 279408*g**3 + 2235036*g**2 - 3352608*g = 0.\nAnswer: -93128, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10267056 - 3?\nAnswer: -10267059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -35*o**3 + 84090*o**2 + 795825*o + 325620 = 0.\nAnswer: -9, -3\/7, 2412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51640 is divided by 25682.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/4824 and -61\/3544.\nAnswer: 2137032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-3) + (-113)\/(-3). Suppose 4*k - m = -2*n, -5*n + k = 5*k - 119. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from zxzxxxzzxddvxdv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - -42 - (-54 + 97).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8906607097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -7933.\nAnswer: 2\/7933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -71?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(176))**2.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -r - 2*d - 4, -5*r = 3*d - 27. Suppose -2*v - 3*j + 25 = 0, -4*j + 28 = r*v - v. What is the smallest common multiple of 3 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -21\/180433?\nAnswer: -21\/180433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 - 37. Is v less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -2*t**6\/21 - 47*t**5\/35 - 46*t**4\/7 - 263*t**3\/21 - 41*t**2\/7 + 40*t\/7 + 120. Find u, given that w(u) = 0.\nAnswer: -5, -4, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012222 + -11?\nAnswer: 1012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 2\/3*g**3 - 121*g + 0*g**2 - 79\/4*g**4 - 28. Differentiate r(n) wrt n.\nAnswer: -237*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 640097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 9*y**2 - 8*y + 3. What are the prime factors of n(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-10)\/(-8)*2)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9.4, 1, -38\/9, 15, -0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4858*d - 2. Let r be a(-2). Let o = 674 + 208. Let z = o - r. Round z to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 782378287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, y: 2, d: 1, p: 2}. What is prob of sequence yvy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9862 - 216861\/22. What is the common denominator of n and 17\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 38*t + 34. Let i be s(39). Let k(r) = 521*r + 365. Let n(q) = -781*q - 548. Let g(l) = i*n(l) - 7*k(l). Differentiate g(u) with respect to u.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*k - 11*k + 13*k + (1 + 0 + 1)*(-6 - 9*k + 6) + (2*k + 1 - 1)*(-2 - 1 + 1) + 3*k + 0*k + 2*k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1122)\/(-34))\/(-924)*(-20)\/(-15).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of o**2 - 4*o - 2. Let t be v(3). Suppose -6 = p - 5*f, 4*p + f - 18 = -0*f. Solve t*y - 2 = p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 2)*(-2*m + 4 - 4)*(-3136 + 3136 - 70*m).\nAnswer: -560*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*u + 0*u + 0*u)*(15*u + 122 - 122) - 3*u**2 + 2*u**2 + 6*u - 2*u)*(-12 + 5*u + 12).\nAnswer: 145*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5*f = -89710, -4*x + x - 3*f = -89712. Suppose -x = 4*a + 68495. Round a to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1 + 1 + 3*x. Let c(l) = -110*l + 195. Let a(b) = -7*b + 12. Let u(t) = -65*a(t) + 4*c(t). Determine 21*q(y) - 4*u(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19.389517 or -4?\nAnswer: -19.389517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 102121769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3466 + 1312616?\nAnswer: 1316415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101 (base 3) to base 5.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/716 and 43\/11.\nAnswer: 7876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 3*y = 3, -48*y + 46*y = -5*c - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 308569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + 1. Let z = 22350.6982 + -22370.7. Let d = z + r. Round d to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.26 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -107 and -0.6.\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -20, -5*d + 4*t = -10*d + 17351. What are the prime factors of d?\nAnswer: 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**3*h**5 + 1771*a**3*h - 316244*a*h**5 - 2739*a*h wrt h.\nAnswer: -40*a**3*h**3 - 6324880*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 5. Suppose -u*n = -3*z + 26, -4*z + 4*n - 3*n = -63. Let x = 4 + z. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -5*j**2\/2 + 38*j + 1283. Let a(h) = -4*h + 37. Give -7*a(t) + 6*s(t).\nAnswer: -2*t - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.504+1633.156\nAnswer: 1633.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 374732.\nAnswer: 2, 93683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 70 or 6251\/88?\nAnswer: 6251\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -838743 divided by -3539?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -57*q*x**2 - 2009*q*x - 2*q - 2504893*x**2 with respect to q.\nAnswer: -57*x**2 - 2009*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -414 + 9210?\nAnswer: 8796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -321 + 61 = 20*v. Is v less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*w**2 + 18*w + 10 - 20*w**4 - 33*w - 22*w**3 - 53*w**3 = 0 for w.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 3*m**2 + 1 + 3*m**2 - 3*m - 2*m**2. Let a be (4\/(-10))\/((-3)\/15). Let w be a\/(-4)*(13 + -3). Give n(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -23*z - 17*z**2 + 23*z. Let y(d) = 14*d - 9*d - 3*d**2 - 5*d. Determine y(h(s)).\nAnswer: -867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -456, -685, -914, -1143, -1372?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 p, and 1 h when four letters picked without replacement from uidhuudpudupudiipu.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 491529 divided by 3?\nAnswer: 163843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3*j + 80. Let a be (-22)\/121 + j\/(-22). Let o be (8*3)\/(-4)*a. Calculate the highest common factor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -5*s**2 - 3*s - 9. Let v(d) = -d - 2*d**2 - 9*d - 9 - 2*d**2 + 6*d - 2*d**2. Determine -4*m(f) + 3*v(f).\nAnswer: 2*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6*15\/2. Let p = 8 - z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-48)\/(-50))\/(182\/455))\/(((-312)\/65)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 0 + 4\/5*j**2 + 16*j - 4\/5*j**3 = 0.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 3*v**3\/4 - 51147*v**2\/4 + 510270*v = 0.\nAnswer: 0, 40, 17009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/((-28875)\/44)*28\/8*(-6)\/28?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13916, -27832, -41748?\n\"Answer: -13916*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 929172 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 (base 3) in base 4?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 450 (base 15) in base 7?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 479688 and 2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhsddddddqqdddjjodd. What is prob of sequence hoq?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -37 + 54*m**2 + 3*m + 29*m**2 + 58*m**2. Is d(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**11\/w**(-14\/3))\/((w**(-27)\/w)\/((w**18\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 12  (b) 3  (c) -0.3  (d) -1  (e) 5  (f) -12\/313  (g) -91\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -101014314 - 31?\nAnswer: -101014400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/2*(-11 + -3). Suppose 5*g + 15 = 3*q, 5*g - 2*q + 0*q + 20 = 0. Let y = i + g. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 2. Let o = g - -5. Suppose 4*a + o*u = 7, 4*a + 3*u = 7*u. What is the third smallest value in -0.2, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4169557963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ueguuuueugu. Give prob of picking 1 e and 2 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 22*o + 38. Let t(j) = -j**2 - 4*j + 3. Calculate the smallest common multiple of m(23) and t(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 67*i**2 + 61*i + 361. Let o be v(66). Solve -4*k + 45 = 5*y, -4*y - k + o = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 44685 or 44692?\nAnswer: 44692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -513249307 + 9989126651\/20. Let s = 13799657 + c. Let z = s - 6684. What is the common denominator of z and -5\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8412 - 3740. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-20) + 1\/2. Let k be (-1*8\/80)\/((-9)\/60). What is the closest to k in t, 0.1, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8\/47 + 409\/470. Calculate the common denominator of u and -41\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2801*v + 5858*v = -2733*v - 273408 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -1. Let v be -2*(1*-5 - g). Let w(c) = c**2 - 4*c - 2. Let n be w(-4). Calculate the greatest common factor of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600444?\nAnswer: 2, 3, 13, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5241622*b + 9077553 wrt b?\nAnswer: 5241622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-6)\/90*-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 62*h + 176. Calculate g(63).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -323, -172, 73, 406, 821?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 6*g - 182 = 15*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-12)*(-261)\/435*20. Determine h so that -312\/5*h**3 - 4\/5*h**5 + 0 - 196\/5*h - 448\/5*h**b - 64\/5*h**4 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 634 - 595. Put c, 4, -4 in descending order.\nAnswer: c, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.2  (c) 0.251  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.81396 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15433 - -15534. What is the remainder when 155 is divided by i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1)*z**(3\/4))\/(z**0)**(-20)*z*z*z*z\/z**(-6)*z*(z*z**1)\/z*z*z*(z**1\/z)**(1\/14) assuming z is positive.\nAnswer: z**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 2. Let r = -5 - t. Is 13 a factor of -4 + r + 2*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*u, 4*w - 2*w = -3*u + 399. Let q = w - 127. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*u + 2049 + 7439 = 2756 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -0*g - 2*l - 9, -4*l = 16. Find the common denominator of 64\/9 and (-1)\/g - 16\/(-20).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 24 = -m, -14*y = m - 19*y + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -187 + 194. Which is greater: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*q = 70*q + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/10)\/3*(-30)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1267*w + 995*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 323032431 (base 5) to base 2\nAnswer: 101010000001111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-140*v**3 - 201*v**3 - 25*v**3)*(1 - 1 + 1)*(-3*v - 12 + 12).\nAnswer: 1098*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -43*n + 5. Let f = -8017 - -8018. Let q(o) = -o + 1. Determine f*m(k) - 4*q(k).\nAnswer: -39*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/203403?\nAnswer: -2\/203403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.09837 * 58\nAnswer: -5.70546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000913324 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4648 and 7398371.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**6\/120 - x**5\/6 - x**4\/2 - 11*x**3\/6 - 3*x**2. Does 12 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -46) + -15 - -5 - (0 + 0)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**4 - 5*j**4 + 0*j**4)*(5*j - 3*j - j) - 69*j**3 + 3786*j - 3786*j + 2*j**5.\nAnswer: -2*j**5 - 69*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 44461917821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 49*o + 2 - 8 - 76*o + 30*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*i + 28790 = 0, -21*i + 71961 = 5*o - 23*i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**5 - 2*d**4*f - 35*d**2*f - 28*d*f - d - 2*f wrt d.\nAnswer: 20*d**3 - 24*d**2*f - 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 351 + 3?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 6*p**2 - 11*p - 11. What is q(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1302943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 202?  (a) 1  (b) -6\/5  (c) -2\/13301  (d) -0.5  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111444.\nAnswer: 2, 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 1\/2*l**2 + 1\/3*l**3 - 4*l + 0 + 1\/6*l**4. Calculate p(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*m = -140 + 62 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -24) + (51 - (-12 - -33))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -2, -0.4, 0.1, 236 in increasing order.\nAnswer: -2, -0.4, -0.2, 0.1, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278*d + 258*d = 0. Solve 3*x - 89 + 101 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -5. Suppose -b*x + 2*p - 11 = -3*x, p - 18 = -3*x. Solve -x*u - 29 = -4*f, -u = -2*u + 2*f - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 54*w**2 + 10*w - 11. Let i be t(1). Suppose -d - v + i = 0, -d + 82 = d - 4*v. Calculate the smallest common multiple of 4 and d.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1977 - -0.2023. What is the smallest value in -13, -4, g?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 3*u = -3*s - 762, 2*s + 2*u - 292 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/4 - 205*i**2\/4 + 103*i\/2.\nAnswer: -i*(i - 1)*(i + 206)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j**6 + 3677*j**4 + 311*j**2 - j + 5 wrt j?\nAnswer: -120*j**3 + 88248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 4*f - 27 = 0, 18 = -5*z - 108*f + 109*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14486940.\nAnswer: 2, 3, 5, 13, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4*p**2 - 2*p - 1. Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 + (3 - 1) - 2. Suppose l - 3*l + q = 0. Sort 1, l, -4 in decreasing order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of -i**5\/20 + i**4\/6 - i**2 + 1145*i. What is m(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 4*k**2. Let t(n) = 5*n**2 - 9*n. Determine t(j(o)).\nAnswer: 80*o**4 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((((-27)\/10)\/(-3))\/(-1))\/(-26*(-2685)\/9308)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**2 + 2650*d - 18305 = 0. Calculate d.\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*a + 423*a = 322*a + 12688 for a.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120002 - 2?\nAnswer: -120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2129296 to the power of 1\/2, to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z. Suppose -40 = -3*o - 22. Let n(v) = -8*v + v + 6*v + o*v - 15. Determine u(n(g)).\nAnswer: -10*g + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 393578185 divided by 17112095\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14916881, -14916884, -14916887, -14916890, -14916893, -14916896?\n\"Answer: -3*s - 14916878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (2 - (5 + -2) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 7:09 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 3*m + 6. Let o be n(6). Let l = -16 + o. Suppose 52*k - 34 = 70. What is the greatest common divisor of l and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 2\/21, 2\/11, -5, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 75\/2 of a millimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 3*l - 1 = 4, -2*r - l - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 59, 661, 1665, 3071, 4879, 7089?\n\"Answer: 201*r**2 - r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63 + 63. Put w, -5, 2 in decreasing order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*s + 62*s - 262*s + 90*s + 52*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142 = -42*o - 58 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 525202968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4021117, 4021097, 4021073, 4021045, 4021013, 4020977?\n\"Answer: -2*h**2 - 14*h + 4021133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 1 + 5 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 55693829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -8*p - 75. Determine d(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -21*j + 74. Let m be s(3). Let q(v) be the first derivative of 2*v**3 - m + 0*v - 11\/2*v**2. Find the second derivative of q(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*v**2 + 0*v**2 + v**2)*(1 - 16 - 2)*(14 - 13 + 8) to the form m*v**2 + g*v + d and give m.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v - 15 - 2 - 2*v. Suppose -19*o - 159 - 126 = 0. What is the units digit of f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*i - 497 - 491 - 380 = 0. Solve 5 = -5*h + 5*m, 70*h - 12 = i*h + 3*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45450 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**6 - 5*c**5 - 1758*c**3 - 138590*c**2?\nAnswer: 120*c**3 - 300*c**2 - 10548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 0*y + y + 105, -82 = 3*f + 4*y. Let p = -18 - f. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 232 = -13*d + 193. Which is the closest to 0.004?  (a) -3\/8  (b) -4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -7786, 2\/17, 2\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-8 - 5) - (1 - -2) - (80 + -34)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3700634 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 p when three letters picked without replacement from popowg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.8 - 1. Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**3 + 112*t**2 + 685*t + 16. Determine k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/15  (b) -3\/2  (c) 2\/5  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 3*g**5\/7 - 64*g**4\/7 + 319*g**3\/7 - 54*g**2\/7 - 1336*g\/7 - 128 = 0.\nAnswer: -1, 4, 16\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 2. Let b(s) = s + 3. Let g be b(-3). Let a be r(g). Sort a, 3, 1 in ascending order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of 29*y**5\/180 - 25*y**4\/72 - 2*y**3\/9 - 1092*y**2. Factor c(g).\nAnswer: (g - 1)*(29*g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1709*1.7\nAnswer: -2905.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5*o + 10 = -10, n = 5*o. Calculate the common denominator of 93\/14 and (31\/n)\/((-2)\/4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -592121, -592122, -592123, -592124, -592125?\nAnswer: -592126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + b = 4*r + 394, 0 = -r + 5*b + 208. Let y = r - 186. Solve -x + 3 - 15 = 4*t, y = 3*x - 4*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l**4 - 2*l**3 + 11*l**4 - 4 + 17*l**2 - 3 + 8 to the form c*l + m*l**3 + h + y*l**4 + d*l**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 815*i - 839*i - 72. Suppose -6 - 14 = 5*w. Put w, i, 0, -1 in increasing order.\nAnswer: w, i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.1  (b) -402  (c) 33\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wreer. What is prob of picking 1 e, 1 w, and 1 r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/5 + 399733*m\/5 + 9430914.\nAnswer: (m + 118)*(m + 399615)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -12*a + 8*a + 9, -2*a + 3*f = -1. Suppose 4*l - 18 + a = 0, t + 4*l - 892 = 0. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 77 = 3*v, 0 = -5*d - 3*v + 49 + 34. Suppose 4*a - 20 = -0*a. Let y = d - a. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 5*h + 28400020 = 0, -4*f + 6*f = -5*h - 11359980. What is f rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-2))\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 382022937 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*f + 19*f - 19*f + 561 = 0. Solve -6*j + 33 = -f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from mzzqqbqmmqmqmdq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 10*o + 7. Let h be v(9). Let n = h - 4. Let t = n + 3. Let p(g) = -g**3 - 3*g**2 - g. What is p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*p + 110*p + 129*p = 46*p + 7260 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 261.66 - 264. Which is bigger: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 901\/119*304\/16112?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 - 7*u + 5. Let j(a) = -3*a + 2. What is -5*j(y) + 2*o(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4699)\/74*(1 + 4\/(-3)). Which is smaller: j or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6512*375\/(-26000) - 99?\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t*t**(1\/8)*t\/t**(-2\/23))\/(t**(-1)\/t)**(2\/7))**(3\/2) assuming t is positive.\nAnswer: t**(22347\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*x**3 - 24*x**2 - 2*x wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4906207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4946095823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(833) + 1)*-4)**2*5.\nAnswer: 4480*sqrt(17) + 67920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/16))**(-27\/4) assuming q is positive.\nAnswer: q**(27\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 10*k + 13. Let o be v(-11). Suppose o*x = -2*x + 112. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 1011100022?\nAnswer: 1011100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -130*r**3 + r**2 - 27*r. Let a(t) = 43*t**3 + 10*t. Give -8*a(s) - 3*f(s).\nAnswer: 46*s**3 - 3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -13*f**2. Let m(a) = -23*a. Calculate t(m(z)).\nAnswer: -6877*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 385 = j - 526, 0 = 4*j - 5*n - 3647. Let u = j - -20. Suppose 5*x - u - 47 = 0. Is x a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxekxxevvxexxxxx. Give prob of sequence kvvx.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 1036. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7728 is divided by 130.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 0 + (-33)\/1. Suppose 20 + 39 = f + 4*r, 4*f = -5*r + 258. Let o = q + f. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/(-208)*8*(-40)\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7045807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34 + 40. Suppose b*f = f + 4*u + 117, f + 4*u - 33 = 0. Suppose m - 5*d = 2*m + f, -d + 79 = -4*m. Is -18 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 179487, 179523, 179549, 179565?\n\"Answer: -5*s**2 + 51*s + 179441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -37. Suppose -i - 5 = -4*z. Suppose -5*m + 71 = 4*p, -4*p = 3*m - z*p - 43. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 56517221?\nAnswer: -56517221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 733*t + 1515*t - 430*t = 0. Factor -1\/2*f**3 + f**2 + 3\/2*f + t.\nAnswer: -f*(f - 3)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-50) - 1287\/110\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 60715199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 24 = 3*j + 8, -11*b = -55 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6379 - -10050. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of 3*t - 1\/20*t**5 + 0 + 16*t**2 + 2\/3*t**3 - 1\/120*t**6 + 0*t**4. What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 4*m**2 + 29*m + 213. Let d be p(-6). Let n = d - 183. Solve 5*w + 6*w = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/2 - (-1979)\/2. Suppose c + 3*c - o = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 16*k**3 + 7*k**2 - 15*k - 59. Suppose 0 = 2*m - 8, -b - m + 11 = -0*b. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 21*f**2 + 29*f - 230. Give d(22).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -67 + 136 + -47 - (0 - -3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151 + 71*x**2 + 151.\nAnswer: 71*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 177008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*g - 40 = 43 - 39 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 160440 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -5*r**5 + 200*r**4 - 1885*r**3 + 5950*r**2 - 5880*r = 0.\nAnswer: 0, 2, 3, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 7*n**2 - 29*n - 114. Let i = 31 - 13. What is the lowest common multiple of i and l(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -162655 or -162574?\nAnswer: -162574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -1 + sqrt(720) + 5 + -6*1*sqrt(720))*-2)**2.\nAnswer: -3360*sqrt(5) + 72196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 512*n = -331*n + 5028 + 13518 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 101*k + 30. Let o be y(12). Suppose -36*l + o = -27*l. What is the greatest common divisor of 12 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 10. Give a(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(500) + (sqrt(500)*-1)**2) + (sqrt(15)\/(2*sqrt(3)*1))**2 + 1.\nAnswer: 10*sqrt(5) + 2009\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 627 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -21 in ascending order.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 6*p - 5. Let t be i(-6). Let x be (24\/(-6))\/(2\/2). Put x, t, 0 in decreasing order.\nAnswer: 0, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.8364 - 3.8364. Which is the third biggest value?  (a) -90  (b) i  (c) -4  (d) -5  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h + 174. Let b be m(-24). Let r(a) = 4*a**3 + 5*a**2 - 5. Let w(t) = 5*t**3 + 6*t**2 - 6. Give b*r(j) - 5*w(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**2 + 60*b + 71. Determine w(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 121 + -100. Let a(w) = 2*w**3 - 3*w**2 - 25*w - 55. Is a(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-63)*13 - (-10)\/(-35).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q**5\/2 + q**4\/2 - 45*q**3\/2 + 95*q**2\/2 + 22*q - 48 = 0. Calculate q.\nAnswer: -8, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 888*l**2 + 150*l**2 + 1038*l**2.\nAnswer: 2076*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - t + 22. Calculate u(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(720) + sqrt(720)*-2 + sqrt(720) + 3 + 4*(sqrt(720) + 0 + sqrt(720)) + 5)**2 + -5.\nAnswer: 960*sqrt(5) + 46100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6250\/(0 - (-3 + 2)). Let m be 40\/((-12499)\/u + 2). What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q - 695 = -705. What is the smallest value in 0.04, -37, -0.5, q?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 43 = 261. Suppose -v + 10 = 2*r. What is the units digit of ((-110)\/r)\/((-40)\/21 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -4. Let h(t) = -8*t - 13. Let w be h(-2). Suppose 0 = 5*x - 3*z - 49, 3*x + 4*z + 0*z - 12 = 0. Solve -a = w*r - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -15406119\/10 and -1540611 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 65 + (-4 + 1 - 3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9551530583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25011 and 20979?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**5\/(g**(1\/7)\/g) assuming g is positive.\nAnswer: g**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20286753.\nAnswer: 3, 109, 62039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -6686?\nAnswer: -6688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1119817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -677988*p - 1490523*p - 73252*p.\nAnswer: -2241763*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 19 - 11. Suppose 4*p - 2 = -s. Let b be 9 + (0 - (p + -1)). Solve -1 = -2*y - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 26 = 2*y, -i = 5*y + 2 + 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1381.\nAnswer: -2\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 5*h - 4*u + 92, 2*u = 2*h - 80. Suppose 53*a - 13497 = h*a. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -29461, -29451, -29435, -29413, -29385, -29351, -29311?\n\"Answer: 3*j**2 + j - 29465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*h = -686*h - 976*h - 70587 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23076.00000054756 + 23076. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 657 divided by -173360.\nAnswer: -657\/173360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13.7 - 20. Let i = p + 6. What is the nearest to -0.1 in i, 2\/9, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 7:33 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -27999 divided by 8\nAnswer: -27999\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**3 + 11*x**2 - 55*x + 257. Give n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14804281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/4)\/(1\/(-68)). Let p be (-2)\/(-2) + 38\/t. What is the third smallest value in 1\/7, p, -2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 1:45 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -405*f**2 - 300*f - 20.\nAnswer: -5*(3*f + 2)*(27*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)\/sqrt(8))\/sqrt(2) + (sqrt(128)*2)**2.\nAnswer: sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**4 - h**4 - 4*h**4)*(2 + 0 - 1) + 0*h**4 + 299 - 241 - 4*h**4.\nAnswer: -6*h**4 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (1 - -3)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7580 + -7576. Solve 0 - m = -b + i, b + 5 = -2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/12)\/((-132)\/(-1782)))\/(114\/(-32)*2)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -843740 divided by 5.\nAnswer: -168748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 2:41 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -958*u + 29520 = -953*u. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 20, -97*t + 3*a = -102*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 1136421?\nAnswer: 3409263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -3, 0, 5, 12, 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 - 53 + 47*v**2.\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 16, f: 2}. What is prob of picking 4 s?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of 0*h**4 + 0*h**3 - 18*h**2 + 0 + 0*h + 1\/10*h**5 - 11\/120*h**6. Find the third derivative of q(b) wrt b.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.44 - 0.603\nAnswer: -5.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 3396*x**4 + 11 + 3494*x**4)*(-1 - x + 1 + (1 + 3 - 5)*(3*x + 3*x - 5*x)).\nAnswer: -196*x**5 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 7:32 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10.062 + 10.1019995. Let l = y + -0.04. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 2312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - 8*o + 11*o)*(-8 - 62*o + 8).\nAnswer: -248*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y - 3. Let x(c) = c**2 + 2*c + 5. Let r be x(-6). Suppose -7 = -k - m + 1, -r = -3*k - 4*m. Let v be k*(-2)\/1 - -2. Calculate b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 53 + 10*m**3 - 44 - 5*m**3 to the form q*m**3 + l + g*m**2 + t*m and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10102100 (base 3) in base 5?\nAnswer: -34433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = u - 2. Suppose 15 = g - 4*p, -g + 3*p = -u + 7. Find the second derivative of 4*h**3 + 37*h + 14*h**3 + 9*h**g + 2*h wrt h.\nAnswer: 162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - 11 - 348*q**2 - 18 - 10.\nAnswer: -348*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 5*v - 46, 4*p + 10 + 18 = 5*v. Suppose 0 = -s + 1 + 3. Calculate the least common multiple of s and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5706900 divided by 1426725\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {r: 7, h: 1, u: 1, q: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 108 + -63. Let r = 29 - p. Let a = -12 - r. Solve -3 = -a*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(28\/(-9))*-1)\/((-175)\/(147000\/(-960))).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 8*h. Let x(z) = -3*z. Suppose 4*g - 5*k - 24 = 0, 5*g - 63 = -k - k. Suppose 0 = -w + 5*q - g, -w - q = 4*w - 23. What is w*s(p) + 11*x(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5989 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 163*m**2 - 480*m - 3. Calculate the remainder when d(4) is divided by 78.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75*b**2*i*y**3 - b**2*i*y - 17419*b**2*y**3 - b**2 + 6*b*i + 2*i*y**2 + i*y + 7*i wrt y.\nAnswer: -450*b**2*i - 104514*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 156 - 1088\/7. Let f = 0.03 - 0.33. Which is the nearest to -3?  (a) k  (b) f  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 + -0.9. Let h = -0.1 + t. Is h bigger than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 2. Let d = 4 + g. Let u be ((-150)\/(-4))\/(d\/104). What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 457 + -439.3. Is -0.5 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36302427 is divided by 279.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00063591404 rounded to six dps?\nAnswer: 0.000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4095139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - 9*y - 1. Give i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -1996*g + 67846. What is x(34)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -95\/578479 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1415, -2589, -3763, -4937, -6111?\n\"Answer: -1174*l - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -2\/3*k**3 + 1\/4*k**4 + 3 - 2*k - 5\/2*k**2. What is the units digit of t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45549.45ug in tonnes?\nAnswer: 0.00000004554945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*h + 1794*h - 115*h - 9580*h - 14294*h.\nAnswer: -22086*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 6. Let w(v) = 1. Let u(m) = 2*f(m) - 11*w(m). Let h(z) = -11*z**2 + 5. Let s(x) = -h(x) + 5*u(x). Let k(r) = -r**2. Determine s(k(l)).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 3*u**2 - 2*u - 2. Let q be f(-2). Suppose 0*x - 4 = -x. Sort x, 16, q.\nAnswer: q, x, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -21, -19, -15, -9?\n\"Answer: x**2 - x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - l - 4 = 0. Let 4*k**3 + 1\/2*k**5 + 5\/2*k**l + 2*k**2 + 0*k + 0 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(14\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007378 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26232 + -26232. What is the nearest to 0.3 in -1\/23, -31, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 37.9578945795 and -0.048?\nAnswer: 38.0058945795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001 - 1011101110110?\nAnswer: -1011101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272698797?\nAnswer: 3, 7, 12985657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1.9  (b) 3.38  (c) 6  (d) 4  (e) 1\/2  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 59*a**3 + 4*a**2 - 4*a - 390.\nAnswer: 354*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 118. What are the prime factors of a?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 + 6*v - 2. Let y(z) be the second derivative of z**4\/12 - 11*z**3\/6 + 2*z**2 + 17*z. Let p(k) = -5*t(k) - 3*y(k). Solve p(h) = 0 for h.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891)*2 + 0 - ((sqrt(44) - sqrt(44)*-1)*2)\/sqrt(4))**2 + 0.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/85)\/((-4149)\/(-23511))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58609404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -108624 + 5?\nAnswer: -108619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from toohuuuoto. What is prob of picking 1 o and 1 u?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25 and 2.1.\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 189035046 to the power of 1\/2, to the nearest integer?\nAnswer: 13749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -163 * 2557\nAnswer: -416791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 10*x**2 - 10*x - 7. Let g be a(-9). Let k(d) = -2*d**2 + d**3 - d - 1 + 3*d**g + d**2. Let b be (-8)\/12*-3 + -5. Determine k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 76433*n**3 - 2*n**2 + 69074*n.\nAnswer: 458598*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 17. Let i(c) = c - 1. Let n(r) = b(r) + 3*i(r). Let s be n(-14). Let g(x) be the first derivative of x**2\/2 - x + 12. Determine g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 513355112 (base 6) to base 5.\nAnswer: 4231131131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 13*d**2 + 63*d + 15. Let m be a(-7). Let b = m - 207. Solve -5*r - 2*y + 1 = -3*y, 0 = -5*r + b*y - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -167134120116 take away 6?\nAnswer: -167134120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 618 divided by -103\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79779397.\nAnswer: 79779397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 99*m**3*s**2 + 3*m**3 - 538*m + 167*s**3 - 5 wrt s.\nAnswer: 198*m**3*s + 501*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 - 4*u**2 - 5*u + 4 + 5*u**2. Let j be 8 + 1653\/(-228) + (-54)\/8. Determine g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 113 + 113. What are the prime factors of c?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from geggygyygygyyggygyy.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2088604561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 16*i - 13*i - 6, j + i - 6 = 0. Solve j*r - 8 = 11*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 460557 is divided by 281.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4535.9 - 4536. What is the closest to 2 in o, -3.9, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2 = -2*i. Suppose m - 2*m = 2*o - 42, -118 = -5*o + 4*m. What is the smallest common multiple of o and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0509913 nanoseconds to seconds.\nAnswer: 0.0000000000509913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i + d + 21, -2*i - 3*d + 5 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -368*k + 232*k + 9351 = 1191 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -12) + -3 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 136, 134, 124, 106, 80, 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 8 = -k - 22, 14 = 2*k - 4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5 = 1. Suppose -s + 5 = -r. Suppose 0 = m, -4*c + 2*m + s = -1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 249 = p. Suppose -24 = -h - 3*g + 16, -5*g = 2*h - p. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2*sqrt(136)*-1 + sqrt(136) + 5*-2*sqrt(136))\/(sqrt(72)\/(sqrt(9)*-1)*-4).\nAnswer: -33*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*n + 25 = 0. Let k be (11 - 12)\/((-1)\/n). Suppose 1980 + 2125 = k*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 339*u - 105. List the prime factors of b(5).\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + p = 0. Let k be p + -2*1\/2. Let b = k + 5. What is the highest common divisor of b and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, -3, -5, 1, -108, -4 in ascending order.\nAnswer: -108, -50, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 132 and 13563654?\nAnswer: 298400388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffha.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 4. Suppose p - 20 = -l*p, -21 = w - 4*p. Let j be (4\/(-10))\/(w\/5). Solve x - 6 = -j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 172.07924 - 171.45. Let l = q + -5.62954. Let h = l - -5. Round h to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 14. Suppose o = -4*o + l. Let z(v) = 10229*v - 40914. Let u be z(4). Solve o = -f + u*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 x, and 1 z when three letters picked without replacement from {x: 12, o: 2, f: 1, b: 1, z: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (k - k + 3*k)*(31 - 33 - 21) + (420 + 8*k - 420)*(5 - 3 - 1) in the form h + i*k and give i.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 1 - 1)*(4*p**2 - 2*p**2 - p**2) + (2*p + p - p)*(-3*p**2 + 2*p**2 + 3*p**2) - p**3 - p**3 + 0*p**3 + (2 + 1 - 2)*(-3*p**3 + 0*p**3 + 0*p**3).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13567 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x**2 - 50468923*x - 195339 + 195339 + 50468923*x.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*r + 3*r + 22*r)*(1 - 2 + 2) + (-1 - 5 + 4)*(5*r - r - 3*r) - 3*r - 3*r + 5*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39284234.\nAnswer: 2, 11, 1785647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2. Let o(j) = -32544*j**2 + 52*j - 3. What is o(w(i))?\nAnswer: -130176*i**4 - 104*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0152467 rounded to four dps?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 1115400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*l + h, -4*l + h + 19 = -1. Suppose l*s + 3*k = 2*k + 71, 3*k = -3*s + 42. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 75*o**5 - 14244915*o**4 - 39886143*o**3 - 39316461*o**2 - 15954528*o - 2279220 = 0. Calculate o.\nAnswer: -1, -2\/5, 189935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 179 + 773*g + 59 + 58.\nAnswer: 773*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1)\/s)\/s*s)**16\/((s\/((s**(1\/3)*s)\/s*s))\/(s**3\/s)))\/((s**(4\/5)\/(s*s**(-2)))\/(s\/s**1)**(-36)) assuming s is positive.\nAnswer: s**(-472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/2)\/(-1*50\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.95725 * 2.\nAnswer: -1.9145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8723 + 13726. Suppose 4*y - y = 4*d + 3729, 0 = 4*y + 5*d - t. Calculate the greatest common factor of y and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a**5\/4 - 53*a**4\/2 + 702*a**3 + 53*a**2\/2 - 2809*a\/4 = 0. Calculate a.\nAnswer: -1, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*m + 10 = 0, z = 2*z - 4*m - 5. Let t be 23 + (11 - 40) - -48. Which is the nearest to -1?  (a) z  (b) 0  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000045244 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -33 + 64. Let o = 37 - a. What is the remainder when 33 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6031674 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*k - 15. Let v be 5\/2*(3 - (-22)\/k). Let t be 11\/v - 7\/14. Solve t*c = 5*w, c + 5*w + 4 = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1233982, 2468150, 3702332, 4936534, 6170762?\nAnswer: 7405022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3101738*n**4*v + 2*n*v - 2319669*v wrt n.\nAnswer: 12406952*n**3*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**8*d*d**8*d)\/((d\/((d**(2\/11)\/d*d)\/d))\/(d*d*d\/(d**(-3\/5)\/d)*d*d*d))*d**(-1\/4)*d**(-1)*(d**(-2))**(2\/7) assuming d is positive.\nAnswer: d**(10719\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1727)\/(-22)*2*3. Let c = u - 245. Let z = 411 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/2 - 2\/(-4). Let y be (-3 + (-54)\/(-26))*(-16)\/32. Which is bigger: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4452620 (base 7) in base 8?\nAnswer: -2063647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284*u + 601*u + 12*u.\nAnswer: 897*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259563859.\nAnswer: 71, 199, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/2 - 105\/(-10). Suppose 0 = -d + 5*o + 24, u - 3 = 4*d + 2*o. Solve 2*p - 2 = w, d - 1 = 3*p + 5*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, h: 4}. What is prob of picking 3 h and 1 b?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(-1 - (-1)\/2). Let r = -31 + 17. Let y(b) = b + 14. Let v be y(r). Are i and v nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 12*a**2 + 16*a + 3. Let l be v(11). Let o = -22 + l. What is the common denominator of (-28)\/(-126) + 358\/o and -83\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, l: 4, s: 1}. What is prob of picking 2 s and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -4\/3*s**3 + 0*s - 49 + 4\/5*s**5 + 2*s**4 - 4*s**2. Factor n(f).\nAnswer: 4*f*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -5*s - 1. Let m(u) = -u**3 - 2*u**3 + 2*u + 2*u**3 + 2. Let p be m(-1). Determine k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -17*r**4 + 5*r - 2. Let i(t) = 34*t**4 - 9*t + 5. Let p(x) = -2*i(x) - 5*u(x). Find the second derivative of p(k) wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1050229*t**6 + 1030724*t**2 wrt t.\nAnswer: -126027480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 312729.147 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 180, 331, 492, 669, 868, 1095, 1356?\n\"Answer: n**3 - n**2 + 147*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.09  (b) -15\/4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1 + -2 + sqrt(475) + -1 + -1*(sqrt(475) + 2) + sqrt(475) + sqrt(475) + -2 + 3)**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 1, 3\/2, 0.01, -3\/4.\nAnswer: -3\/4, -2\/9, 0.01, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m + 7. Let x be w(7). Let o(f) = f + f - f + x. Let v(n) be the second derivative of 2*n**4\/3 + 25*n - 12. Determine v(o(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 8. Let d(q) = q**2 + 3*q + 2. Let a be d(j). Suppose 5*w + a = 6*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-4*(sqrt(128)*-1 + sqrt(128))\/sqrt(8))\/(2*-1*sqrt(8)*1) + 3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -37, -82, -155, -262, -409?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11302110133 (base 4) to base 14.\nAnswer: 2b6ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -59*g + 176*g + g**4 - 57*g - 59*g - 4*g**2 + 0*g**2 - 19*g**3 to n*g**2 + b*g + i*g**4 + u*g**3 + l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*k**2 - 8*k - 48*k**2 + 8*k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -s - 18. Let z = s - -9. Let w be (0 - (-2)\/2)*z. Solve -12 = 3*d - w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 0.6. Which is the third smallest value?  (a) 1  (b) x  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, z: 3, g: 3, y: 2}. Give prob of sequence zgzg.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-25)\/(-12)*-2 - (-2)\/12. Let u(d) = -5*d + 3*d + d - 2*d - 4. Calculate u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 6*s**2 - 7*s - 1. Suppose 11*y - 6*y = 35. Let r be a(y). Let v(b) = b**3 + 28*b**2 - 127*b - 4. Let x be v(4). Is x not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 649, 2289, 5031, 8881, 13845, 19929, 27139, 35481?\n\"Answer: g**3 + 545*g**2 - 2*g + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(3\/4))**(-7\/10)\/(p**(-2\/9))**(-13))**(-3) assuming p is positive.\nAnswer: p**(1229\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2 + 16258*d + 66080641 = 0 for d.\nAnswer: -8129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 10:31 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3655 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**2\/7 + 559320*h\/7 + 39104857800\/7 = 0.\nAnswer: -139830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lvlllllllllvllvlll. Give prob of sequence lvvv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -5*l - 5. Let k(j) = j**2 - j - 1. Let u(s) = -f(s) + k(s). Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 30 = -9. Let j be ((-3)\/(-9) - v\/(-90))*22. Let r = -3 - -3. Which is the closest to 0.1?  (a) j  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0.5. Let f = 1.3 + -0.3. Let r = -2069 + 2068. What is the closest to r in p, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**3\/o*o)\/o**(-3\/8))\/(o**1\/(o*o*o\/(o**(-3\/4)\/o)*o)))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2 = 3*b - 2, -28 = -2*t + 3*b. Let f = 37 + -21. Suppose -4*h = -f, 34 = -0*s + 2*s - 2*h. Calculate the remainder when s is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*m = -32*m - 70. Suppose 39*x - 34*x - m = 0. Solve 4*d + d = x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6*m**3 + 20*m**2 + 11*m - 9. Let t be y(12). Let d = t + -9524. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 74, 79, 56, -7, -122?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5462, 5469, 5480, 5495?\nAnswer: 5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -75 + 82.62. Let a = -0.18 - 0.3. Let w = a - g. What is w rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5.47556 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -319, -679, -1195, -1879, -2743, -3799, -5059?\nAnswer: -6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215*z**3 - 117*z**3 - 99*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52698 - 25939. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 11, m: 9}. What is prob of picking 2 m and 2 j?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54462.6 - -0.165574.\nAnswer: 54462.765574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*g**2 - 64698292592 + 64698292592.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 2*r - 3. Let n be 54\/(-15) - 4\/10. Let j be v(n). Solve 5*g + 9 = f - 2, -g = -j*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63311435 and 80578190?\nAnswer: 886360090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -28?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**5 - 2*b**4 + b**3 + 4*b**2 - 2*b + 2. Suppose v = -4*v - 5. Let q(c) = c**3 + c**2 - c + 1. Let d(f) = v*o(f) + 2*q(f). Find a such that d(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -1\/3, -15, -0.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 376\/56*3045\/(-435).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18663461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of -j**8\/56 - j**7\/42 - 13*j**5\/10 + 15*j**2 - 2*j. Find the third derivative of i(v) wrt v.\nAnswer: -360*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*-2*39\/130?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40324428\/286279 - 2\/40897. Let h = q + 140. Let p = 0.21 + -3.21. Which is the second biggest value?  (a) h  (b) p  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -11*b - 139, -3*b + 4*w - 163 = -4*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 120779750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -k**5\/10 + 21*k**2 + 5. Let i(s) = -s - 1. Give b(i(p)).\nAnswer: -6*p**2 - 12*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 145, 175, 215, 265, 325, 395?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from auaaauuaaoaau?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 3:28 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 686*f**2 + 803*f**2 - 1492*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4597436 to the power of 1\/2, to the nearest integer?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 54715, 218685, 491967, 874561?\n\"Answer: 54656*v**2 + 2*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 145 = 151 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -359 - -361. Let m(l) = l**3 + 5*l**2 - 6*l + 5. Let g be m(-6). Solve -t + g = -n*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(29 - 11*v**2 - 29)*(-5*v + v - v)*(-5*v**2 - 4*v**2 - v**2).\nAnswer: -1100*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/318)\/(552\/(-368))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 10*y**2 - 2*y - 7. Suppose 2*z = -55 + 61. Let x be g(z). Suppose 10 = -7*n + 87. What is the greatest common divisor of n and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**3 + 152*l**2 + 12*l - 35 wrt l.\nAnswer: 12*l + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -18*z + 9. Let o be w(-8). Suppose o + 11 = 4*h. Suppose -5*s - h = -d - 6, -d = 5*s - 35. Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 0*p + d - 1822, -2*p + 5*d - 1814 = 0. Find the common denominator of 59\/7 and (-2)\/(-6) + p\/(-126).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5049 and 289575.\nAnswer: 4922775","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 22*w**2 + 1. Let h be v(-1). Suppose 0 = -3*r + y + 68 + h, y + 33 = r. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 33519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-765)\/(-60))\/(2\/24*-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 456711841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -51*p**2 + 428*p + 4396. What is b(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + 1 + 1)*-2. Let t = q + 1. Which is the third smallest value?  (a) -4  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of i**4\/6 - 5*i**3\/6 - 35*i**2\/2 - 2*i - 4. Let j be (1 - (1 + 1)) + -17. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, q: 2, a: 7}. What is prob of sequence aqi?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, s: 1, k: 6, d: 1, v: 5}. What is prob of sequence kks?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8044.894 weeks to days.\nAnswer: 56314.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40805 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/12*8*24\/(-32)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 4*s - 12, 6 = 4*q + 2*s - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -83 by -14672.\nAnswer: 83\/14672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19907 - 39775 + 19944 - 2*s**2.\nAnswer: -2*s**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 7*z**2 - 116780*z - 350349. Determine v(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 7*a. Let m(p) = -29*p**2 + 3860*p - 397. Let y be m(133). Solve a = y*k + 4*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -17, -9651 in increasing order.\nAnswer: -9651, -17, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {u: 3, m: 1, s: 5, o: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 + -49.48. Let l = 9.52 - d. Let x = 28 - l. Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21204036 (base 7) in base 8?\nAnswer: 6673104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a tonne in kilograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (11 - 3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-54)\/6 + 756\/75 and -59\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48839453906801\/10548 + 4630209885. Let s = 2144 - 2512771\/1172. Let t = v + s. Find the common denominator of -61\/33 and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 109\/3 + -36. Let m = -14 - -15. What is the third biggest value in s, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*v + 26, 2*v + 4*k + 1 - 27 = 0. Let m be -3 + 15 + -11 + 7*v. Calculate the highest common divisor of 46 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 u, and 2 l when four letters picked without replacement from {p: 8, l: 2, b: 1, u: 4}.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -1769\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2302 divided by 475?\nAnswer: -2302\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 + 7*g**2 - g + 2. Let l be h(6). Suppose 2*n + n = -4*k - 65, -96 = 4*n + 3*k. Let f = n + l. Solve -f*o - 13 = 2*v - 4*v, 5*v = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 415410 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*q - 2637 = -94*q. What is the second derivative of 355*y + 16 - 2*y**2 - 16 + 113*y**3 - q*y wrt y?\nAnswer: 678*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -329, -659, -989, -1319?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.36952 decades to years.\nAnswer: 693.6952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-5)*(1\/12)\/(66\/(-132))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10101001011 (base 2) to base 9.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 3*z + 69 = s, -2*s - 2*z + 170 = 0. Let n = -26 + s. Suppose 6 = 2*k, -5*k = -v + n + 37. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 3)*(0 + 0 - 2*u**2)*(-25 + 6 + 61) to p + a*u + y*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25821 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -6*l + 1. Let b be w(0). Let z = -41 - -55. Suppose z*a + 8 = 16*a. Solve -a*u = b - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:02 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*-1*sqrt(171) + sqrt(171) + (sqrt(171) + sqrt(171)*2*2 - sqrt(171)))*2)\/(5*(-6*sqrt(36) - 2*sqrt(18)\/sqrt(2))))**2.\nAnswer: 171\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -280 - -279.891106. What is k rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39882, -80117, -120350, -160581?\nAnswer: -200810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -442.41 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 345869.7 centuries?\nAnswer: 3458697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 305?  (a) 0.1  (b) -1\/3  (c) -4  (d) 0  (e) 0.033  (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -1  (c) 11.6  (d) -4  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/12 and 43\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14792 + -14657. Sort b, -3, -2, -14.\nAnswer: -14, -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 206\/(-2350) - 52542\/(-411579)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 893*h**5 - 1762*h**4 + 2387589*h**2 - 35*h + 2?\nAnswer: 53580*h**2 - 42288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2628182.\nAnswer: 2, 41, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**4\/3 - 46*p**3 - 456*p**2 = 0. What is p?\nAnswer: -57, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34560 - 34371 + 313*t**4 + 31*t**4 wrt t?\nAnswer: 1376*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 1:20 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1507 - 1510. Sort b, 31\/2, -0.4 in increasing order.\nAnswer: b, -0.4, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 15 - -3) + 8 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1693391.459 and 1.\nAnswer: 1693391.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*s - 0*s + 117, -294 = -5*s - 3*a. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(4*sqrt(128)).\nAnswer: sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -196.7, 0.02, 35, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 8*t**2 + 2329*t + 128544. What is m(-74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 8*y**2 - 7*y + 14. Let z be c(8). Suppose -z + 101 = -v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 97 - 97.295. Let q = r - -0.456. Round q to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21780.41 years to millennia.\nAnswer: 21.78041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*d + 13. Suppose d*c = 9*c + 220. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2 = -4*m - 12, 0 = -4*x - m - 8. Let y be (-38)\/(-92) + x\/2. Let z be 0 + 2 + -3 + 1. Is y at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-20))\/2*(-846650)\/(-9676)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 434*g - 427*g - 2688. Let a = g + -381. Solve 5*n = 5*t - 35, a*n - 19 = -7*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 175695, 175820, 176153, 176796, 177851?\n\"Answer: 17*k**3 + 2*k**2 + 175676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*y + 3341 = -1471 - 367 - 346 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -264*c**2 - 7. Let y(g) = 789*g**2 + 19. What is -11*n(i) - 4*y(i)?\nAnswer: -252*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p**(2\/5)\/p)*((p*p*p*p**(1\/6)\/p*p*p*p)\/p)\/p)**(1\/70) assuming p is positive.\nAnswer: p**(143\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.94*-739.\nAnswer: 694.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = -7*c - 1235. Let v = c + 90. Sort -13, v, 2, -1 in descending order.\nAnswer: 2, -1, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -808 + 6058. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(1\/3))\/a**2)\/(a**1)**(5\/4))\/((a*a*a**1)**(-29)\/((a*a\/(a\/a**(1\/4)*a)*a)\/(a**(3\/5)*a))) assuming a is positive.\nAnswer: a**(1261\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 35141479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f - 2*f**2 - 4*f - 7*f)*(-7171 + 7171 - 246*f) as r + k*f**3 + g*f**2 + p*f and give k.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -10, 4.\nAnswer: -10, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 7. Suppose 2*d + 1 + 11 = 0. What is the units digit of j(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 5. Suppose -10 = -12*b + 10*b. Suppose -j = -4*s + 20, 0 = b*s - 5*j - 9 - 16. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 785.\nAnswer: 2\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5006, 4983, 4956, 4925, 4890?\nAnswer: 4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 8 = -5*h. Let c(r) = -3 - 15*r + 3*r + 20*r**2 - 19*r**2 + 7*r - r. Let a be c(h). Let b(p) = p**3 + 11*p**2 - p - 9. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-798)\/(-209) + (-2)\/(-11). What is the greatest common factor of 16 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 196 - 535 + 339 + 4286*y**2 + (y + 3*y - 3*y)*(-y - 3 + 3).\nAnswer: 4285*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 12. Suppose -y*l + 84 = -0*l. What is the greatest common factor of 189 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 819 - 821. Let s be 362\/(-70) + -1 - 1. Let c = s + 46\/7. Does y = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2\/3 + 2*u + 2*u**2 + 2\/3*u**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 612598 is divided by 50881?\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -748998 divided by -3.\nAnswer: 249666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 4013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 5*b**3\/3 + 2*b**2 - 24*b + 37. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + p = 17, -o = -2*p - 22 + 29. What is the greatest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - -1)\/(-4 + 6). Suppose f = 2*b + 4*c - 36, 2*c = 3*b - 3*c - 32. Is b\/56 - 295\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13035 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1531, -0.1, -2\/7, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.1, -2\/7, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l = -8*l + 16094. Let d = 687 - l. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*w + 35*w - 567 = -4*s, s - 12*w = 155. Calculate the highest common factor of s and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a + 1. Let l(w) = -3*w - 4. Determine -l(u) + 4*y(u).\nAnswer: -u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2679 rounded to 2 decimal places?\nAnswer: 4.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125\/959 - -284157\/12467. Factor -x*a - 14\/13*a**2 - 84\/13.\nAnswer: -2*(a + 21)*(7*a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56*s**5 + 11*s**4 - 46*s**4 - 36*s**5 - 10*s**3.\nAnswer: 5*s**3*(s - 2)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 567d?\nAnswer: -5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 22*t**2 + t - 27. What is z(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 701050.4ml to litres.\nAnswer: 701.0504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2078.5956 months to centuries.\nAnswer: 1.732163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -448 + 448. Let g(l) be the third derivative of -3*l**3 + 0*l + t*l**4 + 0 + 19*l**2 - 1\/30*l**6 + 0*l**5. What is the derivative of g(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-403*m + 155*m - 214*m) + 2*m + 0 + 0.\nAnswer: 464*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.11127 and -0.912?\nAnswer: 0.80073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17408, -34547, -51690, -68843, -86012?\n\"Answer: -t**3 + 4*t**2 - 17144*t - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -31*k + 2. Let i(h) = 16*h - 1. What is -3*f(r) - 5*i(r)?\nAnswer: 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 10*f**2 - 3*f - 10. Suppose 5*q + 51 = 1. Suppose 4*r - 156 = -g, 6*g - g - 78 = -2*r. Calculate the remainder when r is divided by h(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -6. Suppose -t - 2*h + 7 = -0, -t + 2*h = 1. Let u = 12 - 11.6. Which is the third smallest value?  (a) g  (b) u  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/(-18) + -3 + (0 - 1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3044554 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + 13 - 23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -381\/6160 - -11\/112. Is i at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -689826*n. Let j(q) = -6*q**2. Calculate z(j(v)).\nAnswer: 4138956*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/4032 and 87\/1708.\nAnswer: 245952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 5:26 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24*p**3 - p**2 + 79*p - 5052 with respect to p.\nAnswer: -72*p**2 - 2*p + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 245092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1025923488*w**3*z + 221*w**2*z + 244375*w wrt w.\nAnswer: 6155540928*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((622\/3)\/(8\/12))\/(-1). Let z = b - -318. Solve k = z - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 4. Let d = -141 + 75. Let f = d + 68. Put z, 1, f in increasing order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-3332)*-17)\/((-27)\/(-63))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 517  (b) 77  (c) -0.1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11330201 - -133?\nAnswer: -11330013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -462*n - 564*n + 1333*n.\nAnswer: 307*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -1 + 8*q + 4*q - 3 - 3*q. What is the tens digit of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(170)\/(-2*sqrt(10) - sqrt(10)))**2*-1)*-5 - (0 + ((sqrt(833) - sqrt(833)*-3)*-4*3)**2).\nAnswer: -17273093\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -100011 (base 10) in base 2?\nAnswer: -11000011010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.18 - 0.48. Let o be (-430)\/105 - (-3 - 1). Put -0.2, m, o in increasing order.\nAnswer: m, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 167588 and 12.\nAnswer: 502764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 2*n - n)*(n + 2*n - 2*n) - 119*n**2 + 209*n**2 - 802*n**2.\nAnswer: -709*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63*u**3 - 10*u - 3 + 23*u - 11*u wrt u.\nAnswer: 378*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -0.1, -4\/15, 20, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2011, 5348, 10909, 18694, 28703, 40936?\nAnswer: 55393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 2*f + 3 + 35, 31 = j - 3*f. Calculate the remainder when 57 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-8)*(2 - (-30)\/(-100)*5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10140 (base 6) in base 4?\nAnswer: 111030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1227 divide 3910377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 322182 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -646 = 16*i + 1329 - 1656 + 977 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.41 + 1.29. Let h = -15.7 + b. Let z = -13.999943 - h. Round z to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7038*r**3*v**3 + 16411*r**3*v**2 wrt v?\nAnswer: 42228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1008\/(-105) - 3042\/(-320).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2, 8, 18, 32?\n\"Answer: 2*u**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3866*m**2. Let s(f) = 3*f - 31*f + 9*f + 18*f. Determine u(s(n)).\nAnswer: 3866*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 382729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 61235?\nAnswer: -61235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -259986 (base 11) to base 2.\nAnswer: -1100011101110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 8:37 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0) + (-1 - -5 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 20 = i, -144 = -4*w - 5*i. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(0 - (-7)\/2). Let b be -1*132\/(-30) - 3. Let w = 0.02 - 0.32. Put g, w, b in increasing order.\nAnswer: g, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8114 + -2296. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 2*g = -6, 0 = -5*g + 3*g + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0500687299 to 5 dps.\nAnswer: 0.05007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/35178665 and -16\/55?\nAnswer: 386965315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31, 29, 27?\n\"Answer: -2*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**3*w**3 + 3*a**3*w**2 + 86*a**2*w**3 - 96*a**2*w**2 + 2*a**2*w - 23*a**2 + 14*a*w**3 - w**3 wrt w.\nAnswer: 6*a**3 + 516*a**2 + 84*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/4)\/n)**(-42)*(n\/n**(-1\/2))\/n**(-6) assuming n is positive.\nAnswer: n**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 726468 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103202 - -10?\nAnswer: 103212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52.77 + -53.09. Put s, -3, 1, -2, 1\/4 in descending order.\nAnswer: 1, 1\/4, s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/11)\/c)\/(c\/c**3*c))**(7\/3)*((c\/(c\/(c**(2\/3)*c)))\/(c**(-3\/4)*c))\/(c**(-3)*c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(161\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4326061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/2 and 63\/53000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -215*l**4 + 113*l**4 + 104*l**4 + l**3 + 2 - l to m*l**4 + n*l**2 + t*l + z*l**3 + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/4 and 50\/153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 + -31. Solve 2*s = 2*r, -n*r - 8 = -0*r + 2*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5033\/(-21570)*140\/(-147).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from zwzw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o = -21*o + 33*o + 2*h + 83, -o - 40 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and 1.133327817?\nAnswer: 0.133327817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 80*s**2 - 24. Let o(c) = 37*c**2 - 12. Let y(g) = -13*o(g) + 6*u(g). Let q(w) = -3*w. Calculate y(q(b)).\nAnswer: -9*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1050) - sqrt(1050)*1) + sqrt(504)\/sqrt(48))*2)\/(sqrt(6) - -2*sqrt(96) - 3*sqrt(294)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 17381?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 86*t - 519. Let j(b) = -17*b + 104. Let d(s) = -11*j(s) - 2*q(s). Let k be d(7). Sort 1, k, 2, 12.\nAnswer: k, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746155 is divided by 31089?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.88 - -4. Let t = -47\/260 - -3\/13. Let i = -7\/20 - t. Which is the closest to i?  (a) -0.2  (b) 4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -3*l - 98, 0 = -2*o + 7*l - 3*l + 42. Solve -4*w + o = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1012 is divided by 140.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14176 + 14164. Let m(a) = -a**2 - 9*a + 17. Calculate m(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 595 not equal to 1317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*y + 16*y**3 - 36*y - 3*y**2 + 0*y**2.\nAnswer: 16*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 25*a - 808. Calculate c(32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 551 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -57*m**3 + 2*m**2 - m - 1. Give r(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -29*z**8\/14 - 43*z**5\/12 + 581*z**2. What is the third derivative of w(f) wrt f?\nAnswer: -41760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154290 and 7727983?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76\/504 + (-100)\/450.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/22 != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3449 + 3448.3. Which is the third biggest value?  (a) -0.09  (b) -3\/2  (c) q  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -91.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -110399 - 34?\nAnswer: -110422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 4*m**2 - 5*m. Let w be i(5). Let s = w + -1. Let z = -62\/77 + 12\/11. Is z < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 <= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((15\/(-10))\/(-1*3))\/((-10)\/260)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooqqofqoqofqo. Give prob of picking 2 f and 1 q.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1043*h**3 - 72*h**3 - 2928*h**3 - 1831*h**3)*(-2*h - 3*h + 3*h) in the form w*h**4 + i*h**2 + f*h + g + t*h**3 and give w.\nAnswer: 11748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*z - 4*o + 1334, -z + 436 = -3*o. Let h = z - 298. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 1564 = -2*m + v, -2*v = -10. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21777*w - 3792*w + 1214*w - 2*w**2 + 20945*w - 1918*w + 2.\nAnswer: -2*w**2 + 38226*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 621337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*h - 7*h + 6*h - 2*h - h + 2*h + (h - 2*h - h)*(1 + 0 - 3) + 3*h + 3*h - 4*h - 3*h - 3*h + 3*h + h - 1 + 1 + 2*h + 3*h - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/((-6)\/(-245)) + -1. Let y = -141 - i. Calculate the greatest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.023006 + 14194311.\nAnswer: 14194311.023006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w - 5*a + 3366377 = 0, -34*w + 37*w - 3*a - 1442733 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*m - 35*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-4 + 0 + sqrt(1539) - ((sqrt(1539) + 5)*1 + sqrt(1539)))*-1*5)**2 + 2.\nAnswer: 8100*sqrt(19) + 81002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3129623 is divided by 1854?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 184*h**2 - 149*h - 800. Is c(-6) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6965\/11 - (-4)\/(-22). Suppose -5*w - 97 - i = 0. Let f = -93 - w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*n**4 - 1475*n**3 - 68690*n**2 + 219480*n = 0. What is n?\nAnswer: -236, -62, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 10:53 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/150 and -52\/60975.\nAnswer: 121950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121 + 64. Suppose -102*k + 97*k + t = 0. Suppose -k = -j + 55. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215933299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 10. Suppose z = -9*k + 7*k. Let w(o) = -40*o**3 + 3*o**2 + 2*o + 3. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-41 + 37)*-2*(-2)\/(-8). Let q(v) = -8*v**3 + 6*v**2 + 6*v + 6. Let t(s) = s**3 - s**2 - s - 1. Determine o*q(m) + 12*t(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three thirds of a hour in minutes?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 206100647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 6*t + 9. Let x = -1 - t. Solve -3 = -x*l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -80 - ((1 - 69) + 18 + 19).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17337 + -17299. Put a, -2, -4, 6 in descending order.\nAnswer: a, 6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 6*a + 16 = 0. Let o be ((-4)\/(a\/12))\/((-3)\/5). Solve 0 = -4*p + 3*v - o, 5*p + 5*v = -23 - 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 + -10. Suppose -5*y + r + 3*r = -j, 2*y + 2*r + 8 = 0. Let v be 3 + (21\/(-6) - y\/(-2)). Let g(q) = 21*q - 1. What is g(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1203*m + 95 = -1184*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(34)\/sqrt(8).\nAnswer: sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -10 and -0.00382374552.\nAnswer: -10.00382374552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-101)\/(90597\/312)*46\/(-172).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of j**6\/6 - 331*j**4\/4 + 7*j**3 - 6*j + 466. What is the third derivative of f(t) wrt t?\nAnswer: 60*t**2 - 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*a*z**2 - 4*a + 59*z**2 + 8 wrt z.\nAnswer: 10*a*z + 118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 - 91. Let t = 23.4 + -21. Let s = t - c. Which is bigger: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1301 (base 5) in base 3?\nAnswer: -21110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 - 11*s - 44. Is b(55) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -497*n - 1263. Let a(t) = 10*t**2. Give b(a(u)).\nAnswer: -4970*u**2 - 1263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28\/(0 + (-4)\/(-8)). Let k = 64 - u. Suppose 16 = 3*r + a, 3*r - a - 8 = 6. What is the smallest common multiple of r and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*h = -4*h - 476 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) -76  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {w: 3, s: 2, b: 1, i: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 841*x + 3748 = -846*x + 1790*x - 1196 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -108, -4, -0.3, 26 in increasing order.\nAnswer: -108, -4, -0.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2524?  (a) -4  (b) 1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11253704 - 0.285.\nAnswer: 11253703.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2106.036 litres?\nAnswer: 2106036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 6, -5, 1, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 4*d**2 + 2*d. Let h be (2\/6)\/(2 + (-25)\/12). Determine x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/6*(-9)\/3. Let h be 40\/(-70) - (-60)\/i. Solve 5*q = -5*z + 15, -3*q + z - 19 = -h*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -15 + 0 + (-2 + 2 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (-7 + 47 - 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2787*n + 2715*n = -1008 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4690 or -4689?\nAnswer: -4690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v + 6*v + 4 + 4. Let f = 26 + -26. Calculate the smallest common multiple of 56 and w(f).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 28, 65, 118, 187, 272, 373?\n\"Answer: 8*d**2 + 13*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g - 4, -2*g + 55 = 3*j. Suppose 0 = 5*k - 3 - j. Differentiate -4*s - k + 2*s + 1 with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-73*q**2 + 9515 - 9515)*(6 + 8 - 7).\nAnswer: -511*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/15  (b) 335  (c) 1\/10  (d) -5  (e) 2\/709  (f) 1.4  (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 12*i**2 - 9*i + 23. Let t be q(-11). Suppose -2*z = -5*r + 21, -4*r + 26 = 6*z - 3*z. Calculate the greatest common divisor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 51*j - 235. What is l(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 5*b**2 + b - 1. Let f be m(1). What is the third derivative of r**2 + 2*r**f + 2*r**2 - r**2 + 0*r**2 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 10:05 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3781?\nAnswer: 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 5*q - 36, -5*q - 6 = -4*k + 6. Let v be 264 - 3*k\/6. Suppose v = 5*d - 4*r, -2*d - r + 2*r = -101. 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: Calculate the least common multiple of 1663740 and 100.\nAnswer: 8318700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/sqrt(112))\/(sqrt(9) - (sqrt(9) - -1*sqrt(9)*-1)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 142 = -5*s, s = 3*t - 0*s + 213. Suppose -m = -25 - 3. Let g = t + m. Is -44 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/9  (b) 0.3  (c) 2  (d) 5.35  (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f**4 + 3575*f**3 - 118440*f**2 - 380420*f - 258400 = 0. Calculate f.\nAnswer: -2, -1, 38, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 3 - 6 = t - 6*t, 4*c + 10*t + 3*t - 14*t = 40 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*n + 275*n - 47*n.\nAnswer: 274*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.022 and -1370645.\nAnswer: -1370645.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -932, -1865, -2800, -3737, -4676, -5617?\n\"Answer: -x**2 - 930*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 500071699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 410 - 1234015?\nAnswer: -1233305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.8 - 2.8. Which is the second biggest value?  (a) -3\/2  (b) i  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(216) - -3*sqrt(216)))\/sqrt(8))\/(((-3*sqrt(396))\/sqrt(11) - sqrt(36) - sqrt(36))\/sqrt(4)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26741 at least as big as 27012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 7:17 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1900667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-228984)\/(-48) + 4\/(-8). What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-20)*28*46*150\/1380\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -44  (b) -143.3  (c) -0.11  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a**3 + 8400*a**2 + 3536385*a + 7039210 = 0. What is a?\nAnswer: -839, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**2 + 190 + 561 - 196. Let t be c(0). Suppose -4*j + t = 79. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/4*156\/(-585). Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 461047396*n + 529328074.\nAnswer: 461047396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1*sqrt(300)*6)**2 + 4 + 2 + 6*sqrt(300) + -1.\nAnswer: 60*sqrt(3) + 10802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 6*k. Let y(z) = -7*z**2 - 17*z. Give -17*r(u) - 6*y(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -313298, -313511, -313878, -314405, -315098?\nAnswer: -315963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 112589, 225456, 338599, 452018?\n\"Answer: 138*x**2 + 112453*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*i + 310*i - 182*i = -60*i - 4032 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -191434 (base 11) to base 12.\nAnswer: -122640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.03 + -44.97. Let s = 49 + w. Let u be (-2)\/12 - 22\/(-24). What is the nearest to -1 in s, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1404 and 3458?\nAnswer: 186732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {t: 1, h: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7 - 9)\/((-2)\/33). Solve 5*z + 4*m - 2*m + s = 0, -4*z - m - 24 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 3*x**2 - 2*x + 9. Suppose 0 = -3*y - 42 + 54. Let t be w(y). Suppose -u + t = -110. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115*b - 2018 + 2018)*(-4*b + 3 - 3) + (b + b - 4*b)*(3 - 2*b - 3) - 2*b**2 + 1 - 1.\nAnswer: 462*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3*q + y + 1355, -4*q + 4*y = -1812. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -9*q - 4. Let b(j) = -1. Let t(c) = -3*b(c) + w(c). Let x(k) = 18*k + 2. Let o(v) = 5*t(v) + 3*x(v). Differentiate o(a) with respect to a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002402 to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**5\/20 - r**4\/6 - 2*r**3\/3 + 4*r**2 + 11*r - 2. Factor n(m).\nAnswer: (m - 2)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-2))\/(-3)*14\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {j: 13, v: 1, x: 1, z: 2}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 24. Let h be k(23). Let w be 14 - (0 - -1) - 1. Let v be h + -2*4\/w. Are v and 11\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2424 and 22?\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12877 + -12877. Let g(k) be the third derivative of -4\/3*k**4 + 0 + 1\/6*k**3 + s*k + 34*k**2. What is the first derivative of g(o) wrt o?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v**3 + v**2 - v - 1. Let k be r(-1). Let p be k + 1 + 2 + -1. Solve p*f + 3*f = 5*b, 2*b = 3*f - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 3\/2  (c) 2  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.13 and -44959?\nAnswer: 5844.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 9*g. Let l(k) = 2*k - 48. Let d be l(-26). Let y = 112 + d. Solve 5*a + 3 + y = g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-5)\/(-10))\/(4\/2). Let d = 17.1 - -1.7. Let k = d - 12.8. Which is the nearest to q?  (a) k  (b) 3  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 5*h + 16. Let g be y(12). Let b be 6\/33 - g\/110. Factor 2\/5*u - b*u**2 + 0 + 2\/5*u**3.\nAnswer: 2*u*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence suss when four letters picked without replacement from ssssssssssssussssus?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -34?  (a) -3  (b) 3\/5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -1.1. Suppose -4 + 15 = 2*o - h, -2*o = 4*h + 4. Which is the third biggest value?  (a) o  (b) 1.7  (c) t  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 137749, 137748, 137747, 137746?\n\"Answer: -z + 137750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (113 - 141)*(-2)\/(-20).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -86.94 - -875.388719.\nAnswer: 788.448719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1836938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n. Let l(h) be the second derivative of -h**5\/60 + 13*h**3\/6 + 15*h. Let a(x) be the second derivative of l(x). Give b(a(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101120211120212 (base 3) to base 12.\nAnswer: 1a73a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2 - 6*n + 6. Determine m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 686.36 + 42190.\nAnswer: 42876.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -134610411?\nAnswer: 134610415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 430\/560 - (-2)\/(-14). Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 32217975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5*d = 7*d. Suppose 0 = -t - 0*t + 7. Sort 1, t, d in increasing order.\nAnswer: d, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) - (-5 + -1*sqrt(245) - sqrt(245))) + sqrt(245) + 1*sqrt(245)*5 + -3.\nAnswer: 2 + 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -24 + 5. What is the remainder when 37 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50999566 - 51001095.96066. Let x = b + 1530. What is x rounded to three decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3047 - 3044. Let b(o) be the first derivative of 0*o - 1\/14*o**4 + 0*o**2 + 1\/21*o**6 + 2 + 0*o**u + 0*o**5. Solve b(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 12123120?\nAnswer: 12123131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 2*w - 1, -10 = 3*b + 5*w + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + -4*145\/60*21. Is h <= -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42349000 rounded to the nearest one hundred thousand?\nAnswer: 42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 + 52. Suppose u + z = 5*u + w, -5*u + w = -21. Suppose -9 = -u*o + 11. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5084 + 2621. Which is greater: -2462 or i?\nAnswer: -2462","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d = 65*d - 16*d - 200040. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -73 + 71. Let b be ((-681186)\/21)\/(-2) - d\/7. Suppose 8*x - x = b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/40, -0.1, 5, 31, 5\/3 in increasing order.\nAnswer: -0.1, 1\/40, 5\/3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0248 + 4.9752. Let s = -7 - -6. Let y = -2 + s. What is the second biggest value in y, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*z**2 + 1)*((-z + z - 2*z**2)*(-2 + 1 - 1) + 2*z**2 - 2 + 2 - 3*z**2 + 0*z**2 + 2*z**2 - 102402*z + 3*z**2 + 102404*z - 2*z**2 + 589).\nAnswer: 12*z**4 + 4*z**3 + 1178*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2926269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5521 - -66169\/12. Find the common denominator of a and ((-130)\/4)\/1 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -155. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, n: 1, e: 6, c: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 = -0*u - 5*u. Let r = -124 + 31. Let w = u - r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d**4 - 2*d**4 + 4*d**4 - 67*d**4 - 583*d**2 + 583*d**2 + (2 - 2*d**2 - 2)*(-2*d**2 + 2*d**2 + d**2) - 4*d**4 + 0*d**4 + d**4 - d**4 + 0*d**4 + 0*d**4.\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.11 * -4.1.\nAnswer: 0.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 6*y**2 + 3*y - 5. Let z be p(-5). Let u = -1310 - -1314. Suppose -u*o = 3*s - 58, 9*s + 3*o - 75 = z*s. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4*a - 3*a - 2*a)*(22 - 12 + 2).\nAnswer: -12*a + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 + 3 + 2*q**2 - 3.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/((sqrt(198)\/sqrt(6))\/sqrt(11)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/9 or 4998315?\nAnswer: 4998315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 8 = y, 2*y + 2*l - 5 = l. Suppose 1306 = 2*s + 2*i, 0 = y*s - 2*i + 1417 - 4047. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-29)\/84 - (-2)\/8. Let i be 2\/1 + 320\/(-156). Let f = 50\/39 - i. Which is the nearest to -1?  (a) g  (b) 1\/8  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 34, 38, 40, 40, 38, 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21556, -43103, -64644, -86179, -107708, -129231?\nAnswer: -150748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -251540 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3397, -9081, -17051, -27307, -39849, -54677?\nAnswer: -71791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 0*k + 2\/5*k**5 - 2\/105*k**7 - 10\/3*k**3 + 0 - 2\/3*k**4 + 52*k**2 + 2\/15*k**6. Factor l(q).\nAnswer: -4*(q - 5)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48513.6 - -44876. Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9815773 take away -169?\nAnswer: -9815604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 5651962718?\nAnswer: -5651962718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*q + 35*q - 101*q + 42*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of f**2\/2 - 7*f + 3. Determine x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*a = 799, 4*q - 2*a - 483 - 1123 = 0. Suppose 397*t + 16 = q*t. Solve -l + 2*d - 6 = -t*l, 5*l - 35 = 5*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i + 17. Give v(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.068 times -0.22?\nAnswer: -0.01496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1534 + -2?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 5*u - 6. Let m be l(-6). Let h be 13\/(-4) - (-9)\/m. Let t be (-3)\/h + (-20)\/32. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s - 2. Let p be b(-4). Suppose -5*n - j + 57 = -0*j, -p*n + 3*j + 16 = 0. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*d**3 + 6*d**3 + 72*d**2 + 5*d**3 wrt d?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 4*w**2 + 0*w**2)*(-w**2 + 3*w**2 - 4*w**2)*(12*w + 3*w + 16*w).\nAnswer: -124*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(2)) + (sqrt(2)*-1*1)**2 - (4*2*sqrt(2) + (1*sqrt(22) - sqrt(22))\/sqrt(11))**2.\nAnswer: -132 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.48416 and 2?\nAnswer: 1.51584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13200 and 86600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-114)\/(-4) - 1\/2 and (-1)\/(-4) + (-213)\/(-12)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1003, -1985, -2979, -3991, -5027?\n\"Answer: -z**3 - 975*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66728 is divided by 996.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16\/11 - -1\/22. Suppose -2*x + 2*j = -16, -5*j - 15 - 7 = x. Suppose -15 = -3*y - x*c, -3*y + 5*y + 4*c = 16. Which is bigger: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3*m**3 + m**2 - 5*m + 11. Let x(g) = g**3 + 3*g - 5. Let d(u) = -2*s(u) - 5*x(u). Suppose 4 - 1 = t. Determine d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g - 6. Let o be y(9). Suppose -o*u - 2*u + 95 = 0. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1041053 (base 9) to base 16.\nAnswer: -8857e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6033.419 - -6107.8. Let r = y + -75. Let p = 0.011 - r. What is p rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1617, 1786, 1915, 2004?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1166 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 10:30 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-54)\/(-135) - 12249\/(-15)?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 11:59 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57 + 67. Suppose -i*z + 2 = 2. Suppose z = -5*c + 306 - 11. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*t = -275*t + 6988608. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4 = 2*a + 12, c = 2. What is the common denominator of 121\/6 and a\/9 + -4 + 532\/(-96)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24804*r + 49144*r - 24504*r.\nAnswer: -164*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 8*s + 1)*(-11 - 5 + 2)*(4*s + 1 + 0 - 2*s).\nAnswer: 224*s**2 + 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o + 3573. Let s(i) = -3*i + 14. Give s(n(k)).\nAnswer: 3*k - 10705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1011 + 202. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 306 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, 2, -54, 3, -10 in decreasing order.\nAnswer: 3, 2, 1, -6, -10, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8915548 and 12308.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 297 and 19833?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + x + 17, -3*b - 2*x = -0 + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49*(-11)\/(-154)*(85\/17)\/(14\/(-20)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 174 + 7\/2*p**6 - p - 1\/2*p**2 + 0*p**4 + 1\/3*p**3 + 0*p**5. What is the second derivative of v(a) wrt a?\nAnswer: 420*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/84)\/((-1350)\/(-567)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24509 (base 11) in base 12?\nAnswer: -18470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 548458 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (7\/84*44 + 1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -215711294.2 to the nearest one million.\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.061 + 4.261. Is 1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-1740)\/156 - 4\/26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340*j = 3613 - 12793 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 25\/8 of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-80) + (-12)\/(-10). Let d be ((-4)\/h - -4)\/1. Find the first derivative of b + d + 8 - 5 wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4264558 to the power of 1\/2, to the nearest integer?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -27.74599 to two dps.\nAnswer: -27.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -389 greater than or equal to -394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*p + 940 + 295 + 215 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -5*f**3 + 139*f + 81. Let k(r) = -2*r**3 + 46*r + 27. Calculate -4*d(a) + 11*k(a).\nAnswer: -2*a**3 - 50*a - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 77204 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 437371307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/7, -2\/15, -0.5, -3, 14547?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/84*((-132)\/80 + 2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 - 13*z - 16. Let q be i(-12). Put 0, q, 1 in descending order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 55\/14926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 - -52. Suppose 0 = 5*o - z - 99, 0 = -3*o + z + b*z + 56. Solve h = 5*h - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*z + 12 = 36 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -4*v + 6. Give k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, m: 7}. Give prob of sequence mmc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 9:19 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 1. Suppose 0 = -z*b + 16, 4*b + 251 = 5*p + 3*b. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6397785864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 53670022 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Express -4895 - q + 4885 + 5*q as o + z*q and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**2 + 59*i + 4 + 4 - 18*i + 142*i - 5 to the form p*i + c*i**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -3*f - 304. What is the remainder when f is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -636675 divided by 13\nAnswer: -48975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41533 is divided by 3775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21)\/35*5\/(-11). What is the smallest value in 3\/2, r, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j*j*j**12*j)\/j)\/j)\/(j*j**(3\/14)\/j*j))\/(j**(-21)*j\/j**(1\/7)*j))**(-3\/34) assuming j is positive.\nAnswer: j**(-1299\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(56\/259) - (5 + 4). Let i = -0.6 + -4.4. Suppose -5*o = -3*z + 26, 3*o + 22 = -0*z + 5*z. What is the smallest value in z, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 171.0149 millilitres to litres.\nAnswer: 0.1710149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j**2 + 0*j**2 + j**3 + 0*j**3. Let z(q) = -q**3 - 4*q**2 + 6*q + 8. Let l be z(-5). Determine y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 4*b + 3*b)*(7*b**2 + 2 - 2) + 2*b**2 - 2*b**2 + b**3.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + t = -1801, a + 4*t = 4*a - 1084. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/20 + (-105)\/25. Let y(u) = -3*u**2 - 2*u - 5. Let v(w) = 2*w**2 + w + 4. What is k*v(b) - 3*y(b)?\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/27 - (-34)\/153?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1261, 1668, 4.\nAnswer: -1261, 4, 1668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**2 + 11*u - 9. Suppose -o = 4*t + 42, -3*o + 12 = -2*t - 8*o. Let w(n) = 2*n**2 - 6*n + 5. What is t*w(j) - 6*g(j)?\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -81 - -48. Find the common denominator of 46\/132 + 6\/c and (206\/36)\/((-4)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -21. Suppose 0 = 3*f - 0*f - g. Suppose 0 = f*u - 2 - 3. Solve u + 1 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2308 - -2?\nAnswer: -2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 0.11. Let g = 9.09 - s. Let t = -11 + g. Sort -5, 0.4, t.\nAnswer: -5, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1511a6 - 0?\nAnswer: -1511a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 41273 - -3?\nAnswer: 41276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 9*w**2 - 7*w**2 - 48 - w + 23. Let o be q(7). Let x be o\/14 + 4\/14. Let v(g) = -g**2 + 5*g - 7. Calculate v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18197, 72502, 163011, 289724, 452641, 651762?\nAnswer: 887087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -61 + 61.00012. Round x to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n**2 + 34*n + 80. Give k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*w + 2*w**2 + 6*w - 4 + 2 + (21 - 7*w - 21)*(-3*w + 2*w + 2*w).\nAnswer: -5*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1875088439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001871963 to five decimal places.\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-8)\/(-5))\/((-2)\/(-5)). Suppose -y + 240 = 2*y - 3*j, 320 = 4*y + c*j. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(2\/(325524\/33)). Let u = s + 4936. Find the common denominator of u and -47\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 4\/7, 5.2, -109, -5, 34?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssvsssssssvssssssvss. Give prob of picking 3 s and 1 v.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 0*i - 103 + 99 + i + i**2. Give a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 894084926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*x = x + 69, -x + 4 = 0. Let g(u) = -u**3 + 26*u**2 + 10*u + 101. Let z be g(w). Is -357 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.18 * 715.\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -2*g**2 - 6*g**2 - g + 10*g**2 - 3*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*p + 4*u, -2*u - 78 + 71 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzsqqsqqqsqyqsa. What is prob of sequence sz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g - 4. Let z be k(3). Suppose 3*j - 3*o - z = 4, 9 = -j - 3*o. Solve 0 = -4*w, j = -6*d + d - 2*w + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 13*t - 35. Give l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, m: 5}. What is prob of picking 4 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/15 + 1189\/(-9). Let u = q + 132. Sort u, 2\/5, 0.2 in increasing order.\nAnswer: 0.2, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (b + 7*b + 14*b)*(-1 + 5*b - 3*b + 2) to u*b + q + x*b**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1291*d**2 + 1312*d**2 + 1391*d**2 as k*d + b + c*d**2 and give c.\nAnswer: 1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from wxyxwxwwxxxxdwxxww?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r - 1670 = -6750. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 at most as big as -119434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -498847311*i**2 + 616378063*i wrt i?\nAnswer: -997694622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -17 times -10.69486\nAnswer: 181.81262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -64?\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 5 + (-3 - (2 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 84023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a**4\/2 + 1111*a**3\/2 + 202167*a**2 + 25204618*a + 314745004 = 0. Calculate a.\nAnswer: -493, -302, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12, -33, -54, -75?\n\"Answer: -21*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, g: 2, v: 4, c: 1}. What is prob of sequence cgvg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 76079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*v + 6 = 0. Let x be 45\/27*6\/5. Suppose -v*k = x*k. Which is the second smallest value?  (a) -2\/3  (b) 4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10829\/(-273)*(-20 + 9 + 14)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + 29 + -53 + 36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 2*p + 123. Is a(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1750, -4148, -8152, -13762?\nAnswer: -20978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1225)*2 - sqrt(1225))*1)\/(((sqrt(270) + (sqrt(270) - sqrt(270)*1))\/sqrt(6))\/sqrt(9)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 95461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 109.83767204 to three decimal places.\nAnswer: 109.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/96*(222\/(-28) - (-280)\/35)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 AM and 1:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57613 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 48*m**2 + m + 1. Calculate the remainder when x(1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/22 and (204\/56)\/(2\/(-7))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/153969 and 151\/1326.\nAnswer: 4003194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3066405 or 3066403?\nAnswer: 3066405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 535 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*x - 23*x + 50*x + 87*x to the form g*x + w and give g.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-24))\/((-120)\/(-36))*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/(-4) + 6\/12 - -7 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1615\/11 - 147. What is the closest to -4 in 12, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-2)*4\/(-6). Let w be (0 + 1 + 2)\/z. Let q(i) = i + 2. What is the units digit of q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*j**2 - 2419*j**2 - 3573*j**2 - 3054*j**2 - 3164*j**2.\nAnswer: -12146*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide (-22 - 1280\/(-60))*-26607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -161, -361, -607, -899, -1237, -1621, -2051?\n\"Answer: -23*t**2 - 131*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is e7e7 (base 16) in base 6?\nAnswer: 1134503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2346089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 36\/(-2)*(-3)\/2. Let d = m + -21. What is the remainder when -2 - (-1 + -20) - -2 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2. Let w(m) = 1366*m - 33. What is l(w(u))?\nAnswer: -1865956*u**2 + 90156*u - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9973862227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 367 + -368. Let f = 5 + -1. What is the closest to -1 in f, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287562.29 times 0.2?\nAnswer: 257512.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/6920 and -69\/283720.\nAnswer: 283720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8, -22, -36?\n\"Answer: -14*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, q: 2, y: 1, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -620 = -132*w - 92. Solve 0 = -r + 2*f - w, 2*f = 16 - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-4))\/(51\/612). Let r(c) = -49*c + 2 - 11*c - 4. Is r(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 28. Determine x(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.005 - -452.\nAnswer: 452.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h + 34. Let t(k) = -2*k - 12. Let c(l) = -s(l) - 2*t(l). Suppose 3*f + 0*q = -q + 16, 13 = 2*f + 3*q. Give c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 2*q - 48. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2678 is divided by 372.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 463, 1325, 2763, 4777, 7367?\n\"Answer: 288*t**2 - 2*t + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/15 + 1041892*a\/5 - 3125674\/15.\nAnswer: -2*(a - 1562837)*(a - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 11, 18, 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5, g: 13}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*c**2 + 5*c**2 + 75 + 66 + 80 - 221.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide (-38)\/(12256\/2044 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-40)\/12*12\/10. Let t = 7 + l. Let q be 6\/(-9) + 17\/t. Solve -4*k + q = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 11 + -2 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 551354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 9) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 2*z - 6 = -0, 4*z = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 0*d + 0*d**2 + 24\/5*d**5 - 1\/2*d**6 + 0*d**3 + 7 - 12*d**4. Factor i(m).\nAnswer: -3*m**3*(m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0)**(-2\/21)\/(k*k*k**(-1\/5)\/k*k*k**(2\/5)) assuming k is positive.\nAnswer: k**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.251 + -3.281. Which is the closest to -2?  (a) -0.2  (b) -4  (c) h  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4 = 4*c - 0, 0 = 2*g + 3*c - 25. Let k(t) = -1614*t**3 + t**2 - 1. Let i be k(1). Let v = i + 6493\/4. Is g <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 6) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 - -86. Let p = 27.2 - s. Let l be (0 - 3)\/((-39)\/2). Which is the smallest value?  (a) 1.2  (b) p  (c) -5  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -67\/1373?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*w**4 + 5899*w**3 + 114*w**2 + 2*w?\nAnswer: 96*w + 35394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5216 is divided by 273?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 760 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1333022765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 + 4 = -18*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 74 + -7660?\nAnswer: -7564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.2247 - 1.1147. Put 0.4, -2\/3, -5, n in descending order.\nAnswer: 0.4, n, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (69\/(-276))\/(2\/(-416)). Calculate the greatest common divisor of 182 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 355538?\nAnswer: 2, 17, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccnccccncnaaac. What is prob of sequence aac?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -249.\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 5 = 402*o - 401*o, 0 = o + 4*h + 7 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2 or 2287?\nAnswer: 2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 128438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -335, -1037, -1899, -2921, -4103, -5445?\nAnswer: -6947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q + 6. Let p be h(1). Let j(i) be the second derivative of -i - 4\/3*i**p + 7\/2*i**2 + 0. Differentiate j(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 + 9*s**2 + 10*s - 27. Let o = 14 + -6. Let c be q(o). Suppose 3*h - c = -y + h, -4*y - 2*h = -6582. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 247, 1780, 5941, 14044, 27403?\n\"Answer: 219*q**3 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - ((-1)\/(-1) - -2). Let o = -4 - y. Let i = 18 + -15. Which is the nearest to -1?  (a) o  (b) -2\/7  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 12 = 12. Suppose 12*z - 8*z - 344 = h. What is the smallest common multiple of 6 and z?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6203 + -4090.2418949.\nAnswer: -10293.2418949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211.3145 meters to nanometers.\nAnswer: 211314500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 12:49 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 60\/(-14)*7*(2 - 3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 48173, 48379, 48725, 49211, 49837, 50603, 51509?\n\"Answer: 70*j**2 - 4*j + 48107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (136\/(-2856))\/((-1)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 749 and 126028.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.48157331 rounded to one dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1816, 1814, 1810, 1804, 1796?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**7\/12600 + d**6\/3600 + d**4\/6 - 3*d**2. Let x(g) be the second derivative of y(g). Determine l so that x(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -255*v**3 + 30 + 75\/2*v**4 - 186*v + 747\/2*v**2 = 0?\nAnswer: 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w - 13. What is s(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**3 - 2958*j**2 + 126321*j = 0 for j.\nAnswer: -1027, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1078*n**3 + 857*n**2 - 1870 + 1871 + 1077*n**3 + n to the form f*n**3 + k + i*n + a*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**2 + v + 2. Let u(n) = n - 1. Suppose 5 = -34*g + 39*g. Let y(j) = g*q(j) + 2*u(j). Determine l, given that y(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (12\/2)\/(32\/(-120)*25\/10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -15*h**3 - 2*h - 1. Suppose -3*d + 2*n = -5, -4*d - 6 - 14 = 4*n. Determine m(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.051, 4, -3, 2\/5, -2\/11, 40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i + 9. Let n(u) = -3*u + 45. Let s(t) = -5*h(t) + n(t). Let z(q) = 12*q**2 + 9*q. Calculate z(s(p)).\nAnswer: 48*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + 2. Let i(w) = -2*w**2 + 78*w + 1. What are the prime factors of i(u)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and 17050165.\nAnswer: 17050164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8887.9 + 8888. Which is smaller: -448 or w?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -92, 3, 1035, 0.21, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7920.477 nanoseconds?\nAnswer: 0.0000000022001325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 49 and 4879.\nAnswer: 34153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21049 and 253267.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000349 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 175163\/4 or 43790?\nAnswer: 175163\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -349  (c) 115  (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 318 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 103, -17, 2, -1 in ascending order.\nAnswer: -17, -4, -1, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 584  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 2117266.\nAnswer: 12703596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17219, -69142, -155643, -276716, -432355?\nAnswer: -622554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -122 + 59 + 50 + 202*x. Let q be y(4). Is (-1 - 1) + q - (-5 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -4*u**3 - 5*u**2 + 17*u + 42. What is the smallest common multiple of r(-3) and 172?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 388876102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 147740 < 147727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - (-7)\/(-3))*6. Let p = b - -14. Calculate the greatest common divisor of 42 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of t**3\/3 + 19. Let x(m) = -6*m. Calculate b(x(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/(((-44)\/11)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1368 = -6*q - 18. Let m = q - 114. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2020\/(-60) - -31)\/((-2)\/12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/27874 and 31\/290686?\nAnswer: 2034802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - (5\/(-1) + 2). Let k(r) = 8*r - 1 - 5 + z. Let p(n) = 0*n - 4*n + 3*n. Calculate p(k(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 14*m**2 + 13*m + 12. Calculate t(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -387 or -372?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 11  (b) 0.08  (c) -1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*s - 4 + 5 - 22 - 4*s to the form b + p*s and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2244822 (base 11) to base 10\nAnswer: -3930104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69.08 - 73.2. Let m = z + 4.02. What is the closest to m in -1\/2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.276 and 59750.\nAnswer: 59750.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -105501, -20, 5, -4, 3 in increasing order.\nAnswer: -105501, -20, -4, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -1.6. Let h = 9 - 98\/11. Which is the closest to 2\/7?  (a) u  (b) h  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + -26 + (-5 + (-15 - -19) - -16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -4*b - 2, -w + 1 = -0*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -875, 0.1542, 0.2, 1\/2?\nAnswer: -875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.135, 22104, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1152648 and 3668?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 183*k*p**3*y**3 + 87*k*p**2*y**2 - 96*k*y**2 + 40*p**3*y**2 + 7*p**3*y - 2*p**2*y - 983881*p*y**4 + y**2 wrt y.\nAnswer: 1098*k*p**3 - 23613144*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1269 - -1254. Which is the biggest value?  (a) z  (b) -3  (c) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -388, -1359, -2358, -3385, -4440, -5523, -6634?\n\"Answer: -14*w**2 - 929*w + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from laaaallaalaaaaaaala.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -15*l**3 + 1 + 7*l**3 - l**2 + 7*l**3 + 4*l. Give b(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 12:17 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(4 + sqrt(13) + (sqrt(13) - sqrt(52)) - sqrt(13)) + (sqrt(1300) + 1)*2)*-1)**2.\nAnswer: 660*sqrt(13) + 3409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h - 2*h - 6*h + (-7 + 10 + 5)*(-1 + h + 1) to the form q + g*h and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 297, 593, 889, 1185, 1481, 1777?\nAnswer: 2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 6*y - 13. Let h(b) = -4*b + 34. Let n be h(10). Let t(o) = 3*o - 7. Give n*p(v) + 11*t(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -639*c**3 - 86 + 51 - 2*c**2 - 558*c + 35 + 57*c**3 wrt c?\nAnswer: -3492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/2))**7*z**1*z*(z\/((z\/((z\/(z\/((z*z\/z**8)\/z)))\/z*z))\/z))\/z assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351087*h - 702209*h + 351082*h - 5*h**3.\nAnswer: -5*h**3 - 40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from ggnnnngngnnngn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 28190 = -5*u, 4*r - 11380 = -3*u + 5536. List the prime factors of u.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*k - 1152 = -6*s, 5*s = 4*k + 1399. Let r = 974 - s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5087875 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 5 - 15. Suppose -r*w - 9 = -84. Suppose w*p + 1 = 76. What is the highest common factor of 40 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3 - 74*w**2 - 208*w - 136.\nAnswer: -2*(w + 1)*(w + 2)*(w + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43959 + -43961. Let z = -9.5 + 10. What is the nearest to 26 in x, z, -6\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-36))\/(((-6)\/215)\/(90\/(-100))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-52)\/(-13)*5\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 16*g - 2. Let l(r) be the first derivative of -r**4\/4 - 2*r**3 - 3*r**2\/2 - 3*r + 2. Let a be l(-5). What is the units digit of t(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52.2 + 51.8. What is the third smallest value in 64, 3\/8, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-8)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1375391 greater than or equal to -1375391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - -18 - 9) + -1 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*z + 0*z + 117 = 0, 5*z + 25 = 0. Suppose -265 + f = -11*h. Let j be (-3)\/4*(-56)\/h. Solve 2*o = -5*x, j*o - 1 = o - 2*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125956173?\nAnswer: 3, 7, 1733, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-6\/5)\/s)**(-8))**(-44))**(-7\/8) assuming s is positive.\nAnswer: s**(1848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 AM and 10:25 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from uuuuuuuujuuuo?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -199, -2\/9, 5, -0.3, 22 in decreasing order.\nAnswer: 22, 5, -2\/9, -0.3, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.97573 and -6.3932206.\nAnswer: -5.4174906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2*sqrt(171) + 2)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 257 + -244. Which is bigger: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 2*q + 2*q)*(4 + 2 - 1)*(-23 - 19*q + 17*q + 1).\nAnswer: 10*q**2 + 110*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 543.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3461 and 0.19.\nAnswer: 3461.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + f**2 + f - 1. Let k be r(1). Let m = -3 + 3. Let b be 1\/((-21)\/2) - (-4550)\/1470. Solve -b*g + 2*g + k = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 - 2*z**3 - 3*z**3 - z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23170140 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 586018826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -15 - 2*v**2 + 15. Let l(j) = j**2 + 7*j + 7. Let b be l(6). Let d(t) = 7*t - 85 + b. Calculate d(z(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c2 - -1?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 w, and 2 y when four letters picked without replacement from {m: 3, l: 2, y: 4, w: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*(3 - 244\/12). Suppose 5*u = 4*w - 60, 3*w - u - s = u. Solve 0 = -i - 3*i - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + w**2 + w**2)*(-389*w**2 + 214*w**2 - 32*w + 32*w).\nAnswer: -175*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**2 - 1 + 1 + (-m + 0*m + 0*m)*(-2*m + 3 - 3) + 4*m - 4*m - 6*m**2 + 2*m**2 + m - m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -61 - 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of 1097*a**7\/105 - 1471*a**3\/6 + 174*a**2 + 4. Differentiate b(v) wrt v.\nAnswer: 8776*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11947 + -11946.73885. Round w to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0058501 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.494, -0.1, -3, 1\/9?\nAnswer: -0.494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0021225428 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -316 - 136?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gbqnbqabglqnllgnnnqg. Give prob of sequence lnba.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97296, 191653, 286010?\nAnswer: 380367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*m**3*p**2 - 223*m**2*p**2 + 1012*m*p**2 - 29*m wrt m.\nAnswer: -102*m*p**2 - 446*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, h: 6}. Give prob of picking 2 h.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - -4. Suppose 2*x - b = -x. Suppose -4*l + 2*l = 5*d - 24, 2 = -3*l + 2*d. Solve -2*u = -2*s + x, -4*u + 6 = l*s + s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 104 + -101. Let o = -345\/4 - -87. What is the smallest value in o, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 30289*h**2 - 2*h. Let f be u(2). Suppose -i + f = i. Is 8\/(-20) + -1 + i\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 2\/7, -2 in descending order.\nAnswer: 2\/7, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28*b**2*x - b**2 + 3*x + 30 wrt x?\nAnswer: -28*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (0 + -1 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141595 is divided by 139?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109077*x + 293884*x - 113871*x - 110485*x + 254367*x.\nAnswer: 432972*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -36*n**2 + 289*n. Let i(m) = -43*m**2 + 288*m. Give 6*a(s) - 5*i(s).\nAnswer: -s**2 + 294*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of 3\/2*t**2 - 5*t + 24 + 1\/3*t**3. Give w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2. Let s(l) = 57271*l. Give a(s(f)).\nAnswer: -6559934882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12010121210 (base 3) to base 11.\nAnswer: -69a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10108 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + v + 1)*(0 + 1 + 1) - 1009*v - 63 + 64 - 458*v)*(4 - 3 - 2)*(11 + 11 - 5) in the form w*v + a and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11\/4*v - v**2 - 3\/2 - 1\/4*v**3.\nAnswer: -(v - 1)**2*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2*-1*1*(3 + (sqrt(500) - (-1 + sqrt(500))))*-4*4)**2.\nAnswer: 16389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 37, 102, 199, 328?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50265 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 1)*(20 + 14 + 2*b**2 - 24) + 0*b**2 - b**2 - b**2 + (29 - 29 - 10*b)*(-3*b + 5*b - b).\nAnswer: -16*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, d: 3, i: 2, u: 1, b: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2*r + 13 = 5*x, 2*x = -4*r + 16. Suppose 0 = -2*a - 5 - r. Put -4\/5, a, -2 in ascending order.\nAnswer: a, -2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**5\/20 - z**4\/4 - 5*z**3\/6 + z**2\/2 + 3*z. Let v be k(4). List the prime factors of (-1)\/2*(v - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 392473829.\nAnswer: 11, 47, 379, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 129568?\nAnswer: -129563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27504 + -494951\/18. Let f = -6787 - -4429. Let a = 28313\/12 + f. Find the common denominator of a and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3486113.\nAnswer: 3486113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 2*m - 11. Let u be o(5). Suppose -4*a + 4*s = -28, 0 = 3*a - 5*s + 4*s - u. Solve 2*l = 4*x - 4, -2*l = -4*l - 3*x - a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 97\/2 of a week?\nAnswer: 8148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 29*v**2 + 231*v - 338. Give p(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 32743, 64968, 97197, 129430, 161667, 193908?\n\"Answer: 2*q**2 + 32219*q + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3896053841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -c**8\/336 + c**5\/12 + c**2\/2 + 4. Let g(u) be the second derivative of s(u). What is the third derivative of g(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, u: 2, m: 7}. Give prob of sequence um.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -16. Solve 5*c + 12 = -f, m*c + 4 = f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35820999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10121 - -342012024?\nAnswer: 342022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17904?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4193 and -0.5?\nAnswer: 0.20965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/36 + 0 + (-23)\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -804, -794, -784, -774?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-3))\/(6\/9)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -2425b?\nAnswer: -24260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j + 6. Let q be g(5). Let r(m) = m**3 - m**2 - m. Let f(t) = -18*t**3 + 6*t**2 + 6*t - 3. Let y(l) = q*f(l) + 15*r(l). Factor y(b).\nAnswer: -3*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + s**2 - 1. Let p = -3 + 4. Let k(c) = 13*c**3 + 6*c**2 - 3*c - 6. Let d(y) = p*k(y) - 6*n(y). Find the second derivative of d(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14714)\/(-1051) - (-14)\/(-1). Solve x = 75*f - 3*f + 648 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -562 + -0.003629?\nAnswer: -562.003629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s - 2*s + s)*(107 + 73 - 180 + 3291*s) in the form x*s**2 + v + r*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 784014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**4\/13 - 22*h**3\/13 - 40*h**2\/13 + 64*h\/13 = 0. Calculate h.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 61504.55ns?\nAnswer: 0.06150455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 199 + -198.423. Let v = -1.683 + s. Let w = v + 0.106. Which is the third biggest value?  (a) w  (b) -31  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5667 and 5722 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d + 1 - 7*d**2 - 2*d + 3 + d**3. Let l(p) = 2*p - 10. Let g be l(9). Let c be a(g). What is the highest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -91*q + 1869 - 413 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + u = -b - 14, -u = 4*b + 19. Let l(c) = -3*c**3 - 16*c**2 + c + 14. Let o be l(b). Are -20 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -87 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27.5 - 27. Let j = 0.059 + -0.159. Which is the closest to 0?  (a) 4  (b) h  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3177108312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 6 + 3 - 1658*u - 20 to the form g + l*u and give l.\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 2. Let w(v) = -3*v**3 - 9*v**2 - v + 5. Determine -5*d(y) + 2*w(y).\nAnswer: -y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62042 is divided by 3876?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 454*i**2 + 86*i - 233. What is the thousands digit of w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 100, 183, 292?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/11, 4, -3\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 248634 times 4?\nAnswer: 994536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -6174000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -258 + 374. What is the third derivative of 6*v**4 + 4*v**2 + 3*v**4 - 177*v**6 + l*v**6 + 24*v - 11*v**4 wrt v?\nAnswer: -7320*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71372322 by 294.\nAnswer: 242763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6, h: 5, z: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u**2 - 7*u + 15. Let a(i) = -i**2 + 2*i - 5. Let f(r) = 8*a(r) + 3*h(r). Let b(n) = -n + 1. Give -5*b(y) + f(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 + g**2 + 2*g - 2. Let z be r(1). Suppose s = 3*f + 272, 0 = z*s + 2*f - 6*f - 1080. List the prime factors of s.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001723 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 7:24 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 312970829 to the nearest integer?\nAnswer: 17691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {p: 1, f: 1, h: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**7*x)**(-13\/6) assuming x is positive.\nAnswer: x**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2072581162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 10*g**2 - 3)*(-3*g + 2*g + 0*g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 310\/1350851?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 587245.7 micrometers?\nAnswer: 58.72457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.6111 and 18714.4429.\nAnswer: 18713.8318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 + -21. Calculate the highest common factor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(351)\/(-3*sqrt(9) - sqrt(9) - sqrt(9)) + sqrt(156)*-3)\/(2*sqrt(18)\/((sqrt(12)\/sqrt(18) - sqrt(6)) + sqrt(6))))**2 + -5.\nAnswer: 7993\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2085.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -109610430 divided by 36536810\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v - 17. Let h be n(-26). What is the highest common factor of 12 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16175677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4566.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22242963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -358 + 374.95. Let k = -17 + q. Which is the nearest to 1?  (a) 1  (b) -0.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (7 - 4) + 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2 + 144*q - 1296.\nAnswer: -4*(q - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207320*i**3 - 87122*i**3 - 83788*i**3.\nAnswer: -378230*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a - 44. Let t(u) = 2*u**2 + 5*u - 14. Let x be t(3). Calculate the remainder when 35 is divided by s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -3. Let v(k) = 0*k**y + 0*k**2 - k**2. Let d(w) be the third derivative of -5*w**4\/24 - 6*w**2. Calculate d(v(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4079836*f**5 + 78297*f**2 + 2 wrt f?\nAnswer: -244790160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a**5 - 66*a**4 - 958*a**3 - 534*a**2 + 4544*a + 1320 = 0 for a.\nAnswer: -5, -3, -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41\/42 + -5\/6. Let v = -3\/77 - m. What is the smallest value in v, -3, -76, -1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**4)\/m**(-1\/6))\/((m**3*m)\/m**3)*(m*m**(2\/3)*m)**(-1\/14)\/((m\/m**0)\/(m\/(m**(-2\/3)*m))) assuming m is positive.\nAnswer: m**(51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by -41\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6127603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -7. Suppose -14 = -4*c + l. Solve 0 = 3*m + c*a - 30 + 11, -15 = -4*m + 5*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.006 + -13.006. Let i = 18 + w. Sort 0, -1, -5, i.\nAnswer: -5, -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2953, 2610, 2267?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**3 + 13*c**3 - 8*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8624 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: Suppose -p + 5 = m - 2*m, 8 = 2*p - 4*m. What is the remainder when p is divided by (6 - 66\/10)*-5*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 2*l. Let o be j(4). Let z = 82 - o. Which is greater: 89 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 20 = -j. Let k = j + -10. Let i = k + 4. Solve i*t - 4*x - 24 = 0, -18 = -4*t - 0*x - 2*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -62719  (b) 1\/8  (c) 1\/16  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/2)\/t)**(-2\/29)*((t\/(t**(1\/3)\/t))\/t)**(3\/2) assuming t is positive.\nAnswer: t**(30\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 730806?\nAnswer: -1\/243602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of l - 2 + l**3 + 1\/2*l**2. What is the units digit of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59\/(1121\/(-114))*4\/80.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9)\/6 - (-75)\/6) + -13 + 13. Let m(i) = i**3 + i**2 + i + 7. Let c be m(0). Let h(k) = -7*k - 2*k - c*k + t*k. Let w(j) = 3*j. Calculate w(h(z)).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1.5  (b) -8587.5  (c) 2\/5  (d) 5  (e) 0  (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35 - 7 + 13 - 31 - o**2 wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 3:29 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 383139 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52))**2 + 4 - (sqrt(1053) + 0 - sqrt(1053))**2)*-3 + (sqrt(91)\/sqrt(7)*-2 + sqrt(1053)*-2)**2.\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -31. Solve 4*z = z - j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1330 (base 5) in base 7?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*z**3 - 20*z**3 + 5*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45.5439980367 - 45.544. Round m to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5042, 1260, 7562, 13864, 20166, 26468?\n\"Answer: 6302*p - 11344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -59833 divided by 1\nAnswer: -59833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-4*(sqrt(320) + 0)*3)**2 - (-4 + -2 + (-4 + sqrt(320) + 1)**2).\nAnswer: 48*sqrt(5) + 414397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 1 + 1, 5*m = 5*b - 620. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**3 + 7*k**3 + 13478 - 13478.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-7\/6))\/(x**28\/x) assuming x is positive.\nAnswer: x**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1040656 to the nearest one thousand.\nAnswer: -1041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/42*42\/30*(-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3532 + -3530.3. What is the biggest value in y, -3, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (38\/5)\/(((-42)\/140)\/(((-63)\/(-42))\/1))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -389 - -65. Let l = 328 + o. Which is the biggest value?  (a) -3\/5  (b) -13  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-129) + (-185196)\/78690.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -62, -2\/7, 2\/23, -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -12222 and 174.835.\nAnswer: -12047.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 554503589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.3 - -7.3. Let h = -2.3 + -0.7. What is the nearest to 0.1 in d, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*q - 33 = -6*p, 5*q - 55 = -5*p. Let o = -9 - -15. Suppose 9*w + o = p*w. Solve j + 4 = w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1202210112101110 + -1?\nAnswer: 1202210112101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of u**5\/15 + u**4\/6 + 22*u**2. Factor z(g).\nAnswer: 4*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - 1*sqrt(1088)*-4) + (-4 + sqrt(1088) + -1)**2.\nAnswer: -40*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-36)\/w**(-9\/13))\/((w**(-9\/2)\/w)\/w)**(-3\/38) assuming w is positive.\nAnswer: w**(-35391\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 910*h - 919*h + 4.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-11 - (-1 + -3 - 8)) - 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -v - i, -v + 5*i = 21 - 4. Calculate the common denominator of -44\/7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1612*h - 21 = 1615*h - 105 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175 = 11*p - 243. Suppose -p*k - 66 = -39*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3038?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5*h + 52 = 0, -5*k + 0*h + 4*h = -56. Suppose -12*q = -k*q - 40. Solve -15*o + q*o = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31697?\nAnswer: 29, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -40 + -5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*b + 552*b - 4253 + 3755 - 13704 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j + 3*j)*(-4 - 3*j**2 + 4) - j**3 - j**3 + 0*j**3 + (2*j + 0*j - 4*j)*(-2*j**2 + 2*j**2 + 4*j**2) - 4*j**3 + 2*j**3 + j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 - 16. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 140\/(-21)*-1*3. Suppose -a + 18*q = s*q + 1406002, -4*a - 5623996 = -4*q. What is a rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-37)\/185)\/((-20)\/(-1700)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -411656 - 1.1519.\nAnswer: -411657.1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.78 plus 32?\nAnswer: 17.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -287\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(((-7)\/(-3))\/(-7)). What is the common denominator of (y\/7)\/(-1 - (-9)\/(-7)) and 69\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*t, z - 4*t = -z + 14. Let y be 2\/(-6) + (13\/3 - z). Differentiate 376*b**2 - 376*b**2 - 3 + 10*b**y wrt b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipglocpio. What is prob of picking 1 g and 2 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -301809754 - -301803523.60252. Let g = -6231 - f. Let d = g + 0.6. What is d rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/3?  (a) 2\/11  (b) 1.5  (c) -3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132, 122, 112, 102, 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354*v**3 + 2258*v**3 + 1395*v**3.\nAnswer: 3299*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (3 + -11 + 11 + 8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -a + 3*a. Let c be (1 - 3)\/(a\/(-15)). Let b = c + 53. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x = 5*f - 13, 0 = 3*f + 3*x - 3. Let b = 14 + -9. Let -2*c**b - c + c**2 - 4*c**4 + 3*c**2 + f*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 0 + -7 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 389*c**6\/30 + 109*c**4\/12 - 584*c. Find the third derivative of d(p) wrt p.\nAnswer: 9336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -49754*t. Let p(q) = q + 17. Calculate p(d(r)).\nAnswer: -49754*r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4 = -2*i - 78, -3*i = j - 41. What is the remainder when j is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 - 5*j - 4. Let m be n(-3). Let a be (1 - (-12)\/m)*4. Suppose 0 = -2*x + 3 + a. Solve x*t = -4*z + 10, t + 5*z - 20 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1825 - -1853.51. Round g to 0 decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t**4\/4 + 5*t**3\/3 + 5*t - 8. Let v be o(5). Let x = 317 - 316. Solve 2*f - x = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u = 15*u + 3*j + 1633, -4*j = u + 313. Let g = u + 333. Solve -n + 0*n - h = 1, -n + 8 = g*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000030876 rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 44*g**3 + 7*g**2 + 3*g. Let s(x) = -132*x**3 - 20*x**2 - 8*x. Let z(n) = -11*h(n) - 4*s(n). Is z(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 + 3 + 31 - l + 5*l.\nAnswer: 4*l + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifiqemfiimpfqmf. Give prob of picking 1 p and 1 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4 - 846*s**3 + 834*s**2 + 4214*s + 2532 = 0.\nAnswer: -1, 3, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, 2, 27.1.\nAnswer: 4\/7, 2, 27.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*l - 938 + 81, -3*l + 832 = -4*m. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 6*n - 3*n. Let w(d) = -d + 2. Let r be w(6). Let u(b) = -2*b + 2. Let y be u(r). Solve n = -4*x - x - y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 4. Factor -3*p**3 + 1 + 0*p**3 - 21*p**g - 6*p**3 - 15*p - 4.\nAnswer: -3*(p + 1)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89320801 to the nearest integer?\nAnswer: 9451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12183575\/1956 + -60213\/163. Let q = c + -5870. What is the common denominator of q and 4\/(-14) + (-129)\/(-182)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219623 is divided by 73178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-190)\/133)\/5)\/(10\/385).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 6*g**2 + 12*g + 22. List the prime factors of w(-7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0*b - 28. Suppose 2*j + 0*p = -2*p + 90, -5*p = -15. What is the highest common factor of b and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709197409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 85501448*l**2 + 13407259*l.\nAnswer: 171002896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**5\/5 - 2*g**4 - 12*g**3\/5 + 8*g**2\/5 + 16*g\/5.\nAnswer: -2*g*(g - 1)*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyiiiimiikijkkk. Give prob of sequence jiy.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 31 - 7569*t**3 - 10 - 9.\nAnswer: -7569*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q**3 - 2*q**2 + 2*q + 4. Let v(c) = 4*c**3 + 5*c**2 - 4*c - 9. Let h = -28 - -23. What is h*g(b) - 2*v(b)?\nAnswer: 2*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5 + 55*w - 54*w - 3. Let x be v(7). Which is the biggest value?  (a) -9  (b) x  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422 is divided by 204?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 243*h + 487*h - 169*h**2 - 244*h in the form x*h + r*h**2 + p and give r.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3*f**2 - 13592\/3*f - 5773202\/3.\nAnswer: -2*(2*f + 1699)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1573 - 1562. Let x(k) = k**3 - 10*k**2 - 9*k + 15. Give x(q).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13691168286 - 0.279\nAnswer: 13691168285.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2809 - 2*d - 61*d - 1518 - 1289.\nAnswer: -63*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21.55 - -20.6964. Let m = b - 0.1464. Let q = 10.6 + -0.6. What is the smallest value in -0.5, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkkkdrdkerker. What is prob of picking 3 d and 1 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1062 + -0.8062. What is the second biggest value in h, 20, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -215 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 184*i**2 - 72711*i + 12250. Give g(395).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1742 + -107. Suppose -i - 971 = -2*v + d, 4*v = -d + 5224. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 64) + -380 + 394.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7 + (-20)\/(-10 + 8). Solve 0*k - k = -4*i + 7, -3*i = -t*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 + -2010?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-5)*1*440\/176\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17305.\nAnswer: 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + a2857993?\nAnswer: a2857989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 4*w**2 + 4*w + 2. Determine j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10328?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m**3 + m**2 + 3*m + 16. Let l(h) = -3*h**3 + 2*h + 17. Give 3*l(g) - 2*p(g).\nAnswer: -g**3 - 2*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + w + 2. Let n be s(0). Solve 2*c = -n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l**3 - 56*l + 0*l**3 + 57*l. Let z be n(2). Calculate the highest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 1046*p**2 - 7845*p + 15690. Let n(t) = 3*t - 6. Determine 2*k(i) + 5230*n(i).\nAnswer: 2092*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5417990?\nAnswer: 2, 5, 541799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2694, 1, 94, -4.8 in descending order.\nAnswer: 2694, 94, 1, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1004 - 7024\/7. Put u, 1, 1.9, 1\/2 in decreasing order.\nAnswer: 1.9, 1, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 24*i. Let t(h) = -14*h + 9*h - 6*h**2 + 5*h. Give t(b(o)).\nAnswer: -3456*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -43510 from -84732.\nAnswer: -41222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 6 - 16. Solve -6*j**o - j**2 + j - 21*j**4 - 7*j + 22*j**4 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-16)\/(-128)*(9\/(-15) + 3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 52?\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**3\/5 + 321*l**2\/5 - 633*l\/5 + 63 = 0. Calculate l.\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2626, -6347, -12622, -21451?\nAnswer: -32834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.6 - -1.9. Let d = 0.7 + o. Let u be 1 - 1*(-6)\/(-8). Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53596.3 + -22.8192?\nAnswer: 53573.4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 436 - -144?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 10:33 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**2 - l**2 + 5*l**2 + 4*l - 14*l in the form r*l**2 + o + f*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - -43. Let h be 2 - (2 - r - -2). Suppose -3*c = -h - 50. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75234 or 76?\nAnswer: -75234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 3:24 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 2:32 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.62761ml?\nAnswer: 0.00862761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2192 or 6572\/3?\nAnswer: 6572\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19\/289 or 1?\nAnswer: 19\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 2*b = -50. Let g = 70 + b. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-21 - (-4 + -4)) - -36.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-9))**(-33))**(2\/13) assuming z is positive.\nAnswer: z**(594\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/13763 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/(-1)*6\/(-120)*10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-10) + (-8)\/(-5). Let s(h) = 3476*h**3 - h**2 - h - 2. Let k be s(z). Round k to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64096500 to the power of 1\/2, to the nearest integer?\nAnswer: 8006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sestsjsyketssssssjkt. Give prob of picking 2 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 24.78?\nAnswer: 21.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.559096 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 4*z + 276 = 0, 11*o - z = 8*o + 169. Let k be (-2)\/(-7) - (-152)\/o. Solve x + k = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 33 - 7 = 0. Suppose -28 = -4*g + k. What is the remainder when 21 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79684842?\nAnswer: 2, 3, 67, 198221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 12. Suppose t*r - 2*a = 156 - 9, 4*r + 2*a - 114 = 0. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + 5*k + 7, -4 = 34*u - 31*u - 2*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, j: 3, l: 1, w: 10, d: 1, k: 3}. What is prob of picking 1 j, 1 d, 1 k, and 1 l?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -g**3 - g**2\/2 + 2*g - 9. Let z be h(2). Let u = z + 15. Solve 4*d = -d + 4*v + 27, u = 2*d + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -694?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-15)\/(n**3\/n) assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (492*s + 423*s + 143*s)*(0 - 1 + 2) + (4 - 4 + s)*(-3 + 4 - 2) - 1 + 1 + 2*s as g + p*s and give p.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/5 + 20*l - 1776\/5.\nAnswer: 4*(l - 12)*(l + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -6\/7  (b) 2  (c) -0.2  (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.079 - 162?\nAnswer: -161.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 130 - 91. Let x be 26\/6 + (-13)\/d. Solve 8*c - 9 = x*c - u, 2*u - 8 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {y: 7, m: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -75458908 != -75458906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 193169484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74682102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 621 and 132?\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**8\/10080 + q**6\/360 - q**5\/30 - 4*q**2. Let x(g) be the third derivative of t(g). Factor x(b).\nAnswer: -2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30411 (base 5) in base 9?\nAnswer: -2641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105401, 105408, 105415, 105422, 105429?\nAnswer: 105436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 70165824 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 361 (base 12) to base 3\nAnswer: 200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -13*p + 1. Let t be q(5). Let b = -39 - t. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5143*b*j**2*k + 3*b*k**2 + 319*j**2*k**2 - 21*j**2 wrt b.\nAnswer: 5143*j**2*k + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 1864*n**5\/3 + 10876*n**4 + 162308*n**3\/3 + 149816*n**2\/3 - 39552*n - 512\/3 = 0.\nAnswer: -8, -2, -1\/233, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6157 - -55483\/9. Calculate the common denominator of -31\/4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/22965440 and -61\/89440.\nAnswer: 298550720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1475508, 5901350, 13277752, 23604714, 36882236, 53110318, 72288960?\n\"Answer: 1475280*y**2 + 2*y + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12\/7?  (a) -4  (b) -9  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(960) - (2*sqrt(960) + sqrt(960))) + sqrt(960))\/(sqrt(15)\/sqrt(5)*-6) + 5 + 2.\nAnswer: 4*sqrt(5)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by -12.\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17 + 17 - 8*k**2)*(3 - 3 + 1) + (5*k - 17*k - 14*k)*(-2*k + k + 2*k) to o + m*k**2 + t*k and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 11:49 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((5 - -2) + 8 + 14 + -6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 5*q = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 6:10 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 18 = 2*r + 2*u, -3*r + 2*u + 1 = 0. Find the second derivative of -21 + 18 + 3 - 2*a + 54*a**r wrt a.\nAnswer: 324*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 6*t**2 + 1\/2*t**3 - 40*t - 3\/20*t**5 - t**4 - 1. Solve v(h) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i + 320. Let v(b) = -b**2 - b - 39. Let t be v(0). Let d = t + 71. What is the highest common factor of d and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5424 = 66*j - 50*j. Does -339 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5351760*l**3*q + 16*l**3 - 3*l*q - 399*l + 1140*q + 1 wrt l.\nAnswer: -32110560*l*q + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = l. Let g(a) = -a**3 + 9*a**2 + 12. Let f be g(9). Suppose l = -b - r + 5, 4*r = -2*b + 3*r + f. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 73 + 30 - 6*p**2 + p**3 - 2*p**3 + p - 100. Determine o(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 3  (b) 3.1  (c) -3\/149  (d) -1\/10  (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(8\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 234816 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*w**3 + 32*w**3 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 12, 11, 4, -9?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32287294, -32287291, -32287286, -32287279, -32287270, -32287259?\nAnswer: -32287246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 7) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 38*x + 23 = -33*x, -4*s + 2*x = 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7732*x + 2595*x + 2572*x + 2565*x + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -11209, -5, -15 in ascending order.\nAnswer: -11209, -21, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 9*w + 18. Calculate the remainder when p(3) is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 10 - 27)*(130*j - 5*j**2 + 2 - 130*j).\nAnswer: 100*j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**4\/11 + 656*p**3\/11 - 40780*p**2\/11 - 12400*p + 3638250 = 0.\nAnswer: -27, 55, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(4\/3)*u)\/u*u**14*(u**(-2\/25)*u)**(3\/5) assuming u is positive.\nAnswer: u**(6332\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 5*g**2 + 4*g + 1. Let b be s(-4). Is (16445 - b)*(-15)\/(-60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 91?  (a) -6  (b) 19  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12354 (base 8) to base 12\nAnswer: -3124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000799 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134150413 is divided by 1005?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5946 is divided by 541.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1073*j = -1060*j - 65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -931*o**3 - 430 + 117 - 6*o**2 + 6*o**2 - 136 wrt o.\nAnswer: -2793*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-2))\/((-2)\/24). Let w be 25\/(-10)*(-8)\/10. Let k be (-3362)\/o - w\/(-6). What is k rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 4:46 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b**3 - 3*b**2 + 8*b - 8. Let s(d) = -2*d**3 - 2*d**2 + 5*d - 5. What is 8*s(g) - 5*w(g)?\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -p**7\/252 - 13*p**6\/180 - 47*p**5\/120 - 23*p**4\/72 + 4*p**3\/3 + 3*p**2 + 247*p. Find o, given that h(o) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 4*l**2 - l - 3*l**2. Let h(p) = -2*p**2. What is h(u(x))?\nAnswer: -2*x**4 + 8*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-36)\/60)\/((-1)\/5) - 3. Is b + 7441\/(1 - -6) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1517643, 1517591, 1517539?\nAnswer: 1517487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28460 (base 10) to base 13.\nAnswer: cc53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 193 or 0?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 5:42 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 p, and 2 a when four letters picked without replacement from paaaaplp?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of 7*s**2\/2 + 4. Let o(v) = v - 7. Let h(t) = 2. Let i(z) = 7*h(z) + 2*o(z). What is x(i(p))?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113413 (base 5) in base 2?\nAnswer: 100110110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 92 - (82 + (-40 - -42))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j - j + 0*j. Let w(f) = -95*f**2 + 71*f**2 + 30*f**2. Give w(t(y)).\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -103516363*i**3*v**3 - 158*i**3 + 5*i**2 - 2663*i - 3 wrt v?\nAnswer: -310549089*i**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-12))\/(8\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 12. What is the third derivative of 25*u**3 - 25*u**3 - 5*u**2 - o*u**5 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - n - 3*n)*(272 - 590 + 127).\nAnswer: 191*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 8, o: 2, a: 8}. What is prob of picking 1 o and 3 a?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 133783, 133781, 133779?\n\"Answer: -2*b + 133785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 135 + -231. Let p = f + 98. Let t = -2.93 + -0.07. What is the second smallest value in t, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 0, -2, -638 in descending order.\nAnswer: 0, -2, -14, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of 0 + 0*s**2 - 1\/2*s**4 + 27\/20*s**5 + 0*s**3 - 5*s - 7\/10*s**6. Factor v(j).\nAnswer: -3*j**2*(j - 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2792935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 730280 + 652680. Suppose 2*x - 92208 = v, 5*v + 2*x + q = 2*v. Round v to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jyt when three letters picked without replacement from jhhhjyhyjjttjhhthjy.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) + -6*(-2*sqrt(76) + sqrt(76)) - sqrt(76))))\/(-1*sqrt(12)\/sqrt(3)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h + 49*h - 20*h + 57*h.\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/2)\/((-3)\/6). What is the tens digit of 41 + 6 - 0\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/3422 and 19\/1475.\nAnswer: 85550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5463*t - 10924*t + 5458*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243 = -8*d + 1219. Calculate the remainder when d is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316643818841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + 21000101202?\nAnswer: 21000102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (7\/2 - 4)*2562\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*s**2 + 2\/3 + 4\/9*s.\nAnswer: -2*(s - 3)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-12 - -8) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 9\/4  (b) 101  (c) -5  (d) -7  (e) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 21 = 60. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*z - 5 = y, y = -2*z + 12. Suppose 6*v + o = y*v + 10, -5*o = 3*v - 16. What is the derivative of 5 + 5*k**3 - v*k**3 + 5*k**3 + 10 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u - 46. Give f(-12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p + 4*p)*(-6*p + 4*p + 5*p) + 2*p**2 + 0 + 0.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 4. Suppose -4*s - s = d. Suppose s*k - 2*k = -20. Which is smaller: 11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -o**4\/8 + 3*o**2. Let y(m) = -2*m**2. What is y(z(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 9 = a. Suppose -4*i - 35 = -a. Is i\/(-4) - (-1 + -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112021 (base 5) in base 7?\nAnswer: -14460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 629*w**2 - 33*w - 76. Give f(-2).\nAnswer: 2506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 458.9128t?\nAnswer: 458912.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 + -27. Suppose l = -0*o + 4*o. Suppose -o - 36 = -4*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89 is divided by 65.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*g**5\/2 - 3855*g**4\/2 + 221336*g**3 - 3156980*g**2 + 3916472*g - 1273080 = 0. Calculate g.\nAnswer: 2\/3, 15, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 49*t**2 - 5*t + 5. Let p(b) = -171*b**2 + 18*b - 18. Give 18*a(v) + 5*p(v).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*k + 11 = -3*k, -4*s = 4*k - 4. Let o be (0 + s)*(-3)\/(-6). Let q = 4\/9 - 7\/9. What is the third smallest value in -2, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11823067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3596 + -3587. Let d(z) = z**2 - 10*z + 10. Calculate d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49981*s**3*w + 1888*s**3 + 18648*s**2*w + 70*s**2 - 22*s*w - 3*w wrt s?\nAnswer: -299886*w + 11328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - i + 12 = 0. Solve -4 = -4*d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5346051.\nAnswer: 3, 23, 77479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5*t - 59. Calculate d(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a + 15. Let z be v(-11). Suppose d = 2*k - 0*k - 10, -4*d = -z*k + 16. Suppose c + k = 2*c. Calculate the smallest common multiple of c and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(30\/(-4))*(-60)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1545 is divided by 219?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/4)\/(22\/(-2)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 7*k**2 - 4*k - 7. Let j(y) = -3*y. Let z be j(-2). Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + -4)\/(-1) + 1 + -6. What is the common denominator of 1 + -2 + 262\/28 and (-1 + (-2)\/n)*1476\/216?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*j + 80 + 11*j - 80 + 40*j.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-28 - -11) + 14 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 1\/3, -15\/4, 0.043, 5 in decreasing order.\nAnswer: 6, 5, 1\/3, 0.043, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 47*s**2 + 972*s - 2906. Let d be h(3). What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m + 7. Let p be g(5). Let i be 4\/(p + 4\/1). Let x(v) = v**2 - 4*v + 4. Let f be x(i). Solve -2*s = -5*s + 4*u + 22, 26 = 5*s - f*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 84808.8 milliseconds?\nAnswer: 84808800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 6270040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -17c940 (base 13) in base 15?\nAnswer: -bc7dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**4 - 8370*i**3 + 25089*i**2 - 16722*i.\nAnswer: 3*i*(i - 2787)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aayymabxxaoaby. Give prob of picking 1 a, 1 b, and 1 x.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**6\/(((s*(s\/s**(1\/3))\/s)\/s*s)\/s))\/(((s**2\/s)\/s)\/(s**(-1\/5)*s)))\/(s**(-8)\/s*s*s**(1\/2)*s*s**(-2\/5)*((s\/s**1)\/s)\/s) assuming s is positive.\nAnswer: s**(481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 0, 12*i - 13*i = 5*v - 140. Let k be 1\/(91\/v - 3). Solve -w = k*l + 4 - 2, 0 = -2*w + 5*l + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 1. Let n be 32\/(-48) - (-1 - 2\/(-6)). Solve 3*t - 5 - w = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 - -740 - 406\/58 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 6*b**2 - 2*b + 1. Suppose 4*d + 32 = 2*l, 5*l = -3*d + 2*d + 14. Let o be s(d). Suppose -5*x + 12 = -o. Sort 1, -4, x in decreasing order.\nAnswer: x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89763*r = -89865*r - 4341 + 6535 + 5558 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((6 + 5)*-2)\/((-2)\/4). Suppose -2*n - 2*n + 40 = -v, -5*n = 5*v - 75. Calculate the greatest common factor of n and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q - 7. Let w be r(-9). Let h be 3 + (w - 192\/39). Let p = h - -7\/78. Which is the third smallest value?  (a) p  (b) 3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + p + 2. Let l be h(4). Let w = l - -46. Let x be (1 + -3)\/((-3)\/w). Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.6 - -11.9. Which is the biggest value?  (a) -2  (b) -2\/11  (c) -3  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-2*sqrt(192) - sqrt(192)) + sqrt(192) + 2)**2 + sqrt(192) - sqrt(192) - ((sqrt(192) + 3*sqrt(192))**2 + -2)).\nAnswer: 192*sqrt(3) + 6894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 930973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 230 (base 13) to base 9\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 344736900 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*8\/(-40) + (-669)\/180 + 4. Let f(m) be the first derivative of 1\/16*m**4 + 1\/20*m**5 + 32 - 1\/8*m**2 + 0*m - t*m**3. Determine h so that f(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5501609 > 5501609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -174 + 9049\/52. Is p not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17503 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2652 + 2651.6. Put -2\/9, -6, x, 452, -3\/2 in ascending order.\nAnswer: -6, -3\/2, x, -2\/9, 452","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.0411, -2, 0, -3, 46?\nAnswer: 0.0411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 655786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/3 + 3\/(-3). Does 20 divide (24\/14)\/(w\/(-420))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25450000 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 9:40 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.00378458 and 2?\nAnswer: 0.00756916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(175) - (sqrt(175) - (5 + 1*sqrt(175)))) + sqrt(175) + (sqrt(175) - 1*sqrt(175)*-3))**2*5*-6.\nAnswer: 36000*sqrt(7) + 759000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12734 + -626?\nAnswer: -13562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 34\/10 - 2\/5. Suppose -5*y - q + 6 = 0, 17 = -s*y - 4*q + 7. Let c be (0\/1)\/(12\/(-2) + 7). Solve v + c = -y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*f + 3*f + 42. Let v = 6 + f. Solve 0 = r + 5*i + 20, 0 = 4*r - 0*i + 3*i + v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-272)\/(-204))\/(76\/(-6))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.009, -0.4, -0.3 in increasing order.\nAnswer: -0.4, -0.3, -0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 228 - 232?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270) + 1*sqrt(270))*-2)\/(1*(sqrt(6) - (sqrt(6) - 2*sqrt(6)))*-3).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 311 = 109. Let v = t - 34. Is 0 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + j**2)*(0 - j**2 + 0) + 0*j**4 + j**4 - 4*j**4 + 1 - j**4 - 1 - 2*j**4 + 5*j**4 - 5*j**4 + (-j**4 - 1 + 1)*(0 + 3 - 2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6966007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8470 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (-12 - -56) - 63 - (-1 + -1 + -74)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((78\/6)\/(-39)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -11*y**2 + 3*y - 14. Let x(k) = -k**3 + 30*k + 71. Let j be x(-3). Let n be 1\/(-3) + 40\/(-15). Let a(r) = -4*r**2 + r - 5. Give j*a(l) + n*u(l).\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 - 17*y + 16.\nAnswer: (y - 16)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 93*a**2 - 184*a**2 + 87*a**2 - 8*a**3.\nAnswer: -4*a**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 968057, 1936116, 2904175, 3872234, 4840293?\nAnswer: 5808352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4627334.\nAnswer: 2, 2313667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9169337*h**3*t + 25*h*t - 263*h - 48 wrt h?\nAnswer: -55016022*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16\/23 in -21, -2, -25, 1, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0*3*(-10)\/30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -0.49.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.06. Let j = 30 + -105.5. Let w = -76 - j. What is the smallest value in -1, w, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -513*o + 0 + 153*o**2 - o**3 + 941*o + 0 - 428*o.\nAnswer: -o**3 + 153*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 165 and 2431.\nAnswer: 36465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.6759126 millilitres?\nAnswer: 0.0006759126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 55*z. Let q(x) = 21685*x**2. Give q(y(a)).\nAnswer: 65597125*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (174\/1015)\/(1\/7)*-40\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 788?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 l, and 1 r when three letters picked without replacement from klvvnkvvvreen?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*k**2 - 3 - 25*k**2 + 2 + 5.\nAnswer: 3*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17055377 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4*-79\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 divided by -5?\nAnswer: 116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p + 34*p - 3*p = 0. Suppose p = 3*c - 3*w - 24, -w + 1 = 2*c - 3. Solve 4*d - d + 3*h = 12, d - 9 = c*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**3 + 8*f**2 + 12*f + 2. Let u be a(-2). Let g(l) = l + 14. Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 5*q - 64 = 0, -j - 2*q + 2*q + 2*q = 6*q - 19 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 94.57921463 + -67.5792156. Let n = 27 - w. What is n rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*f - 4*f. Suppose 4*j + f = -g, -4*g + 7*j - 16 = 11*j. Which is the second biggest value?  (a) 2  (b) g  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.109991873 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*t**2 - t**4 + 7*t**3 - 2*t**2 - 6*t**2 + t**2 - t + t**2 - 4 in the form j*t**4 + f*t + d*t**2 + x*t**3 + b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19233?\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 1 + (-18)\/14. Let r = 2\/449 + -916\/4041. Sort r, -2, w.\nAnswer: -2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(8\/13))**(-31) assuming q is positive.\nAnswer: q**(-248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 2.6. Let k = -0.4 + t. Which is the third biggest value?  (a) k  (b) -2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*m + 154 = 295 + 543 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 6*h**2 + 3*h - 4. Let y be f(-5). What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 926265?\nAnswer: 3, 5, 61751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y. Suppose 39*v = 33*v + 414. Let p(i) = 69 - 17*i - v. Give p(u(x)).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/2))**(-2)\/((q*q*q**(2\/3)*q*q)\/q*q*q**3))**(-1) assuming q is positive.\nAnswer: q**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*l**3*t**2*w**2 + 186*l**3*w**2 - 54*l**2*t**2 + l**2*w**2 + t*w**2 wrt l?\nAnswer: 12*t**2*w**2 + 1116*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 0.2  (c) 1  (d) 2  (e) -2  (f) -40\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or -47086?\nAnswer: -47086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -81.024 >= 6.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**5\/15 - l**3 + l**2. Let t(m) = m**2 - 1. Let k be (8\/(-6))\/((-21)\/(945\/12)). Determine k*t(n) - d(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 8. Let l(f) = -f + 9. Let c be l(r). Suppose -4*d + 584 = -x + 57, -650 = -c*d + 3*x. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -0.148497.\nAnswer: 0.051503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 - u + 7. Let t(r) = -r**2 + r. Let n(c) = -p(c) - t(c). Let g(a) be the first derivative of n(a). Let s(b) = -4*b**2. What is s(g(k))?\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/403221 and 59\/195.\nAnswer: 2016105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (307 - 257 - 162 - 7 + 3 + 2 + (-3 - 3 + 5)*(2 + 1 - 4))*(-2*v**3 + 0*v**3 + 3*v**3 - 4).\nAnswer: -113*v**3 + 452","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9390 - -13385. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 62697 + 14795. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*y + 1150 = 102*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y + 8*y + 16 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 3*v**2 + 3*v + 2. Let q be t(-2). Suppose 0*s - 5*s - 10 = q. Let h(r) = r + 2. Let o be h(-2). Sort 5, s, o in ascending order.\nAnswer: s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 985*h**3 + 6332*h**3 + 15251*h**3.\nAnswer: 22568*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v - 9 = 0. Let f = v - 2. Let y = 17 + f. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-2 - (6 + (-12 - -21))) + 8 + 27\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 7*r + 12*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + 1 + (-1*sqrt(2) - sqrt(2)) - (sqrt(8) + 2)*-6).\nAnswer: 14 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 81847766 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v**3 - 4*v**2 - 3*v - 1. Suppose 16 = -3*g - g, 0 = -2*l - 4*g - 4. Let o be l\/(-4) - (-10)\/(-20). Give m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/25, 3\/5, -1\/58, -2, -1, 3, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92, 128, 164?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7151995 rounded to 3 dps?\nAnswer: -0.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 12020022 (base 3) to base 11\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 0 - (-5 - -3). Suppose 2*y - m = y, -2*x + y = -370291. Let p = 101147 - x. What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1845159 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 83\/42 + -9\/14. Which is the nearest to 1\/4?  (a) 3\/11  (b) z  (c) 0  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20784816 and 702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 14. Suppose 5*g + 130 = 3*f + 104, 0 = 5*g + 3*f + 14. Which is the nearest to z?  (a) g  (b) -3  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -5, -23 in descending order.\nAnswer: 23, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3*j - 7, 5*j - 1 = 3*y + j. Suppose -2*w - 3*w = -105. Suppose -y*v + 4 = -w. Let a(x) = x - 5. Let b(c) = -c + 4. Calculate v*b(n) + 4*a(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 896 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5235687571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 1633 = 5*u, 3*w - 3*u - u - 1225 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of x**4\/8 + x**3 - x**2. Let a = -86 - -105. Suppose -d = j + 2, j = 2*d + 8 - a. Determine k(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 10*f**3 - f**2 + f. Suppose -2*v + 2 = -6. Suppose 4 = -i - 5*r - 0, -i - v*r = 3. Determine o(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n - 1. Let x(t) = 2*t - 3. Let d(z) = -2*z - 11. Let c be d(-6). Let f be 1\/((-1 - -2)\/c). Let q = 6 - 9. Determine f*x(a) + q*j(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + -6. Let p = 22 + y. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17837 divided by -5.\nAnswer: -17837\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122001221 (base 3) to base 14.\nAnswer: -476d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u. Let a be d(2). Suppose 3*v + 14 = k - 12, -a = v. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(45)\/(sqrt(9)*1) + (sqrt(5) - sqrt(5)*1*-2) + -5).\nAnswer: -30 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zya when three letters picked without replacement from {w: 2, y: 3, a: 5, z: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 27123779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -21, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + 0)*174\/12*-197. Round j to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*(m*(m\/(m\/(m*m**(-17))))\/m*m)\/m*m)*m*m*(m**(-2\/3)\/m)\/m*m)\/(m*m**(-7)*m)**(-7\/3))**(-30) assuming m is positive.\nAnswer: m**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbwbeewwebj. What is prob of sequence bwjb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.226 - -0.074. What is the nearest to -2\/3 in -4, i, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10869949 to the power of 1\/2, to the nearest integer?\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 16*r - 3. Let k(f) = -7. Let q(c) = 9. Let g(n) = -4*k(n) - 3*q(n). What is -d(l) - 3*g(l)?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - x + 46 = -0*w, -3*w = -x - 74. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -645 + 649 - 4166*f - 4402*f. Let x be g(3). What is x rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {j: 1, a: 2, g: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -52*a + 260. Let t be w(5). Let p(z) be the first derivative of t*z - 1\/18*z**4 + 0*z**3 + 3 + 1\/9*z**2. Factor p(m).\nAnswer: -2*m*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.1033006 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/4 + (-21)\/2. Let g be ((-201)\/u)\/(6\/24). Let f = -47 + g. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 121*f - 2344. Determine b(-23).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*z = 8, 0 = 5*u - 0*z + 2*z + 13. Let g = 4 - u. Calculate the remainder when 13 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 35*p**3 + 1375*p**2 + 390*p = 0.\nAnswer: -39, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 7*f**2 + 7*f + 2. Let j(z) = z**3 - 3*z**2 - 3*z - 1. Suppose -120*b + 129*b - 27 = 0. Calculate b*x(q) + 7*j(q).\nAnswer: 4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7992\/(-10868) - (-84)\/154. Let p = 2\/247 + y. Which is the closest to 0?  (a) p  (b) -0.2  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2989841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 2*y - 5. Give l(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (-9 + -3) - 16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*y = 311*y + 954 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -190 + 1332\/7. Let n = -1 + 10. Let x be n\/3 - (4 - 2). What is the smallest value in x, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 30*q**2 - q - 5. Let c be j(5). Suppose g - c = 6*g. Let k be -1 - 2 - g\/52. Sort -2\/11, k, 0.4.\nAnswer: -2\/11, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -450*f**2 + 806*f**2 - 398*f**2.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 91827502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 87600 to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8a - 4?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44533 - 383*h - 44533)*(-h**4 + 2*h**4 - 3*h**4) + 8*h**5 - h**2 + h**2.\nAnswer: 774*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 10 = -k. Suppose 12 = k*a - 3. Let x = -12 - -13. Sort x, a, 4.\nAnswer: x, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-10)\/(-12))*(-6485)\/(-5188))\/(24\/(-1))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {b: 2, v: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (43164\/108)\/(-11) - -40.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80227.\nAnswer: 7, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 1:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1080 and 16200.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 7:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10709.\nAnswer: 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-153)\/(-85) + 2\/10. Let v be (-44)\/(-6) - 4\/(-6). Suppose 0 = -y*x + 4*x - v. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 429300 and 31800.\nAnswer: 858600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a043a - 8?\nAnswer: 2a0432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1713*q**2 - 1492*q?\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + -2*(2 + (-5)\/2). Suppose g = 2*s + 4*i - 28, 2*i + 2*i + 32 = s. Let z be (-5)\/2 - s\/(-5). What is the smallest value in 0.06, z, 4\/9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 5*z + 2. Let q be o(3). Suppose 3*k - 508 = -2*c - 0*c, 3*c + q*k - 762 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 116*u - 147*u - 80*u + 0 to m + p*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 1451202508792*f + 1451202508792*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4271, -8570, -12879, -17192, -21503, -25806, -30095?\nAnswer: -34364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -2 - (-1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (219\/4*2)\/(((-7137)\/78)\/61)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 5*h - 1491. What is the greatest common factor of 71 and h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 + (6 - 4) - (-1 + 1). Suppose 3*x - 9 = -2*d, 3*x + n*d - 9 = 5*d. Solve 4*f + x*f - 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - t - 1 = -51, z = -4*t + 29. Calculate the smallest common multiple of 4 - 4\/(-4) - -4 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*a = m + 11, 3*a + 5 = -m. Suppose 2*h = 2 + 32. Suppose -5*k + h = -28. Calculate the remainder when k is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5b (base 15) to base 12\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.4, -8, 330\/13 in decreasing order.\nAnswer: 330\/13, 1, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-45)\/(2057\/136 + -15). Is -719\/2 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3259469l in millilitres?\nAnswer: 325.9469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -200402917.98 take away 3?\nAnswer: -200402920.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110000100100 + -101100?\nAnswer: -110001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27004\/9 or -3001?\nAnswer: -27004\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -215188608, -215188604, -215188598, -215188590?\n\"Answer: l**2 + l - 215188610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 630346*m - 28026 = 629827*m for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdyd when four letters picked without replacement from uydyyqfydffyuduq.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 5*s**2 - 4*s - 4. Let z be k(4). Let l(i) = -i**3 - 4*i**2 - i + 5. Calculate the remainder when z + 2 + (-1 - -27) is divided by l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**5 + 35*r**4 + 25*r**3 - 375*r**2 + 180*r + 540 = 0.\nAnswer: -3, -1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5158291 to 4 decimal places.\nAnswer: -0.5158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212b13 (base 12) to base 2.\nAnswer: -1111111110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -5)\/7 + (-36)\/154. Put n, 3, 4 in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331012919 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1100052345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = -82*x + 84*x + 16, 3*x - 18 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*x - 48*x - 24 = 0. Solve -x*k - 2*k - 22 = -3*a, -3*a + 12 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -203?\nAnswer: -3\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 479*s + 32 + 432*s - 910*s.\nAnswer: s + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5966 in 0.1, -4, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84*(0 + -1)\/(-12)*(8 + 0) is divided by 5\/(10\/36) + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.6782164 months to years.\nAnswer: 0.2231847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + 4*a**2 - 5. Let l be n(4). Let j(m) = -2*m - 8. Let d be j(l). Let h be 2 + 72\/(6 - d). Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j. Let r(t) = -6*t - 2. Let o(u) = 5*k(u) - r(u). Let w be o(0). Determine q, given that 0*q - 1\/4*q**3 + 0 + 1\/4*q**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k - 10. Let n(r) = -r**2 - 2*r - 4. Let g = -13 - -10. Let c be n(g). List the prime factors of q(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 2. Let i be x(4). Suppose -6*t - 720*t**i - 2 + 717*t**2 + 11 = 0. Calculate t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4072338 weeks to seconds.\nAnswer: 246295.00224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**5\/5 - 12*h**4\/5 + 16*h**2\/5 = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(539) - ((sqrt(539)*1)**2 + sqrt(539)) - (4 + sqrt(99)).\nAnswer: -543 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*b - 508 = 0, -144*w + b = 147*w - 286*w - 76 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6772968.4 rounded to the nearest 1000?\nAnswer: -6773000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.198 - -0.002. Let m be (-2)\/9 + -3 + (-2580)\/54. What is the third smallest value in z, m, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4*z = 7, -3*c = 2*z - 6 + 1. Suppose f = -2*p + 4, -6*f + c*f = -5*p - 1. Solve -2*s = -4*w - 1 - p, 0 = 3*s - 3*w - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -151.756 times -0.0141?\nAnswer: 2.1397596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -194 - -56. Let b = x - -128. Is b at most as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -1580*s + 9483. Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -40*i**3 - 5*i**2 + 4. Let t(s) = -39*s**3 - 4*s**2 + 5. Let o(r) = 4*h(r) - 5*t(r). Find the first derivative of o(v) wrt v.\nAnswer: 105*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(18)\/(sqrt(36)\/(sqrt(6)*3)) - (sqrt(3) + (sqrt(3) - (sqrt(30) - 3*sqrt(30))\/sqrt(10)) + 3)).\nAnswer: -12 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + (-3 - -3) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 579843 and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 53.3 - 59.56. Let o = -14 + 5.8. Let f = o - d. What is f rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = 3*c - 4*c - 4*o, -c + 5*o + 414 = 0. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 35*v**2 + 2*v. Let m(f) = 219296*f. Give m(h(z)).\nAnswer: 7675360*z**2 + 438592*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 6*u**3 + 1324*u**2 + 5070*u + 10. Let r(z) = -2*z**3 - 440*z**2 - 1689*z - 3. Let a(o) = -20*r(o) - 6*w(o). Factor a(k).\nAnswer: 4*k*(k + 4)*(k + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 8. Let q = -52 + 60. Suppose -5*s = -t - 14, 3*s - q - 2 = -t. Is j >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 101 = -2*t - j, 4*t + j = -99. Let w = -53 - t. Let y be 8\/w + 228\/14. Calculate the greatest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000167595 rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 4*d - 92, -2*d - 5 = -3*q + 75. Calculate the remainder when (-8)\/q + (-624)\/(-28) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*-4*12\/(1008\/(-6))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 59.\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i**3 - 15*i**3 - 4*i**3)*(-2*i + 4*i - 4*i).\nAnswer: 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-15)*(-9)\/(18\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 2394019?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-4)*(-2)\/(-6)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)*2)\/sqrt(2))\/(sqrt(30)\/(sqrt(30)\/sqrt(3)) + sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**7\/35 - u**6\/6 + 3*u**5\/10 + u**4\/3 + 2*u**2 - 12. Factor t(v).\nAnswer: -2*v*(v - 1)*(v + 4)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 8 - 8. Let g be 2\/(-9) + 112\/18. Let o be 18*(g\/9 - a). Solve -2*c = -3*t - o, 8 = -4*t + 2*t + 2*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 3 = -4*f + 10*q, -4*f + 2*q + 2 = 0. What is the second derivative of 30*c + 79*c - 25*c - 79*c**3 - 44*c**f wrt c?\nAnswer: -738*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 4*t + 5*k + 85, -t + k - 27 = 0. Let d be 1*5 - (t - -24). Solve 0 = -2*m - 4, -d*c - 4*m = c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1))**(-2\/35)*(k*k\/(k\/(k\/k**(-1)))*k)**(-48) assuming k is positive.\nAnswer: k**(-6724\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -562 in descending order.\nAnswer: 5, 2, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -21615476 divided by 10807738\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10226979*i*t**2 - 139*i*t - 1052*t wrt t?\nAnswer: 20453958*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43992 by 3666.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 8496.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/7 + (-9 - 47032\/(-56)). What is the greatest common factor of 15 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from bbjmcjdc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 0\/(-1)*-1. Solve -t = 2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 283*-2\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/3 + 7*k**2 - 6*k - 40\/3.\nAnswer: -(k - 20)*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51159 is divided by 533?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 9 = 4*f. Suppose -3*c - 13 = -z, 0*z - 5*c + 67 = f*z. Suppose -5*l - 5 = s, 0*l - 3*s + z = -2*l. Let j(g) = -g**3 + g**2 + 2*g - 1. What is j(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2497, -10228, -23125, -41182, -64393, -92752, -126253, -164890?\n\"Answer: i**3 - 2589*i**2 + 29*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -29. Let b be i\/2*(-12 + 2). Suppose -y = -4, 6*d - 5*y = d + b. What is the highest common factor of d and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 1)*(0*c - c + 0*c) + 4*c - 9*c + 7*c + c - 5 + 5 + (-6 + 2 + 3)*(2 - 2 + 2*c) + (8 + 4 + 9)*(0 + 0 + 2)*(3*c + 0*c - 2*c).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + 55 - ((55 - 15) + -20).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*a*d*u**3*z - 72*a*d*u**2 + a*u**3*z - 12754*d**2*u**3 - d**2*u**2*z + 7*d*u + 466*z wrt u?\nAnswer: 30*a*d*z + 6*a*z - 76524*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 1702*c + 17086. Determine z(-10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7765 and 29507.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, 3, 4.1, -0.1 in decreasing order.\nAnswer: 64, 4.1, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**5 + 3*u - 8 + 8 + (-7*u**2 + 5*u**2 - 10*u**2)*(-u**2 - 3*u**3 + u**2).\nAnswer: 40*u**5 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8287716 to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 3 + 4 - 4 + 1 + 1 + (-4 - 3 + 4)*(-4 + 2 - 4))*(f + 0*f + 0*f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 40 = 0, 0 = u + 4*y - 159 + 123 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 28*f + 5. Let r be u(10). Suppose 0 = 4*k - 2*w - 228, -5*k + w + 3*w + r = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 952 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3*(2\/16 - 3\/144*-118666)?\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*w - 3*w + 523 - 5*w.\nAnswer: -w + 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 11  (b) -0.1  (c) -2\/11  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.18 - -5.18. Sort g, 6, 0.\nAnswer: 0, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -320*k**2*l + 200*k*l - k wrt k.\nAnswer: -640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 520 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**4 + 14*n**4 + 17*n**4 + (-2 - 3 + 1)*(-4*n**3 + 6*n**4 + 4*n**3).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3388 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 2\/5, 258\/5, 0.31, 0.2 in decreasing order.\nAnswer: 258\/5, 2\/5, 0.31, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**4 + 0*t - t**2 + 0*t**4 + 4*t**3 + 1 + 0*t as c*t + g*t**2 + w*t**4 + y + j*t**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -431*f + 217*f - 35 = -221*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 3.5. Let l = -2.1 + t. Let u = -1.400228 + l. Round u to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-10)*(-9400)\/8460\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33109081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2900, 6, 3, 1\/5 in descending order.\nAnswer: 2900, 6, 3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1900)\/(-190)*2*(-3)\/12*2*5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 205 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11101110101 (base 2) to base 16.\nAnswer: -775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330161.\nAnswer: 13, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, k: 3, y: 1, v: 3}. What is prob of picking 1 k and 3 l?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-3)*-5)\/(583\/(-1749)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-178*u - 9*u - 89*u)*(-16*u + 33 - 33) - 2*u**2 + 0*u**2 + 4*u**2.\nAnswer: 4418*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -71 + 161. Let v = c - 88. Calculate the remainder when 15 is divided by 15*(30\/25)\/v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 + 23. Solve k*v + 2 = 2*x + 6, -3*v = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-6) - (-26)\/(-6). Let l(j) = -4*j - 39. Calculate the least common multiple of l(-15) and v\/(-10) - (-528)\/80.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 2*r - 8. Calculate m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*r*v**3 - 31*r*v**2 + 3*r*v + 4*r - 18*v**4 - 2*v**3 + 4*v**2 wrt v?\nAnswer: -36*r - 432*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-276)\/(-644))\/((-12)\/28). Let v = 23125282\/14026715 - -21\/52931. Let d = v + 8\/53. What is the closest to t in d, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v - 23. Let b be y(-9). Suppose 5*s - b*t = 45, -4*s = s + 4*t - 85. What is the second derivative of -11*m + 30*m**5 + s*m + 17*m wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 8*j**2 - 6*j + 10. Let k be s(-7). Let v = -1 + k. Solve -2*g + g + 1 = 0, 0 = -v*c + g - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(350) - 2*sqrt(350)))\/((sqrt(7) + 3*sqrt(7))*-3*-3).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 6. Let z = 0.91 + -1.01. Suppose 29*h + 15 = 34*h. Which is the nearest to z?  (a) l  (b) h  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1275 is divided by 1266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 3*p - 182, p - 6*j + 7*j = 59. Let w = p + -57. Solve 0 = 8*s - 3*s - w*m, m = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9971341841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 + 4.98. Let k(y) be the third derivative of y**6\/120 + 3*y**5\/20 + 7*y**4\/24 - 3*y**3\/2 + 3*y**2. Let w be k(-8). Which is bigger: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x\/(x\/x**7)))*x)\/(x\/(x**6\/x*x))*(x**(-1\/4)\/x)\/x**19)**(1\/35) assuming x is positive.\nAnswer: x**(-29\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1977, 2521, 3067, 3615, 4165?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x**3 - 279*x**2 - 761*x - 6. Let d(i) = -6*i**3 + 277*i**2 + 761*i + 9. Let z(a) = -2*d(a) - 3*n(a). Find the second derivative of z(b) wrt b.\nAnswer: -18*b + 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*i + 560 = -32*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {c: 2, r: 6, f: 1, a: 3, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 2:01 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 40 = 4*u, -2*u + 4*l = 9*l - 35. Let z = 0 - -40. Let s = -34 + z. Solve -s*n = -n - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6734.5 - -6739. What is the smallest value in 0.1, 5, 3\/5, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35772347.1 to the nearest 1000.\nAnswer: 35772000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7a - 2?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from kkkkekekekkkkkkk?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.047 + -0.453. Which is the closest to -0.1?  (a) 3\/8  (b) 2\/17  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -1416?\nAnswer: -1\/1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -3, 835, 0.4 in decreasing order.\nAnswer: 835, 0.4, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/8?  (a) -3  (b) 576.23  (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8325.81164 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403*h = 404*h + j - 19744, 5*h = j + 98702. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-28)\/12)\/((3 + -5)\/6). Let j(x) = x**3 - 4*x**2 - 3*x - 29. What is the lowest common multiple of 10 and j(t)?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5737922207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3476.619nm in kilometers?\nAnswer: 0.000000003476619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03880781721 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 6*z**2 + 2*z + 30. Let r be q(7). List the prime factors of (-542)\/r + (-12)\/30.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -56 + 64 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: List the prime factors of 35849.\nAnswer: 11, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49239.2*1.\nAnswer: -49239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**3 - 87*h**2 - 666*h + 59. What is the ten thousands digit of d(55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {u: 1, h: 2, l: 10, y: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -708 divided by 24526.\nAnswer: -354\/12263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -x - 38859, -1760*x + 1765*x = -5*h + 97155. Is 54 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*o - 41*o - 384. Is (1\/(-2))\/(o\/(-353216)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1054 divided by -2.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 236 in -7, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 70*t - 164. Determine y(-16).\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 28*o**5 - 104*o**4 - 396*o**3 + 8*o**2 + 368*o + 96 = 0. What is o?\nAnswer: -2, -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -5*u**2 + 5*u - 2. Let w(i) be the third derivative of -i**5\/10 + i**4\/4 - i**3\/2 - 171*i**2. Give 4*w(h) - 5*z(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 536 - -366?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/152467, 5\/6, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 767503, 767506, 767511, 767518, 767527, 767538?\nAnswer: 767551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(1 - 3\/2). Let u be 1 + (9\/(-3))\/(-3). Suppose j*k = 5*v - 70, -u*k - 6 - 16 = -v. Solve -3*z + v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -112.7 - -113. Which is the nearest to -3\/4?  (a) -0.2  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 4*t**2 + 6*t - 2. Let y be h(5). Let j(k) = 2*k - 4. Let f be j(y). What is the second derivative of 5*r**5 - f*r**2 + 2*r**2 - 2*r wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -5  (c) 3  (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0203382 to four dps.\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.8 - 1.2. Let u = -107.9 - -109.9. Let t(w) = -w**3 + 2*w**2 + w + 4. Let r be t(3). Which is the closest to u?  (a) r  (b) x  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 3:24 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 253688, 2029519, 6849640, 16236197, 31711336?\nAnswer: 54797203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 6 = -2*j. Solve 2*k = j*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-27)\/15)\/(-3) + (-68)\/(-20). Solve -n + 24 = l*g, -2*g + n + 6 = -0*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*x*x**(-1\/4))\/x)\/(x*((x**(2\/9)\/x)\/x*x)\/x*x*x)*(x*x\/x**(-1\/9)*x)\/x**(-5))**(5\/7))**(-18) assuming x is positive.\nAnswer: x**(-1375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 7*r**2 - 8*r - 4. Let b(x) = -5*x + 157. Let o be b(32). Let f(j) = j + 11. Let c be f(o). Calculate y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 653 times -0.0928\nAnswer: -60.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.277 and 4.\nAnswer: 5.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*z**3 - 9*z**3 - 11*z**3)*(2 + z - 2)*(-4 - 2*z + 4).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 53*n - 34. Determine f(4).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3024 and 1962.\nAnswer: 329616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -7*z**5\/20 + z**4\/4 - z**3\/2 - z - 133. Let o(p) = -7*p**3 + 2*p**2 - 2*p. Give -2*l(m) + 3*o(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -233, -446, 117, 2206, 6571, 13962, 25129?\nAnswer: 40822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -430 divided by -5.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6656669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**8*v*v\/((v\/v**(1\/4))\/v)*v*(v*v\/(v\/v**(-2)))**(-20) assuming v is positive.\nAnswer: v**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1350, 1348, 1346, 1344?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-2)*(-32)\/(-6). Suppose 72 = a*g - 12*g. Let b(z) = -4*z**2 + 5*z - 9. Let h(o) = 2*o - 13*o**2 + 2 + 14*o**2 - 3*o. Give g*h(f) - 4*b(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 + 10\/2 + 25. Suppose n - r = 5*h, 0 = 2*n + 4*h - 43 + 15. What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p**5 + p**4 + 48179*p**3 - 20754*p**2 + 6*p - 2.\nAnswer: 120*p**2 + 24*p + 289074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -100*g**4 + 293968*g**3 - 1080720*g**2 + 798464*g + 375808 = 0. Calculate g.\nAnswer: -8\/25, 2, 2936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1370, -1369, -1368, -1367, -1366, -1365?\n\"Answer: s - 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from okkukkuokkkokkuu. What is prob of sequence ko?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-2\/3))**(23\/2)*(j*j**5)\/j**1)\/((j\/(j*j\/j**(1\/2)))**12)**(-1\/52) assuming j is positive.\nAnswer: j**(938\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m - 3*m + 3*m)*(11*m**2 - 18*m + 18*m) - 4*m**3 + 6*m - 6*m + 0*m - 24*m**3 + 2*m + 26*m**3 to u*m + k + o*m**3 + f*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97854, 195698, 293540, 391380?\nAnswer: 489218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o. Let t(y) = 39*y + 3. Give c(t(g)).\nAnswer: -39*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 8*f + 4. Let w be b(-6). Let j = w - -47. Differentiate 7*c**3 - 20*c**3 + 18 + 5*c**j with respect to c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88614 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -119 divided by -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 3*b + 10, k + 4*b + 16 = 20. Let j(o) = 5*o**3 - o**2 + 7*o + 13. Let p be j(k). Round p to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5580, 22488, 50668, 90120, 140844, 202840, 276108?\n\"Answer: 5636*x**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-2))\/(-12)*-6. Let r be 20\/(-149350)*5\/1. Let m = -62743\/23896 - r. Is u equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.41069586 and 14692.\nAnswer: 14691.58930414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sussffufsusvf. What is prob of picking 1 v and 3 f?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256943826 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 8:50 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*n - 0. Let j be (n - -10) + 1*3. What is the tens digit of (-1 - 0)\/(j\/(-130))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 552 is divided by 104?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*w + 165*w = -19235. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*3 - 486\/144. Let n = 621.6 - 568. Let u = 54 - n. What is the closest to 6 in y, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/7814 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.2  (b) 2.92  (c) -1\/8  (d) 144  (e) 3  (f) -4\/3  (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1458) + -1 + sqrt(1458) + 0 + -3)*5)**2.\nAnswer: -13500*sqrt(2) + 146425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 26*q**2 - 163*q + 79. Determine d(17).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 5*v**2 + 3. Let y = -2 - 3. Calculate the remainder when 8 is divided by u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37837075799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -28730405 > -28730404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -4*n**2 + 256*n + 8900 = 0.\nAnswer: -25, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**3 + 4*d**2 - 16*d - 6. Give b(4).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3059, -2994, -2921, -2840, -2751, -2654?\n\"Answer: 4*p**2 + 53*p - 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from miimmimmimd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -115937.\nAnswer: 6\/115937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 + -1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (117*z**3 + 2*z + 586*z**2 - z**4 - 585*z**2 - 252*z**3 - 3)*(2 + 0 + 0) in the form d*z**2 + o*z + k*z**3 + s + n*z**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 9. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 9*l**2 + 15*l + 12. Let i(u) = u**3 - 6*u**2 + 6*u - 12. Let h be i(5). Let w be x(h). Solve 2*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45002*q**3 + 12732?\nAnswer: 135006*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6337, -25362, -57071, -101464, -158541, -228302?\n\"Answer: -6342*r**2 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7597570811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85102?\nAnswer: 2, 17, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9220 and 200.\nAnswer: 92200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 39796662 and 21.\nAnswer: 278576634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 2*g - 990 + 1000, -3*q = -4*g - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 5:05 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 10:19 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 3*w**2 - w**2)*(2*w - 3*w + 2*w) + w**3 + w**3 + w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -14b - 4b?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, d: 1, e: 1, z: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 3*d**3 + 18*d**2 - 11*d - 4. Let q(w) = 5*w**3 + 37*w**2 - 22*w - 9. Let h(x) = 6*q(x) - 13*r(x). Let h(n) = 0. Calculate n.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 0 + -4)*764\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 + -1)*(0 + -1). Suppose -5*o = 28 - 8. Let x = o - -8. Calculate the highest common factor of g and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1736\/(-42)*1980\/880.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of s**6\/8 + 37*s**4\/24 + 58*s**3\/3 + 39. Let m(x) be the third derivative of l(x). Differentiate m(o) with respect to o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 11*z**2 - 29*z + 16. Does 3 divide m(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13d3 (base 14) in base 11?\nAnswer: -2708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -q, 21*k = 20*k + q + 325. Suppose -5*o - 36*o - k = 0. Let m(f) = 29*f**3 + 8*f**2. Let p(h) = -10*h**3 - 3*h**2. What is o*p(g) - 3*m(g)?\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-1)\/v)*v)**(1\/4))**(2\/81)\/(v**(2\/13)\/((v**(-2\/15)*v*v)\/v))**(-3) assuming v is positive.\nAnswer: v**(-11129\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 6346\/5, -0.5, 26\/3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*s + 236 = -304. What is the highest common divisor of s and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 460 a factor of 658969785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10578\/1217 greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 + 153\/7. Let w = z + 31\/21. Let t = 4 + -3. What is the closest to w in 0, t, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**3 + 107*s**2 + 14142*s + 316. Calculate c(115).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 3 - 2)*(-3*m - 3*m - 3*m)*(-1 + 1 + 2*m)*(-m - m + 0*m).\nAnswer: 252*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 6*a - 23. Suppose -81 + 387 = 18*o. Solve -t - 2*z = a*z - o, 0 = 4*t - 3*z + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/29)\/k**(-9))\/(k\/(k*k**(-2\/31)\/k)*k*k**(-12)\/k) assuming k is positive.\nAnswer: k**(17984\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36397 + -36402. Let p be -3 + 5\/(-2) + 0. Sort p, 5, u, 2\/3 in descending order.\nAnswer: 5, 2\/3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18\/13 + 183\/104. Sort 1, -0.05, 0.4, f.\nAnswer: -0.05, f, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38349 and 30471.\nAnswer: 389510793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/4 and -5\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 105301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -813  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*c - 10*c**2 + 6*c**2 - 473*c + 16.\nAnswer: -4*c**2 - 537*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/(-5))\/(12\/(-160)). Calculate the lowest common multiple of 8 and z*(1 + (-3)\/2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2878 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.121 + -0.851. Let f = o + -0.27. What is the third smallest value in -5, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + m**2 - 1. Let r(k) = 4*k**3 + 6*k - 3. What is r(f) - 3*x(f)?\nAnswer: f**3 - 3*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/1*(-1194)\/(-995))\/((-42)\/(-100)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4 + sqrt(7) + -2)**2*3 + sqrt(70)\/(sqrt(10)*-1*-2) + 0.\nAnswer: 25*sqrt(7)\/2 + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 38 = -g - 11, x + 2*g - 9 = 0. Let d be x*-54 + 1 + 1. Let u = 2397\/5 + d. Calculate the common denominator of u and -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44132 - 7161?\nAnswer: 35861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -9*o. Let m be l(-2). Suppose -5*d - 4*c + 6 = -m, 4*d = c + 15. Solve -d*r + 5*p = -9, -r + 2*p = -3*p - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2865 and 411207.\nAnswer: 392702685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xgxh when four letters picked without replacement from {g: 1, h: 1, d: 1, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 - (5 + (-16 - -8) - -42).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1454\/517 - -3\/517. Let p = 95647\/21864 + 1\/2733. What is the common denominator of p and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**5 + 78432*j**4 + 36*j**3 - 705872*j**2 - 313776*j + 941184 = 0 for j.\nAnswer: -2, 1, 3, 19608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-99 - -1) + (54 + 40 - 108 - (-1 - 12)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-117))\/((-6)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 52 - 28)*(0 + 0 + 2)*((4*o + 4*o - 5*o)*(-1 - 1 + 1) - 2*o - 4*o + 2*o).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*n + 4*n + 4*n + (-1 + 1 + 2*n)*(-5 + 0 + 4))*(1 - 1 + n) to the form p + m*n**2 + g*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**4 - 95*w**3 + 1527*w**2 + 95*w - 1526 = 0. What is w?\nAnswer: -109, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (356*w + 5 - 2 - 361*w)*(-7*w**2 - w**2 - w**2) in the form k + x*w**2 + a*w + v*w**3 and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 4 + 16. Suppose 5*q + g = 0, -y - 29 = -6*y + 4*q. Suppose 4*s - y*s = -24. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12126\/6695 - 15\/1339. Factor 3\/5*z**2 - x*z + 6\/5.\nAnswer: 3*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 15, -5, -47, -117, -221, -365?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 30*w. Let f(a) = a. Let g(z) = 25*f(z) - q(z). Let r(s) = 2*s. Let m(k) = 4*g(k) + 11*r(k). Calculate m(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 41310 and 4590?\nAnswer: 41310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 1 = -4*z, 1 = -6*q + 5*q - z. Suppose 0*f - q*f = -42. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87429.28 millennia to decades.\nAnswer: 8742928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1443, 2875, 4307, 5739, 7171?\nAnswer: 8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*n, -42*c + n + 13 = -40*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*t + 530 + 322 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12390 = -546*r - 218*r + 1059*r for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 995226*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(-2*p + p + 2*p + (9 - 47 - 100)*(3*p + p - 2*p)).\nAnswer: -275*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 311503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4119681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-3964 - 24*v + 3964)*(17 - 9*v - 4 - 11).\nAnswer: 216*v**2 - 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1829732*n**2 + 3*n**5 + 1829732*n**2 - 955*n + (-3 + 2*n + 3)*(-2*n**4 + 2*n**3 - 2*n**3) + 3*n**3 - n**5 - 3*n**3.\nAnswer: -2*n**5 - 955*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126*j - 129*j - 122163 + 122163.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 37562402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 90786517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -388000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 879 + -879.4. What is the nearest to -2\/3 in f, 4, 0.3, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -273*i**2 - 276*i**2 + 536*i**2 + 7*i**3 to the form b*i**2 + v*i + h + n*i**3 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2065673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 14  (c) 0.1  (d) 72691\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 - (0 - 2) - (695 - 692)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.562 + -0.51. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 3*h + 2*h)*(-2 - 2 - 2).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 23*w**2 + 9*w - 9. Let f(k) = 165*k**2 + 66*k - 66. Let m(p) = 3*f(p) - 22*g(p). Let h(y) = -178*y**2. Determine h(m(b)).\nAnswer: -21538*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.2766 and -8.34855?\nAnswer: 7.07195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 3*x**2. Let r be p(3). Let n be 99\/(-30) + (r - -3). Let i = -7 + 6. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -14*l**3 - 8*l**2 - 14*l + 8. Let h(c) = -9*c**3 - 5*c**2 - 9*c + 5. Let j be 1064\/665 - 66\/10. What is j*m(v) + 8*h(v)?\nAnswer: -2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(12\/3)*-1. Suppose j*d = d. Suppose d*f = 4*f. Solve 12 = -3*c - 2*c + 3*p, -p + 4 = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83659 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -364973 + 915084. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 28543 and 0.4.\nAnswer: 11417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -3*v + 4*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 8622370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 11, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -1. Find the third derivative of -3*o**2 - 4*o**3 + o**l + 2*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)*-2*-5)\/sqrt(9))**2 - sqrt(76)\/(-4*sqrt(12)\/sqrt(3)).\nAnswer: sqrt(19)\/4 + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 3, -1, 28114\/9, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/6  (b) -3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 370*u - 350*u - 500. Solve -u*n + 22*n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 917554521 to the power of 1\/2, to the nearest integer?\nAnswer: 30291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571385 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(576))\/sqrt(2).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2483 = -2283. What is the greatest common factor of 255 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-3745475\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 9*t + 37. Let g(u) = u - 22. Let f be g(22). Calculate the remainder when v(f) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u + 8. Let a be r(-4). Let n(x) = -x**2 + 12 + 7 - 2*x - a*x. Calculate the remainder when n(-16) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 1016850?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(sqrt(18)\/sqrt(3)) + sqrt(28) + sqrt(28))\/sqrt(4) + (sqrt(567) - 3*(sqrt(567) + sqrt(567)*-1)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -374*d = -444*d + 1050 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjppyymppmpjj. What is prob of sequence mypm?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by (-23)\/2*(-5)\/(5\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 s, 1 a, and 1 c when four letters picked without replacement from {t: 1, d: 2, b: 1, s: 3, a: 2, c: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((40\/(-32))\/(35\/42))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-860)\/25)\/((-18095)\/175 + 103).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r + 2. Let g(h) be the second derivative of -h**3\/6 - h**2 + h. Let b = 529 - 526. What is b*g(d) + 2*a(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 215*p**3 - 18*p**2 - 12491 wrt p.\nAnswer: 645*p**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffknnnnknkfnkfknk. What is prob of picking 2 n and 2 f?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -63619131, -63619129, -63619127?\n\"Answer: 2*z - 63619133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -0.08, -90041, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 9:05 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7.69 in 4, 0.2, -0.3, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*d - 28*d + 50*d**3 - 37*d.\nAnswer: 50*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v - 13. Let g(w) = 8*w - 54. Determine -2*g(y) + 9*l(y).\nAnswer: 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -6.4\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**5 + 9707*f**4 + 10191*f**3 - 4692227*f**2 + 31668754*f + 82032600 = 0. What is f?\nAnswer: -25, -2, 13, 9708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = -2*g - t - 77, -6 = -2*g + 4*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/8, 0.1, -290, 3 in descending order.\nAnswer: 3, 0.5, 0.1, -1\/8, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 285 = -3*s. Let b be (-4)\/(-14) - s\/(-21). Let r be 0 - 0*2\/4. Solve 5*m - 12 - b = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, -0.18, -2, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**2 + 5*k + 2. What are the prime factors of t(-7)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 516131 (base 7) to base 5\nAnswer: 10313230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -4. Let a(g) = -g + 8. Let w be a(6). Suppose -u - w = 0, -12 = -o*y - 3*u + 22. What is the greatest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1036613 (base 11) to base 2.\nAnswer: -110111101010111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 523294045?\nAnswer: 5, 23, 4550383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25 + 29. Suppose 5*x = x + f*g + 492, -3*x = g - 357. Let d = 276 - x. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (-10 - ((-55 - -2) + 20))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/223 - -226\/669. What is the closest to u in -25, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 45782 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of 23*h**7\/6 + h**4\/12 + 2*h**3\/3 - 11*h**2\/2 + 563*h. Find the second derivative of j(r) wrt r.\nAnswer: 3220*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20300, 40598, 60896, 81194?\nAnswer: 101492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1339 - 1269. Solve -4*a + l = -18*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 0*g**2 + 3*g**3 - g - g**2 - 1 + 0*g**2. Let c be n(-1). Let k = -9 - -6. Sort k, -2, c.\nAnswer: c, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (26973\/1458)\/(((-42)\/(-2))\/(-3)*(-8)\/56)?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3212*n - 25174 = -3826*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1665*b + 210 = 1675*b. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {q: 3, j: 2, w: 10}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 6*h**3 + 28*h**2 + 16*h = 0.\nAnswer: -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2 - 4*h = 0. What is h?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6502, -13032, -19562?\nAnswer: -26092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/5 - 1489476*f\/5 + 1489474\/5.\nAnswer: 2*(f - 744737)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/7 - 4638*n**2\/7 + 27882*n\/7 - 41850\/7.\nAnswer: -2*(n - 3)**2*(n + 2325)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zgglghzhlwzbghghbhh. Give prob of picking 2 z and 2 h.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 57*a + 562 + 293 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -54, -173, -292, -411, -530, -649?\n\"Answer: -119*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-14\/5)\/g)**28)**11 assuming g is positive.\nAnswer: g**(-4312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 3, 0.5, 140, -159\/5, -5 in descending order.\nAnswer: 140, 3, 0.5, -2\/3, -5, -159\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, -0.1, 0.2, 1\/2 in ascending order.\nAnswer: -0.1, 0.2, 1\/2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110 (base 7) to base 15.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -225. Calculate the greatest common factor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) -3\/2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + -5 - (-11 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.1. Let v = -0.8 - 0.1. Let w = 1.3 + v. Is w equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*2*((sqrt(98) - (sqrt(98)*-5 + sqrt(98) + 5)) + sqrt(98)*4 + -4).\nAnswer: -18 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -33841 divided by -43\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y - 13. Suppose 3 + 3 = -2*u. Let b be r(u). What are the prime factors of (218*(-7)\/70)\/(2\/b)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -3*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -0*f - 3*z + 1, 15 = -5*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11773.9994297 + -11774. What is i rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0*t)**38\/(t**(-1\/3))**(-17))\/((t**0*t)\/t**(-2\/5)*(t\/t**5)\/t**4) assuming t is positive.\nAnswer: t**(584\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(130)*-3 - sqrt(130))*2*4)\/(sqrt(1440) - (-1*sqrt(1440)*-5 + sqrt(1440)))*4)**2.\nAnswer: 13312\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2. Let m be ((-150)\/4)\/((63\/28)\/(-3)). Let r be -33*(m\/(-15) + 3). Let l(w) = -r*w - 4*w + 14*w + 3*w**2. Give v(l(x)).\nAnswer: 18*x**4 - 12*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -5*m**3 - 4118*m**2 + 1660*m + 9912. Give s(-824).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 9*b**2 - 16*b + 14. Let v be 18\/(-30) - 1*76\/(-10). Let s be k(v). Solve s = 5*y + 5*y + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 35*p**2. Let a be 5\/(-4) - 58142\/(-56). Let u(n) = a - 1037 - 2*n**2. Calculate h(u(g)).\nAnswer: 140*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1850450.\nAnswer: 2, 5, 7, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 4*r = -14, -4*r = 332*q - 330*q - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16083, -32177, -48271, -64365, -80459, -96553?\n\"Answer: -16094*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o - 39. Suppose 0 = 52*f - 55*f + 24. Let b be v(f). Which is smaller: -2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-92)\/207*3\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.3 + 6. Let q be ((-6)\/4)\/((-15)\/30). Which is the closest to -3\/4?  (a) r  (b) q  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-574))\/(5*(-50)\/(-875))*2?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 18963, 151406, 510855, 1210800, 2364731, 4086138, 6488511, 9685340?\n\"Answer: 18915*x**3 + 13*x**2 - x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2755*z**2 - 136*z + 585108?\nAnswer: 5510*z - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of 0 + 2\/3*y**3 - 1\/3*y**4 + 5*y - 1\/20*y**5 + 7\/2*y**2. What are the prime factors of h(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 1. Let x(p) = 9245092*p + 1 - 3 - 9245079*p. Calculate 6*l(j) + 2*x(j).\nAnswer: 26*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -39.0000013. Round s to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -245, -923, -2267, -4499, -7841?\nAnswer: -12515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 9, -2\/7, -1\/7, -5, 13938?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = -2*u. Let d be -4 + 1*(-3)\/u. Let k = 15 + d. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 158644130 divided by 1.\nAnswer: 158644130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16\/14*35\/10*1. Solve -1 = -r*v + 2*v + 3*m, -m = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 10*y**2 + 17*y + 14. Let m(n) = -n**2 + 5*n + 7. Let x be m(4). Is r(x) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 136 = -349. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*s, 5*w - 2*s = 120938 - 11344. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51032711 - 4*d - d + 51032709.\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(6\/7)*j\/j**8)\/(j\/(j*(j*j\/(j\/(j*j**(-6\/7))))\/j)*j**(3\/5)) assuming j is positive.\nAnswer: j**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 3. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -251, -178, 1, 4 in decreasing order.\nAnswer: 4, 1, -178, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 29*z**2 + 170*z - 171. Give p(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -2  (b) 268380  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = 27*a + 27. Solve 5*i = a*v + 5 + 15, 2*i = v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-46)\/15 - 0 - 25296\/(-10540))*207\/6\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 11*w + 49. Let z be q(-13). Suppose 0 = -h + z - 70. Solve -h*g + 4 = -3*t, 2*t - 7*g + 2*g = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, g: 2, c: 8}. What is prob of sequence jjg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 379\/2 + -17427\/92. Calculate the common denominator of l and 11\/34.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-14) - (74\/14 - 5). List the prime factors of p + (7 - 4) - (-417)\/3.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2 = 3*p, 8 = -3*p + 4*p - 3*q. Suppose -p = -5*o + 3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 154363339 from 1494720.\nAnswer: -152868619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/28)\/(1\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-33))\/(1120\/(-3360))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/7974 and 41\/12?\nAnswer: 15948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 13) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/4)\/((-925)\/130 + 7). Let y(g) = -g**2 + 17*g - 18. Let a be y(n). What is the greatest common factor of 136 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 254.393 millennia?\nAnswer: 2543.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1147990*c**4*t**2 - 5*c**3*t**3 + 2222409*c**2*t**2 + t**3 wrt c?\nAnswer: 27551760*c*t**2 - 30*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 94*o - 33*o + 16836. Is 0.4 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4388951141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/4 - 1\/2. Suppose 3*u - 4*p - 330000 = v, -u = 4*u + p - 550000. Round u to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l\/(l**(-20)\/l))**(3\/16))**(-11))**(-2\/11) assuming l is positive.\nAnswer: l**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100101 - -10220102?\nAnswer: 11020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 532 - 527. Solve -35 + 11 = -2*f + u*q, -4 = q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/12 and -59\/416?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**4 - 15*x**3 + 38*x**2 - 24*x = 0.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*l + 520 = -114*l. Calculate the smallest common multiple of 13 and -5 + 0 + l\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = c + 5, -2*l + 5*c + 17 = 0. Let f be 24*(-8)\/(-6) + -2. Let n = f + l. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y**(-2\/5)\/y*y)*y)**(-10)*(y\/(y\/y**(-2\/7)))**(5\/6) assuming y is positive.\nAnswer: y**(-719\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 41. Suppose z*a - 48*a = -6757. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 0.13472?\nAnswer: 0.43472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + -1 + (26 - (8 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 1)*(-1 + 5 - 1)*(-4*l**5 - l**5 + 4*l**5).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -m**7\/840 - m**6\/90 + m**5\/20 + 7*m**4\/24 - 2*m**3\/3 + 4. Let d(b) be the third derivative of l(b). Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47092 + 73426. Is z a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -949.5 - -153.5. Let w = 811.18 + f. Let h = 15 - w. What is h rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 + u - 2. Let f be l(1). Suppose -2*t + 3*q = t - 162, -4*q = 4*t - 240. Suppose t = 4*m - f*x, -x - 4*x = 15. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = b - 2 - 5, b = 3*i + 15. Let g be 113 + b - 12\/(-3). What is the greatest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -479, -705?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, u: 2, o: 2, k: 1, w: 1, e: 1}. Give prob of sequence nokw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59*h**2*m - 2*h**2 - 7*h + 3523*m + 1 wrt h.\nAnswer: -118*h*m - 4*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 657 divided by -1\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 5*g**4 - 110030*g**3 - 330135*g**2 - 20*g + 440180 = 0.\nAnswer: -2, 1, 22009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**4\/21 + 640*a**3\/21 - 5566*a**2\/3 + 551060*a\/21 - 106400 = 0. What is a?\nAnswer: 8, 10, 57, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/7 - -2\/7. Put z, 2\/3, 1\/17, 5 in increasing order.\nAnswer: z, 1\/17, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -3\/2  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.068 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 228  (c) 3  (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (59338\/132)\/((-13812)\/54). Let h = -1\/13812 + q. Let i = h + 12\/11. Which is the third biggest value?  (a) i  (b) 1\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104260 and 1900740.\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/9)*b**(-14)\/b)**(-8\/19) assuming b is positive.\nAnswer: b**(1088\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 189 * -1.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1*3616521\nAnswer: -3616521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3388 = 3388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + 13*n**2 + n - 15. Let o be r(13). Let u be (-39)\/(-12) + o\/8. Solve 0*g + 3*g - z - 1 = 0, -23 = -4*g - u*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 7:10 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*d + 4 = -82*d + 22*d - 1508 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 217?  (a) -3  (b) 3  (c) 25.7  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4 - -0.5. Let o = 0.5 - 0.5. Let d be (-2)\/6 + (-26)\/(-42). Which is the nearest to i?  (a) o  (b) -0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 5  (b) -0.1  (c) -1684  (d) -0.06  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7 + ((4\/5)\/(90\/(-225)) - 6). Let o(f) = -2*f**2 - 12*f - 6. Let z(q) = q**2 + q + 1. Calculate w*o(b) - 6*z(b).\nAnswer: -4*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 2  (c) -2  (d) 24169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r + r + 2*r. Suppose -35 = 5*f + v - 0*v, v = 4*f + 28. Let p(g) = -g**3 - 6*g**2 + 6*g - 5. Let d be p(f). Determine o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -3. Suppose 0 = -0*z + z. Let c(s) = s**2 + 4*s**3 - 1 + z*s**3 - 3*s**3. Let x(w) = w**3 + 1. Give d*x(h) + c(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 28, -4*c + 2682 - 418 = 4*i. What is the remainder when i is divided by 110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 times -0.3\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 54*h**3 - 40*h**3 + h**2 - 2*h - 18*h**3 in the form b + d*h + x*h**2 + i*h**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/4, 5, -59?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 + 2.05. Let x = -73 + -57. Let p = -114 - x. Which is the smallest value?  (a) 0  (b) p  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(1053) - (sqrt(1053) + -1 + 0)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 200 and 1399164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/11 - 82*a**2\/11 + 438*a\/11 - 630\/11.\nAnswer: 2*(a - 35)*(a - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {n: 9, m: 3, s: 3, c: 2, t: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + 16.99998208. What is x rounded to seven dps?\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = a + 5 - 3, 3*u = -a + 4. Let d be ((-12)\/4)\/(a\/((-10)\/(-3))). Solve d*t + 10 = -o, -3*t - 4*o + 0*o = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71757795 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 356\/5  (b) 0  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tutt when four letters picked without replacement from tuutttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49059 and 11613.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 28*z + 2. Let t(c) = 27*c + 2. Let a(o) = -3*q(o) + 4*t(o). What is the remainder when 51 is divided by a(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138 and 2048334?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2682919, -5365839, -8048759?\nAnswer: -10731679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (2\/8)\/(25\/(-900))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16649, 33306, 49965, 66626, 83289, 99954, 116621?\nAnswer: 133290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75372953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 5, 10.5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.92 + -0.08. Let k = 22212\/7 + -88855\/28. Put x, k, 18, -2 in decreasing order.\nAnswer: 18, k, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 11*r + 21. Let u be t(6). Let q = u - 123. What is the units digit of (q\/24)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 5*j**2 - 5*j + 1. Let n be i(-4). Let c = 8 - n. What is the third derivative of -5*h + c*h - 4*h**5 - 2*h**2 + 2*h wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 44793211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(567) + sqrt(567)*1 - sqrt(63)) + sqrt(63))\/((sqrt(45)*2)\/sqrt(5)) + sqrt(28)\/(sqrt(24)\/sqrt(6)) + -4*(1 + sqrt(7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -80.19 - -82.89. What is the nearest to -2 in 2, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/4*y**3 - 1\/2*y - 3\/4*y**2 + 0 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 786715073 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4*p - 18 = 0, 2*a + 3*p = 3*a - 13. Let u(w) = 2*w**2 + 2*w + 3. Let m(j) = -j**3 + j**2 + j. Determine a*u(q) - 2*m(q).\nAnswer: 2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2 + 1\/2*u**2 = 0. Calculate u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -3*l + 35. What is the first derivative of -488*o + 9 - l + 495*o wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.06122 and -745.358.\nAnswer: -745.29678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 - -25 - -41 - ((1 - -4) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*v - 6469 = 2929, 4*v + 4696 = 2*p. Let q = -883 + p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 10*k = 106. Calculate the remainder when k is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -5*a - 1\/3*a**3 + 0*a**4 - 1\/7*a**7 + 0 + 0*a**5 + 0*a**2 + 0*a**6. What is the second derivative of p(n) wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 7*x**2 - 5*x + 8. Let o be w(-6). Let n(k) = k**o + 2*k - 4 + 4. What is the remainder when n(4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 * -14\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4196 = -5*o + 431. Let y = o - -851. Suppose -w - 111 = -4*c, 5*c - 2*w + 46 = 184. Calculate the highest common factor of c and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 4:06 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - m = -57, -35*m = v - 32*m + 5. What is the greatest common divisor of 1856 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -301\/5, 7\/183, 0.4, -3 in descending order.\nAnswer: 0.4, 7\/183, -3, -301\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1779 and -0.265.\nAnswer: 471.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + 1)*3)**2 - sqrt(187)\/((-1*sqrt(44))\/sqrt(4)).\nAnswer: 55*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11265)\/(-157710))\/(5\/6)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1394241 divided by -2.\nAnswer: -1394241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -528 by -3.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 16 = 4. Sort z, -5, 8 in descending order.\nAnswer: 8, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 - 4 = 0. Find the third derivative of -x**d - 18*x**4 - 15*x**4 - 10*x**4 + 14*x**4 wrt x.\nAnswer: -696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5275 + 5285. What is the least common multiple of 5985 and i?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**4*s)**(-16) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 16376 = 95584. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 11*r - 36. Is (-3378)\/r*40\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 473810801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -3*h**4\/32 - 9*h**3\/8 - 21*h**2\/8 + 9*h + 1346. What is w in r(w) = 0?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**32)**(-8\/5)\/(t\/t**(-3))**(-32) assuming t is positive.\nAnswer: t**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 193757 in -44, -1\/3, 0.2, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+-1121147666740\nAnswer: -1121147666739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 33561, 65195, 96829, 128463?\n\"Answer: 31634*g + 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*c + 1872 = -200*c - 1142 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10000033212 - -2?\nAnswer: -10000033210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-39)\/(2 + -5))\/(-1). Let l be (-119)\/(-13) - (-2)\/b. Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107107755 + 107107755 + 2*f + 11*f**3.\nAnswer: 11*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-14)*z\/z**(-1\/10))**(-3\/47))**24 assuming z is positive.\nAnswer: z**(4644\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 280085  (b) 2\/7  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2361b + 38?\nAnswer: 23655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12510 by 40.\nAnswer: 1251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2962541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -307714\/53 + 5806. What is the smallest value in -0.9, p, 5\/4, 1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 10 = 201*u - 203*u, 3*v - 12 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 21*r**2 - 24*r + 774. List the prime factors of u(21).\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 37*a - 147. Let l be u(4). Let q(d) = -d - 3. Let v be q(-8). Solve -4*j - l = -j - v*o, 0 = 3*j - 3*o + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3025 - 6065 + 3238)*(-4 + 4 + 5*u)*(u + 2*u - 2*u).\nAnswer: 990*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**2. Let v(g) be the first derivative of -175*g**3\/3 - 2*g + 951. What is v(s(o))?\nAnswer: -700*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233167620 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -5*j**3 + j**2 + j. Let k be y(-1). Suppose 0*z + k*z = 515. Suppose 0 = 5*d - 4*c - 166, 2*d + d + c - z = 0. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, l: 6, o: 3, p: 1, f: 4}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**2 - r**2 + 3*r**2)*(14*r**2 - 3*r**2 + 0*r**2) + 2 - 3*r**4 + 2*r**4 + 2*r**4 to the form s*r**2 + m*r**3 + l*r + g*r**4 + i and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-5 - (16 + -36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8.2 - -4.8. Let x = y - -2.96. Let s = -0.24 - x. What is the second biggest value in s, 3, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ressrssjw. Give prob of picking 1 j and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 54307*r. Let d(y) = 2*y**2. Give d(w(m)).\nAnswer: 5898500498*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 9*v - 17. Let z be m(-7). Calculate the smallest common multiple of 30 and 2 + ((-3 - z) + -1)*-25.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226*g - 592 = 222*g. Calculate the remainder when g is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27969 divided by -1?\nAnswer: -27969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6669706 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r + 9. Let f = 24 + -17. Let k(i) be the second derivative of 13\/2*i**2 + 0 + 2\/3*i**3 + 2*i. Give f*c(h) - 5*k(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*x + 4*x + 2*x)*(683 - 648 + 4257) as r*x + k and give r.\nAnswer: 4292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (34 - 33 - (1 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7*m**2 + 50*m - 116. Let w be l(2). Let c = -13 - -25. Suppose -k + c = 5*y, -23 = 5*k + 5*y - 83. Calculate the highest common divisor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-2)\/(-15))*(-14)\/42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -81 - -128. Let i(a) = a**2 + 12*a - 23. Let w be i(-14). Calculate the remainder when d is divided by w*(4 + (1 - 0)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14721 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + 67. Let i = -69.14 + y. Round i to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 658 and 58374?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 187790284909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4 + 5676*u - 25936*u.\nAnswer: -20260*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9153 or -11?\nAnswer: -9153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1980 and 74745?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 22, -4, 140, -2, 4 in decreasing order.\nAnswer: 140, 22, 4, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 4. Let a be h(-4). What is the units digit of (5 - 3) + a\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -427 - 726?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -1218750*d**2 - 6*d + 24. Let n be r(4). Round n to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124034 (base 6) in base 5?\nAnswer: 330004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.079 or -879.81?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -160060 * 269.\nAnswer: -43056140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 5*v = -33. Let y = 19 - v. Is (9 - y)\/((-2)\/(-1174)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 10*r - 6. Let o be p(9). What is the derivative of -4 + 1 - o - 3*u wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*o + y, 5*o = 7*y - 9*y + 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -10*h + 39. Let s be z(4). Which is the closest to -1\/2?  (a) -1\/4  (b) 15  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 1:31 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -54*i**3 + 2*i**2 + 2*i - 1. Is 14 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29622139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + i + 2619. Suppose -2*a - 5*f - 233 = -i, -3*a = -2*f - 979. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2354.469 days in nanoseconds?\nAnswer: 203426121600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 194890 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 4, 20, -24, 1, -11 in decreasing order.\nAnswer: 20, 4, 1, -2, -3, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a. Let f(c) = 4*c. Let s(x) = f(x) + 2*r(x). Let d = 0 - -2. Let q(v) = -v**3. Let p(n) = d*s(n) - 6*q(n). Find the second derivative of p(o) wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133.8 + -134. Sort 18, -2\/19, x.\nAnswer: x, -2\/19, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -1  (b) 2\/117  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87, 86, 71, 36, -25, -118, -249?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 224*q - 2666. Let x be s(12). Solve 0 + 0 = x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmgf when four letters picked without replacement from ftrmfmgnrftnft?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 312549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -960727, -960798, -960869, -960940, -961011?\n\"Answer: -71*c - 960656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 6 - 16 = 0. Suppose a + 10 = 2*a - 5*n, a - n = r. Let j be 10\/4*60\/75. Solve -5*x = -p - a, -x = -p - 0*p - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + 3*s + 121. Calculate the remainder when 530 is divided by y(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -54.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 4 = -10. Let w be (-105)\/(-6) - c\/6. Calculate the highest common factor of 153 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 882 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 2*k = -6, -47 = 3*l - 2*k - 53 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/3*3\/(-8)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3068252 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*t = 0. Suppose -2*r = 3*v + 15 - 40, t = -5*v + 2*r + 15. Let w be 2 - v - -11*1. Solve -n - w = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*x = 27, 5*c + 3*x = 7*x + 47. Let j = 95 - c. Calculate the greatest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -83, -140, -213, -308, -431, -588?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*o - o - 4, -2*o + 4*n = 10. Is -4 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 7015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/13, 4, -0.4, -30, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-8)*(112 - (-7586624)\/(-67728)).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1000104 (base 5) to base 2\nAnswer: -11110100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 18375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1048 plus 0.0671?\nAnswer: -1047.9329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1845, -8141, -18919, -34185, -53945, -78205, -106971, -140249?\n\"Answer: -i**3 - 2235*i**2 + 416*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.7617768 - 6.\nAnswer: -8.7617768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 77*k - 626. Calculate l(-78).\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8905268km in meters?\nAnswer: 890.5268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w. Let b(q) = q + 2. Let h(r) = b(r) - c(r). Let d be h(4). Solve -2*t = -2 + d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*c - 12507078 + 12517226 = 0 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/8  (b) -5  (c) -0.34491  (d) 0.248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/2741?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -11\/24*b**4 - 41*b**2 + 0*b + 0 - 31\/6*b**3. What is the lowest common multiple of 27 and d(-5)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*w + 53*w - 18*w - 11*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 9. Let g be 1957\/57 + h\/(-6). Let t = 11 - 11. Solve 2*p - 2*l = t, g - 9 = 3*p + 5*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 2*u**2 + 746 + 684 + 703 + 2*u.\nAnswer: 2*u**2 + 2*u + 2170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.9 + 0.1. Put k, 0.4, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -22*x. Let u(f) = -13*f**2 + 4*f + 46. Let q(l) = 3*l**2 - l + 13. Let c(b) = 4*q(b) + u(b). Calculate v(c(g)).\nAnswer: 22*g**2 - 2156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 4*v + 3, 3*q - v + 3 = -2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**3 + 11*j**2 + 4*j + 4. Let s be v(-5). Suppose 0 = -2*a + 5 + 11. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89898*c - 89892*c = -168 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131571 is divided by 32887?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -77098*l**3 - 9004*l**2 - 2*l - 2 wrt l?\nAnswer: -462588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m + 1554 = 220*m. Let l(p) = -7*p**2 + 11*p + 4. Let i(s) = -20*s**2 + 32*s + 12. Determine m*i(r) - 17*l(r).\nAnswer: -r**2 + 5*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**0)**(1\/12)*g**(2\/29)*g**(-17) assuming g is positive.\nAnswer: g**(-5863\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 172b4453 - 0?\nAnswer: 172b4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -1) + (-5 - -11) + 3 - -20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from rirrrrqrrqriirqi.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 315*j**3\/2 - 951*j**2\/4 - 621*j\/4 + 3\/2 = 0.\nAnswer: -1\/2, 1\/105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 42 = 13. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*n - 18*n - 47*n - 224 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5465 - 27328\/5. Let r = -137\/805 + 9\/35. Sort 3, r, 5, a in descending order.\nAnswer: 5, 3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*c + 32, 0 = -2*c - 4*z + 7 + 3. Calculate the remainder when (-800)\/(-48) - 2\/3 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4720\/(-368) - ((-21)\/63*42 + 1)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22244 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.4, 388, -5, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 14035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-15)\/(-25) + (-6)\/60)*84. Solve u*c = 85 + 83 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -91*m + 161. Determine a(5).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 18 = -3*d. Let 0*r**2 + 0*r + 0*r**d - 2\/9*r**4 + 0 = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/4)\/(10\/4)*(-12960)\/(-324)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2276832 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 33 + 68 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -v + 5. Suppose 0 = -4*f + v*l + 84, 4*f = -3*l + 4*l + 84. Suppose 3*b - f = 2*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/11116 and -4\/8337?\nAnswer: 33348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-4)*(-1 + 21). Suppose 5*m - 4*n - 28 = 3*m, -m - 4*n = b. Suppose f + 0*f = m. What is the least common multiple of f and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, i: 3, s: 1, j: 7}. Give prob of sequence issh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1108 and 428363326?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 62 + 210. Calculate the greatest common divisor of i and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 170, 227, 256, 251, 206?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.687 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -47*c**2\/4 - 21*c + 5 = 0. What is c?\nAnswer: -2, 10\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/8 and -43\/269.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of r**5\/60 - r**3 + r**2. Let j(w) = 1. Let f(y) = 4*j(y) + v(y). Is f(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8740579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 48516\/15 + (-9)\/90*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17.995 - -0.138\nAnswer: -17.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2531917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 3:53 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 12\/(-1)*990\/(-24).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 144, 158, 176?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27775416?\nAnswer: 2, 3, 17, 19, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13095678?\nAnswer: 2, 3, 17, 128389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -14083 at most -13976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34013 (base 9) to base 4.\nAnswer: -11201103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 11 = -5*w + z, -5*z = -2*w + 26. Suppose -6*h + w + 9 = 0. Let x be (-5 - 130\/(-20))*4. Solve 7*f - x*f = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185282302?\nAnswer: 2, 59, 1570189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**6\/24 - h**5\/12 + 5*h**4\/12 + h**2\/2 - 2*h. Let x(a) be the first derivative of j(a). Solve x(b) = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3309.\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 2*z**2 + 3*z. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + -1240644566230.\nAnswer: -1240644566231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/7, 79, 3\/8, 0, 0.02, 4, 2\/3 in decreasing order.\nAnswer: 79, 4, 12\/7, 2\/3, 3\/8, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 253 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c**2. Let q(d) = -d**2 + 43. What is f(q(x))?\nAnswer: 4*x**4 - 344*x**2 + 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9960715 and 604?\nAnswer: 39842860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1433*v + 694*v + 738*v + 3*v**2.\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 683 = 2*h - 481. What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/10*((-405)\/(-12))\/(-9)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 5:34 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, d: 1, s: 5}. What is prob of picking 3 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j + 4*j = x, -2*x = -5*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v + 86. What is l(-5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 487606 and 33698?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 75 = -f + 2*x, 4*f + 5*x - 225 = 0. Suppose -2*t - 5*b = -28, -b = 3*t + 2*b - f. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510 + 317 = -36*l + 419 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -44, -100, -168, -248, -340, -444?\n\"Answer: -6*c**2 - 38*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166515959, -333031920, -499547881?\nAnswer: -666063842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 3*m - 22*m**2 - 2*m.\nAnswer: -22*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 633247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.1302 months in decades?\nAnswer: 0.476085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 0*y = -7*c + c - 3*c + 65, 0 = -39*c - 2*y + 185 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/47290 and -61\/9458.\nAnswer: 47290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (750\/100)\/(3\/214). Let r = z - 515. Solve 0 = 4*d + 36 - r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**2 + 193*n - 854*n - 517*n.\nAnswer: -5*n**2 - 1178*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**2 + 3*d**2 - 2*d**2 + (-d**2 - 2*d**2 + 2*d**2)*(5 + 1 - 4) + 2 - 2 + d**2 - 2*d**2 - 2*d**2 + 3*d**2 - d**2 + 0*d**2 + 3*d**2 - 4.\nAnswer: -2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 10) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmkmkmmm. Give prob of picking 4 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -18. Suppose -g = -0*g - 5. Suppose 0 = -g*m + t + 135, 5*m = 3*t - 0*t + 125. Calculate the greatest common divisor of m and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -2*b - 5*y, 0 = -2*y + 5*y - 15. Let q(d) be the second derivative of -d + 1\/6*d**4 + 0*d**3 + 0 + 1\/2*d**b. Differentiate q(n) with respect to n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-2)*o)**49\/(o\/(o**(1\/3)*o))**(-44) assuming o is positive.\nAnswer: o**(544\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -23895 divided by 6?\nAnswer: -7965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7178579693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35.14 - -30.14. Which is the closest to 1?  (a) -2\/9  (b) 4  (c) -45  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**4\/2 - 255*z**3 - 14850*z**2 - 364500*z - 3240000.\nAnswer: -3*(z + 30)**3*(z + 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 - 20*l + 4464.\nAnswer: -4*(l - 31)*(l + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**5\/17 - 2188*j**4\/17 - 1051976*j**3\/17 + 2127940*j**2\/17 + 7403046*j\/17 + 4225320\/17 = 0?\nAnswer: -363, -1, 4, 1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51739775 is divided by 98.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1605 - -6349\/4. Calculate the common denominator of m and ((-2)\/20)\/((-24)\/2310).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -2*w**4\/3 + 10*w**2. Let x(m) = -7*m. What is t(x(v))?\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 5813*c + 4138866. What is h(-712)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6591 and 12168.\nAnswer: 158184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 37*w**4\/18 + 32*w**3\/9 + 324*w - 12. Factor d(v).\nAnswer: 2*v*(37*v + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183647 + 71479 = -8*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 w when four letters picked without replacement from llwdlwmvtwvmwl?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 151816028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h + 14*h = 18*h + 15. Are 1\/1934 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - ((-1 - -3) + -3). Let o(v) = -v + 3*v + 0*v. Let p(l) = 2*l. Give d*p(k) - 5*o(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -7*(-43044)\/10 - (-80)\/(-100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 93, -3, -1 in increasing order.\nAnswer: -3, -1, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*y + 14, -5*y = -0*d + 3*d. Suppose -4*a = -q + 28, -a + 0 = y. Let r = 2 - -3. What is the remainder when q is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and 193623.\nAnswer: 193623.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.41501l in millilitres?\nAnswer: 98415.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 14*r**3\/13 + 79636*r**2\/13 + 113259456*r\/13 + 32353344\/13 = 0?\nAnswer: -2844, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.156 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4076.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llee when four letters picked without replacement from laeaeaauauaeaal?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**2 + 11*r - 14. Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 533 and 11011.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -694553 + 694553 - 12*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -1.91, -393, 3\/7, -0.4 in decreasing order.\nAnswer: 9, 3\/7, -0.4, -1.91, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2180 - -2251 - (46 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50 - -258. Suppose 0 = -2*j + m + 70. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 1\/3  (c) -3\/4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3383968 centimeters in micrometers?\nAnswer: 3383.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4384253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 408, 1006, 1844?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 6:33 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 258568 (base 13) to base 3.\nAnswer: 1200220220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 725626.4 rounded to the nearest 100?\nAnswer: 725600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 + 38. Let h = 4003 - 2788. Suppose h = 35*r - 45. What is the remainder when i is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 293, -7.\nAnswer: -7, 5, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/7  (b) 0.3  (c) -2169\/2  (d) 1\/4  (e) 6.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 240?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -3998*r. Let p(n) = -3*n. Give p(h(i)).\nAnswer: 11994*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 19*j + 8*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3768.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 10:12 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 944, 939, 930, 917, 900?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 times -20\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 30*u**2 + 7*u. Let r be (3\/(-8))\/(9\/(-72)). Does 43 divide a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - ((-12 - 6) + -1)) + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**3 - 1204681*g - 3221248.\nAnswer: 6*g**2 - 1204681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*o + 21*o + 18*o - 22*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - 78\/(-4))*-2. Let h be (-3)\/(-21) + (-345)\/s. Solve -5*k + 3*x - 14 = x, 4*x - h = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 880791180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31 - 24 - (-6 + 11)) + -4 - -80?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 481, 2640, -5\/4, 4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7193134 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 5*o**5\/4 + 56629*o**4\/4 + 138640*o**3 + 215012*o**2 + 90528*o = 0.\nAnswer: -11316, -8, -1, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 71879, 71882, 71885, 71888?\n\"Answer: 3*t + 71876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*m + 158 = -40*m + 5*h, -256*h = 3*m - 253*h - 30 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/8 + 190\/4. Suppose 4*r - 17 - d = 0. Suppose -5*x + x - 28 = -l, 5*x = -3*l + r. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 plus -126.2?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/2 and 4\/(-1)*(-510)\/288.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8409*k*q - 1028*q with respect to k.\nAnswer: -8409*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1500 and 1920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 155686, 2\/17.\nAnswer: 0.1, 2\/17, 155686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -77.152072 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 237967 divided by 4.\nAnswer: 237967\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 6:38 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*1 - (-96)\/(0 - 24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 348 + 108 = 0. Let f = 2.3 + -0.3. Is f smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = l - 2*u + 3, -148 = -5*l + 4*u. Calculate the greatest common factor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-116)\/78 + -103*(-740)\/495430\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 355 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 764*q - 2914 = -814 + 192 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 132*y**2 - 133*y - 158*y - 130*y**2 in the form g*y**2 + h + l*y and give l.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, x: 1, e: 3, r: 2, c: 1}. What is prob of picking 2 r and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -14144600 rounded to the nearest one hundred thousand?\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -476 - -476.0000321. What is y rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -87*y**2 - 782*y + 10. Let w be n(-9). Let j = -5\/48 - 11\/240. Is j smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x**2 + 0*x**2 - 3*x**2)*(74 - 140 - 28) as v*x + b*x**2 + g and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*t - 236 = 0, 171 = 4*h - t - 138. Suppose -3*x - 233 = -3*i - h, 4*x - 5*i = -206. Let d = -93 + x. Round d to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -11*k + 8. Suppose 15*s = 35*s. Let d be h(s). Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 4*x - 6. Let q be b(-4). Let y be (-4)\/q + 7\/3. Let s(p) = p**3 - 4*p**2 + 3*p. Determine s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 6*r + 18*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -99 + 213 - 3*d - 109. Suppose -u - 18 = 2*u. Is a(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*z - 141, -4*y = -3*z - 97 + 278. Let k be -2 + 4 + 2 + 486\/9. Let m = k + y. What is the greatest common factor of m and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 16*v + 6. Let m(k) = -3*k - 1. Suppose 4*u - 7 = 9. Calculate u*n(y) + 22*m(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 9:39 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17\/55 + 1\/11. Suppose 4*j - 2*j + 8 = 0. Which is the third smallest value?  (a) 2\/7  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3420.05mg?\nAnswer: 3420050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(3) + 6*sqrt(48))**2 + (sqrt(15) + sqrt(45)\/sqrt(3))\/sqrt(5)).\nAnswer: 8*sqrt(3) + 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**2\/7 - 63165064*y + 3491097146358584 = 0.\nAnswer: 110538862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 13 - 1 = 3*z, -4 = -4*z + 2*o. Let m = -93 + 104. Let u(x) = m*x - 30*x - 8*x. Let f(t) = -2*t. Give z*u(q) - 30*f(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 - x + 1\/2*x**2 + 1\/4*x**3 = 0 for x.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 0. Let q(k) = k + 3. Let x be q(w). Solve -4*z = -x - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*m - 3*k, 0*m + 2*k - 16 = -2*m. Suppose u + m*u = 4*u. Suppose -5*p + y + 686 = -0*y, u = 4*y + 4. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-20)\/8 - -2)*-8. Suppose -3024 = o - v*o. Suppose -697 = -11*t + o. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37947 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 0*u + 2187 = 0. Suppose 2*o + 7*o - u = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 766*w**3 + 1296*w**3 + 7103*w**3.\nAnswer: 9165*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-490)\/(-108)*(-12)\/(-6) - 9)*9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3149, -3524, -4149, -5018, -6125, -7464, -9029?\nAnswer: -10814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -8 + -256 + 257.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b (base 14) in base 8?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5000519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4508*a + 4675*a - 165*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1103273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61\/(6405\/(-168))*(-9 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17 - 10 - 11 - 19 + 16)*(-25*i**2 + 13*i**2 - 34*i**2) as m*i + p + y*i**2 and give y.\nAnswer: 1886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*b - 83*b - 400 = -193*b. Solve -v = 4*v + 5*l - b, -2*l = -5*v + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - 393\nAnswer: -392.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hcmchccccchccycyhcy. What is prob of sequence cmh?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1\/5)*s**3)\/((s*s**3)\/s**(-1\/5)))**28)**40 assuming s is positive.\nAnswer: s**(-1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 j when four letters picked without replacement from ejjjjjjjjejeeejj.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d**3 + 3*d**3 + d**3)*(4 - 4 - 1) + (-6 + 3 + 4)*(2 - 2 - 3*d**3).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -1 - (-7 - (-31 - -4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 9:59 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/12)\/(4\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 110874?\nAnswer: 1108740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g\/(g\/g**(-7)))\/g)\/g)\/g*g\/(g*g*g**(-2\/15)))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 10*t. Let g be u(8). Let l = -40 + g. Let o be -2 + -3*(0 + -6). Calculate the highest common divisor of o and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 742437, 742369, 742287, 742185, 742057, 741897?\nAnswer: 741699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -14, 0.14 in descending order.\nAnswer: 0.14, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.4 - 2.4. Let o be (-12)\/(-70)*(161\/(-21) + 11). What is the nearest to k in -0.06, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 + 43*s + 20. Give t(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 9:30 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 - 3. Let v(l) = l**2 + 3. Let n(j) = 7*a(j) + 6*v(j). Let h(r) be the first derivative of n(r). Let p(x) = x**2 - 9*x. What is 9*h(k) - 2*p(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 50\/(-40)*-6*2\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -81*a - 259. Calculate the remainder when 263 is divided by i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 289*t + 5321. What is the ten thousands digit of h(59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 15*a - 20.\nAnswer: 5*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2593525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 21*y - 30*y + 50*y**3 - 102*y**3 - 13*y**2 + 7 + 51*y**3. Determine w(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j - 5*p - 100 = 0, -9*j + j + 2*j - 3*p = -10*j + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y - 5. Let a be u(-12). Let r = a + -7. Let d(g) = r*g**3 - g - g**2 + g**3 + 2*g. Give d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/(sqrt(252)*2))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 230\/7 + -33. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*c**4*n**3 - 1575*c**3 + c**2*n - 4*c + 456*n**3 + 80*n**2 wrt c?\nAnswer: 96*c*n**3 - 9450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3866, 3903, 3966, 4061, 4194, 4371?\n\"Answer: g**3 + 7*g**2 + 9*g + 3849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 2*z - y + 81, y + 15 = z. Suppose -4*v + 2*g + 83 = -g, 0 = 5*v - 5*g - 105. What is the lowest common multiple of v and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 + 3*v. Let n be w(-7). Suppose -u - 6*u = -n. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.5 - 30.5. Let h = 36 + z. Let l = -307\/28 - -45\/4. Which is the closest to l?  (a) 0.3  (b) h  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 1)*(-3 + 5 - 4) + 2 + 0 - 4 - 1 - 3 + 5)*(4 - 4 - 2*z)*(-3 - 2 + 3).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-7) + 12 + 39\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 - 82 = -27*r. Solve v = -r*f + 21, 3 = -v + f - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) 332  (b) -0.4  (c) -1304  (d) 2  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 + 4 = 21*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 495584693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9931651.\nAnswer: 37, 181, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/2 + 12\/(-24). Suppose -12 = -0*y - 2*y. Suppose g + j = y. Solve g*c + 17 = -4*z, c + 7 = -2*z - 0*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -523?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -35181 + 11?\nAnswer: -35170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -343647 (base 11) to base 5.\nAnswer: -114441422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((24\/6)\/(2 + 2)). Which is the nearest to u?  (a) 3  (b) 4  (c) -3\/2  (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -205*n**2 + 7*n + 6. Let r be p(-1). Let u = -30 - r. Calculate the highest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/28*4\/(-312)*-21. Let y = 3.42 - -0.58. Let u = 0.05 - -1.95. Which is the closest to -1?  (a) f  (b) y  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 92370678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1073\/4*o**2 + 1\/4*o**3 + 0*o + 0.\nAnswer: o**2*(o - 1073)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2209582247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 240431, 240422, 240413?\n\"Answer: -9*o + 240440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + o - 7, -g + 3*g + 6 = 3*o. Suppose s - j - 2*j = 2, 0 = -g*j. Find n, given that -s*n + 4*n - 30*n**3 - 12*n + 25*n**2 + 5*n = 0.\nAnswer: 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 503768 divided by 942.\nAnswer: 251884\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4446 - 2.4986641.\nAnswer: -4448.4986641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 242310 + -443211?\nAnswer: -200401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (63\/(-7) - -9)\/(-6). Suppose z = 5*v + 2*y - 704, 4*v + 6*y = 2*y + 568. What is the highest common factor of v and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkp when three letters picked without replacement from pppvdkpgpppkpppdvvd?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21920579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 - 0) + (0 - 1). Let n = -3 + 0. Let m = 3 - n. Solve m = g + r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1804 or -0.06?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 2*q + 2. Let h(n) = -22*n**2 - 20*n. Let d(a) = -h(a) - 10*r(a). Let l(t) = 1. Give -d(y) - 20*l(y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5\/((-125)\/(-19905))*(0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 2*u. Let f(r) be the second derivative of u*r**2 + 1\/30*r**6 - 1\/42*r**7 + 0*r**5 - r + 0*r**3 + 0*r**4 + 0. Factor f(v).\nAnswer: -v**4*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*t + 2*t - 25, -12 = 4*k. Suppose 4*a = t*r + 44, 5*r + 24 = -4*a + 68. What is the remainder when 20 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38708 divided by 6?\nAnswer: -19354\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38366 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -492, -4, -1, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/23  (b) 0.05  (c) -5  (d) -0.3  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121011 - -4130?\nAnswer: 125141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 + 11.8. Put 7, 0.3, g in decreasing order.\nAnswer: 7, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2336*n**3 + 2320*n**3 - 4658*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 11*r**2 + 1597*r - 13479. What is g(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24539.\nAnswer: 53, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16125983 is divided by 17284.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -37914 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -1543?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g. Let v(c) = -28*c + 21. Let k(j) = v(j) + 5*y(j). Find the first derivative of k(x) wrt x.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*j = 38*j + 5. Let t(w) = -6 - 6*w**2 - 10*w + 4*w - 12*w**3 + 0 + 9*w**3. Let u(g) = -2*g**3 - 5*g**2 - 5*g - 5. Calculate j*t(o) - 6*u(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 2*t**2 - 636016*t + 2544065. Determine m(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**3 - 3*j**2 + j + 1. Calculate l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.8096 to 2 decimal places.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 62529 = 5*b + 6223, -85940 = -5*x + 2*b. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*l - 134*l + 318 = 902 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -100122 (base 7) in base 14?\nAnswer: -6212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 5*b - 532. Calculate the remainder when b is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -683 by -3.\nAnswer: 683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 9410 (base 10) to base 11\nAnswer: 7085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/136  (b) 2  (c) 1\/81  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 5*i - 45 + 38, -4*u = -2*i - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3\/(-2))\/(3\/1))\/((-2519)\/297242).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6111, 7894, 9677?\n\"Answer: 1783*w + 4328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-3 - -1) + 2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (23 + (17 - 36) + 8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 250769.52 microseconds to days.\nAnswer: 0.000002902425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20147 rounded to the nearest 100?\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 554, 561, 572, 587, 606?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 3:49 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56955768 and 165908.\nAnswer: 4484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, -127 in ascending order.\nAnswer: -127, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 181617399529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.609684 to 2 decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(231)*-2 - sqrt(231))\/(sqrt(14)\/(1*sqrt(2))))\/((sqrt(66)*-2)\/sqrt(6) + (sqrt(88)*-1)\/sqrt(8)).\nAnswer: 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340*u + 30 = 346*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f - 10 + 2*f + 5*f + 0*f + 0*f + f + f + f - f + 3*f - f - 4*f - 1 + 1 - f - f + 4*f - f + (2 + 3 - 4)*(-5*f + 2*f + 4*f) + 0 + 0 - f - 2*f + 5*f - f.\nAnswer: 7*f - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-122)\/(-14) + (-245)\/((-1260)\/(-36))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(210\/(-14))*-20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + (-8052)\/(-16) - (-15)\/(-60). Solve -490 + k = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 5*f, 2*f - 9*x + 6*x = 5. Let p = -33 + -17. Let a = p + 701\/14. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-44901)\/24 - 2\/1. Let t = b - -1878. What is the common denominator of -2*((-16)\/5 + 0) and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42747 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1262*g**3*q**3*y**3 + g**2*q**2*y**3 + 11*g*q**3*y**3 + 6*y**3 wrt g.\nAnswer: 7572*q**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 134361.6 - -31189553.\nAnswer: 31323914.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20353 + 52247. List the prime factors of b.\nAnswer: 2, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-4*(sqrt(65)\/sqrt(5) + 3 + 2 - (sqrt(1573) + (sqrt(1573) + -1)*-6))**2.\nAnswer: -2240*sqrt(13) + 815380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*d - 33*d - 575 = 0. Let t = 122 - d. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10202 (base 3) to base 12.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -758 - -361. Let m = o + 400. Solve -2*b - m*j + 24 = b, -2*b + 3*j - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19\/6?  (a) -1  (b) 0.2  (c) 10  (d) -1\/2  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iaiijga. Give prob of sequence iigj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 52 = 21*x - 51*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 62 = -5*y, y + 157 - 173 = -2*v for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/3188 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -o**5 + 4*o**2 - 4*o**5 - 6*o**5 + 0*o**5 wrt o?\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/5, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from xbxbxxbxxbbb?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1125 is divided by 226.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 85*a + 2*a - 11*a + 115*a - 2*a + 1 - 1 + (-5 - 3 + 6)*(0*a + 6*a - a) - 3*a + 6*a - a as p + l*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12670, -12671, -12672?\n\"Answer: -f - 12669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g. Let b be c(-5). Solve 2*o - 5 = b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24075 litres in millilitres?\nAnswer: 240.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.9 and 360843539?\nAnswer: 360843538.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(65)*-4*5)\/(4*sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(160)\/sqrt(8)).\nAnswer: -40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -8*i**3 + 2*i**2 - 129*i + 553. Determine d(4).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*y = 49*y + 105. Let r(i) = 17*i - 1. Let x be r(1). Suppose -2*z + 5*j = -0*z - 90, -4*j = x. What is the highest common factor of z and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -201*j**4 + 12*j**3*m + 34*j**2*m + 378*j**2 wrt j.\nAnswer: -4824*j + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4) + 1\/(-2). Suppose h = -m - m. Calculate the remainder when 26 is divided by m - (0 + (-18)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 303*l**3 + 8*l - 18*l - 306*l**3 + 2*l**4 + l**2 to a*l**2 + r*l + h*l**3 + k + i*l**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-4 + 15) - 39\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*s = -93*s + 36595. Calculate the smallest common multiple of 7 and s.\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 20, 5*z - q - 3 - 57 = 0. Let f(h) = 2*h**2 - 7*h + 4. Is f(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7755 and 162030?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -g - 2*y, 0 = 4*g - 5*y + 9361 - 9429 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4 - 43\/(-2). Suppose -3*t + j = 7. Let a(f) = f + 10. What is the smallest common multiple of t and a(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.8 - 32.8. What is the smallest value in 0.2, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 3*c - 50. Let x be f(16). Suppose 0*u = 2*u. Suppose u = -5*g + 4*g - 3. Is g greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3829731.\nAnswer: 3, 241, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 384614 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - (-4 - 0\/(-1)). Find i, given that 0*i + 2*i - 2*i - s*i**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-4)*((-11)\/(-6))\/(-1). Let w = f - -63\/20. Factor 4\/5 - w*d - 2\/5*d**2.\nAnswer: -2*(d - 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 24*l + 3. Let f(g) = 9*g. Determine f(z(x)).\nAnswer: 216*x + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 + -2251518.\nAnswer: -2251521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.0289 to 0 dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6, -0.5, 5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -32*i + 265. Let a be u(8). Let l(o) = 2*o - o - 1 + o - 3*o. Give l(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 1037*i = f + 1034*i - 26, 3*f - 48 = 6*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-72)\/30*4\/12)\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, o: 5, s: 8}. Give prob of sequence ss.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6570 and 2920584?\nAnswer: 43808760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omy when three letters picked without replacement from {o: 1, y: 2, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4*g - 3*p - 8, g + 2*p = 2. Suppose -q = g - 6. Let i be (q\/2 - 1)*5. What is the greatest common factor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13740\/44655)\/(2120\/(-52))?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ce2fb - 79?\nAnswer: -ce374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1176665 or 1176666?\nAnswer: 1176665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 64\/7  (b) -0.4  (c) 3  (d) -1\/2  (e) 336\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.65 + 2363.371.\nAnswer: 2361.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 4*j + 234 = 34, -a + 84 = 3*j. Suppose 5*p = 10*p + 55. Let w = p - -19. What is the highest common factor of w and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68958 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44622, -36084, -27544, -19002, -10458, -1912?\n\"Answer: u**2 + 8535*u - 53158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -69 + 54. Let r be ((-16)\/6)\/((-10)\/t) - 17. Let w(v) = -3*v - 31. What is the least common multiple of w(r) and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 6*a - 10. Let b be (-1 + ((-20)\/15 - -2))*-45. Let v be r(b). Let i be ((-16)\/(-12))\/((-2)\/(-48)). Calculate the highest common factor of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y - 1. Let j(r) = -r**2 - r - 1. Let g be (2 + 0)*(-7)\/14. Suppose 5*z = 6 - 1. Calculate g*j(u) + z*t(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - p. Let b be 0 + 2 + 0 + 1. Let l(t) = 4*t**2 - 5*t - 1. Let y(j) = b*l(j) - 15*u(j). What is the derivative of y(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*c - 111 + 110*c - 33*c - 40*c to the form u*c + t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-3))\/(19\/38)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.89 - -2.89. Let x(u) = -u + 2. Let l be x(-3). Which is the nearest to -1?  (a) z  (b) -5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 3*d**2 - d**2)*(-12 + 9 + 27) + (2 - 2 + 2*d)*(-2*d + 3*d + 0*d).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 47 + 19. What is the remainder when 392 is divided by f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 9 = -3*a, 15 - 1 = 4*w - 2*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + a)*(3*a**3 - 1 - a**2 + a**2).\nAnswer: -3*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + a - 3*a + 173883, -2*y - a + 69553 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 1 = -a + 26, 0 = 3*a + 5*w - 31. Let b be 2*1 + 0*(-10)\/230. Differentiate -4*h**a + 11*h**b - 17*h**2 + 9 wrt h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 350 and 215200.\nAnswer: 1506400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 10*s - 22 = 5*s, -5*s = 5*x - 30. Let p = 4.4 - 4. Let g be (-81)\/(-90) - (-4)\/(-10). Which is the nearest to x?  (a) g  (b) p  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9672*d = 9447*d + 5175 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236*l + 3*v + 3 = 233*l, -2*v = -l + 11. Solve l = f + 19*s - 17*s, 2*s - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b - 6 - 3*b - 12057*b**2 - b + 9*b.\nAnswer: -12057*b**2 + b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -4*i + i**3 + 7*i - 2*i. What are the prime factors of n(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 + 22. What is the remainder when 39 is divided by (y\/4)\/1*8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*j - 81 + 84 = 0, 2*f - j = 5. Solve -19 = -6*l - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 13*q**2 + 189*q - 63. Give c(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311 is divided by 81?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 9*s - 26. Let i be a(-6). Let u = -13 - -22. Let x = i + u. Solve -5*j = -4 - x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -3  (b) -68  (c) 0.2  (d) 0.6  (e) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*j*o**3 + j*o**2*q - 271058*j*o*q**3 + 20902*j*o*q - 24*o**3*q**3 - 19*o**2 + o*q**2 wrt q?\nAnswer: -1626348*j*o - 144*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 102 = 61 + 53. Factor 0 - 1\/3*j**i - 1\/3*j**5 + 1\/3*j**4 + 1\/3*j**3 + 0*j.\nAnswer: -j**2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(((-6)\/15)\/((-7)\/(-35))). Is 1\/57 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -111251 - -54?\nAnswer: -111164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 760529897 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 + 11 - 138 = -22*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 43, 41, 19, -35, -133, -287?\n\"Answer: -2*z**3 + 2*z**2 + 6*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 3*y**3 + 3*y**3 + y + 12 + y**2. What are the prime factors of t(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*l - 17*l - 68 = -36*l. Let y(i) = i**3 + 4*i**2 + 1. What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8457 or 8456?\nAnswer: 8456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 11:38 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -312766 + 4?\nAnswer: -312762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004344187 to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*x - 18 = -24*x. Suppose 1 = a, 0*u + a = x*u + 1. Solve -3*l - 1 - 5 = u, 3*l = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 7*r - 9*r + 48, 4*r - 4*q = 104. Calculate the remainder when 240 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 18*a*f**2 - 30*a*t - 107*f**2 + 3*f*t wrt a?\nAnswer: 18*f**2 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.9 + 1.7. Let u = x + -0.3. Let a = -0.3 - -0.2. What is the closest to a in u, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2045 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y**2 - 3*y**3 + 0*y**3 + 9*y**3 - 3 - 4*y**3 + 5*y in the form a*y + b + m*y**3 + j*y**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 35*n**2. Let x(w) = -8*w - 11. Give x(j(a)).\nAnswer: -280*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -9. Suppose -3*s - 65*z + 70*z + 16 = 0, -2*s = -z - 13. Which is the fourth smallest value?  (a) s  (b) -2\/3  (c) y  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 278041044*y**4 + 255145221*y?\nAnswer: 3336492528*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -19336?\nAnswer: -1\/4834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -1. Let s(w) = -4*w + 4*w + 0*w - w. Let m(a) = -l(a) + s(a). Let b = 10 + -12. Let j(r) = 4*r - 3. Give b*j(o) - 6*m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6*(-3 + 6). Suppose -g - 2*o = -67, 5*g + t*o + 0*o - 359 = 0. Calculate the remainder when g is divided by (-5)\/(-15)*59 - (-2)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -118\/3 + 40. Let u(k) be the second derivative of 0*k**2 + k + 1\/3*k**3 + 1\/2*k**5 + 0 - f*k**4 - 2\/15*k**6. Factor u(a).\nAnswer: -2*a*(a - 1)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*f - 6*r + 4*r, 4*f = 2*r. Which is the closest to -33?  (a) -0.01  (b) -5  (c) -3  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**3\/5 + 18*w**2\/5 - 39*w\/5 - 126\/5 = 0. What is w?\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*v = -7*v + 3554 - 3504 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -9. Suppose -f*v + 48 + 48 = 0. What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 600 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 623861 (base 9) to base 11.\nAnswer: 233242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 19 + 21 + -24 - (1 + -5 + 4 - 5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n - 36. Let g be i(18). Suppose -10*o + 4 + 6 = g. Let v(p) = 93*p - 4. What is the remainder when v(o) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 3.965. Let x = 0.035078 + o. Round x to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {k: 1, j: 10, a: 9}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 2353*h**6\/2 - 459*h**2\/2 - 6*h - 5185. Find the second derivative of l(v) wrt v.\nAnswer: 141180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/6?  (a) 0.9  (b) -2.1  (c) 0.02  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/100  (b) -6  (c) -1\/7  (d) -4  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, -2\/7, -3.98?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + -1. Suppose 6*j - 2 = -2. Is c less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5562 and 96?\nAnswer: 88992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2418, -19245, -64916, -153861, -300510, -519293, -824640?\nAnswer: -1230981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6924435851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 193 - 184. Let w be (-6 - -3)*-5*12\/v. Solve -2*h + 13 = -3*z + 3, 4*h - w = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8c (base 14) to base 6.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 62\/33  (b) 2  (c) -8  (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -408 = -4*n + 52. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.40465, 4, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 4  (b) -2\/43  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3 + (-2 - 2 + 3)*(4 - 3 + 1) + 2 - 4 + 0)*(-8*p - 14*p - 11*p).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -477624898.67138 and -0.5?\nAnswer: 477624898.17138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Is 111 a factor of 95415600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 17 + 0)*(1 - 3 + 1)*(-13*d**2 - 4*d + 4*d).\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -46\/45  (b) 0.102  (c) -0.3  (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1222 (base 11) in base 6?\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -5*o**2. Let c(p) = 17*p**2 + 3*p - 9. What is c(q) + 3*k(q)?\nAnswer: 2*q**2 + 3*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -11.02444 and -1.8.\nAnswer: -12.82444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1137 + 119*s - 25*s + 1072 + s**2.\nAnswer: (s + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/((-16)\/(-4)))\/((-22)\/4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**6\/120 + 2*a**5\/15 + 7*a**3\/6 - 3*a**2. Let z be k(-8). Solve -w - 3*h + z = 3*w, w + 3 = 4*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -246874, -246926, -247010, -247120, -247250, -247394, -247546, -247700?\n\"Answer: i**3 - 22*i**2 + 7*i - 246860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 47 - 44 = 0. Put 0, 5, q, -2 in decreasing order.\nAnswer: 5, q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4495*w - 1500*w - 1500*w - 1499*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.02, 18, 0.03, 0.68?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -2. What are the prime factors of (g - (1 - 3)) + 58?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l + 25. Suppose -4*g - 13 + 37 = -4*h, 0 = 5*h - 3*g + 26. Let f be v(h). Let b(x) = x**2 - 5*x + 3. What is b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1*sqrt(684) + 4 - (-2 + sqrt(684) + -1 + sqrt(684))).\nAnswer: -18*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from hssossjhhlhh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*g - 8160 = -68*g - 8374 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4320226953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2. Let h(t) = 12*t - 33. Let v(y) = 15*b(y) - h(y). Calculate v(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220028709.\nAnswer: 3, 197, 372299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/7 - 552*v\/7 + 554\/7.\nAnswer: -2*(v - 1)*(v + 277)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*c - 61*c = -22*c. Let s(u) be the first derivative of c*u**3 + 0*u**2 + 21*u - 36 + 27\/4*u**4. Differentiate s(p) wrt p.\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in ninety-seven halves of a centimeter?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 11 - 11 + 84*n.\nAnswer: 82*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 17.39105 * 3\nAnswer: 52.17315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14053, 31591, 49129, 66667, 84205, 101743?\n\"Answer: 17538*q - 3485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18943?  (a) -3\/5  (b) -0.017  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -2759*o**4\/6 - 505*o**3\/2 - o**2 - 3569*o. Find the second derivative of w(y) wrt y.\nAnswer: -11036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5826.2 and 2.0162.\nAnswer: 5828.2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25.6 in 1, 0.3, -1, -186.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 k when four letters picked without replacement from mkkkkkmk.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 54, 91, 152, 243, 370, 539?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6 + 4 + 3)*(0 - y + 0) + 4*y + 6*y - 8*y)*(y + 0 + 0) + 2*y**2 - y + y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5559 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 3\/8  (b) 0.1  (c) 222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 5*l + 4*j = -35, 2*l = -j + 1. Find a, given that 1 - a**2 - l - 3 + 6 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -170 + 409. Let w = a - 97. Let l = -141.9447 + w. What is l rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -574  (b) 4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3204 + 423025\/132. Let b = 381\/2 - 147. Find the common denominator of n and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + 4*k**2 - k**2)*(69*k - 25*k - 46*k + 146*k**2).\nAnswer: 292*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*a - 402*a = -168*a + 1800 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of y**4\/12 + y**3\/6 - y**2 - 2*y - 4. Let q(w) be the first derivative of a(w). Find h such that q(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3\/5, 27\/2 in ascending order.\nAnswer: -5, -3\/5, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a - 87. What is x(0)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0*-0.4921\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-4) + 15\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1010 and 909?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**2 + 18*o**3 - 5*o**2 - 3*o**2.\nAnswer: 18*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1313, -2625, -3937, -5249, -6561, -7873?\n\"Answer: -1312*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -5*u - 130. Let s(f) = f + 46. Let o(w) = -7*s(w) - 2*x(w). Give o(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 6*o - 7. What is the second biggest value in -1\/4, o, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 9*q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.5 - -14.5. Let z = -712.3 - -694. Let k = j + z. Which is the smallest value?  (a) -3  (b) k  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1656, -1604, -1550, -1494, -1436, -1376, -1314?\n\"Answer: t**2 + 49*t - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + (sqrt(130) - (-3*sqrt(130) - sqrt(130))*4 - sqrt(130))\/(-3*sqrt(10)*-3 - sqrt(10)) + 3)**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1209.17825127 - -0.3.\nAnswer: 1209.47825127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 20579760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, v: 2}. What is prob of picking 1 v and 2 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1299252 divided by -6.\nAnswer: -216542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*r*t**2 + 2*r*t - 76*r + 99*t**2 - 40 wrt r?\nAnswer: -22*t**2 + 2*t - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31383 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -651, -613, -575?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 32*z - 415. Determine x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2032892 + 2032892 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20847 is divided by 1456?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-12) - 351882\/756. Let c = -465 - t. What is the nearest to 0.07 in c, 1\/2, 2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**(-25)*f)\/(f**7*f) assuming f is positive.\nAnswer: f**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 11:37 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 + 0*x + 0*x + (-1 + 5 - 2)*(0*x - 4*x + x)*(-5*x - x + 3*x)*(-1 - 3 + 3).\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (-39 - -24) - 10\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 6:52 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6918617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 42. Suppose 8 = -6*m + p*m - 2*t, -6 = -3*t. Let x(v) = -5*v**2 - 8*v - 2. Let y(l) = -6*l**2 - 9*l - 2. Let w(n) = 5*x(n) - 4*y(n). Give w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1440 - -1442. Let r(p) = 21*p**3 - 3. Let h(t) = -20*t**3 + 2. Calculate k*r(z) + 3*h(z).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 9. Let g be c(-4). Let h = g + 0. What is the units digit of (h - -2)*(-3 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35784 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11840 is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m. Let g = -5 - -7. Suppose -g = -3*s + 2*s. Let d(o) = 7*o**s - 8*o**2 + 0*o + 0*o. Give q(d(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185496 is divided by 527.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02 - -6.02. Is -2\/9 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3371, 4321, 5249, 6143, 6991, 7781?\nAnswer: 8501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 0*m**4 - 24\/7*m**7 - 7*m**3 + 0*m + 0*m**2 + 0*m**6 + 0*m**5 + 24. What is the third derivative of p(o) wrt o?\nAnswer: -2880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u + 2*u)*(u**2 + 3 - 3) + 3*u**3 + 4 - 4 + (-u**3 + u**2 - u**2)*(2 + 0 - 5).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*b = -7, 4*f - 2*b - 30 = -8. Let g = f + -2. Let z(t) = -t**2 + 2*t. Give z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, l: 3, c: 13, k: 2}. What is prob of picking 1 c and 1 b?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0.3. Which is the fourth smallest value?  (a) 1\/4  (b) 0.1  (c) 10  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*j*l**3 + 2*j*l*o**2 - 90*j*l*o + 3*j*o + 44*l**3*o**2 - 7*l**3 + 246*l*o**2 + 12*o**2 + 10*o wrt o.\nAnswer: 4*j*l + 88*l**3 + 492*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 3*c - 2*j - 95, -5*j = -2*c + 51. Suppose 5*r - 72 = -22. Calculate the remainder when c is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 22*i - 17*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (14 - 2)*(-7)\/(-28). Let -g**4 - 55*g**2 + 32*g**3 + 20*g**w + 38*g**3 + 28*g - 64*g**3 + 2*g**4 = 0. Calculate g.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s + 11. Let n be r(-8). Differentiate b - 7*b - n*b - 7 with respect to b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/1*1\/(7\/7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6404?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(0 + -22))\/(-1). Suppose -i = -k + 3, 5*k - 12 = k. Are i and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.655839 minutes in microseconds?\nAnswer: 399350340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + l**2 - 2*l - 1. Let b be f(-2). Let m = -37 - -36. Is m greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 1:33 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 2. Suppose -2*f + 5*f = 36. Suppose 0 = -3*j + 8*j - 2*r + 8, -3*r + f = -4*j. Calculate p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126179280 divided by 4152.\nAnswer: -30390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/6 - 2\/3 - -4. Let s be r - (24\/(-30))\/1. Which is the closest to -1?  (a) -1  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 664 - 27*v**2 - 525 - 137.\nAnswer: -27*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 540633762 and 6?\nAnswer: 540633762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 508961, 508980, 508993, 509000, 509001?\n\"Answer: -3*z**2 + 28*z + 508936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + (8 - (14 + -16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 8*z - 17. What is r(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n - 2. Let t(s) = s. Determine t(f(c)).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200322 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 f, and 1 v when four letters picked without replacement from {v: 5, d: 1, f: 3, k: 4, i: 1}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 10 = 2*r, -4*o + 3*r + 15 = 4*r. What is the lowest common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 256408.749 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xbgxxxxxfxkx. Give prob of sequence fkbx.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2033330 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvxb when four letters picked without replacement from bbzbbzbzzbzzvbbzzx.\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c + 10 = 15*c. Solve 0*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - f**2 + f - 12. Let g be k(-3). Put -2, 10, g, -4 in increasing order.\nAnswer: -4, -2, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1892, 3008, 4124, 5240, 6356?\nAnswer: 7472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Suppose 4*j - 16 = -2*x, 4*j - 2*j = i*x - 4. What is the third derivative of 7*r**2 - 3*r**2 - 2*r**j + 2*r**4 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -13. What is the closest to n in 23, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.8196 - -2.0196. Put h, 3\/5, -1624, 2 in decreasing order.\nAnswer: 2, 3\/5, h, -1624","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, w: 2}. Give prob of sequence tt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b - 7. Suppose 6*u + 36 = 2*u. Let x be w(u). Let y be (-3)\/(-2)*x\/3. Let i(q) = -5*q**2 + q - 1. What is i(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + j - j + (-j - 4*j + 3*j)*(-j - 2*j + 4*j) + 2*j**2 - 4*j**2 + j**2 - 2798*j + 111*j**2 + 2798*j + (-3 + 0 + 2)*(-j**2 - 2 + 2).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6041353*x**2 - 16869064?\nAnswer: 12082706*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llsejeeljppl. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*q - 10*q + 7*f = 5*f - 231, 7*q - 20*q + 50 = 5*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 96993 and 36476019.\nAnswer: 36573012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68508.12 millilitres to litres.\nAnswer: 68.50812","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 848 + -645. Let j = p - 37. What is the greatest common factor of 747 and j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 9*z**2 + 2*z + 14. Calculate h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t + 12. Let k be r(5). What is the third derivative of -3*h**3 - 2*h**3 - 9*h**k + 16*h**2 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2978, 5949, 8916, 11879, 14838, 17793, 20744?\n\"Answer: -2*z**2 + 2977*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**3 - 4*i**2 + 2*i**2 - 3*i**2 - i**4 - 5 - i - i to d*i**3 + u + c*i**4 + s*i + z*i**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3*22\/(-297))\/(40\/(-3) - -1). What is the closest to 3 in 3, g, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/5))**6)**(9\/5) assuming h is positive.\nAnswer: h**(108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.057103 and 2.77?\nAnswer: -0.15817531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 191*u - 194*u = 2, 0 = 5*u + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gfgfggi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21139 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22\/5 - 2\/5. Suppose 3*d + 26 = a*d. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 87*i**2\/7 - 474*i + 456\/7 = 0.\nAnswer: 4\/29, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 + 3*p**3 + 853*p + 1063*p + 4 - 99772*p - p**3.\nAnswer: 2*p**3 - 3*p**2 - 97856*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 - -40. Differentiate 4 + 0 - 12*v**2 + c with respect to v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*b - 2*b - 10*b + (4 - 3 - 2)*(-1 + 1 + 2*b) + (-2 + 2 - 1)*((-b + 3*b + 0*b)*(-2 + 3 - 3) - 3 - b + 3).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1166 - 143?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39585564, 5, 2, -5 in increasing order.\nAnswer: -39585564, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -1. Suppose -3*t = -5*t - u. Let k(p) = 3*p - 2*p - 2*p - 5 + 0. What is k(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + w - 1. Let s = 28 + -26. Let z be s\/1*(-1)\/(-2). Let r(h) = -h**3 + 2*h - 2. What is z*r(u) - 3*n(u)?\nAnswer: 2*u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1350 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ms when two letters picked without replacement from vvsvvsvvsdmmmmsm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**2 + 4*s - 4*s - 2*s - s**2 + 2*s + 0 + 0 + 2*s**2 - 1 - s**2 + 1 + (2 - 1 + 1)*(-2*s**2 - s**2 + 5*s**2) + 3*s**2 - 5*s + 5*s + 856 - 61*s**2 - 856.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -35 + 25. Let f(o) = 3*o**2 - 5*o. Let i be f(b). Is i\/(-5) - (-2892)\/30 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1987995281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -50, -69, -90, -113, -138, -165?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -387*y - 1330. Calculate the least common multiple of k(-8) and 20.\nAnswer: 17660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (535\/(-1926))\/((-100)\/(-15))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3715544, 3715543, 3715542, 3715541, 3715540, 3715539?\n\"Answer: -o + 3715545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 0.3516?\nAnswer: -3.3516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t = -37*t + 180 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 - -137. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3448?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l + 16. Let n be b(-11). Let x = -10 + n. Suppose -4*h = 2*m - x, 0*h - 8 = -2*m + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -6834*j + 81252. Determine o(12).\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1976 a factor of 32096061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -554 = -2*b + 3*d, -5*d + 0*d + 812 = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 485650.\nAnswer: 2, 5, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -2 + 22. Suppose 0*y = q*y - 104. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c*(c\/(c*c*(c\/(c**3*c))\/c))\/c*c))\/(c\/(c\/(c**5\/c)))*(c*(c*c**(-9))\/c)\/c*c*c*c*c**(-14))**(-42) assuming c is positive.\nAnswer: c**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96 by -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l**2 + 6*l - 6. Let n(h) = h - 1. Let t(y) = -28*n(y) + 4*z(y). Let c be t(-3). Suppose c = -s + 5*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 - 1)*(-469 - 21*t + 24*t - 4*t) to the form h + a*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2046 divided by 6\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -22661*d + 135761. Calculate v(6).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 8*g**3 + 138*g**2 + 29*g - 83. Let o be n(-17). Solve 13 = -o*p + 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17008211 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - n + 3. Let h(p) = 10*p**2 - 2*p + 14. Let k(y) = h(y) - 5*w(y). What is k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*1 + 1 + sqrt(2448))**2.\nAnswer: 46*sqrt(17) + 8994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/32 and -47\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*l**2 - 94*l - 6*l - l**2 as y*l + w*l**2 + f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**2*n + 4629734*h**2*s**2 + 10*h*s**2 - 117732*n*s + s**2 wrt h.\nAnswer: -4*n + 9259468*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 188693, 188789, 188885, 188981?\nAnswer: 189077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 49318 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7148)\/(-28) - 4\/14. Suppose -532 = -2*q + 6*q. Let f = i + q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.02, -9, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1551*t - 3*z + 21 = 1554*t, -5*t + 28 = 4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 - 2 + 4 - 1246*r - 329*r + 47*r**5 + 4*r**3 + 95*r**5 - r**4 wrt r.\nAnswer: 2840*r**3 - 12*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 17*w**3 - 7*w**2 - w - 6. Let t be v(-5). Let y = -13751\/6 - t. Calculate the common denominator of y and -37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 30812425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {m: 3, j: 3, t: 1, d: 1, n: 7, l: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from yvvvvvyvvvyyvvvvvvyv.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17.5 - 17.4. What is the second smallest value in -1, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s = -26 + 15. Let q(b) = 3*b - 7. Let u be q(s). Sort 2, -37, -3, u in increasing order.\nAnswer: -37, u, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m. Let f(l) be the first derivative of -5*l**2\/2 - 85. Give f(q(y)).\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-104)\/1092)\/(3\/(-7)*-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-56)\/((-1680)\/130)*(-3)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*a + 11878 = -75*a - 22 - 72 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/14 - ((-382)\/(-7) - -6). Let k = 113 + r. Is k less than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + 0 + 1 + 3*(sqrt(22)\/sqrt(2) + 1))**2 - (5*(4*sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99)))\/(-5*(sqrt(9) - sqrt(441))).\nAnswer: 143*sqrt(11)\/2 + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*s**3 - s**3 - 1 - s - 1 + (0*s + 6*s - 2*s)*(3*s - 3*s - 5*s**2).\nAnswer: -15*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22566, 22560, 22542, 22506, 22446, 22356, 22230, 22062?\nAnswer: 21846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(147) + 1)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**3*u**2 - 192*a**3*u - 1450477*a**2*u**2 + 18124*a**2*u + 8*a*u**2 + 2*u wrt u.\nAnswer: 2*a**3 - 2900954*a**2 + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13763101.\nAnswer: 11, 31, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -9162.745416 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/2  (b) -3\/146  (c) -1310  (d) 0.2  (e) -3  (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 10.9. Which is the nearest to -2?  (a) -0.2  (b) -2\/3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.07  (b) -0.1  (c) -2\/17  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/2)\/x)**38\/(x**(1\/21)\/(x**(-8)*x)) assuming x is positive.\nAnswer: x**(251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*c + 195*c**4 - 63*c + 693 + 21*c + 20*c wrt c.\nAnswer: 780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 48*p + 65 - 257. What is the remainder when 3261 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-850)\/(-100) - 14\/4. Solve z*r = -2*s - 2*s, 2*r - 17 = -5*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 2*h - 3. Let t(y) = -y**2 + 6*y - 2. Let b be t(6). Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 - 2*n**2 + n**2)*(-2 - 4*n + 2)*(-2 + 1 + 0).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -7717b8?\nAnswer: -7717b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 1\/5, 20 in descending order.\nAnswer: 20, 1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4573 - 2?\nAnswer: 4571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*3 + -4 - sqrt(320) - (sqrt(320) + sqrt(320) + -5 + (-2*sqrt(320))**2))*-3 + -3.\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = -21*g + g + 104. Let y be 2 - (2 + 2\/(-74)). Sort -5, y, g in decreasing order.\nAnswer: g, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -39*k**2 - 687*k + 274. Determine a(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-14))\/((-855)\/665)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -8. Suppose s = -2*x, -d + 24 = d - x. What are the prime factors of d\/(-6) - (-8 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-2)*12\/9. Let h(a) = -a**3 + 8*a**2 - 2*a + 6. Is h(y) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -0*s - 2. Suppose -4*q + 50 = s*h, -2*h - 6*q = -3*q - 53. Let a = h + -22. Is a less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 121249*a**2*f**3*v - 91*a**2*f**3 + 342*a*f**3 wrt v?\nAnswer: 121249*a**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f**4 - f**3 - 699*f**2 - 8*f - 4. Let c(k) = -5*k**4 + 701*k**2 + 6*k + 3. Let g(m) = -4*c(m) - 3*j(m). What is the third derivative of g(l) wrt l?\nAnswer: 264*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(1\/6)*c)\/c)\/(c**(-6)\/c))**(-1) assuming c is positive.\nAnswer: c**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -34 + 28 + 21 + 28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46*x**2\/15 + 1397446*x\/15 + 162032.\nAnswer: -2*(x - 30381)*(23*x + 40)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 8858, -10, 10, 2, -5 in increasing order.\nAnswer: -10, -5, -2, -1, 2, 10, 8858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8227.341 minutes?\nAnswer: 137.12235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = p - 6. Let j = -5 + p. Suppose -3*o = 6, 4*o = -j*a + 2 - 10. Solve 2*x - x = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 9 = -21. Suppose -3*v + v + 24 = 0. Let j = v - t. Solve 0 = -2*q + 4 + j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -192, 1\/6, -0.1, -1 in decreasing order.\nAnswer: 2\/5, 1\/6, -0.1, -1, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4433, 9427, 15553, 23375, 33457?\n\"Answer: 94*o**3 + 2*o**2 + 4330*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*r**2 + 15 + 5*r**3 - 15 - 3*r**3 in the form g*r + x + v*r**2 + c*r**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/19*g**2 + 504\/19 - 134\/19*g.\nAnswer: 2*(g - 63)*(g - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228552517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 0. What is the third derivative of s*w**2 - w**2 + 0*w**2 + 2*w**6 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10515 is divided by 876.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23744*w**5 - 4665*w**3 - 16611*w**2 - 908.\nAnswer: 1424640*w**2 - 27990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 + -7. Let m = -30 - t. Let b(j) = 3*j**3 - 5*j + 2. Does 10 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6666.0369 - -4239044?\nAnswer: 4232377.9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -44*j**2 - 90. Let f(q) = 649*q**2. Determine k(f(p)).\nAnswer: -18532844*p**4 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - 1970\/(-330))\/((-6)\/(-9)). Which is smaller: -18 or b?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 24 + (-6 - -6) + -5 - 22\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z - 10. What is the remainder when 103 is divided by g(-31)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -258546 (base 9) in base 13?\nAnswer: -5670c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/5 or 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-10) + (-1 - (-22)\/4). Let l(z) be the first derivative of -o + 1\/2*z**2 + 11*z. Give l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4*n + 32, -n - 3*j + 1 + 15 = 0. Suppose -136 = -0*y - n*y. Calculate the remainder when y is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.22?  (a) 4  (b) -1  (c) 1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 + 12*u**3 + 306*u**2 + 564*u + 273.\nAnswer: -3*(u - 13)*(u + 1)**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 56\/(-12)*3\/(-2). Suppose s*z = 4*z + 9. Let q(w) = -1066667*w + 1. Let r be q(z). What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 6:59 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -5*r**3 + 38*r**2 + 11*r + 41. Give z(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 0.19, 5, 23\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30766487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 8*c**2 + 3*c + 8. Let y be p(-7). What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1004834 = 3*q - 2*f - 2*f, 2*q = 2*f + 669888. Suppose -q = 3*x - 2*x. Let y = -315058 + x. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 301094702 to the nearest integer?\nAnswer: 17352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 1)\/(-3 - -4). Suppose w = p - 7 - 2. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 2, -2, 102 in descending order.\nAnswer: 102, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 3:14 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -300297 by 31.\nAnswer: -9687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78797900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 - h - 9. Give t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3711?\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4))**7 assuming k is positive.\nAnswer: k**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -25*l + 903. Let y be d(36). Solve k = y*p + 7, -4*p - 6 = k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -484 < -493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*h - 4*o - 33, -5*o - 8 = -4*h. Let f = -2 - -1. Which is the third smallest value?  (a) -4  (b) h  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -731824 by -424.\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-w**3 - w**3 + 4*w**3)*(-1 + 2 - 2) - 7*w**3 + 2*w**3 + 3*w**3 + 2*w**3 - w**3 - 2*w**3 + 5*w**3 - w**3 + 0*w**3)*(-60*w + 29*w - 26*w).\nAnswer: 57*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 20 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 1:48 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 57995080 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 1:56 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.09 - 4.09. Let p = s + 3.6. Let h = 0.139 - -0.361. Which is the nearest to -0.1?  (a) -1  (b) h  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**2 + 3*y**2 - 8*y + 6 + y**3 - 4. Calculate the remainder when 25 is divided by j(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -183 + 204. Let k be 12\/(-28)*-7*(-6)\/z. Which is the nearest to -4?  (a) k  (b) -1\/3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 179 = 71. Solve -y*o = -14*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 6*b**2 - 3*b - 4. Calculate the least common multiple of 2 and d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*y + 38 = -37. Let m(h) = -31*h + 5. Let g(x) = 16*x - 3. Determine y*g(s) + 3*m(s).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16 - -1) + (-2 - 1). Suppose c - 4 = 5*o. What is the third derivative of -2*p**o - p**5 - p**3 + p**3 + 7*p**2 wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 321?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -2\/565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*h - 876 + 262 = 346 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -ab9306?\nAnswer: ab9302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4283 is divided by 1735?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -292 = 5*h - 297 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + -1)\/(5 - 85\/15). Sort 3, 13, 0, g.\nAnswer: g, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1321279 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 6*l + 50. Let f be 9\/(l\/8 + -1). Suppose 9*v + f = 13*v. What is the remainder when 9 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1803816 divided by 300636\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.274841 - 4.4748463. Let x = -2.2 - h. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(76)*-1 + -4) - ((sqrt(304) - (sqrt(304)*2 + 0)) + (sqrt(304)*2 + sqrt(304) - sqrt(304)) + -3))**2 + 0.\nAnswer: 432*sqrt(19) + 1945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003559248 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*d + 4*d**4 - 8*d - 10*d**4 + 2*d**3 - 2*d**2 + 4*d**2 as b + i*d + a*d**4 + w*d**2 + h*d**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 7*x. Let c(w) = -174*w. What is y(c(j))?\nAnswer: -1218*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37365816 divided by -6.\nAnswer: 6227636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q = 4*n + 32, 5*q - n = 28. Let k(p) = p**2 + 8*p + 9. Let y be k(-7). Which is the smallest value?  (a) y  (b) -1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100000 (base 2) in base 9?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3 - 7329*l**2 - 36614*l + 43944 = 0. What is l?\nAnswer: -7324, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3431 - 2*l - 3431. Let z(g) be the first derivative of 2*g**3 + 2. What is z(m(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/8505523 and 34\/2068911.\nAnswer: 76549707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1069222009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y. Let k = -13 + 19. Let j be t(k). Suppose 5*w - 12 = -2*i, 26 - j = -5*i. Solve -3*q = -w*f + 2*q - 3, 18 = 3*f + 3*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (650\/13)\/(((-30)\/(-5))\/(-6))*(-176)\/(-220)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7882271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -16*t - 59. Sort -9, t, -0.2, -0.1 in ascending order.\nAnswer: -9, -0.2, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*q = -20, 6*q - 10*q = -g - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3483 and 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 315.8547 meters?\nAnswer: 31585.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -15*o + 32*o - 2*o - 2 + 57*o. Let y be i(1). Suppose 8 = g - y. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1576 and 183013.\nAnswer: 1464104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -521773*y**3 + 3978617*y**2.\nAnswer: -3130638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 68580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/(-156)*16)\/((-6)\/(-63))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 4*a**2 - 3*a - 2. Let n be ((-270)\/(-65) - 2) + (-8)\/52. Let t be p(n). Solve 5*u - 3*u - 2 = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11899093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2221761 is divided by 6021.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000323641 rounded to seven dps?\nAnswer: -0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -8  (b) 7  (c) 2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -120, -181, -242, -303?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p - 5. Let t(d) = -8*d - 15. Let f(c) = 11*n(c) - 4*t(c). What is the units digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*y = -56890 + 56722 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 6*q**2 - 8. Let a be z(7). Let t = a - -95. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2322221 (base 4) to base 2\nAnswer: -10111010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 68826660 divided by -372036?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v + 10, 4*v = 2*c - 1 - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {z: 11, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 at most 189812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve -6911*h = -6912*h + m - 11, -4*h = 3*m + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-2\/5)*v*v*v)\/v)**(-24))**(4\/5)\/((v**(-2\/5))**(2\/115))**7 assuming v is positive.\nAnswer: v**(-28676\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 2*a + 11, -p - 40 = -3*p + 2*a. Suppose 5*q - c + 42 = 0, -5*c - 12 = -c. Let t = p + q. Solve -h - t = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 7:44 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 51*c + 270 = 0. Solve 10 = -c*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(66)*-1 - sqrt(66))\/sqrt(3))\/((sqrt(726) - 2*sqrt(726) - sqrt(6))\/sqrt(3)) + 3)**2*4.\nAnswer: 4*sqrt(11) + 335\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10954 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 n when four letters picked without replacement from {q: 1, c: 1, n: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 5*h + 8. Let m be z(4). Is -26 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**1*f)\/f)\/f**(-1\/3))\/(f**1*(f\/(f**(-2\/17)\/f))\/f) assuming f is positive.\nAnswer: f**(-40\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 4*m = 8*l + 4, 5*l = 3*m + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.5 to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 34 + 1684?\nAnswer: 16b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-66)\/8 + 76 + -69. What is the smallest value in a, 5, 263?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 179\/2*x**2 + 144 - x + 3*x**3. Differentiate b(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + f = -33. Let z = 1 + -6. Let l = f + z. What is the remainder when 10 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179 = -5*y - 4*k + 874, -842 = -4*y - 3*k. Let b be -4 + -3 - (-446 + -3). Let c = b - y. List the prime factors of c.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + -28. Round d to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3358 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9524420929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15353.\nAnswer: 13, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o = 18*o. Suppose o = -13*i + 18 + 8. Solve i = -q + 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 967005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -67, 25 in descending order.\nAnswer: 25, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 323767 >= 323778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2343189, -2343156, -2343123, -2343090, -2343057?\n\"Answer: 33*y - 2343222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 8*y = 7*y. Let q(l) = -l**2 + 2*l + 2449. Is q(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 131 = -44. Let x = 32 + l. Let w be 7\/(21\/6) - x. Solve 0 = -w*u + 3*k - 34, 27 = u - 4*u + 4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5*d + 4 = 0. Suppose -5*q - 403 = -3*a, a + 4*q - 78 - 28 = 0. Suppose 0*t - a = -2*z - d*t, -3*z - 4*t = -195. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventy-five quarters of a century?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 71175 divided by 14235\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1523760710?\nAnswer: 2, 5, 257, 592903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*s = 106*s. Let r be (2\/(-4))\/(1\/(-6)). Suppose -10 = -2*b - r*b. Solve 5*u - 3*a - 16 = s, -2*u = -b*a + 4*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 948449699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 8:22 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1182, 1184, 1186, 1188?\n\"Answer: 2*w + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 184 and 3903992.\nAnswer: 89791816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -31, -50, -69, -88?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -888042*j**2 + 444025*j**2 + 444021*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 12*j**2 - 22*j + 9. Let i be s(15). Let d = i - 174. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 9 = -21. Let n = c - -9. Let v(q) = 5*q + 5. Let p be v(-1). Solve n*d + 1 - 11 = 4*t, 2*t + d = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*r - 17 = -5, r = -y + 4. Let q(i) be the second derivative of -3\/20*i**5 + 0*i**y + 1\/4*i**4 + i - 1\/6*i**3 + 1\/30*i**6 + 0. Factor q(t).\nAnswer: t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uunuwuw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 895810*d**3*f**3 + 2*d**3*f**2*h**2 - 2*d**2*f**3 + 16*d*f**3*h + 72639*d*f*h**2 wrt d?\nAnswer: 5374860*f**3 + 12*f**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-11)\/(44\/112)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 95a3 - 18a?\nAnswer: 9416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-530*z + 1361 - 1361 - z + z + z + (-2*z - 2 + 2)*(-6 + 5 + 0) + 2*z + 2*z - 3*z)*(3*z - 4*z - z).\nAnswer: 1052*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 6*p. Let q be l(1). Let b = q + -4. Is b > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*u**5 - 26895*u**4 - 994824*u**3 - 12939264*u**2 - 64499328*u - 77324544 = 0. What is u?\nAnswer: -1243, -12, -12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 2*w + w)*(-12 - 19 + 3)*(5*w + 2*w - 3*w).\nAnswer: -672*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 670 - 113. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1262, 1263, 1264, 1265, 1266, 1267?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16 from -0.0775.\nAnswer: -16.0775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.770495 kilometers to micrometers.\nAnswer: 5770495000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 378, 1488, 3346, 5958, 9330, 13468, 18378?\nAnswer: 24066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + 571666?\nAnswer: 571664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-6))\/((-6)\/90). Suppose t = -t + k. Suppose -h = -t*h + 212. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, d: 3, h: 1, a: 4, p: 5, k: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2799335117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 h, and 1 d when three letters picked without replacement from {t: 2, d: 2, q: 1, h: 5, w: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 67.87694 decades?\nAnswer: 678.7694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -3*j - 8. Suppose -j*r - 32 = 92. What is r rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(9)\/sqrt(12))**2.\nAnswer: -3*sqrt(3) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2202333002 (base 4) in base 10?\nAnswer: 667586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2721 bigger than -2671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 135235282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1516413560342529047 - 1516413553467620363.00000043. Let r = u - 6874908779. Let h = 95 + r. What is h rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/8)\/3*-4. Suppose -4*x = -b*a - 0*a - 16, 2*x + 5*a = -16. Sort x, -1, 0.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*l + 4. Let b(u) = 4*u - 2 - l*u + 0*u. Let y(j) = -2*j**2 + 12*j - 3. Let z be y(6). Give b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/29168 and 107\/74557054?\nAnswer: 596456432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o + 2*o = -7600. Suppose -68*r + 60*r + o = 0. What is the greatest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o - 3*j + 60 = 0, 5*j - 35 = -4*o. What is the common denominator of -11\/3 and o\/(-30) - (-14)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**3 - 10*j**3 - j**3)*(j**2 + 8*j**2 - 2*j**2).\nAnswer: -98*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**2 - 2*w**2 + 0*w**2 + 548*w**3.\nAnswer: 548*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 309 = 79. Calculate the remainder when o is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 415643 is divided by 228.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27*(15 - (-154)\/(-14) - (-33)\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + (-51 - -26) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 4*p + 10 = 0, p - 20 = 6*p. Let y be w\/6*(-12)\/4. Let u be y\/15 + (-5)\/15. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kptk when four letters picked without replacement from iipicpklpllllpltkl?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21560882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 36, 40, 44, 48?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14a51 (base 15) in base 2?\nAnswer: 10000001110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u + 23. Give v(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666876*z**4 + 195204188*z**3 - 524371464*z**2 - 165722288*z + 13920 = 0.\nAnswer: -2\/7, 2\/23817, 3, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 46487332 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1043 is divided by 156?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3817\/93 - -235\/62. Is 44 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 620\/160 - (-210)\/(-60)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26177196 is divided by 2181432.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 7. Suppose 3*g = -0*g + m. Let r be 3 + -2 - (g + 1). Let k(f) = f**2 - f - 1. Let b(p) = 5*p**2 - 7*p - 8. Determine r*b(t) + 6*k(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j + 2. Let h be x(5). Let a be ((-51)\/(-12))\/(h\/(-12)). Solve 4*z = -3*b - 15, 5*b - 5*z + 8 + a = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 + 89. Suppose -3*x = 4*v - j, -4*x - x - 4*v = -37. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95116.3 - 0.3.\nAnswer: 95116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 19*b - 23*b + 15, 2*b - 12 = -2*t. Solve 0 = p + t - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1021143*k**4 - 11*k + 42438 wrt k.\nAnswer: 12253716*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.269341 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -18 - 1d?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10517?  (a) -5  (b) 5  (c) -0.5  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t. Let d be 0\/(1 + -2 - -2). Let n = d - -2. Let s(m) = -2*m - m**n + 3*m - m. What is s(x(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 8*l**2 - 8*l - 5. Let c be s(9). Suppose c*x + 8 = 36. Suppose -40 = 3*q - x*q. Solve -4*g + 2*g = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 = -4*x, -4*x - 71 + 12 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(0 - 16\/36)*30. What is the third derivative of -z**2 + 622 - 622 + 262*z + o*z**3 wrt z?\nAnswer: 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g + 52. Determine d(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 90120*i**3 + 324212*i**2 - 144984*i + 352 = 0?\nAnswer: -4, 11\/4506, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23997 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25 - -46. Let l be 18 - (4 - (3 - 2)). Suppose 2*c - 95 = -l. What is the remainder when c is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = z + 677, -9*z = u - 13*z - 342. What is the greatest common factor of u and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -11*m**2 - 127*m + 3. Let o(c) = -2*c. Give p(o(g)).\nAnswer: -44*g**2 + 254*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 470 + -332. Let r be 1*(0 - 1) + 90. Let o = l - r. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00042078259 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 15 = 5*t, 2*x - 31 = -5*t - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 583006 = 8*h + 582982. Factor -8\/3*r + 4\/3*r**2 - 16\/3 + 2\/3*r**h.\nAnswer: 2*(r - 2)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -20, 7, 5, 2, -3 in decreasing order.\nAnswer: 7, 5, 2, 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, k: 2, b: 1, v: 6, f: 2, r: 2}. What is prob of picking 1 q, 1 b, 1 v, and 1 f?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 8:20 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**3 + 3*b**2 - 3*b + 5. Let r(s) = -6*s**3 - 5*s**2 + 6*s - 9. What is 3*r(t) + 5*x(t)?\nAnswer: -3*t**3 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 37987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-18)\/(-42))\/((-6)\/20))\/((28\/(-2))\/392).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 270 + 118. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*n - 156*n + 2592 = 0 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 - -26. Suppose 0*i + 186 = -3*b + i, 2*b = 4*i - 124. Let l = s - b. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.05  (b) 0.3  (c) -3\/704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ynnplyoolgnpgony.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/33)\/(f\/(f*f*f\/(f\/f**4)*f*f)))\/((f**(1\/20)*f)\/f**(-1\/14)) assuming f is positive.\nAnswer: f**(27439\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59638 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 158 + 14. Let s = -37 - z. Let w(f) = -2 + 0*f**3 - 25209*f**2 + f**3 + 25202*f**2 + 8*f. What is w(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2568 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v - 1 + 1)*(7*v - 9 + 9)*(4*v - 7*v + 0*v) as m*v**3 + a*v + i*v**2 + u and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21816 at most 21793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 108440.6 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 129055, 129053, 129039, 129007, 128951, 128865?\n\"Answer: -w**3 + 5*w + 129051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i + 2. Let r = -623 + 644. Suppose f - r = -12. Calculate p(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2 = 5. Let o be (-4 - 0) + (i - 0). Let g = o - 3. Let v(t) = 5*t - 1. Let k(b) = 9*b - 2. Calculate g*k(w) + 11*v(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/12)\/((-90)\/(-15))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 - -1016. Let k be (q\/(-6))\/((-3)\/(-6)). Let d = k + 484. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -45988*f + 31. Calculate w(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w**2 + 0*w**2 - w**2)*(-4*w - 2*w + 3*w).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -12024 (base 6) to base 11\nAnswer: -1346","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6544733, 26178965, 58902701, 104715947, 163618709, 235610993?\n\"Answer: v**3 + 6544746*v**2 - 13*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 3:56 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 + 307458*h - 307456.\nAnswer: -2*(h - 153728)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277 = 60*j - 877 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -8345707.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13785353 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 7:19 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 15766500?\nAnswer: 15766503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 13*l + 41. Let k be g(9). Suppose -2*h + q = -6, 2*h + k*q - 2 = 4. Which is the second smallest value?  (a) 0.4  (b) 5\/2  (c) h  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -94206770 < -94206770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -0.31, -29 in decreasing order.\nAnswer: 17, -0.31, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -12*p**2 + 12*p - 12. Calculate b(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10118 = -5*i + 2*k + k, 3*k - 8116 = -4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l - 49. Let s be i(-5). Let t be 1 + s\/21 - -1. What is the third smallest value in 0, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.014634214 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of v**4\/24 - v**3 + 3*v**2. Let c be l(6). Suppose -3*b - 5*n - 1 = c, 4*b - 2*n - 1 = 41. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1064\/9 - -118. Let a(u) = -u**2 + 292*u - 1712. Let o be a(6). What is the second smallest value in -2, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -4*l - 34, 6*b + 4*l + 27093 - 27052 = 3*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -7059415.3 to the nearest 1000.\nAnswer: -7059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42*1*(-384)\/1152)\/((-2)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -2*k + 28, 0 = -2*p + 4*k + 2 + 12. Suppose 0 = 3*f + w - 13, 2*f - 4*w + 17 = p*f. Solve -f*y = 3*o + 21 - 3, 0 = -3*y - 3*o - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 * -999.73\nAnswer: -19.9946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebejbjbbjjjj. What is prob of sequence eb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10124 + -2124?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(2 + (-54)\/21). Let x(s) = -60 + 0*s**3 + 52 - s**3 - 4*s + a*s**2. Let i be x(6). Solve -i*w + v - 22 = 0, 0 = 4*w + 5*v - 2*v + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1587 and 5672467?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-3)*9\/(-4). What is the second derivative of n - 3*w**2 + 2*w - 12 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1243102 - -13?\nAnswer: -1243034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + b**2 + 2*b**2 - b**2 - 1 to the form o*b + v*b**2 + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 + -175 + 80 + 30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m**5 + 380*m**4 + 28224*m**3 = 0. Calculate m.\nAnswer: -49, 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0405951658 to five decimal places.\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 2, z: 2, a: 6, h: 1, d: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 2. Suppose 23 = -v + 4*h, 4*h - 3*h + 52 = -5*v. Let k be 1*(-2)\/(-4)*4. Let w(f) = f**k + f**3 - 7*f**2 - 11 + 0. Calculate v*o(r) + 2*w(r).\nAnswer: 2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u + 28. Let s be x(-16). Let m be (-22804)\/s - (-6)\/18. What is m rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*k + h - 12 = 0, -5*k = -2*h - 9. Solve k*x - 2*x - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29\/(-4350)*5*-5)\/(2\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30270936?\nAnswer: 2, 3, 1261289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 733 - 738. Let d(h) be the second derivative of -2*h**3\/3 - 23*h**2\/2 + 2*h. Let q be d(o). Put q, -1, -2 in increasing order.\nAnswer: q, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.4, 0.2, -3\/7, -4.856 in descending order.\nAnswer: 0.4, 0.2, -3\/7, -4, -4.856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.2, 13, 1\/6, 4 in ascending order.\nAnswer: -0.2, 1\/6, 0.5, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -67, -162, -293, -478, -735, -1082, -1537?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 292 - 175. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**3 + 21084*q**2 + 597663*q - 34990704 = 0?\nAnswer: -57, 29, 7056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*y - 4*o, 18 - 8 = -3*y + 5*o. Let c(f) be the first derivative of 1\/4*f**4 - 14 + 1\/3*f**3 + 0*f + y*f**2. Solve c(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 10*i**2 + 4*i - 9. Let w be y(-8). Let u = 956 - w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 + 2)*(-4*f - 7*f + 5*f).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 94.1 + -88. Let c = -2.1 + a. Let r = -1.03 - -0.73. Put c, 0.2, r, -0.4 in increasing order.\nAnswer: -0.4, r, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*(o\/((o\/(o*o**(-40)))\/o))\/o*o*o*o)**(-7)\/(o**(4\/5)\/o*o*o*o**23\/o) assuming o is positive.\nAnswer: o**(1036\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + 4*m**2 - 3*m**2 - m**2 + 0*m**2 - 2*m**2 + (3*m - 2*m - 4*m)*(-3 + 3 + 2*m) - m**2 - 2*m**2 + m**2)*(2 - 1 - 2) - 2*m**2 - 2*m**2 + 5*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.254  (b) 2  (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9310.4782 and 4?\nAnswer: 37241.9128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 23. Suppose 59 + 37 = c*p. Suppose -5*t - p = -j, 0 = -2*t - 8. Solve -q - j*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -2*f - 4*x - 13, 3*f - 13 = 5*x. Let l be ((0 - -3) + -3)\/f. Suppose l = -j - 6 + 2, 2*j + 3 = 5*t. Let y(u) = -5*u**2 + 2*u + 1. Give y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(2 + 0 - 1)*(-8*s + 8*s + 13*s**5).\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 90492 divided by -1730\nAnswer: -45246\/865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -u**3 - 52*u**2 + 107*u - 54 = 0.\nAnswer: -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -1, -1\/4, 0.4 in increasing order.\nAnswer: -71, -1, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 138815771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, -0.2, -0.1 in ascending order.\nAnswer: -0.2, -0.1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i = -86*i - 612 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 - -23. Suppose -4*x + 5*p + n = -23, 0 = p. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -11. Let c = w - -9. Suppose -11*l + 20 = -c*l. Solve -l*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6*25\/2)\/1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 58*m**2 + 296*m + 5*m**2 + 348 + 437*m**3 - 436*m**3.\nAnswer: (m + 2)*(m + 3)*(m + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 (base 10) in base 3?\nAnswer: -21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -231, -460, -677, -876, -1051, -1196, -1305?\n\"Answer: h**3 - 236*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Let h = 7836 + -7834. Find the third derivative of -24*a**3 - a**3 + q*a**h + 3*a**2 wrt a.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87 + 27 + 2*j + 60.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + u + 18 = 3*n, -3*u + 59 = 5*n. Suppose -255 = -n*b + 15*b. Let a = -29 - b. What is the least common multiple of 20 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**3\/3 - 2*w + 12. Let u be n(-2). Let j be 1 - -1 - -1 - u. What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -251c5 + -2ba?\nAnswer: -254b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**5 - d**4 - d**3 - d**2 - d - 1. Let u(k) = 3*k**4 - 2*k**3 + k**2 + k + 1. Let p(i) = -u(i) - w(i). Suppose p(x) = 0. What is x?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -355, -969, -1997, -3439, -5295, -7565?\nAnswer: -10249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2708.468 micrograms to milligrams.\nAnswer: 2.708468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 7:06 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -5*b + 4. Let k(f) = 14*f - 11. Let m(i) = -3*k(i) - 8*n(i). Let d(w) = 11*w - 6. Let s(y) = d(y) + 5*m(y). Let x(v) = v - 4. What is -2*s(q) + x(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 869999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1291223806 divided by -2.\nAnswer: 645611903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.243, 2, -5 in ascending order.\nAnswer: -5, -3.243, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -167, -417, -769, -1217, -1755, -2377?\nAnswer: -3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -16118 * 5\nAnswer: -80590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -m - 3*h + 242, 0 = -2*m - 3*h + 311. Let k = m - 106. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/10*((-720)\/(-256))\/((-6)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-24)\/(-18)*9\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34*x**6 + x**5 - x**2 + 3.\nAnswer: -4080*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40 - 38 + 144 + 6*h**2 - 35 - 35 to n*h + t + w*h**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28 - -44) + -29 + -4 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15216 and 350512?\nAnswer: 333336912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 11:36 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -97, -186, -279, -376?\n\"Answer: -2*n**2 - 83*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 32. Suppose -3*l = 0, 3*l = -3*f + t + 23. Suppose 10*n = f*n - 3. Solve 3*q + 9 = -n*w, 4*w = q + q + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -99\/67 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**19)**(-36) assuming t is positive.\nAnswer: t**(-684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t + 1 + 0*t + 2*t - 8*t + 90*t**3. Suppose 4*d - 6*d = -2. Let n be w(d). What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 19*n + 2*n - 2*n**3 - 11*n - 11*n + 2. Let a be 8\/12 + 16\/(-6). Determine q(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17321, 17207, 17091, 16973?\n\"Answer: -r**2 - 111*r + 17433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 659 - 157. Suppose -1717 = -3*o - t. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5504 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 488*v**2. Let b(j) = 269*j**2. Calculate b(s(i)).\nAnswer: 64060736*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/205 and 97\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/((28\/(-5))\/((-14)\/(-35)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of g**4\/12 + 5*g**3\/6 - 7*g**2\/2 - 8*g. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173611 + 112528*h - 173611 - 18895*h.\nAnswer: 93633*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 4*x - 505, -219 = -2*t - 9*x + 4*x. Let o = 11651 - 11554. Is o <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w. Let a(y) = 3*y + 1. Let m(s) = -a(s) + 5*k(s). Let p(t) = t - 1. Suppose 0 = 2*q - 5*q + 12. Give q*p(v) - 3*m(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 707*p**6\/2 - 2*p**3\/3 + 225*p**2\/2 - 1044. Find the third derivative of d(r) wrt r.\nAnswer: 127260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1653*l**3 - 70*l**2 - l - 1.\nAnswer: 9918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 10*a - 3. Let g = 500 + -498. Calculate s(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h. Let y(q) = 9*q**2 - 11*q**2 - 8*q**2. What is y(w(z))?\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*b**3 - 36*b**3 + 46*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -8. Let m = q + 0. Let f = 0.24 + -0.24. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 211. Give x(0).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 1\/30*d**5 + 1\/8*d**4 + 0*d + 1\/360*d**6 + 2*d**3 + 12*d**2 + 0. Let k(l) be the first derivative of u(l). Factor k(q).\nAnswer: (q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s - 6267. Let c(i) = 2*i**2. What is c(m(d))?\nAnswer: 18*d**2 + 75204*d + 78550578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 331*g**2. Let j(w) = -5*w**2 + 313. What is j(n(i))?\nAnswer: -547805*i**4 + 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -418.5135\nAnswer: -83.7027","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a5 + -11?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -d**3 + 4*d. Let p(o) = -2*o. What is p(z(n))?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 5, -5, 0.1, -0.8, -1\/19, -646?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 47838 and -614 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -c2 (base 13) in base 16?\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, t: 1, c: 3, w: 6, m: 3}. What is prob of picking 2 l and 2 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 3*(-14)\/63*-39*(-1 - -5).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mpom when four letters picked without replacement from poppopmommmmmommmmo.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2695 + -2682. Solve -z - 10*p = -j*p - 14, 5*z + 4*p = -25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5640 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 39\/91*-25.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of -k**5\/20 + k**4\/12 - k**3\/6 - k**2\/2 - 1143*k - 2. Give w(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 21*t - 192. Suppose t = -k + 2*k. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-26\/3))**(-1\/16)*(a*a*a**(-40))\/(a\/a**18) assuming a is positive.\nAnswer: a**(-491\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**2. Let f(g) = 27764*g**2 + 6. What is f(a(k))?\nAnswer: 111056*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 15 = -11. Let j be 74\/26 - q\/169. Let v be j*1\/(-2)*8\/(-3). Solve -v*g + 2*g + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 54 = -c - 0*c, 0 = c - 5*o + 36. Let w = c - -49. Solve -l + w*l - 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 - 3*h - 2. Suppose -3 = 5*j - 23. Let d(z) = 4*z**3 + 7*z + 5. Let c(l) = j*d(l) + 10*t(l). What is the second derivative of c(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - 2*9\/2. Let b be (-2)\/64*z\/10. Let x = b - 67\/80. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5091 and 129.\nAnswer: 218913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*q**3 + 16*q**3 + 91*q**3 + 18*q**3.\nAnswer: 132*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -3*d - 13. Suppose 0 = -55*a + 54*a + 2. What is the least common multiple of d and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 8*w**3 - 76*w**2 - 10*w + 347. Determine j(9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 107, -299, -1315, -3217, -6281, -10783, -16999, -25205?\n\"Answer: -46*i**3 - 29*i**2 + 3*i + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from yqydwwdwvvvmd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 13366386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -46.7 in -3, 0.4, 2\/13, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**7\/8820 - y**6\/1260 + y**4\/24 + 7*y**2. Let x(w) be the second derivative of g(w). Solve x(o) = 0 for o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttzttttttzeett. Give prob of sequence te.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 7*r**2 - r + 17. Suppose u - 53 = -46. Calculate f(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a - 3117 = 2103. Suppose 0 = 19*v - a - 32. Calculate the lowest common multiple of v and 296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-175)*(-155)\/62)\/((-40)\/(-21)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -2108  (c) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/8*a**3 - 1\/8*a**4 + 5\/8*a**2 + 0 - 3\/8*a = 0. What is a?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 11*k**2 + k - 9. Let q be f(11). What is the third biggest value in 0.2, q, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**2 - 5*c**2 + 2*c**2 + 1 - 2*c**2 - 1 + (-2 - 2 + 3)*(-1 + 1 - c**2) + 2*c**2 + 0*c**2 + 0*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 11509*l + 28. Let y be p(8). What is y rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 275 + -279. Let p = -0.2 + 1.2. Let v = 1 + p. Which is the third biggest value?  (a) v  (b) 1\/8  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1989 - -1994. Solve -j + 2*m = 3 - 12, -m - 27 = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 140 and 98.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 28*l**3 + 2*l**2 - 1. Let x be a(1). Suppose -2*n - 166 = 5*k - 48, 2*k - 5*n = -53. Let o = k + x. Solve -2*p + 4*g + 5 = 3*p, o*g + 2 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(17) + 2 + -1 - sqrt(204)\/sqrt(192)))*-1*-5.\nAnswer: -20 + 15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 15 - -1) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*u**5 + 11*u**5 + 1400*u**2 - 23 + 2*u**6 - 1398*u**2 wrt u?\nAnswer: 240*u**3 + 1920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 477?  (a) 1\/5  (b) -4  (c) 30  (d) 0.0483  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7850 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 68 = i. Let h be i\/(-110) - 1\/5. Let n be 1\/(-2)*0 + 16. Solve -16 + 2 = v - 3*c, -v - 3*c + n = h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 403219234 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -170536394 divided by 13733?\nAnswer: -12418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 6) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 95 + -9 + -70 - (-2 + -17)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10338401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28, 78, 76, -8, -204?\n\"Answer: -5*f**3 + 4*f**2 + 73*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -101110010010001101111 (base 2) in base 6?\nAnswer: -52301315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1887 and 1133754.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 13*l**2 + 1. Is 7 a factor of z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-13 + 5 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (-2)\/1)*19. Suppose 0 = -5*r + 3*m - 68, 5*m + 0*m = 4*r + j. Let o = -8 - r. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1494 = -189*z + 49*z - 374 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2860*n + 1159 + 1109 = -1522*n - 1446*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*j**2*k**3 + 10*j**2 + 125*k**3 with respect to j.\nAnswer: 30*j*k**3 + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -2. Suppose -m - 3*h + 0 = -6, u*m = h - 2. Suppose m = 2*l - 10 - 0. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1965495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130730 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 511785 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(42)\/sqrt(6) - sqrt(7))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1016465167 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 2:20 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 + 201000?\nAnswer: 200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*h = 15. Let u(v) = 2*v**3 + 218*v**2 - 3444*v + 3. Let c be u(-123). Sort c, h, 29 in decreasing order.\nAnswer: 29, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-21))\/((-6414)\/(-14966)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*i*n**3 - 2*i*n**2 + 8*i*n - 35850*i - 831978*n**3 - n**2 wrt i?\nAnswer: 2*n**3 - 2*n**2 + 8*n - 35850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3862899908 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6467 - 1502*k - 6467 - 3*k + k + 3*k - k + 1 - 1 + (-3 + 2 + 2)*(-4*k + 0*k + 3*k) - 3 - 2*k + 3 + 6*k - 41 + 41 to q*k + f and give q.\nAnswer: -1499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 178915947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/27, -6, -2405, 367?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 289.3 + 1457.7. Let k = o + -1745.969. What is k rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4769 times -30204?\nAnswer: -144042876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 2*q**2 + q - 4. Determine j(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 7:12 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {g: 3, j: 1, p: 2, q: 2, b: 1, l: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 - 534*x**2 + 13971*x + 880. Calculate z(-291).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 10 = -g, 2*g - 6*g + 2*i - 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -13. What is the smallest common multiple of j and ((-3)\/5)\/((-2)\/30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m**3 + m**2 + 3*m - 1. Let h(b) = b**2 - b - 1. Let q(r) = 3*h(r) + j(r). Let t = 18971 - 18974. What is the remainder when q(t) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5*g = 63, -3*g + 3 = -2*l + 26. What is the greatest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k**2 + 28 + 3*k**2 - 12*k**2 - 28 - 12*k + 45*k.\nAnswer: k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 8:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -352, -38, 276, 590?\n\"Answer: 314*c - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(7\/((-14)\/(-2))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4*r + 109 = 5*x, x + 2*r = 17. Suppose -p + 10 = -x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 901 is divided by 449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, r: 6, i: 1, m: 5, f: 1}. What is prob of sequence min?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76572 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-36)\/8)\/(-1 - (-14)\/12). Let p(r) = -13*r + 44. Let s be p(5). Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mpmbmmbpm. What is prob of sequence pmb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 8:25 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + -23. Let a be k\/((-3)\/45*-5). Round a to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**7\/210 + 11*l**6\/30 + 17*l**5\/12 + 7*l**4\/4 + 7469*l**2. Suppose n(a) = 0. Calculate a.\nAnswer: -42, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 minus 7935954.485509?\nAnswer: -7935962.485509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/86076 and -15\/70136.\nAnswer: 1893672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 1. Let n(r) = -15*r - 7. Let a(l) = -13*l - 6. Let k(i) = -7*a(i) + 6*n(i). Calculate 6*k(b) - 3*z(b).\nAnswer: 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111, -772, -1867, -3390, -5335, -7696, -10467, -13642?\nAnswer: -17215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16776955169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, r: 2}. Give prob of sequence ccc.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 4, 1, -140\/9, 2012.\nAnswer: -140\/9, 1, 4, 29, 2012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 25*y - 98. Let t(p) = -336*p + 1272. Let k(x) = 2*t(x) + 27*u(x). Give k(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 559 and 471484.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3*u - 3)*(3 + 0 - 5)*(-3 + 1 + 7)*(2 + 2 + 1) to g*u + m and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1022112201110 (base 3) to base 12\nAnswer: -298a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*f - 8 = -125*f, -65 = 3*b - 5*f for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -5*i**3. Let v(f) = -f**3 - 9*f**2 + 5. Let z be v(-9). Let u(h) = 6*h**3. What is z*w(y) + 4*u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37595 is divided by 9377?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-35)\/(-12))\/(-5) + 1\/3. Let v = -2.2 - -2. Let u = -0.01 + -2.99. Which is the nearest to y?  (a) u  (b) 2\/13  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -5*c + 12. Let g be ((-68)\/(-8) - 2)*4. Suppose -5*q - 25 = -2*q - 4*t, 0 = -2*q - 2*t - g. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18865279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/121 in -0.3, 0.3, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29\/3, -0.2, 7\/75, -136.\nAnswer: -136, -0.2, 7\/75, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -13072136446429 + 0.09\nAnswer: -13072136446428.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3268 - -1681. Suppose 5432 = -2*x + 4*r, 4*x - 3*r + 2720 = 3*x. Let g = s - x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -32 - -34. Which is the second biggest value?  (a) u  (b) 1\/3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 289568702 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + 2*sqrt(931))*-3 + -3)**2.\nAnswer: 378*sqrt(19) + 75420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h. Let i(p) = -6*p. Let j be 3 - (0 - (-2 - -1)). Suppose -4*s - 17 = 24*m - 19*m, 5*m + s = -23. Give j*i(f) + m*b(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 83768261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2232 - 3013122?\nAnswer: -3010230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 172*p**3 + 173*p**3 + 165*p**3 - 529*p**3 + 29 to the form o*p**2 + m + l*p + w*p**3 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -23295 divided by -4659\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.715, 0.2, 3\/2, -2\/9?\nAnswer: 0.715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-14689.\nAnswer: 2937.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2d38b0f + 5?\nAnswer: 2d38b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 232178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 - -7255) + (-8 - 80\/(-8)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1001548056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 10 = 2*p. Which is the biggest value?  (a) -1  (b) p  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 66\/36 + (-3)\/(-18) - 2. Suppose 42 = 3*j - 3*k, o*k + 5*k - 80 = -5*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -401, 0.1, 0.5.\nAnswer: -401, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -16 + 8 + -23 + 23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in -6, -3, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 147\/231 + (-3)\/(27\/6)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 217, 1131, 3617, 8461, 16449, 28367, 45001?\n\"Answer: 131*l**3 - 3*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-56))\/(((-1025)\/200)\/(-41))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -54*g**2. Let j(q) = 25*q**2 - 11*q + 40. Let a(l) = -l**2 - l + 4. Let k(y) = -10*a(y) + j(y). Calculate k(s(r)).\nAnswer: 102060*r**4 + 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 228 = 4*o, 0 = 5*u - o - 224 - 79. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 8:13 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 0. Let q = w + -4.31. Let x = q + 0.01. What is the closest to 1 in -4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 188?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928 is divided by 114.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289511 is divided by 7051?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2360*z - 899. Is x(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11110110110000000110110 (base 2) to base 4.\nAnswer: -132312000312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1*i**0)**(-46)\/(i**(1\/8)*i**(3\/2))**(24\/7) assuming i is positive.\nAnswer: i**(-361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(448) + 1 + sqrt(7))**2)*-2.\nAnswer: 34*sqrt(7) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2394)\/105)\/((((-3)\/(-3))\/15)\/((-33)\/(-198)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/3320 - -10603\/23240. Let k(p) be the first derivative of -5\/21*p**6 + 4\/3*p**3 + 19\/14*p**4 - 4 - 4*p**2 + 16\/7*p - t*p**5. Solve k(g) = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7411988*g*j**2 - 4736*g*j + g - 13*j - 2 wrt j.\nAnswer: 14823976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113 a factor of 125997165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02428542208 rounded to 4 dps?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 4*o - 7, 2*p = -2*p - 2*o + 16. Suppose 14 = -u + p*f + 65, -5*f + 11 = u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31839 + 3.27374966.\nAnswer: 31842.27374966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 1465*z**3 + 489*z**3 + 485*z**3 + 488*z**3.\nAnswer: -3*z**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 162\/(-648)*(23 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -76 + -42?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 240*g**4 + 194*g*p**2 + p**2 + 10375*p wrt g?\nAnswer: 960*g**3 + 194*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5099436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, 0, -5.\nAnswer: -71, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 728241 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7)\/21)\/(2\/(-12)). Solve 0*z**k - 2\/3*z**3 + 0 + 2\/3*z**4 + 0*z = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 0. Let w be 2\/o - 265\/15. Let u(p) = 14*p - 3. Let x(a) = -5*a + 1. Let z(k) = w*x(k) - 6*u(k). What is the derivative of z(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1767 (base 8) in base 15?\nAnswer: 47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000079895 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, e: 1, a: 1, n: 2, j: 2}. What is prob of sequence ejn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-268)\/1139 + 855\/(-51).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+1177034\nAnswer: 1177034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1286 is divided by 197?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15 + 24?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 1 - 2 + 2*c + 0*c - c - 4*c**2. Let k(z) = -z**2. Calculate -b(x) + 6*k(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t + t - 5*t + 6 - 6 + 3*t + (-4 - 3 + 5)*(-6*t + 4*t + 0*t) + 0*t + t + t + (1 - 2 + 0)*(1 + 0 + 0)*(4*t - 4*t + t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((r*r**16)\/r)\/r)\/r)\/(r*r\/(r**(-1\/5)*r)*r))**45 assuming r is positive.\nAnswer: r**531","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*w + 207 = -713. Suppose -y + 131 = 3*u, 0 = 24*y - w*y - 20. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29249249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1428318779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 59414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 5*o + 16. Let k = 19 - o. Let t be k\/(3*(-3)\/(-27)). What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1509 - -1602. Calculate the remainder when n is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24 - 11) + -35 + (-1 - -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 3*p - 327 = 0. Let g = p + -32. Suppose -g = -4*k + 171. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 e, and 2 t when four letters picked without replacement from tgettttttgttet?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 416810 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m*m*(m**(2\/25)*m)\/m)\/m)\/m*m*(m*(m**(-7)*m*m)\/m)\/m*((m\/m**10)\/m)\/(m\/((((m\/(m*m\/m**(-2\/13))*m)\/m)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-5549\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - (-6 - (-9 + 14))) + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10612 + -10605. Let p = 130 + -42. What is the remainder when p is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -4, 1\/9, 19, -24\/2671?\nAnswer: -24\/2671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13577 is divided by 847.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2736 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, 4\/27 in decreasing order.\nAnswer: 3, 2, 4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/21549 and 59\/12018465?\nAnswer: 132203115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8540208 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5542946*c**4 + 181*c**2 - 1895*c?\nAnswer: 133030704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12148*x = 141504 - 663868 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69631872?\nAnswer: 2, 3, 149, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*(-4 + (sqrt(325) + -3*(sqrt(325) + sqrt(325) + 0) - sqrt(325)) + -1 + sqrt(325) + 0 + 3)**2*-6.\nAnswer: 1800*sqrt(13) + 146327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 268*x**2 - 861*x + 2. Give l(3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20011, 20258, 20505, 20752, 20999, 21246?\nAnswer: 21493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d + 0*d + 20*d - d - 23*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.05 * 115.0282.\nAnswer: -350.83601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 5*c - 9, -2*c + 3*j - 6 = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.590787 - 810293120.590787. Let c = z - -810293290.9999851. Let k = 175 - c. Round k to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*j - 8254 = -52*j + o, 5*j = -4*o + 41288. List the prime factors of j.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 240\/209687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, u: 5}. What is prob of picking 1 u and 1 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9677573 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2443)\/(-406) + (-124)\/7192?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 1 + sqrt(612) - (5*(sqrt(612) - (0 + sqrt(612))) - sqrt(612)))*2 - 5*-6*((sqrt(612) - 1*sqrt(612))*1 - sqrt(612)))**2.\nAnswer: -3744*sqrt(17) + 413856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 4)*(-2 - 2 + 5)*(3 + 2 - 3)*(43*p + 23 - 23).\nAnswer: -172*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {x: 4, r: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/19182 and -23\/18.\nAnswer: 57546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(216) - (sqrt(216) + -2*sqrt(216)))\/(sqrt(2) + sqrt(2) + 1*sqrt(2)*1) + 0)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -353695*d**2*p**3*q - 2339*d**2 - 32*p**3 wrt q.\nAnswer: -353695*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -19*i**2 - 535*i - 66. What is the smallest common multiple of 262 and b(-28)?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -16b02c1?\nAnswer: 16b02c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*22*(7\/(-2) + 5). Suppose 2*m - 2*k + 7 = v, -5*m + 57 = 3*k. Let p = m + 4. Is 16 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2))**(-46) assuming f is positive.\nAnswer: f**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 96 + -94. Suppose -i = 2*l - s, 8 + 12 = -5*i. Solve 4*g = l + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*o - 11. Let t be ((-3)\/o)\/((-5)\/(-10)). Is (12\/24)\/(t\/(-212)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + -2 + -8 + 7. Is 91 a factor of (20556\/9)\/(u\/(-12)*-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**1*p*p*(p**(2\/7)\/p)\/p*p*(((p\/(p\/(p*p*p*p\/((((p**5*p)\/p)\/p)\/p*p))))\/p)\/p)\/p*p\/(p\/(p**(-2\/3)\/p)))**(-10\/13))**49 assuming p is positive.\nAnswer: p**(4970\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 68 = -4*o, 2*a + 2*a + o = 77. Suppose -8 = 5*k - 28, -t - 5*k = -a. Solve -5*l - 4*p - 17 = 0, 0 = -t*l - 3*l - p - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1928 is divided by 635.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 0 - (-2 - (-3 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/8  (b) 7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 1:06 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 958259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + -3)) + -3)**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 16*n**2 + 2*n + 7. Let u be x(6). Suppose 0*r = -5*r + u. Suppose -3*b + 308 = r. Calculate the greatest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of -26*r**7\/105 + 5*r**4\/24 + 881*r**3\/6 + 4*r**2 - r - 22. Differentiate y(s) wrt s.\nAnswer: -208*s**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*u + 1044, -3*a + 522 = -61*u + 62*u. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16543.\nAnswer: 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16739.\nAnswer: 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -12. Solve n = -5*f + 8, -6*f = 4*n - r*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1352*o**4 - 1789944*o**3 + 592368194*o**2 + 45574728*o + 876488.\nAnswer: 2*(o - 662)**2*(26*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137522, -275068, -412610, -550148, -687682, -825212, -962738?\nAnswer: -1100260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1324a (base 13) to base 14.\nAnswer: -cd56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135 by -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 555*i**3 + 3175*i**2 - 2625*i.\nAnswer: 5*i*(i - 105)*(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - y + 1. Suppose 12 = -4*u, 4*v - 4*u = 17 + 3. Let s be a(v). Let r = -0.01 + -0.09. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 296073182 or 296073183?\nAnswer: 296073182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -107 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-31)\/b**(-7\/9))**(12\/17) assuming b is positive.\nAnswer: b**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -17*d + 70. Let z be 1*2*3\/(-2). Let b be (-2 - z)*(5 - 0). Is b greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13873903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - 13*c + 12. What is the tens digit of v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/7 in 50\/3, -1\/5, -0.3, 0.4, 14\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 16*g - 18. Determine x(-22).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*m + 23 - 14*m - 21 as s + i*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-11)\/(-2)*-2*1. Let o(f) = -3*f**2 + 4*f - 4*f**3 + 12 + f**2 - 4. Let g(n) = 7*n**3 + 3*n**2 - 8*n - 15. Let h(w) = i*o(w) - 6*g(w). Calculate h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/15 + 5988*c + 59107312\/15.\nAnswer: 2*(c + 668)*(c + 44242)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + (17 - (-11 + (47 - 23)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:37 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1879, 1890, 1915, 1960, 2031?\n\"Answer: k**3 + k**2 + k + 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 2:34 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*x**2*y*z**3 - x**2*z**3 - x**2 + 9*x*z - 11*y*z**3 wrt x.\nAnswer: 14*y*z**3 - 2*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -20*p + 38*p - 16*p + 5. Let m(b) = 6*b + 16. Let u(i) = -7*h(i) + 2*m(i). Let v(y) = y + 2. Determine 4*u(a) + 6*v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 584 = 8. Let d = u + 166. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*-1*(-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 5*k + 506 = 0, k = -x - x + 1012. Suppose 0 = -4*b - 20, 0*a - 2*b = 3*a + 868. Let h = x + a. Round h to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/180 and -109\/2083680.\nAnswer: 2083680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*t = 4*o - 158*t - 10, -6*t = 5*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 3, -4, -25540 in decreasing order.\nAnswer: 3, -2, -4, -5, -25540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4230 + -3718. Calculate the highest common divisor of q and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - 6*c**2 + 6*c + 10. List the prime factors of a(7).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -54*g - 6 + 53*g + 1. Suppose 8 = 3*d + 5*j, -j - 4 = -5*j. Let v(p) = -3*p + 1. Let o be v(d). Let y(w) = w + 4. Determine o*z(r) - 3*y(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.888 + 18.\nAnswer: 12.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 7*l**2 - l - 11. Let h be k(-7). Let a(g) = -2*g - 3. Calculate a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 424 + -417. Solve m - 8 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69 + 75. Suppose -3*t - 14 = -4*h, 2*h + 4 = -t + y. Suppose -3*l = h*l - 4445. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 10\/12)\/((-46)\/(-368)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 2*g = 154, 310*u + 301*u = 606*u + 4*g + 160 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 + -35. Calculate the lowest common multiple of t and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1333875 is divided by 60630.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*32.39878.\nAnswer: 97.19634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - -1) + (1 - (-6 + 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -21*t**2 - 261*t - 646. What is s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2009118 divided by 6\nAnswer: -334853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8) + 42\/(-112).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*i - 4*i**3 - 107*i + 5*i**3 - 336*i.\nAnswer: i**3 - 538*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*1*(-2)\/(-3). Solve -z - 3 + 2 = -q, k = -2*z + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87977621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1868 by 2.\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 435769*z**2 - 16*z + 43. Let h be a(7). Suppose -6*u - 4732612 = -h. What is u rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 + 17 + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1859147\/87834 - 1\/14639. What is the common denominator of x and 5\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 45082 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2948257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + 4*j - 7. What is a(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q = 36*q + 10*q + 81. What is the nearest to 1\/4 in -1, -5\/2, -12, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 2:56 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of x**6\/600 + 159*x**5\/100 + 476*x**4 + 28322*x**3\/15 + 5534*x**2. Factor o(c).\nAnswer: (c + 1)*(c + 238)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**2 - 203*q + 1040. Calculate j(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -665*w**4 - 1054 wrt w.\nAnswer: -2660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 26*i - 48*i + 2 - 1. Let g be n(-1). Suppose 0 = f + 4*a - g, -2*f + a - 92 = -6*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23953*z**3 - 303*z - 12.\nAnswer: -143718*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4893 + 5*r + 2450 + 2443.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00017060041 rounded to 6 decimal places?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2 + 88*m - 540.\nAnswer: 4*(m - 5)*(m + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114\/(-19) - (-3 - -4)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/5 - 0)\/((-47)\/235). Suppose w*x = 80 + 166. What is the remainder when x is divided by 250\/9 + (-4)\/(-18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46692106 to the nearest integer?\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*n**2 + 46*n**6 - 54*n**6 - 13*n**2 wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirty-two ninths of a hour?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 2  (c) -3.5  (d) -94  (e) -5  (f) -3  (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 270976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2*(sqrt(605) - 2*sqrt(605)))**2*5 + sqrt(720) + sqrt(720) + 0 + -5 + (sqrt(720) + sqrt(720) + -1 + sqrt(720))**2 + 5.\nAnswer: -48*sqrt(5) + 18585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/90*((-4)\/(-14))\/1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**2 - 5*n + 4. Let r(z) = -3*z**2 + 6*z - 5. Let c(p) = 4*r(p) + 5*x(p). Let h be c(1). Solve -h*o + 1 = i, -3*o - o + 8 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82093 times -11?\nAnswer: -903023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 21*m - 58. Let c be n(17). Is (5\/c)\/(-4 + (-25467)\/(-6366)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113.9*20.\nAnswer: -2278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 360 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-8) + (-11)\/4*3. Find the common denominator of 43\/262 and (o - -14) + 468\/(-64).\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -255, 1\/4, -3, -6.471 in increasing order.\nAnswer: -255, -6.471, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 3*c - c + 7 + 5 + 1.\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000125 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000596 rounded to six decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -19*j + 4*j + 779230. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -t**4\/12 + t**3\/6 + 333*t**2\/2 + 15*t. What is the tens digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120.8 minus -29746?\nAnswer: 29625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-6)*((-2)\/(-27) - (-424)\/(-5724)). Factor -2\/3*d**3 - 1\/9*d**4 - 8\/9*d + 5\/3*d**2 + y.\nAnswer: -d*(d - 1)**2*(d + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 - 0.5. Let u(a) = a**2 + 33*a + 242. Let j be u(-22). Sort j, 2, l.\nAnswer: l, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 3, -7, -18, -0.6, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 10 = 5*m + 1, 0 = -2*n - 5*m - 7. Suppose n*h = 2*z + 34, -4 = 3*z - 1. Calculate the remainder when h is divided by (-3)\/5*(-11 + 3 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-686)\/(-196))\/((-14)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -84 + z**2 - 34 + 11 + 4 - 15*z. What is s(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1490, 1491, 1494, 1499, 1506, 1515?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/(-252) - 944\/(-192). Sort w, -0.4, -4, -1, -57 in ascending order.\nAnswer: -57, -4, -1, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 2\/2525979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2278 at most 2277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 4*t + 6. Let c(j) = j**2 + j + 2. Calculate the remainder when 29 is divided by c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255 - 246 + 996 - 253 - 242 - 8*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -1\/3, 1, 17784.\nAnswer: -12, -1\/3, 1, 17784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 5, 22, -1, 80.\nAnswer: -6, -1, 5, 22, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, p: 7, b: 1}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 6 = 31*h - 33*h, -5*d - 8 = 3*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -134092, -133612, -132806, -131668, -130192, -128372, -126202?\n\"Answer: p**3 + 157*p**2 + 2*p - 134252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 5817760*w. Let y(m) = 2*m. Calculate y(i(s)).\nAnswer: 4*s**2 + 11635520*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 36*o + 61. Let d(i) = 41*i + 62. Let n be 0 + 7\/(-14)*12. Let y(z) = n*x(z) + 5*d(z). What is the first derivative of y(c) wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 477*m = 120*m + 16065 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 562910 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 14473640?\nAnswer: -14473639.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 - 16 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34242 (base 7) to base 9.\nAnswer: -12840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7045000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000015963 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vcbcucbcncyvuncby. What is prob of picking 2 c, 1 u, and 1 b?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, y: 4, z: 1, r: 2}. What is prob of sequence er?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 2*c + 1. Let l(i) = -3*i**2 - 4*i - 70. Let t(d) = -l(d) - 4*v(d). Let f be t(12). What is the greatest common divisor of f and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.7 - -10. Round d to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/5 - 1212\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -245, -5, 4, -1, 28, 3 in ascending order.\nAnswer: -245, -5, -1, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2748920 or -2748918?\nAnswer: -2748920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(-1*sqrt(10)))\/(5*sqrt(180)).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 87*f + 48*f**2 - 42*f - 44*f**2 to the form z*f + j + s*f**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -1\/6*o**6 + 0*o + 0*o**4 - 2\/5*o**5 + 2\/3*o**3 - 4 + 1\/2*o**2. Suppose f(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 - 17. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-2\/9)*p**(-1))\/(p**(-1\/3)*p)**37)**(2\/17))**(-48) assuming p is positive.\nAnswer: p**(7456\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2676 = -w + v + 1292, -v = -10*w + 39707. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 384, 0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-480)\/180 + (-5582)\/(-3) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1319, -1326, -1331, -1334, -1335, -1334?\n\"Answer: z**2 - 10*z - 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c - 10. Let d(i) = i**3 + 5*i**2 + 6*i + 16. Let l be d(-4). Determine v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z. Let c be ((-1)\/(0 + -1))\/(8\/16). Let x(w) be the third derivative of -1\/8*w**4 + 0*w**3 + 2*w**c + 0 + 0*w. What is u(x(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 79091.52 nanometers?\nAnswer: 0.007909152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 20320?\nAnswer: 20313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 263*x + 535. What is the remainder when 19 is divided by j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lpo when three letters picked without replacement from {q: 1, l: 1, p: 3, g: 3, o: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 + 17. Let l be p\/((-4)\/(-24)) - 3. Suppose -l*b = -4*b + 28. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (204\/105 - 2)\/(1\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 5*h - 6 + 12.\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*a + 11 = 0, -4*a + 8*a - 46 = -2*k. Let n = k + -6. What is the lowest common multiple of 92 and n?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 3*z**5\/5 + 513*z**4\/5 - 534*z**3\/5 - 3096*z**2\/5 = 0.\nAnswer: -172, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69261 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 15 - (-67 + 62).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3628 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = p - 4, -3*p = -3*o - 0*o - 30. Suppose 4*g + 11 = -2*q + p*g, 3*g = -2*q - 5. Suppose -3*v - 7 = -2*r, -3*r - 3 = -3*v - 6. Sort q, v, 3.\nAnswer: v, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(7\/2))**20)**(-13\/4) assuming r is positive.\nAnswer: r**(-455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -412, 4, -184, 0 in decreasing order.\nAnswer: 4, 0, -4, -184, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j + 63. Let y be n(-29). Suppose y*d + 10 = 4*l, 2*d - 2*l + 2 + 4 = 0. What is the hundreds digit of (d - (-614 - 2))*2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 6*f - 15 = 0, -190*s - 4*f = -189*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 8*t - 42. Let a be x(-21). Solve 0 = -235*i + a*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - b**2 - 1. Let s(d) = -2*d**3 + 4*d**2 + 3. Suppose 0*t - t - 20 = 0. Let r be t\/6*(-12)\/10. Calculate r*j(o) + s(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/20*-8 + -6 + 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -2*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/7 + 2829*m\/7 + 14220\/7.\nAnswer: -3*(m - 948)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/1775 + 49718\/15975. Sort d, 2\/11, -0.5, 0.5 in decreasing order.\nAnswer: d, 0.5, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*p + 85 = 9, -5*p = 4*k - 152. Suppose -k*z = -15*z - 3910. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1351 + 1392. Calculate the remainder when 1515 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 192?  (a) 2  (b) -2\/9  (c) 1523.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -832*m**4 + 13*m**2 - 23*m**2 + 1168 + 10*m**2 - 476*m**4 wrt m?\nAnswer: -5232*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 233 divide 27810414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -6*o - 37. Let c be q(-7). Let a be (-1 + 1)*((-5)\/2)\/c. Solve a = 4*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 204 + -199. Find the second derivative of -290 + 143 - 14*r**i + 27*r + 147 wrt r.\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -0.6. Let d = 0.19 + 0.21. Which is the closest to 4?  (a) d  (b) w  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/1)\/1*(-32)\/2240*-56.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 34*h = 87 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1782 - 10.1782. What is the third biggest value in 18, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 64 + -60. Let o = 12.9 + -13. Let s be 2*-1 - 34\/(-14). Which is the second smallest value?  (a) o  (b) s  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3774817*o - 49197 = -3775346*o for o.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2602 + 5?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184228 is divided by 4847.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = v - 2, -3*v + 10 = 2*v - 4*c. Let n(i) be the first derivative of -1\/3*i**3 + 2 + 0*i + 1\/2*i**4 + 0*i**v. Find the third derivative of n(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*r + 28 = 0, 10*k - 5*k - 2*r = 140. Suppose -2*l + k = -22. Suppose 6*c = c + l. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -1\/2, 0.1, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -403, -401, -399, -397?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 531.430804 and 3?\nAnswer: 528.430804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 3*h)*(3 + 2 - 3) + 4*h - 4*h - h - 4 + 4 + 2*h - 3*h - 1 + 1 + (4*h + 3*h - 5*h)*(-4 + 4 + 2) to the form d*h + w and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-90))\/((-15)\/100)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4573269081 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.0980207 to three dps.\nAnswer: 23.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4588 - 4587.991739. What is t rounded to four decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6131776.100063 + -6131784. Let d = -17.2 - -9.3. Let k = d - l. What is k rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 219 - 486. Suppose 211*x = 224*x + 1677. Let r = x - f. List the prime factors of r.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -110 + 32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + i**2 - i + 5. Let l be g(0). Suppose 2*n - l*n + 555 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 464\nAnswer: 1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 350*j + 4751 - 18051 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7)*b\/b**8)\/((((b\/b**(-4))\/b)\/b)\/b*b*b**(-1\/4)) assuming b is positive.\nAnswer: b**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -476 - 93 + m**3 - 242 + 3957*m**4 + 187 - 3915*m**4 wrt m.\nAnswer: 168*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1010659647211 and 2.\nAnswer: -1010659647209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -29 + -2*(-1)\/2. Let q = 32 + a. Suppose 0 = 2*h + 5*u + 31, -6*u - 21 = 2*h - 3*u. Sort 5, h, q.\nAnswer: h, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/73435 and -49\/1612.\nAnswer: 118377220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -1\/40  (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 5)*(-202 + 48*f**2 + 100 - f**4 + 104).\nAnswer: -2*f**4 + 96*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 276978 and 32227?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 + 5264*r + 5263.\nAnswer: (r + 1)*(r + 5263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7201?\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*v + 35 + 145. Suppose -9*f + v = -8*f. Calculate the remainder when 27 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(125) + -1 + -4) - (sqrt(125) - (3 + (-1 + sqrt(125) + sqrt(125) - sqrt(125))) - (4 + sqrt(125) + 1))) + 5)**2*5.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 k, and 1 q when three letters picked without replacement from {q: 1, j: 1, t: 2, k: 1, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -z**4\/4 - 2*z - 6. What is the first derivative of u(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 479 + -301. Solve -t*f = -171*f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 - -9. Let x be t\/(-28) + 2\/(-8). What is the third smallest value in -0.4, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39\/2 + 20. Let n = g + -1. What is the biggest value in n, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.08 or 0.7391?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - w - 191 = -2*q, 4*q - w = 415. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.266 - 0.2445. Let s = -0.021498654 + v. Round s to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 790981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-153) - (-14)\/119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of n**4\/4 - 8*n**3 - 12*n**2 + 13*n - 196. What is the least common multiple of 18 and o(25)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 422 a factor of 443522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12518*i**3*q + 5*i**3 + 2*i**2*q - 3*i*q + 260930*i with respect to q.\nAnswer: 12518*i**3 + 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.111 + -39.011. Let v = u + -6.1. Let i = 44.9999959 + v. Round i to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 2 + -1 + 2 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 - 1)*(-2*p + 3*p + 2*p) + p + 0*p - 3*p + (-4 + 2*p + 4)*(1 + 1 + 0) - 4*p + 2*p + p - 466*p - 898 + 898.\nAnswer: -471*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - d + 0)*(d - d + d) + (-77*d + 68*d + 57*d)*(5*d - 3*d + 4*d) in the form n*d**2 + w + g*d and give n.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y**3 + 3863*y - 3863*y + 6*y**3 + 20*y**3.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3493 + 4\/(-12)*21 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2512215 (base 6) in base 3?\nAnswer: -20210211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = 5*u - t, 24*u - 25*u - t + 17 = 0. Solve 12*f + 10 = u*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1729*j + 1729*j + 33*j**2.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j + 3. Let z(a) = 5*a + 8. Let w = -237 - -229. Let o(c) = w*k(c) + 3*z(c). Let i(x) = 2*x**2 - 12*x. Determine i(o(m)).\nAnswer: 2*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**2 + 6327776*j - 6327774 = 0.\nAnswer: 1, 3163887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/2 + (-46)\/(-4). Let y(d) = -2*d + 28. Let i be y(13). What is the units digit of 9\/l + i\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -261322 or -260641?\nAnswer: -260641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 < 260226845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, -16\/7, 3\/2024, -0.2?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0042283 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7121389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3075556 and 7.9.\nAnswer: -24296892.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 5*l = -555000. Round l to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a + 3*a**2 - 2 + 2*a**2 - 6*a**2. Calculate d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1826 by -1826.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1030 and 92558.5?\nAnswer: 93588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1164976 and 3536?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 19412315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 253062 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 136 + 134 = -5*g, 5*b = -g - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11010110000111110111 (base 2) to base 9.\nAnswer: -1576066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5*n + 12. Let o(v) = v + 1. Let h(f) = d(f) - 3*o(f). Calculate h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 + 65. Suppose 14 + 1 = j*a. Suppose -2*v + 15 = a*v. Sort v, -4, 1 in decreasing order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + -14 + (-72)\/30*(0 + (-28)\/(-6))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 37.3 * 0.5.\nAnswer: 18.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzyyytytttztzyyyyttz. What is prob of picking 1 t and 1 y?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8793.2254 + 0.2254. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 456324 and 1221.\nAnswer: 16883988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*a + 7*m - 4*m = -62*a + 8, -7*a + 86 = -4*m - 0*m for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79625 is divided by 732?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 - 247475*l**2.\nAnswer: 5*l**2*(l - 49495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.051 and -8.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2 = -o, 5*n + 0*n = o - 14. Solve -o = j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8223898 + 2*c**3 - 8223898.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 7*o**2 - 2*o - 4. Let m(u) be the third derivative of -7*u**5\/15 + u**4\/3 + 17*u**3\/6 + 10490*u**2. Calculate 9*a(z) + 2*m(z).\nAnswer: 7*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66)\/(-54))\/(44*11\/132)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-45)\/40 - -4 - 3\/1. Which is the smallest value?  (a) 7  (b) l  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, x: 6, o: 6, r: 1, w: 1}. Give prob of sequence xxor.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, -7, -28, -47, -58?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 493*k + 126*k + 1 - 2 + 174*k.\nAnswer: 793*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87455\/11 - -7951. Let i = 14 - -4. Let c = i - 35\/2. What is the third biggest value in c, 1, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -28*q**2 - 197*q - 65. Let t(y) = 7*y**2 + 51*y + 16. Let w(f) = 2*l(f) + 9*t(f). Give w(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o - 12. Let v be r(10). Let q(s) = 3438*s**2 - 5*s + 8. Let b be q(v). Round b to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2 or 5847?\nAnswer: 5847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1410 divide 1423753931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-10*9\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 - 19. Suppose 3*y = 4*c + 148, 43 = -4*y - 5*c + 261. Calculate the smallest common multiple of t and y.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f**3*h**2 - 4*f**3 - 9*f**2*s**2 - f*h**2*s**2 + 8*f*h**2 - 29*f*h wrt f.\nAnswer: 42*f*h**2 - 24*f - 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7201, -3, 4 in decreasing order.\nAnswer: 4, -2, -3, -7201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -37 - -1144?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5368559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*u - 100 - 4*u - 8*u - 8*u to the form y + a*u and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17198, 34321, 51444, 68567, 85690, 102813?\nAnswer: 119936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -287 - -28631.10843033?\nAnswer: 28344.10843033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 72679619 to the power of 1\/2, to the nearest integer?\nAnswer: 8525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d - 8. Let m be o(5). Suppose -2*f = -4*f - i - 11, m*f = 4*i + 14. Is 9 a factor of f\/(-7) - (-414)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7131261 and 20139?\nAnswer: 349431789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 11. Let y(b) = 107 - 210 + 106 - b**3 - 3*b**2. What is y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021102101 (base 3) in base 7?\nAnswer: -244354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + 3*t**2 + 8*t + 10. Let i be w(-4). What is the highest common factor of i and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.182 - 2.182. Let u be 1 - 5 - ((-1072)\/64 - -12). Let m = -2 - -3. Which is the closest to 0?  (a) m  (b) j  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 76 = 30. Let y = a + 56. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**5\/60 + 7*r**4\/24 + 7*r**3\/6 - r**2. Suppose -n - 29 = -2*n. Suppose 4*m + 5*p + 35 = -5, -p - n = 5*m. Calculate x(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 16 + -31c086?\nAnswer: -31c070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 2. Let w be m(-2). Let a(n) = -n + 5*n**3 - n - 1 + w*n**3 - n**2. Suppose -2 = 5*i + 3*s, i + 5*s - 1 = 3. Determine a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-17)\/(-5) + -4 + (-72)\/(-20). Let l be (-1)\/i*(-14 - -5). Solve 3*y + 13 = -k, 5 = 2*y - 2*k + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from viyveqvqeqqveev.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 344*u + 3254 = 19607 + 14301 + 12346 for u.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1 - 12639*i - 2*i**2 + 12646*i + 6 + 4*i**3. Let k(y) = -3*y**3 + 2*y**2 - 6*y - 6. Determine 6*d(x) + 7*k(x).\nAnswer: 3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -31*w**2 + 171*w - 104. Let c be k(4). Solve -c*j = -44*j - 360 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-14))\/1*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 12146  (b) -2.4  (c) 1\/3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3620?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffzffefzeffff?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/12 + 7*h**3\/6 - 3*h**2 + 17*h\/6 - 11\/12.\nAnswer: -(h - 11)*(h - 1)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9870 or 9874?\nAnswer: 9870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18, 36, 56, 78, 102, 128?\n\"Answer: n**2 + 15*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-10))\/(2 + (-19)\/10). Let n(f) = 4*f - 22. Let d be n(z). What is the second derivative of -d*m - 24*m + m + 21*m**2 wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5*c - 852 = -7*v, -3*v - 2*c + 639 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**6\/m)\/m)\/(m\/(m**14\/m))*m**(-16)*m\/(m**(2\/37)\/m))**(9\/8) assuming m is positive.\nAnswer: m**(81\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6966\/7 + 995. Let u(d) = -d**2 - 5*d - 4. Let k be u(-5). Which is the third biggest value?  (a) -0.5  (b) m  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 5*t - 10, 3*t - 8 = -l - 0. Let u(r) = r**2 - 2*r - 6. Let m be u(l). Suppose -5*o = -4*g + 57, -o = -g + 7 + 6. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.072 + -2.928. Which is the second smallest value?  (a) -1  (b) -8\/7  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1878 + 1888. Calculate the remainder when 2345 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1557 + 13076. What are the prime factors of y?\nAnswer: 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 0.17, 3\/4, 168, -0.4 in decreasing order.\nAnswer: 168, 3\/4, 0.17, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 37 + 18*b - 37 in the form j + h*b and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 + 20*g - 24.\nAnswer: 4*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8128 = -6*q + 2*q - 3*i, -2*q - 5*i + 4064 = 0. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6656\/761 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12824671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**2 - 16*l + 24. Let g be d(3). What is the greatest common divisor of 48 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*1*-4*(-20)\/(-480)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130973 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: Which is the closest to 1\/3?  (a) 0.1  (b) 0.5  (c) 5  (d) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 63\/(-33)) + (-40)\/((-480)\/24).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 + 31 = -18*w. What are the prime factors of 1043 + (w - -6)*2?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a1a64 (base 15) to base 9.\nAnswer: 860254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -4\/9, 6 in ascending order.\nAnswer: -4\/9, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j + 15. Let r be v(-11). Let d = -7 - r. Which is the closest to 1?  (a) 0.2  (b) d  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 169172432 and 32533160.\nAnswer: 845862160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, k: 1, n: 1, l: 2, m: 1}. Give prob of sequence kng.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 306509.438 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:27 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 6:18 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + -41 + (-124)\/(-14)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/4*(-114)\/(-684)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 8.5. What is the nearest to -2\/3 in 2\/3, 1.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 8*a**2. Let b(c) be the first derivative of -765*c**2\/2 - 290. Determine w(b(m)).\nAnswer: 4681800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 654*f**6 + 178*f**6 + f - 12*f**4 - 3*f + 12*f**4 + 379*f**2 wrt f.\nAnswer: 99840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 17. Let g(u) = u + 1. Let q(b) = -3*b - 7. Calculate l*g(w) + q(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ejn when three letters picked without replacement from jcccnzenzccjecc?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -143 - 1ba7?\nAnswer: -1d0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 53657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 13*z**2 - 5 - 10*z**2)*(-4 + 6*z + 4).\nAnswer: 18*z**3 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 8:04 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 20*v**2 - 3012*v + 1800 = 0.\nAnswer: 3\/5, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(20)\/(sqrt(10)*1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 17*b - 23. Let j(t) = -8*t - 11. Let d(w) = -6*f(w) + 13*j(w). Let m be d(-5). Suppose 11*u - m = 6*u. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**25\/h)**37\/(h**(-1\/6))**(16\/5) assuming h is positive.\nAnswer: h**(13328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-2)*(-324)\/(-90))\/((-13)\/117*-18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15d30ea + d?\nAnswer: 15d3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.745217 less than 0.06758?\nAnswer: -4.677637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -48*s + 21*s - 41*s. Determine p(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 8:16 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.55124 + -0.14676. What is i rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2564*k + 861*k - 8053 = -40410 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 51*o + 303. Let y(k) = -14*k**2 - 74*k - 26. Let c be y(-5). Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 1)*(-4*v + 4*v - v) - 70 + 70 + 304*v - 51*v.\nAnswer: 251*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8344*z + 10 = 8339*z, -11*z = -2*t - 6*z + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**4\/2 - 20889*h**3 + 139910199*h**2\/2 + 19470242052*h - 19540176264 = 0. What is h?\nAnswer: -259, 1, 7092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b + 5. Suppose -3*t - 2 = -2*c - 0*c, t + 2*c - 10 = 0. Suppose -2 = -x + t. Suppose -x*g = -g - 12. Give j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32410*b**3*p**4 - 2*b**3 - b**2*p**5 + b**2 + 214*p**2 wrt p.\nAnswer: -777840*b**3*p - 60*b**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -883 - -9718\/11. What is the common denominator of -25\/482 and i?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -150776804\/1703 + 88536. Let f = 2930\/202657 + u. What is the biggest value in 4, f, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20\/(-40) - (-183)\/18. Is t != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-30)*4*3\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 53288 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -4*i - 0*i + 45, -24 = -i + 3*w. Solve 0 = 2*x + v - 9, 2*x - v - i = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + (2 + sqrt(325))**2).\nAnswer: -996 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7249*a + 2186.\nAnswer: -7249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1497950, 1497947, 1497944?\n\"Answer: -3*z + 1497953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*q - 13 = 0, -u + q = 5*q + 13. Let o = -109970 + 219941\/2. Which is the third smallest value?  (a) -5  (b) -0.1  (c) u  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 16, 36, 60, 88?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20123550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67440.\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7.08  (b) 0  (c) -0.05  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 147403 + 15234 = 4*g, 0 = -3*g - 3. Let d = -69833 - f. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -133 divided by 730943.\nAnswer: -133\/730943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1093590227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5304*d. Let o(h) = -2*h**2. What is b(o(p))?\nAnswer: -10608*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 867379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 104250659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69354 is divided by 3137.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.353 - 0.503. What is a rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2767 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 93 = 39. Suppose -5*y + a = 4*y. Let g = -52 + 56. Solve g*p = -5*t - y, -t = -3*p + 2*t - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16985 + -17314.65. What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*f**3*q**3*r*y**2 + 4*f**3*r**2*y**2 + 4011*f**3*y - f**2*q**3*y**2 + f**2*r*y**2 + 4191*f*q**3*r**2 wrt r?\nAnswer: 8*f**3*y**2 + 8382*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 24 = -4. Suppose 2*j + 0 = h. Find the third derivative of 2*x**4 - x**j + x**4 + 0*x**2 - x**2 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5262869.255 - -8366.\nAnswer: -5254503.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*g + 24 = -22 - 386. Solve -14 = -17*j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1378\/7 + 197. What is the nearest to 2 in n, 0.07, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.16 - -12.16. What is the nearest to 2\/9 in 24\/7, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2424 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 1297?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from okhphhkkpuhhohhouehh. Give prob of sequence pk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0221 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -167c - -18560?\nAnswer: 16ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(24\/(-2))*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3466601773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1)**(7\/4)*d**(-6)\/(d*d**(-2\/19)*d) assuming d is positive.\nAnswer: d**(-467\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -301.0452 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*j + 2*j - 40 = 0, -72 = 5*w + 2*j. Let t = 24 + w. Let n be t\/(-36) - 129\/(-216). What is the second smallest value in 1, n, -0.5, -7\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x**(2\/3)\/x*x)))\/x**(4\/3) assuming x is positive.\nAnswer: x**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j - 3*j + 3*j. Let h be l(0). Suppose -v - 10 = -3*v. Solve -v*k - 15 + 5 = h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.9 at least as big as 177\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7713 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -98068484 divided by -1181548\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 491*s**2 - 1071473*s + 1071473*s.\nAnswer: 491*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n = 42*n + 124 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1434 >= 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2329?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3242.62nm to kilometers.\nAnswer: 0.00000000324262","meta":{"dup_signals":{},"source":"measurement__conversion_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: Round -0.0000010183557 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 2.1. Let x = 4\/7 - 22\/63. Let h(f) = 2*f**3 - 37*f**2 + 21*f - 49. Let v be h(18). Which is the smallest value?  (a) g  (b) x  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -382, -701, -1020, -1339?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**5 + q**2 + 1. Let k(o) = -11*o**5 - 6*o**2 + 10*o - 6. Let g(t) = -6*c(t) - k(t). Find the second derivative of g(x) wrt x.\nAnswer: 340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 0 + 0)*(0 - 5 + 38 + 4 - 2 - 3 + (0 + 4 - 2)*(0 + 2 - 3) + 3 - 1 - 1).\nAnswer: -62*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxkp when four letters picked without replacement from pkpxkpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3771*m. Let l(h) = -2*h**2. Give j(l(k)).\nAnswer: -7542*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 5*j + 2. Let s be p(-4). Suppose -2*n = -s*n. Let b(x) = x**3 + n*x + 0*x**3 - 4*x + 2 + 3*x**2. Determine b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + 26 + -1 + (9 - 1) + (-57 - -56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2864, 2880, 2908, 2954, 3024?\n\"Answer: t**3 + 9*t + 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**2 - 2 - 4\/3*z**3 + 0*z. What is the second derivative of j(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*m - 8 = -17*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**2 + 37*y - 77. Let o be c(2). Let u(x) be the first derivative of 0*x**4 + 3*x + 3\/5*x**o - 2*x**3 + 10 + 0*x**2. Solve u(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 232837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5764 = -444*z + 2003*z - 30093 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 133578*a**5*i**2 + 3*a**3*i**3 - a*i**2 + a*i + 652*a + 8*i**3 wrt a?\nAnswer: 2671560*a**3*i**2 + 18*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 6*h - 3. What is the remainder when x(-5) is divided by ((-288)\/252)\/((-2)\/35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27 + -22)*(868\/(-4410))\/31\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 divided by -17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*u + 3. Suppose -4*p = f - 6*f + 69, -u*p = -3*f + 42. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 38 - 95 = 0. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -1. Let l(w) = -23*w + 1. Let o be l(k). What is the common denominator of 103\/o + 6\/(-33) and -49\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*p + 12*p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kav when three letters picked without replacement from {v: 1, k: 1, a: 1, m: 1, o: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 315 - 186. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.466*-0.13.\nAnswer: 0.97058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 259 is divided by 128.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/4)\/(4 + 15\/(-6)). Suppose -y + 3\/2*r**2 + 0*r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -374, -379, -386, -395?\n\"Answer: -r**2 - 2*r - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**3 + 7709420*a**2 - 15418855*a + 7709430 = 0.\nAnswer: -1541886, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**2\/8 + 12749007*m\/8 = 0.\nAnswer: 0, 12749007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32\/2833 - 373796\/14165. Suppose -5*r = -4*u + 151, -2 = u - 6. Which is greater: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 112*o - 478. Calculate the smallest common multiple of 8 and a(6).\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 33*b - 2167. Let d be g(66). Solve a = -3*u + d, 3*u - 11 + 4 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*2*2\/(-2). Let t = -6 + 8. Solve 0 = 4*h - t*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1383.1 at least as big as -69349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 11*h - 200, -5*g - 3*h - 120 = -346. Solve -243 = -g*b + 126 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -4. Let q(h) = h**2 - 3*h + 4. Let o be 2 + 0 - 3\/(-6)*0. Let r be q(o). Solve l = 4*c + 2*s + 10, 3*c + 0*c + r*s + 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/15 of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 390b9a (base 12) to base 6\nAnswer: 32011514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6, j: 2}. What is prob of picking 3 e and 1 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 194\/4 + 0 + 13\/(-26). Suppose 15 = -3*s + x + 50, -4*s + k = -x. Calculate the greatest common factor of 52 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -5*d**4 + 390*d**3 + 11585*d**2 - 860610*d + 1671840 = 0.\nAnswer: -48, 2, 43, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-61)\/(-7) - 4\/(-14). Let o be -11 + 7 - (0 + -106). Suppose -p - b = -4*b - 42, 3*p = -3*b + o. Calculate the highest common factor of q and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -i**4\/2 - 9*i**2\/2 + 4*i + 112. Let f(y) = -y**3 - 4*y + 2. Determine -5*f(d) + 2*v(d).\nAnswer: d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5, 3, 19, 49, 99?\n\"Answer: h**3 - 2*h**2 + 7*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/((-324)\/15 - -14)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.7  (b) 0.4  (c) 16  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 15*y**2 - 4*y - 3. Let h be z(-2). Let l be (-1)\/(3 - (0 + 2))*-11. Let x be (-6)\/33 - (-145)\/l. What is the greatest common divisor of h and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -45144, -180547, -406212, -722139, -1128328, -1624779?\n\"Answer: -45131*m**2 - 10*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/14)\/(-1)*(-4)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(18))\/sqrt(6) - (-1 + sqrt(432))**2.\nAnswer: -433 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -14. Sort -5, 3, k in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b + 4*b - b + 2 - 2 + b + 0*b + 0*b - b + (-2 + 2 - 2)*(-2*b + 2 - 2) - b - 4*b + 4*b + (9 + 2 + 4)*(-3 - 1 + 6)*(-11*b - 10 + 10).\nAnswer: -326*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -4*t. Let c(v) = 1. Let g(i) = 4*i - 3. Let z be (5\/15)\/(4\/(-12)). Let h(f) = z*g(f) - 3*c(f). What is 3*h(o) - 4*m(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117*p**2 + 30776*p - 30776*p + 19*p**2.\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 162943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26\/5 + -57\/10. Let p = -4863\/244 - 50\/61. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 10*a**2 + 10*a - 7. Let k be (-7 - -11)*18\/8. Let r be q(k). Let l be (-6)\/(-8)*(1 - -3). Solve 8*w + 21 = 3*w - l*v, r = -2*w + 2*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8763\/16 - -544. Find the common denominator of (1\/3*-34)\/(322\/(-69)) and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70*l**4 - 122 wrt l.\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(87*15\/113535)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand x - x - 3*x**2 + (-3 + 176*x - 178*x - 1)*(0 + 0 + x).\nAnswer: -5*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + j = -6. Let m be 370\/15 + j\/3. Let t = 59 - m. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/(-2) + 1\/(-2). Suppose u*a - 304 = -a - 5*q, 2*a = -q + 158. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 264, 1132, 2574, 4584, 7156, 10284?\n\"Answer: -y**3 + 293*y**2 - 4*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26236719*a + 26236698*a + 26236719*a - 78710137*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v**2 + 14*v**2 - 9*v**2 + 13*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 + -38. Let u = -4 + 6. Let n = 1 - u. What is the closest to c in 5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -1702*s + 1749. Let g be f(-20). What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)\/(sqrt(5)*2) + (sqrt(114)\/sqrt(6))**2 + 5 + -1 + (-4*(2*sqrt(152) + sqrt(152)) - sqrt(152))\/sqrt(8))*3.\nAnswer: -75*sqrt(19)\/2 + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 294*c**6 + c**4 - 380*c**6 - 387*c**2 - c**4 + c**3 wrt c.\nAnswer: -10320*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -1. Let f(o) = -o + 17. Let m(a) = f(a) + 3*l(a). Let j be m(6). Solve -2 - j = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*d**2 + 57*d**2 + 91*d**2 - 173*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 34*y**2 + 9*y - 25. Let a be b(2). Let h = a - 104. Solve -v + 6*v = -h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 180 + -148. What is the greatest common factor of c and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-8)*(290\/(-9) + 32))\/((-2)\/282)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 2*u**2 - 3*u + 4. Let o be 1*(10 - (-2)\/(-2)). Let m be d(o). What is the highest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k + 169. Calculate g(13).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from immsammimhissmaom. Give prob of sequence msi.\nAnswer: 21\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from eqzwew.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (4 + 9 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -289\/2*j**4 - 6*j - 1\/40*j**6 - 17\/5*j**5 - 4*j**2 + 0*j**3 + 0. Find v, given that s(v) = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 318464 and 8896?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 300924 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 33444 (base 6) in base 7?\nAnswer: 16504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/19, 472, -56.92?\nAnswer: -56.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(80\/(-400)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-3)*x*x**(-2\/39)\/x*((x\/(x\/(x**(2\/11)*x)*x))\/x)\/(x**(-4\/13)\/x) assuming x is positive.\nAnswer: x**(-1099\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 + -45. Suppose 292 = 3*t + 2*t + c, -114 = -k*t + c. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30011\/6 - 5001. Factor -1\/3*w + 0 - q*w**2 + 5\/6*w**4 + 1\/3*w**3.\nAnswer: w*(w - 1)*(w + 1)*(5*w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658868999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**5 + 1 + 7644*v**2 - 13*v**4 - 7*v**4 - 1 - 7654*v**2 + 25*v**3.\nAnswer: 5*v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -94292 + 186392. What is u rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, y: 2, a: 1, n: 3, q: 1}. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y**2 - 2*y. Give x(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270*b + 277*b - 77 = 0. Calculate the highest common factor of b and 462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 5:27 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 33*l**2 - 2526*l + 1400. Calculate m(76).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18 (base 11) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 21*j**2 + 123*j - 1006. Determine t(8).\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -497 + 1628. Let z = h + -438. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**4\/3 + 36*f**3 - 620*f**2\/3 + 412*f - 240 = 0. Calculate f.\nAnswer: 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xku when three letters picked without replacement from gugkuukiuuxkukuggux.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 10. Factor 4*l**3 - 3*l**3 + 2*l - 4*l**q + l.\nAnswer: -3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by (-2)\/20 + (-41)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -0.2. Let h = 5\/16 + -3\/112. Let n = 5 - 6. Sort p, h, n in decreasing order.\nAnswer: h, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 12:54 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -16*i**3 + 11*i + 11. Let w(f) = f**3 - f - 1. Give -22*w(z) - 2*x(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*c - 330, 5*c - 621 = 5*f - 71. Let x be (-22)\/f + (-74)\/(-5). Solve -x*m = -18*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*b - 50 - 44 = -367 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 331234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 3*g + 42 = 0. Let r = g + 165. Calculate the greatest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56 (base 11) to base 3\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*u + 34 = 3*s - 0*s + 52*u, 5*s - 2*u = -38 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 50 = v - o, 2*v = 2*o - 76. Let w = 103\/3 + v. What is the second smallest value in -5, -0.04, w?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2308986 at most -2308980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 300. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 9*t + 120. Let n be x(0). Suppose -3*h - 4*b = -n, 4*b = -4*h + 5*h - 40. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -1\/6  (b) -4  (c) -4.11  (d) -44  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8066 + 8066.18393. What is z rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -8. What is the greatest common factor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b - 36 = -26. Let k(n) = -2*n**2. What is k(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-21)\/(-14)*20\/3. Let s be (-15)\/o*2\/(-1). What is the units digit of (198\/(-12))\/(s\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + k + (0 - 4 + 2)*(-k - 3 + 3))*((-k - k + k)*(2 - 1 + 1) + 2 - k - 2 + 0*k - k + 3*k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 1:22 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4139*d**2*l*s + 3909*d**2*l + 752*l*s + 6*l - 128*s + 2 wrt d.\nAnswer: 8278*d*l*s + 7818*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14518)\/274 - (44 + -97).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 11:31 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 2*m - 18 = 0, 3*j + 3*m + 6 = -3. Let a be j\/(-2)*-1*45\/(-30). Solve 5*c = 4*l + 35, -a*c + 5*l = 2*c - 40 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187088290 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 121 - 119. Which is the nearest to 1\/5?  (a) -2\/11  (b) -0.4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -1 + 4. Let w(q) = 9*q**2 - 8*q + 6. Let h(k) = -5*k**2 + 4*k - 3. Let z(f) = -7*h(f) - 4*w(f). What is z(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5 + 279*d**4 + 4476*d**3 - 706180*d**2 - 23494464*d + 11923200 = 0 for d.\nAnswer: -72, -46, 1\/2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*m = 34*m - 415. Solve -m*l - 15 = -3*j, 2*l + 8*j + 6 = 5*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10100100100 (base 2) to base 13\nAnswer: -7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101*r - r**2 + 101*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*l - 5 = q, -2*l + 14 = 2*q. Solve 4 = -l*n - 2*r, 3*n - 4*r = -n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0913822 rounded to 3 dps?\nAnswer: 1.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -9. Let x(d) = d**2 + 4*d - 2. Let l be x(-5). Suppose 0 = h + l*h - 2*c - 56, 5 = h - g*c. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y - 2*y + y)*(3*y - 40101 + 40101)*(-1 + y**2 + 1) in the form u*y**3 + z + r*y**4 + j*y + t*y**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 51 - -5351?\nAnswer: 5442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(-3 - -1) - (-8410)\/(-1218)*21. Which is greater: 24 or x?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36608 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) -15  (c) -3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -11. Let f be 18 + 2\/v*(-2 + 8). Suppose 0 = 9*m - f - 23. Solve 9 = m*j - i, 5 = 4*j + 2*i - 5*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30487 - -30486.5. What is the closest to 2\/5 in -8, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -318 + 166. Let s = -155.548663619 - -3.548669719. Let h = s - x. What is h rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13680 and 1189620?\nAnswer: 90411120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 79*q - 2001. Calculate s(-99).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 130421476 and 2780.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -164*r**3 + 3*r**2 + 39*r - 41. What is o(1)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 419\/2110  (b) -5  (c) 1  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*(-4)\/64*80\/15 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -15c0b181?\nAnswer: 15c0b180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/45 and -19\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8920390 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3)*(3*g**2 - 2 + 2)*((-1 - 3 + 2)*(1 - 1 + g) + g + 2 - 2).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 4\/5, 328\/151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 172 and 694493?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**4 + 11*v**3 - 3*v**2 - 16*v + 4.\nAnswer: (v - 1)*(v + 2)**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + 122 - (1 - -111).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191564*x - 191424*x + 382989*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 2*i = 63, -16*l = -16*l + 402*i - 400*i - 38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*i - 26693*g + 5007*i wrt i.\nAnswer: g + 5007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -3.1. Let g = -0.4 + z. Let u = -34\/77 + 8\/11. What is the closest to u in -2, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*d**3 + 22*d**3 - 3*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1528 is divided by 476.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21069784*u**3*w**2*y**3 - 29334*u**2*w**2*y**3 + u**2*y**2 - 11*w**2*y wrt u.\nAnswer: -126418704*w**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -12*g**7 - g**3\/3 + 58. What is the third derivative of f(u) wrt u?\nAnswer: -10080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3125736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -962*c**3*d*t + c**3*d - 96*c**3*t + 29*c**2*t - 15*c*t - 5*d*t + d wrt d.\nAnswer: -962*c**3*t + c**3 - 5*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - a = 8*q - 240, 5*q - 2*a = 300. Solve -12*w = -0*w + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -202*g**2 - 2823*g + 31. Determine n(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14295 - -20188. Calculate the greatest common divisor of o and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(5\/(90\/(-2))*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 693, 1442, 2175, 2892?\n\"Answer: -8*k**2 + 773*k - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 271 - 1?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*m + 8*m**3 + 34*m - 2*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.2 - -2.8. Let o = n - 14.000592. What is o rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**5\/60 - z**4\/3 - z**3\/2 - 966*z**2. What is v(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -0.94, 35, 3\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/6)\/(6\/18*14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15602500*c**5\/7 + 62402100*c**4\/7 - 171659099*c**3\/7 + 93701904*c**2\/7 - 6773*c + 6\/7 = 0 for c.\nAnswer: -6, 1\/3950, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 124633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -349.4 less than -106.77?\nAnswer: 242.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29914 is divided by 935?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -2 + -15 - -2 - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*n + 5 - 1 - 4.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 58.293 - 4.285.\nAnswer: 54.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3652 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1024*-4.\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*222\/270 + 1\/(-9). Differentiate -3*d**4 + 8*d**4 + 3*d**4 + 15 + 4*d**w wrt d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -9 + 0*h - 9 + 8*h. Is y(9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -23.284 and 813.044.\nAnswer: 789.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 60 and 205?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7153326 by -9.\nAnswer: 794814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c**2 + 1. Let t(d) = 11*d**2 - d - 39. Determine 3*r(m) + t(m).\nAnswer: 2*m**2 - m - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 11:18 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -989, -1977, -2973, -3977, -4989, -6009?\n\"Answer: -4*g**2 - 976*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 414.358l?\nAnswer: 414358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 134 and 152894?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26696 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3\/2  (b) 320  (c) 18  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 0.4  (b) -1  (c) 2\/9  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4785*m**2 - 4713.\nAnswer: 9570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -1\/24*v**4 + 0*v - 1\/120*v**5 + 13\/3*v**3 + 8 + 0*v**2. Let i(l) be the third derivative of w(l). Determine i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 2*j - 12 = 0. Suppose -j*k + 4*h = 2*k - 90, 2*h = 3*k - 56. Calculate the least common multiple of k and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 23*g + 158. Let n(k) = k**2 + 8*k + 3. Determine n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 284792978*v**2 + 143196*v + 18.\nAnswer: 2*(11933*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 17, z: 2}. What is prob of picking 1 z and 3 t?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 249568.71 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -86.5?\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = 4*f + 4*t + 18, 17 = -f + 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-31549)\/(-70) + -3*1\/(-10). What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 0.94, 3, 1\/2, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 106704525*w**2 + 73526508 wrt w?\nAnswer: 213409050*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (45\/6 - 1) + (-15)\/10. What is the third derivative of 0*r - 42*r**5 - 9*r**p - r**5 - 3*r**2 + r wrt r?\nAnswer: -3120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z*z**(-18)))\/z*z)\/z)\/z**7 assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1981787 + -1981785. Factor -841\/4 - 899\/4*c - 59\/4*c**w - 1\/4*c**3.\nAnswer: -(c + 1)*(c + 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -154 - 5*b**3 - 3*b**3 + 151 to l*b + p*b**2 + u + n*b**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/(-99))\/(9\/(-486)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18\/389 - -53401\/2334. Let s be (-579)\/408 - (-2 - -2). Let t = 73\/17 + s. Calculate the common denominator of v and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32155891*m**3 + 15*m**2 - 27963*m + 2.\nAnswer: -192935346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2206003507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/8)\/(15\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 119 + -105. Suppose 19*d - 12*d - l = 0. Suppose 4*s + 20 = 0, 2*p + d*s = -s + 369. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 5) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*u - 48 = 53*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396)*-1*-5 + (sqrt(396) - (sqrt(396) + 1 - sqrt(396))*-1))**2 + (sqrt(396) - (1 + 2*sqrt(396) + sqrt(396))) + -4 + 0)*-4.\nAnswer: -57008 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 220921300 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -76, -4, -1\/2, -203, 0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 76 + -19. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**5 + 656315*p**4 + 2406444*p**3 - 875072*p**2 = 0 for p.\nAnswer: -218768, -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 18. Suppose -65 = -13*o + f*o. Suppose 4*t = -t + o. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8.287 less than -1\/981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -2  (c) -7  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1554858654?\nAnswer: 2, 3, 19, 13639111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -709*g**3*p**3 + 2*g**3*p - 19*g**2*p**2 - 3*g**2*p - 3*p**2 wrt p?\nAnswer: -4254*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 3*v = 12. Let f be v\/9 - (-56)\/12. Suppose f*h = -52 + 147. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8 - 2*d - 3*d**2 + 8 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393208461?\nAnswer: 3, 67, 652087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28*x**4 + 23*x**3 + 14*x**2 - 113*x - 3 wrt x.\nAnswer: 336*x**2 + 138*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 63 + 4303?\nAnswer: 4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 - 16. Let c(i) = 374*i - 6786. Let s be c(19). What is the greatest common factor of s and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -737 (base 15) in base 3?\nAnswer: -2020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -442*o + 4855. Let d be z(11). Sort -3, 0.07, d, 0.3 in descending order.\nAnswer: 0.3, 0.07, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 9*d**2 - 36*d + 39. Determine f(-5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/15 - 416*y\/15 - 138\/5.\nAnswer: -2*(y + 1)*(y + 207)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 10. Let v be l(-6). Let o = -1 + v. Let y = 44 + -41. Solve -o*b + 0 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 7*j - 15. Let v be h(-2). Which is the closest to -0.6?  (a) v  (b) -2\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/1275, 5, 14, 0.03, 3, -0.3, 0.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 6 + 2 = 0. What are the prime factors of 348\/18 - k\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-352)\/726 - 4\/22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 652 is divided by 189.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 421, 1746, 3979, 7120, 11169, 16126, 21991?\nAnswer: 28764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(5\/3 + -2). Suppose -3*f = 2*j + 2*j - 14, 0 = -5*f + 10. Suppose v*m - 449 = j*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -236*a = -252*a + 272. Solve -3*d = -a*d - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-21)\/(-6)*-2 - -243. Let l = 235 - j. What is the smallest value in l, -3, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 307136695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*f = -130*f. Solve j - 6*j + 2*j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/22 + 14\/77. Sort -1, 4, x in increasing order.\nAnswer: -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 3*h + 4*g + g, -2*g - 6 = 0. Suppose -3*z = -3*a - 2*a + 37, -4*z + 2*a - 40 = 0. Is z < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591591062 rounded to the nearest 1000000?\nAnswer: 592000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -0.0255  (c) 1\/3  (d) 5\/7  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/((112\/(-8))\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 163 - -44. Suppose d = -o + 1622. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 1082 = 3994. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 519523 divided by 1?\nAnswer: 519523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-9)*g)\/((g*g\/(g\/(g*g\/(g**(-4\/7)*g))))\/g))\/(g**3\/(g\/(g*g\/(g*g*g*g**(-1\/2)*g*g)*g*g))))**13 assuming g is positive.\nAnswer: g**(-2015\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 42 = 3*p - 9, -p + 4 = 0. Solve -12*g + 15 = -y*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + sqrt(190) + (sqrt(190) - -2*sqrt(190) - sqrt(190) - sqrt(190))*-6 + sqrt(190))\/(-1*sqrt(810)) + 3 + -3.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 187 and 314534?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*k - 9*k**3 + 0*k**4 + 3*k + 10*k**3 - k**4 to s + q*k**3 + l*k + v*k**4 + y*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653990 is divided by 2054.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 4*v + 2, -12 = 3*v + v. Let i = 328 - 324. Suppose -3*l + 3*r = -12, -3*l - r = -12 + i. What is the least common multiple of l and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from lhqqqlqhllqhqqqlhlqq.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -6*w**3 - 5*w**2 + 6*w - 3. Determine h(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1537 (base 13) in base 12?\nAnswer: -1954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-48)\/(-2) + (1 + 0)*-2. Sort -1, j, 12, -2 in decreasing order.\nAnswer: j, 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -4*d**5 + 16*d**4 - 4*d**3 - 40*d**2 + 16*d + 32 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -2*c - k, -6*c = -c + 4*k - 184. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*x + 27 = 0, -5*l - 2*x - 3*x = -10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*m - 10. Suppose -3*b - m*b + 4926 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101010011100 (base 2) to base 13.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-48)\/(-26) - 20\/(-130)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -c**6\/6 + 7*c**5\/5 - 11*c**4\/4 + 5*c**3\/3 + 159. Solve k(s) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7938 - -7937. Which is the closest to -1?  (a) 1\/4  (b) z  (c) 307  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b*(b**(1\/3)\/b*b*b)\/b*b*b)\/b*b))**43)**(12\/19) assuming b is positive.\nAnswer: b**(-1204\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 328 - 317. Is d < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -192*l + 185*l - 1400. Let d = -184 - l. What is the greatest common divisor of d and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132 + -13?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -18526.95 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263748035.\nAnswer: 5, 52749607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*g**2*m**4 - 26*g**2*m**2 - 3*g*m**5 + 3*g*m**2 wrt m.\nAnswer: 312*g**2*m - 180*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**(-7)\/z)\/z)\/z**(-6)*(z\/z**(-2))**(-3\/2))**(-6))**42 assuming z is positive.\nAnswer: z**1890","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, n: 4, c: 2}. What is prob of sequence nnh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-19))\/(3\/(9\/(-15)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*n*o**3 - 2*n*o + 216*o**5 - 4*o**4 + 4903*o**2 wrt o?\nAnswer: 30*n + 12960*o**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pytytpytyaa. Give prob of picking 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 124.756.\nAnswer: -24.9512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 216 divided by 2?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4034520617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1936 + 1936.5. What is the nearest to 2 in -1.1, m, -2\/9, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/15)*y*y\/y**(1\/3)*y)\/(y**9\/y**(-4)))**(-2\/87) assuming y is positive.\nAnswer: y**(314\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 5:39 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -58\/3. Suppose -53*s - 5114 = -5644. Which is the nearest to m?  (a) 3\/7  (b) 5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 5*d + 246, -2*v + 5*v = -4*d - 201. Let u = d - -98. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -189 - 296*n - 27*n + 97 + 92. Let j(h) = -6*h**2. Calculate s(j(c)).\nAnswer: 1938*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 51588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 9:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s - 25. Suppose 6*g + 24 = 2*g. Let f(l) = -l**3 - 5*l**2 - 4. What is the remainder when f(g) is divided by t(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 8. Suppose 3*b + j*h = -0*h - 4, 0 = -2*b + 3*h + 3. Is -2 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3176000 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 10031.\nAnswer: 50155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8b71 (base 14) in base 12?\nAnswer: 12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*f + f - 2*f)*(-138 - 434 + 775)*(3 + 0 - 2)*(-2*f + 1 - 1) to the form u*f**2 + l*f + a and give u.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**2\/7 + 104*s - 17576\/7 = 0.\nAnswer: 26, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -249*d - 30. Let i be c(-2). Determine b so that i - 199 - b**2 - 220 - 48*b = 0.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1895.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0397 and -2128.\nAnswer: -84.4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqsatsaappssssspsqp. What is prob of sequence ts?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -c75b14 (base 14) in base 15?\nAnswer: -8d19b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -14*a + 6. Calculate the highest common divisor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -6318 and 4\/3463 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35522\/9 + -3941. Find the common denominator of (412\/(-96) + 4)*-28 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26941434 is divided by 308?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjm when three letters picked without replacement from ivwjcmwj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(18)\/sqrt(144)) + (sqrt(52) + 2)*5)*4.\nAnswer: 40 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**2 + 2*y + 1. Let o be t(-1). Let w = 3 + o. Let k = -21 + 20.8. Which is the nearest to 0.1?  (a) -0.4  (b) k  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 - 0. Let t = 1756 + -1754. Sort -4, t, c.\nAnswer: -4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*c = -594, -31*l + 2*c = -24*l - 4028. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p - 4 = 0. Let n(g) = 2*g - g + p*g. Let y(w) = 10*w + 5*w - 16*w + 3*w. Determine n(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 13) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*-9*88\/15246?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/198 and (-527)\/(-1683) - (-3)\/(-18)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(605) + 1 + 3)**2.\nAnswer: -88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 3\/7  (c) 0.5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15 + -0.0501874?\nAnswer: 0.0998126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 5*a - 8. Let v be -4 - (12 - 4)\/4. Let i = v + 26. Calculate the highest common factor of a and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1725, -3449, -5173, -6897, -8621, -10345?\nAnswer: -12069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 109 + -129. Let s = -18.5 - o. Which is smaller: s or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*c**3 + 59*c**3 + 192*c**3.\nAnswer: 315*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11101110110011010101010 (base 2) to base 14\nAnswer: 10799b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27 - -35) + (-19 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w + 3*w + 11 - 2*w**2 + 0*w - w. Let r be x(0). List the prime factors of 1\/(((-1)\/r)\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, a: 1, r: 3, b: 1, y: 5}. Give prob of picking 1 a and 2 r.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 32 = -2*h. Let m be 23\/5 + h\/(-20). Solve 0*l - m*l = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2691564.\nAnswer: 2, 3, 61, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**5 - 3*r**3 - 3*r**2 - r. Let y(v) = -2*v**5 - 2*v**3 - 2*v**2 - v. Let m(h) = 2*c(h) - 3*y(h). Find the second derivative of m(o) wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((24\/(-384))\/((-2)\/4))\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 12:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1602*v**5 - 2*v**2 - 3021*v?\nAnswer: 32040*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90069 = -6233*y - 421037 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -1 + 1 - 2*g. Let j(q) be the second derivative of -q**6\/90 - q**3\/6 + 2*q. Let m(i) be the second derivative of j(i). Calculate p(m(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) 3\/4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z + 31 - 45 + 14 - 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -93.133 - -0.133. Let f = 90.446 - -2.554. Let a = g + f. What is the second biggest value in -7\/2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 90?  (a) -2  (b) 6\/7  (c) 2\/5  (d) 0.5  (e) -536\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17 and 1721?\nAnswer: 29257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2550293 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 4:56 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -55 - (-9 - (-19 - -21) - (4 - 16))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aff when three letters picked without replacement from aaaffaaaaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.7 - 6. Let t = -69 + 66. Which is the nearest to t?  (a) z  (b) 0.2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 716177252 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -18c9e?\nAnswer: -18ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 20\/8)*0\/2. Solve 5*i - i - 20 = b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -984*d**2 - 843*d + 5. Let r(l) = -983*l**2 - 845*l + 6. Let w(i) = 5*r(i) - 6*v(i). What is the second derivative of w(u) wrt u?\nAnswer: 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {t: 2, i: 4, x: 2, h: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4 times 12125.989?\nAnswer: -16976.3846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 335*f**2 - 11975*f + 3599842. Give c(339).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 859 = 1074 + 1660. What is the greatest common divisor of o and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 2, f: 3, p: 1, r: 4, e: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133\/330 - 10\/33. Let u(i) = -i**3 - 3*i**2 - 2*i - 2. Let l be u(-2). Let k be (-1)\/l*4\/(-10). Which is the smallest value?  (a) -0.3  (b) x  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 164 and 12218.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (18\/15)\/((-10)\/25). Let l be -1 - (-41)\/(k - -2). Let i be ((-2)\/l)\/(4\/48). Put i, -2\/11, -2\/5 in decreasing order.\nAnswer: i, -2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(128)*-1 + -1 - (sqrt(128)*-1*-6 + sqrt(128))) + 6*2*(sqrt(128) - (2 + sqrt(128))))*-6)**2.\nAnswer: 115200*sqrt(2) + 317412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (110\/14)\/(140\/392). Let g = 4 + -9. Let u = g - -10. Solve 0*t - j = 2*p + 4*t, -t = -u*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1506 and 3047391?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/7 + 4544*w**2\/7 - 5642*w - 504982436.\nAnswer: 2*(w - 766)*(w + 1519)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -248143497*s**2 - 263083566*s.\nAnswer: -496286994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -8, 0, 7, 142, 4 in descending order.\nAnswer: 142, 7, 4, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + 2 + 2)*3 - (3 + -1*(sqrt(272) - sqrt(272)*-2)))**2*2.\nAnswer: 864*sqrt(17) + 19746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 54*w**3 + w**2 - w - 1. Let n be o(2). Suppose 6*c = 382 + 5654. Suppose -n = -r + c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-11)\/(55\/(-2470)) + -2 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -66 in -33, -1, 270?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 3  (b) -186093  (c) 1\/8  (d) 0.3  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 + 213\/5. Let w be ((-24)\/32)\/(1\/8). Let b be w*(0 + (-1)\/21). What is the third smallest value in b, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -14, -22, -26, -26, -22?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2a20 (base 14) to base 4\nAnswer: -1310310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, c: 3, x: 4}. Give prob of picking 2 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 5136000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of 2\/3*n**3 - 1 + 0*n**2 - 3\/4*n**4 + 0*n. What is the third derivative of a(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 4:39 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*z - 126 - 9906 = 0. Calculate the greatest common divisor of z and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 8. Let l be b(-5). Let t = l - 1. Suppose m = 9 - 1. What is the lowest common multiple of m and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 3*c**3 - 2 + (-1 + 1 + c**2)*(0 + 0 + c) + 2*c**3 + 4 + 4*c + 70*c**2 - 2*c - 74*c**2.\nAnswer: 6*c**3 - 4*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*z - 5 = -c, -5*c = -2*z - 19. Suppose c*n = n + 128. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2787 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 5 + -5 + (5 - 7) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.23 and 481.1?\nAnswer: -110.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 7 = 25. Suppose -u = -n + 3*x, 3*n + 3*x + 2*x + 29 = 0. Calculate the common denominator of -23\/2 and -3 + ((-36)\/(-21) - n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -218 or -219?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8679 (base 10) in base 5?\nAnswer: -234204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yfn when three letters picked without replacement from {n: 4, c: 1, f: 3, y: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 26007636?\nAnswer: 26007643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30802, -61604, -92406, -123208, -154010, -184812?\nAnswer: -215614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 16 - 2 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2\/6 - 36875*o + 815859375\/2.\nAnswer: 5*(o - 22125)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 - 4*o + 7 + (2 + 0 + 1)*(o - 1 + 1).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*i + 740 - 132 = 0, -2*h + 3*i = 380. Suppose -2*j + 63 = -35. Calculate the remainder when j is divided by 20*7*(-7)\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -42 + 48*z - 26*z - 25*z + (1 - 1 - z)*(-2 + 3 + 1) + 2*z - 2*z - 2*z.\nAnswer: -7*z - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -2\/5, -0.2, 2\/9, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 488.2638 years to decades.\nAnswer: 48.82638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 - 34. Let r = 2 + -3. Put l, r, 4 in ascending order.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 249 and 68973?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-6*(sqrt(50) + 3) + -5 + 1 + sqrt(50)).\nAnswer: 66 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tuatjtiauiti. What is prob of picking 1 a, 1 i, and 1 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 107 - 111 - (3 + (-2 - 60) + 4 + -4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -148.6 - -148.60014403. What is n rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**4 + 40*g**3 + 105*g**2 + 107*g + 40. Let p(a) = -25*a**4 - 480*a**3 - 1260*a**2 - 1285*a - 480. Let r(c) = 35*k(c) + 3*p(c). Factor r(w).\nAnswer: -5*(w + 1)**2*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.02939 - 0.026857. What is h rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 8 = a. Let t = a + 10. What is the units digit of t\/(-4) - 218\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -444*q**2 + 41674*q.\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1929 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1\/9  (b) 5.3  (c) -4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 148 + -280. Let c = -127 - u. Solve c*x + 13 = -0*i - 3*i, 5*i + 3*x = 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 31249864 and 16?\nAnswer: 62499728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8085 - 16*8\/(-16). Let v = -4614 - m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 319 - 2875\/9. Which is the closest to -1?  (a) 1  (b) 5  (c) -0.1  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**3 + 3*j**2 - 3*j - 3. Let m be -2*(-4)\/(-8)*1. Let n be (1\/(-2))\/(m\/(-6)). Let w(l) = -4*l**3 - 2*l**2 + 2*l + 2. Calculate n*w(f) - 2*p(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 470654849 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 11, -11, -0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26 + 677?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n + 2. Let m be i(0). Let q = 71\/3 + -24. What is the closest to 1 in -0.1, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -114435 - 0.0724?\nAnswer: -114435.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -340030?\nAnswer: -340024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n + 3. Suppose 6*v = -2*m + 78, 3*v - 5*m + 6 = 9. Determine w(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 826582765.\nAnswer: 5, 43, 3844571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w + 0*w + 6*w + 3 + 0*w + 4*w - 3*w + (w - 2*w + 2*w)*(2 + 4 - 3).\nAnswer: 7*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 299458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2*t**2 - 1)*((-2 + 3 + 0)*(-2 + 2 - 1) + 2 - 1 + 1 - 3095 - 420 - 3956) in the form b*t**2 + y*t + s and give b.\nAnswer: 14940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -779  (b) -0.04  (c) 0.3  (d) -2\/19  (e) 0.01  (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 179, 230, 257, 254, 215, 134, 5?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 2*m - m = 0. Suppose -3*n - 2*o + 25 = m, 4*o = -3*n + 12 + 5. Solve -3*w = 5*f - 6 - n, 1 = 3*w + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(4\/5)\/q)\/q**(5\/3))\/(q\/(q**(-8)*q)*q*q*q**(-2\/7)))**(-2) assuming q is positive.\nAnswer: q**(2432\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 469164.7467 rounded to the nearest 10000?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 126111080 divided by 11740?\nAnswer: 10742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-909)\/90 - -10) + (-153)\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**2 - 1159960*y + 83537856 = 0.\nAnswer: -290062, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 42*y**3 + 3*y - 3. Let s(l) = 84*l**3 + 7*l - 5. Let t(z) = 4*s(z) - 9*v(z). What is the second derivative of t(q) wrt q?\nAnswer: -252*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49813 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 8*x + 7. Let o(g) = -9*g - 6. Let m(n) = -n**2 - 148*n - 5473. Let b be m(-71). What is b*y(s) - 5*o(s)?\nAnswer: -3*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v = -4*c + 13*v - 16, 5*c = -9*v - 61 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-6 + -4 + 6)) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 953*v - 4428 = 2008*v - 891*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 116 - 116 = 4*a, 6*a + 384 = 5*x. Solve 73*c + 5 = x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 76923*t*w**3*y**3 - 2*t*w**2*y**2 - 16*w**3 + 284182*w**2*y**2 - 587*y**3 wrt y?\nAnswer: 461538*t*w**3 - 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -2*p + 38, 0 = 175*d - 178*d - p + 30. Let o(v) = v**2 - 11*v + 96. Let b be o(d). Calculate the highest common factor of b and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 3*m - 6. Let w be h(-4). Suppose 2315*d = 2468*d + 1989. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 1, 30, -1.\nAnswer: -1, 1, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/(sqrt(300)*3))\/(5*sqrt(54) - sqrt(150)*2))**2.\nAnswer: 1\/4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2 + 792*z**2 - 821*z**2 - 2 + 5*z - 24*z - 2*z**3. Let y be l(-14). Which is smaller: 67 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 20 = 5*j + 60, 2*z - 64 + 668 = -86*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 7. Let v = 4.2 - x. Let y = v - 0. Sort y, 1, -4 in decreasing order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {g: 9, k: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, l: 3, a: 1}. What is prob of sequence ale?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -4*j + 50, 4*y + 3*j + 31 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + 0 + -4 + 82. Let r = -77 + w. Suppose r*l - 353 + 17 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-154)\/(-8) - 18\/(-24). Let s be (v\/6)\/((-4)\/(-6)). Let b = -2 + -2. What is the second smallest value in 0, s, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.5, -9.7.\nAnswer: -9.7, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 0*g**6 + 39 - 13\/3*g**3 + 0*g**2 - 10\/7*g**7 + 0*g**5 + 0*g + 0*g**4. What is the third derivative of q(z) wrt z?\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-45))\/((-6)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 11:57 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/23962223 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of x**3\/6 + 5*x**2 + 9*x. Does 2 divide y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -21*n + 301. What is p(11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 3*m**2 - m + 2. Let l(k) = 0*k**2 - k**2 + k + 6*k**3 + 0*k**2 - 2*k**3. Let o be l(1). Suppose -10 = -q - o*q. Determine s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*i = -42*i - 251. Suppose -4*l - z = -i, 2*l - 133 = -2*z + 3*z. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1561630, 1561605, 1561580, 1561555?\nAnswer: 1561530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = m - 4, -12 + 4 = -2*m + 4*l. Suppose 0 = -5*k - x + 23, 3*k - 4*x + 28 = 7*k. Differentiate -3 + 0 + 3*q**m - k*q + 4*q with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 9968*l**2 + 445*l - 89. Let t(b) = -453*b**2 - 20*b + 4. Let m(p) = 4*o(p) + 89*t(p). Let h(u) = 2*u**2. Give m(h(f)).\nAnswer: -1780*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -561*x = -550*x. Solve 41*y - 49*y - 32 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1652\/(-42) - (0 + 4))*3\/(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - 12.7. Let h = m + 12.6. Let v be (6\/(-16))\/((-9)\/6). What is the nearest to v in -3, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0409758 and 421123.\nAnswer: 421123.0409758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.997 - 11.997. Let z(n) = 2*n**2 + 4*n. Let k be z(-3). Suppose 0 = -3*o + k - 3. What is the closest to b in o, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49\/2 + -23. Let i(j) be the second derivative of -1\/6*j**4 + x*j**2 + 0*j**3 + j + 0. Differentiate i(k) with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2467 minus 2?\nAnswer: -2469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 22*q - 446. Let w be x(21). Solve 0 = 4*d - 5*t - 28, d + 5*t + w = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/3 and 447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8 + (-3)\/(6\/4). Solve h = 5*u - 3*y, -4*u - 4 - 4 = 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2671697319 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -166, -169, -172?\n\"Answer: -3*w - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - -18. Let d be o\/(-150) - 2\/(-10). Let t(b) = -b. What is t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126272 is divided by 234?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -114.447 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/11 - (-2 - 477\/99).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**2\/4 + 279*k\/2 + 15341\/4 = 0 for k.\nAnswer: -529, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 16162464 divided by -4\nAnswer: -4040616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -185 + 203. Calculate the highest common divisor of z and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4674 - -8250056?\nAnswer: 8245382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of 2*n**2 + 0*n**4 + 1\/2*n**5 + 0 + 0*n**3 + 3*n. Find the first derivative of l(c) wrt c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7, -13, -41, -71, -97, -113, -113?\n\"Answer: k**3 - 10*k**2 + 3*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 3. Let k(d) = 1. Let n be 64\/28 - 6\/21. Calculate n*l(t) - 5*k(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**2 - 18*y + 41. Let j = 103 - 94. Calculate the remainder when v(j) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 47*k + 18. Let h(l) = 28*l + 9. Let u(i) = 5*h(i) - 3*m(i). Determine u(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 2 + 2 + 0. Let t be 4*1*(-4)\/16. Let y be 0 - (q\/2 - t). Which is the second smallest value?  (a) y  (b) -2\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -286*k + 289*k + 3, -5*k + 30 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111352.\nAnswer: 2, 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16973 divided by -16973.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2325 + -4?\nAnswer: -2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h. Let t(f) = 1047*f**2. Give w(t(c)).\nAnswer: 2094*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 1 + (-9 + 14 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 3*h + 34. What is the remainder when z(0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11068582 is divided by 582556?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.1063072s?\nAnswer: 106307.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4908 + 4451. Round v to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*337\nAnswer: -67.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1008 - -1722. Suppose -z = -0*w - w + b, -w - 5*z = -720. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 7 - 1. Let f = 28 - 28. Let n be (6 - (-92)\/(-12))*-3. Sort f, n, y in decreasing order.\nAnswer: n, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 1139 + 56 = 5*p, -2*p - 5*z = -490. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (236*a**2 - 236*a**2 + 2*a**3)*(2 - 3 - 3 + 6 - 1 - 2 + (1 - 4 + 5)*(0 + 1 - 4)) to d*a**2 + p*a**3 + f + c*a and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 3*y**2 - 3*y - 1. Let v be u(-2). Suppose -4*p + p = 3*b + 867, -4*p - 1138 = -2*b. Calculate the common denominator of 65\/2 and v\/5 + p\/80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of g**4\/12 - g**3\/3 - 4*g**2 - 8. Let m(d) be the second derivative of v(d). What is the remainder when 9 is divided by m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -591671 + 591668. Let x(p) = -7*p**2 - 3*p - 4*p**2 - 2*p**2. Let k(d) = -14*d**2 - 4*d. Calculate w*k(o) + 4*x(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -12, -19, -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 78 - -a5?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 31*j**2 + 68*j + 62. List the prime factors of o(-22).\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-9)\/(-3) - -18. Suppose a = -0*a + t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 - -16. Let l = k + 17. Let i be (-40)\/(-15) + 2\/l. Is i less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i**3 + 8*i**2 - 6*i + 1. Let z(c) = -11*c**3 + 23*c**2 - 17*c + 3. Calculate 17*f(s) - 6*z(s).\nAnswer: -2*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q**2 - q. Let y(c) = 19*c**2 - 8*c + 2. Let p(t) = 58*t**2 - 27*t + 7. Let s(n) = 2*p(n) - 7*y(n). Give -11*d(l) - 4*s(l).\nAnswer: 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 + -3)\/4 + 9. Calculate the greatest common divisor of 80 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 887500 and 207320.\nAnswer: 129575000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -6*l**2 - 1. Let f(t) = 2*t. Calculate c(f(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (d + 4*d - 3*d)*(512 + 326 + 226) in the form k + m*d and give m.\nAnswer: 2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (14\/(-10))\/(152\/(-1520)). What is the greatest common divisor of l and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-1926*k**2 + 30 - 29 + k + 777*k**2)*(3 - 3 + k + 2*k - k + k - 4*k + 5*k + 0*k + (-2 + 7 - 3)*(-4*k + 6*k - 3*k)).\nAnswer: -2298*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 2\/19, -0.6, 0, 65, 0.03, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g + 161. Let t be q(31). What is the greatest common divisor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*o + 1197, 4*d + 2537 - 525 = -5*o. Let m = o - -570. Is 3\/(-6) + m\/4 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (1 - 3) + 3 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6320789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -342 (base 8) to base 14.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x - 67. Give f(0).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1650 + -1545. Which is greater: w or -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -9*-1*(-110)\/(-15). Let l be 1\/(-6) - 111\/(-18). What is the highest common factor of n and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, x: 6, c: 5}. Give prob of picking 1 c and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1123213020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00158384 rounded to 5 dps?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 4*u + 135, 0 = 8*c - 184*u + 180*u - 216 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -95619, -95761, -95989, -96297, -96679?\n\"Answer: s**3 - 49*s**2 - 2*s - 95569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -7 + 0 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-3 + sqrt(405) + 0 + 4) + 4*(1*(sqrt(5) + 2) - sqrt(5) - -1*sqrt(5)*1))**2.\nAnswer: 682*sqrt(5) + 4926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 10*k + 30. Let j be z(12). Suppose 9*h - j*h - 15879 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 117 and 2.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 2 = 0, -3*s + 12*q - 13*q + 37 - 14 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 874763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of -c**3\/3 + c. Let h(o) be the third derivative of -2*o**2 + 0 + 5\/4*o**4 + 0*o**3 - 27*o. Give h(m(d)).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 330*o = -1020*o - 162*o - 68040 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2768 (base 11) to base 13.\nAnswer: -1828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + ((sqrt(1331) - -1*sqrt(1331)) + -1 - sqrt(1331)))**2 + (sqrt(1100) + sqrt(1100) + 1 - sqrt(1100))**2*4.\nAnswer: 36*sqrt(11) + 9729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4793*z + 1317*z - 19*z.\nAnswer: 6091*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 64*b + 7. Give w(63).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 21\/1*(286\/39)\/(-22)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76467.17nm to meters.\nAnswer: 0.00007646717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 - -17. Suppose k*a = 7*a - 210. What is the highest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/(-45))\/((-18)\/(-60)). Which is the closest to -0.1?  (a) 9  (b) t  (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - b**2 - b + 1. Let x be f(2). Suppose 3*z = -z + 8. Let y be (z\/(-24))\/(2\/4). Sort -2, x, y in ascending order.\nAnswer: -2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - s + 13. Let l(t) = -t**3 - 8*t**2 + 14*t + 45. Suppose 51 = -4*c - 3*j, 3*c - 6*j + 47 = -10*j. Let v be l(c). Determine b(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2381, 2506, 2647, 2810, 3001, 3226, 3491, 3802?\n\"Answer: c**3 + 2*c**2 + 112*c + 2266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40498.7 - -42499. What is k rounded to the nearest ten?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 - -d4f8?\nAnswer: d4e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 673667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 11. Let l be 4 - 10 - -6 - 0. Let g be -2*(-2 + -1) - -1. Solve -f + 3*t - g = l, 4*f = m*t - 3*t - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**0\/j)**4*(j**(-7)\/j)\/(j\/j**1) assuming j is positive.\nAnswer: j**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/4 or -25\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3 + 2\/(-56)*27*5 and -101\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.9593 + 917.8593. Round d to the nearest ten.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 0*d = 16. Calculate the highest common divisor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*207\/36 - (-1)\/(16\/(-240)).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1496 and 2499663408.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 2*a - 3*a)*(72*a - 152 + 182*a + 150)*(12*a**2 + 2*a**2 - 3*a**2).\nAnswer: -5588*a**4 + 44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 - 5 + 2)*(-188*w**3 + 188*w**3 + 20*w**4).\nAnswer: -460*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 1:57 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2590 + 4503. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(275)*-5 + sqrt(275))*1)**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.512 - 0.488. Which is the smallest value?  (a) 3.4  (b) -23\/3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 4*w**5\/5 + 58*w**4 + 224*w**3 + 332*w**2 + 220*w + 1081. Let x(u) = 0. What is u?\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 13*y - 820. What are the prime factors of y?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31066*a*w**2 - 3156532*a + 99*w**4 wrt w?\nAnswer: 62132*a*w + 396*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/20)\/(4\/(-10)). Is 4 a factor of (-1)\/(-2) + 7\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(-3)*(-360)\/30*3\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 94939.23 years?\nAnswer: 949.3923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 36 = -5*v, -x + 8*v = 3*v + 14. Let h = -6 + x. Suppose 8 = w + 5. Solve -7 = w*m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5864 + -5809. Calculate the remainder when 201 is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 89340 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-88)\/20 + 5)\/(2\/10). Let p = 16 + -1. What is the highest common factor of i and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 393 + -398. Sort -2, i, 15.\nAnswer: i, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 - 4*f**2 - 2*f. Let k be l(-2). Let w = 17 - k. Let m be 7 + (-5)\/(w\/3). Solve m*a + 9 + 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1610153, -3220320, -4830497, -6440690, -8050905, -9661148, -11271425?\nAnswer: -12881742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, p: 1}. Give prob of sequence ss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 4:20 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 901 + 679. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1837173 is divided by 918426.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b**3 + 8*b**2 - 2*b + 42. Let i be a(-5). Solve 4*t = -i*s + 12, 2*s - 3*t = -t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 5*b + 6. Let a(p) = p**3 + 64*p**2 - 62*p + 200. What is the remainder when a(-65) is divided by o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, -1, -3.4, -9 in decreasing order.\nAnswer: 0.01, -1, -3.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 160293632?\nAnswer: 480880896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183921169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -15. Calculate the common denominator of (-12)\/(-8)*(-178)\/i and 69\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, n: 1, i: 2, b: 1, y: 1, e: 4}. What is prob of picking 1 b and 2 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.1  (b) 11\/7  (c) -32  (d) -4\/7  (e) -1\/4  (f) -4\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 34 = 38. Let j be 4030\/60 + 2\/r. Let i = j + -38. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*h + 5. Let k be 6 + 2*(-3)\/h. Solve -3*m**2 + k*m + 2*m**2 - 3*m**2 + 7*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (123\/(-287))\/(2\/84).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + -1. Let f(u) = -6 - 2*u + 3 + 4. Determine f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 - 18 - (-9 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43498841 to the nearest integer?\nAnswer: 6595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 0.2  (c) 3\/7  (d) 8.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 4:19 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2\/5 + 202306*y\/5 - 24913896\/5 = 0. What is y?\nAnswer: -101276, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (8\/((-16)\/(-146)))\/(-3) and (-2)\/6 - (-1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 22193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 6*q - 4. Calculate k(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*s - 230, -264 = -4*s - 3*x - 29. Let v be (-4)\/(-10) + (-32)\/s. Let j(w) = -w. Let z be j(-1). What is the closest to z in 1\/9, 0.1, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*u = 53*u - 20. Let y(c) = 7*c - 6. Let j(q) = -6*q + 5. Let t be ((-1)\/(-2))\/(1\/2). Suppose -5 = -p + t. Give p*j(v) + u*y(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -366*t**4 - 2421 + 265 - 253 - 1354*t**4 wrt t?\nAnswer: -6880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 153 and 182.\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -763\/99 - -56\/9. Let m be ((-2)\/(-18))\/((-80)\/1303170). Let p = m + 7251\/4. Find the common denominator of p and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 238701.\nAnswer: 954804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 12*b**2 - 2. Let f(l) = 109*l**2 - 104*l + 2686. Let q(m) = -2*f(m) + 18*s(m). What is v in q(v) = 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19320207 is divided by 674?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1432 - 1431. Is -5\/533 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 11 = 2. Let c be 1\/(5\/25*-1). Sort v, 5, c.\nAnswer: c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 115578 - 80476. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = w - 0*h - 9, w - 5*h = 18. Let y = -0.081 - -0.055. Let b = y - -0.126. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*n - 5*u, -4*n + 10*u + 21 = 7*u. Solve n + 4 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 k when three letters picked without replacement from {q: 1, p: 2, a: 2, k: 1, x: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o. Let s(c) be the second derivative of 9*c + 9*c - 36*c + 8*c - 4*c**3. Determine g(s(a)).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/8)\/((-377)\/(-3016)). Let p(j) = -23*j**2 - 1. Let v(z) = -z**2. Give c*p(n) + 22*v(n).\nAnswer: 24*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 173104234 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6646*c - 18817*c - 1852*c)*(-2*c + 0*c + 4*c) to the form b + s*c + v*c**2 and give v.\nAnswer: -54630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(19) + 0 - -2*sqrt(1216).\nAnswer: -1 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 - 6. Let n = j + -31.8. What is the second biggest value in n, -0.5, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 10 - 311*i + 0*i**2 + i**3 - 3*i**2 + 306*i. What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 3, -1, -3 in ascending order.\nAnswer: -8, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d. Let n(h) be the second derivative of h**4\/6 + 167*h**3\/6 - 2*h + 43. Give n(u(c)).\nAnswer: 8*c**2 + 334*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*a**2 + 4*a**2 + 14*a**2)*(0*a**3 + a**3 - 2*a**3).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.364935 litres?\nAnswer: 4364.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -12. Let b = -12 - x. Suppose 0*z + 3 = 3*z. Put z, b, -3 in descending order.\nAnswer: z, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 5*w**4 - w**2 + 4*w**2 - 17 - 2*w**2 + 5*w**3 + 6*w**3. Let z(s) = 3*s**4 + 6*s**3 - 9. Let p(c) = -6*a(c) + 11*z(c). Let p(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*11\/22*(-1)\/(2*(-203)\/6).\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 2*w - 5*l, 5*w - 140 = -0*w - 2*l. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2986864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 24  (b) 0.3  (c) 412  (d) -4  (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = 120. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -7. Suppose 0 = 3*x + 3*m - 2*m - 10, -6 = 3*m. Suppose -4 = -3*c - x. Solve c = -4*p + 4*a - 0*a, k*p + 5*a + 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 180661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 190 = 90. Suppose 2*w + r*w - 9328 = 0. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 1 = z. Suppose -z*o + 8*o = 40. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 399.2008163 to 1 decimal place.\nAnswer: 399.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44567 = 41*r + 45141 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 37 + 91. Suppose 5*o = 5*a - 20, -2*o - 34 = 3*o + 2*a. Let h = o + j. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -18. Solve d*g + 0*g + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 2:41 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r**2 + 9*r + 9. Let g(k) = -2*k**2 - 4*k - 4. Let f(u) = 9*g(u) + 4*l(u). Let z(o) = 3*o**2. What is -2*f(b) - 5*z(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 9*a - 25. Suppose -5*j - 4*b = -3 - a, -2*j + 20 = -4*b. Solve -2*f + k = j, -3*f = -0*k + 3*k + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -34, -33, -34, -37, -42, -49, -58?\n\"Answer: -x**2 + 4*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 4 - 1 + 2*z + (-2*z + z - z)*(-4 + 2 + 0) - 2*z + z + 3*z.\nAnswer: 8*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x**3 + 4*x**3 - 1902*x + 1902*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 4\/(-24) + 100\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16066?\nAnswer: 2, 29, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 59747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - (-5)\/(-5)) + 6 + 0 + -7. Solve -s - 2*s + 8 = z*r, -5*r = -4*s + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -767 + 824. What is the remainder when 730 is divided by i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(-4))**(1\/6))**47*h**3*(h\/(h*h**(-1\/3)*h)*h)\/h*(h**(-1\/8)*h)\/h*h*h*h**(3\/4)*h*h assuming h is positive.\nAnswer: h**(1295\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 2.690159 kilograms?\nAnswer: 2690.159","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2 - 18*n - 2. Let m(q) = -q**3 + 3*q**2 + 19*q + 3. Give 3*a(y) + 2*m(y).\nAnswer: -2*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/20, -1\/2, 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (4 - 1) + 0 + (3 - 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-6)\/3*1. Suppose -4*v + 116 = -o, -2*v - l*o + 158 = 3*v. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 114.2 + -114. Suppose -p + 18 + 7 = -4*z, -z + 10 = 3*p. Which is the second smallest value?  (a) f  (b) z  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 64*u**2. Let g(b) be the first derivative of 7*b**3 - 11*b + 20. Let m(v) = 4*v**2 - 2. Let y(f) = 2*g(f) - 11*m(f). What is p(y(i))?\nAnswer: 256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (14\/6 + -2)*(11841 + -276)?\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4305472 is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -764164 times 9?\nAnswer: -6877476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + 22. Suppose 3*m = 12, -5*m = c - 2*m - 12. Let v be z(c). Let s = v + -15. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89184421.\nAnswer: 307, 449, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*g - 154*g + 129*g - 3094 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -195193 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06430098265 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15.69022 and 0.2.\nAnswer: -15.49022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -41952\nAnswer: 167808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 + 1)*(0 + 5 - 4)*(-3*u + 0*u + u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2082*u**2 + 74*u - 141. Let n(a) = 2083*a**2 - 62*a + 142. Let x(c) = -6*n(c) - 5*r(c). What is the second derivative of x(q) wrt q?\nAnswer: -4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65 = 4*n + 4*w + 77, -5*n - 3*w = 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 33. Suppose 0 = -m + 5*l - l + z, -5*m = 5*l - 5. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2385.1mm in meters?\nAnswer: 2.3851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + (49069 - (-1 + 14\/7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64 + 64. Suppose -5*i + 1043 + 387 = u. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 6 + 32\/8. Let p = -11 + i. Solve 2*t = l + 2, 4*l + 8 = -p*t + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = 2696 - 2702 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(800) - (sqrt(800) + -5))*5 - sqrt(800))**2.\nAnswer: -1000*sqrt(2) + 1427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -45*m**3 + 4*m**3 - 9*m + 40*m**3 + 6*m**2 + 4 = 0. What is m?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000102000 - -102?\nAnswer: 1000102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55534011.\nAnswer: 3, 13, 1423949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a**2 + 244*a + 236. What is c(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -15, 127, 2, 10, 3, 0.\nAnswer: -15, -4, 0, 2, 3, 10, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*a**2*l**2 + 34*a**2*l - 679227*a**2 - 225*a*l**2 - 265376*a*l + 2*l**2 wrt a?\nAnswer: -6*l**2 + 68*l - 1358454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 10*r - 7. Let k(v) = -3*v + 2. Let q(a) = -2*i(a) - 7*k(a). Let n(y) = 6*y**2. Calculate q(n(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4671 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -208 + 13*a**2 + 4*a + a**3 + 9*a + 218. What is t(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*(100\/3)\/((-9)\/6939). What is p rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**2 + 4*j**2 + 11*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17.6 - 18.6. Which is the fourth biggest value?  (a) -0.2  (b) g  (c) 0.3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6045563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.1, -13, -5 in increasing order.\nAnswer: -13, -5, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 3.2. Let y(m) = 445*m + 16034. Let d be y(-36). What is the second biggest value in d, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 9:40 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2\/9 - 44907988*d - 2268818309484162 = 0.\nAnswer: -101042973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(252)*3*-4)**2 + ((sqrt(35) - sqrt(2240)*2)\/sqrt(5)*5)**2.\nAnswer: 75662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*6*-2*sqrt(11)*3)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-69)\/((-3036)\/(-88)) + 15\/(2 + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-64*c + 64*c + 3*c**2)*(c**2 + 2*c**2 - 4*c**2) - c**4 - 4*c**4 + 3*c**4 to the form b*c**4 + q*c**2 + p*c + o*c**3 + k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*((-74)\/8 - -10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 5. Let w be 3\/(-2) + (-819)\/14. Let o be w\/27 - 2\/(-9). Which is the second biggest value?  (a) -0.3  (b) g  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 3*q + 0*q)*(-2*q + 3*q + 2*q) + 7*q**2 - 2*q**2 + 10*q - 4*q**2.\nAnswer: 4*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -23 and -83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -9 + -11 + -37 - 11 - -10\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*u - 1 = 5*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 578 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*h - 4. Let z be -7 + 0\/2 + h. Let t = 3863 + -3863. Do t and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-35)\/3)\/((-18)\/216) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**2 - 38*k - 240 = 0.\nAnswer: -30, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 - w**3 + 2*w**3)*(2*w + w + w)*(4 + 1 - 3).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -315322839 to the nearest one hundred thousand.\nAnswer: -315300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -253071*n**2 - 177037*n.\nAnswer: -506142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 11*f - 4. Let j(g) = 2 - 2*g + 0*g + 0*g - 4*g. Let h(n) = -5*n + 1. Let m be h(1). Determine m*u(p) - 7*j(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + -1)**2 + 4.\nAnswer: -20*sqrt(3) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*z + 137905 = -52*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 7. Let v be h(-3). Solve z = -v*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 2194  (b) -2\/9  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2211 is divided by 342.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2\/5, -34, 8435\/11 in descending order.\nAnswer: 8435\/11, 2, -2\/5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -4*o**5\/5 - 28*o**4 - 897*o**3\/5 + 1004*o**2\/5 - 52*o = 0.\nAnswer: -26, -10, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-17)\/(-119))\/(((-3570)\/98)\/17)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 6 + 18*l as i + h*l and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1213133 (base 4) to base 10.\nAnswer: -6623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/4, 0.1, -0.3, -1\/2, 1\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.014  (b) 0.4  (c) -9  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 356471.08989 and 1.089.\nAnswer: 356472.17889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 824 + -9024\/11. Let y(b) = -b**3 + 12*b**2 - 11*b - 14. Let n be y(11). What is the common denominator of (1*-2)\/(n\/(-46)) and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 21 = -27. Let x = 2 - -2. Let l(c) = -3*c + 2*c - x*c + o*c. Let g(k) = -k. Calculate g(l(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.41 * 1.004.\nAnswer: -2.41964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 815 + -473. Let m = -201 + x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/12 and 8\/5529045?\nAnswer: 22116180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -20. Suppose 4*v + 8 = h. Let a be 9 - (-4)\/(-16)*v. Solve m + 0*z + z = 0, 0 = -m - 5*z - a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/11 - 29328*i\/11 - 556510\/11.\nAnswer: -2*(i + 19)*(i + 14645)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -7*g - 22. List the prime factors of (3\/(-2))\/(1\/g).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + 73 = 105. Let a(t) = -9*t**2 - t - 1. Let g(o) = 5*o**2 + o. Let x(j) = -4*a(j) - 7*g(j). Calculate x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s + s - 29*s + 21*s - s + 6 + 8*s + s.\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a factor of 58962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + l = 25. Let q(w) = w**3 - 5*w**2 + 2. Let m be q(l). Suppose 0 = m*h - 5*k - 118, h + 3*k + 208 = 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4901.8599 days?\nAnswer: 700.2657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-323)\/(-85) + (-1)\/(-5). Let k = 6351 - 6351. Solve z*p - 3*j - 23 = k, -2*p + 3 = -5*j - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11349953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**3 - 5*q**2 - 2*q - 71 wrt q.\nAnswer: 6*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 3*v + 403 = 2*x, -5*x + 1033 = v. Suppose -4*j - 138 = 5*l, -j + 6*j = 5*l + 120. Let k = l + x. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1023\/196 - -3\/98. Let -25\/4*k**3 - 3\/4*k - x*k**2 - 9\/4*k**4 + 1\/2 = 0. What is k?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 12) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**2 - 24*k + 23. Determine o(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5155 and 31961?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9031, 35645, 80001, 142099?\nAnswer: 221939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**2 + 0*k**2 - k**2 + (0 + k**2 + 0)*(4 - 2 + 14)*(3 - 2 + 1)*(6 + 7 - 3)*(3 - 4 - 4).\nAnswer: -1603*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 11\/8 of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(55) - sqrt(165)\/sqrt(3)))\/(sqrt(55)\/(sqrt(11) + sqrt(33)\/sqrt(3)) + sqrt(5))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/24794 and -51\/3542.\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 26 = 4*h, 31 = 38*w - 40*w - 5*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.73 take away -3?\nAnswer: -17.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - -1 - (-107 - -71) - (9 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**2\/2 + 14*z - 129. Suppose 5*x - 4*a = -16, 2*x = -2*x + 3*a - 12. Determine s(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0039 - 0.0041. Let j = m + 1.008. Put j, -13, 0.4 in ascending order.\nAnswer: -13, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c + 10*c - c**2 - 3*c + 5*c**2 + 2. Let x be k(-4). Calculate the greatest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60.3 + -58. Let k = g + -1.3. What is the second smallest value in -2\/21, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7594?\nAnswer: 2, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 29\/(-9) - 4\/(-18). Let l(t) = t**2 + 10*t + 6. Let p(w) = 2*w**2 + 19*w + 11. Let b(f) = 11*l(f) - 6*p(f). Give b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368.4577 decades in millennia?\nAnswer: 3.684577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -150713 + 319963681\/2123. Let t = u + 31519\/3967887. Let q = t - 76625\/7476. Calculate the common denominator of -37\/14 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -5*s**4 + 2675*s**3 - 81585*s**2 + 552925*s + 1453670 = 0.\nAnswer: -2, 17, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 13*q + 39. Let r be p(-1). What is the highest common factor of r and 1118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5908 - 1748. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000243181 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 688*x**3 - x**2 - 3. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.193 + 0.147. What is z rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/2018 and -65\/2273176.\nAnswer: 2293634584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -343 + 232013?\nAnswer: 231120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 2. Let y(m) be the first derivative of m**2 + m - 2. Let i be y(h). Solve 2*l - i = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = f, 96*f - 93*f + 3 = -4*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 95*n + 17*n - 1390 - 1960 + 1110 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, u: 1, g: 4, k: 1, v: 2}. Give prob of sequence vg.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 15*i**2 + 16*i + 10. Let u be v(13). Is u\/5 - (-10)\/(-50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2347797616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkskskzkszskks. Give prob of sequence skz.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -28061 divided by 1\nAnswer: -28061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a\/(a*(a*a**(-2\/7))\/a*a*a))\/a))\/((a*a**(-6))\/a)*(a**(-1\/4))**2 assuming a is positive.\nAnswer: a**(129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 4*s + 46 = 26, 6 = -3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 87945 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7068291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 34306.2 * 0.0345\nAnswer: 1183.5639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 36 = 3*t. Let a(z) be the third derivative of z**5\/60 + 11*z**4\/24 - 4*z**3\/3 - 184820*z**2. Calculate a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 137 - -231. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.7 + -4.7. What is the third biggest value in 2\/13, -2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1759 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4862130?\nAnswer: 2, 3, 5, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 363?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -0*b + 3*b. Let i be ((-6)\/b)\/((-28)\/(-70)). Is i greater than or equal to -19\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 3. Let g be -2 + -22*m\/14. Let s = 6 + -4. What is the smallest value in g, s, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u - 1. Let j be m(-3). Let p(n) = -8*n - 3 + 2*n - n**j - 4*n - 2. Let y be p(-8). What is the greatest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*4 - (-12)\/3. Solve -3*z = 3*l - 15, -2*z + u*l + 13 = 3*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = 662*v - 778*v + 2630 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*d - 1 + 11*d + 24*d - 140*d**3.\nAnswer: -140*d**3 + 28*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 48874 or 48868?\nAnswer: 48874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/(-7) + (-80490)\/(-21).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(90)*-6)\/sqrt(5).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1663 - 53*y + 3220 - 1557.\nAnswer: -53*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 - -145. Let c be (0 - 1) + 2\/2. Let k = l + c. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3545 is divided by 1767?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 12*k + 14*k - 17*k + 8*k - 18*k + 2. Let c(i) = 2. Give -6*c(v) + 5*y(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 12:54 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1760178.9 months in years?\nAnswer: 146681.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52235 is divided by 1135.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d*d**(2\/15)))*(d**3*d)\/d)\/(d**(1\/5)\/d*d\/(d**(-2)\/d)) assuming d is positive.\nAnswer: d**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 3*j - 4*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 22*c**3\/3 - 9*c**2 + 28. What is the second derivative of m(w) wrt w?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/((-64)\/(-48)))\/(-1*1). Let r(g) be the first derivative of 20\/9*g**f - 16\/3*g**2 - 16\/3*g - 4. Factor r(l).\nAnswer: 4*(l - 2)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 9:35 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 20*x = -22*x + 18, 2*w + 5*x - 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*l + 45 = -139. What is the greatest common factor of l and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5037, 5 in ascending order.\nAnswer: -5037, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -232202 or -232003?\nAnswer: -232202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91 and 357?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/6480250 and 85\/2254.\nAnswer: 6480250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 429 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8661\/2420 - 57\/121. Calculate the common denominator of ((-15)\/(-7))\/(16\/14) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -228, 24, -13 in decreasing order.\nAnswer: 24, -10, -13, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -12*v**3 - 13*v**2 + 4*v - 3. Give z(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1655 by -3115.\nAnswer: 331\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1254 - -130?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 44\/10 + (-15)\/(-25). Suppose -3*y + q*p - 2 = 0, y - 4*p = 1 + 3. Let o = 1 - y. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*sqrt(8)*-2 + (-2*sqrt(1152) - sqrt(1152))\/(4*sqrt(20)\/sqrt(5)).\nAnswer: -33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 371520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 11 - 19 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.052*-0.02\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18*1.114.\nAnswer: -20.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/32, 0.2, -0.1.\nAnswer: -0.1, 3\/32, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbkbbbbbkb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96092239?\nAnswer: 96092239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/6)\/(a**(-2)*a)*(a**(2\/3))**(-6\/13))\/(((a*a*a**(-2)*a)\/((a*a**2\/a)\/a))\/(a*a*a**(-2)*a**(-6))) assuming a is positive.\nAnswer: a**(-401\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2\/31, -3, 0.1 in increasing order.\nAnswer: -3, 2\/31, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -588186 (base 9) to base 13\nAnswer: -c5007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y = -13*y + 3*z - 28, -15 = -5*z. Calculate the greatest common factor of y and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, s: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 341*f + 503*f - 983*f.\nAnswer: -139*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.2, 4684 in descending order.\nAnswer: 4684, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 2. What is the units digit of 1\/((b\/(-9))\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 7. What is the second smallest value in m, 2, -0.3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13.93 - 14.23. What is the nearest to q in -5, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1412 (base 7) to base 3\nAnswer: 202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 617183100 to the nearest 1000000.\nAnswer: 617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 28 (base 14) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3 = -4*t, -4*t - 4 = 4*x - 0. Suppose -m + 2*m + 8 = t. Let g be (m + 2)*(-1)\/2. Solve -4*v - g*p - 8 = -1, -v + p - 7 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/((g**19\/g)\/g)*g)\/(g*g**(4\/17)) assuming g is positive.\nAnswer: g**(-259\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11459675303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*p*z**3 - 11*p*z + 1326*p - 28*z**2 wrt z?\nAnswer: -342*p*z - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k + 107. Let l be h(0). Suppose -l - 73 = -4*s. Suppose -6*x + 51 = -2*x - 5*j, 4*x - 3*j - s = 0. What is the highest common factor of x and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 128.3 - 128.4. Let l = -3 + 3.3. Sort -0.5, l, t, 0.4 in increasing order.\nAnswer: -0.5, t, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 7*b**2 - 20*b + 17. Let h be u(1). What is the nearest to -1 in h, 0.33, 14?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3742977 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 269423 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 6.344811 hours?\nAnswer: 22841319600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + (-2 + 1 - (1 + -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from ymmyyymywymwmy.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (1 - 17)) + (55 - (58 + -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, s: 8, m: 2, a: 3}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4\/5, 1\/4, 10, 533, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1655 - -1667. Solve 5*j - g = 2*l, -10*l + 6*l - 4 = -5*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, s: 1, z: 2, e: 6}. Give prob of picking 1 z and 2 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-179)\/(-6) + 1\/6 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 - 37. What is the least common multiple of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56105 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -504243 = -5*p + 4*p. Let i = -747993 + p. Let j be i*(-51 - 6\/(-2)). Round j to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b - 32. Let v be o(-10). Suppose v*s = 9*s + 9. Let f(m) = -11*m - 3. Is 24 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 136550 and 68275?\nAnswer: 136550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 9*u + 2. Let v be r(0). Solve q - v*y = 42 - 55, -2*y + 3 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 277 - 41. Is (b\/5)\/(2\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3133325?\nAnswer: 5, 13, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*k - 2493 = -785*k. Let v(z) be the first derivative of 5*z**2 + 1\/2*z**4 + 4*z + 8\/3*z**k - 47. Let v(w) = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*5*(-6)\/(-45). Solve 8*j**3 + 97*j**2 - 6*j - 97*j**2 - o = 0 for j.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/36)\/((-8)\/6). Let x = -47\/35 + 8\/7. Which is the closest to -1?  (a) x  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2035*g = 1951*g + 1512 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -11. Let n(w) = 1. Let j(r) be the second derivative of -r**3\/3 - 5*r**2\/2 - 2*r. Let h = 3 + -2. Calculate d*n(z) + h*j(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7\/2, 1\/9.\nAnswer: 1\/9, 7\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86209*z**2 - 27950*z**2 + 33019*z**2.\nAnswer: 91278*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -42  (b) 1  (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -3*a**4 + 2143557*a**3 + 8574261*a**2 + 10717839*a + 4287138 = 0.\nAnswer: -2, -1, 714523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2874480, -2874482, -2874484, -2874486, -2874488, -2874490?\nAnswer: -2874492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-142)\/71 + (662 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from czczzzc. What is prob of picking 1 z and 2 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 - 2*f - 7. Suppose 9 = 10*b - 7*b. Let q be i(b). Solve -q*w - 3 + 13 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1554 and 101\/48?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/24 and -44\/14001.\nAnswer: 112008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8939890 and 6790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.15 + 5. Let j = h + -5.85. Let y = j + 6.004. What is y rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -664 = 49*c + 270 + 46 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**5 + i**5 + i**5 + (-2*i**2 - 29 + 29 - 7*i)*(0*i + 0*i + i**3).\nAnswer: -3*i**5 - 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.135782 decades to months.\nAnswer: 856.29384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = -4*n - 7*y + 3*y, -5*y = n - 54. Suppose -56*z + 286 = -n*z. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 4*s - 5*n = 938, 0 = -2*s - 2*n + 652. Let p = s - 314. Solve -5*x + 3 = -p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -332*q - 5973. Let s be j(-18). Let x(v) = v - 4. Let o be x(6). Solve 15 = -2*u + i, u - 20 = -s*i - o*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 320316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -204*f + 3877. Let n be u(19). Suppose 0 = -4*k + 2*k + 14. Let d = -9 + k. Sort 0, -1, n, d.\nAnswer: d, -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-3 + sqrt(567)*-2 + sqrt(567) + -1 - ((sqrt(567) - (sqrt(567) + 1))*-1 + (sqrt(567) + sqrt(567) + -1*sqrt(567))*-4)))**2.\nAnswer: -2430*sqrt(7) + 46152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/32 and -51\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 - -42022324?\nAnswer: 42022314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*(3*-2*sqrt(2448) + sqrt(2448)*1*-5)**2*-2.\nAnswer: 7108992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 680682532, 680682530, 680682528, 680682526, 680682524?\nAnswer: 680682522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -w - 0*w. Suppose -n + 4*r - 20 = -3, 4*n + w*r = 22. What are the prime factors of n + 1\/((-4)\/(-76))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73957910 a multiple of 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.51 and 133.297?\nAnswer: -67.98147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 4*d + 9. Let r(x) = -39*x - 33. Let q be r(-1). Give b(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.7, -7, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.1 - -5.1. Which is the closest to 0?  (a) -5  (b) u  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 217053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 39 = -5*d - 4*m, -4*m = -5*d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9140, 18278, 27416?\n\"Answer: 9138*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22971*j + 18 = 22980*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -21310 (base 4) to base 2\nAnswer: -1001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1231, -3896, -11133, -25228, -48467, -83136, -131521, -195908?\n\"Answer: -381*z**3 + 2*z - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of w**6\/30 + 19*w**4\/24 + w**3\/3 + 11. Let j(q) be the third derivative of b(q). Find the first derivative of j(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3952980 is divided by 148.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of 3*l - l**3 - 3\/2*l**2 + 1\/4*l**4 + 42. What is r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 2*f + 20. Let z(w) = w**3 + 3*w**2 - w + 4. Let s(y) = y**3 - y**2 + 1. Let k(b) = -2*s(b) + z(b). Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -8. Suppose -v + i*v + 7 = h, v + 8 = 2*h. Let x(o) = 4*o + 2. Let u(f) = -8*f - 5. Determine h*x(p) + 2*u(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 1) + -12 + 13 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**4\/9 - 20*q**3\/3 - 208*q**2\/9 - 16*q = 0. Calculate q.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -924988 (base 12) in base 16?\nAnswer: -22ee78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 9:07 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, l: 1, j: 2, h: 1, v: 1}. What is prob of picking 1 l and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-6))\/(-16 + 17)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/3 - 818*k**2\/3 - 3968*k\/3 + 9696.\nAnswer: -2*(k - 4)*(k + 9)*(k + 404)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -10581, 15.\nAnswer: -10581, -10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 10*x + 150. Let m = x + -65. Suppose -6*s + m = -56. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/52032 and 83\/4.\nAnswer: 52032","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00018513 to six decimal places.\nAnswer: -0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52*(2 + (-12)\/8) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*u - u**3 + 5*u + (3*u - 3*u - 5*u**3)*(-1 - 5 + 5).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -8*z**5 + 236*z**4 - 1660*z**3 - 1508*z**2 + 4740*z - 1800 = 0.\nAnswer: -2, 1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2871417091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-2) + 2*(-1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 20 = 2*y - 3*p, 5*y - 78 = -4*p. Let x = y + 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9 + -3*(-25)\/(-15). Suppose 4*k = -2*f + 1918, -570 = -2*f + n*k + 1388. List the prime factors of f.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23483441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -86 + 371. Let x = s - -227. Let y(o) = o**3 + 4*o**2 - 7*o + 2. Let h be y(-5). Calculate the greatest common divisor of x and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-65)\/(-78)*(7 + -1). Let j be 4 + 2 + 6\/2. Suppose j = 2*t - 1. What is the highest common factor of t and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a5 - 8dd?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - m**2 - 3*m**2. Let i(v) = v. Determine l(i(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (((-3)\/(-6))\/(-1))\/(2\/(-116)). Let s = w - 24. Suppose s*l = 2*n - 29, 25 = 7*n - 2*n - 3*l. Solve 0 = 6*y - n*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -129*u**3 + 5*u**2 - 6*u + 8. Let z(x) = 137*x**3 - 4*x**2 + 5*x - 7. Determine 4*s(d) + 5*z(d).\nAnswer: 169*d**3 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t**4 - 1216*t**2 - 41784*t?\nAnswer: 36*t**2 - 2432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -60*g**2 - 16*g + 1. Let f(q) = 28*q**2 + 8*q. Calculate -5*f(u) - 2*n(u).\nAnswer: -20*u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7235 - -6466.4. Let t = 850 + f. Let i = t - 75. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0703*0.2\nAnswer: -0.01406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, q: 16}. What is prob of sequence qxqx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2402 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 142850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 149, 98, 31, -46, -127, -206, -277, -334?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/(-24) - 34\/(-6). Suppose z*u - 2 = -k - k, 0 = -3*k - 4*u + 3. Let x = 442\/5 + -88. Is k less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*g - 1 = 0, -2*g = -5*h - 7*g + 40. List the prime factors of 21 - (h - 2) - -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -10*q. Let m(d) = -2*d. Let r(c) = -3*i(c) + 16*m(c). Let p(l) = l**2 + 8. Give p(r(v)).\nAnswer: 4*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*n = -366, -6*u - 3*n = -3*u + 549. Let p = 258 + u. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/315*-5)\/(-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1726, -3092, -4456, -5818, -7178?\nAnswer: -8536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1295, -3794, -7507, -12434?\nAnswer: -18575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*m = 152 + 136. Calculate the greatest common factor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 615167.1 minutes in days?\nAnswer: 427.199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13746221 is divided by 844.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -a - a + 9, -a = 3*n - 6. Let h(w) = 4*w**2 - 7*w - 3. Let z be h(7). Let x be (2\/6)\/(12\/z). Solve n*m - 5 = x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**6)\/(s*s**(-4)))**(-10\/7)*(s*s**(-1\/4))**(-41)\/((s*s\/((s**(-6)\/s*s)\/s))\/(s**(1\/3)*s)) assuming s is positive.\nAnswer: s**(-4427\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1347, 2759, 4221, 5733?\n\"Answer: 25*w**2 + 1337*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -270556 divided by -4\nAnswer: 67639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 222684977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.01878*-0.1.\nAnswer: -0.201878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + c + 19. Let b be f(0). Let u = b - 9. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**11*g**4*g**(3\/11)\/(g*g**(-10)) assuming g is positive.\nAnswer: g**(278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xeoqpeeqxopeoxpxppq. Give prob of picking 1 e and 1 o.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -3*o**2 - 684063*o = 0.\nAnswer: -228021, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -81*g + 33. Let b(h) = 5*h - 2. Suppose -2*p + 4 = -0. Let q = -104 - -137. Give p*n(w) + q*b(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1088 = 21*y - 424. Suppose 0*u = -12*u + y. What is the nearest to 0 in -0.2, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4628 divided by 26990\nAnswer: 2314\/13495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (288\/216)\/((-80)\/12). Sort -1\/11, 1\/7, -0.3, s in decreasing order.\nAnswer: 1\/7, -1\/11, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*h**2 + 4*h**2 + 3*h**2 - 3*h**2 + 26 + 5*h**3 - h + 0*h**3 in the form z*h + j*h**2 + u*h**3 + y and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) -4  (b) 66  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1\/4, 2\/5, 3\/547, -57, 1, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -109 + 35. Let s = y + 53. Let m = s - -29. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 + -56. What is the common denominator of s\/(-6)*88\/48 and 41\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*n - 31 = 589, n = 3*h - 947. What is the common denominator of 117\/196 and ((-14)\/h*-365)\/(8\/3)?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**3\/3 - 4*a**2 - 38*a - 66. Let j be l(13). Is 26 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 6\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53244 divided by 3132?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 421  (c) -8  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 119  (b) -3\/5  (c) 174\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/((-8)\/((-20)\/5)). Suppose -7*v + 700 = -l*v. Is v > 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.425 take away 0.172?\nAnswer: -0.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 49\/5 of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22445478 to the nearest integer?\nAnswer: 4738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 375631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*i = 17*i + 14*i. Which is smaller: i or 2\/877?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*u - 2*u**5 + 13*u + (-4*u**3 + 8*u**3 + 5*u**3)*(0*u**2 - 4*u**2 + 3*u**2).\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -60*v**4 - 45*v**3 + 117*v**2 - 12*v + 228. Let g(q) = q**4 + q**3 - 2*q**2 - 4. Let t(a) = 57*g(a) + i(a). Factor t(n).\nAnswer: -3*n*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1.7, -0.2, -24, 8\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1884 - -3273. Suppose -5443 - y = -4*q. List the prime factors of q.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-158)\/(-237))\/(2\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13120.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k - 2 - 96 = -79*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.0264 times 8107\nAnswer: 214.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 22.9.\nAnswer: 9.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2617590 minus -33370?\nAnswer: -2584220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00109161 rounded to five dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 495587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 413 a factor of 1200995834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13 + -19196a0?\nAnswer: -19196b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 412796286 to the nearest integer?\nAnswer: 20317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 69*p**2 + 1229*p + 1348. What is w(-35)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319768 is divided by 306.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26\/7 + 4. Let h = 40.8 - 30. Let d = 11 - h. What is the nearest to 0.1 in 4\/7, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-28\/3))\/(n**(-10\/3)\/n)*((n*n**17\/n*n)\/n)**(-34) assuming n is positive.\nAnswer: n**(-1687\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((r\/(r*(r*r*r**(-3\/5))\/r))\/r)\/r)\/r)**34\/(r**(2\/5))**(-2\/65))**48 assuming r is positive.\nAnswer: r**(-1803168\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -34. Let f(s) be the first derivative of -1\/2*s**2 + 1 + w*s. What is f(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {e: 4, i: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*y + 35*y + 44452 - 45348 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176 = -5*d + 31. Let m(t) = -t**2 - 27*t + 68. Let y be m(d). Solve 6*c - c - y = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a + 4. Let m be s(8). Is 52*33*m\/(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 39708078 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 7*p - 1. Suppose -5*c + 26 - 1 = 0. Let k be b(c). Suppose -4*v = 4*y - 32, 3*v + 0*v - 2*y = k. What is the smallest common multiple of v and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 3\/278, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, h: 1, r: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 420\/35*(-9)\/(-57)*(-14)\/126.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -122 - -111. What is the third smallest value in -1\/5, n, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*a = 101*a + 140 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 21*p + 2. Let a be i(21). Solve 0 = a*g - 2 - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30\/83?  (a) 76\/11  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -32*k + 35*k. Let u = k + -35. Sort 6, -2, u.\nAnswer: -2, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -r**3\/3 + 5*r**2\/2 - 5*r - 56. Calculate h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 9*i**2 - i - 4. Let m(v) = -26*v**2 + 3*v + 12. Let l(d) = -17*b(d) - 6*m(d). Is l(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 159286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -9 + 7 + (-9 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - c - 23 - 14, 4*c = -5*l + 27. Suppose 3*g + l - 67 = 0. Solve 20*u = 24*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178088 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: Expand (-4 - 3 + 4 + (7 - 3 - 2)*(3 + 2 - 4) + 4 - 3 + 13)*(-2*h + 14*h + 14*h).\nAnswer: 338*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 7*h**2 + 6*h - 2. Determine o(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.772 - -0.072. Let z = -11.7 - c. What is the fourth biggest value in z, -1\/3, -0.1, -0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(4*w + w - 2*w) + w + 0*w + 6*w + (-w + w + 2*w)*(0 - 1 + 3) - 4*w + 3*w + 0*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of v**7\/378 + 17*v**6\/1080 + 4*v**5\/135 + v**4\/54 - 19*v**2. Let k(d) = 0. Calculate d.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b + 3*b + 9*b - 9*b - 6*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 75.65679 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k + 40. Give q(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8836 - -309233\/35. Calculate the common denominator of y and 4 + ((-1100)\/420 - (1 - 1)).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j + 2. Determine u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 4:15 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-600)\/2*61\/24888*-34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-3))\/((-11)\/3). Let m be (16\/(-144))\/((-1)\/(-3)). Sort d, m, 1.\nAnswer: m, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/36 and -47\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**5\/20 + 3*m**4\/4 - 3*m**3\/2 + 4*m**2 + 1488*m. Determine t(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - q - 1. Suppose -g + 3 = 3*r, -r + 12 = 5*g - 3. Let c be x(g). Suppose c*j = 57 + 38. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31790*o**3 - 29707*o**3 + 15324*o**3.\nAnswer: -46173*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t**2 - 2*t - 2. Let w(m) = -3 + m - 5*m + 5*m - 4*m + 5*m**2. Let z(h) = 3*s(h) - 2*w(h). Let o(y) = 8*y**2. What is o(z(p))?\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 961348699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21877*b + 22995*b - 57018 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10092 or -10091?\nAnswer: -10092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 4:50 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*b = 2115 - 63 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p**3 + p**2. Let s(x) = -115*x**3 - 2*x**2 - 220. Let v(q) = -2*n(q) - s(q). What is the derivative of v(f) wrt f?\nAnswer: 321*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 13640, 13665, 13690, 13715, 13740, 13765?\n\"Answer: 25*t + 13615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - u. Let g(y) be the third derivative of 2*y**5\/3 - y**4\/12 + y**3\/3 + 69*y**2 + 22. What is -g(b) + 2*t(b)?\nAnswer: 2*b**3 - 40*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - ((-36)\/9 + 6\/3). Suppose 4*w = 5*d - 74 + 29, -4*d + 45 = -m*w. What is the remainder when 23 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a**2 + a + 1. Let x be c(-1). Let -f**3 - x*f + 7*f**2 + 11*f**2 - 14*f**2 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5979.3 + 6523. What is c rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ysyncsm. What is prob of picking 1 y, 1 n, and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m + m + 7*m to the form j + p*m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u + 3. Determine v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -275 + 279. Let a = 3 + -7. What is the closest to a in -0.3, z, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 2*o - 2. Let f(y) = -14*y**3 + 149*y**2 - 314*y + 54. Let b(t) = 18*c(t) - 2*f(t). What is i in b(i) = 0?\nAnswer: 2\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**19*r\/(r*r**(2\/37)*r) assuming r is positive.\nAnswer: r**(664\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-5)*(-260 + 352650\/1350)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -176.7855 * -2.\nAnswer: 353.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*f + 146*f - 131*f + 266 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1498*u + 253*u + 41838 = -511*u for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-5)*14660\/123144\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000106752054 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -118 or -2559?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6803 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -6*o**2 - 13. Let a(x) = -17*x**2 - 2. Calculate a(y(k)).\nAnswer: -612*k**4 - 2652*k**2 - 2875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(-8) - -2)*((-3380)\/(-46 + -19) - 0)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*u + 4*k, 0 = 3*u + k + 2. Let g(d) = -6*d - 6. Let v(h) = 1. Determine u*g(y) + 6*v(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1545144 micrograms in nanograms?\nAnswer: 154.5144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-356719\nAnswer: -178359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 12 + 11)*(5*j + 0*j + 0*j).\nAnswer: 95*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1585 + -1553. Let u(h) = h**3 + 5*h**2 + 3*h - 2. What is the lowest common multiple of u(-4) and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 893 and 1598.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**3*q*q\/(q\/((((q**5\/q)\/q*q)\/q)\/q*q)*q)*q)\/((q**(-2)*q)\/(q\/q**7)))**(-38\/3) assuming q is positive.\nAnswer: q**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -270, -1934, -6602, -15822, -31142, -54110, -86274, -129182?\nAnswer: -184382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 3 + 20820\/50 - 2\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 18 = x, 271 - 52 = 2*x + 15*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-10))\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 10003?\nAnswer: -10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*g = 17, 3*l - 18 = 12*g - 10*g. Let u(t) = -t**2 + 7*t + 4. What is u(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -419013*i. Let n(y) = -7*y. Calculate n(o(q)).\nAnswer: 2933091*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (2 - -1*11). Suppose k - 5*k = -v. Suppose 87 + 180 = k*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6224, -43, -1, -3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 162 = c - 0*c, -2*c = 4*u - 638. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-6) - 3\/(-2). Solve 5*m + s - 11 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) - (1 + sqrt(2448) - sqrt(2448)) - sqrt(612)*-1.\nAnswer: -1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, q: 1, j: 2, d: 2, h: 1, g: 3}. Give prob of picking 1 j and 1 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3996 divided by 3\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4102 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 36726 divided by -3\nAnswer: -12242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 25.481583ms?\nAnswer: 0.0000070782175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4888851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53280 divided by 40.\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence baje when four letters picked without replacement from {b: 2, e: 1, a: 2, j: 1, w: 2, u: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - 15*v**2 + 1. Give d(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p**2. Let w(k) be the third derivative of 7*k**4\/6 + 226*k**2. What is o(w(q))?\nAnswer: -3136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 0*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 + 7 + (1 - -12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/18*(-4)\/7)\/((-109)\/(601680\/160)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -15*o + 18*o. Suppose -v - 21 = -5*s + v, o*v = -2*s - 3. Suppose -5*x = -s*x - 118. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 7 = -5*q. Let l(w) = -2*w**2 + w**3 - 6*w**2 + 3*w + 5*w**q. What is the remainder when 16 is divided by l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 105 = -3*z. Let n = z - 31. Solve -6 = -3*m - 4*c - c, n*c - 27 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y + 2. Give i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-56)\/(-10) + 10\/25. Let h = l - 20. Is (5\/2)\/((-1)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 220\/154*(-21)\/(7 - 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of 0*i**2 - 2*i - 2\/3*i**3 + 4. What is the derivative of k(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**2*y**2 - 2*g**2*y - 7*g*y**3 + y**3 - 96 wrt g.\nAnswer: -4*g*y**2 - 4*g*y - 7*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3))\/((-76)\/1482)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 21.62449 nanoseconds?\nAnswer: 0.00002162449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -452415864712 plus 0.4?\nAnswer: -452415864711.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 + 38. What is the smallest common multiple of 54*136\/(-10404)*(-16 - 1) and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1324 and 662662?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07 - 9.07. Let r = -8 - n. Are 6 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 76323, 76293, 76251, 76191, 76107, 75993, 75843?\n\"Answer: -j**3 - 23*j + 76347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q, -q - q = 2*k - 24. Let n(o) = -k*o - 1 - 4 + 5. Let a(d) = 4*d. Calculate n(a(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -813485 - -4229544.\nAnswer: 3416059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/3244200 and 69\/68?\nAnswer: 55151400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -211780, 0 in descending order.\nAnswer: 5, 0, -3, -211780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 10*a**2 - 11*a + 12. Calculate z(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of -i**5\/480 + 31*i**4\/48 - 121*i**3\/16 + 84*i**2 + 2*i - 7. Factor k(v).\nAnswer: -(v - 121)*(v - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 459*w + 15810. Does 3 divide m(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68 and 111248.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204 = -4*t - 5*j, -t - 8*j + 4*j = -62. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 615651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 29 = -2*p, 3*y + p + 13 = 38. Suppose -y*f = f - 4*f. Solve f = -3*l - 3*z + 2*z + 13, 2*l + z = 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -253 - -252.6. Let p be (2\/3)\/2 - 1. What is the biggest value in 0.7, l, p?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36562.138 to the nearest one hundred.\nAnswer: -36600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/20 + 116\/10. Suppose -5*n - c = 124, c + q + 12 = -n. What is the units digit of (-90)\/n + (-4)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*((-1 - (-76)\/32) + 60\/(-160)). Let l(x) = 6*x - 2. Let b be l(3). Calculate the highest common factor of p and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 6  (b) 0.4  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -67604343.2 rounded to the nearest one thousand?\nAnswer: -67604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 479 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1758100711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 10 + 0 - (-2328 + 2369).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 3. Let b(h) = -4*h + 16. Let m(g) = 2*b(g) - 11*v(g). Let d be m(1). Solve r - d + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33.0065 - 33. What is o rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -779.37*-0.3\nAnswer: 233.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 5 = -i. Solve 3*x + 1 + 0 = -i*m, -5 = -3*x - 2*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -q**6\/120 - q**5\/20 + q**4\/6 - 5*q**3\/3 + 32*q**2. What is the units digit of m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3\/5 - 88*g**2\/5 - 19*g + 534\/5 = 0. Calculate g.\nAnswer: -3, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 335 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/342 and 73\/266.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 91*n + 1. Let t be b(-1). Let k = -57 - t. Suppose -6 = x + 5*h, x - 2*h = -2*x + k. What is the lowest common multiple of 4 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 - 41. Let g = 72 + -71.99. Let k = -0.51 + g. Which is the nearest to -0.1?  (a) q  (b) 1\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3917, -10848, -17779, -24710, -31641, -38572?\n\"Answer: -6931*g + 3014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r - 22. Let o be s(6). Suppose -5*w + w = o*p - 92, 97 = 2*p - w. What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10*(-3)\/(-8) + 4. Which is smaller: -3\/28 or d?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22580314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 + 317*t**2 + 22935*t - 353925.\nAnswer: (t - 13)*(t + 165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 28  (b) -0.2  (c) 3  (d) 0.07  (e) -0.3  (f) -103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3045 divided by -21?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -554*x + 541*x + 104 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (-9)\/(18\/(-3728)). Let n = -6443 - i. Let l = 337419 - n. Round l to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.2355 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336*y + 343*y - 35 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 6:57 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 77495641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -445.9588 + 446. Let k = i + -2.0412. Is 70 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**3 + 0*a**3 + 5*a**3 + ((-1 + 4 - 2)*(-4*a + a + 2*a) - a + 2*a - 3*a)*(0*a**2 + 7*a**2 - a**2) to the form l*a**3 + t*a + w + m*a**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 16 + 5 = 0. Suppose 2 = 10*x + 122. Let k be (x\/15 + -2)*-5. Calculate the highest common factor of c and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1195319424?\nAnswer: 2, 3, 13, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 105 + -102. Suppose 3*a = -3*r + 21, -20 - 21 = -v*r + 2*a. Find d, given that -2*d**4 + d**5 + 2*d**2 - 3*d**5 - 9*d**3 + r*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 67861, 134644, 201429, 268216, 335005, 401796, 468589?\n\"Answer: o**2 + 66780*o + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 85355.49 years?\nAnswer: 1024265.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 <= 67622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 4. Let n(l) = -l - 4. Let x be n(0). Let t = x + 3. Sort t, 2, z in ascending order.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7, 6, -23, -104, -261, -518, -899, -1428?\n\"Answer: -4*w**3 + 10*w**2 - 3*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**2 + 209*w + 6. Give q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5*n - 193, 0 = -2*d + 4*n + 43 + 49. Calculate the greatest common divisor of 78 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 8 = -4*i, -2*i + 3*c - 45 = -37. Let x(g) = 16*g**3 - g**2 + 1. Determine x(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*l - 10*l - 16. Suppose l*x - 2 = 6. Suppose -2*o = x*k - 3*o - 54, k - 2*o = 27. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 (base 14) in base 13?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, s: 1, v: 1, i: 1}. What is prob of sequence sv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -10 - (6 + 1 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4440 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 230\/61 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovpovpvpovopovv. Give prob of sequence vo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2. Let h(z) be the third derivative of 0 - 11\/12*z**4 - 21*z**2 + 0*z + 0*z**3. Calculate h(q(f)).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11311 + -11291. Solve -36 + a = 16*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2133211101 (base 5) to base 14\nAnswer: 874d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 13. Put -3, n, -2 in decreasing order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**5 - 208*p**4 + 7002*p**3 + 30672*p**2 + 23463*p = 0.\nAnswer: -237, -3, -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005125216 to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4807 * 0.0441.\nAnswer: -211.9887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 27*p - 216. Let r be y(8). Solve -10*g + 13*g + 12 = r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/33))**(-29)\/((q**11\/q)\/q**(-5)))**(-1\/17) assuming q is positive.\nAnswer: q**(524\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56299?\nAnswer: 56299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 4*z - 1955, 5*j - z + 2*z = 3281. Let l = j + -230. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q = -18. Let k(r) = r**2. Let d(j) = j**2. Let w(x) = q*d(x) - 5*k(x). Let n(t) be the third derivative of -t**4\/12 + t**2. Give n(w(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.9896 - -195243.\nAnswer: 195241.0104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*c = 7, 5*t - 3*c = -5*c + 8. Suppose 0 = -2*l + 5*l - 33. Suppose 0 = -2*h + 3*w + 29 - l, 2*w = h - 10. Solve 0*b + h = t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 727*z**2. Let b(j) = 106*j - 5. Give b(q(k)).\nAnswer: 77062*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - d. Let m be h(7). Let b be 24\/(-8) - 147 - 6\/3. Let f be b\/m - (-4)\/14. Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -188082399\nAnswer: -1\/62694133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/285?  (a) 616  (b) 0.3  (c) -1\/3  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {i: 3, w: 5, a: 3, v: 2, y: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -7*b**5\/20 + 109*b**4\/12 - 74*b**3\/3 - 42*b**2 + 199*b + 16. Factor m(v).\nAnswer: -(v - 14)*(v - 2)*(7*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -694159, -694172, -694199, -694246, -694319?\n\"Answer: -n**3 - n**2 - 3*n - 694154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 11:14 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7260 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -5*y**4 - 795*y**3 - 31725*y**2 - 61085*y - 30150 = 0.\nAnswer: -90, -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 4:40 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -413 (base 5) to base 10\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(27\/12 - 3). Suppose s + 3 = -2*c, -4*c = -d*s + 14*s - 6. Put s, 4, -4 in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-42)\/(-8)*16\/(-6). Let u = -6 - z. Solve 0 = 3*y + 2*f + 11, -3*f - 2*f - u = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o + 2448 = -99*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from urfrfbdffduu. Give prob of picking 1 u and 1 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11857 is divided by 3923.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18328403657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 1:17 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 25 = 4*p. Suppose -3*u = -p*u + 14. Let h(w) = 18*w**2 - 6*w. Calculate the remainder when h(-1) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 555*l - 1098*l + 548*l = 6*s + 19, 7*s - 32 = -5*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4*m - 88 = 0, -5*c + 100 + 65 = -3*m. Is 36 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1569994.\nAnswer: 2, 181, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 498994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ac682b - -7d?\nAnswer: -ac679d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 23*a + 17. Let f(g) = -52*g - 35. Let w(j) = 4*f(j) + 9*n(j). Let r = -13 - -22. What is the remainder when w(r) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10755607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f + 29301 = 13*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -85\/3 + 1609\/57. Let i be (1 - -2) + (-76)\/26. Which is the closest to 2\/7?  (a) i  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1432465 to the power of 1\/2, to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3730 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 w(g) = g**3 + 13*g**2 - 18*g - 49. Let f be w(-14). Solve 4 = -4*p + 3*t - 1, -5*p - f = -4*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 53 + -77?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2018425 by -60.\nAnswer: 403685\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 4 = -4*v, -2*v - 3*t + 12 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 243535*q**5 + 353549*q wrt q?\nAnswer: 4870700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 143 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -572 + 631. Let a(o) = 8*o - 5*o - 2*o + 4*o + 6. What is the remainder when t is divided by a(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120080*y + 359437*y - 119652*y - 119697*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5832 divided by -216.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*i + 0*i + 4*i)*(6*i**2 - i**2 - 3*i**2) - i**3 - 1 + 1)*(-925 - 93*i + 925).\nAnswer: -93*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pnpnnepnpnnpennn. Give prob of sequence pnne.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7185?\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -j**7\/8820 - j**6\/840 - j**5\/210 - 5*j**4\/8 + 4*j**2. Let p(c) be the second derivative of z(c). Solve p(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63586 is divided by 92.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*u + 0*u**3 + 2\/5 + 2\/5*u**4 - 4\/5*u**2.\nAnswer: 2*(u - 1)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1555 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 38313\/648 + -60 - 2\/(-12)*-3?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146152 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (-10 - 7) - 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ff + 19c42?\nAnswer: 19b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 74782 and 267386?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*j + 4. Let y be (j\/(-6))\/(1\/10). Which is the third biggest value?  (a) 1  (b) y  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/2 + -16 + 21. Suppose -5*j + 3 = -l. Solve 3*f + 5*n + 36 - 11 = 0, j*n = f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5b - 6b2?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 9 - 1 = -i, -15 = 4*i - 3*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*v - 35*v**2 + 25*v**2 + 14*v**2 = 0 for v.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558042 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1550*h**3 - 6.\nAnswer: 1550*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62577?\nAnswer: 3, 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 0 + 1 - 2*o**4 + (-5*o**4 + 6*o**4 + 13*o**4)*(1 - 1 + 6) to t*o + w + m*o**4 + r*o**3 + h*o**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1506*g + 3*o = -1513*g - 44, 3*g + o + 18 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1695 - 1695.0000002175. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3d63 + 13c87?\nAnswer: dd24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2855953015?\nAnswer: 5, 4241, 134683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 - -0.3. Let j be 27\/10 + (-9)\/3. Let t = 1\/30 - j. What is the third biggest value in t, -3\/7, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 + 10212021?\nAnswer: 10211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -286.159899 + 313853?\nAnswer: 313566.840101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -213*u**2 - 309*u**2 + 145*u**2.\nAnswer: -377*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (9*221\/(-1092))\/((-48)\/(-64))*-21\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 6*d**2 - d + 11. What is s(-7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 7, -5, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4675 - 8580. Let l = -3747.3 - v. Let b = l - 151. What is b rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m. Let c(b) = 3*b**2 - 7*b**2 + 7*b**2. Determine h(c(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61\/7 + 326\/35. Let z = 2.2 + 0.8. Put -5, -7\/2, k, z in decreasing order.\nAnswer: z, k, -7\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 519, 19, 0 in decreasing order.\nAnswer: 519, 19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 1534?\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (1*(-3)\/12)\/(1\/(-8692))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vsu when three letters picked without replacement from {u: 7, s: 2, v: 4}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17)*4*4)**2 - ((-4*sqrt(170) + sqrt(170) - sqrt(170))\/sqrt(10) - sqrt(17))**2.\nAnswer: 3927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3*(sqrt(56) - sqrt(1400)) + (sqrt(504) - -2*sqrt(504))\/sqrt(9))\/((sqrt(8) - ((-1*sqrt(72) - sqrt(72)) + sqrt(8))) + sqrt(72)\/(-1*sqrt(9))).\nAnswer: -9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d\/(d*d**(1\/22))))\/(d*d*d\/d**5))\/(((d*d*d**(6\/25)\/d)\/d)\/d**(-23)) assuming d is positive.\nAnswer: d**(-10557\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 12. Let z(c) = c**3 + 6*c**2 + c + 8. Let h be z(f). Find the second derivative of -x - x - h*x**4 + 3*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {g: 1, r: 2, u: 7, t: 3, c: 2, w: 5}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or -41\/50?\nAnswer: -41\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0206 - -35.8794. Let u = 36 - v. Let r = 129\/4 + -32. Which is greater: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(5) + 2 + (-2 + sqrt(5) - sqrt(5)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1029 and 27325662?\nAnswer: 1338957438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-54)\/36)\/((-3)\/4). Find the third derivative of 2*r + 12*r**s + 2*r - 8195*r**6 + 8313*r**6 - 4*r wrt r.\nAnswer: 14160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1676340 divided by -139695?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1213*g = -229*g + 45264 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/141 - -29182\/705. Let m = k + -41. Factor 0*n**3 - 2\/5*n**4 + m*n**2 + 1\/5*n**5 - 1\/5*n + 0.\nAnswer: n*(n - 1)**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19734, -3, 5, -16 in descending order.\nAnswer: 5, -3, -16, -19734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.245927 and -5.14596459.\nAnswer: -7.39189159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57865 is divided by 94?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4\/3 - 8*n**3\/3 + 4*n**2\/3 + 8*n - 6.\nAnswer: -2*(n - 1)**2*(n + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 141165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/8 and (-3)\/(2 - 70\/(-65)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 8. Calculate g(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2666853812 by -4.\nAnswer: 666713453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244*f + 26*f + 34*f = -2392 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 716939 is divided by 716917?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3398840815 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 106?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70079 is divided by 329.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwtttw. Give prob of picking 4 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -138930000 to the nearest one million.\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 6*k - 6. Let y(l) = -l - 1. Let t(h) = j(h) - 6*y(h). Let v(q) = 33*q - 10*q + 31*q + 49*q. What is v(t(g))?\nAnswer: 103*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*i - 17*i = c - 7767, -5*c + 2*i = -38939. List the prime factors of c.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -k + 9. Let m = k - 7. Calculate the highest common divisor of m and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 4*j**5\/225 + j**4\/90 - j**3\/45 + 2*j**2 - 9*j. Let i(m) be the first derivative of a(m). Factor i(r).\nAnswer: 2*(2*r + 1)*(4*r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y - 8. Give v(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 63*u + 97. Let j be h(6). Let s = 736 - j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17*c + 7*c + 10*c + 75*c**2)*(2 + 1 + 2) to the form p + f*c**2 + v*c and give f.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 2*s + 6. Suppose p = -2*j - 0 + 8, 5*j + p = 20. Let i be r(j). Is 6 a factor of 116\/8 - 2 - 1\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d - 38 = 45*d + 809 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 3*a**2 - 2*a + 13. Let i(p) = -p**3 - p**2 + p - 1. What is 2*i(o) + k(o)?\nAnswer: -o**3 + o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1200)*-5 + sqrt(1200) + sqrt(1200))\/((1*sqrt(180))\/sqrt(5)).\nAnswer: 70*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence acrm when four letters picked without replacement from {x: 2, a: 1, c: 1, m: 2, r: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 16*g**2 - 14*g + 11. Let u be k(15). Let j = -12 + u. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(125) + 0 - sqrt(125) - sqrt(125)) + sqrt(5) - (sqrt(90)\/sqrt(2))\/sqrt(9)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10\/149 - 4400\/1043. What is the common denominator of -1 + 1*(-9)\/10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of 1\/2*u + 1\/10*u**5 + 1\/2*u**4 + u**3 - 2 + u**2. Find i such that n(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 5:45 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 4*j**3 + j + 4*j**3 - 28*j**4 - 5*j**3 + j**2 - 3*j**3 in the form t*j**2 + s*j**4 + g*j + h*j**3 + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 2*l - 3479, 4*l - 4612 = -a - 3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.07 - 16.07. Let s = i + 22. Let w = 4 - s. Which is the second biggest value?  (a) -1  (b) w  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, -3, -4.2, -1\/7, -54, 2\/7, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**4 + 23202 - 4*i**4 - i**3 - 23207 + 17*i**2 to the form z*i**3 + c*i + y*i**2 + b*i**4 + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 7*p**2 - 4*p - 4. Let m(x) = 132*x**2 - 77*x - 77. Let f(q) = 77*l(q) - 4*m(q). Suppose 5*b = 6 + 9. Let r(o) = 3*o - b*o + o. Calculate f(r(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 491 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/6 + (709788\/8 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -1588  (c) 0.4  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/13?  (a) -0.07019  (b) -1\/22  (c) -5\/2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 9*n + 22. Let t(l) = 17*l - 189. Let c be t(11). Let r be b(c). Let s(d) = -5*d - 14. Let p(u) = 2*u + 5. Give r*s(k) + 11*p(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -2. Let l(c) = c + 11. Let s be l(n). Let y be 3\/24*s*6. Solve z + y*z + 5 = 3*v, 5*z = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04*-127237.\nAnswer: 5089.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 - 2*k**2 + 2*k**2 + (0 + 2 - 5)*(-3 + 3 - 5*k**3).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/31))**(-29)*(j**(-2)*j)**24 assuming j is positive.\nAnswer: j**(-686\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**9\/n**(6\/5))\/(n*n*n\/(n*n\/n**(1\/4)))**(-1\/21))**(-1\/3) assuming n is positive.\nAnswer: n**(-3301\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - 3*u**2 + 3*u**2)*(-u + 0 + 0) + (58 + 64 - 24)*(u**3 - u**3 - 2*u**3).\nAnswer: -198*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-11)\/(-2) - (-5 + (-18)\/(-4)). Suppose m*h + 26700000 = 16*h. What is h rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108093 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -82 - -96. Let h = 13.38 - s. Let v = h - -0.32. What is the third biggest value in v, -4, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 5. Calculate x(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4183*f**2*i**2*u**3 + f**2*i**2 + 2*f**2*i*u**2 + 367*f**2*u**3 - 77*i**2*u - 513*i**2 wrt u?\nAnswer: -25098*f**2*i**2 + 2202*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjyj when four letters picked without replacement from jjjjjyjjjyjjyjjjjjjj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.688 + 0.312. Let v = -3\/5 + 1\/10. Which is the biggest value?  (a) v  (b) 2  (c) -2\/5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 116*g - 722. List the prime factors of q(107).\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2584 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -65 + 4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 1347.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 584 divide 17858720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1662*93\nAnswer: 154566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**4 + 886*o - 1067.\nAnswer: 4*o**3 + 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -9b?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j = -7*j + 214830. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22596 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 11:06 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (14 + 9\/(162\/(-279)))*(-17)\/(-34)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -14. Let n be 10\/(-2) + 12\/6. Calculate the remainder when ((-38)\/n)\/(u\/6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -11*w + 13*w. Suppose -w*m = -40 - 9. Let n(l) = 3*l + 1. Let r(o) = -5*o - 3. Calculate m*n(g) + 4*r(g).\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16.1 - -16. Let q = 63.7 + 1.3. Let h = q - 70. Sort h, -0.2, -4, x in descending order.\nAnswer: x, -0.2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -7*k**3\/6 - 44*k**2 - 28*k. Let m be s(-13). Solve p + m = -1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 355 and 10721?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -46*o**3 + 71*o**3 + 2*o**4 + 1 - 12*o**3 - o**2 + 1 - o as u + g*o**3 + t*o**4 + v*o**2 + m*o and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 11 - 1)*(-3*r**2 + 5 - 5).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrrhhhh. What is prob of sequence hr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2 - 46298*d + 1531114. Calculate s(33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 116 + 242 + 0*t - 126.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4441 and 66.45?\nAnswer: 295104.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/18927 and 61\/2052.\nAnswer: 1438452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.6 - 0.7. Let k = -7.7 + 8. Let a = m + k. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s + 14. Give h(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.22 - 5.7. Let y = -0.19 + -0.19. Let p = y - d. Which is the biggest value?  (a) 1  (b) 0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/110*2332\/106\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**5 + 1080*y**4 - 19528*y**3 - 3232*y**2 + 60708*y - 39032 = 0. What is y?\nAnswer: -287, -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 - 2190 = -7*y. Let l = -265 + y. Solve 5*z = -r + l, 7*z = 3*z + r + 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of r**5 + 105*r**4\/4 - 115*r**3\/3 - 105*r**2\/2 + 110*r + 53. Factor z(w).\nAnswer: 5*(w - 1)**2*(w + 1)*(w + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 2*w - 2*w)*(w**2 - w**2 - 2*w**2)*(1 + 1 - 4)*(0*w**2 + w**2 - 4*w**2).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-700)\/80)\/((-35)\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -191063175?\nAnswer: -191063175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 - 274 = -5*p. Suppose 4*d = 3*z - p, d = 3*z - 8*z + 55. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 10908*h + 54465.\nAnswer: 3*(h - 3631)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i = 61 - 89. Solve -28 = -2*m + 5*h, 0 = 4*m - 0*h - i*h - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1003, -1961, -2919, -3877?\nAnswer: -4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**2 - 12*f + 4. Calculate d(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-5) + (-1004)\/(-20). Calculate the greatest common divisor of 561 and f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.136882895 to four decimal places.\nAnswer: 0.1369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5*11\/(-165)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4 - ((-292)\/(-24) - 4) and 101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 62 + -311\/5. Suppose -4*j + 8 = -3*o - 7, -3*j + 6 = 3*o. Are x and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -10*i + 10. Let q be 6\/(-4*5\/(-10)). Let j be c(q). Let t = j + 20. Solve t = -h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*c**2 + 19 - 19 to the form y*c**2 + k*c + v and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3938\/(-1896) + 6\/8. Let m = -1\/158 + h. Let g = 181\/3 + -61. Which is the nearest to 2?  (a) g  (b) -4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8732493.\nAnswer: 3, 7, 11, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3510466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -35062 or -35064?\nAnswer: -35062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/4 and -47\/30913?\nAnswer: 123652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 541 = -t + 4*t, -4*t - 1072 = -4*w. Let p = 444 - w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000117516296 to 6 dps.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 68\/442 - (-30494)\/26. Let j = 1818 - y. List the prime factors of j.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20.9 + -20.65. Which is the third smallest value?  (a) -0.4  (b) 4\/3  (c) 1  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 21 = -61. Let x be (-4)\/10 - (-126)\/t. Let k = 23 + x. Calculate the remainder when 37 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 12:14 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6635.485471 rounded to the nearest integer?\nAnswer: 6635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 9, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28963481 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - 20. Solve 5*y = -4 - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/7 and -79\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2 + 113*-668)\/(-235 + 233)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f**3 + f**2 + 4*f + 10. Let m be j(-3). Let g = 65 - m. Solve 8 + 0 = -g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5497, -10894, -16293, -21694, -27097, -32502, -37909?\nAnswer: -43318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 3.7. What is the biggest value in 4, 0.1, 11, n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - g = -24, 0 = 3*g + 2*g + 5. Solve -5*c - 4*a + 29 = 0, 2*a = z*c + 5*a - 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-2)\/(-6)*-2)\/((-1)\/321)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 plus 488?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3, -7\/3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 3*b - 274, -290 = -3*b + 9*d - 13*d. Let c(u) = -b + 27 + 26 + u**2 - 8*u + 33. What is c(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -152\/5?  (a) 3  (b) 2  (c) 4  (d) -344  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17.08241 and -9.4.\nAnswer: 160.574654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**3\/6 - p**2 - 160*p. Determine j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -474011 - 30*w**3 + 474011.\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 7:03 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 286 divided by -11\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 4*l - 8*l)*(7 - 7 - 2*l**2)*(-l + 2 - 2).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (3 + 5) - -11) + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 27 = -46. Suppose -4*j = -5*v + 3 - k, 0 = -v. Solve -4*x - 5*n = 31, -j*x - 4*n - 14 = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 35*c + 347924 = -764429. What are the prime factors of c?\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39974464 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 2*b + 0*b)*(2*b**3 + 2*b - 2*b)*(2 + 5 - 5).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2189*x - 8689 with respect to x.\nAnswer: 2189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -460.5529 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 30*h - 103003\/2*h**2 + 11. Let l be t(10). Round l to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -171, -334, -497, -660, -823, -986?\n\"Answer: -163*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/8 - 25234\/(-88). Suppose -38*h + 31*h = a. Let p = 90 + h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/53 + -88\/477. Let d be ((-6)\/4)\/((-24)\/(-50)) + 3. Sort o, 3, d in descending order.\nAnswer: 3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7280 and 280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (1 + (3 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 2*t + 2. Let i be q(2). Let l(p) = -4 - 16*p - 13 - 5*p - 6 - 2*p. Let u be l(-1). Solve -i*w - 9 + 1 = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 249090 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -16 - -5 - (-266 - -302 - (0 + 16))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 + 762208*f\/3 + 72620129408\/3.\nAnswer: 2*(f + 190552)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14147947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -3, -0.4, 1.2, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-7)*i*i*i**(-3\/8)\/i*(i**(1\/5))**(-1\/12) assuming i is positive.\nAnswer: i**(-767\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of d**4\/28 + 5*d**3\/7 - d**2\/14 - 15*d\/7 + 362. Solve t(o) = 0 for o.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1812 - 1109. Calculate the highest common factor of w and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 divided by 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -3*c. Suppose -5*t = -4*k - 45, -5*k + 3*t - 43 = -3. Let f(l) = -l + 1. Let j be f(k). Let n(h) = j*h - 4*h + 0*h. What is n(o(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -16  (b) -3\/5  (c) -3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/15  (b) -7  (c) -1638\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 264\/5*z**2 + 2\/5*z - 2\/5*z**3 - 264\/5 = 0.\nAnswer: -1, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7928*v**2*z - 57*v*z + v - 15*z wrt v.\nAnswer: -15856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2044.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(272\/(-85))*(-1)\/((-3)\/(-12))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3941 and 3.\nAnswer: 11823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 10:03 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 42 and -1.7.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1259\/1847 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 4)*(2 - 2*z + 4*z + z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590 = -49*r - 1619 + 102 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 10 = 7*u. Suppose 4*k - 4*j = 140, 0*k + j = u*k - 66. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -21.522795508 and 0.4.\nAnswer: -21.122795508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 0*q**3 - 18*q**2 - 31*q**2 - 16*q**3 - 21*q**3 + 31*q**3 in the form m*q**3 + u*q + w + c*q**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36705 and 30?\nAnswer: 73410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 137442*f**2 - f + 986863 wrt f.\nAnswer: 274884*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -4  (c) 1  (d) 6\/7  (e) -116  (f) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**4 + 18714631*r**2 + 685347*r + 70 wrt r?\nAnswer: -24*r**2 + 37429262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 24*v**2 - 4*v - 9. Determine o(-24).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**(-5\/6))\/p**(2\/47) assuming p is positive.\nAnswer: p**(787\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/33708740 and -94\/448785.\nAnswer: 303378660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1946, -2367, -2778, -3179, -3570, -3951, -4322?\n\"Answer: 5*r**2 - 436*r - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 240003.03 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6092, 20286, 42576, 72962, 111444, 158022?\nAnswer: 212696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 5\/9, -2, -2\/11, -2\/21 in decreasing order.\nAnswer: 5\/9, -2\/21, -2\/11, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0029046 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3361.191 microseconds?\nAnswer: 0.00005601985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61 + -59. Let m(b) = -3*b - 2. Let x be m(-6). Does 4 divide (0 - (-1)\/u)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8 and -7890159844022.\nAnswer: -7890159844014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 45*-0.6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -802 - 750. Suppose 2*w - g = -0*w. Find the second derivative of 2*x - 13*x**2 + 388 + 5*x - w wrt x.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88608 and 7100?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 54172183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-36)\/(-10) + (-18)\/(-45). Find the second derivative of -41*d**2 + 41*d**2 - d - 5*d**c wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92803?\nAnswer: 17, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(-10)\/(-3) - (-2)\/(-6). Let g = 11 - u. Let p be 5 + 1\/g*2. Solve 3*q = q + 4*c + 10, p*q - 4*c = 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00074388718 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 16*i**3 + 3*i**2 + 3. Let p(h) = h**3 + h**2 + 1. Calculate 3*p(y) - t(y).\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0207622705 rounded to 5 dps?\nAnswer: 0.02076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(209)*-6 + sqrt(209) + sqrt(209) + -1*-1*sqrt(209))*-2)\/(3*sqrt(77)\/(1*sqrt(7)*-4))*3.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/9)\/((-58)\/261). Solve i + 0*i = -5, r*i - 5 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from xxxxcxsxxsxsxxsxxss.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.0041819 to three dps.\nAnswer: 9.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 118931161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 445 and 443 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -1387976.967976.\nAnswer: -1387972.967976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -9, 9 in descending order.\nAnswer: 9, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of 0*h + 12*h**2 - 1\/2*h**3 + 3\/16*h**4 - 1\/40*h**5 + 0. Find t such that b(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -3. Suppose -x*f + 37 = -158. Suppose -3*j + 3*w + 60 = 0, -3*j - 2*w = 4 - f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/6, 0.3, -964.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 112 - -28. Suppose -14*i = -34*i - v. Put -2, i, 12 in descending order.\nAnswer: 12, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3377754 and 2982.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 1194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27874303 divided by -12.\nAnswer: 27874303\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -26 + (-5 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -308.629 + 2943.827\nAnswer: 2635.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30286 - 24*w + 14*w + 11*w + 19*w**2 + 17089.\nAnswer: 19*w**2 + w + 47375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 24 = -5*n - 16, 2*n - 5*s + 43 = 0. What is the remainder when 7 is divided by 10*(5 + n\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -4*y - 55, 5*y - 6*y = c - 30. Let f be (-2 + -1)*c\/3. What is the tens digit of (f\/(-28))\/((-2)\/(-152))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -12. Suppose t = -3*c - c. Let x(p) = -2*p**2 - 1. Give x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2141 is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25*x - 71*x + 11*x)*(1 - 1 + 1) + 1 - x - 1 + (0 - 3 + 1)*(-2*x - 1 + 1) + 2*x + 5*x - 2*x to the form w + m*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 57*z**2 - 6 + 6*z**2 - 6 - 5*z. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-1 - -2)\/2. Let d be 14 + -13 + 2641\/l. Suppose -d = -2*r + 3644. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*u + 7*u**2 - 33*u + 10*u.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.7 bigger than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (46 - 45 + 76*n - 189*n + (2 + 1 - 2)*(n + 5 - 5))*(4 + 3 - 6)*(1 + 0 - 11)*(1 - 2 - 1) to the form w*n + g and give w.\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 57726709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -1) + -1 + 69 + -73?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 682, 2\/165, -37 in descending order.\nAnswer: 682, 2\/165, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m + 6*m - 2*m)*(-148 - 147 + 322 - 152) to the form i*m + s and give i.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-20)\/24*(-30)\/20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -412 + 168*g**3 - 713 - 2705 - 67*g**3.\nAnswer: 101*g**3 - 3830","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*y + 1)*(-3*y + 4*y - 3*y) - 21*y**2 + 14*y**2 - 23*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8473666\/39 + -217232. Let v = 80\/13 - h. Let c = -35 - v. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*k - k = 136, -2*k - 30 = -x. Let j be (-3 + 28\/4)\/1. Let q be 3\/(j*(-4)\/(-208)). Calculate the greatest common divisor of q and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2. Suppose -3*r - w = 1, 0 = -r - 2*r + 4*w - 11. Let d be (3 + -3)\/(0 + r). Let z(o) = 3 + d*o + 4*o - 3. Determine q(z(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -5*q + 6 - 1, -3*t = 5*q + 19. Let p = t + 8. Suppose 2*x = p*l + 49, 5*x + 2*l = l + 55. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 11 = 2*b - 0*b, -b - 2*y + 7 = 0. Let u be (-4 - -2)*(-2)\/b. Suppose u*f - 4 - 228 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -220 - -269. Let r = 50 - 24. What is the remainder when s is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2 - 0. Let x(w) = -3*w**3 - 2*w**2 - 2*w**3 + 2*w**3 + 2*w + 4*w**3. Let y be x(h). Which is the second smallest value?  (a) -1\/7  (b) y  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78 - 25. What is the remainder when t is divided by (27\/(-4))\/((-6)\/16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 22*v - 1584. Let m be i(72). Solve m = -24*u + 43 + 29 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 4*s = -3*f + 155, 273 = 5*f + 3*s. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y**3 + 72*y**2 - 8*y - 178. What is b(14)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.27 or 17952?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 796\/39 - 1309942\/64181. Are t and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v**2 - 11*v - 38. Determine c(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 713\/12 - 235\/4. Let b be (-2)\/12 - 2\/(-4). Factor -b*i**3 - v*i - i**2 + 0.\nAnswer: -i*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4956799 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: Rearrange -3*a - 3 + a**2 - 86*a**3 + 92*a**3 + 2 + a to the form i*a**2 + g*a**3 + s*a + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 159 + -27. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1298.51 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 6:05 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -1499*b + 326743. Calculate s(218).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 7*l**2 + 2*l - 8. Let k be p(7). Solve 3*x - 8*x = 5*r + 15, 0 = -2*x - 3*r - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = x + 253, 0 = -7*u + 4*u + 5*x - 163. Let s = 45 + u. Let g be (s\/18)\/(3\/45). Which is the biggest value?  (a) g  (b) -2\/17  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1211757421?\nAnswer: 7, 83, 113, 18457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -83.4 - -5.4. Let b = 78.0039 + k. What is b rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -144843500 rounded to the nearest 100000?\nAnswer: -144800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -10*d**3\/3 - 201*d**2\/2 - 4477*d - 2685. Find the first derivative of z(h) wrt h.\nAnswer: -20*h - 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + ((6\/(-8))\/(-1))\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 144861 + -95125. What is the ten thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41002530 (base 6) in base 7?\nAnswer: -12630264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/39 + 12\/78. Let p(m) = 7*m - 116. Let u be p(16). Put -5, u, f in increasing order.\nAnswer: -5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 2*d - 6, -z - 2*d + 6 - 3 = 0. Suppose 6*v + z = 3. Solve -3\/4*p**3 + 0*p + 1\/2*p**2 + v + 1\/4*p**4 = 0 for p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.451 - -0.151. What is the second biggest value in 0.5, -2\/7, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16286.37l to millilitres.\nAnswer: 16286370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3435 and 2460.\nAnswer: 563340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -729598*f**4 + 345*f**2 - 830*f wrt f.\nAnswer: -17510352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 58, 106, 150, 190, 226, 258, 286?\n\"Answer: -2*w**2 + 54*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of 16*g**7\/147 + 8*g**6\/15 + 73*g**5\/70 + 43*g**4\/42 + 11*g**3\/21 + g**2\/7 + 4*g. Solve r(c) = 0 for c.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6*t + 0*t - 7*t. Let d(x) = -14*x**2. What is d(u(l))?\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.347539, 2, 2\/101?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*2*-2*-2 - (sqrt(19) + (sqrt(114)*-1)\/sqrt(6) + -5*(sqrt(19) + 0)))*-1.\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 31*k**2 - 4*k + 4. Let z(m) = 35*m**2 + 5. Give -5*g(l) + 4*z(l).\nAnswer: -15*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300 = 149*u - 49*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -8700\nAnswer: -1\/1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + 4*m + 36. Suppose -6 = o - 1. Let x = o - m. Solve 0 = -k + 2*k + 4*g - x, 5*g = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(684) + (sqrt(171) + (sqrt(171) - sqrt(171)*-2))\/sqrt(9).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3 - 1\/3*g**2 + 1\/3*g.\nAnswer: -(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*d**2 - 159 + 312 + 2*d**2 - 153.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101221020 (base 4) in base 7?\nAnswer: 14520011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 5*g - 20, 15*g - 14*g = p - 4. Solve -k - f - 4 = -2, 0 = p*f - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -11, -17, -27, -41, -59, -81?\n\"Answer: -2*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/40*20\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 716 and 4?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**8\/2016 - n**7\/210 - n**6\/80 - n**5\/90 + n**2 - 4. Factor a(d).\nAnswer: -d**2*(d + 1)**2*(d + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2731 + -2563.7. Let p = 145 - j. What is p rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-240)\/(-63))\/(-10)*(-3)\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wslw when four letters picked without replacement from rgwlrrrwmrgglrrwws.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -7072*q + 247142. Calculate r(35).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 625878 and 1566?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 2*s = 816, 2*l = -2*s - 88 + 484. Suppose 0*r + r - l = 0. Suppose 72 = -2*g - r. What is g rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -1\/6  (c) -4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, s: 2, p: 2, a: 1, k: 2, l: 5}. What is prob of sequence kesp?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of g**7\/14 - g**6\/10 - 9*g**5\/20 + g**4\/4 + g**3 + 43*g - 2. Suppose x(c) = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 98 times 0.3\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -3.1. Let q = 295\/112 - 5239\/1904. Which is the nearest to 2\/3?  (a) 2  (b) u  (c) 1  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545893 is divided by 189?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 5, 0, 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*j = 10, -p + 5*j = 2*p + 25. Let m(n) = -n + 2*n - 2*n - 5. Let z be m(-7). Sort 3, z, p in decreasing order.\nAnswer: 3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 50*s - 1092. Let r(v) = 27*v - 552. What is -6*b(i) + 11*r(i)?\nAnswer: -3*i + 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 292638, 292586, 292520, 292440, 292346, 292238?\n\"Answer: -7*c**2 - 31*c + 292676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213104.\nAnswer: 2, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/408 and 41\/66670?\nAnswer: 13600680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 + 17. Let w = -2 + 15\/8. Which is the third biggest value?  (a) w  (b) n  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/59?  (a) 110  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63757511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 110 = -4*z - 3*s, -3*z + 93 = 3*s. Suppose 2*h + 7 = -z. Let l = h + 25. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 6:18 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(294) - sqrt(6)) - sqrt(48)\/(sqrt(40)\/sqrt(5)))\/((2*sqrt(22)*-2)\/(-1*sqrt(44))).\nAnswer: -31*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40*(-7 - 105\/(-25)). Let w = 112 + x. Solve -2*c = p - w*p, -4 = -4*p - 4*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 18*m + 69. Let c(v) = 327*v. What is c(p(j))?\nAnswer: -327*j**2 + 5886*j + 22563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 13. Solve b = 2*z + 3 + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -8\/3*d - 2\/9*d**3 - 4 + 4\/3*d**2. Factor f(a).\nAnswer: -2*(a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -12*b**3 - 3*b**2 - 9. Let a(u) = -1. Suppose -2*p = 2*m - 3 + 7, 2*m + p = -3. Let t(j) = m*h(j) + a(j). What is the third derivative of t(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 6*s + 7. Let a(i) be the third derivative of i**4\/24 - 2*i**3\/3 - 4*i**2. Let h be a(-3). What is the tens digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -8  (c) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 - 7*b + 7*b)*(-1 + 4 - 1 - 1 + 0 + 2 - 1 - 2 + 2 + (-3 - 3 + 4)*(-6 + 2 + 2) - 4 + 1 + 5 - 34 + 134 - 49 + 104).\nAnswer: 326*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/6 - (-5)\/(-15). Suppose 13 = i - a. Suppose -5*c + 94 = 5*s + i, 6 = 3*c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166565 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-54)\/(-72)*(1 + -9). Is x greater than or equal to -22\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2*c**5\/13 + 912*c**4\/13 - 12120*c**3\/13 + 34916*c**2\/13 + 97590*c\/13 - 422100\/13 = 0.\nAnswer: -469, -3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 124387 = 138141. Let s be z\/(-35) + 1\/5. Let a be 5*24\/(-9)*s. What is a rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48505409846\/43633 + -1111668. Let m = 1178399\/6719482 - i. Find the common denominator of (-121)\/(-6) - -2 - 1 and m.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14337004?\nAnswer: 2, 11, 23, 31, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -194335, -15, 5, -1, 0, 2, -4 in decreasing order.\nAnswer: 5, 2, 0, -1, -4, -15, -194335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -12, -3, 13 in ascending order.\nAnswer: -12, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, -110\/7, 31, -1\/3, -7?\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a - 2*a + a)*(-a**3 - 6*a**3 + 3*a**3).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*o + 5041, 2*o + 3*u - 1244 - 1271 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-36 + 37)\/((-17442)\/(-3488) - (10 - 5)) and 8?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0 - -5) + (153 - 154)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-84)\/14)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - m**2 - m. Let i(o) = 7*o**3 - 56*o**2 + 35*o. Let c(n) = -i(n) + 5*j(n). What is the second derivative of c(p) wrt p?\nAnswer: -12*p + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 4 - 46*s**3 + 2.\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*j + 15*j - 3 + 2 + 11*j in the form c + x*j and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.2 + -47976429601.06?\nAnswer: -47976429625.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-9))\/(20\/(-6))*-5*-40. What is the greatest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 918028 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373503 is divided by 206?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*a = -75*a + 507 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12667111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 290386*0.15.\nAnswer: 43557.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, f: 1, i: 3, b: 1, e: 5}. Give prob of sequence iab.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/8976 and 125\/9655184?\nAnswer: 28965552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of 0*o**4 + 0*o**5 + 0*o**6 + 0*o - 1\/10*o**7 + 0 - 24*o**2 - 2*o**3. Differentiate k(b) with respect to b.\nAnswer: -84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 4:20 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 - a + 1. Let u be (-2 + 3)*1\/(-1). Let d(q) = 5*q**2 + 8*q - 7. Let b(s) = 82*s + 322. Let r be b(-4). Give r*n(c) + u*d(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 726 - 743. Let o be 1 + -4 - 17\/(l\/4). Which is smaller: 253 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 10*h**3 - 5 + 2*h**3.\nAnswer: 12*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -181.7463787 less than 2?\nAnswer: 183.7463787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(1458)*-2 + 1 + -1*1*(-1 + sqrt(1458) + sqrt(1458))*-1)**2.\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 8. Let q = 146.11 + -146. Which is the smallest value?  (a) q  (b) 0.1  (c) n  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + j - 0 + 49, j = 4. What is the second derivative of 24*h**4 - 7*h**4 - 30*h + b*h wrt h?\nAnswer: 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22080 divided by -2\nAnswer: 11040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -112\/5 - -22. Let u = 2.5 + -1.9. Let l = u - -3.4. Which is the biggest value?  (a) 2  (b) l  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41*56\/(-8610)*165\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 86\/9 or 9?\nAnswer: 86\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.8 - 3.99. Let z = n - -0.19. Let x = -1.2 + 1. Which is the biggest value?  (a) z  (b) x  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 30 = c. Let s(n) = n - 2. Let p be s(c). Let b be 1\/1 - 1 - 3. Sort p, b, 0.\nAnswer: b, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32*z**3 - 110*z**2 + 2 + 4 - 4 + 6*z**4 - 34*z**3 wrt z.\nAnswer: 144*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9282240 divided by -5?\nAnswer: -1856448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -11. Suppose 0 = -w - 3*w - 2*l + 8, 2*w - l - 4 = z. Suppose 43 = w*k + 11. What is the lowest common multiple of k and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/(5289\/44462)*(-27)\/99.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzoe when four letters picked without replacement from {z: 3, u: 4, e: 2, h: 1, o: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5*k - 555, 3*k + 3*q - 333 = -2*q. List the prime factors of k.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-160)\/26 - (-2)\/13. Let h = w + 10. Suppose -14 = -z + 4*r, -h*r + 6*r = -3*z + 98. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -234 - 4?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-25)\/15)\/((-1)\/3). Let n = -1 + 3. What is the first derivative of n*l**3 + y*l + l - 6*l - 3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/7)*g*g*(g**3\/g)\/g)\/(g**(-5)\/(g*g*g**(-1\/5)\/g)))\/((g\/(g**(-2\/3)*g))\/(g**(4\/3)\/g))**(-1\/10) assuming g is positive.\nAnswer: g**(359\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (56\/490)\/((-2)\/5). Let h be ((-2)\/7)\/(-4 - (-31)\/7). Which is the third biggest value?  (a) -2  (b) u  (c) 2\/9  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 611*k + 40892 + 5816 + 13248 = -542*k for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -g**4\/3 - 64*g**3\/9 - 128*g**2\/3 + 34. Let w(m) = 0. Calculate m.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 285*g**2 + g - 1. Let z be y(1). Suppose -10 = -3*v - 5*w, 5*v = 4*w + w + 30. Suppose 5*a - z = -4*n, v*a = 4*n + 351 - 66. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*q, -2*a - a - 3*q = 81. Let f = a - -30. Let l(r) = f*r**2 + 6*r**2 + 0*r**2. Let p(v) = 5*v**2. What is l(p(o))?\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4972 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) 2\/9  (c) 1646491  (d) -1\/6  (e) 3  (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, y: 1, u: 2, q: 1, p: 2, s: 1}. Give prob of picking 2 p, 1 q, and 1 s.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1953 divided by 9?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-22)\/5 + 4\/10. Let w = -88 - -87. Suppose 2*x - 2*q = -4, 0 = x - 3*x + 5*q - 4. Put x, y, w in descending order.\nAnswer: w, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21513 - 54609 = 2424*u + 57038 - 19232 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of x**5\/12 - 31*x**2. Let p(c) be the first derivative of -2*c**2 - 5. What is p(q(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3128023961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/25, -0.2, -51, -2, 18793, 5?\nAnswer: 18793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 918736459 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of 3*v**8\/28 + 53*v**6\/6 - v**5\/10 + 722*v**4 + 2740*v + 1. Find the third derivative of p(h) wrt h.\nAnswer: 720*h**3 + 6360*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -7. Suppose -166 = -5*j + 114. Calculate the highest common factor of y and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3382*b**2 + 3280*b**2 + 6272*b**2.\nAnswer: 12934*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9967 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 6:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -10*v - 26. Let w be p(0). Let j(b) be the first derivative of 2*b**3\/3 + 19*b**2\/2 + 49*b + 3. Is j(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from xxtexxttttttp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 3*z + 3*z + (1 - 2 - 1)*(-6*z + 3*z + 4*z) + 2*z - 3*z + 0*z + 0*z - 2*z + 4*z)*(2*z - 2*z - 2*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zljdjns. What is prob of picking 1 n, 1 s, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*o*p**6*z - o*p**2*z**2 + 5*o*z**2 + 6*p**6*z**3 - 2*p*z**3 wrt p?\nAnswer: 720*o*p**3*z + 720*p**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**0*t**(-10)\/t*(t\/t**(-5\/4))\/t*((t\/t**(-2))\/t)\/t assuming t is positive.\nAnswer: t**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00287 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - -6) + 3 + (345 - -3)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 - 256 = -12*k. Solve -33 - 27 = k*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 233*s**2. Let a(z) = -173*z + z**2 + 348*z - 175*z. Calculate a(m(h)).\nAnswer: 54289*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282 = -3*f + 4*f. Suppose 5*d = -17 + f. Let k = -48 + d. Solve k*x + 3 = 8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -33875, -68931, -103987, -139043, -174099, -209155?\n\"Answer: -35056*r + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -10431, -83750, -282757, -670296, -1309211, -2262346, -3592545, -5362652?\n\"Answer: -10474*w**3 - w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4 - 4. Let u be 4\/n + 2\/(-4). Suppose 2*o - 3*d + 4 = u, d = -5*o - 3*d + 36. Solve k + k = -o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -12*i. Let z(y) be the second derivative of -161*y**3\/6 + 45*y - 5. What is v(z(c))?\nAnswer: 1932*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 1. Suppose -12 = -2*j - 2*j. Let q(i) = -i**3 - 7*i**2 - 8*i - 9. Let c be q(-6). Let w(m) = 3*m - c*m + m + j - 5. What is w(t) - 3*z(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -10*y + 342. Let r(f) = 5*f - 178. Let d(t) = 27*r(t) + 14*x(t). Let o(b) = -b + 42. What is o(d(z))?\nAnswer: 5*z + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.494298 days in milliseconds?\nAnswer: 215507347.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 506 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -244, -227, -176, -73, 100, 361, 728?\n\"Answer: 3*s**3 - s**2 - s - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - ((-1 - 0) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 227358 divided by -1\nAnswer: -227358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 29 + -10b?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2102.98 + 2077. Let k = p + -0.02. Let u = -26.017 - k. What is u rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2*12295720.\nAnswer: 14754864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 6020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = -42*n + 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 70 - 10. Suppose 2*g + o = 7*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1790.\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 31*c**3 + 4. Let l(d) = -340*d**3 - 45. Determine -45*i(j) - 4*l(j).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*r - 5782 = 308*r + 172*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -7 + 2 + -11 + 19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 12:37 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(288)*2 - sqrt(288) - sqrt(288))*5)\/((sqrt(72)*-1)\/sqrt(6)))\/(-3*sqrt(64)\/(sqrt(288)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.94201 + -0.05799. Let r be 0 - -3*(-1)\/1. What is the smallest value in r, 2, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12 + -7 - 1)\/6. Let o = -48.085 + 0.085. What is the closest to n in 2, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041878 rounded to four dps?\nAnswer: -0.0419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 11*r**2 - 2*r - 8. Let v be o(-10). Let n be (49\/28)\/((-2)\/v). What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -99  (c) 3  (d) 973  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -179, -364, -559, -764?\n\"Answer: -5*j**2 - 170*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12.1 - 12.2075. What is v rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4698284.\nAnswer: 2, 1174571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 13*h**2 + 24*h - 1. Let b be v(-6). Suppose 0 = -12*d - 0*d + 684. What is the greatest common divisor of d and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*n**2 - 44 - 8*n**2 + 44)*(400 - 400 + 120*n) in the form c*n + r*n**3 + z + j*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s**3 - 92094605385*s - 40*s**3 + 92094605385*s.\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -546 = 190*y + 784 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.4  (c) 0.123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (18\/8)\/((-33)\/(-528)). Sort 1, -1, -5, p in increasing order.\nAnswer: -5, -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43818613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 1)*44\/(-110) - 3460\/4450.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 25\/9 - 6\/(-27). Find the third derivative of 10*d**5 - 10*d**5 + g*d**2 - 11*d**6 + 0*d**2 wrt d.\nAnswer: -1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 + (-47)\/(-82)*-23)*(-94)\/235\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584)*2 - -2*sqrt(88)\/sqrt(2) - 3*(-1 + sqrt(704) + sqrt(704))*6)*2)**2.\nAnswer: -37440*sqrt(11) + 2975696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -10*n - 10*n + 19*n. Determine x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z**2 - 5*z**2 + 17*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(153)\/sqrt(3)*2)\/((sqrt(27)*1 - sqrt(3)) + sqrt(3)).\nAnswer: -1 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55 and 3890073.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104.4 + 97. Let f = -54 + i. What is f rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -45*b + 5. Let x(y) = -91*y + 11. Determine -9*h(k) + 4*x(k).\nAnswer: 41*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -508 = -93*p - 43 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18159, 36370, 54581?\nAnswer: 72792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-1\/3)\/v*v*v**(-2\/21)*v*v)\/(v**(-1\/9)\/((v**(2\/3)\/v)\/v)) assuming v is positive.\nAnswer: v**(85\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -2*i + 2, w - 10*i - 2 = -6*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227 = -568*g + 2613. Let n be (-33)\/6*(-7 + -1). Sort g, -3, n in increasing order.\nAnswer: -3, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 52 = 2*b - 0*b, 0 = 4*i - 20. Let c = b - -52. What is the remainder when (-16)\/24 - (-238)\/6 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 4. Let z be l(-3). Let t be 4\/(14 + -2)*(z - -1136). Suppose -4*x + 0*r + 359 = r, -3*r - t = -4*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + g + 1 - 3, -5*l + 4*g = 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 1070*t + 18192. What is m(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.9 - -1.9. Let i = -7169 - -35529\/5. Let k = i - -63. Which is the biggest value?  (a) d  (b) 0.2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22\/17 - -1093\/884. Let h = 5\/26 - f. What is the nearest to h in 6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32 in 0.1, -0.2, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/26)\/(m*m*m*m**7*m*m))\/(m**(-17)*m**(-2)\/m*m) assuming m is positive.\nAnswer: m**(181\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4476595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + h + 498 = 3*c, -2*h - 5*c = 262. Let i = 341 - h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 300 + 4015255?\nAnswer: 4015555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1776*u + 213 - 213.\nAnswer: -1776*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4008 - -3993 - (1 + -39)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/6*k**3 - 1\/6*k + 0*k**2.\nAnswer: k*(k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 + 5*k**2 - 5*k - 2. Determine b(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 104705442?\nAnswer: -104705438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (2 - -1) + (0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yt when two letters picked without replacement from dydytyytytrtrttrdy?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*s + 179*s + 4425 = -26*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + 0)**2*-2.\nAnswer: -3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a factor of 976167567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6460 (base 9) to base 10\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 0 + 0*v**3 + 1\/24*v**5 + 18*v**2 - 1\/4*v**4 + 0*v + 1\/720*v**6. Let p(k) be the second derivative of l(k). Determine p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2934159 to the power of 1\/2, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnnbnnnnbnnbnn. What is prob of sequence bbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r - 1. Let k = 5 + -9. Let z be s(k). Let o be 3\/((150\/(-4))\/(-5)). Which is the second biggest value?  (a) -0.4  (b) z  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/1 + 20\/5. Suppose 0 = -g*k + 9 + 11. Solve -u + k*b = 20, -2*u = -b - 8 + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v - 2. Let p(i) = 4*i - 3. Let t(k) = 8*b(k) - 5*p(k). Let y be t(1). Suppose -22 = 35*s + 13. Put y, s, -3 in increasing order.\nAnswer: -3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k + 10120 = 33*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) -77  (c) 2\/11  (d) -6\/7  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 589 and 138415.\nAnswer: 138415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2 = 8. Let z(j) = j + 7. Let b be z(-4). Find the first derivative of -3*v + 2*v**p + b*v - 1 wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**3*k*r*s**3 + 553*f**3*r**3*s**2 - 2*f**2*k*r*s**2 + f**2*k*r + 16*f**2*r**3 + 3*k*r**3*s**3 wrt f.\nAnswer: -12*k*r*s**3 + 3318*r**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3573, 7144, 10715?\n\"Answer: 3571*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/20 + 6\/15. Suppose 6*p = 14*p + 8. Put j, 8, p in ascending order.\nAnswer: p, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21.6 - 22. Let i = 1.9 - 2.5. Let x = t + i. Which is the biggest value?  (a) x  (b) -3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2648)\/5958 - -3*(-4)\/(-6)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -453?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2 - 10983*q - 164070.\nAnswer: -3*(q + 15)*(q + 3646)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 609*p - 9143. What is u(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3024957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tgttgta. Give prob of sequence tg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -87037942.\nAnswer: 261113826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 15423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 + -98. Let w = 374 + n. Suppose -z + 3*x - 4*x + 159 = 0, 2*z - 4*x = w. List the prime factors of z.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 39.14 and -4.\nAnswer: -156.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7 and -2860027?\nAnswer: -2002018.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26787, -26776, -26753, -26712, -26647, -26552, -26421, -26248?\n\"Answer: v**3 + 4*v - 26792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 97532 from -4.\nAnswer: -97536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 13*y + 23. Let k be j(11). Let p be 9 - 2 - -1*k\/1. Solve -3*r - 25 = -p*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 335 - 285. Let v be (33\/44)\/((-15)\/b). Let n = 6 - 5.7. What is the biggest value in n, 2\/15, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.341124cm?\nAnswer: 0.05341124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4938510 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11202 + 120210122?\nAnswer: 120222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2668\/(-28) + 8\/28. Let v = -92 - y. Suppose 0 = -v*d - 7*d + 420. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 269?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -9. Let v = 1.95 - -0.05. Let m = v - 1.9. What is the closest to m in 2\/15, i, -2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -fc (base 16) to base 7\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -6, 5 in ascending order.\nAnswer: -6, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**2 + 285*l + 58. Calculate y(57).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(102) + sqrt(102) + 1*sqrt(102)) - 1*sqrt(102)*2)\/(sqrt(6) - sqrt(18)\/(sqrt(15)\/sqrt(5)) - -2*2*sqrt(6)).\nAnswer: 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*n + 2 + 5*n - 60*n - 52*n - 5*n.\nAnswer: -17*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 2*x**5\/15 + 7*x**4\/18 - 2*x**3\/9 + 13*x. Factor j(q).\nAnswer: 2*q*(q + 2)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -8 - 11 + i**2 + 1 + 16*i. Let g be j(-17). Let t be 1 + 2 + -2 - 2. Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, 3\/7, -29, 0, 2\/5 in decreasing order.\nAnswer: 3\/7, 2\/5, 0.06, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of y**8\/5040 - y**7\/140 + 3*y**6\/40 + 43*y**3\/3 + 31*y**2 + 2*y. Let f(k) be the first derivative of w(k). Factor f(j).\nAnswer: j**2*(j - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l. Let h(g) = -56*g**2 + 2*g + 1. What is h(v(f))?\nAnswer: -1400*f**2 + 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 6*y - 4. Suppose -2 + 11 = 3*g. Let k be g*-4*3\/6. Give s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1 - 1) + -3 - -3) + -3637 + 3644 - -24.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 13*h**2 - h - 3. Let k(r) = -38*r**2 + 3*r + 8. Calculate -3*k(f) - 8*v(f).\nAnswer: 10*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -123\/4 or -1\/1562?\nAnswer: -1\/1562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 36864*b**4 + 3318528*b**3 + 74718724*b**2 + 1555560*b + 8100 = 0.\nAnswer: -45, -1\/96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of 4*c**6\/3 - 160*c**3\/3 + 14*c**2 - c. Differentiate a(t) wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141307931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (62\/(-93)*(-3)\/4)\/5.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -403 = 9630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 545 + -545.0002445. Round s to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -8 - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 9*c - 15. Calculate y(-7).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*z + 2*z + z)*(2*z**4 - 2*z**4 + 3*z**4) + 3*z**5 + 2*z**5 - 4*z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -469  (b) -6  (c) 2\/15  (d) -1\/5  (e) -3\/8  (f) -2  (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.77 - 1.07. Let p be -3*4\/24 - (-221)\/338. Which is the nearest to 1?  (a) j  (b) -224  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6005 + 34967 + 2*y - 9739)*(-2*y + 4*y - 4*y).\nAnswer: -4*y**2 - 62466*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/8676, -12\/11, 1\/9, 1\/6, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -161*i + 170*i - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + 12. Is 2 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-4)*(-49)\/42*60\/(-200)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -2521503 (base 8) in base 13?\nAnswer: -1b5424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6 = 0, o + 8 = -2*s + 3*o. Suppose -8 = f + 3*f - y, -y = 3*f + 6. Is 15 - (f\/(-1) + s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-8) - -1)*28. Let i = h + -13. Let w be -4 - (3 + -7 + i). What is the second biggest value in w, -2, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -197112.\nAnswer: -1\/197112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45704646 and 702.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 646 = -70*w + 72*w, 4*j - 3*w - 514 = 0. What is the lowest common multiple of j and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 41, -3\/4, 3\/2, -1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 147 + 5 + 626*p + 340 + 111*p**2 - p**3 - 146*p - 2*p**3.\nAnswer: -3*(p - 41)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 565 = -m - 587, -8 = 2*m - g for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*i - 5*r + 21 = 0, 0 = -3*i + 2*r + 80. Put -4, i, 4 in descending order.\nAnswer: i, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -414111223 (base 5) in base 13?\nAnswer: -479cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15, -32, -47, -60, -71, -80?\n\"Answer: m**2 - 20*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + z = -7 + 22, -z = -5*j + 27. Suppose -2*q - 2*m = -14, 2*q = -4*m + 2 + j. Calculate the highest common factor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10.7, 2\/7, 2\/11.\nAnswer: -10.7, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 267763?\nAnswer: 267763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.03817 months to years.\nAnswer: 1.1698475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2548 and 3822?\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -20*f**2 + 13*f - 7. Let r be u(16). Let l = r - -58967\/12. Find the common denominator of l and 77\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1051 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 102 + -86.5. Let q = v - 6.7. Let a = 8.80371 - q. Round a to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30684\/221 - -2036\/17. Let i = -42236261\/8879910 - 3\/113845. Let z = l + i. What is the common denominator of z and -36\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 - -25. Sort 0.05, v, 5\/6.\nAnswer: v, 0.05, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 14*a**2 + 4*a + 10. Let g(c) = -c - 8. Let p be g(-13). Let h be r(p). Suppose h = b + 4*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 65324 + 108?\nAnswer: 65432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -32031 (base 4) in base 13?\nAnswer: -54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*1*((-495)\/20)\/(-11). Let j be ((-10)\/(-45))\/(1\/n). Solve 2*q = -2*q + 4*z + 8, -j = -5*q - 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*h + 97*h - 11 = -173*h - 3*s, -3 = 3*h - 3*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*x**2 - 24179 - 24226 + 48405.\nAnswer: -44*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/8 - (-77)\/(-44). Let x be ((-12)\/15)\/(64\/(-30) - w). Suppose 7*g + 3*m = x*g + 281, g = -2*m + 285. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 7. Let y be v(-8). Let i(n) = 6299999*n + 1. Let x be i(y). What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -3, 1, 2, 5 in decreasing order.\nAnswer: 5, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**2 + 2*w + 6. Suppose -v + 5*v - 28 = 0. Let n(y) = -10*y**2 - 2*y - 7. Let z(j) = v*f(j) + 6*n(j). Find the second derivative of z(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 534 = 349. What is the greatest common factor of 296 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 103 = -2*n - 5*j, j = 5*n - 217. Suppose 7*b = 2*b - 5*z + 270, b - n = -3*z. What is the remainder when b is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8771836, -17543674, -26315512, -35087350?\n\"Answer: -8771838*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeheeehchehkek?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**4 - 63*r**3 - 82*r**2. Let k(o) = o**4 + o**2. Let n(m) = -3*k(m) + z(m). What is the third derivative of n(b) wrt b?\nAnswer: -48*b - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 - -71. Suppose i - 5*g + 6 = 0, -k*i - g + 4 = -3*g. Suppose -2*w = -5*x - 6*w + 14, w = -2*x + 8. Calculate the remainder when x is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5520940 to the nearest 10000.\nAnswer: -5520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 299801\/4 at least 74950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1272*m**2 - 417*m**2 + 20 - 425*m**2 - 432*m**2 - 20.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*n - 176*n = -94*n + 48*n + 13840 for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*v + 297 = -19*v. Let f = v + -117. Let h = -0.329 - -0.029. Which is the closest to 1\/2?  (a) f  (b) 0  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118.408364 rounded to one decimal place?\nAnswer: 1118.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 + (20 - -3) + -5 - -32.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f**2 + 3011*f - 35841. Determine b(12).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i. Let k(g) be the second derivative of -g**3\/2 - 3*g. What is k(p(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.927314 less than -0.2?\nAnswer: -3.127314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*-6*(1 + sqrt(2)).\nAnswer: 15 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11\/(220\/(-24))*(-78)\/(-81). Let b = -4019\/9 + 446. Let k = b - c. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x - 1. Let f(w) = 3*w**2 - 21*w + 6. Let o(a) = -f(a) + 6*h(a). Let o(j) = 0. Calculate j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-13 - 7) + 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 4. Let d be r(2). Let g be -2 - (d + 1)*3. Solve -g = u + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*l - 2185, 2*g + 5*l + 289 = 1761. Suppose k - 2*t - 139 = 0, 3*k + g = 8*k - t. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6801, 13262, 19653, 25938, 32081?\n\"Answer: -6*y**3 + y**2 + 6500*y + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 494468171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 430538907 a multiple of 3412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 119 - (-4 - 20\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -187568, -375137, -562706, -750275?\n\"Answer: -187569*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u + 6. Let n(m) = 7*m + 12. Let l(r) = 4*n(r) - 9*p(r). Let k be l(10). Suppose k*y = 21 + 111. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qam when three letters picked without replacement from {m: 4, a: 1, g: 4, f: 1, q: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2729, 5007, 7285, 9563?\nAnswer: 11841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 565 divided by 3006.\nAnswer: 565\/3006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1943*b - 40953 = -4169*b + 56139 + 74044 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/24*8\/(4*-1))\/(223\/29436).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 8*m - 2. Let a be u(-5). What is the least common multiple of 22 and (-224)\/a*(4 + -1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 104, 2\/20355, -3, 8\/3, -1, 1\/4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 12924600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 30 = -5*a, -3*y - 2*a + 17 = -0*a. Suppose u - 1632 = y. Round u to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -288.00001713 - -288. What is a rounded to 7 dps?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.82775mg in nanograms?\nAnswer: 88827750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -33.675472 and -21?\nAnswer: 707.184912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 51*s**2 - 49*s - 4453. Determine n(-50).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/3  (b) -1  (c) 24  (d) -0.5  (e) 2\/7  (f) 0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4482*p**2 - 6657 wrt p.\nAnswer: 8964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -291, -311, -329, -345, -359, -371?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 56*a = -4*a + 27*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366996038.\nAnswer: 2, 183498019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-45)\/405 + (-1)\/(-9))\/(-2). Factor q - 2\/9*k**3 - 50\/9*k + 20\/9*k**2.\nAnswer: -2*k*(k - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-11)\/(-22))\/((66\/(-5088))\/(-11)) + -7. Is r <= 436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 2*j - 3*j)*(3 - 2 + 2)*((-122 + 122 + 36*j)*(3 - 2 + 2) + 4 + 2*j - 4)*(2 - 2*j**2 - 2).\nAnswer: 1320*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 9 = -2*g, g = 2*t + 2*t - 9. Let z be (t + 4 + -3)*1. Differentiate 2*w**z + 1 + 0 + 2 - 6*w**4 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3170 divided by 634\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 527 = 287. Let g be (-24)\/i - (-4 - (-816)\/(-15)). Is g equal to 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.95 - 1.04. Let u = 25.5 - 32. Let r = u + f. What is r rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8 + -0.0844.\nAnswer: -8.0844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -163, 1.9, 1\/6, 163, 3\/8?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -110880 divided by -420\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000470100097 rounded to 7 decimal places?\nAnswer: -0.0004701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1116 (base 9) in base 15?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 6876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4 - 18*n**2 - 8*n + 11*n**2 + 6*n**2. Let r be x(-8). Let u be 173\/(-5) - 28\/70. Sort r, -1, u in increasing order.\nAnswer: u, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3310*j**3 - 40 + 2643*j**3 - 5456*j**3 + 40.\nAnswer: 497*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 10, l: 1, g: 3, y: 2}. What is prob of sequence tt?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -10. Let v = -32 + 37. Suppose 0*k - v*k = -5. Put 7, k, m in descending order.\nAnswer: 7, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*7623.1.\nAnswer: 137215.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2935.508952 and 3.\nAnswer: -2932.508952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least -415\/94521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 83234, 83971, 84716, 85475, 86254, 87059?\n\"Answer: g**3 - 2*g**2 + 736*g + 82499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 302950 and 1596875?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/3)\/(2\/30). Suppose -3 = 2*r - t*q - 20, 0 = 5*q - 25. Suppose 0 = 22*j - r*j - 7. Calculate the remainder when 13 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 22*t + 86. Let a be v(-5). Solve g + a = -h - 2, 2*g - 2*h = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2789*j + 1994. What is the units digit of l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1417 + -1418. Which is greater: a or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*g**4 - 2*g**3 - 1815*g**2 - 6854 wrt g?\nAnswer: 24*g**3 - 6*g**2 - 3630*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s**5 + 367437*s**4 + 5510880*s**3 = 0.\nAnswer: -122464, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {u: 2, t: 1, z: 1, m: 1, k: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -14*((-4545)\/2727)\/((-4)\/(-6))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, h: 2, a: 1, c: 2, g: 1}. Give prob of sequence chh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 9:01 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 28. Suppose 0*k = -7*k + 133. What is the highest common factor of l and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-4*(sqrt(228) + sqrt(228)*-1)*5)\/((-2*sqrt(3888))\/(sqrt(12)\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - -119 - (116 - 29)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 13) to base 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 = -4*w + 3*f, 2*w - w - f - 39 = 0. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11424a (base 12) to base 10.\nAnswer: 276826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (92\/(-10))\/((-218)\/545). Calculate the highest common divisor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1527 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-17)*b**(8\/11) assuming b is positive.\nAnswer: b**(-179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 30*u**4 - 56*u**3 + 72*u**2 + 280*u - 488. Let w(q) = 11*q**4 - 18*q**3 + 23*q**2 + 93*q - 163. Let c(k) = -3*m(k) + 8*w(k). Factor c(d).\nAnswer: -2*(d - 10)*(d - 2)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-2)*q*q)\/(q*q*q**6))\/(q**(-3\/5)\/((q\/(q**(-3\/8)*q))\/q)))\/((q*q**(-1\/3))\/((q*q**(3\/8))\/q))**(1\/7) assuming q is positive.\nAnswer: q**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-4))\/(((-234)\/(-72))\/(-13))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12451303 - 34?\nAnswer: -12451340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 300.487nm in millimeters?\nAnswer: 0.000300487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 7*i + 8. Let t be u(8). Suppose t*j - 2*j + 42 = 0. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 0*r - 3*g = -51, 2*r + 4*g = 42. Let o = r + -4. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49 - -34. Suppose 0 = 4*p + 2*c - 20, 2*p + 3*c = c + 8. What is the remainder when ((-80)\/m)\/((-1)\/(-3)) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 6*l + 8. Let t be s(-7). Let f = 1581\/2 + -816. Let o = 26 + f. Which is the closest to o?  (a) 0.5  (b) -2\/3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -101 in descending order.\nAnswer: 4, 0, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 10435\nAnswer: 20870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 i when three letters picked without replacement from ccchccicdccccch.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2186444021?\nAnswer: 163, 13413767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2415453 (base 6) in base 5?\nAnswer: -13030334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 - 41*p**2 - 58*p - 12. Let y be q(-19). Suppose 4*z - 5*n = y, 0*n + 14 = 5*z - n. Solve 7*s + 24 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6859052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -713  (b) 3  (c) -1\/6  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -4*w + 32, -1 = 5*h - 21. Suppose 5*i + 2*o + 13 - 96 = 0, -5*o = w*i - 95. Solve 0*v + i = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-21))\/(-4)*76*59\/1121?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118404 by 286.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 150 + 3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**3 + 4*p**3 + p**3 + (-4*p + 4*p - 2*p)*(9875*p - 9875*p - 793*p**2) + (3 + 2 - 2*p**2 - 4)*(1 - p - 1).\nAnswer: 1587*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (12\/10*(-9)\/(-18))\/((-30)\/(-100))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 3*p. Let s(z) = -z**3 + 13*z**2 - z + 21. Let r be s(13). Let l(o) = o - 11*o + r*o - o. What is u(l(g))?\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(-191*q**3 - 409*q**3 + 101*q**3 - 109*q**3).\nAnswer: 608*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g. Let u(x) = 260*x**2. What is p(u(l))?\nAnswer: -520*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 28505.8 centuries in months?\nAnswer: 34206960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 - -18. Let i(o) = 2*o + 1. Let y be i(-2). What is the smallest common multiple of -1*1\/(y\/3) and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 3. Suppose 0 = p*k + g + 37, k + 15 = -5*g + 2*g. Let s = k + 22. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 151\/5 + 4\/(-20). Let y be ((-65)\/d)\/(2\/(-12)). Suppose -10*h + y*h = 255. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.828 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2691 + 2742. Calculate the highest common divisor of 21 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 98 = 5*j, -5*y + 50 = -2*j - y. Let s = j + 60. Calculate the common denominator of s and 107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 20212120122?\nAnswer: -20212120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 45000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 2:17 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svsjvshssl. What is prob of sequence ls?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 4*q - 33. Let h(c) = -c**3 + 4*c**2 + 4*c + 7. Determine h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -645 - -674. Calculate the remainder when 288 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2875155.2987 - 0?\nAnswer: -2875155.2987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {z: 2, q: 11, x: 2}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from evmahevhvhavee.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2120110000 (base 3) to base 8\nAnswer: -142701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.4 - 28.4. Let h = 22.8 + i. What is the biggest value in -7\/3, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -5*t**2 - 102670*t - 30351000 = 0?\nAnswer: -20234, -300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 11*b**4 + 4*b**2 + 3. Let l = 14 + -21. Let s(j) = -23*j**4 - 7*j**2 - 5. Let f(p) = l*h(p) - 4*s(p). What is the derivative of f(d) wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrww when four letters picked without replacement from {w: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of 13*f**5\/60 + f**4\/6 - 5*f**3\/3 + 4*f**2. Is g(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 735 = 59*a - 25 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qcbbb. Give prob of sequence bc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 15*a**2 - 9. Let p(z) = -3*z**2 + 1. Let g(h) = -3*p(h) - q(h). Let b(l) = -1. Determine -6*b(c) - g(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155681?\nAnswer: 151, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 10:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -13. What is the closest to h in 0, -7, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*y - 1581 + 1593 = b, 3*b = 5*y + 36 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2172, -2121, -2070?\n\"Answer: 51*i - 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -512*g**2*o + 2*g**2 + 2*g*o - 3*o + 874 with respect to o.\nAnswer: -512*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 - 22*x + 22. Let f be t(10). Suppose f*r + 5*c - 7 = 0, 3*c = -5*r + 8*c. Which is greater: 6\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, g: 7, n: 7, z: 1}. Give prob of picking 1 n and 3 g.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (464\/56 - 8)\/2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15.162 and -0.16?\nAnswer: 2.42592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r*r**(2\/15))*r*r**(-1\/10) assuming r is positive.\nAnswer: r**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 12*m - 2. Solve 0*o + 3*o + 20 = u, 20 = -m*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -6 + 2*i**2 - 2*i + i + i**3 + 6*i**2. What is the lowest common multiple of 22 and p(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -6*a**2. Suppose -12 = 2*d - 2, 4*t - 3 = -d. Let c(h) = -h**2 + h. Determine t*c(j) + f(j).\nAnswer: -8*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(60)\/sqrt(4)*-4 + -3*sqrt(15)*5)\/(sqrt(10)\/sqrt(32) - (sqrt(5) + sqrt(80)*1)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1592553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y - y**4 - 3*y + (-5*y**2 + y**2 + 3*y**2)*(-3*y**2 + y**2 + 3*y**2) + 9703*y - 6*y**2 - 9703*y + 3*y**4.\nAnswer: y**4 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 2643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 + 6)*(-5 + 1 + 1)*(0*h + 4*h - 2*h)*(-1 - 2*h + 1).\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 348786269 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3*z = -14, -n + 2*z + 8 = -0*z. Suppose 5*p - 3434 = -2*x, 2*p - n*p = 3*x - 1378. Suppose -5*j + 181 = g - j, -3*j - p = -4*g. Does 41 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-22)*(104544\/81)\/(-44).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -4400522?\nAnswer: 4400515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 11. Calculate the least common multiple of z and (-2 + 11)\/(3 + (-15)\/10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from {n: 16, s: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/1)\/((-10904)\/77691)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 163\/77 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0175523*943\nAnswer: 16.5518189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2921c + 3?\nAnswer: -29219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12204235 + 5?\nAnswer: -12204230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of 0*z**2 + 0*z - 1\/5*z**5 + 1 + 0*z**4 + 0*z**3. Factor a(b).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1*(sqrt(2) - (4 + sqrt(2) + 1)**2) - (-1*sqrt(216))\/(6*sqrt(108)).\nAnswer: -27 - 53*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000041 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2962 + 3109. Calculate the greatest common divisor of 392 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 242?  (a) 0  (b) -6\/1007  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -27bb79?\nAnswer: 27bb7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 1672*p + 8.\nAnswer: 1672*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*c = -113*c - 3*p - 54019, 5*c - 2*p - 67529 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (3 - 3) + (5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 14*i + 28. Let o be d(-2). Suppose 15*y - 209 - 31 = o. Solve 5*w + y = 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 + j + 9. Let w be a(-2). Suppose -5*v + 5 = -0*v, -5*v + 89 = -w*y. Let g = 60 + y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11\/(-2) + 3\/(-6). Which is smaller: y or 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44.9 - 44.3594. Let h = -0.28 - -0.83. Let w = u - h. What is w rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(21)\/(sqrt(3) - sqrt(27)) + sqrt(7) + -6*sqrt(7)*-1*3)**2.\nAnswer: 185*sqrt(7) + 9683\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b**2 - 19*b - 3. Let v(q) = -3*q**2 + 102*q - 677. Let f be v(9). Let d(g) = g**2 + 1. What is f*d(y) - z(y)?\nAnswer: 2*y**2 + 19*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*j + 4. Let y be (4 - -2) + j - 2. Solve 2*h = -y*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 3:08 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/12 and 2366\/(-5760) + (-98)\/(-441).\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18802, 4, -2, 19, -14 in ascending order.\nAnswer: -18802, -14, -2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 10*o**2 - 9*o + 3. Let f be w(-9). Suppose 2*l - 3 = -f*h, 10 = -5*h + 5*l - 10. What is the tens digit of 135\/(-9)*1*h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(2*z**2 + 0*z**2 - 3*z**2) + (2 - 2 - 3)*(-8*z**2 - 9*z**2 + 9*z**2) + 3*z**2 + 0*z + 0*z.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1753*y - 10700. Determine l(6).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 3*g - 1. Let h be (21\/(-9))\/((-1)\/3). Let k = h - 11. Determine a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 9386813.682 and 20.\nAnswer: 9386833.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 1\/6, 0.24, -3\/100, 0?\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1587201 is divided by 1587170?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 10  (b) -5  (c) -0.2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 38. Suppose 0*l - 5*l = 10. What is the tens digit of (4 - 6 - l) + p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0689 and -2080.\nAnswer: -2079.9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = -6. Let m(u) = u**3 - 7*u**2 - 3*u + 25. Let j be m(g). Solve -w = -5*w - j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssoovvsvv. What is prob of sequence voo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2222, 3172, 4754, 6968, 9814, 13292, 17402?\nAnswer: 22144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 + 0.2. Let f(v) = -v**3 - 22*v**2 - 65*v + 121. Let i be f(-18). Which is the second smallest value?  (a) k  (b) -3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 7 - 12 - 9 - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkyyykk. What is prob of picking 1 k and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -14  (b) -5\/4  (c) 1  (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/((6\/(-4))\/(-1)). Let p be 56 - (-71)\/(1562\/(-1232)). Sort p, q, -10.\nAnswer: -10, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (254\/(-889))\/(1\/(-14)). Solve t = 38*g - 42*g - 8, -v*t - 21 = 5*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573)*-1*2 + -5)**2.\nAnswer: 220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 282*s**2 - 490. Let b(h) = -2*h**2. Determine t(b(p)).\nAnswer: 1128*p**4 - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -10*s. Suppose -5*j = -0*j - 225. Let f = 48 - j. Let x(v) = 5*v**2 - 11*v**2 + f*v**2. Calculate m(x(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.39 + -2.69. Let w = m + 2. Let f = 6 - 6.2. What is the nearest to 2\/7 in w, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 142205 and 285?\nAnswer: 8105685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -8524187 and -8524189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 65980, 131834, 197694, 263554, 329408, 395250?\n\"Answer: -c**3 + 9*c**2 + 65834*c + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/8 and -23\/2168?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 18.5*-0.2\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -407 - 8 = -5*n. Let v be 2\/(-4)*(-1 - -1). Suppose -2*f = 5*z - 79, -5*f = -v*z - 4*z + n. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 11:41 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134565227, 134565229, 134565231, 134565233?\nAnswer: 134565235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 207, 270, 443, 780, 1335?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 789 + -786. Differentiate -11 - 20 - 164*r**3 - 68*r**a - 35 with respect to r.\nAnswer: -696*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1123802 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: Simplify (-5*(sqrt(68)*1 + -2) + 4 - (5 + (sqrt(68) - (-2*sqrt(68) + 0)) + (sqrt(68) - (sqrt(68) + sqrt(68)*-1 + 4))))**2*3.\nAnswer: -1404*sqrt(17) + 17031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -18. Let p(w) = -14*w - 30. Let c be p(-2). Let f = b - c. Calculate the remainder when 16 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 1557\/81 - (6\/27 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -274454.00129629 - -274454. Round w to 5 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 10*w + 185. Calculate z(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1241819ug in kilograms?\nAnswer: 0.0000000001241819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*h**2 - 140 - h - 3*h + 141 + 4*h as x + m*h + f*h**2 and give f.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 2*c - 3. Does 8 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x. Let f(w) be the second derivative of w**4\/12 + 115*w**3\/3 + 71*w. Give f(o(r)).\nAnswer: r**2 - 230*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 106*r - 6. Let d(q) = -50*q + 3. Let w(f) = 13*d(f) + 6*n(f). Let v(t) = 14*t - 4. Determine 5*v(z) + 6*w(z).\nAnswer: -14*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d + 16. Let h be j(-7). Let t = 61 + -243\/4. Which is the closest to h?  (a) 0.1  (b) t  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-92)\/(-12) + (-2)\/3. Suppose y = 2*f + a, -5*a - 4 = 4*f - 27. Solve 4*w**f + 2*w + 3*w**2 - 6*w**2 = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-170))\/((-1173)\/867).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(12987\/(-1053) + (2 - (-13 + 2)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, e: 3, i: 1, w: 5, j: 3}. What is prob of picking 1 f, 1 w, and 1 e?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -2, -52\/5, 3, -0.2?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7760 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1988725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 215*r - 17404. Give w(81).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -11 - (1477231\/(-120645) + 2 + 12\/(-10)). Let r = -8 - -11. Suppose c + 4\/9*b**r + 4\/3*b + 4\/3*b**2 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-6)*(-4 - (-8)\/2). Let s = y + -9. Let h(u) = -5*u + 28. What is the remainder when h(s) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j\/((j*j\/(j**39*j))\/j*j))\/j)\/(j**(1\/11)\/j)*(j**(1\/5)\/j*j*j*j)\/j*j*(j\/j**(-24)*j)\/j*j assuming j is positive.\nAnswer: j**(3746\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 523 is divided by 154?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 2, c: 5, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 6*a - 16 + 5*a - a - 3*a + 92. What is the lowest common multiple of 1 and k(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 4*c + 118. Let g be s(-10). Suppose 19 = -r + 88. Let h = r - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 10:20 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 - 4*a - 4. Suppose -t - v = 15, -3*v + 23 = -2*t - 17. Let o = -22 - t. Let d(l) = -l**2 - 2*l - 2. Calculate o*d(b) + 3*s(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 3*x - 4. Let b(w) = -10*w + 14. Let q(n) = -2*b(n) - 7*m(n). Let d(a) = 6*a - 3. What is 2*d(t) + 10*q(t)?\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + x + 8 - 1 = 0, -5*x = -2*l + 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.977 and -0.4.\nAnswer: -2.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 818368227 + 3.\nAnswer: 818368230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/(-33) + (-1)\/(-3). Let l = 0.8 - 3.8. Let q = -16 + 79\/5. Which is the closest to q?  (a) l  (b) 0.5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 4\/7  (c) 0.4  (d) -1259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.65388 kilometers in centimeters?\nAnswer: 7765388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71*v - 9*v + v + (3*v - 3*v + 2*v)*(-2 + 3 + 1))*(-5 + 6 + 2)*(0 + 1 - 2).\nAnswer: -201*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-25))**(-5)*(a\/a**(-7\/8)*a)\/a**(-18\/5))**(2\/9) assuming a is positive.\nAnswer: a**(1753\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010001010010010 - -11?\nAnswer: 10010001010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 2:24 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s = -18*s - 10. Let o(w) = w**2 + w - 2. Let y(u) = -u**2. Let h(p) = -o(p) + 4*y(p). Calculate h(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {m: 5, u: 3, f: 1, k: 7, j: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17744 or -15005?\nAnswer: -15005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 1 - 3*z + 10*z - 6*z. Let g = 15 + -9. Let c(j) = -j**3 + 7*j**2 - 8*j + 8. Let w be c(g). Give l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 45*o = -8*o. Solve 7*z + 3 - 10 = o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 32. Let d = -9.1 + s. Which is the second smallest value?  (a) 1\/12  (b) 4\/7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2108.3 - -2110.3. What is the closest to -31 in -2, 1\/16, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/12 - (0 + (-1)\/3). Is -0.2 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2904)*-2)\/(sqrt(4)*2*5))\/(-4*(sqrt(2) - (sqrt(2) - (sqrt(32) + sqrt(2))))*3*6))**2.\nAnswer: 121\/1080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 579364 divided by -1202\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 1518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -28*x**3 - 7*x**2 - 13*x - 15. Let z(g) = 15*g**3 + 4*g**2 + 7*g + 8. Determine 6*v(m) + 11*z(m).\nAnswer: -3*m**3 + 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 172.2958ml to litres.\nAnswer: 0.1722958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269317865?\nAnswer: 5, 4259, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/7 + 19869*p\/7 + 39734\/7.\nAnswer: (p + 2)*(p + 19867)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*2\/8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*(sqrt(1100) + sqrt(1100)*2) - sqrt(1100)) + 5 + 4)*-4)**2.\nAnswer: 23040*sqrt(11) + 1127696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 5*p**3 + 2*p**2 - 2*p + 8. Let c(f) = 11*f**3 + 5*f**2 - 4*f + 17. Let l(b) = 6*c(b) - 13*y(b). Determine l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-6) - (-176)\/33. Suppose b = q*x - 102, -x - 72 = -5*x - 4*b. Solve 2*p - 2*h = -0*h + 4, 5*p + x = -h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10467388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*s - 1. Let q be -1*44 - -2*s\/(-4). Let x = q + 81. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2678406992 to the nearest integer?\nAnswer: 51753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 561123390 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203 - 42 = 23*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - u - 287, 9*z - 6*z - u = 430. Suppose 3*w - 449 + z = 0. Calculate the highest common factor of w and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -424*h + 16. What are the prime factors of z(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3708797947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of -5*v**4\/24 + v**3 - 24*v**2. List the prime factors of h(-26).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - o - 2)*(4 - 2 - 1)*(-26*o + 73*o + 2*o) + (1 - 2 - 1)*(-1 - 2*o**2 + 1) - o + o - 2*o**2.\nAnswer: -47*o**2 - 49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4374255221?\nAnswer: 7, 19, 59, 557443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2501 (base 9) to base 12\nAnswer: 10b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3011461113 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351624 = -35*i + 351239 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of b**6\/180 + 53*b**3\/3 + 33. Let d(a) be the third derivative of r(a). Let x(p) = 18*p. Determine x(d(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 7*y - 1. What is the units digit of v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a + -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2600 and 16?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2100 + 2100.5. Which is the nearest to 0.1?  (a) u  (b) -2\/5  (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-165)\/(-968) - 24\/44\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = n + 5*l, 5*n + 104*l + 24 = 106*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27646 and 1679?\nAnswer: 2018158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/(x**(-3\/4)\/x*x)*x*x*(x**(-6)*x*x)\/x)\/(x**0\/(x\/x**(-5))))\/(x\/(x*(x*x\/(x\/(x\/(x\/(x\/x**(-1\/3))))))\/x)*x*x**(-1\/2)*x)**21 assuming x is positive.\nAnswer: x**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -15*s - 251. Let c be d(-17). Solve -2 = 3*w + 4, -c*w + 4 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104484?\nAnswer: 2, 3, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2913*13.\nAnswer: -37869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x + 2*x**3 - 3*x)*((x - 2*x - x)*(-41 + 35 + 25) + 0*x + 2*x - x + x - 2*x + 3*x).\nAnswer: -70*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91925?\nAnswer: 5, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123957080.\nAnswer: 2, 5, 13, 127, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 - 2*i - 34. What is h(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 11:58 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 44\/7, 10, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3773 and 210945?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**5 - 121562*c**4 - 3*c**3 + 1035*c**2 + 7*c + 23?\nAnswer: 60*c**2 - 2917488*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 5*l + 33. Let t = 1 - l. Calculate the least common multiple of 8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-15) - (-24)\/10. Let g(x) = 4*x**2 + x**y + 1 + 0*x**2. Let l be 2\/6*(-2 + -1). Give g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zpdyzyzypdvzzz. What is prob of picking 1 p, 1 y, and 2 d?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -133601303*v**2. Let d(q) = 2*q. Give d(w(i)).\nAnswer: -267202606*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(25) + sqrt(75)\/sqrt(3))*6)\/(sqrt(5) - sqrt(55)\/(sqrt(11)*1) - sqrt(5)) + 4).\nAnswer: -24*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**11*m\/(m*m**(-5\/4)))\/((m**(-2)\/m*m)\/(m*m**7\/m)))**(2\/7))**(2\/53) assuming m is positive.\nAnswer: m**(85\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 41 - -2 - (-5 + 2). Suppose 0 = -5*s + u + 14. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 5*v = 8, 2*z - 403 + 407 = 3*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(6\/(-38)) - 1. Is 7 a factor of 8\/z + (-164)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, a: 2, g: 2, y: 1, x: 2}. Give prob of sequence xt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -511, -497, -417, -223, 133?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.8 + 3.884. Let a = o + -7.284. Let y = 7 + a. What is the nearest to y in -4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -177*b - 381. Does 7 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 242115*h**3 + 787*h**2 + 0*h**4 + h**4 - 242611*h**3 wrt h.\nAnswer: 24*h - 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 10:45 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1050)\/(-84)*(6\/57)\/(2\/((-64)\/80))?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1276, -5003, -11216, -19915, -31100?\n\"Answer: -1243*q**2 + 2*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5 + (sqrt(162)*1 + 0 + -4)**2.\nAnswer: -72*sqrt(2) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o + 2*t = -8, 2*t + 8 = 0. Suppose d - 7 = -o*d. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4*p. Let g(b) = 7*b**2. Determine i(g(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -283502?\nAnswer: -283507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**3 - 6*i**2 + 5*i - 17. Let r(p) = 2*p - 4 - p**3 - 5*p**2 + 3*p**2 - 2. Let h(w) = 4*j(w) - 11*r(w). What is h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**4 + 2*f**4 - 5*f**4)*(-41 + 41 - 15*f)*(-2 + 2 + 1).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -14*d. Let w(o) = -1723*o. Give l(w(x)).\nAnswer: 24122*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 141211440 (base 5) in base 9?\nAnswer: 1325632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 447734339769 plus -0.03?\nAnswer: 447734339768.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1672 + 1748. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 30d + 22406?\nAnswer: 22714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/11 or -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06 - 0.2911.\nAnswer: -0.2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-6)*(1 - 2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-150)\/(-125))\/((-32)\/(-10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 4*f**2 - 3*f. Let z = 7 + -4. Let u be c(z). Suppose 2*y - 28 = -2*m, u = -3*m - y - 29 + 81. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 PM and 2:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2974\/9 + 331. What is the common denominator of -46\/15 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -385*x + 66*x - 10*x to y*x + f and give y.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 69189, 138252, 207185, 275988, 344661, 413204?\n\"Answer: -65*f**2 + 69258*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kddvkvjpvkpv. What is prob of picking 1 d and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, -5, -2, 128, 170, 11 in descending order.\nAnswer: 170, 128, 107, 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*k**3 - 796*k**2 + 8696*k - 2124.\nAnswer: -4*(k - 9)*(k + 59)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 2:06 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 4*v + 62, -2*v + 67 = -2*n + v. Let a be (-4*(-3)\/18)\/(1\/(-3)). Let c = a - n. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 297145*d - 297148*d - 111 = 0, -7*d = -4*w + 292 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671156 is divided by 478.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/13079 and -37\/12969.\nAnswer: 15420141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - d - 12. Let u be k(0). Let l be (9\/1)\/(u\/80). What are the prime factors of (2\/6)\/((-4)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((6*sqrt(176) + sqrt(176) + (sqrt(176) + sqrt(176) + 0 + sqrt(176) - sqrt(176)) + 2)**2 + 2).\nAnswer: -71310 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 + 39. Let x be (2 + 6\/(-8))\/((-3)\/h). Let k(v) be the first derivative of v**4\/4 + 5*v**3\/3 - v**2\/2 - 7*v - 1. Calculate k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/51*1)\/((-840)\/9520)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z = 26*z + 4*a + 100, a - 3*a = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -213686817*t**4 + 2*t**2 + 11074*t - 31024?\nAnswer: -2564241804*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 8*t**2 + 8*t - 9. Let i be (10 - 1) + -3 + 1. Give r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 0 + w - 1)*(-8*w**2 - 622*w - 608*w + 1205*w) to the form j*w**2 + p*w + g*w**3 + h and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254 (base 12) to base 5.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 146513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20418569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -20. Let z be ((-48)\/d - 3)*-5. Suppose z*f + 254 = 5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 23322?\nAnswer: -23313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -7) + 3*-1 + 18. Let t be (364\/112)\/((1\/n)\/1). Let g = t + -63. Solve -g - 6 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 552 and 506.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 264792, 264859, 264926, 264993, 265060?\nAnswer: 265127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 230 and 7.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -0*k - 2*k - 5, 3*a - 5 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 9:29 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - 65*k - 998. What is r(-22)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*y = 4 - 0, y + 2 = 3*j. Is 421 - j - (-2 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 99. Let h be (-45)\/(-2)*(-10)\/b. Factor -7\/4*w**2 - 1\/2 + h*w.\nAnswer: -(w - 1)*(7*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 78 = 5*b, -5*q - 102 + 7 = -6*b. Solve -3*u = b, 2*h - u + 2 - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*l - 55936 + 60160 = 0 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*d - d + 2*d**3 - 2 + 0*d to w*d**3 + x*d**2 + s*d + a and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 2*w - 1180, 2*p + 3*p - 2962 = 2*w. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22314.27 weeks in hours?\nAnswer: 3748797.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -57.4258 - -1156689.4258. Let d = 1156632.0529921 - w. Let n = 0.053 - d. What is n rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 12:01 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 136, -3, -5, 68.\nAnswer: -5, -3, 3, 68, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**4 - 29*j**3 + 6*j**2 - 4. Let c(p) = -30*p**3 + 5*p**2 - 5. Let o(x) = 4*c(x) - 5*q(x). Suppose o(k) = 0. What is k?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 928 and 1632.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-348)\/(-60) - 2\/10*-1. Let y be -4*2\/(v\/(-3))*1. Suppose -y*g - 4 = -3*g. Is -3 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x**4 - 150*x**3 - 773*x**2 - 318*x + 1240 = 0. What is x?\nAnswer: -4, -2, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4*y + 6*y = 4, 0 = -4*v + 3*y + 14. Let j(d) = -d - 1. Let i be j(-7). Suppose i*t = v*t + 1588. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 4*s**2 - 2*s. Let y(z) = -z**3 + 9*z**2 - 4*z. Let d(t) = t**2 + 3*t + 1. Let m be d(-3). Let v be (4 - (-4 + 3))*m. What is v*l(a) - 2*y(a)?\nAnswer: 2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70045520.\nAnswer: 2, 5, 101, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -3. Let k be (-63)\/(-156) + (-14)\/91. What is the fourth biggest value in -1\/3, -0.1, f, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 1.15  (c) -0.3  (d) -38.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3*(2*sqrt(102) + sqrt(102))*1)\/(sqrt(48)\/(sqrt(32) + sqrt(32)*3 + sqrt(32))).\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 367157 or 367146?\nAnswer: 367146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 80249269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -17\/95 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 585401045, 1170802087, 1756203127, 2341604165, 2927005201, 3512406235?\n\"Answer: -l**2 + 585401045*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1009 divided by 6395?\nAnswer: -1009\/6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -7490288 divided by -24?\nAnswer: 936286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 9:18 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -869 less than or equal to -40871\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -150.85 + 2.85. Let b = v + 86. Let q = b + 62.00027. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92 = -18*j + 28 - 98 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 9 + 3 = 0. Let g be 1\/(((-49)\/(-2))\/7*k). Let o = -0.5 + 0.3. Which is the smallest value?  (a) g  (b) 4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -1287, 5, 159, -3.\nAnswer: -1287, -3, -1, 3, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*1*42\/24. Suppose -t = -h*t + 2346. Suppose -3*a - t = -2*c, 0*a = -3*c - 5*a + 558. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 39*f**3 - 114*f**2 + 75*f - 9. Let l(t) = -20*t**3 + 57*t**2 - 38*t + 5. Let k(d) = 4*b(d) + 9*l(d). Determine j, given that k(j) = 0.\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83825177?\nAnswer: 83825177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -578.9, -13, -5?\nAnswer: -578.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*g + 645 = -811. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 137*p + 2. Let f(q) = -15*q + 29. Let g(s) = 20*s - 34. Let c(z) = 7*f(z) + 6*g(z). What is u(c(j))?\nAnswer: 2055*j - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/265 and -101\/149990.\nAnswer: 149990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -7*o - 7. Let k be m(-11). Let g be (6\/(-14))\/((-10)\/k). Let h be 6\/(-2)*(-5)\/g. Calculate the highest common divisor of h and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*((sqrt(114) - 1*3*sqrt(114)) + sqrt(114) + sqrt(114))*3)\/((sqrt(864) - sqrt(864)*-2) + (1*sqrt(6) + sqrt(6))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-59)\/10 + 5 - -1)*-2. Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -k**8\/84 + k**4\/24 - 3*k**2\/2 + 4. Let j(a) be the second derivative of t(a). What is the second derivative of j(b) wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 4)*(104 - 200 + 160*l**2 + 113).\nAnswer: -320*l**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*j + 5*a, -2*j = -a + 5*a - 14. Suppose j*f - 48 = -9. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11110000001010001100011 (base 2) to base 14\nAnswer: -108bc9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -1. Suppose -4*u + 8 = -0. Let d(l) = -3*l**u - j*l**3 + 2*l**3 + 0*l**3 + l. Give d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -10*j - 179. Let g be y(-31). Suppose 2*c + g = 133. Solve -q - 2 = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -8002 + 28177. Suppose -2477 = 4*n - u. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 89*m**2 + m + 2. Let r be x(2). Suppose 2*z - r = -3*z. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -167 + 167. Let g(m) = m**2 + m + 9. Determine g(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 70*f**3 - f**2 - 4 + 3 + 0*f**2 - 2*f. Let g be q(-1). Let m = g - -101. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130961 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 77 and 59045?\nAnswer: 649495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 0*s**4 + 0 + 0*s**3 + 7*s**2 + 0*s + 1\/40*s**6 + 1\/30*s**5. What is the third derivative of c(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**2 - 12*l + 7. Let w be p(5). Let i = w + 8. What is the third derivative of -3370*t**4 + 3370*t**4 - 22*t**2 - 33*t**i wrt t?\nAnswer: -1980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, b: 3, h: 4, u: 2}. Give prob of sequence fbf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 - 24*i + 24. Let w be x(-13). Let m be 2\/(w - (-12)\/8). Let s be (-20)\/16*2*m. What is the highest common factor of 90 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8, 218, 32, -2 in decreasing order.\nAnswer: 218, 32, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 8*p + 9. Let a be 38\/(-1) - (2 + 0). Let n(r) = r + 1. Let k(f) = a*n(f) + 5*i(f). Differentiate k(g) with respect to g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116756 and 1237498?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -678*q - 8122. Calculate a(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13)\/(39\/10) + (-3)\/(-9). Suppose -5*q + 3485 = y - 12206, -4*q + 12549 = -3*y. Is (4\/(-8))\/(g\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19163\/30 + 3214\/5. Let o = -177647\/570 - -5926\/19. What is the common denominator of o and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-1)\/(1\/1). Let k = 48987 - 48982. Which is the closest to i?  (a) -0.03  (b) 4  (c) 0.06  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 770 + 6*b - 462 + 499.\nAnswer: 6*b + 807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 + -1564?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23895023.\nAnswer: 23895023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*f**2 + 15*f**2 - 69*f**2.\nAnswer: -129*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from ksnkbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-644)\/264 - (-8 - 2660\/(-330)). Sort -0.3, g, 1\/3, 175 in increasing order.\nAnswer: g, -0.3, 1\/3, 175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198562 + -139043420?\nAnswer: -138844858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z + z = -15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(171) + -4*sqrt(171) + sqrt(171) + sqrt(171))*6)\/sqrt(9).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1636642975 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-8)*-10 - 9\/(-6). Is -4 + 5 + r - -2780 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from myyamymmaeem. Give prob of picking 1 e and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + k - 37 + k**3 + 35 - 6*k. Let g be f(-3). Let s = -47.1 - -47. What is the nearest to s in 0, 1, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x = 18*x - 26250. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 227520 = -4*t + 227464, -3*j - 20 = 2*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11\/2293 + -24239\/272867. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 399694545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 18*o - 17. Determine y(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -240614\/3 or -80204?\nAnswer: -80204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45959561 is divided by 1964?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10518*p**3 - 7412*p**2 wrt p.\nAnswer: 63108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 - -68. Suppose -2*b + 15 - 1 = s*v, -3*b + 3 = -3*v. Solve 3*w = w + v*r, -3*r = -w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jyssjma. Give prob of picking 1 y, 1 a, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 - 6126*x + 0*x**2 + 5 + 2*x**2.\nAnswer: 2*x**2 - 6126*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14)\/(-12) - 342140\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r - 8. Let s(g) = -2*g + 8. Let z(o) = 3*o - 13. Let i(p) = 8*s(p) + 5*z(p). What is 5*i(b) - j(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47176\/11 + 4284. What is the common denominator of -2\/9 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1552506 or -1552891?\nAnswer: -1552506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/90*4\/(-64)*-44 and 83\/5536.\nAnswer: 49824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (1 - 9)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20 or -4009978?\nAnswer: -4009978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.973184 tonnes to grams.\nAnswer: 973184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p - 1. Let v(f) = f**2 + 1. Suppose 0 = -6*t + t. Let z be v(t). Let c be y(z). Is c at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*d - 194*d + 3705*d - 9152 = 5733 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -2 + -5 - 10 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.6 times -2?\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**3)\/a)\/a**22 assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/18911079 and -19\/405?\nAnswer: 850998555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 + 15*r + 10.\nAnswer: 5*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 214 - 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 270309*b**4 - 6*b**3 - 35225*b - 4 wrt b.\nAnswer: 3243708*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 + 14 + -43 + -72 + 20?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7053, -7013, -7013, -7053?\nAnswer: -7133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 402079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**4 + 7*j - 210*j**2 + 72*j**2 - j**3 + 75*j**2 + 67*j**2 - j**3 + 29 in the form n*j**3 + s*j**4 + m*j + w + v*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 159*z + 5883. What is g(-59)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 4:38 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46632381?\nAnswer: 3, 149, 104323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(2\/2)\/((-6)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 20254600 to the nearest one hundred thousand.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 159.5014 litres in millilitres?\nAnswer: 159501.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -10832.31 to the nearest 10.\nAnswer: -10830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -6 + 18 - 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7*s - 6*s + 7*s - 8*s. Let o(y) = 3*y**2. What is d(o(m))?\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v - 2. Let n be p(-3). Let x(f) = 6*f**3. Let q(r) = -5*r**3 - 15*r**3 + 28*r**3 - 4*r**3 + 8*r**3. What is n*x(g) + 3*q(g)?\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 - 6*f + 5. Let i be r(-6). Solve 5*h = -g - 8, -i*h - 3 + 4 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 25 - (-29 - (-242)\/110)?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mk when two letters picked without replacement from qqnqmkmqt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2312800 and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5684229893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4199 and 1703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*q - q + u, 4*q + 5*u = 11. What is the greatest common factor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**5*x**(2\/15))**(-2\/101))**(-39) assuming x is positive.\nAnswer: x**(2002\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*q**3 + 1951 - 1951.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r - 8 = -11*r. Solve 5*n + y = 10, n + n + r*y = 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(19 - 22 + 7*x + 11).\nAnswer: -7*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 5*t + 10, -8 = 4*d - 4*t - 0. Let i(a) = -7*a - 46. Let x be i(d). Let f = 344 + x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 13, 5, -5, 2\/1959?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 398 * 0.1251636\nAnswer: 49.8151128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y + 3*y - y + (0 + 5 - 2 + (1 - 4 + 1)*(3 - 3 - 2))*(753*y + 128478092 - 161*y - 128478097) as v + z*y and give z.\nAnswer: 4146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, r: 3}. What is prob of picking 3 n?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1003 divided by 433.\nAnswer: -1003\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x + 1. Let t(d) = d. Suppose -2*s + 2 = -2. Suppose -5*a + 14 = -u - u, -u = s. Give a*v(h) + 4*t(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 2:46 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -396041991*f. Let a(j) = -j. Determine y(a(v)).\nAnswer: 396041991*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 5*m. Let i(o) = -4*o. Let x(j) = -6*h(j) - 7*i(j). Let k(f) = -13*f + 12 + 11 - 2 - 21. Determine x(k(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 168, 180, 190, 198, 204?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 110811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(684) + -1)*3 - sqrt(684) - sqrt(684) - (2 + sqrt(684))*-1)**2.\nAnswer: -24*sqrt(19) + 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, t: 7, z: 9, o: 1}. Give prob of sequence tt.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g**3 + g**3 - 2*g**3)*(-g + 0*g + 2*g) - 14*g**3 + 2*g**4 + 15*g**3 - 5*g**4 to p*g**4 + y*g + c + u*g**3 + r*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, 736, 1\/2, 198.\nAnswer: -6, 1\/2, 3, 198, 736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 9798 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/160*(-5)\/(-3))\/((-245)\/(-210))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8610 - 189363\/22. What is the common denominator of m and 17\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2874718\/6655 + 2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 6*n + 3. Let j = 25 + -19. What is g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 2*m**2 - 2*m. Let s be p(3). Let w be 4 + -6 - (1 - s). Find x, given that 1\/3*x**2 + 0 + w*x + 1\/3*x**4 + 2\/3*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 5:14 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/(-35) + 12\/5. Let t(x) = 4*x**2 - v*x**2 - 3*x**2 - 8*x - 8. Let r(d) = -d**3 - 3*d**2 + 43*d + 123. Let l be r(-3). Give t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oohehhhohhhhhhoeohh. What is prob of sequence oho?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.324 + -0.324. Let i = -2 + -1. Let s = 3.1 + i. What is the second biggest value in j, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 + 3*x**2 + 4*x + 2. What is the units digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 8*o**2 + 89\/60*o**5 - 5 + 0*o**4 + 0*o - 56\/3*o**3. Differentiate d(l) wrt l.\nAnswer: 178*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 5 - (10 + -2)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-1\/3)\/y)**(-34))**(-2\/169))**4 assuming y is positive.\nAnswer: y**(-1088\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-20)\/16)\/(6\/(-24)) - -165. Suppose -79*y + 89*y - m = 0. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -1 - 1 + 0 - 4*z. Let b be p(-3). Is 4 a factor of 58\/b + 5\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.7668636 rounded to 3 dps?\nAnswer: -58.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25.54 + -26. Let a = y + 0.460168. What is a rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -42*f**2 + 2487*f - 533. Calculate k(59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - -3) + -51 + 55?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -937, -7696, -26083, -61924, -121045, -209272, -332431?\n\"Answer: -971*t**3 + 12*t**2 + 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69194 is divided by 6283?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 13 + 14*q**3 + 2 + 9.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5 = -j + y, -43 = 3*j - 4*y. Put 1, 4, j in ascending order.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 113000 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 68, 251, 552, 971, 1508?\n\"Answer: 59*c**2 + 6*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 25 + 209 = 0. What is the highest common divisor of 368 and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -291, 1, 5, -5.\nAnswer: -291, -5, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 357 - 345. Suppose -k + 30 = m. Calculate the remainder when m is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2305\/6 - 397. Let c = -8143\/3123 + -1190551\/281070. Let n = c + 4\/405. Calculate the common denominator of n and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 783307 (base 15) to base 7.\nAnswer: 66500500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1219\/1833 + -1\/611. Which is the nearest to -2?  (a) 0  (b) 2\/161  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 5*x + 3. Let t(r) = r + 1. Suppose 0 = -4*d + 15 - 43. Let z = 8 + d. Give z*h(w) - 3*t(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence titt when four letters picked without replacement from {i: 2, t: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -318*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 38609087*c**3 + 7047623 wrt c?\nAnswer: 115827261*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -170094.74 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1380 or -1527?\nAnswer: -1380","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1686770 is divided by 1187.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14801, -15224, -15649, -16076, -16505?\nAnswer: -16936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 1. Let c(g) = -2*g**3 + 5*g + 4. What is c(l) + 5*n(l)?\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 375383595 to the nearest integer?\nAnswer: 19375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290699 - 290699 + 467*c.\nAnswer: 467*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 175474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fcfctttcct. What is prob of picking 2 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 0*u + 15. Find the third derivative of 3*a**5 - 4*a**u + 4*a**2 - 5*a**2 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19431 + 3*v + 48255 + 3847.\nAnswer: 3*v + 71533","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 201*z**4 + 2*z**2 + 2*z**3 - 200*z**4 - 4*z**3 in the form f*z**4 + g*z**3 + i*z**2 + b*z + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*z = 3*l + 10*z - 34, -4*l - 4*z - 28 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1253 - -4?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/4)\/(2\/8). Suppose 287*l = -209 + 4801. Let y be ((-952)\/l)\/(g\/(-2)). Is y > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-2) - ((-15510)\/20 - -9). Let g = h + -428. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3.9, 2, 90?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/40 and -25\/6776.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*l + 12*l + 17*l)*(5 - 4 - 3) to the form n*l + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -2*k, 18 = 35*k - 31*k + 2*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8470786 (base 10) to base 8\nAnswer: -40240402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + -16 + -12 + 40 + (-16 - -7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 12*d**2 - 2*d + 41. Let r be b(6). Suppose -n = 3*f - 0*n - r, -5*f - 5*n = -775. What is the highest common factor of f and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(6\/5)\/q*q)\/q)\/q)\/q*q**12*(q**(-3\/2))**(-2\/25) assuming q is positive.\nAnswer: q**(258\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 4*h**2 + 613016*h - 39249408 = 0?\nAnswer: -153318, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.02  (b) -0.034  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 8:01 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 443519621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*n + j + 4*j, n = 3*j + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1402938 is divided by 6911.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.196101214 to 4 decimal places.\nAnswer: -0.1961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 78 + -73. Suppose 0 = -c*j - 21 + 56. Solve -4*b + 11 = 5*u, -3*b + j + 5 = 5*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-3)\/(-12)*38 + 4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002264807 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 93 - 51. Suppose 0 = 2*d + 2*d - x. Suppose -5*m + 26 = 3*v, 2*m + 2*m = 2*v + d. Solve m*l + q = 15, 2*l - 6 = -0*q - 2*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*z**5 - 4591*z**4 + 3*z**3 - 306058*z**2 + 2*z wrt z?\nAnswer: 1980*z**2 - 110184*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a + 175b82?\nAnswer: 175ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42241981 + 42242199.000822. Let c = 218 - p. Round c to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 793 - 421. Let x = 255 - i. Let u = x - -168. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -349133\nAnswer: 3\/349133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**1*k)**(6\/7)\/((k*(k**0*k)\/k)\/(k**(-4)\/k))*(k**(2\/7)\/k**0)\/(k\/((k*k*k*k\/(k\/k**(2\/5)*k))\/k))**(-12\/5) assuming k is positive.\nAnswer: k**(-718\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 1918*v**2.\nAnswer: -1918*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 158152789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0*z + z + 1)*(-4312*z + 2159*z + 2180*z)*(0*z**2 - z**2 + 2*z**2) to t + c*z**2 + u*z + b*z**4 + o*z**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 0*c**2 + 1\/12*c**4 + 0 - 7\/6*c**3 - 2*c. Let o(x) = -x. Suppose -v = 0, 0*l - 20 = -4*l - v. What is l*f(y) - 35*o(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 930 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155 = -h - 277 + 120, -h = -3*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/155*-82*(-240)\/5904?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 + 12*b**2 + 2. Let k be q(-12). Let c be 1 + (k\/2 - -2). Let x(j) = -2*j + 1. Let f be x(-2). Sort f, -4, c in increasing order.\nAnswer: -4, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 173774135 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3819741.999315 + 3819558. Let f = k + 184. What is f rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + h - 1. Let i(m) = -m**2 + 2*m - 2. Let x be (-20)\/(-8)*8\/10. Suppose 3*l = -0*l - 2*o - 3, 2*l + 2*o = 0. Give l*y(z) + x*i(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41311124 (base 5) to base 4.\nAnswer: -1102211301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, -2, -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 787681.\nAnswer: 23, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 720429 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 - 34. Suppose -y*n + d + 8 = 0, 3*n - d = d + 13. Let m(i) = 7*i**2 + i - 1. Calculate m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1, 1\/2, -2\/13, 1, 2\/13, -47?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of p**5 + 17*p**4 - 244*p**3\/3 - 336*p**2 - p - 4496. Factor a(r).\nAnswer: 4*(r + 1)*(r + 12)*(5*r - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140934 divided by -3?\nAnswer: -46978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5372 and 374?\nAnswer: 59092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7*(-5)\/(-45) + (16\/(-9) - -2). Let u = 6 + -3. Solve -s = -4*c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31137, -62280, -93423?\nAnswer: -124566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*2\/(-3)*1. Suppose 0*s - h = -2*s. Suppose -3*m + 8 = -s*m. Solve 0 = 5*z - 4*u - 1, 4*u - 2*u + m = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 2*s**2 - 4*s + 1. Let v(r) = -r + 10. Let u be v(13). Calculate the lowest common multiple of h(u) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -y**6\/36 - y**5\/10 - y**4\/8 - y**3\/18 + 28. Factor o(n).\nAnswer: -n**2*(n + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-6)*1*(-6)\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000000100011 (base 2) to base 12.\nAnswer: -2483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, d: 9, h: 2, l: 2, b: 1}. What is prob of sequence lhb?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a**3 - a**2 + 5*a - 4. Let z = 1 - 3. Let y(t) = 11*t**3 + 3*t**2 - 16*t + 13. Let k(i) = z*y(i) - 7*s(i). Is 16 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-58)\/(-6))\/29*((-60)\/(-1))\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2102200102010 (base 3) to base 16.\nAnswer: -13ba11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (1 - 3 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4828 greater than or equal to -4504100\/933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 1. Suppose -2*n = 5*p - 7, -5*p = -5*n - 367 + 332. Let f(a) be the third derivative of a**3\/6 - 2*a**2. Give p*f(u) + 4*t(u).\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001111101011001 + -100010?\nAnswer: 10001111100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2\/7)\/u)**(-24\/11)*(u**(-2\/3))**(9\/4))\/((u*(u*u*u**(-3)*u*u*u*u)\/u*u**(1\/3))\/(u**7*u*u**(2\/13))) assuming u is positive.\nAnswer: u**(36791\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3882.2 minus -0.5?\nAnswer: -3881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.4  (b) 5  (c) 193  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 5:29 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/70 and 11\/16296?\nAnswer: 81480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 569*h = -564*h, 0 = -c + 2*h - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -15)*1\/1. Let n(z) = -z**3 + 38*z**2 - 32*z - 192. Let i be n(37). Let p = v + i. Calculate the remainder when p is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38 - -12) + (-40 - -134) + -4 + 3 + 0?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l - 6. Determine a(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h. Let m(d) = -31*d. What is q(m(p))?\nAnswer: -93*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 2)*(-o**2 - 2*o + 2*o) + (3 - 5 - 4)*(-2 - 2*o**2 + 2) + 62*o - 16*o**2 - 62*o.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -24*g**3 + 3*g + 12. Let o(n) = 47*n**3 - 5*n - 25. Determine -3*o(d) - 5*q(d).\nAnswer: -21*d**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 52*f - 19 + 48 - 14 - 18. Let q(k) = 104085*k - 104085*k - 2*k**2. Give n(q(y)).\nAnswer: -104*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 182701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, 1\/6, -0.28?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3016)\/20)\/(2*5\/(-50)). What is the greatest common factor of 58 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -4*f**3 + 52*f**2 - 140*f - 196 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2 - 105*f + 817. Let s = -69 + 112. Calculate the remainder when n(8) is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1835875134*q - 69*q**2 + 1835875134*q.\nAnswer: -69*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 67723501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 75.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/14010?  (a) 4  (b) -0.1  (c) -2  (d) 3  (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(17)*-6)**2 + (sqrt(17) - sqrt(187)\/(sqrt(44)\/sqrt(4))) + sqrt(68)*5 + 5.\nAnswer: 10*sqrt(17) + 2453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f. Let c(x) be the first derivative of 19*x**3\/6 - 190*x - 107. Let m(a) be the first derivative of c(a). Give p(m(v)).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -40.6 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -28  (b) -40  (c) -3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1703 - -2919. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of -4*q**4\/3 - 13*q - 12. Let u(a) be the first derivative of b(a). Let c(d) = -2*d. Determine u(c(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.04 and -0.131.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 330 + -648. Let t = -178 - r. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -360, 5, 4, -9, 3, 26 in ascending order.\nAnswer: -360, -9, 3, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-195)\/3*(-103)\/8755*-85.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 plus 0.005131686493?\nAnswer: 18.005131686493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6445.2 - -0.02795.\nAnswer: 6445.22795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2304043 and 1772?\nAnswer: 9216172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43256 or 6661451\/154?\nAnswer: 43256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102508, -205162, -308132, -411574, -515644, -620498, -726292?\nAnswer: -833182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 93 = 159. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11*f**3 - 88*f**2 + 4*f - 7. Let a(c) = -3*c**3 + 3*c**2 + c - 1. Give -4*a(i) + x(i).\nAnswer: i**3 - 100*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, w: 1, h: 1, n: 3, q: 3}. Give prob of sequence qnhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11735*b**4 - 52*b + 44 wrt b.\nAnswer: 140820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5200\/120)\/65)\/(-23 - -5).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20835.2 + -498822.\nAnswer: -519657.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6*(-1 - 2*-1). Let l be (1 + -5)*r\/4. Calculate the greatest common divisor of 66 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5063913 and 913?\nAnswer: 55703043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 + 19*b + 44. Let r(p) = p**3 - 3*p**2 - 19*p + 40. Let k be r(5). Let o be j(k). What is the third smallest value in o, 3, -2\/15, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 2112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1029*c**3 + 1808*c**2 wrt c?\nAnswer: 6174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (39\/6 - 8)*(-64)\/6. Suppose 6*i - d*i = -110. Calculate the smallest common multiple of 255 and i.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 36667*a**4\/8 - 7*a**3\/6 - 4*a**2. Let c be x(7). Round c to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 715 a factor of 1093652965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -87 - -91. Suppose 11*i = 14*i + 3, -v + 8 = -y*i. Solve -3*g = 5*u + 10, 0 = -2*g + u - v - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5510680 or -5510686?\nAnswer: -5510686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**5\/11 + 1186*r**4\/11 + 19052*r**3 + 6899624*r**2\/11 - 651000624*r\/11 + 643890240\/11 = 0.\nAnswer: -246, -140, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 = -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 204*a**2. Let w(u) = -24*u + 6. Calculate w(p(j)).\nAnswer: -4896*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -1. Let f(v) = -2 + 1 - 4*v + 3*v. Let p(h) = f(h) - 2*u(h). Give p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/4 + 117*f\/4 + 305\/2.\nAnswer: -(f - 122)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46892, -46719, -46546, -46373?\nAnswer: -46200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 638 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -16. Let k be r\/4*(-1 - -11). Solve n = k*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3 + 5 - 4*l - 1 + l**2 - 2. Let h be z(4). Suppose 37 = 5*t + 4*v, -v = 3*v - 12. Solve t - 30 = h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5187679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -907277, -1814674, -2722081, -3629498, -4536925?\nAnswer: -5444362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3, 8, 13, 18?\n\"Answer: 5*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in -0.1, 2\/7, -0.0532?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 31*k**2 - 208*k - 278. Calculate x(-23).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.9 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4583*d**2 + 178745*d + 322. What is s(-39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**2 - 8*i + 4. Let u(s) = 5*s**2 + 18*s - 9. Let z = -98 + 89. Let m(y) = z*f(y) - 4*u(y). Let l(g) = -g. Give l(m(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 6*t - 845. Suppose 0*h = -h + 2*v + t, -4*h + 612 = v. What is the remainder when h is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2))**6*(c**1)**(-9\/8) assuming c is positive.\nAnswer: c**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**3\/10 - 62*c**2\/5 - 593*c\/2 - 1995 = 0.\nAnswer: -95, -15, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23979 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -42 + -21?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15*(324\/30)\/6. Let o = -1 + 4. Suppose u = 2*y - 274, -4*u = -3*y - o*u + 409. Calculate the highest common divisor of w and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -243*w**2 + 1942*w + 50. What is s(8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-450288.\nAnswer: 13508.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 + 3)*(2 + 0 + 1)*(-2*q - 2 + 2) - 5 + 5 - 2*q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(-2 - 40\/(-1)). Let m = -23 - n. What is the remainder when m is divided by -1 - -2*(-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 19 = -2*o + 39, 4*y = 2*o - 48. Suppose -o = 28*z - 112. Solve -3*p - 12 = -3*i, -z*p - 5*i = -2 - 18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (11 - (3 - -10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(4*(sqrt(264) - sqrt(264)*1))\/sqrt(11))\/((sqrt(72) - (sqrt(72) - 1*sqrt(72)*4))\/((sqrt(96)\/sqrt(2))\/sqrt(8))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.33 and 10349.9282846.\nAnswer: 10349.5982846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 373615 (base 10) to base 11\nAnswer: 235780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -337*g**6\/30 - g**5\/20 + g**4\/3 + 4*g**3\/3 - 54*g**2. Let h be j(-4). What is h rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m**2 - m. Let q(c) = 3*c**2. Let h = 0 - -4. Suppose i + 2 = h. Let s(p) = i*t(p) - 3*q(p). Find the second derivative of s(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 0.14.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - -36. Suppose g + 5244 = 4*y + 1612, -2*g = -c*y + 3636. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + 16. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 8 = 2*g, g - w + 566 - 567 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 - 3 + 2 + 1 - 2 + (2 + 5 - 6)*(0 + 2 + 0))*(1 - 4 + 2 + (0 + 0 + 2)*(1 - 2 + 0) + 4 + 5 - 3) + 4 - 3 - 4)*(21*r - 33*r - 65*r).\nAnswer: -231*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8412090.\nAnswer: 2, 3, 5, 43, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -59 or -16864?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 191*w. Let r(v) = 15*v**2. Give r(y(d)).\nAnswer: 547215*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4404973 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -3 + -8 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3868 - -3862. Let t be 2\/5 - 8\/(-30). Is t at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59752619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13\/4 - (-9790)\/(-7832). Let p(o) = o + 0 + 1 + 0*o. Let j(b) = 2*b**2 + 7*b. What is x*p(n) - j(n)?\nAnswer: -2*n**2 - 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11100100011000011111 (base 2) to base 14\nAnswer: -1a4ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -65*7\/(35\/(-4)). Let v = -644 + 12877\/20. What is the common denominator of v and ((-105)\/24 + 4)*s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 7:49 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/9  (b) -3  (c) -2976  (d) 0  (e) -0.3  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g**(-1\/28)*g*(g*g*g**(2\/9))\/g*g*(g\/(g**(-4\/7)\/g*g))\/((g**10\/g)\/g) assuming g is positive.\nAnswer: g**(-313\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, f: 1, s: 8, v: 8}. Give prob of sequence hvf.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -20*v - 1 + 2 + 19*v. Let c be z(-1). Is 0.2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*m - m**2 + 3*m**2 + 5*m - 23*m.\nAnswer: 2*m**2 - 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oyoh. Give prob of sequence ooy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 10:57 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -5  (c) 373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.3 + -23.3. Let k = -2 - -1.8. What is the nearest to k in f, -4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o**3 - o**2 + 1. Let k be r(1). Let x = k - 4. Solve -x*z = 5*w - 24, -2*w + 5 = z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**6\/720 + z**5\/120 - z**4\/12 + 4*z**3\/3 - 55*z**2. Let g(l) be the second derivative of o(l). Give g(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 7  (b) 0.12  (c) -0.07  (d) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + 2. Solve 0 = 5*l - 2*l - s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12351 + 88328. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45319 by 4.\nAnswer: -45319\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/((-750)\/27)*124\/(-93)*35\/1?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 114, 100, 84, 66?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**4 - 35*l**3 - 25*l**2 + 35*l + 30 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 3*z - 17 = 0, 4*k + 7*z - 16 = 3*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5711 (base 8) to base 7\nAnswer: -11540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f + 777 - f + 1704 + 3*f.\nAnswer: -2*f + 2481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/200*5)\/((-1)\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.26 + -0.04. Let c = -10147\/2 + 5074. What is the third smallest value in c, -9, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 4. Let m = -8.99 + 9. Let b = 0.41 - m. What is the closest to -1\/4 in b, -1\/8, v?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 15*v - 14*v + 10*v to the form o*v + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198670.\nAnswer: 2, 5, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 87400.44 days in minutes?\nAnswer: 125856633.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -220066+-0.2\nAnswer: -220066.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 1:38 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17426233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 61 + -59. Let j be (90\/25)\/(p\/5*1). Suppose 20*i - 297 = 17*i. Calculate the greatest common divisor of i and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 435319 and 145?\nAnswer: 2176595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 36\/27*1*3. Suppose o*x = x + 12. Suppose r + 202 = x*k, -2*k - 4*r = r - 112. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 33*l**2 - 116*l + 51. Give r(29).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-10) + 386\/(-10). Is c bigger than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -145, -293, -451, -625, -821, -1045, -1303?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -85b840 - 2?\nAnswer: -85b842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -15*w - 3. Let x be k(-4). Suppose 0*l = 4*l - b - x, 10 = -2*b. Calculate the remainder when 57 - 13 - (1 - 0)*6 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgglltgtgtlqmls. What is prob of picking 1 s and 2 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -81, 5, -2305, 15 in descending order.\nAnswer: 15, 5, -81, -2305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 79336997 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180230 is divided by 323?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43280 or -43272?\nAnswer: -43272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**3 - 4*l**2 + 1. Let s(r) = -r**2. Let u be 10\/(-20)*(-5)\/(5\/586). Let w = u - 297. Calculate w*s(o) + x(o).\nAnswer: 4*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43760*f + 87524*f - 43762*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -650744 divided by 5.\nAnswer: -650744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7647 (base 14) to base 8.\nAnswer: -47737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u - c = -12*u - 3, -2*u = 3*c - 1. Solve 0*m + 0*m**u - 2\/3*m**5 + 0 + 4\/3*m**4 + 0*m**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*t - 2*t - 11*t + 0*t in the form a*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(104)*-2 - sqrt(104)*-3*-3)\/((sqrt(24)\/sqrt(3)*1 - (sqrt(72)*-2 - sqrt(72)))*1).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35548 + -31662. Calculate the remainder when p is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12393 is divided by 4111?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/311751 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29280 and 23924688.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3661*n + 3665*n - 40 = 3*x, -n - x = -3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-20) - (-1426)\/(-10). Let g = -63 - f. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -91 + 65. Let i = -25.96 - k. Sort 3, -0.3, i in ascending order.\nAnswer: -0.3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 0, -10, 3, -294, -1 in descending order.\nAnswer: 3, 0, -1, -10, -15, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 97 + -91.64. Let q = c + -5. Let a = q - 2.06. Round a to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrqr when four letters picked without replacement from rrqrqrrrqqqq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10248992?\nAnswer: 2, 13, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2\/5 - 116*m\/5 - 228\/5 = 0 for m.\nAnswer: -114, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of 19*v**3\/6 - 3*v**2 + v. Is t(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0016722 times 1.78?\nAnswer: 0.002976516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42514466 by 2.\nAnswer: -21257233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -663.\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**5 + 325*y**4 + 1045*y**3 - 1685*y**2 - 1040*y + 1360 = 0.\nAnswer: -4, -1, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -0.1, 119, -1, 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -672 + 674 + (-6 + 5)\/(1\/23).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t + 39 - 32*t - 39.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (24 + 3)\/9*2\/2. Suppose -4*o = -4*l + 13 + d, -l - 4*o - 6 = 0. Let b(f) = f - 1. Let c be b(3). Solve l = -c*i + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*r = 243006 - 4004854 - 6610205. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -131585?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*o + 100 = 73*o. Let w = -27 - -55\/2. Is w greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdrrggmadmrar. Give prob of picking 1 a and 2 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 30 = 3*b. Let v = 5 + 7. Suppose 3*p + v = -0*p. Sort b, 2, p in descending order.\nAnswer: 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5\/(-20) + (-3038)\/(-56) and 75.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/10 - (-54)\/(-15). Let t be (-1 - 2*-1) + -1. Let y = 9 - 5. Put t, a, y in decreasing order.\nAnswer: y, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 11*q**2 - 273*q + 2016. Determine y(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1337064817 to the power of 1\/4, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 92058454 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.43 + 97.43. Let o = b + -95.8. What is the third biggest value in -15, -2, o?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/j**(-7))\/j))**(2\/73)\/(j**30)**(29\/3) assuming j is positive.\nAnswer: j**(-21182\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31830566 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 61. Let o(u) = 33*u**2 - 17*u**2 - 13*u**2. Give q(o(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 109 + -111. Let m be 1\/u - 1\/(-2). Suppose -i - 15 + 17 = m. Solve -2*c = -3*c - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 2 q, and 1 u when four letters picked without replacement from {j: 3, m: 1, q: 3, u: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3673937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 3*v + 7, 3*i = -2*v - 0 - 1. What is the second smallest value in 5, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.02, -3, -436659?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01104519885 rounded to 4 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 4, i: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-13)\/(-5) - 2)*(1870\/102)\/11. Suppose 3*m + 24 = -3*u, -2*u + 5*u + 9 = 0. Put m, 237, y in descending order.\nAnswer: 237, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 1014.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -v + 22093 - 22102, 15 = -5*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 70, 324, 736, 1300, 2010?\n\"Answer: -k**3 + 85*k**2 + 6*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 AM and 9:15 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19\/(1710\/(-27)))\/(6\/5)*132.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.058, -2\/5, 0.4, -5, -7 in increasing order.\nAnswer: -7, -5, -2\/5, -0.058, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + -29 + 13 - (29 - 14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/3)\/(30\/135). Let g = 49 - 635\/13. Factor 8\/13 + 10\/13*u**2 - g*u**h - 16\/13*u.\nAnswer: -2*(u - 2)**2*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 124*g**3*n**5 - 932*g**3*n + 3023*g**2*n**2 - 3638*n**6 wrt n?\nAnswer: 7440*g**3*n**2 - 436560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-3)*((2 - 2) + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (27 - 6) + (-21 - -12) and 1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 + 1319 + 2*p**2 + 1319 - 2637 + 158*p**4 as t + o*p**2 + v*p**4 + x*p + f*p**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 16\/3. Let z = -0.2 - -0.4. What is the closest to z in 0, w, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qcqczzzzz. What is prob of picking 2 q and 2 c?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -1774?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 333 divided by 131860?\nAnswer: 333\/131860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11734 - 11288. Calculate the greatest common factor of 22 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}